The FutureSchool programmes have been fully aligned to the Northern Ireland Curriculum from Key Stage 1 to Key Stage 4. Additionally there is a range of GCSE revision courses for each of the major Examination Boards.

You can rest assured that the programme will complement and work hand-in-hand with their current schoolwork.

For those schools that offer the International Baccalaureate or Cambridge International Examinations curricula, these are also available within FutureSchool as part of its standard curriculum library.

To see more detail about lessons covered within our subjects, just click on the year group titles below:







Mathematics

Primary 1 (P1) Mathematics

#TOPICTITLE
1Study PlanStudy plan – Primary 1 (P1)
Objective: On completion of the course formative assessment a tailored study plan is created identifying the lessons requiring revision.
2Using and applying numberThe numbers 1 to 5
Objective: On completion of the lesson the student will be able to read, write and identify the words and numerals for the numbers 1 to 5
3Using and applying numberThe numbers 6 to 9
Objective: On completion of the lesson the student will be able to match cardinal words and numbers with groups of 6-9 objects.
4The number systemOrdinal numbers 1 to 9
Objective: On completion of the lesson the student will be able to match ordinal words and numbers with groups of 1-9 objects.
5Using and applying numberZero and counting numbers 1 to 9
Objective: On completion of the lesson the student will be able to recognise, write and match the numeral and word for the number zero.
6Using and applying numberThe number 10
Objective: On completion of the lesson the student will be able to write the numeral and word for the number 10, count up to 10 objects and to match a group of objects to the correct number.
7Using and applying numberNumbers 11 to 20
Objective: On completion of the lesson the student will be able to write the numeral and word for the numbers 11 to 20, count up to 20 and match a group of objects to the correct number.
8Using and applying numberUsing place value to order numbers up to 20
Objective: On completion of the lesson the student will be able to use place value to order numbers up to the value of 20.
9ReasoningSimple addition up to the number 10
Objective: On completion of the lesson the student will be able to write simple number sentences that show numbers adding up to another number.
10ReasoningSimple addition up to the number 20
Objective: On completion of the lesson the student will be able to write simple number sentences and also write addition in a vertical format using numbers up to 20.
11CalculationsSubtraction up to the number 10
Objective: On completion of the lesson the student will be able to calculate the answer to take away or subtraction number sentences up to the number 10.
12CalculationsSubtraction by Comparison
Objective: On completion of the lesson the student will be able to calculate take away or subtraction number sentences by comparison methods.
13CalculationsSubtraction up to the number 20 and beyond
Objective: On completion of the lesson the student will be capable of subtraction using tens and units and calculating the answer to take away or subtraction number sentences.
14Calculation-groupingMultiplication using equal groups
Objective: On completion of the lesson the student will be able to write about equal groups and rows and will understand how to count them.
15Calculation-groupingMultiplication using repeated addition
Objective: On completion of the lesson the student will be able to write about equal groups and rows using another method and also learn different ways to count them.
16Calculation-multiplicationThe multiplication sign
Objective: on completion of the lesson the student will be able to multiply single numbers to solve multiplication problems.
17Calculation sharing/divisionStrategies for division
Objective: On completion of the lesson the student will be able to share objects equally and will also learn how to write about them.
18Calculation-multiplesMultiples of 10 up to 100
Objective: On completion of the lesson the student will be able to read, write, rename and add multiples of ten.
19CalculationsThe numbers 20 to 99
Objective: On completion of the lesson the student will be able to identify, name and add groups of ten, counting to ninety-nine.
20Calculation 10-100Counting by 1, 2, 5, and 10 to 100
Objective: On completion of the lesson the student will be able to skip count to one hundred and show that one hundred equals ten times ten.
21Calculation-larger numbersThe numbers 100 to 999
Objective: On completion of the lesson the student will be able to count to 999, skip count by 10s and 100s to 999 and use pictures or objects to represent the numbers 100 to 999.
22AdditionAddition to 99
Objective: On completion of the lesson the student will be able to use place value to add two 2-digit numbers together up to a total of 99.
23SubtractionSubtraction up to the number 99
Objective: On completion of the lesson the student will know how to find the answer to take away number sentences with bigger numbers and will also know how to write these number sentences.
24SubtractionSubtraction with borrowing
Objective: On completion of the lesson the student will be able to record subtraction number sentences and will understand the need to trade between place value columns using the renaming method
25SubtractionSubtraction of two-digit numbers Involving comparison.
Objective: On completion of the lesson the student will know how to solve and record the answer to word problems and will understand how estimation helps to find out if an answer is correct.
26ExamExam – Primary 1 (P1)
Objective: Exam
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Primary 2 (P2) Mathematics

#TOPICTITLE
1Study PlanStudy plan – Primary 2 (P2)
Objective: On completion of the course formative assessment a tailored study plan is created identifying the lessons requiring revision.
2Using and applying numberZero and counting numbers 1 to 9
Objective: On completion of the lesson the student will be able to recognise, write and match the numeral and word for the number zero.
3Using and applying numberThe number 10
Objective: On completion of the lesson the student will be able to write the numeral and word for the number 10, count up to 10 objects and to match a group of objects to the correct number.
4Using and applying numberNumbers 11 to 20
Objective: On completion of the lesson the student will be able to write the numeral and word for the numbers 11 to 20, count up to 20 and match a group of objects to the correct number.
5Using and applying numberUsing place value to order numbers up to 20
Objective: On completion of the lesson the student will be able to use place value to order numbers up to the value of 20.
6ReasoningSimple addition up to the number 10
Objective: On completion of the lesson the student will be able to write simple number sentences that show numbers adding up to another number.
7ReasoningSimple addition up to the number 20
Objective: On completion of the lesson the student will be able to write simple number sentences and also write addition in a vertical format using numbers up to 20.
8CalculationsSubtraction up to the number 10
Objective: On completion of the lesson the student will be able to calculate the answer to take away or subtraction number sentences up to the number 10.
9CalculationsSubtraction by Comparison
Objective: On completion of the lesson the student will be able to calculate take away or subtraction number sentences by comparison methods.
10CalculationsSubtraction up to the number 20 and beyond
Objective: On completion of the lesson the student will be capable of subtraction using tens and units and calculating the answer to take away or subtraction number sentences.
11Calculation-groupingMultiplication using equal groups
Objective: On completion of the lesson the student will be able to write about equal groups and rows and will understand how to count them.
12Calculation-groupingMultiplication using repeated addition
Objective: On completion of the lesson the student will be able to write about equal groups and rows using another method and also learn different ways to count them.
13Calculation-multiplicationThe multiplication sign
Objective: on completion of the lesson the student will be able to multiply single numbers to solve multiplication problems.
14Calculation sharing/divisionStrategies for division
Objective: On completion of the lesson the student will be able to share objects equally and will also learn how to write about them.
15Calculation-multiplesMultiples of 10 up to 100
Objective: On completion of the lesson the student will be able to read, write, rename and add multiples of ten.
16CalculationsThe numbers 20 to 99
Objective: On completion of the lesson the student will be able to identify, name and add groups of ten, counting to ninety-nine.
17Calculation 10-100Counting by 1, 2, 5, and 10 to 100
Objective: On completion of the lesson the student will be able to skip count to one hundred and show that one hundred equals ten times ten.
18Calculation-larger numbersThe numbers 100 to 999
Objective: On completion of the lesson the student will be able to count to 999, skip count by 10s and 100s to 999 and use pictures or objects to represent the numbers 100 to 999.
19AdditionAddition to 99
Objective: On completion of the lesson the student will be able to use place value to add two 2-digit numbers together up to a total of 99.
20SubtractionSubtraction up to the number 99
Objective: On completion of the lesson the student will know how to find the answer to take away number sentences with bigger numbers and will also know how to write these number sentences.
21SubtractionSubtraction with borrowing
Objective: On completion of the lesson the student will be able to record subtraction number sentences and will understand the need to trade between place value columns using the renaming method
22SubtractionSubtraction of two-digit numbers Involving comparison.
Objective: On completion of the lesson the student will know how to solve and record the answer to word problems and will understand how estimation helps to find out if an answer is correct.
23MultiplicationMultiplication – important facts.
Objective: On completion of the lesson the student will know the connection between multiplication and division and recognise the strategies to help solve multiplication number sentences.
24MultiplicationMultiples and factors of whole numbers
Objective: On completion of the lesson the student will be able to specify multiples and factors of whole numbers, and calculate the product of squared numbers.
25ProblemsSolve and record division using known facts and sharing
Objective: On completion of the lesson the student will be able to use sharing concepts to solve and record division problems.
26Place valueThe numbers 1000 to 9999
Objective: On completion of the lesson the student will be able to count to 999, skip count by 10s and 100s to 999 and use pictures or objects to represent the numbers 100 to 999.
27AdditionAddition up to the number 999
Objective: On completion of the lesson the student will be able to use place value to solve and record addition problems with three digit numbers.
28SubtractionSubtraction up to the number 999 using the renaming method
Objective: On completion of the lesson the student will know another way to trade between columns in subtraction using the renaming method. The student will also learn how to solve number sentences with missing numbers.
29MultiplicationMultiplication using extended algorithms.
Objective: On completion of the lesson the student will have understood multiplication using extended algorithms.
30DivisionDivision with and without a remainder.
Objective: On completion of the lesson the student will understand division with and without a Remainder.
31DivisionDividing two and three digit numbers by a single digit number.
Objective: On completion of the lesson the student will understand dividing two and three digit numbers by a single digit number.
32ExamExam – Primary 2 (P2)
Objective: Exam
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Primary 3 (P3) Mathematics

#TOPICTITLE
1Study PlanStudy plan – Primary 3 (P3)
Objective: On completion of the course formative assessment a tailored study plan is created identifying the lessons requiring revision.
2Calculation-groupingMultiplication using repeated addition
Objective: On completion of the lesson the student will be able to write about equal groups and rows using another method and also learn different ways to count them.
3Calculation-multiplicationThe multiplication sign
Objective: on completion of the lesson the student will be able to multiply single numbers to solve multiplication problems.
4Calculation sharing/divisionStrategies for division
Objective: On completion of the lesson the student will be able to share objects equally and will also learn how to write about them.
5Calculation-multiplesMultiples of 10 up to 100
Objective: On completion of the lesson the student will be able to read, write, rename and add multiples of ten.
6CalculationsThe numbers 20 to 99
Objective: On completion of the lesson the student will be able to identify, name and add groups of ten, counting to ninety-nine.
7Calculation 10-100Counting by 1, 2, 5, and 10 to 100
Objective: On completion of the lesson the student will be able to skip count to one hundred and show that one hundred equals ten times ten.
8Calculation-larger numbersThe numbers 100 to 999
Objective: On completion of the lesson the student will be able to count to 999, skip count by 10s and 100s to 999 and use pictures or objects to represent the numbers 100 to 999.
9AdditionAddition to 99
Objective: On completion of the lesson the student will be able to use place value to add two 2-digit numbers together up to a total of 99.
10SubtractionSubtraction up to the number 99
Objective: On completion of the lesson the student will know how to find the answer to take away number sentences with bigger numbers and will also know how to write these number sentences.
11SubtractionSubtraction with borrowing
Objective: On completion of the lesson the student will be able to record subtraction number sentences and will understand the need to trade between place value columns using the renaming method
12SubtractionSubtraction of two-digit numbers Involving comparison.
Objective: On completion of the lesson the student will know how to solve and record the answer to word problems and will understand how estimation helps to find out if an answer is correct.
13MultiplicationMultiplication – important facts.
Objective: On completion of the lesson the student will know the connection between multiplication and division and recognise the strategies to help solve multiplication number sentences.
14MultiplicationMultiples and factors of whole numbers
Objective: On completion of the lesson the student will be able to specify multiples and factors of whole numbers, and calculate the product of squared numbers.
15ProblemsSolve and record division using known facts and sharing
Objective: On completion of the lesson the student will be able to use sharing concepts to solve and record division problems.
16Place valueThe numbers 1000 to 9999
Objective: On completion of the lesson the student will be able to count to 999, skip count by 10s and 100s to 999 and use pictures or objects to represent the numbers 100 to 999.
17AdditionAddition up to the number 999
Objective: On completion of the lesson the student will be able to use place value to solve and record addition problems with three digit numbers.
18SubtractionSubtraction up to the number 999 using the renaming method
Objective: On completion of the lesson the student will know another way to trade between columns in subtraction using the renaming method. The student will also learn how to solve number sentences with missing numbers.
19MultiplicationMultiplication using extended algorithms.
Objective: On completion of the lesson the student will have understood multiplication using extended algorithms.
20DivisionDivision with and without a remainder.
Objective: On completion of the lesson the student will understand division with and without a Remainder.
21DivisionDividing two and three digit numbers by a single digit number.
Objective: On completion of the lesson the student will understand dividing two and three digit numbers by a single digit number.
22Counting and numerationThe numbers 10 000 to 99 999
Objective: On completion of the lesson the student will be able to count to 99 999 and use place value to read the value of the numerals within the larger numbers.
23Counting and numerationAddition to 9999 and beyond
Objective: On completion of the lesson the student will be able to use the student’s knowledge of place value to solve addition problems with 3, 4 and 5 digit numbers and word problems.
24SubtractionSubtraction involving four digit numbers and beyond using the renaming method.
Objective: On completion of the lesson the student will be able to use written methods to solve subtraction problems involving 4 and 5 digit whole numbers.
25Counting and numerationSeven digit numbers
Objective: On completion of the lesson the student will be able to use place value knowledge to read and write seven digit whole numbers.
26MultiplicationMultiplication by 2 and 3 digits
Objective: On completion of the lesson the student will be able to solve and record 2 and 3 digit multiplication problems in extended and short form.
27DivisionDivide whole numbers by a 2 digit divisor
Objective: On completion of the lesson the student will be able to solve and record division problems with whole numbers using a two-digit divisor and show any remainders as a fraction.
28LengthCompare length by using informal units of measurement
Objective: On completion of the lesson the student will be able to measure objects around the student’s home and compare their length to each other. The student will also be able to compare the different ways the student measured the same object.
29LengthUsing the metre as a formal unit to measure perimeter
Objective: On completion of the lesson the student will be able to calculate the perimeter of different shapes in metres.
30LengthUsing the formal unit of the centimetre to measure length and perimeter
Objective: On completion of the lesson the student will be able to measure length and perimeter in centimetres.
31LengthRead and calculate distances on a map using the formal unit kilometre
Objective: On completion of the lesson the student will be able to read distances in kilometres and calculate total distances between different locations on a map.
32Weight/massIntroducing the concept of mass
Objective: On completion of the lesson the student will understand the concepts of mass.
33Weight/massThe kilogram
Objective: On completion of the lesson the student will know: how to use the kilogram as a measure of mass., and how to weigh items accurately using scales.
34Weight/massThe gram and net mass
Objective: On completion of the lesson the student will understand: why there’s a zero button on digital scales, how to zero some other types of scales, and also how to measure mass in grams.
35Weight/massThe tonne – converting units and problems
Objective: On completion of the lesson the student should be able to: choose the correct unit to measure the mass of small, medium or large objects, and convert measurements from one unit to another.
36FractionsUsing fractions 1/2, 1/4, 1/8 to describe part of a whole
Objective: On completion of the lesson the student will be able to: name fractions, and use fractions to describe equal parts of a whole.
37FractionsUsing fractions 1/2, 1/4, 1/8 to describe parts of a group or collection
Objective: On completion of the lesson the student will be able to use the fractions to describe equal parts of a collection of objects.
38Time, monthsMonths and seasons of the year
Objective: On completion of the lesson the student will be able to: name and order the months of the year, know the number of days in each month, name the seasons in order, and know the number of months in each season.
39Time, days of weekDays of the week
Objective: On completion of the lesson the student will be able to: name the days of the week in order, recognise them in a written form, be able to answer questions about the days of the week, and have an understanding of a diary.
40Time, durationDuration
Objective: On completion of the lesson the student will be able to estimate and measure the duration of an event using informal units, and compare and order the duration of an event using informal units.
41Time, minutesAnalogue – Telling time – minutes in the hour
Objective: On completion of the lesson the student will be able to recognize the coordinated movements of the hands on an analogue clock.
42Time, unitsUnits of time
Objective: On completion of the lesson the student will be able to convert units of time and read and interpret simple timetables, timelines and calendars.
43Time, a.m. p.m.AM and PM time
Objective: On completion of the lesson the student will be able to talk about am and pm time and use the correct notation for am and pm time.
44Time, quarter to, pastQuarter past and quarter to
Objective: On completion of the lesson the student will be able to associate the numerals 3, 6 and 9 with 15, 30 and 45 minutes, and use the terms ‘quarter to’ and ‘quarter past’.
45Time, minutes past the hourMinutes past
Objective: On completion of the lesson the student will be able to understand and read the minutes past the hour on an analogue clock.
46Time, minutes to the hourMinutes to
Objective: On completion of the lesson the student will be able to understand and read the minutes to the hour on an analogue clock.
47Time, digital, analogueComparing analogue and digital time
Objective: On completion of the lesson the student will be able to: read analogue and digital clocks to the minute, be familiar with the recording of digital time, and tell the same time using both analogue and digital clocks.
48Time, digitalO’clock and half past using digital time
Objective: On completion of the lesson the student will be able to use the terms ‘o’clock’ and ‘half past’, and read hour and half-hour time on a digital clock.
49Time, analogueO’clock and half past on the analogue clock
Objective: On completion of the lesson the student will be able to use the terms ‘o’clock’ and ‘half past’, and read hour and half-hour time on an analogue clock.
50Time, 24-hour24 hour time
Objective: On completion of the lesson the student will be able to: tell the time accurately using twenty-four hour time, change the time from am and pm time to twenty-four hour time, and change the time from twenty-four hour time to am and pm time.
51Time zonesTime zones
Objective: On completion of the lesson the student will be able to: recognise that there are different time zones, compare time zones, understand daylight saving and adjust times accordingly, and determine the local time in different regions.
52ExamExam – Primary 3 (P3)
Objective: Exam
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Primary 4 (P4) Mathematics

#TOPICTITLE
1Study PlanStudy plan – Primary 4 (P4)
Objective: On completion of the course formative assessment a tailored study plan is created identifying the lessons requiring revision.
2Counting and numerationThe numbers 10 000 to 99 999
Objective: On completion of the lesson the student will be able to count to 99 999 and use place value to read the value of the numerals within the larger numbers.
3Counting and numerationAddition to 9999 and beyond
Objective: On completion of the lesson the student will be able to use the student’s knowledge of place value to solve addition problems with 3, 4 and 5 digit numbers and word problems.
4SubtractionSubtraction involving four digit numbers and beyond using the renaming method.
Objective: On completion of the lesson the student will be able to use written methods to solve subtraction problems involving 4 and 5 digit whole numbers.
5Counting and numerationSeven digit numbers
Objective: On completion of the lesson the student will be able to use place value knowledge to read and write seven digit whole numbers.
6MultiplicationMultiplication by 2 and 3 digits
Objective: On completion of the lesson the student will be able to solve and record 2 and 3 digit multiplication problems in extended and short form.
7DivisionDivide whole numbers by a 2 digit divisor
Objective: On completion of the lesson the student will be able to solve and record division problems with whole numbers using a two-digit divisor and show any remainders as a fraction.
8LengthCompare length by using informal units of measurement
Objective: On completion of the lesson the student will be able to measure objects around the student’s home and compare their length to each other. The student will also be able to compare the different ways the student measured the same object.
9LengthUsing the metre as a formal unit to measure perimeter
Objective: On completion of the lesson the student will be able to calculate the perimeter of different shapes in metres.
10LengthUsing the formal unit of the centimetre to measure length and perimeter
Objective: On completion of the lesson the student will be able to measure length and perimeter in centimetres.
11LengthRead and calculate distances on a map using the formal unit kilometre
Objective: On completion of the lesson the student will be able to read distances in kilometres and calculate total distances between different locations on a map.
12Weight/massIntroducing the concept of mass
Objective: On completion of the lesson the student will understand the concepts of mass.
13Weight/massThe kilogram
Objective: On completion of the lesson the student will know: how to use the kilogram as a measure of mass., and how to weigh items accurately using scales.
14Weight/massThe gram and net mass
Objective: On completion of the lesson the student will understand: why there’s a zero button on digital scales, how to zero some other types of scales, and also how to measure mass in grams.
15Weight/massThe tonne – converting units and problems
Objective: On completion of the lesson the student should be able to: choose the correct unit to measure the mass of small, medium or large objects, and convert measurements from one unit to another.
16FractionsUsing fractions 1/2, 1/4, 1/8 to describe part of a whole
Objective: On completion of the lesson the student will be able to: name fractions, and use fractions to describe equal parts of a whole.
17FractionsUsing fractions 1/2, 1/4, 1/8 to describe parts of a group or collection
Objective: On completion of the lesson the student will be able to use the fractions to describe equal parts of a collection of objects.
18FractionsComparing and ordering fractions
Objective: On completion of the lesson the student will be able to compare and order fractions with the same number of equal parts, and compare and order fractions with a different number of equal parts.
19Fractionsmixed numbers (mixed numerals)
Objective: On completion of the lesson the student will be able to: name and recognise mixed numbers (mixed numerals), count by halves and quarters, and use a number line to represent halves and quarters beyond one.
20FractionsImproper fractions
Objective: On completion of the lesson the student will be able to: use diagrams and number lines to recognise and represent mixed numbers and improper fractions, and develop strategies for changing improper fractions to mixed numbers and vice versa, mentally.
21FractionsFractions 1/5, 1/10, 1/100
Objective: On completion of the lesson the student will be able to: compare fractions with the denominators 5, 10, 100, and represent fractions with the denominator 5, 10, 100.
22Time, monthsMonths and seasons of the year
Objective: On completion of the lesson the student will be able to: name and order the months of the year, know the number of days in each month, name the seasons in order, and know the number of months in each season.
23Time, days of weekDays of the week
Objective: On completion of the lesson the student will be able to: name the days of the week in order, recognise them in a written form, be able to answer questions about the days of the week, and have an understanding of a diary.
24Time, durationDuration
Objective: On completion of the lesson the student will be able to estimate and measure the duration of an event using informal units, and compare and order the duration of an event using informal units.
25Time, minutesAnalogue – Telling time – minutes in the hour
Objective: On completion of the lesson the student will be able to recognize the coordinated movements of the hands on an analogue clock.
26Time, unitsUnits of time
Objective: On completion of the lesson the student will be able to convert units of time and read and interpret simple timetables, timelines and calendars.
27Time, a.m. p.m.AM and PM time
Objective: On completion of the lesson the student will be able to talk about am and pm time and use the correct notation for am and pm time.
28Time, quarter to, pastQuarter past and quarter to
Objective: On completion of the lesson the student will be able to associate the numerals 3, 6 and 9 with 15, 30 and 45 minutes, and use the terms ‘quarter to’ and ‘quarter past’.
29Time, minutes past the hourMinutes past
Objective: On completion of the lesson the student will be able to understand and read the minutes past the hour on an analogue clock.
30Time, minutes to the hourMinutes to
Objective: On completion of the lesson the student will be able to understand and read the minutes to the hour on an analogue clock.
31Time, digital, analogueComparing analogue and digital time
Objective: On completion of the lesson the student will be able to: read analogue and digital clocks to the minute, be familiar with the recording of digital time, and tell the same time using both analogue and digital clocks.
32Time, digitalO’clock and half past using digital time
Objective: On completion of the lesson the student will be able to use the terms ‘o’clock’ and ‘half past’, and read hour and half-hour time on a digital clock.
33Time, analogueO’clock and half past on the analogue clock
Objective: On completion of the lesson the student will be able to use the terms ‘o’clock’ and ‘half past’, and read hour and half-hour time on an analogue clock.
34Time, 24-hour24 hour time
Objective: On completion of the lesson the student will be able to: tell the time accurately using twenty-four hour time, change the time from am and pm time to twenty-four hour time, and change the time from twenty-four hour time to am and pm time.
35Time zonesTime zones
Objective: On completion of the lesson the student will be able to: recognise that there are different time zones, compare time zones, understand daylight saving and adjust times accordingly, and determine the local time in different regions.
36Time, distance, speedAverage speed
Objective: On completion of the lesson the student will be able to understand what is meant by the speed of an object, read the instantaneous speed of a vehicle on a speedometer and find the average speed of an object.
372-D shapesUsing the prefix to determine polygons
Objective: On completion of the lesson the student will be able to recognise and name two-dimensional shapes such as pentagons and hexagons, using the prefix of the shapes name to determine number of angles and sides.
382-D shapesSpatial properties of quadrilaterals
Objective: On completion of the lesson the student will know how to analyse and explain the spatial properties of quadrilaterals.
39AnglesMeasure and classify angles
Objective: On completion of the lesson the student will be able to recognise, measure and classify angles and measure the angles in a triangle.
402-D shapesRecognise and name triangles
Objective: On completion of the lesson the student will be able to recognise and correctly name triangles according to their properties.
41Tessellating 2-D shapesUse grids to enlarge/reduce 2D shapes
Objective: On completion of the lesson the student will be able to use grids to enlarge or reduce two dimensional shapes and also to recognise shapes that will and won’t tessellate.
423-D shapesRecognise and name prisms according to spatial properties
Objective: On completion of the lesson the student will be able to recognise and name various prisms according to their spatial properties.
433-D shapesRecognise and name pyramids according to spatial properties
Objective: On completion of the lesson the student will be able to recognise, describe and name pyramids according to their spatial properties.
44DataPictograms
Objective: On completion of the lesson the student will be able to organise, read and summarise information in picture graphs.
45DataBar Charts
Objective: On completion of the lesson the student will be able to organise, read and summarise information in column graphs.
46DataLine graphs.
Objective: On completion of the lesson the student will be able to organise, read and summarise information in line graphs.
47DataPie and bar graphs.
Objective: On completion of the lesson the student will be able to organise, read and summarise information in pie and bar graphs.
48MultiplicationMultiplying 2-digit numbers by multiple of 10
Objective: On completion of the lesson the student will be able to multiply any 2 digit number by any multiple of 10 using the process of long multiplication.
49MultiplicationMultiplying 3 and 4-digit numbers by multiples of 100
Objective: On completion of the lesson the student will be able to multiply any 3 or 4 digit numbers by any multiple of 100 using long multiplication.
50MultiplicationMultiplying 2-digit numbers by 2-digit numbers
Objective: On completion of the lesson the student will be able to multiply any 2 digit number by any other 2 digit number.
51MultiplicationMultiplying 4-digit numbers by 3-digit numbers
Objective: On completion of the lesson the student will be able to multiply any 4 digit numbers by any 3 digit numbers using long multiplication.
52MultiplicationMultiplying 4-digit numbers by 4-digit number
Objective: On completion of the lesson the student will be able to be able to multiply any 4 digit number by any other 4 digit number using long multiplication.
53Division/repeat subtractionRepeated subtraction with divisors less than 20 with no remainders
Objective: On completion of the lesson the student will be able to use long division by repeated subtraction with divisors less than 20.
54Division/repeat subtractionRepeated subtraction by multiples of 10 with divisors less than 20 with no remainders
Objective: On completion of the lesson the student will be able to use long division with repeated subtraction by multiples of 10 with divisors less than 20 and no remainders.
55Division/repeat subtractionRepeated subtraction by multiples of 2, 3 and 4 with divisors greater than 20 with no remainders
Objective: On completion of the lesson the student will be able to use long division with repeated subtraction by multiples of 2,3,4 where divisors are greater than 20 and there are no remainders.
56Division/repeat subtractionRepeated subtraction by multiples of 1,2 and 3 with divisors less than 20 with remainders
Objective: On completion of the lesson the student will be able to use long division with repeated subtraction by multiples of 1,2,3 where the divisors are less than 20 and there are remainders.
57Division/repeat subtractionRepeated subtraction by multiples of 10 with divisors less than 20 with remainders
Objective: On completion of the lesson the student will be able to use long division with repeated subtraction by multiples of 10 where the divisors are greater than 12 and less than 20, and the dividend is any 3 digit number, and there are remainders.
58Division/repeat subtractionRepeated subtraction with divisors greater than 20 with remainders as fractions
Objective: On completion of the lesson the student will be able to use long division by repeated subtraction with divisors greater than 20 and remainders expressed as fractions
59Division/repeat subtractionRepeated subtraction with divisors less than 35 with some remainders
Objective: On completion of the lesson the student will be able to use long division by repeated subtraction with divisors less than 35, with some remainders.
60Division/repeat subtractionRepeated subtraction with divisors less than 55 with dividends of 3 and 4-digits with some remainders
Objective: On completion of the lesson the student will be able to use long division by repeated subtraction with divisors less than 55 and where dividends are 3 and 4 digit numbers, and there are some remainders.
61Division/repeat subtractionRepeated subtraction with divisors greater than 50 with dividends of thousands and some remainders
Objective: On completion of the lesson the student will able to use Long Division by repeated subtraction with divisors greater than 50 including division of thousands, and some remainders.
62Division/repeat subtractionUsing divide, multiply and subtraction in the bring down method
Objective: On completion of the lesson the student will be able to use Long Division using the Divide, Multiply, Subtract and Bring Down method.
63Sign word problemsSolving Word Problems by recognising Sign Words
Objective: On completion of the lesson the student will be able to solve problems by recognising Sign Words that identify which operation to use: addition, subtraction, multiplication or division.
64ExamExam – Primary 4 (P4)
Objective: Exam
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Primary 5 (P5) Mathematics

#TOPICTITLE
1Study PlanStudy plan – Primary 5 (P5)
Objective: On completion of the course formative assessment a tailored study plan is created identifying the lessons requiring revision.
2DivisionDivide whole numbers by a 2 digit divisor
Objective: On completion of the lesson the student will be able to solve and record division problems with whole numbers using a two-digit divisor and show any remainders as a fraction.
3LengthCompare length by using informal units of measurement
Objective: On completion of the lesson the student will be able to measure objects around the student’s home and compare their length to each other. The student will also be able to compare the different ways the student measured the same object.
4LengthUsing the metre as a formal unit to measure perimeter
Objective: On completion of the lesson the student will be able to calculate the perimeter of different shapes in metres.
5LengthUsing the formal unit of the centimetre to measure length and perimeter
Objective: On completion of the lesson the student will be able to measure length and perimeter in centimetres.
6LengthRead and calculate distances on a map using the formal unit kilometre
Objective: On completion of the lesson the student will be able to read distances in kilometres and calculate total distances between different locations on a map.
7LengthCompare and convert formal units of measurement
Objective: On completion of the lesson the student will be able to use the formal units millimetre, centimetre, metre and kilometre to measure and convert.
8AreaIntroduction to the square centimetre.
Objective: On completion of the lesson the student will be able to calculate the area in square centimetres of surfaces or objects and record their results correctly.
9AreaIntroducing the rules for finding the area of a rectangle and a parallelogram.
Objective: On completion of the lesson the student will be able to investigate areas of rectangles and parallelograms using a given formula of multiplying measurements of sides.
10AreaFinding the area of a triangle and other composite shapes.
Objective: On completion of the lesson the student will be able calculate areas of triangles and shapes based on triangles, rectangles and parallelograms using given formulas.
11AreaLarger areas: square metre, hectare, square kilometre.
Objective: On completion of the lesson the student will be able to calculate larger areas using the correct square unit.
12VolumeIntroduction to volume. using the cubic centimetre as a standard unit
Objective: On completion of the lesson the student will be able to: recognise the need for a formal unit to measure volume, use the abbreviation for cubic centimetre, construct three dimensional objects using cubic centimetre blocks, and use counting to determine vo
133-D shapesConstructing models.
Objective: On completion of the lesson the student will be able to: Construct rectangular prisms using cubic centimetre blocks and counting to determine volume. Explain the advantages of using a cube to measure volume. Construct different rectangular prisms.
14CapacityUsing the cubic cm and displacement to measure volume and capacity
Objective: On completion of the lesson the student will know a way to find volume and capacity.
15CapacityUsing the cubic cm as a standard unit of measurement for volume and capacity
Objective: On completion of the lesson the student will understand what a cubic centimetre is and how it can be used to find out the volume and capacity of a three dimensional shape.
16CapacityThe relationship between the common units of capacity, the litre and the millilitre
Objective: On completion of the lesson the student will understand the relationship between the two common units of capacity, the litre and millilitre.
17CapacityConverting between volume and capacity using kilolitres and litres
Objective: On completion of the lesson the student will know the formal units of measurement for volume and capacity for bigger objects. The student will also be able to use the knowledge of volume to work out capacity.
18CapacityEstimate, measure and compare the capacity of containers
Objective: On completion of the lesson the student will know why and when we might need to estimate and a way to go about it.
19CapacityConverting between volume and capacity using millilitres and litres
Objective: On completion of the lesson the student will be able to convert between units of capacity.
20Weight/massIntroducing the concept of mass
Objective: On completion of the lesson the student will understand the concepts of mass.
21Weight/massThe kilogram
Objective: On completion of the lesson the student will know: how to use the kilogram as a measure of mass., and how to weigh items accurately using scales.
22Weight/massThe gram and net mass
Objective: On completion of the lesson the student will understand: why there’s a zero button on digital scales, how to zero some other types of scales, and also how to measure mass in grams.
23Weight/massThe tonne – converting units and problems
Objective: On completion of the lesson the student should be able to: choose the correct unit to measure the mass of small, medium or large objects, and convert measurements from one unit to another.
24FractionsUsing fractions 1/2, 1/4, 1/8 to describe part of a whole
Objective: On completion of the lesson the student will be able to: name fractions, and use fractions to describe equal parts of a whole.
25FractionsUsing fractions 1/2, 1/4, 1/8 to describe parts of a group or collection
Objective: On completion of the lesson the student will be able to use the fractions to describe equal parts of a collection of objects.
26FractionsComparing and ordering fractions
Objective: On completion of the lesson the student will be able to compare and order fractions with the same number of equal parts, and compare and order fractions with a different number of equal parts.
27Fractionsmixed numbers (mixed numerals)
Objective: On completion of the lesson the student will be able to: name and recognise mixed numbers (mixed numerals), count by halves and quarters, and use a number line to represent halves and quarters beyond one.
28FractionsImproper fractions
Objective: On completion of the lesson the student will be able to: use diagrams and number lines to recognise and represent mixed numbers and improper fractions, and develop strategies for changing improper fractions to mixed numbers and vice versa, mentally.
29FractionsFractions 1/5, 1/10, 1/100
Objective: On completion of the lesson the student will be able to: compare fractions with the denominators 5, 10, 100, and represent fractions with the denominator 5, 10, 100.
30FractionsFinding equivalent fractions
Objective: On completion of the lesson the student will be able to name and find fractions that represent equal amounts between halves, quarters and eighths – using diagrams and number lines.
31FractionsMultiplying and dividing to obtain equivalent fractions
Objective: On completion of the lesson the student will be able to: obtain equivalent fractions using a number line or diagram, develop mental strategies to obtain equivalent fractions, and reduce a fraction to its lowest equivalent form.
32FractionsReducing fractions to lowest equivalent form
Objective: On completion of the lesson the student will be able to reduce a fraction to its lowest equivalent form by dividing the numerator and denominator by a common factor.
33FractionsComparing and ordering fractions greater than (>) 1
Objective: On completion of the lesson the student will be able to use diagrams, number lines and equivalent fractions to compare and order fractions greater than (>) one.
34FractionsSubtracting fractions from whole numbers
Objective: On completion of the lesson the student will be able to: use a diagram to subtract fractions from a whole number, develop mental strategies for subtracting fractions from whole numbers, and recognise and use the written form for subtracting fractions from
35FractionsAdding and subtracting fractions with the same denominator
Objective: On completion of the lesson the student will be able to add and subtract fractions with the same denominator.
36FractionsAdding and subtracting fractions with different denominators
Objective: On completion of the lesson the student will be able to add and subtract fractions where one denominator is a multiple of the other.
37FractionsMultiplying fractions by whole numbers
Objective: On completion of the lesson the student will be able to multiply simple fractions by whole numbers.
38FractionsFractions of whole numbers
Objective: On completion of the lesson the student will be able to calculate unit fractions of a collection.
39FractionsMultiplying fractions
Objective: On completion of the lesson the student will be able to multiply fractions and reduce the answer to its lowest form.
40FractionsMultiplying mixed numbers (mixed numerals)
Objective: On completion of the lesson the student will be able to multiply mixed numbers (mixed numerals) and reduce the answer to its lowest form.
41FractionsFinding reciprocals of fractions and mixed numbers (mixed numerals)
Objective: On completion of the lesson the student will be able to find the reciprocals of fractions and mixed numbers (mixed numerals).
42FractionsDividing fractions
Objective: On completion of the lesson the student will be able to divide fractions.
43FractionsDividing mixed numbers (mixed numerals)
Objective: On completion of the lesson the student will be able to divide mixed numbers (mixed numerals).
44Rules propertiesUsing Order of Operation procedures (BIDMAS) with Fractions
Objective: On completion of the lesson the student will know how to apply the order of operations rules to simplify expressions with integers and fractions.
45DecimalsIntroduction to decimals
Objective: On completion of the lesson the student will be able to represent decimals to two decimal places.
46DecimalsComparing and ordering decimals to two decimal places
Objective: On completion of the lesson the student will be able to compare and order decimals to two decimal places and understand decimal notation to two places.
47DecimalsDecimals with whole numbers 10th and 100th
Objective: On completion of the lesson the student will be able to use and understand place value to show whole numbers, tenths and hundredths as decimals.
48DecimalsAdding decimals to two decimal places
Objective: On completion of the lesson the student will be able to add decimals with the same number of decimal places (to two decimal places)
49DecimalsSubtracting decimals to two decimal places
Objective: On completion of the lesson the student will be able to subtract decimals with the same number of decimal places (to two decimal places)
50DecimalsUsing decimals – shopping problems
Objective: On completion of the lesson the student will be able to: read and interpret problems involving money, interpret the everyday use of decimals, and perform calculations with money.
51DecimalsUsing decimals to record length
Objective: On completion of the lesson the student will be able to interpret the everyday use of fractions and decimals and use their knowledge of decimals to record measurements.
52DecimalsRounding decimals
Objective: On completion of the lesson the student will be able to round a number with one or two decimal places to the nearest whole number.
53DecimalsDecimals to three decimal places
Objective: On completion of the lesson the student will be able to express thousandths as a decimal and interpret decimal notation for thousandths.
54DecimalsAdding decimals with a different number of decimal places
Objective: On completion of the lesson the student will be able to add decimal numbers with different numbers of decimal places.
55DecimalsSubtracting decimals with a different number of places
Objective: On completion of the lesson the student will be able to subtract decimals with different numbers of decimal places.
56DecimalsMultiplying decimals by 10, 100 and 1000
Objective: On completion of the lesson the student will be able to multiply decimal numbers by one hundred and recognise the pattern formed when decimals are multiplied by ten, one hundred and one thousand.
57DecimalsMultiplying decimals by whole numbers
Objective: On completion of the lesson the student will be able to multiply decimals by whole numbers.
58DecimalsMultiplication of decimals by decimals to two decimal places
Objective: On completion of the lesson the student will be able to multiply decimals to two digits.
59DecimalsDividing decimals by 10, 100 and 1000
Objective: On completion of the lesson the student will be able to divide decimal numbers by one hundred and recognise the pattern formed when decimals are divided by ten, one hundred and one thousand.
60DecimalsDividing decimal fractions by whole numbers
Objective: On completion of the lesson the student will be able to divide decimal fractions by whole numbers.
61DecimalsDividing numbers by a decimal fraction
Objective: On completion of the lesson the student will be able to divide numbers by a decimal fraction.
62PercentagesIntroduction to percentages, including relating common fractions to percentages
Objective: On completion of the lesson the student will be able to recognise that the symbol % means ‘per cent’ and relate common fractions to a percentage.
63PercentagesChanging fractions and decimals to percentages using tenths and hundredths
Objective: On completion of the lesson the student will be able to change simple fractions to percentages and decimals to percentages by using place value conversion.
64PercentagesChanging percentages to fractions and decimals
Objective: On completion of the lesson the student will be able to change percentages to fractions and know how to change percentages to decimals.
65PercentagesOne quantity as a percentage of another
Objective: On completion of the lesson the student will be able to find a percentage of an amount and how to express one quantity as a percentage of another.
66PercentagesCalculating Percentages and Fractions of Quantities
Objective: To find percentages and fractions of quantities and solve problems with percentages
67Time, monthsMonths and seasons of the year
Objective: On completion of the lesson the student will be able to: name and order the months of the year, know the number of days in each month, name the seasons in order, and know the number of months in each season.
68Time, days of weekDays of the week
Objective: On completion of the lesson the student will be able to: name the days of the week in order, recognise them in a written form, be able to answer questions about the days of the week, and have an understanding of a diary.
69Time, durationDuration
Objective: On completion of the lesson the student will be able to estimate and measure the duration of an event using informal units, and compare and order the duration of an event using informal units.
70Time, minutesAnalogue – Telling time – minutes in the hour
Objective: On completion of the lesson the student will be able to recognize the coordinated movements of the hands on an analogue clock.
71Time, unitsUnits of time
Objective: On completion of the lesson the student will be able to convert units of time and read and interpret simple timetables, timelines and calendars.
72Time, a.m. p.m.AM and PM time
Objective: On completion of the lesson the student will be able to talk about am and pm time and use the correct notation for am and pm time.
73Time, quarter to, pastQuarter past and quarter to
Objective: On completion of the lesson the student will be able to associate the numerals 3, 6 and 9 with 15, 30 and 45 minutes, and use the terms ‘quarter to’ and ‘quarter past’.
74Time, minutes past the hourMinutes past
Objective: On completion of the lesson the student will be able to understand and read the minutes past the hour on an analogue clock.
75Time, minutes to the hourMinutes to
Objective: On completion of the lesson the student will be able to understand and read the minutes to the hour on an analogue clock.
76Time, digital, analogueComparing analogue and digital time
Objective: On completion of the lesson the student will be able to: read analogue and digital clocks to the minute, be familiar with the recording of digital time, and tell the same time using both analogue and digital clocks.
77Time, digitalO’clock and half past using digital time
Objective: On completion of the lesson the student will be able to use the terms ‘o’clock’ and ‘half past’, and read hour and half-hour time on a digital clock.
78Time, analogueO’clock and half past on the analogue clock
Objective: On completion of the lesson the student will be able to use the terms ‘o’clock’ and ‘half past’, and read hour and half-hour time on an analogue clock.
79Time, 24-hour24 hour time
Objective: On completion of the lesson the student will be able to: tell the time accurately using twenty-four hour time, change the time from am and pm time to twenty-four hour time, and change the time from twenty-four hour time to am and pm time.
80Time zonesTime zones
Objective: On completion of the lesson the student will be able to: recognise that there are different time zones, compare time zones, understand daylight saving and adjust times accordingly, and determine the local time in different regions.
81Time, distance, speedAverage speed
Objective: On completion of the lesson the student will be able to understand what is meant by the speed of an object, read the instantaneous speed of a vehicle on a speedometer and find the average speed of an object.
822-D shapesUsing the prefix to determine polygons
Objective: On completion of the lesson the student will be able to recognise and name two-dimensional shapes such as pentagons and hexagons, using the prefix of the shapes name to determine number of angles and sides.
832-D shapesSpatial properties of quadrilaterals
Objective: On completion of the lesson the student will know how to analyse and explain the spatial properties of quadrilaterals.
84AnglesMeasure and classify angles
Objective: On completion of the lesson the student will be able to recognise, measure and classify angles and measure the angles in a triangle.
852-D shapesRecognise and name triangles
Objective: On completion of the lesson the student will be able to recognise and correctly name triangles according to their properties.
86Tessellating 2-D shapesUse grids to enlarge/reduce 2D shapes
Objective: On completion of the lesson the student will be able to use grids to enlarge or reduce two dimensional shapes and also to recognise shapes that will and won’t tessellate.
873-D shapesRecognise and name prisms according to spatial properties
Objective: On completion of the lesson the student will be able to recognise and name various prisms according to their spatial properties.
883-D shapesRecognise and name pyramids according to spatial properties
Objective: On completion of the lesson the student will be able to recognise, describe and name pyramids according to their spatial properties.
89DataPictograms
Objective: On completion of the lesson the student will be able to organise, read and summarise information in picture graphs.
90DataBar Charts
Objective: On completion of the lesson the student will be able to organise, read and summarise information in column graphs.
91DataLine graphs.
Objective: On completion of the lesson the student will be able to organise, read and summarise information in line graphs.
92DataPie and bar graphs.
Objective: On completion of the lesson the student will be able to organise, read and summarise information in pie and bar graphs.
93MultiplicationMultiplying 2-digit numbers by multiple of 10
Objective: On completion of the lesson the student will be able to multiply any 2 digit number by any multiple of 10 using the process of long multiplication.
94MultiplicationMultiplying 3 and 4-digit numbers by multiples of 100
Objective: On completion of the lesson the student will be able to multiply any 3 or 4 digit numbers by any multiple of 100 using long multiplication.
95MultiplicationMultiplying 2-digit numbers by 2-digit numbers
Objective: On completion of the lesson the student will be able to multiply any 2 digit number by any other 2 digit number.
96MultiplicationMultiplying 4-digit numbers by 3-digit numbers
Objective: On completion of the lesson the student will be able to multiply any 4 digit numbers by any 3 digit numbers using long multiplication.
97MultiplicationMultiplying 4-digit numbers by 4-digit number
Objective: On completion of the lesson the student will be able to be able to multiply any 4 digit number by any other 4 digit number using long multiplication.
98Division/repeat subtractionRepeated subtraction with divisors less than 20 with no remainders
Objective: On completion of the lesson the student will be able to use long division by repeated subtraction with divisors less than 20.
99Division/repeat subtractionRepeated subtraction by multiples of 10 with divisors less than 20 with no remainders
Objective: On completion of the lesson the student will be able to use long division with repeated subtraction by multiples of 10 with divisors less than 20 and no remainders.
100Division/repeat subtractionRepeated subtraction by multiples of 2, 3 and 4 with divisors greater than 20 with no remainders
Objective: On completion of the lesson the student will be able to use long division with repeated subtraction by multiples of 2,3,4 where divisors are greater than 20 and there are no remainders.
101Division/repeat subtractionRepeated subtraction by multiples of 1,2 and 3 with divisors less than 20 with remainders
Objective: On completion of the lesson the student will be able to use long division with repeated subtraction by multiples of 1,2,3 where the divisors are less than 20 and there are remainders.
102Division/repeat subtractionRepeated subtraction by multiples of 10 with divisors less than 20 with remainders
Objective: On completion of the lesson the student will be able to use long division with repeated subtraction by multiples of 10 where the divisors are greater than 12 and less than 20, and the dividend is any 3 digit number, and there are remainders.
103Division/repeat subtractionRepeated subtraction with divisors greater than 20 with remainders as fractions
Objective: On completion of the lesson the student will be able to use long division by repeated subtraction with divisors greater than 20 and remainders expressed as fractions
104Division/repeat subtractionRepeated subtraction with divisors less than 35 with some remainders
Objective: On completion of the lesson the student will be able to use long division by repeated subtraction with divisors less than 35, with some remainders.
105Division/repeat subtractionRepeated subtraction with divisors less than 55 with dividends of 3 and 4-digits with some remainders
Objective: On completion of the lesson the student will be able to use long division by repeated subtraction with divisors less than 55 and where dividends are 3 and 4 digit numbers, and there are some remainders.
106Division/repeat subtractionRepeated subtraction with divisors greater than 50 with dividends of thousands and some remainders
Objective: On completion of the lesson the student will able to use Long Division by repeated subtraction with divisors greater than 50 including division of thousands, and some remainders.
107Division/repeat subtractionUsing divide, multiply and subtraction in the bring down method
Objective: On completion of the lesson the student will be able to use Long Division using the Divide, Multiply, Subtract and Bring Down method.
108Sign word problemsSolving Word Problems by recognising Sign Words
Objective: On completion of the lesson the student will be able to solve problems by recognising Sign Words that identify which operation to use: addition, subtraction, multiplication or division.
109EquationsProblem solving strategies
Objective: On completion of the lesson the student will be able to recall the steps in a strategy for solving word problems.
110Number problemsProblems with numbers.
Objective: On completion of the lesson the student will be able to solve problems with numbers using a problem solving strategy.
111MoneyProblems involving money
Objective: On completion of the lesson the student will be able to solve problems with money.
112LengthProblems with length.
Objective: On completion of the lesson the student will be able to solve problems with length.
113MassProblems with mass.
Objective: On completion of the lesson the student will be able to solve problems with mass.
114AreaProblems with area.
Objective: On completion of the lesson the student will be able to solve problems with area.
115Volume/capacityProblems with volume/capacity.
Objective: Problem Solving: problems involving volume/capacity
116ExamExam – Primary 5 (P5)
Objective: Exam
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Primary 6 (P6) Mathematics

#TOPICTITLE
1Study PlanStudy plan – Primary 6 (P6)
Objective: On completion of the course formative assessment a tailored study plan is created identifying the lessons requiring revision.
2VolumeIntroduction to volume. using the cubic centimetre as a standard unit
Objective: On completion of the lesson the student will be able to: recognise the need for a formal unit to measure volume, use the abbreviation for cubic centimetre, construct three dimensional objects using cubic centimetre blocks, and use counting to determine vo
33-D shapesConstructing models.
Objective: On completion of the lesson the student will be able to: Construct rectangular prisms using cubic centimetre blocks and counting to determine volume. Explain the advantages of using a cube to measure volume. Construct different rectangular prisms.
4VolumeUsing the cubic centimetre to measure volume.
Objective: On completion of the lesson the student will be able to: recognise the relationship between the length, breadth, height and volume of a rectangular prism, calculate the volume of rectangular prisms, and find the volume of rectangular prisms by counting.
5VolumeIntroducing the formula for volume.
Objective: On completion of the lesson the student will be able to: derive the formula for the volume of prisms, and calculate the area of prisms using the volume formula.
6VolumeUsing the cubic metre to measure volume.
Objective: On completion of the lesson the student will be able to: recognise the need for a unit larger than the cubic centimetre, use the cubic metre as a formal unit for measuring large volumes, and explain why volume is measured in cubic metres in certain situat
7VolumeSolving Problems about Volume – Part 1.
Objective: On completion of the lesson the student will be able to apply strategies to solve problems using rectangular prisms.
8VolumeSolving Problems about Volume – Part 2.
Objective: On completion of the lesson the student will be able to apply strategies to solve problems using rectangular prisms and larger unit.
9Weight/massIntroducing the concept of mass
Objective: On completion of the lesson the student will understand the concepts of mass.
10Weight/massThe kilogram
Objective: On completion of the lesson the student will know: how to use the kilogram as a measure of mass., and how to weigh items accurately using scales.
11Weight/massThe gram and net mass
Objective: On completion of the lesson the student will understand: why there’s a zero button on digital scales, how to zero some other types of scales, and also how to measure mass in grams.
12Weight/massThe tonne – converting units and problems
Objective: On completion of the lesson the student should be able to: choose the correct unit to measure the mass of small, medium or large objects, and convert measurements from one unit to another.
13AreaComparing and ordering areas.
Objective: On completion of the lesson the student will be able to estimate and compare the area of shapes using a standard unit and order shapes according to their area.
14AreaArea of a trapezium.
Objective: On completion of the lesson the student will be able calculate the area of all types of different shaped trapeziums using a given formula.
15AreaArea of a rhombus.
Objective: On completion of the lesson the student will be able to: identify a rhombus, learn how to find the formula for the area of a rhombus, and use it in solving problems.
16AreaArea of a circle.
Objective: On completion of the lesson the student will be able calculate the area of a circle, and also calculate the radius and diameter of a circle.
17AreaArea of regular polygons and composite figures.
Objective: On completion of the lesson the student will be able calculate the area of a number of different shapes by applying the appropriate formula.
18FractionsUsing fractions 1/2, 1/4, 1/8 to describe part of a whole
Objective: On completion of the lesson the student will be able to: name fractions, and use fractions to describe equal parts of a whole.
19FractionsUsing fractions 1/2, 1/4, 1/8 to describe parts of a group or collection
Objective: On completion of the lesson the student will be able to use the fractions to describe equal parts of a collection of objects.
20FractionsComparing and ordering fractions
Objective: On completion of the lesson the student will be able to compare and order fractions with the same number of equal parts, and compare and order fractions with a different number of equal parts.
21Fractionsmixed numbers (mixed numerals)
Objective: On completion of the lesson the student will be able to: name and recognise mixed numbers (mixed numerals), count by halves and quarters, and use a number line to represent halves and quarters beyond one.
22FractionsImproper fractions
Objective: On completion of the lesson the student will be able to: use diagrams and number lines to recognise and represent mixed numbers and improper fractions, and develop strategies for changing improper fractions to mixed numbers and vice versa, mentally.
23FractionsFractions 1/5, 1/10, 1/100
Objective: On completion of the lesson the student will be able to: compare fractions with the denominators 5, 10, 100, and represent fractions with the denominator 5, 10, 100.
24FractionsFinding equivalent fractions
Objective: On completion of the lesson the student will be able to name and find fractions that represent equal amounts between halves, quarters and eighths – using diagrams and number lines.
25FractionsMultiplying and dividing to obtain equivalent fractions
Objective: On completion of the lesson the student will be able to: obtain equivalent fractions using a number line or diagram, develop mental strategies to obtain equivalent fractions, and reduce a fraction to its lowest equivalent form.
26FractionsReducing fractions to lowest equivalent form
Objective: On completion of the lesson the student will be able to reduce a fraction to its lowest equivalent form by dividing the numerator and denominator by a common factor.
27FractionsComparing and ordering fractions greater than (>) 1
Objective: On completion of the lesson the student will be able to use diagrams, number lines and equivalent fractions to compare and order fractions greater than (>) one.
28FractionsSubtracting fractions from whole numbers
Objective: On completion of the lesson the student will be able to: use a diagram to subtract fractions from a whole number, develop mental strategies for subtracting fractions from whole numbers, and recognise and use the written form for subtracting fractions from
29FractionsAdding and subtracting fractions with the same denominator
Objective: On completion of the lesson the student will be able to add and subtract fractions with the same denominator.
30FractionsAdding and subtracting fractions with different denominators
Objective: On completion of the lesson the student will be able to add and subtract fractions where one denominator is a multiple of the other.
31FractionsMultiplying fractions by whole numbers
Objective: On completion of the lesson the student will be able to multiply simple fractions by whole numbers.
32FractionsFractions of whole numbers
Objective: On completion of the lesson the student will be able to calculate unit fractions of a collection.
33FractionsMultiplying fractions
Objective: On completion of the lesson the student will be able to multiply fractions and reduce the answer to its lowest form.
34FractionsMultiplying mixed numbers (mixed numerals)
Objective: On completion of the lesson the student will be able to multiply mixed numbers (mixed numerals) and reduce the answer to its lowest form.
35FractionsFinding reciprocals of fractions and mixed numbers (mixed numerals)
Objective: On completion of the lesson the student will be able to find the reciprocals of fractions and mixed numbers (mixed numerals).
36FractionsDividing fractions
Objective: On completion of the lesson the student will be able to divide fractions.
37FractionsDividing mixed numbers (mixed numerals)
Objective: On completion of the lesson the student will be able to divide mixed numbers (mixed numerals).
38Rules propertiesUsing Order of Operation procedures (BIDMAS) with Fractions
Objective: On completion of the lesson the student will know how to apply the order of operations rules to simplify expressions with integers and fractions.
39DecimalsIntroduction to decimals
Objective: On completion of the lesson the student will be able to represent decimals to two decimal places.
40DecimalsComparing and ordering decimals to two decimal places
Objective: On completion of the lesson the student will be able to compare and order decimals to two decimal places and understand decimal notation to two places.
41DecimalsDecimals with whole numbers 10th and 100th
Objective: On completion of the lesson the student will be able to use and understand place value to show whole numbers, tenths and hundredths as decimals.
42DecimalsAdding decimals to two decimal places
Objective: On completion of the lesson the student will be able to add decimals with the same number of decimal places (to two decimal places)
43DecimalsSubtracting decimals to two decimal places
Objective: On completion of the lesson the student will be able to subtract decimals with the same number of decimal places (to two decimal places)
44DecimalsUsing decimals – shopping problems
Objective: On completion of the lesson the student will be able to: read and interpret problems involving money, interpret the everyday use of decimals, and perform calculations with money.
45DecimalsUsing decimals to record length
Objective: On completion of the lesson the student will be able to interpret the everyday use of fractions and decimals and use their knowledge of decimals to record measurements.
46DecimalsRounding decimals
Objective: On completion of the lesson the student will be able to round a number with one or two decimal places to the nearest whole number.
47DecimalsDecimals to three decimal places
Objective: On completion of the lesson the student will be able to express thousandths as a decimal and interpret decimal notation for thousandths.
48DecimalsAdding decimals with a different number of decimal places
Objective: On completion of the lesson the student will be able to add decimal numbers with different numbers of decimal places.
49DecimalsSubtracting decimals with a different number of places
Objective: On completion of the lesson the student will be able to subtract decimals with different numbers of decimal places.
50DecimalsMultiplying decimals by 10, 100 and 1000
Objective: On completion of the lesson the student will be able to multiply decimal numbers by one hundred and recognise the pattern formed when decimals are multiplied by ten, one hundred and one thousand.
51DecimalsMultiplying decimals by whole numbers
Objective: On completion of the lesson the student will be able to multiply decimals by whole numbers.
52DecimalsMultiplication of decimals by decimals to two decimal places
Objective: On completion of the lesson the student will be able to multiply decimals to two digits.
53DecimalsDividing decimals by 10, 100 and 1000
Objective: On completion of the lesson the student will be able to divide decimal numbers by one hundred and recognise the pattern formed when decimals are divided by ten, one hundred and one thousand.
54DecimalsDividing decimal fractions by whole numbers
Objective: On completion of the lesson the student will be able to divide decimal fractions by whole numbers.
55DecimalsDividing numbers by a decimal fraction
Objective: On completion of the lesson the student will be able to divide numbers by a decimal fraction.
56PercentagesIntroduction to percentages, including relating common fractions to percentages
Objective: On completion of the lesson the student will be able to recognise that the symbol % means ‘per cent’ and relate common fractions to a percentage.
57PercentagesChanging fractions and decimals to percentages using tenths and hundredths
Objective: On completion of the lesson the student will be able to change simple fractions to percentages and decimals to percentages by using place value conversion.
58PercentagesChanging percentages to fractions and decimals
Objective: On completion of the lesson the student will be able to change percentages to fractions and know how to change percentages to decimals.
59PercentagesOne quantity as a percentage of another
Objective: On completion of the lesson the student will be able to find a percentage of an amount and how to express one quantity as a percentage of another.
60PercentagesCalculating Percentages and Fractions of Quantities
Objective: To find percentages and fractions of quantities and solve problems with percentages
612-D shapesSpatial properties of quadrilaterals
Objective: On completion of the lesson the student will know how to analyse and explain the spatial properties of quadrilaterals.
62AnglesMeasure and classify angles
Objective: On completion of the lesson the student will be able to recognise, measure and classify angles and measure the angles in a triangle.
632-D shapesRecognise and name triangles
Objective: On completion of the lesson the student will be able to recognise and correctly name triangles according to their properties.
64Tessellating 2-D shapesUse grids to enlarge/reduce 2D shapes
Objective: On completion of the lesson the student will be able to use grids to enlarge or reduce two dimensional shapes and also to recognise shapes that will and won’t tessellate.
653-D shapesRecognise and name prisms according to spatial properties
Objective: On completion of the lesson the student will be able to recognise and name various prisms according to their spatial properties.
663-D shapesRecognise and name pyramids according to spatial properties
Objective: On completion of the lesson the student will be able to recognise, describe and name pyramids according to their spatial properties.
673-D shapesRecognise nets for prisms, pyramids, cubes and cones
Objective: On completion of the lesson the student will be able to predict and recognise nets for prisms, pyramids, cubes and cones.
683-D shapesViewing 3-D shapes.
Objective: On completion of the lesson the student will be able to use conventional representations of three-dimensional shapes to show depth etc when drawing or viewing shapes from various angles.
69DataPictograms
Objective: On completion of the lesson the student will be able to organise, read and summarise information in picture graphs.
70DataBar Charts
Objective: On completion of the lesson the student will be able to organise, read and summarise information in column graphs.
71DataLine graphs.
Objective: On completion of the lesson the student will be able to organise, read and summarise information in line graphs.
72DataPie and bar graphs.
Objective: On completion of the lesson the student will be able to organise, read and summarise information in pie and bar graphs.
73MultiplicationMultiplying 2-digit numbers by multiple of 10
Objective: On completion of the lesson the student will be able to multiply any 2 digit number by any multiple of 10 using the process of long multiplication.
74MultiplicationMultiplying 3 and 4-digit numbers by multiples of 100
Objective: On completion of the lesson the student will be able to multiply any 3 or 4 digit numbers by any multiple of 100 using long multiplication.
75MultiplicationMultiplying 2-digit numbers by 2-digit numbers
Objective: On completion of the lesson the student will be able to multiply any 2 digit number by any other 2 digit number.
76MultiplicationMultiplying 4-digit numbers by 3-digit numbers
Objective: On completion of the lesson the student will be able to multiply any 4 digit numbers by any 3 digit numbers using long multiplication.
77MultiplicationMultiplying 4-digit numbers by 4-digit number
Objective: On completion of the lesson the student will be able to be able to multiply any 4 digit number by any other 4 digit number using long multiplication.
78Division/repeat subtractionRepeated subtraction with divisors less than 20 with no remainders
Objective: On completion of the lesson the student will be able to use long division by repeated subtraction with divisors less than 20.
79Division/repeat subtractionRepeated subtraction by multiples of 10 with divisors less than 20 with no remainders
Objective: On completion of the lesson the student will be able to use long division with repeated subtraction by multiples of 10 with divisors less than 20 and no remainders.
80Division/repeat subtractionRepeated subtraction by multiples of 2, 3 and 4 with divisors greater than 20 with no remainders
Objective: On completion of the lesson the student will be able to use long division with repeated subtraction by multiples of 2,3,4 where divisors are greater than 20 and there are no remainders.
81Division/repeat subtractionRepeated subtraction by multiples of 1,2 and 3 with divisors less than 20 with remainders
Objective: On completion of the lesson the student will be able to use long division with repeated subtraction by multiples of 1,2,3 where the divisors are less than 20 and there are remainders.
82Division/repeat subtractionRepeated subtraction by multiples of 10 with divisors less than 20 with remainders
Objective: On completion of the lesson the student will be able to use long division with repeated subtraction by multiples of 10 where the divisors are greater than 12 and less than 20, and the dividend is any 3 digit number, and there are remainders.
83Division/repeat subtractionRepeated subtraction with divisors greater than 20 with remainders as fractions
Objective: On completion of the lesson the student will be able to use long division by repeated subtraction with divisors greater than 20 and remainders expressed as fractions
84Division/repeat subtractionRepeated subtraction with divisors less than 35 with some remainders
Objective: On completion of the lesson the student will be able to use long division by repeated subtraction with divisors less than 35, with some remainders.
85Division/repeat subtractionRepeated subtraction with divisors less than 55 with dividends of 3 and 4-digits with some remainders
Objective: On completion of the lesson the student will be able to use long division by repeated subtraction with divisors less than 55 and where dividends are 3 and 4 digit numbers, and there are some remainders.
86Division/repeat subtractionRepeated subtraction with divisors greater than 50 with dividends of thousands and some remainders
Objective: On completion of the lesson the student will able to use Long Division by repeated subtraction with divisors greater than 50 including division of thousands, and some remainders.
87Division/repeat subtractionUsing divide, multiply and subtraction in the bring down method
Objective: On completion of the lesson the student will be able to use Long Division using the Divide, Multiply, Subtract and Bring Down method.
88Sign word problemsSolving Word Problems by recognising Sign Words
Objective: On completion of the lesson the student will be able to solve problems by recognising Sign Words that identify which operation to use: addition, subtraction, multiplication or division.
89EquationsProblem solving strategies
Objective: On completion of the lesson the student will be able to recall the steps in a strategy for solving word problems.
90Number problemsProblems with numbers.
Objective: On completion of the lesson the student will be able to solve problems with numbers using a problem solving strategy.
91MoneyProblems involving money
Objective: On completion of the lesson the student will be able to solve problems with money.
92LengthProblems with length.
Objective: On completion of the lesson the student will be able to solve problems with length.
93MassProblems with mass.
Objective: On completion of the lesson the student will be able to solve problems with mass.
94AreaProblems with area.
Objective: On completion of the lesson the student will be able to solve problems with area.
95Volume/capacityProblems with volume/capacity.
Objective: Problem Solving: problems involving volume/capacity
96ExamExam – Primary 6 (P6)
Objective: Exam
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Primary 7 (P7) Mathematics

#TOPICTITLE
1Study PlanStudy plan – Primary 7 (P7)
Objective: On completion of the course formative assessment a tailored study plan is created identifying the lessons requiring revision.
2VolumeIntroduction to volume. using the cubic centimetre as a standard unit
Objective: On completion of the lesson the student will be able to: recognise the need for a formal unit to measure volume, use the abbreviation for cubic centimetre, construct three dimensional objects using cubic centimetre blocks, and use counting to determine vo
33-D shapesConstructing models.
Objective: On completion of the lesson the student will be able to: Construct rectangular prisms using cubic centimetre blocks and counting to determine volume. Explain the advantages of using a cube to measure volume. Construct different rectangular prisms.
4VolumeUsing the cubic centimetre to measure volume.
Objective: On completion of the lesson the student will be able to: recognise the relationship between the length, breadth, height and volume of a rectangular prism, calculate the volume of rectangular prisms, and find the volume of rectangular prisms by counting.
5VolumeIntroducing the formula for volume.
Objective: On completion of the lesson the student will be able to: derive the formula for the volume of prisms, and calculate the area of prisms using the volume formula.
6VolumeUsing the cubic metre to measure volume.
Objective: On completion of the lesson the student will be able to: recognise the need for a unit larger than the cubic centimetre, use the cubic metre as a formal unit for measuring large volumes, and explain why volume is measured in cubic metres in certain situat
7VolumeSolving Problems about Volume – Part 1.
Objective: On completion of the lesson the student will be able to apply strategies to solve problems using rectangular prisms.
8VolumeSolving Problems about Volume – Part 2.
Objective: On completion of the lesson the student will be able to apply strategies to solve problems using rectangular prisms and larger unit.
9AreaComparing and ordering areas.
Objective: On completion of the lesson the student will be able to estimate and compare the area of shapes using a standard unit and order shapes according to their area.
10AreaArea of a trapezium.
Objective: On completion of the lesson the student will be able calculate the area of all types of different shaped trapeziums using a given formula.
11AreaArea of a rhombus.
Objective: On completion of the lesson the student will be able to: identify a rhombus, learn how to find the formula for the area of a rhombus, and use it in solving problems.
12AreaArea of a circle.
Objective: On completion of the lesson the student will be able calculate the area of a circle, and also calculate the radius and diameter of a circle.
13AreaArea of regular polygons and composite figures.
Objective: On completion of the lesson the student will be able calculate the area of a number of different shapes by applying the appropriate formula.
14VolumeFinding the volume of prisms
Objective: On completion of the lesson the student will be able to: use formulae to find the volume of prisms, calculate the volume of a variety of prisms, and explain the relationship between units of length and units of volume.
15VolumeVolume of a cylinder and sphere.
Objective: On completion of the lesson the student will be able to: calculate the volume of cylinders, spheres and hemispheres using the appropriate formulae, and use the relationship between litres and other measures of volume.
16VolumeVolume of pyramids and cones.
Objective: On completion of the lesson the student will be able to: use formulae to find the volume of right pyramids and cones, and calculate the volume of a variety of pyramids and cones.
17VolumeComposite solids.
Objective: On completion of the lesson the student will be able to: dissect composite solids into simpler shapes so that the volume can be calculated, calculate the volume of a variety of composite solids, and use formulae appropriately.
18FractionsUsing fractions 1/2, 1/4, 1/8 to describe part of a whole
Objective: On completion of the lesson the student will be able to: name fractions, and use fractions to describe equal parts of a whole.
19FractionsUsing fractions 1/2, 1/4, 1/8 to describe parts of a group or collection
Objective: On completion of the lesson the student will be able to use the fractions to describe equal parts of a collection of objects.
20FractionsComparing and ordering fractions
Objective: On completion of the lesson the student will be able to compare and order fractions with the same number of equal parts, and compare and order fractions with a different number of equal parts.
21Fractionsmixed numbers (mixed numerals)
Objective: On completion of the lesson the student will be able to: name and recognise mixed numbers (mixed numerals), count by halves and quarters, and use a number line to represent halves and quarters beyond one.
22FractionsImproper fractions
Objective: On completion of the lesson the student will be able to: use diagrams and number lines to recognise and represent mixed numbers and improper fractions, and develop strategies for changing improper fractions to mixed numbers and vice versa, mentally.
23FractionsFractions 1/5, 1/10, 1/100
Objective: On completion of the lesson the student will be able to: compare fractions with the denominators 5, 10, 100, and represent fractions with the denominator 5, 10, 100.
24FractionsFinding equivalent fractions
Objective: On completion of the lesson the student will be able to name and find fractions that represent equal amounts between halves, quarters and eighths – using diagrams and number lines.
25FractionsMultiplying and dividing to obtain equivalent fractions
Objective: On completion of the lesson the student will be able to: obtain equivalent fractions using a number line or diagram, develop mental strategies to obtain equivalent fractions, and reduce a fraction to its lowest equivalent form.
26FractionsReducing fractions to lowest equivalent form
Objective: On completion of the lesson the student will be able to reduce a fraction to its lowest equivalent form by dividing the numerator and denominator by a common factor.
27FractionsComparing and ordering fractions greater than (>) 1
Objective: On completion of the lesson the student will be able to use diagrams, number lines and equivalent fractions to compare and order fractions greater than (>) one.
28FractionsSubtracting fractions from whole numbers
Objective: On completion of the lesson the student will be able to: use a diagram to subtract fractions from a whole number, develop mental strategies for subtracting fractions from whole numbers, and recognise and use the written form for subtracting fractions from
29FractionsAdding and subtracting fractions with the same denominator
Objective: On completion of the lesson the student will be able to add and subtract fractions with the same denominator.
30FractionsAdding and subtracting fractions with different denominators
Objective: On completion of the lesson the student will be able to add and subtract fractions where one denominator is a multiple of the other.
31FractionsMultiplying fractions by whole numbers
Objective: On completion of the lesson the student will be able to multiply simple fractions by whole numbers.
32FractionsFractions of whole numbers
Objective: On completion of the lesson the student will be able to calculate unit fractions of a collection.
33FractionsMultiplying fractions
Objective: On completion of the lesson the student will be able to multiply fractions and reduce the answer to its lowest form.
34FractionsMultiplying mixed numbers (mixed numerals)
Objective: On completion of the lesson the student will be able to multiply mixed numbers (mixed numerals) and reduce the answer to its lowest form.
35FractionsFinding reciprocals of fractions and mixed numbers (mixed numerals)
Objective: On completion of the lesson the student will be able to find the reciprocals of fractions and mixed numbers (mixed numerals).
36FractionsDividing fractions
Objective: On completion of the lesson the student will be able to divide fractions.
37FractionsDividing mixed numbers (mixed numerals)
Objective: On completion of the lesson the student will be able to divide mixed numbers (mixed numerals).
38Rules propertiesUsing Order of Operation procedures (BIDMAS) with Fractions
Objective: On completion of the lesson the student will know how to apply the order of operations rules to simplify expressions with integers and fractions.
39DecimalsIntroduction to decimals
Objective: On completion of the lesson the student will be able to represent decimals to two decimal places.
40DecimalsComparing and ordering decimals to two decimal places
Objective: On completion of the lesson the student will be able to compare and order decimals to two decimal places and understand decimal notation to two places.
41DecimalsDecimals with whole numbers 10th and 100th
Objective: On completion of the lesson the student will be able to use and understand place value to show whole numbers, tenths and hundredths as decimals.
42DecimalsAdding decimals to two decimal places
Objective: On completion of the lesson the student will be able to add decimals with the same number of decimal places (to two decimal places)
43DecimalsSubtracting decimals to two decimal places
Objective: On completion of the lesson the student will be able to subtract decimals with the same number of decimal places (to two decimal places)
44DecimalsUsing decimals – shopping problems
Objective: On completion of the lesson the student will be able to: read and interpret problems involving money, interpret the everyday use of decimals, and perform calculations with money.
45DecimalsUsing decimals to record length
Objective: On completion of the lesson the student will be able to interpret the everyday use of fractions and decimals and use their knowledge of decimals to record measurements.
46DecimalsRounding decimals
Objective: On completion of the lesson the student will be able to round a number with one or two decimal places to the nearest whole number.
47DecimalsDecimals to three decimal places
Objective: On completion of the lesson the student will be able to express thousandths as a decimal and interpret decimal notation for thousandths.
48DecimalsAdding decimals with a different number of decimal places
Objective: On completion of the lesson the student will be able to add decimal numbers with different numbers of decimal places.
49DecimalsSubtracting decimals with a different number of places
Objective: On completion of the lesson the student will be able to subtract decimals with different numbers of decimal places.
50DecimalsMultiplying decimals by 10, 100 and 1000
Objective: On completion of the lesson the student will be able to multiply decimal numbers by one hundred and recognise the pattern formed when decimals are multiplied by ten, one hundred and one thousand.
51DecimalsMultiplying decimals by whole numbers
Objective: On completion of the lesson the student will be able to multiply decimals by whole numbers.
52DecimalsMultiplication of decimals by decimals to two decimal places
Objective: On completion of the lesson the student will be able to multiply decimals to two digits.
53DecimalsDividing decimals by 10, 100 and 1000
Objective: On completion of the lesson the student will be able to divide decimal numbers by one hundred and recognise the pattern formed when decimals are divided by ten, one hundred and one thousand.
54DecimalsDividing decimal fractions by whole numbers
Objective: On completion of the lesson the student will be able to divide decimal fractions by whole numbers.
55DecimalsDividing numbers by a decimal fraction
Objective: On completion of the lesson the student will be able to divide numbers by a decimal fraction.
56PercentagesIntroduction to percentages, including relating common fractions to percentages
Objective: On completion of the lesson the student will be able to recognise that the symbol % means ‘per cent’ and relate common fractions to a percentage.
57PercentagesChanging fractions and decimals to percentages using tenths and hundredths
Objective: On completion of the lesson the student will be able to change simple fractions to percentages and decimals to percentages by using place value conversion.
58PercentagesChanging percentages to fractions and decimals
Objective: On completion of the lesson the student will be able to change percentages to fractions and know how to change percentages to decimals.
59PercentagesOne quantity as a percentage of another
Objective: On completion of the lesson the student will be able to find a percentage of an amount and how to express one quantity as a percentage of another.
60PercentagesCalculating Percentages and Fractions of Quantities
Objective: To find percentages and fractions of quantities and solve problems with percentages
61Time, distance, speedAverage speed
Objective: On completion of the lesson the student will be able to understand what is meant by the speed of an object, read the instantaneous speed of a vehicle on a speedometer and find the average speed of an object.
622-D shapesUsing the prefix to determine polygons
Objective: On completion of the lesson the student will be able to recognise and name two-dimensional shapes such as pentagons and hexagons, using the prefix of the shapes name to determine number of angles and sides.
632-D shapesSpatial properties of quadrilaterals
Objective: On completion of the lesson the student will know how to analyse and explain the spatial properties of quadrilaterals.
64AnglesMeasure and classify angles
Objective: On completion of the lesson the student will be able to recognise, measure and classify angles and measure the angles in a triangle.
652-D shapesRecognise and name triangles
Objective: On completion of the lesson the student will be able to recognise and correctly name triangles according to their properties.
66Tessellating 2-D shapesUse grids to enlarge/reduce 2D shapes
Objective: On completion of the lesson the student will be able to use grids to enlarge or reduce two dimensional shapes and also to recognise shapes that will and won’t tessellate.
673-D shapesRecognise and name prisms according to spatial properties
Objective: On completion of the lesson the student will be able to recognise and name various prisms according to their spatial properties.
683-D shapesRecognise and name pyramids according to spatial properties
Objective: On completion of the lesson the student will be able to recognise, describe and name pyramids according to their spatial properties.
693-D shapesRecognise nets for prisms, pyramids, cubes and cones
Objective: On completion of the lesson the student will be able to predict and recognise nets for prisms, pyramids, cubes and cones.
703-D shapesViewing 3-D shapes.
Objective: On completion of the lesson the student will be able to use conventional representations of three-dimensional shapes to show depth etc when drawing or viewing shapes from various angles.
71Lines and anglesDescribing position.
Objective: On completion of the lesson the student will be able to use and understand conventional location language to describe position.
72Lines and anglesMapping and grid references
Objective: On completion of the lesson the student will be able to identify specific places on a map and use regions on a grid to locate objects or places.
73Lines and anglesMain and intermediate compass points
Objective: On completion of the lesson the student will be able to use main and intermediate compass points to specify location.
74Lines and anglesInformal coordinate system
Objective: On completion of the lesson the student will be able to use an informal coordinate system to specify location, and locate coordinate points on grid paper.
75DataPictograms
Objective: On completion of the lesson the student will be able to organise, read and summarise information in picture graphs.
76DataBar Charts
Objective: On completion of the lesson the student will be able to organise, read and summarise information in column graphs.
77DataLine graphs.
Objective: On completion of the lesson the student will be able to organise, read and summarise information in line graphs.
78DataPie and bar graphs.
Objective: On completion of the lesson the student will be able to organise, read and summarise information in pie and bar graphs.
79AreaProblems with area.
Objective: On completion of the lesson the student will be able to solve problems with area.
80Volume/capacityProblems with volume/capacity.
Objective: Problem Solving: problems involving volume/capacity
81Surface areaSurface area of a cube/rectangular prism.
Objective: On completion of the lesson the student will be able calculate the surface area of a number of different shapes by applying the appropriate formula.
82Surface areaSurface area of a triangular/trapezoidal prism.
Objective: On completion of the lesson the student will be able calculate the surface area of a number of triangular and trapezoidal shapes by applying the appropriate formula.
83Surface areaSurface area of a cylinder and sphere.
Objective: On completion of the lesson the student will be able calculate the surface area of different cylindrical and spherical shapes by applying the appropriate formula.
84Surface areaSurface area of pyramids
Objective: On completion of the lesson the student will be able to find the surface areas of pyramids.
85Surface areaSurface area of cones
Objective: On completion of the lesson the student will be able to find the surface areas of cones by finding the area or the base ‘p r . ‘and the area of the curved surface ‘ p r l’. The student will also be able to find the slant height ‘l’ given the perpendicul
86Surface areaSurface area of composite solids
Objective: On completion of the lesson the student will be able to find the surface areas of Composite solids.
87ExamExam – Primary 7 (P7)
Objective: Exam
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Year 8 Mathematics

#TOPICTITLE
1Study PlanStudy plan – Year 8
Objective: On completion of the course formative assessment a tailored study plan is created identifying the lessons requiring revision.
2VolumeFinding the volume of prisms
Objective: On completion of the lesson the student will be able to: use formulae to find the volume of prisms, calculate the volume of a variety of prisms, and explain the relationship between units of length and units of volume.
3VolumeVolume of a cylinder and sphere.
Objective: On completion of the lesson the student will be able to: calculate the volume of cylinders, spheres and hemispheres using the appropriate formulae, and use the relationship between litres and other measures of volume.
4VolumeVolume of pyramids and cones.
Objective: On completion of the lesson the student will be able to: use formulae to find the volume of right pyramids and cones, and calculate the volume of a variety of pyramids and cones.
5VolumeComposite solids.
Objective: On completion of the lesson the student will be able to: dissect composite solids into simpler shapes so that the volume can be calculated, calculate the volume of a variety of composite solids, and use formulae appropriately.
6FractionsUsing fractions 1/2, 1/4, 1/8 to describe part of a whole
Objective: On completion of the lesson the student will be able to: name fractions, and use fractions to describe equal parts of a whole.
7FractionsUsing fractions 1/2, 1/4, 1/8 to describe parts of a group or collection
Objective: On completion of the lesson the student will be able to use the fractions to describe equal parts of a collection of objects.
8FractionsComparing and ordering fractions
Objective: On completion of the lesson the student will be able to compare and order fractions with the same number of equal parts, and compare and order fractions with a different number of equal parts.
9Fractionsmixed numbers (mixed numerals)
Objective: On completion of the lesson the student will be able to: name and recognise mixed numbers (mixed numerals), count by halves and quarters, and use a number line to represent halves and quarters beyond one.
10FractionsImproper fractions
Objective: On completion of the lesson the student will be able to: use diagrams and number lines to recognise and represent mixed numbers and improper fractions, and develop strategies for changing improper fractions to mixed numbers and vice versa, mentally.
11FractionsFractions 1/5, 1/10, 1/100
Objective: On completion of the lesson the student will be able to: compare fractions with the denominators 5, 10, 100, and represent fractions with the denominator 5, 10, 100.
12FractionsFinding equivalent fractions
Objective: On completion of the lesson the student will be able to name and find fractions that represent equal amounts between halves, quarters and eighths – using diagrams and number lines.
13FractionsMultiplying and dividing to obtain equivalent fractions
Objective: On completion of the lesson the student will be able to: obtain equivalent fractions using a number line or diagram, develop mental strategies to obtain equivalent fractions, and reduce a fraction to its lowest equivalent form.
14FractionsReducing fractions to lowest equivalent form
Objective: On completion of the lesson the student will be able to reduce a fraction to its lowest equivalent form by dividing the numerator and denominator by a common factor.
15FractionsComparing and ordering fractions greater than (>) 1
Objective: On completion of the lesson the student will be able to use diagrams, number lines and equivalent fractions to compare and order fractions greater than (>) one.
16FractionsSubtracting fractions from whole numbers
Objective: On completion of the lesson the student will be able to: use a diagram to subtract fractions from a whole number, develop mental strategies for subtracting fractions from whole numbers, and recognise and use the written form for subtracting fractions from
17FractionsAdding and subtracting fractions with the same denominator
Objective: On completion of the lesson the student will be able to add and subtract fractions with the same denominator.
18FractionsAdding and subtracting fractions with different denominators
Objective: On completion of the lesson the student will be able to add and subtract fractions where one denominator is a multiple of the other.
19FractionsMultiplying fractions by whole numbers
Objective: On completion of the lesson the student will be able to multiply simple fractions by whole numbers.
20FractionsFractions of whole numbers
Objective: On completion of the lesson the student will be able to calculate unit fractions of a collection.
21FractionsMultiplying fractions
Objective: On completion of the lesson the student will be able to multiply fractions and reduce the answer to its lowest form.
22FractionsMultiplying mixed numbers (mixed numerals)
Objective: On completion of the lesson the student will be able to multiply mixed numbers (mixed numerals) and reduce the answer to its lowest form.
23FractionsFinding reciprocals of fractions and mixed numbers (mixed numerals)
Objective: On completion of the lesson the student will be able to find the reciprocals of fractions and mixed numbers (mixed numerals).
24FractionsDividing fractions
Objective: On completion of the lesson the student will be able to divide fractions.
25FractionsDividing mixed numbers (mixed numerals)
Objective: On completion of the lesson the student will be able to divide mixed numbers (mixed numerals).
26Rules propertiesUsing Order of Operation procedures (BIDMAS) with Fractions
Objective: On completion of the lesson the student will know how to apply the order of operations rules to simplify expressions with integers and fractions.
27DecimalsIntroduction to decimals
Objective: On completion of the lesson the student will be able to represent decimals to two decimal places.
28DecimalsComparing and ordering decimals to two decimal places
Objective: On completion of the lesson the student will be able to compare and order decimals to two decimal places and understand decimal notation to two places.
29DecimalsDecimals with whole numbers 10th and 100th
Objective: On completion of the lesson the student will be able to use and understand place value to show whole numbers, tenths and hundredths as decimals.
30DecimalsAdding decimals to two decimal places
Objective: On completion of the lesson the student will be able to add decimals with the same number of decimal places (to two decimal places)
31DecimalsSubtracting decimals to two decimal places
Objective: On completion of the lesson the student will be able to subtract decimals with the same number of decimal places (to two decimal places)
32DecimalsUsing decimals – shopping problems
Objective: On completion of the lesson the student will be able to: read and interpret problems involving money, interpret the everyday use of decimals, and perform calculations with money.
33DecimalsUsing decimals to record length
Objective: On completion of the lesson the student will be able to interpret the everyday use of fractions and decimals and use their knowledge of decimals to record measurements.
34DecimalsRounding decimals
Objective: On completion of the lesson the student will be able to round a number with one or two decimal places to the nearest whole number.
35DecimalsDecimals to three decimal places
Objective: On completion of the lesson the student will be able to express thousandths as a decimal and interpret decimal notation for thousandths.
36DecimalsAdding decimals with a different number of decimal places
Objective: On completion of the lesson the student will be able to add decimal numbers with different numbers of decimal places.
37DecimalsSubtracting decimals with a different number of places
Objective: On completion of the lesson the student will be able to subtract decimals with different numbers of decimal places.
38DecimalsMultiplying decimals by 10, 100 and 1000
Objective: On completion of the lesson the student will be able to multiply decimal numbers by one hundred and recognise the pattern formed when decimals are multiplied by ten, one hundred and one thousand.
39DecimalsMultiplying decimals by whole numbers
Objective: On completion of the lesson the student will be able to multiply decimals by whole numbers.
40DecimalsMultiplication of decimals by decimals to two decimal places
Objective: On completion of the lesson the student will be able to multiply decimals to two digits.
41DecimalsDividing decimals by 10, 100 and 1000
Objective: On completion of the lesson the student will be able to divide decimal numbers by one hundred and recognise the pattern formed when decimals are divided by ten, one hundred and one thousand.
42DecimalsDividing decimal fractions by whole numbers
Objective: On completion of the lesson the student will be able to divide decimal fractions by whole numbers.
43DecimalsDividing numbers by a decimal fraction
Objective: On completion of the lesson the student will be able to divide numbers by a decimal fraction.
44PercentagesIntroduction to percentages, including relating common fractions to percentages
Objective: On completion of the lesson the student will be able to recognise that the symbol % means ‘per cent’ and relate common fractions to a percentage.
45PercentagesChanging fractions and decimals to percentages using tenths and hundredths
Objective: On completion of the lesson the student will be able to change simple fractions to percentages and decimals to percentages by using place value conversion.
46PercentagesChanging percentages to fractions and decimals
Objective: On completion of the lesson the student will be able to change percentages to fractions and know how to change percentages to decimals.
47PercentagesOne quantity as a percentage of another
Objective: On completion of the lesson the student will be able to find a percentage of an amount and how to express one quantity as a percentage of another.
48PercentagesCalculating Percentages and Fractions of Quantities
Objective: To find percentages and fractions of quantities and solve problems with percentages
49Time, distance, speedAverage speed
Objective: On completion of the lesson the student will be able to understand what is meant by the speed of an object, read the instantaneous speed of a vehicle on a speedometer and find the average speed of an object.
502-D shapesUsing the prefix to determine polygons
Objective: On completion of the lesson the student will be able to recognise and name two-dimensional shapes such as pentagons and hexagons, using the prefix of the shapes name to determine number of angles and sides.
512-D shapesSpatial properties of quadrilaterals
Objective: On completion of the lesson the student will know how to analyse and explain the spatial properties of quadrilaterals.
52AnglesMeasure and classify angles
Objective: On completion of the lesson the student will be able to recognise, measure and classify angles and measure the angles in a triangle.
532-D shapesRecognise and name triangles
Objective: On completion of the lesson the student will be able to recognise and correctly name triangles according to their properties.
54Tessellating 2-D shapesUse grids to enlarge/reduce 2D shapes
Objective: On completion of the lesson the student will be able to use grids to enlarge or reduce two dimensional shapes and also to recognise shapes that will and won’t tessellate.
553-D shapesRecognise and name prisms according to spatial properties
Objective: On completion of the lesson the student will be able to recognise and name various prisms according to their spatial properties.
563-D shapesRecognise and name pyramids according to spatial properties
Objective: On completion of the lesson the student will be able to recognise, describe and name pyramids according to their spatial properties.
573-D shapesRecognise nets for prisms, pyramids, cubes and cones
Objective: On completion of the lesson the student will be able to predict and recognise nets for prisms, pyramids, cubes and cones.
583-D shapesViewing 3-D shapes.
Objective: On completion of the lesson the student will be able to use conventional representations of three-dimensional shapes to show depth etc when drawing or viewing shapes from various angles.
59Lines and anglesDescribing position.
Objective: On completion of the lesson the student will be able to use and understand conventional location language to describe position.
60Lines and anglesMapping and grid references
Objective: On completion of the lesson the student will be able to identify specific places on a map and use regions on a grid to locate objects or places.
61Lines and anglesMain and intermediate compass points
Objective: On completion of the lesson the student will be able to use main and intermediate compass points to specify location.
62Lines and anglesInformal coordinate system
Objective: On completion of the lesson the student will be able to use an informal coordinate system to specify location, and locate coordinate points on grid paper.
63DataPictograms
Objective: On completion of the lesson the student will be able to organise, read and summarise information in picture graphs.
64DataBar Charts
Objective: On completion of the lesson the student will be able to organise, read and summarise information in column graphs.
65DataLine graphs.
Objective: On completion of the lesson the student will be able to organise, read and summarise information in line graphs.
66DataPie and bar graphs.
Objective: On completion of the lesson the student will be able to organise, read and summarise information in pie and bar graphs.
67AreaProblems with area.
Objective: On completion of the lesson the student will be able to solve problems with area.
68Volume/capacityProblems with volume/capacity.
Objective: Problem Solving: problems involving volume/capacity
69Surface areaSurface area of a cube/rectangular prism.
Objective: On completion of the lesson the student will be able calculate the surface area of a number of different shapes by applying the appropriate formula.
70Surface areaSurface area of a triangular/trapezoidal prism.
Objective: On completion of the lesson the student will be able calculate the surface area of a number of triangular and trapezoidal shapes by applying the appropriate formula.
71Surface areaSurface area of a cylinder and sphere.
Objective: On completion of the lesson the student will be able calculate the surface area of different cylindrical and spherical shapes by applying the appropriate formula.
72Surface areaSurface area of pyramids
Objective: On completion of the lesson the student will be able to find the surface areas of pyramids.
73Surface areaSurface area of cones
Objective: On completion of the lesson the student will be able to find the surface areas of cones by finding the area or the base ‘p r . ‘and the area of the curved surface ‘ p r l’. The student will also be able to find the slant height ‘l’ given the perpendicul
74Surface areaSurface area of composite solids
Objective: On completion of the lesson the student will be able to find the surface areas of Composite solids.
75Algebraic expressionsAlgebraic expressions.
Objective: On completion of the lesson the student will understand some of the short cuts used in writing algebraic expressions, and the student will be able to write algebraic expressions down in a way that is easier to understand.
76Algebraic expressionsSubstitution into algebraic expressions.
Objective: On completion of the lesson the student will be able to replace pronumerals with numbers, and then perform the correct operations.
77Algebraic expressionsDirected numbers: addition and subtraction.
Objective: On completion of the lesson the student will be able to add and subtract positive and negative numbers in any combination, and understand adding and subtracting positive and negative pronumerals.
78Algebraic expressionsDirected numbers: multiplication and division.
Objective: On completion of the lesson the student will understand which combinations of signs produce a positive answer and which ones produce a negative answer.
79Algebraic expressionsSimplifying algebraic expressions: adding like terms.
Objective: On completion of the lesson the student will be able to simplify and evaluate numerical expressions containing patterns, and be able to simplify algebraic expressions that contain like terms.
80Algebraic expressionsSimplifying algebraic Expressions: subtracting like terms.
Objective: On completion of the lesson the student will be able to recognise the difference between like and unlike terms, and be able to simplify an expression using subtraction.
81Algebraic expressionsSimplifying Algebraic expressions: combining addition and subtraction.
Objective: On completion of the lesson the student will understand how to approach algebraic expressions questions and avoid the most common mistakes.
82Algebraic expressionsSimplifying algebraic expressions: multiplication
Objective: On completion of the lesson the student will be able to simplify expressions involving multiplication of pronumerals and write them in the simplest form.
83Algebraic expressionsSimplifying algebraic expressions: division
Objective: On completion of the lesson the student will be able to use all the operations needed for simplifying algebraic expressions.
84Algebraic expressionsExpanding algebraic expressions: multiplication
Objective: On completion of the lesson the student will be able mentally to multiply and remove parentheses from simple algebraic expressions in one step.
85Algebraic expressionsExpanding algebraic expressions: negative multiplier
Objective: On completion of the lesson the student will be able to expand expressions using a negative multiplier.
86Algebraic expressionsExpanding and simplifying algebraic expressions
Objective: On completion of the lesson the student will be familiar with expanding and simplifying algebraic expressions.
87Algebraic equationsSolving equations containing addition and subtraction
Objective: On completion of the lesson the student will understand how solve simple equations involving addition and subtraction by moving everything but the pronumeral onto one side of the equation, leaving the pronumeral by itself on the other side.
88Algebraic equationsSolving equations containing multiplication and division
Objective: On completion of the lesson the student will be able to solve simple equations involving all operations.
89Algebraic equationsSolving two step equations
Objective: On completion of the lesson the student will be able to solve two step equations.
90Algebraic equationsSolving equations containing binomial expressions
Objective: On completion of the lesson the student will be able to move terms in binomial equations.
91Algebraic equationsEquations involving grouping symbols.
Objective: On completion of the lesson the student will be able to solve equations using grouping symbols
92Geometry-anglesMeasuring angles
Objective: On completion of the lesson the student will be able to measure any angle between 0 and 360 degrees using a protractor, and identify what type of angle it is.
93Geometry-anglesAdjacent angles
Objective: On completion of the lesson the student will be able to understand the parts of an angle, what adjacent angles are and how they are used to solve simple angle problems.
94Geometry-anglesComplementary and supplementary angles
Objective: On completion of the lesson the student will able to identify Complementary and Supplementary Angles and use this knowledge to solve simple geometric angle problems.
95Geometry-anglesVertically opposite angles
Objective: On completion of the lesson the student will able to identify Vertically Opposite Angles and use this knowledge to solve simple geometric angle problems.
96Geometry-anglesAngles at a Point.
Objective: On completion of the lesson the student will able to identify Angles at a Point and use this knowledge and other angles concepts to solve simple geometric angle problems.
97Geometry-anglesParallel Lines.
Objective: On completion of the lesson the student will able to identify corresponding, co-interior and alternate angles.
98Geometry-problemsAdditional questions involving parallel lines
Objective: On completion of the lesson the student will able to complete two step parallel line questions, and identify other ways to solve them.
99Geometry-trianglesAngle sum of a triangle
Objective: On completion of the lesson the student will able to identify and use the angle sum of a triangle theorem to solve geometric problems.
100Geometry-trianglesExterior angle theorem
Objective: On completion of the lesson the student will able to identify and use the exterior angle of a triangle theorem to solve geometric questions.
101ExamExam – Year 8
Objective: Exam
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Year 9 Mathematics

#TOPICTITLE
1Study PlanStudy plan – Year 9
Objective: On completion of the course formative assessment a tailored study plan is created identifying the lessons requiring revision.
2VolumeFinding the volume of prisms
Objective: On completion of the lesson the student will be able to: use formulae to find the volume of prisms, calculate the volume of a variety of prisms, and explain the relationship between units of length and units of volume.
3VolumeVolume of a cylinder and sphere.
Objective: On completion of the lesson the student will be able to: calculate the volume of cylinders, spheres and hemispheres using the appropriate formulae, and use the relationship between litres and other measures of volume.
4VolumeVolume of pyramids and cones.
Objective: On completion of the lesson the student will be able to: use formulae to find the volume of right pyramids and cones, and calculate the volume of a variety of pyramids and cones.
5VolumeComposite solids.
Objective: On completion of the lesson the student will be able to: dissect composite solids into simpler shapes so that the volume can be calculated, calculate the volume of a variety of composite solids, and use formulae appropriately.
6FractionsUsing fractions 1/2, 1/4, 1/8 to describe part of a whole
Objective: On completion of the lesson the student will be able to: name fractions, and use fractions to describe equal parts of a whole.
7FractionsUsing fractions 1/2, 1/4, 1/8 to describe parts of a group or collection
Objective: On completion of the lesson the student will be able to use the fractions to describe equal parts of a collection of objects.
8FractionsComparing and ordering fractions
Objective: On completion of the lesson the student will be able to compare and order fractions with the same number of equal parts, and compare and order fractions with a different number of equal parts.
9Fractionsmixed numbers (mixed numerals)
Objective: On completion of the lesson the student will be able to: name and recognise mixed numbers (mixed numerals), count by halves and quarters, and use a number line to represent halves and quarters beyond one.
10FractionsImproper fractions
Objective: On completion of the lesson the student will be able to: use diagrams and number lines to recognise and represent mixed numbers and improper fractions, and develop strategies for changing improper fractions to mixed numbers and vice versa, mentally.
11FractionsFractions 1/5, 1/10, 1/100
Objective: On completion of the lesson the student will be able to: compare fractions with the denominators 5, 10, 100, and represent fractions with the denominator 5, 10, 100.
12FractionsFinding equivalent fractions
Objective: On completion of the lesson the student will be able to name and find fractions that represent equal amounts between halves, quarters and eighths – using diagrams and number lines.
13FractionsMultiplying and dividing to obtain equivalent fractions
Objective: On completion of the lesson the student will be able to: obtain equivalent fractions using a number line or diagram, develop mental strategies to obtain equivalent fractions, and reduce a fraction to its lowest equivalent form.
14FractionsReducing fractions to lowest equivalent form
Objective: On completion of the lesson the student will be able to reduce a fraction to its lowest equivalent form by dividing the numerator and denominator by a common factor.
15FractionsComparing and ordering fractions greater than (>) 1
Objective: On completion of the lesson the student will be able to use diagrams, number lines and equivalent fractions to compare and order fractions greater than (>) one.
16FractionsSubtracting fractions from whole numbers
Objective: On completion of the lesson the student will be able to: use a diagram to subtract fractions from a whole number, develop mental strategies for subtracting fractions from whole numbers, and recognise and use the written form for subtracting fractions from
17FractionsAdding and subtracting fractions with the same denominator
Objective: On completion of the lesson the student will be able to add and subtract fractions with the same denominator.
18FractionsAdding and subtracting fractions with different denominators
Objective: On completion of the lesson the student will be able to add and subtract fractions where one denominator is a multiple of the other.
19FractionsMultiplying fractions by whole numbers
Objective: On completion of the lesson the student will be able to multiply simple fractions by whole numbers.
20FractionsFractions of whole numbers
Objective: On completion of the lesson the student will be able to calculate unit fractions of a collection.
21FractionsMultiplying fractions
Objective: On completion of the lesson the student will be able to multiply fractions and reduce the answer to its lowest form.
22FractionsMultiplying mixed numbers (mixed numerals)
Objective: On completion of the lesson the student will be able to multiply mixed numbers (mixed numerals) and reduce the answer to its lowest form.
23FractionsFinding reciprocals of fractions and mixed numbers (mixed numerals)
Objective: On completion of the lesson the student will be able to find the reciprocals of fractions and mixed numbers (mixed numerals).
24FractionsDividing fractions
Objective: On completion of the lesson the student will be able to divide fractions.
25FractionsDividing mixed numbers (mixed numerals)
Objective: On completion of the lesson the student will be able to divide mixed numbers (mixed numerals).
26Rules propertiesUsing Order of Operation procedures (BIDMAS) with Fractions
Objective: On completion of the lesson the student will know how to apply the order of operations rules to simplify expressions with integers and fractions.
27DecimalsIntroduction to decimals
Objective: On completion of the lesson the student will be able to represent decimals to two decimal places.
28DecimalsComparing and ordering decimals to two decimal places
Objective: On completion of the lesson the student will be able to compare and order decimals to two decimal places and understand decimal notation to two places.
29DecimalsDecimals with whole numbers 10th and 100th
Objective: On completion of the lesson the student will be able to use and understand place value to show whole numbers, tenths and hundredths as decimals.
30DecimalsAdding decimals to two decimal places
Objective: On completion of the lesson the student will be able to add decimals with the same number of decimal places (to two decimal places)
31DecimalsSubtracting decimals to two decimal places
Objective: On completion of the lesson the student will be able to subtract decimals with the same number of decimal places (to two decimal places)
32DecimalsUsing decimals – shopping problems
Objective: On completion of the lesson the student will be able to: read and interpret problems involving money, interpret the everyday use of decimals, and perform calculations with money.
33DecimalsUsing decimals to record length
Objective: On completion of the lesson the student will be able to interpret the everyday use of fractions and decimals and use their knowledge of decimals to record measurements.
34DecimalsRounding decimals
Objective: On completion of the lesson the student will be able to round a number with one or two decimal places to the nearest whole number.
35DecimalsDecimals to three decimal places
Objective: On completion of the lesson the student will be able to express thousandths as a decimal and interpret decimal notation for thousandths.
36DecimalsAdding decimals with a different number of decimal places
Objective: On completion of the lesson the student will be able to add decimal numbers with different numbers of decimal places.
37DecimalsSubtracting decimals with a different number of places
Objective: On completion of the lesson the student will be able to subtract decimals with different numbers of decimal places.
38DecimalsMultiplying decimals by 10, 100 and 1000
Objective: On completion of the lesson the student will be able to multiply decimal numbers by one hundred and recognise the pattern formed when decimals are multiplied by ten, one hundred and one thousand.
39DecimalsMultiplying decimals by whole numbers
Objective: On completion of the lesson the student will be able to multiply decimals by whole numbers.
40DecimalsMultiplication of decimals by decimals to two decimal places
Objective: On completion of the lesson the student will be able to multiply decimals to two digits.
41DecimalsDividing decimals by 10, 100 and 1000
Objective: On completion of the lesson the student will be able to divide decimal numbers by one hundred and recognise the pattern formed when decimals are divided by ten, one hundred and one thousand.
42DecimalsDividing decimal fractions by whole numbers
Objective: On completion of the lesson the student will be able to divide decimal fractions by whole numbers.
43DecimalsDividing numbers by a decimal fraction
Objective: On completion of the lesson the student will be able to divide numbers by a decimal fraction.
44PercentagesIntroduction to percentages, including relating common fractions to percentages
Objective: On completion of the lesson the student will be able to recognise that the symbol % means ‘per cent’ and relate common fractions to a percentage.
45PercentagesChanging fractions and decimals to percentages using tenths and hundredths
Objective: On completion of the lesson the student will be able to change simple fractions to percentages and decimals to percentages by using place value conversion.
46PercentagesChanging percentages to fractions and decimals
Objective: On completion of the lesson the student will be able to change percentages to fractions and know how to change percentages to decimals.
47PercentagesOne quantity as a percentage of another
Objective: On completion of the lesson the student will be able to find a percentage of an amount and how to express one quantity as a percentage of another.
48PercentagesCalculating Percentages and Fractions of Quantities
Objective: To find percentages and fractions of quantities and solve problems with percentages
49Time, distance, speedAverage speed
Objective: On completion of the lesson the student will be able to understand what is meant by the speed of an object, read the instantaneous speed of a vehicle on a speedometer and find the average speed of an object.
502-D shapesUsing the prefix to determine polygons
Objective: On completion of the lesson the student will be able to recognise and name two-dimensional shapes such as pentagons and hexagons, using the prefix of the shapes name to determine number of angles and sides.
512-D shapesSpatial properties of quadrilaterals
Objective: On completion of the lesson the student will know how to analyse and explain the spatial properties of quadrilaterals.
52AnglesMeasure and classify angles
Objective: On completion of the lesson the student will be able to recognise, measure and classify angles and measure the angles in a triangle.
532-D shapesRecognise and name triangles
Objective: On completion of the lesson the student will be able to recognise and correctly name triangles according to their properties.
54Tessellating 2-D shapesUse grids to enlarge/reduce 2D shapes
Objective: On completion of the lesson the student will be able to use grids to enlarge or reduce two dimensional shapes and also to recognise shapes that will and won’t tessellate.
553-D shapesRecognise and name prisms according to spatial properties
Objective: On completion of the lesson the student will be able to recognise and name various prisms according to their spatial properties.
563-D shapesRecognise and name pyramids according to spatial properties
Objective: On completion of the lesson the student will be able to recognise, describe and name pyramids according to their spatial properties.
573-D shapesRecognise nets for prisms, pyramids, cubes and cones
Objective: On completion of the lesson the student will be able to predict and recognise nets for prisms, pyramids, cubes and cones.
583-D shapesViewing 3-D shapes.
Objective: On completion of the lesson the student will be able to use conventional representations of three-dimensional shapes to show depth etc when drawing or viewing shapes from various angles.
59Lines and anglesDescribing position.
Objective: On completion of the lesson the student will be able to use and understand conventional location language to describe position.
60Lines and anglesMapping and grid references
Objective: On completion of the lesson the student will be able to identify specific places on a map and use regions on a grid to locate objects or places.
61Lines and anglesMain and intermediate compass points
Objective: On completion of the lesson the student will be able to use main and intermediate compass points to specify location.
62Lines and anglesInformal coordinate system
Objective: On completion of the lesson the student will be able to use an informal coordinate system to specify location, and locate coordinate points on grid paper.
63DataPictograms
Objective: On completion of the lesson the student will be able to organise, read and summarise information in picture graphs.
64DataBar Charts
Objective: On completion of the lesson the student will be able to organise, read and summarise information in column graphs.
65DataLine graphs.
Objective: On completion of the lesson the student will be able to organise, read and summarise information in line graphs.
66DataPie and bar graphs.
Objective: On completion of the lesson the student will be able to organise, read and summarise information in pie and bar graphs.
67AreaProblems with area.
Objective: On completion of the lesson the student will be able to solve problems with area.
68Volume/capacityProblems with volume/capacity.
Objective: Problem Solving: problems involving volume/capacity
69Surface areaSurface area of a cube/rectangular prism.
Objective: On completion of the lesson the student will be able calculate the surface area of a number of different shapes by applying the appropriate formula.
70Surface areaSurface area of a triangular/trapezoidal prism.
Objective: On completion of the lesson the student will be able calculate the surface area of a number of triangular and trapezoidal shapes by applying the appropriate formula.
71Surface areaSurface area of a cylinder and sphere.
Objective: On completion of the lesson the student will be able calculate the surface area of different cylindrical and spherical shapes by applying the appropriate formula.
72Surface areaSurface area of pyramids
Objective: On completion of the lesson the student will be able to find the surface areas of pyramids.
73Surface areaSurface area of cones
Objective: On completion of the lesson the student will be able to find the surface areas of cones by finding the area or the base ‘p r . ‘and the area of the curved surface ‘ p r l’. The student will also be able to find the slant height ‘l’ given the perpendicul
74Surface areaSurface area of composite solids
Objective: On completion of the lesson the student will be able to find the surface areas of Composite solids.
75Algebraic expressionsAlgebraic expressions.
Objective: On completion of the lesson the student will understand some of the short cuts used in writing algebraic expressions, and the student will be able to write algebraic expressions down in a way that is easier to understand.
76Algebraic expressionsSubstitution into algebraic expressions.
Objective: On completion of the lesson the student will be able to replace pronumerals with numbers, and then perform the correct operations.
77Algebraic expressionsDirected numbers: addition and subtraction.
Objective: On completion of the lesson the student will be able to add and subtract positive and negative numbers in any combination, and understand adding and subtracting positive and negative pronumerals.
78Algebraic expressionsDirected numbers: multiplication and division.
Objective: On completion of the lesson the student will understand which combinations of signs produce a positive answer and which ones produce a negative answer.
79Algebraic expressionsSimplifying algebraic expressions: adding like terms.
Objective: On completion of the lesson the student will be able to simplify and evaluate numerical expressions containing patterns, and be able to simplify algebraic expressions that contain like terms.
80Algebraic expressionsSimplifying algebraic Expressions: subtracting like terms.
Objective: On completion of the lesson the student will be able to recognise the difference between like and unlike terms, and be able to simplify an expression using subtraction.
81Algebraic expressionsSimplifying Algebraic expressions: combining addition and subtraction.
Objective: On completion of the lesson the student will understand how to approach algebraic expressions questions and avoid the most common mistakes.
82Algebraic expressionsSimplifying algebraic expressions: multiplication
Objective: On completion of the lesson the student will be able to simplify expressions involving multiplication of pronumerals and write them in the simplest form.
83Algebraic expressionsSimplifying algebraic expressions: division
Objective: On completion of the lesson the student will be able to use all the operations needed for simplifying algebraic expressions.
84Algebraic expressionsExpanding algebraic expressions: multiplication
Objective: On completion of the lesson the student will be able mentally to multiply and remove parentheses from simple algebraic expressions in one step.
85Algebraic expressionsExpanding algebraic expressions: negative multiplier
Objective: On completion of the lesson the student will be able to expand expressions using a negative multiplier.
86Algebraic expressionsExpanding and simplifying algebraic expressions
Objective: On completion of the lesson the student will be familiar with expanding and simplifying algebraic expressions.
87Algebraic equationsSolving equations containing addition and subtraction
Objective: On completion of the lesson the student will understand how solve simple equations involving addition and subtraction by moving everything but the pronumeral onto one side of the equation, leaving the pronumeral by itself on the other side.
88Algebraic equationsSolving equations containing multiplication and division
Objective: On completion of the lesson the student will be able to solve simple equations involving all operations.
89Algebraic equationsSolving two step equations
Objective: On completion of the lesson the student will be able to solve two step equations.
90Algebraic equationsSolving equations containing binomial expressions
Objective: On completion of the lesson the student will be able to move terms in binomial equations.
91Algebraic equationsEquations involving grouping symbols.
Objective: On completion of the lesson the student will be able to solve equations using grouping symbols
92Geometry-anglesMeasuring angles
Objective: On completion of the lesson the student will be able to measure any angle between 0 and 360 degrees using a protractor, and identify what type of angle it is.
93Geometry-anglesAdjacent angles
Objective: On completion of the lesson the student will be able to understand the parts of an angle, what adjacent angles are and how they are used to solve simple angle problems.
94Geometry-anglesComplementary and supplementary angles
Objective: On completion of the lesson the student will able to identify Complementary and Supplementary Angles and use this knowledge to solve simple geometric angle problems.
95Geometry-anglesVertically opposite angles
Objective: On completion of the lesson the student will able to identify Vertically Opposite Angles and use this knowledge to solve simple geometric angle problems.
96Geometry-anglesAngles at a Point.
Objective: On completion of the lesson the student will able to identify Angles at a Point and use this knowledge and other angles concepts to solve simple geometric angle problems.
97Geometry-anglesParallel Lines.
Objective: On completion of the lesson the student will able to identify corresponding, co-interior and alternate angles.
98Geometry-problemsAdditional questions involving parallel lines
Objective: On completion of the lesson the student will able to complete two step parallel line questions, and identify other ways to solve them.
99Geometry-trianglesAngle sum of a triangle
Objective: On completion of the lesson the student will able to identify and use the angle sum of a triangle theorem to solve geometric problems.
100Geometry-trianglesExterior angle theorem
Objective: On completion of the lesson the student will able to identify and use the exterior angle of a triangle theorem to solve geometric questions.
101Special trianglesSpecial triangles
Objective: On completion of the lesson the student will able to identify an equilateral and an isosceles triangle and solve geometry questions involving these triangles.
102Geometry-quadrilateralsQuadrilaterals
Objective: On completion of the lesson the student will able to find missing angles by using the fact that a quadrilateral’s angle sum is 360 degrees.
103Geometry-constructionsGeometric constructions
Objective: On completion of the lesson the student will able complete constructions with a ruler and a pair of compasses.
104Geometry problemsMore difficult exercises involving parallel lines
Objective: On completion of the lesson the student will able to identify corresponding, co-interior and alternate angles in questions that are more difficult than previously completed. Students will also learn to use other geometric properties as well as set out log
105Geometry-reasoningFurther difficult exercises involving formal reasoning
Objective: On completion of the lesson the student will be able to identify which geometric properties are needed to complete a question and be able to use formal reasoning to write out this information.
106Geometry-polygonsAngles of regular polygons
Objective: On completion of the lesson the student will be able to identify and use the angle sum of a polygon formula, and understand that the external angles of a polygon add up to 360 degrees.
107Simultaneous equnsSimultaneous equations
Objective: On completion of the lesson the student will be able to solve 2 equations with 2 unknown variables by the substitution method.
108Simultaneous equnsElimination method
Objective: On completion of the lesson the student will be able to solve 2 equations with 2 unknown variables by the elimination method.
109Simultaneous equnsElimination method part 2
Objective: On completion of the lesson the student will be able to solve all types of simultaneous equations with 2 unknown variables by the elimination method.
110Simultaneous equnsApplications of simultaneous equations
Objective: On completion of this lesson the student will be able to derive simultaneous equations from a given problem and then solve those simultaneous equations.
111FactorisingExpansions leading to the difference of two squares
Objective: On completion of the lesson the student will understand expansions leading to differences of 2 squares.
112Algebraic expressions-productsProducts in simplification of algebraic expressions
Objective: On completion of the lesson the student will understand simplification of algebraic expressions in step-by-step processing.
113Algebraic expressions-larger expansionsAlgebraic Expressions – Larger expansions.
Objective: On completion of the lesson the student will be capable of expanding larger algebraic expressions.
114ExamExam – Year 9
Objective: Exam
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Year 10 Mathematics

#TOPICTITLE
1Study PlanStudy plan – Year 10
Objective: On completion of the course formative assessment a tailored study plan is created identifying the lessons requiring revision.
2FractionsUsing fractions 1/2, 1/4, 1/8 to describe part of a whole
Objective: On completion of the lesson the student will be able to: name fractions, and use fractions to describe equal parts of a whole.
3FractionsUsing fractions 1/2, 1/4, 1/8 to describe parts of a group or collection
Objective: On completion of the lesson the student will be able to use the fractions to describe equal parts of a collection of objects.
4FractionsComparing and ordering fractions
Objective: On completion of the lesson the student will be able to compare and order fractions with the same number of equal parts, and compare and order fractions with a different number of equal parts.
5Fractionsmixed numbers (mixed numerals)
Objective: On completion of the lesson the student will be able to: name and recognise mixed numbers (mixed numerals), count by halves and quarters, and use a number line to represent halves and quarters beyond one.
6FractionsImproper fractions
Objective: On completion of the lesson the student will be able to: use diagrams and number lines to recognise and represent mixed numbers and improper fractions, and develop strategies for changing improper fractions to mixed numbers and vice versa, mentally.
7FractionsFractions 1/5, 1/10, 1/100
Objective: On completion of the lesson the student will be able to: compare fractions with the denominators 5, 10, 100, and represent fractions with the denominator 5, 10, 100.
8FractionsFinding equivalent fractions
Objective: On completion of the lesson the student will be able to name and find fractions that represent equal amounts between halves, quarters and eighths – using diagrams and number lines.
9FractionsMultiplying and dividing to obtain equivalent fractions
Objective: On completion of the lesson the student will be able to: obtain equivalent fractions using a number line or diagram, develop mental strategies to obtain equivalent fractions, and reduce a fraction to its lowest equivalent form.
10FractionsReducing fractions to lowest equivalent form
Objective: On completion of the lesson the student will be able to reduce a fraction to its lowest equivalent form by dividing the numerator and denominator by a common factor.
11FractionsComparing and ordering fractions greater than (>) 1
Objective: On completion of the lesson the student will be able to use diagrams, number lines and equivalent fractions to compare and order fractions greater than (>) one.
12FractionsSubtracting fractions from whole numbers
Objective: On completion of the lesson the student will be able to: use a diagram to subtract fractions from a whole number, develop mental strategies for subtracting fractions from whole numbers, and recognise and use the written form for subtracting fractions from
13FractionsAdding and subtracting fractions with the same denominator
Objective: On completion of the lesson the student will be able to add and subtract fractions with the same denominator.
14FractionsAdding and subtracting fractions with different denominators
Objective: On completion of the lesson the student will be able to add and subtract fractions where one denominator is a multiple of the other.
15FractionsMultiplying fractions by whole numbers
Objective: On completion of the lesson the student will be able to multiply simple fractions by whole numbers.
16FractionsFractions of whole numbers
Objective: On completion of the lesson the student will be able to calculate unit fractions of a collection.
17FractionsMultiplying fractions
Objective: On completion of the lesson the student will be able to multiply fractions and reduce the answer to its lowest form.
18FractionsMultiplying mixed numbers (mixed numerals)
Objective: On completion of the lesson the student will be able to multiply mixed numbers (mixed numerals) and reduce the answer to its lowest form.
19FractionsFinding reciprocals of fractions and mixed numbers (mixed numerals)
Objective: On completion of the lesson the student will be able to find the reciprocals of fractions and mixed numbers (mixed numerals).
20FractionsDividing fractions
Objective: On completion of the lesson the student will be able to divide fractions.
21FractionsDividing mixed numbers (mixed numerals)
Objective: On completion of the lesson the student will be able to divide mixed numbers (mixed numerals).
22Rules propertiesUsing Order of Operation procedures (BIDMAS) with Fractions
Objective: On completion of the lesson the student will know how to apply the order of operations rules to simplify expressions with integers and fractions.
23DecimalsIntroduction to decimals
Objective: On completion of the lesson the student will be able to represent decimals to two decimal places.
24DecimalsComparing and ordering decimals to two decimal places
Objective: On completion of the lesson the student will be able to compare and order decimals to two decimal places and understand decimal notation to two places.
25DecimalsDecimals with whole numbers 10th and 100th
Objective: On completion of the lesson the student will be able to use and understand place value to show whole numbers, tenths and hundredths as decimals.
26DecimalsAdding decimals to two decimal places
Objective: On completion of the lesson the student will be able to add decimals with the same number of decimal places (to two decimal places)
27DecimalsSubtracting decimals to two decimal places
Objective: On completion of the lesson the student will be able to subtract decimals with the same number of decimal places (to two decimal places)
28DecimalsUsing decimals – shopping problems
Objective: On completion of the lesson the student will be able to: read and interpret problems involving money, interpret the everyday use of decimals, and perform calculations with money.
29DecimalsUsing decimals to record length
Objective: On completion of the lesson the student will be able to interpret the everyday use of fractions and decimals and use their knowledge of decimals to record measurements.
30DecimalsRounding decimals
Objective: On completion of the lesson the student will be able to round a number with one or two decimal places to the nearest whole number.
31DecimalsDecimals to three decimal places
Objective: On completion of the lesson the student will be able to express thousandths as a decimal and interpret decimal notation for thousandths.
32DecimalsAdding decimals with a different number of decimal places
Objective: On completion of the lesson the student will be able to add decimal numbers with different numbers of decimal places.
33DecimalsSubtracting decimals with a different number of places
Objective: On completion of the lesson the student will be able to subtract decimals with different numbers of decimal places.
34DecimalsMultiplying decimals by 10, 100 and 1000
Objective: On completion of the lesson the student will be able to multiply decimal numbers by one hundred and recognise the pattern formed when decimals are multiplied by ten, one hundred and one thousand.
35DecimalsMultiplying decimals by whole numbers
Objective: On completion of the lesson the student will be able to multiply decimals by whole numbers.
36DecimalsMultiplication of decimals by decimals to two decimal places
Objective: On completion of the lesson the student will be able to multiply decimals to two digits.
37DecimalsDividing decimals by 10, 100 and 1000
Objective: On completion of the lesson the student will be able to divide decimal numbers by one hundred and recognise the pattern formed when decimals are divided by ten, one hundred and one thousand.
38DecimalsDividing decimal fractions by whole numbers
Objective: On completion of the lesson the student will be able to divide decimal fractions by whole numbers.
39DecimalsDividing numbers by a decimal fraction
Objective: On completion of the lesson the student will be able to divide numbers by a decimal fraction.
40PercentagesIntroduction to percentages, including relating common fractions to percentages
Objective: On completion of the lesson the student will be able to recognise that the symbol % means ‘per cent’ and relate common fractions to a percentage.
41PercentagesChanging fractions and decimals to percentages using tenths and hundredths
Objective: On completion of the lesson the student will be able to change simple fractions to percentages and decimals to percentages by using place value conversion.
42PercentagesChanging percentages to fractions and decimals
Objective: On completion of the lesson the student will be able to change percentages to fractions and know how to change percentages to decimals.
43PercentagesOne quantity as a percentage of another
Objective: On completion of the lesson the student will be able to find a percentage of an amount and how to express one quantity as a percentage of another.
44PercentagesCalculating Percentages and Fractions of Quantities
Objective: To find percentages and fractions of quantities and solve problems with percentages
45Lines and anglesDescribing position.
Objective: On completion of the lesson the student will be able to use and understand conventional location language to describe position.
46Lines and anglesMapping and grid references
Objective: On completion of the lesson the student will be able to identify specific places on a map and use regions on a grid to locate objects or places.
47Lines and anglesMain and intermediate compass points
Objective: On completion of the lesson the student will be able to use main and intermediate compass points to specify location.
48Lines and anglesInformal coordinate system
Objective: On completion of the lesson the student will be able to use an informal coordinate system to specify location, and locate coordinate points on grid paper.
49DataPictograms
Objective: On completion of the lesson the student will be able to organise, read and summarise information in picture graphs.
50DataBar Charts
Objective: On completion of the lesson the student will be able to organise, read and summarise information in column graphs.
51DataLine graphs.
Objective: On completion of the lesson the student will be able to organise, read and summarise information in line graphs.
52DataPie and bar graphs.
Objective: On completion of the lesson the student will be able to organise, read and summarise information in pie and bar graphs.
53AreaProblems with area.
Objective: On completion of the lesson the student will be able to solve problems with area.
54Volume/capacityProblems with volume/capacity.
Objective: Problem Solving: problems involving volume/capacity
55Surface areaSurface area of a cube/rectangular prism.
Objective: On completion of the lesson the student will be able calculate the surface area of a number of different shapes by applying the appropriate formula.
56Surface areaSurface area of a triangular/trapezoidal prism.
Objective: On completion of the lesson the student will be able calculate the surface area of a number of triangular and trapezoidal shapes by applying the appropriate formula.
57Surface areaSurface area of a cylinder and sphere.
Objective: On completion of the lesson the student will be able calculate the surface area of different cylindrical and spherical shapes by applying the appropriate formula.
58Surface areaSurface area of pyramids
Objective: On completion of the lesson the student will be able to find the surface areas of pyramids.
59Surface areaSurface area of cones
Objective: On completion of the lesson the student will be able to find the surface areas of cones by finding the area or the base ‘p r . ‘and the area of the curved surface ‘ p r l’. The student will also be able to find the slant height ‘l’ given the perpendicul
60Surface areaSurface area of composite solids
Objective: On completion of the lesson the student will be able to find the surface areas of Composite solids.
61Algebraic expressionsAlgebraic expressions.
Objective: On completion of the lesson the student will understand some of the short cuts used in writing algebraic expressions, and the student will be able to write algebraic expressions down in a way that is easier to understand.
62Algebraic expressionsSubstitution into algebraic expressions.
Objective: On completion of the lesson the student will be able to replace pronumerals with numbers, and then perform the correct operations.
63Algebraic expressionsDirected numbers: addition and subtraction.
Objective: On completion of the lesson the student will be able to add and subtract positive and negative numbers in any combination, and understand adding and subtracting positive and negative pronumerals.
64Algebraic expressionsDirected numbers: multiplication and division.
Objective: On completion of the lesson the student will understand which combinations of signs produce a positive answer and which ones produce a negative answer.
65Algebraic expressionsSimplifying algebraic expressions: adding like terms.
Objective: On completion of the lesson the student will be able to simplify and evaluate numerical expressions containing patterns, and be able to simplify algebraic expressions that contain like terms.
66Algebraic expressionsSimplifying algebraic Expressions: subtracting like terms.
Objective: On completion of the lesson the student will be able to recognise the difference between like and unlike terms, and be able to simplify an expression using subtraction.
67Algebraic expressionsSimplifying Algebraic expressions: combining addition and subtraction.
Objective: On completion of the lesson the student will understand how to approach algebraic expressions questions and avoid the most common mistakes.
68Algebraic expressionsSimplifying algebraic expressions: multiplication
Objective: On completion of the lesson the student will be able to simplify expressions involving multiplication of pronumerals and write them in the simplest form.
69Algebraic expressionsSimplifying algebraic expressions: division
Objective: On completion of the lesson the student will be able to use all the operations needed for simplifying algebraic expressions.
70Algebraic expressionsExpanding algebraic expressions: multiplication
Objective: On completion of the lesson the student will be able mentally to multiply and remove parentheses from simple algebraic expressions in one step.
71Algebraic expressionsExpanding algebraic expressions: negative multiplier
Objective: On completion of the lesson the student will be able to expand expressions using a negative multiplier.
72Algebraic expressionsExpanding and simplifying algebraic expressions
Objective: On completion of the lesson the student will be familiar with expanding and simplifying algebraic expressions.
73Algebraic equationsSolving equations containing addition and subtraction
Objective: On completion of the lesson the student will understand how solve simple equations involving addition and subtraction by moving everything but the pronumeral onto one side of the equation, leaving the pronumeral by itself on the other side.
74Algebraic equationsSolving equations containing multiplication and division
Objective: On completion of the lesson the student will be able to solve simple equations involving all operations.
75Algebraic equationsSolving two step equations
Objective: On completion of the lesson the student will be able to solve two step equations.
76Algebraic equationsSolving equations containing binomial expressions
Objective: On completion of the lesson the student will be able to move terms in binomial equations.
77Algebraic equationsEquations involving grouping symbols.
Objective: On completion of the lesson the student will be able to solve equations using grouping symbols
78Algebraic equationsEquations involving fractions.
Objective: On completion of the lesson the student will know how to solve equations using fractions.
79Algebra- formulaeEquations resulting from substitution into formulae.
Objective: On completion of the lesson the student will be able to substitute into formulae and then solve the resulting equations.
80Algebra- formulaeChanging the subject of the formula.
Objective: On completion of the lesson the student will be able to move pronumerals around an equation using all the rules and operations covered previously.
81Algebra-inequalitiesSolving Inequalities.
Objective: On completion of the lesson the student will understand the ‘greater than’ and ‘less than’ signs, and be able to perform simple inequalities.
82Algebra-factorisingSimplifying easy algebraic fractions.
Objective: On completion of the lesson the student will understand how to simplify algebraic fractions by factorising.
83Algebraic fractionsSimplifying algebraic fractions using the index laws.
Objective: On completion of the lesson the student will be able to simplify most algebraic fractions using different methodologies.
84Algebra-negative indicesAlgebraic fractions resulting in negative indices.
Objective: On completion of the lesson the student will be able to understand how to simplify an algebraic fractional expression with a negative index, and also how to write such an expression without a negative index.
85FactorisationFactorisation of algebraic fractions including binomials.
Objective: On completion of the lesson the student should be able to simplify more complex algebraic fractions using a variety of methods.
86Algebraic fractions-binomialCancelling binomial factors in algebraic fractions.
Objective: On completion of the lesson the student should be able to factorise binomials to simplify fractions.
87Rules for indices/exponentsAdding indices when multiplying terms with the same base
Objective: On completion of the lesson the student will know how to use the index law of addition of powers when multiplying terms with the same base.
88Rules for indices/exponentsSubtracting indices when dividing terms with the same base
Objective: On completion of the lesson the student will know how to use the index law of subtraction of powers when dividing terms with the same base.
89Rules for indices/exponentsMultiplying indices when raising a power to a power
Objective: On completion of the lesson the student will use the law of multiplication of indices when raising a power to a power.
90Rules for indices/exponentsMultiplying indices when raising to more than one term
Objective: On completion of the lesson the student will be able to use the law of multiplication of indices when raising more than one term to the same power.
91Rules for indices/exponentsTerms raised to the power of zero
Objective: On completion of the lesson the student will learn how to evaluate or simplify terms that are raised to the power of zero.
92Rules for indices/exponentsNegative Indices
Objective: On completion of the lesson the student will know how to evaluate or simplify expressions containing negative indices.
93Fractional indices/exponentsFractional indices
Objective: On completion of the lesson the student will know how to evaluate or simplify expressions containing fractional indices.
94Fractional indices/exponentsComplex fractions as indices
Objective: On completion of the lesson the student will know how to evaluate or simplify expressions containing complex fractional indices.
95Significant figuresSignificant figures
Objective: On completion of the lesson the student will be able to observe how many significant figures are in a number and how to express a number to a certain level of significant figures.
96Geometry-anglesMeasuring angles
Objective: On completion of the lesson the student will be able to measure any angle between 0 and 360 degrees using a protractor, and identify what type of angle it is.
97Geometry-anglesAdjacent angles
Objective: On completion of the lesson the student will be able to understand the parts of an angle, what adjacent angles are and how they are used to solve simple angle problems.
98Geometry-anglesComplementary and supplementary angles
Objective: On completion of the lesson the student will able to identify Complementary and Supplementary Angles and use this knowledge to solve simple geometric angle problems.
99Geometry-anglesVertically opposite angles
Objective: On completion of the lesson the student will able to identify Vertically Opposite Angles and use this knowledge to solve simple geometric angle problems.
100Geometry-anglesAngles at a Point.
Objective: On completion of the lesson the student will able to identify Angles at a Point and use this knowledge and other angles concepts to solve simple geometric angle problems.
101Geometry-anglesParallel Lines.
Objective: On completion of the lesson the student will able to identify corresponding, co-interior and alternate angles.
102Geometry-problemsAdditional questions involving parallel lines
Objective: On completion of the lesson the student will able to complete two step parallel line questions, and identify other ways to solve them.
103Geometry-trianglesAngle sum of a triangle
Objective: On completion of the lesson the student will able to identify and use the angle sum of a triangle theorem to solve geometric problems.
104Geometry-trianglesExterior angle theorem
Objective: On completion of the lesson the student will able to identify and use the exterior angle of a triangle theorem to solve geometric questions.
105Special trianglesSpecial triangles
Objective: On completion of the lesson the student will able to identify an equilateral and an isosceles triangle and solve geometry questions involving these triangles.
106Geometry-quadrilateralsQuadrilaterals
Objective: On completion of the lesson the student will able to find missing angles by using the fact that a quadrilateral’s angle sum is 360 degrees.
107Geometry-constructionsGeometric constructions
Objective: On completion of the lesson the student will able complete constructions with a ruler and a pair of compasses.
108Geometry problemsMore difficult exercises involving parallel lines
Objective: On completion of the lesson the student will able to identify corresponding, co-interior and alternate angles in questions that are more difficult than previously completed. Students will also learn to use other geometric properties as well as set out log
109Geometry-reasoningFurther difficult exercises involving formal reasoning
Objective: On completion of the lesson the student will be able to identify which geometric properties are needed to complete a question and be able to use formal reasoning to write out this information.
110Geometry-polygonsAngles of regular polygons
Objective: On completion of the lesson the student will be able to identify and use the angle sum of a polygon formula, and understand that the external angles of a polygon add up to 360 degrees.
111Similar trianglesSimilar triangles
Objective: On completion of the lesson the student will be able to identify which test to use to show two triangles are similar.
112Similar trianglesUsing similar triangles to calculate lengths
Objective: On completion of the lesson the student will be able to calculate lengths using similar triangles.
113Overlapping trianglesExamples involving overlapping triangles
Objective: On completion of the lesson the student will be able to calculate unknown sides in overlapping or adjacent similar triangles.
114Simultaneous equnsSimultaneous equations
Objective: On completion of the lesson the student will be able to solve 2 equations with 2 unknown variables by the substitution method.
115Simultaneous equnsElimination method
Objective: On completion of the lesson the student will be able to solve 2 equations with 2 unknown variables by the elimination method.
116Simultaneous equnsElimination method part 2
Objective: On completion of the lesson the student will be able to solve all types of simultaneous equations with 2 unknown variables by the elimination method.
117Simultaneous equnsApplications of simultaneous equations
Objective: On completion of this lesson the student will be able to derive simultaneous equations from a given problem and then solve those simultaneous equations.
118Geometry-circlesThe equation of a circle: to find radii of circles
Objective: On completion of the lesson the student will be able to describe a circle mathematically given its equation or its graph. Additionally, the student will be able to work out the equation of a circle given its centre and radius.
119Geometry-circlesThe semicircle: to select the equation given the semi circle and vice versa
Objective: On completion of the lesson the student will be able to sketch a semicircle given its equation and derive the equation of a given semicircle.
120Functions and graphsGraphing perfect squares: y=(a-x) squared
Objective: On completion of the lesson the student will be able to analyse a curve and then check their work by graphing the curve.
121FactorisingExpansions leading to the difference of two squares
Objective: On completion of the lesson the student will understand expansions leading to differences of 2 squares.
122Algebraic expressions-productsProducts in simplification of algebraic expressions
Objective: On completion of the lesson the student will understand simplification of algebraic expressions in step-by-step processing.
123Algebraic expressions-larger expansionsAlgebraic Expressions – Larger expansions.
Objective: On completion of the lesson the student will be capable of expanding larger algebraic expressions.
124Algebra-highest common factorHighest common factor.
Objective: On completion of the lesson the student will be capable of turning a simple algebraic expression into the product of a factor in parentheses and identifying the highest common factors of the whole expression.
125Factors by groupingFactors by grouping.
Objective: On completion of the lesson the student will be able to complete the process given just two factors for the whole expression.
126Difference of 2 squaresDifference of two squares
Objective: On completion of the lesson the student understand the difference of two squares and be capable of recognising the factors.
127Common fact and diffCommon factor and the difference of two squares
Objective: On completion of the lesson the student will be aware of common factors and recognise the difference of two squares.
128Quadratic trinomialsQuadratic trinomials [monic] – Case 1.
Objective: On completion of the lesson the student will understand the factorisation of quadratic trinomial equations with all terms positive.
129Statistic-probabilityThe mode
Objective: On completion of the lesson the student will understand how to find the mode from raw data, a frequency distribution table and polygon.
130Statistic-probabilityThe mean
Objective: On completion of the lesson the student will be able to calculate means from raw data and from a frequency table using an fx column.
131Statistic-probabilityThe median
Objective: On completion of the lesson the student will be able to determine the median of a set of raw scores
132Statistic-probabilityCumulative frequency
Objective: On completion of the lesson the student will be able to construct cumulative frequency columns, histograms and polygons.
133Statistic-probabilityCalculating the median from a frequency distribution
Objective: On completion of the lesson the student will be able to determine the median from a cumulative frequency polygon.
134Statistic-probabilityProbability of Simple Events
Objective: On completion of the lesson the student will be able to understand the probability of simple events.
135Statistic-probabilityRolling a pair of dice
Objective: On completion of the lesson the student will be capable of ascertaining the probability of certain results when 2 dice are thrown simultaneously.
136Statistic-probabilityExperimental probability
Objective: On completion of this lesson the student will be able to find the probabilities in an experimental trial.
137TranslationsTransformations – reflections
Objective: On completion of the lesson the student will be able to take a pre-image and using the appropriate techniques, accurately show its image after reflection.
138Sequences and Series-Compound interestCompound interest
Objective: On completion of the G.P. lesson the student will understand the compound interest formula and how to use it and adjust the values of r and n, if required, for different compounding periods.
139Sequences and Series-SuperannuationSuperannuation.
Objective: On completion of the lesson the student will understand the method of finding the accumulated amount of a superannuation investment using the sum formula for a G.P.
140Sequences and Series-Time paymentsTime payments.
Objective: On completion of the lesson the student will have examined examples carefully and be capable of setting out the long method of calculating a regular payment for a reducible interest loan.
141ExamExam – Year 10
Objective: Exam
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Year 11 Mathematics

#TOPICTITLE
1Study PlanStudy plan – Year 11
Objective: On completion of the course formative assessment a tailored study plan is created identifying the lessons requiring revision.
2FractionsUsing fractions 1/2, 1/4, 1/8 to describe part of a whole
Objective: On completion of the lesson the student will be able to: name fractions, and use fractions to describe equal parts of a whole.
3FractionsUsing fractions 1/2, 1/4, 1/8 to describe parts of a group or collection
Objective: On completion of the lesson the student will be able to use the fractions to describe equal parts of a collection of objects.
4FractionsComparing and ordering fractions
Objective: On completion of the lesson the student will be able to compare and order fractions with the same number of equal parts, and compare and order fractions with a different number of equal parts.
5Fractionsmixed numbers (mixed numerals)
Objective: On completion of the lesson the student will be able to: name and recognise mixed numbers (mixed numerals), count by halves and quarters, and use a number line to represent halves and quarters beyond one.
6FractionsImproper fractions
Objective: On completion of the lesson the student will be able to: use diagrams and number lines to recognise and represent mixed numbers and improper fractions, and develop strategies for changing improper fractions to mixed numbers and vice versa, mentally.
7FractionsFractions 1/5, 1/10, 1/100
Objective: On completion of the lesson the student will be able to: compare fractions with the denominators 5, 10, 100, and represent fractions with the denominator 5, 10, 100.
8FractionsFinding equivalent fractions
Objective: On completion of the lesson the student will be able to name and find fractions that represent equal amounts between halves, quarters and eighths – using diagrams and number lines.
9FractionsMultiplying and dividing to obtain equivalent fractions
Objective: On completion of the lesson the student will be able to: obtain equivalent fractions using a number line or diagram, develop mental strategies to obtain equivalent fractions, and reduce a fraction to its lowest equivalent form.
10FractionsReducing fractions to lowest equivalent form
Objective: On completion of the lesson the student will be able to reduce a fraction to its lowest equivalent form by dividing the numerator and denominator by a common factor.
11FractionsComparing and ordering fractions greater than (>) 1
Objective: On completion of the lesson the student will be able to use diagrams, number lines and equivalent fractions to compare and order fractions greater than (>) one.
12FractionsSubtracting fractions from whole numbers
Objective: On completion of the lesson the student will be able to: use a diagram to subtract fractions from a whole number, develop mental strategies for subtracting fractions from whole numbers, and recognise and use the written form for subtracting fractions from
13FractionsAdding and subtracting fractions with the same denominator
Objective: On completion of the lesson the student will be able to add and subtract fractions with the same denominator.
14FractionsAdding and subtracting fractions with different denominators
Objective: On completion of the lesson the student will be able to add and subtract fractions where one denominator is a multiple of the other.
15FractionsMultiplying fractions by whole numbers
Objective: On completion of the lesson the student will be able to multiply simple fractions by whole numbers.
16FractionsFractions of whole numbers
Objective: On completion of the lesson the student will be able to calculate unit fractions of a collection.
17FractionsMultiplying fractions
Objective: On completion of the lesson the student will be able to multiply fractions and reduce the answer to its lowest form.
18FractionsMultiplying mixed numbers (mixed numerals)
Objective: On completion of the lesson the student will be able to multiply mixed numbers (mixed numerals) and reduce the answer to its lowest form.
19FractionsFinding reciprocals of fractions and mixed numbers (mixed numerals)
Objective: On completion of the lesson the student will be able to find the reciprocals of fractions and mixed numbers (mixed numerals).
20FractionsDividing fractions
Objective: On completion of the lesson the student will be able to divide fractions.
21FractionsDividing mixed numbers (mixed numerals)
Objective: On completion of the lesson the student will be able to divide mixed numbers (mixed numerals).
22Rules propertiesUsing Order of Operation procedures (BIDMAS) with Fractions
Objective: On completion of the lesson the student will know how to apply the order of operations rules to simplify expressions with integers and fractions.
23DecimalsIntroduction to decimals
Objective: On completion of the lesson the student will be able to represent decimals to two decimal places.
24DecimalsComparing and ordering decimals to two decimal places
Objective: On completion of the lesson the student will be able to compare and order decimals to two decimal places and understand decimal notation to two places.
25DecimalsDecimals with whole numbers 10th and 100th
Objective: On completion of the lesson the student will be able to use and understand place value to show whole numbers, tenths and hundredths as decimals.
26DecimalsAdding decimals to two decimal places
Objective: On completion of the lesson the student will be able to add decimals with the same number of decimal places (to two decimal places)
27DecimalsSubtracting decimals to two decimal places
Objective: On completion of the lesson the student will be able to subtract decimals with the same number of decimal places (to two decimal places)
28DecimalsUsing decimals – shopping problems
Objective: On completion of the lesson the student will be able to: read and interpret problems involving money, interpret the everyday use of decimals, and perform calculations with money.
29DecimalsUsing decimals to record length
Objective: On completion of the lesson the student will be able to interpret the everyday use of fractions and decimals and use their knowledge of decimals to record measurements.
30DecimalsRounding decimals
Objective: On completion of the lesson the student will be able to round a number with one or two decimal places to the nearest whole number.
31DecimalsDecimals to three decimal places
Objective: On completion of the lesson the student will be able to express thousandths as a decimal and interpret decimal notation for thousandths.
32DecimalsAdding decimals with a different number of decimal places
Objective: On completion of the lesson the student will be able to add decimal numbers with different numbers of decimal places.
33DecimalsSubtracting decimals with a different number of places
Objective: On completion of the lesson the student will be able to subtract decimals with different numbers of decimal places.
34DecimalsMultiplying decimals by 10, 100 and 1000
Objective: On completion of the lesson the student will be able to multiply decimal numbers by one hundred and recognise the pattern formed when decimals are multiplied by ten, one hundred and one thousand.
35DecimalsMultiplying decimals by whole numbers
Objective: On completion of the lesson the student will be able to multiply decimals by whole numbers.
36DecimalsMultiplication of decimals by decimals to two decimal places
Objective: On completion of the lesson the student will be able to multiply decimals to two digits.
37DecimalsDividing decimals by 10, 100 and 1000
Objective: On completion of the lesson the student will be able to divide decimal numbers by one hundred and recognise the pattern formed when decimals are divided by ten, one hundred and one thousand.
38DecimalsDividing decimal fractions by whole numbers
Objective: On completion of the lesson the student will be able to divide decimal fractions by whole numbers.
39DecimalsDividing numbers by a decimal fraction
Objective: On completion of the lesson the student will be able to divide numbers by a decimal fraction.
40PercentagesIntroduction to percentages, including relating common fractions to percentages
Objective: On completion of the lesson the student will be able to recognise that the symbol % means ‘per cent’ and relate common fractions to a percentage.
41PercentagesChanging fractions and decimals to percentages using tenths and hundredths
Objective: On completion of the lesson the student will be able to change simple fractions to percentages and decimals to percentages by using place value conversion.
42PercentagesChanging percentages to fractions and decimals
Objective: On completion of the lesson the student will be able to change percentages to fractions and know how to change percentages to decimals.
43PercentagesOne quantity as a percentage of another
Objective: On completion of the lesson the student will be able to find a percentage of an amount and how to express one quantity as a percentage of another.
44PercentagesCalculating Percentages and Fractions of Quantities
Objective: To find percentages and fractions of quantities and solve problems with percentages
45Lines and anglesDescribing position.
Objective: On completion of the lesson the student will be able to use and understand conventional location language to describe position.
46Lines and anglesMapping and grid references
Objective: On completion of the lesson the student will be able to identify specific places on a map and use regions on a grid to locate objects or places.
47Lines and anglesMain and intermediate compass points
Objective: On completion of the lesson the student will be able to use main and intermediate compass points to specify location.
48Lines and anglesInformal coordinate system
Objective: On completion of the lesson the student will be able to use an informal coordinate system to specify location, and locate coordinate points on grid paper.
49DataPictograms
Objective: On completion of the lesson the student will be able to organise, read and summarise information in picture graphs.
50DataBar Charts
Objective: On completion of the lesson the student will be able to organise, read and summarise information in column graphs.
51DataLine graphs.
Objective: On completion of the lesson the student will be able to organise, read and summarise information in line graphs.
52DataPie and bar graphs.
Objective: On completion of the lesson the student will be able to organise, read and summarise information in pie and bar graphs.
53AreaProblems with area.
Objective: On completion of the lesson the student will be able to solve problems with area.
54Volume/capacityProblems with volume/capacity.
Objective: Problem Solving: problems involving volume/capacity
55Surface areaSurface area of a cube/rectangular prism.
Objective: On completion of the lesson the student will be able calculate the surface area of a number of different shapes by applying the appropriate formula.
56Surface areaSurface area of a triangular/trapezoidal prism.
Objective: On completion of the lesson the student will be able calculate the surface area of a number of triangular and trapezoidal shapes by applying the appropriate formula.
57Surface areaSurface area of a cylinder and sphere.
Objective: On completion of the lesson the student will be able calculate the surface area of different cylindrical and spherical shapes by applying the appropriate formula.
58Surface areaSurface area of pyramids
Objective: On completion of the lesson the student will be able to find the surface areas of pyramids.
59Surface areaSurface area of cones
Objective: On completion of the lesson the student will be able to find the surface areas of cones by finding the area or the base ‘p r . ‘and the area of the curved surface ‘ p r l’. The student will also be able to find the slant height ‘l’ given the perpendicul
60Surface areaSurface area of composite solids
Objective: On completion of the lesson the student will be able to find the surface areas of Composite solids.
61Algebraic expressionsAlgebraic expressions.
Objective: On completion of the lesson the student will understand some of the short cuts used in writing algebraic expressions, and the student will be able to write algebraic expressions down in a way that is easier to understand.
62Algebraic expressionsSubstitution into algebraic expressions.
Objective: On completion of the lesson the student will be able to replace pronumerals with numbers, and then perform the correct operations.
63Algebraic expressionsDirected numbers: addition and subtraction.
Objective: On completion of the lesson the student will be able to add and subtract positive and negative numbers in any combination, and understand adding and subtracting positive and negative pronumerals.
64Algebraic expressionsDirected numbers: multiplication and division.
Objective: On completion of the lesson the student will understand which combinations of signs produce a positive answer and which ones produce a negative answer.
65Algebraic expressionsSimplifying algebraic expressions: adding like terms.
Objective: On completion of the lesson the student will be able to simplify and evaluate numerical expressions containing patterns, and be able to simplify algebraic expressions that contain like terms.
66Algebraic expressionsSimplifying algebraic Expressions: subtracting like terms.
Objective: On completion of the lesson the student will be able to recognise the difference between like and unlike terms, and be able to simplify an expression using subtraction.
67Algebraic expressionsSimplifying Algebraic expressions: combining addition and subtraction.
Objective: On completion of the lesson the student will understand how to approach algebraic expressions questions and avoid the most common mistakes.
68Algebraic expressionsSimplifying algebraic expressions: multiplication
Objective: On completion of the lesson the student will be able to simplify expressions involving multiplication of pronumerals and write them in the simplest form.
69Algebraic expressionsSimplifying algebraic expressions: division
Objective: On completion of the lesson the student will be able to use all the operations needed for simplifying algebraic expressions.
70Algebraic expressionsExpanding algebraic expressions: multiplication
Objective: On completion of the lesson the student will be able mentally to multiply and remove parentheses from simple algebraic expressions in one step.
71Algebraic expressionsExpanding algebraic expressions: negative multiplier
Objective: On completion of the lesson the student will be able to expand expressions using a negative multiplier.
72Algebraic expressionsExpanding and simplifying algebraic expressions
Objective: On completion of the lesson the student will be familiar with expanding and simplifying algebraic expressions.
73Algebraic equationsSolving equations containing addition and subtraction
Objective: On completion of the lesson the student will understand how solve simple equations involving addition and subtraction by moving everything but the pronumeral onto one side of the equation, leaving the pronumeral by itself on the other side.
74Algebraic equationsSolving equations containing multiplication and division
Objective: On completion of the lesson the student will be able to solve simple equations involving all operations.
75Algebraic equationsSolving two step equations
Objective: On completion of the lesson the student will be able to solve two step equations.
76Algebraic equationsSolving equations containing binomial expressions
Objective: On completion of the lesson the student will be able to move terms in binomial equations.
77Algebraic equationsEquations involving grouping symbols.
Objective: On completion of the lesson the student will be able to solve equations using grouping symbols
78Algebraic equationsEquations involving fractions.
Objective: On completion of the lesson the student will know how to solve equations using fractions.
79Algebra- formulaeEquations resulting from substitution into formulae.
Objective: On completion of the lesson the student will be able to substitute into formulae and then solve the resulting equations.
80Algebra- formulaeChanging the subject of the formula.
Objective: On completion of the lesson the student will be able to move pronumerals around an equation using all the rules and operations covered previously.
81Algebra-inequalitiesSolving Inequalities.
Objective: On completion of the lesson the student will understand the ‘greater than’ and ‘less than’ signs, and be able to perform simple inequalities.
82Algebra-factorisingSimplifying easy algebraic fractions.
Objective: On completion of the lesson the student will understand how to simplify algebraic fractions by factorising.
83Algebraic fractionsSimplifying algebraic fractions using the index laws.
Objective: On completion of the lesson the student will be able to simplify most algebraic fractions using different methodologies.
84Algebra-negative indicesAlgebraic fractions resulting in negative indices.
Objective: On completion of the lesson the student will be able to understand how to simplify an algebraic fractional expression with a negative index, and also how to write such an expression without a negative index.
85FactorisationFactorisation of algebraic fractions including binomials.
Objective: On completion of the lesson the student should be able to simplify more complex algebraic fractions using a variety of methods.
86Algebraic fractions-binomialCancelling binomial factors in algebraic fractions.
Objective: On completion of the lesson the student should be able to factorise binomials to simplify fractions.
87Rules for indices/exponentsAdding indices when multiplying terms with the same base
Objective: On completion of the lesson the student will know how to use the index law of addition of powers when multiplying terms with the same base.
88Rules for indices/exponentsSubtracting indices when dividing terms with the same base
Objective: On completion of the lesson the student will know how to use the index law of subtraction of powers when dividing terms with the same base.
89Rules for indices/exponentsMultiplying indices when raising a power to a power
Objective: On completion of the lesson the student will use the law of multiplication of indices when raising a power to a power.
90Rules for indices/exponentsMultiplying indices when raising to more than one term
Objective: On completion of the lesson the student will be able to use the law of multiplication of indices when raising more than one term to the same power.
91Rules for indices/exponentsTerms raised to the power of zero
Objective: On completion of the lesson the student will learn how to evaluate or simplify terms that are raised to the power of zero.
92Rules for indices/exponentsNegative Indices
Objective: On completion of the lesson the student will know how to evaluate or simplify expressions containing negative indices.
93Fractional indices/exponentsFractional indices
Objective: On completion of the lesson the student will know how to evaluate or simplify expressions containing fractional indices.
94Fractional indices/exponentsComplex fractions as indices
Objective: On completion of the lesson the student will know how to evaluate or simplify expressions containing complex fractional indices.
95Significant figuresSignificant figures
Objective: On completion of the lesson the student will be able to observe how many significant figures are in a number and how to express a number to a certain level of significant figures.
96Geometry-anglesMeasuring angles
Objective: On completion of the lesson the student will be able to measure any angle between 0 and 360 degrees using a protractor, and identify what type of angle it is.
97Geometry-anglesAdjacent angles
Objective: On completion of the lesson the student will be able to understand the parts of an angle, what adjacent angles are and how they are used to solve simple angle problems.
98Geometry-anglesComplementary and supplementary angles
Objective: On completion of the lesson the student will able to identify Complementary and Supplementary Angles and use this knowledge to solve simple geometric angle problems.
99Geometry-anglesVertically opposite angles
Objective: On completion of the lesson the student will able to identify Vertically Opposite Angles and use this knowledge to solve simple geometric angle problems.
100Geometry-anglesAngles at a Point.
Objective: On completion of the lesson the student will able to identify Angles at a Point and use this knowledge and other angles concepts to solve simple geometric angle problems.
101Geometry-anglesParallel Lines.
Objective: On completion of the lesson the student will able to identify corresponding, co-interior and alternate angles.
102Geometry-problemsAdditional questions involving parallel lines
Objective: On completion of the lesson the student will able to complete two step parallel line questions, and identify other ways to solve them.
103Geometry-trianglesAngle sum of a triangle
Objective: On completion of the lesson the student will able to identify and use the angle sum of a triangle theorem to solve geometric problems.
104Geometry-trianglesExterior angle theorem
Objective: On completion of the lesson the student will able to identify and use the exterior angle of a triangle theorem to solve geometric questions.
105Special trianglesSpecial triangles
Objective: On completion of the lesson the student will able to identify an equilateral and an isosceles triangle and solve geometry questions involving these triangles.
106Geometry-quadrilateralsQuadrilaterals
Objective: On completion of the lesson the student will able to find missing angles by using the fact that a quadrilateral’s angle sum is 360 degrees.
107Geometry-constructionsGeometric constructions
Objective: On completion of the lesson the student will able complete constructions with a ruler and a pair of compasses.
108Geometry problemsMore difficult exercises involving parallel lines
Objective: On completion of the lesson the student will able to identify corresponding, co-interior and alternate angles in questions that are more difficult than previously completed. Students will also learn to use other geometric properties as well as set out log
109Geometry-reasoningFurther difficult exercises involving formal reasoning
Objective: On completion of the lesson the student will be able to identify which geometric properties are needed to complete a question and be able to use formal reasoning to write out this information.
110Geometry-polygonsAngles of regular polygons
Objective: On completion of the lesson the student will be able to identify and use the angle sum of a polygon formula, and understand that the external angles of a polygon add up to 360 degrees.
111Geometry-congruenceCongruent triangles, Test 1 and 2
Objective: On completion of the lesson the student will be able to identify which test to use to show two triangles are congruent.
112Geometry-congruenceCongruent triangles, Test 3 and 4
Objective: On completion of the lesson the student will be able to identify other tests to use to show two triangles are congruent.
113Geometry-congruenceProofs and congruent triangles.
Objective: On completion of the lesson the student will be able to set out a formal proof to show that two triangles are congruent.
114Similar trianglesSimilar triangles
Objective: On completion of the lesson the student will be able to identify which test to use to show two triangles are similar.
115Similar trianglesUsing similar triangles to calculate lengths
Objective: On completion of the lesson the student will be able to calculate lengths using similar triangles.
116Overlapping trianglesExamples involving overlapping triangles
Objective: On completion of the lesson the student will be able to calculate unknown sides in overlapping or adjacent similar triangles.
117Simultaneous equnsSimultaneous equations
Objective: On completion of the lesson the student will be able to solve 2 equations with 2 unknown variables by the substitution method.
118Simultaneous equnsElimination method
Objective: On completion of the lesson the student will be able to solve 2 equations with 2 unknown variables by the elimination method.
119Simultaneous equnsElimination method part 2
Objective: On completion of the lesson the student will be able to solve all types of simultaneous equations with 2 unknown variables by the elimination method.
120Simultaneous equnsApplications of simultaneous equations
Objective: On completion of this lesson the student will be able to derive simultaneous equations from a given problem and then solve those simultaneous equations.
121Geometry-circlesThe equation of a circle: to find radii of circles
Objective: On completion of the lesson the student will be able to describe a circle mathematically given its equation or its graph. Additionally, the student will be able to work out the equation of a circle given its centre and radius.
122Geometry-circlesThe semicircle: to select the equation given the semi circle and vice versa
Objective: On completion of the lesson the student will be able to sketch a semicircle given its equation and derive the equation of a given semicircle.
123Geometry-parabolaThe parabola: to describe properties of a parabola from its equation
Objective: On completion of the lesson the student will be able to predict the general shape and important features of a parabola and then graph the parabola to check the predictions.
124Functions and graphsQuadratic polynomials of the form y = ax. + bx + c.
Objective: On completion of the lesson the student will be able to predict the general shape of a parabola and verify the predictions by sketching the parabola. The student will also be introduced to the discriminant and the axis.
125Functions and graphsGraphing perfect squares: y=(a-x) squared
Objective: On completion of the lesson the student will be able to analyse a curve and then check their work by graphing the curve.
126Graphing rootsGraphing irrational roots
Objective: On completion of the lesson the student will be able to solve any polynomial which has real roots, whether they are rational or irrational.
127Graphing binomialsBinomial products.
Objective: On completion of the lesson the student will understand the term binomial product and be capable of expanding and simplifying an expression.
128Graphing binomialsBinomial products with negative multiplier
Objective: On completion of the lesson the student will understand specific terms and be prepared to expand and simplify different monic binomial products.
129Graphing binomialsBinomial products [non-monic].
Objective: On completion of the lesson, the student will have examined more complex examples with binomial products.
130FactorisingExpansions leading to the difference of two squares
Objective: On completion of the lesson the student will understand expansions leading to differences of 2 squares.
131Algebraic expressions-productsProducts in simplification of algebraic expressions
Objective: On completion of the lesson the student will understand simplification of algebraic expressions in step-by-step processing.
132Algebraic expressions-larger expansionsAlgebraic Expressions – Larger expansions.
Objective: On completion of the lesson the student will be capable of expanding larger algebraic expressions.
133Algebra-highest common factorHighest common factor.
Objective: On completion of the lesson the student will be capable of turning a simple algebraic expression into the product of a factor in parentheses and identifying the highest common factors of the whole expression.
134Factors by groupingFactors by grouping.
Objective: On completion of the lesson the student will be able to complete the process given just two factors for the whole expression.
135Difference of 2 squaresDifference of two squares
Objective: On completion of the lesson the student understand the difference of two squares and be capable of recognising the factors.
136Common fact and diffCommon factor and the difference of two squares
Objective: On completion of the lesson the student will be aware of common factors and recognise the difference of two squares.
137Quadratic trinomialsQuadratic trinomials [monic] – Case 1.
Objective: On completion of the lesson the student will understand the factorisation of quadratic trinomial equations with all terms positive.
138Factorising quadsFactorising quadratic trinomials [monic] – Case 2.
Objective: On completion of the lesson the student will accurately identify the process if the middle term of a quadratic trinomial is negative.
139Factorising quadsFactorising quadratic trinomials [monic] – Case 3.
Objective: On completion of the lesson the student will have an increased knowledge on factorising quadratic trinomials and will understand where the 2nd term is positive and the 3rd term is negative.
140Factorising quadsFactorising quadratic trinomials [monic] – Case 4.
Objective: On completion of the lesson the student will understand how to factorise all of the possible types of monic quadratic trinomials and specifcally where the 2nd term and 3rd terms are negative.
141Factorising quadsFactorisation of non-monic quadratic trinomials
Objective: On completion of the lesson the student will be capable of factorising any quadratic trinomial.
142Factorising quadsFactorisation of non-monic quadratic trinomials – moon method
Objective: On completion of the lesson the student know two methods for factorisation of quadratic trinomials including the cross method.
143Sum/diff 2 cubesSum and difference of two cubes.
Objective: On completion of the lesson the student will be cognisant of the sum and difference of 2 cubes and be capable of factorising them.
144Algebraic fractionsSimplifying algebraic fractions.
Objective: On completion of the lesson the student should be familiar with all of the factorisation methods presented to this point.
145Trigonometry-ratiosTrigonometric ratios.
Objective: On completion of the lesson the student will be able to identify the hypotenuse, adjacent and opposite sides for a given angle in a right angle triangle. The student will be able to label the side lengths in relation to a given angle e.g. the side c is op
146Trigonometry-ratiosUsing the calculator.
Objective: On completion of the lesson the student will be able to use the calculator to find values for the sine, cosine and tangent ratios of acute angles.
147Trigonometry-ratiosUsing the trigonometric ratios to find unknown length. [Case 1 Sine].
Objective: On completion of the lesson the student will be able to use the sine ratio to calculate lengths and distances.
148Trigonometry-ratiosUsing the trigonometric ratios to find unknown length. [Case 2 Cosine].
Objective: On completion of the lesson the student will be able to use the cosine ratio to find the length of the adjacent side of a right angle triangle.
149Trigonometry-ratiosUsing the trigonometric ratios to find unknown length. [Case 3 Tangent Ratio].
Objective: On completion of the lesson the student will be able to use the tangent ratio to calculate the length of the opposite side in a right angle triangle.
150Trigonometry-ratiosUnknown in the denominator. [Case 4].
Objective: On completion of the lesson the student will understand how to use the trig ratios to calculate lengths and distances when the denominator is unknown.
151Trigonometry-compassBearings – the compass.
Objective: On completion of the lesson the student will be able to identify compass bearings, compass bearings with acute angles and 3 figure bearings from true north.
152Trigonometry-elevationAngles of elevation and depression.
Objective: On completion of the lesson the student will be able to identify angles of depression and angles of elevation, and the relationship between them.
153Trigonometry-practicalTrigonometric ratios in practical situations.
Objective: On completion of the lesson the student will be able to use trigonometric ratios to solve problems involving compass bearings and angles of depression and elevation.
154Trigonometry-ratiosUsing the calculator to find an angle given a trigonometric ratio.
Objective: On completion of the lesson the student will be capable of using a calculator to find the value of an unknown angle when given a trigonometric ratio.
155Trigonometry- ratiosUsing the trigonometric ratios to find an angle in a right-angled triangle.
Objective: On completion of the lesson the student will be able to find the value of an unknown angle in a right angle triangle given the lengths of 2 of the sides.
156Trigonometry-exact ratiosTrigonometric ratios of 30., 45. and 60. – exact ratios.
Objective: On completion of the lesson the student will be able to find the exact sine, cosine and tangent ratios for the angles 30., 45.and 60.
157Trigonometry-cosine ruleThe cosine rule to find an unknown side. [Case 1 SAS].
Objective: On completion of the lesson the student will be able to use the cosine rule to find the length of an unknown side of a triangle knowing 2 sides and the included angle.
158Trigonometry-cosine ruleThe cosine rule to find an unknown angle. [Case 2 SSS].
Objective: On completion of the lesson the student will be able to find the size of an unknown angle of a triangle using the cosine rule given the lengths of the 3 sides.
159Trigonometry-sine ruleThe sine rule to find an unknown side. Case 1.
Objective: On completion of the lesson the student will be able to use the Sine rule to find the length of a particular side when the student is given the sizes of 2 of the angles and one of the sides.
160Trigonometry-sine ruleThe sine rule to find an unknown angle. Case 2.
Objective: On completion of the lesson the student will be able to use the sine rule to find an unknown angle when given 2 sides and a non-included angle.
161Trigonometry-areasThe area formula
Objective: On completion of the lesson the student will be able to use the sine formula for finding the area of a triangle given 2 sides and the included angle.
162Quadratic equationsIntroduction to quadratic equations.
Objective: On completion of the lesson the student will understand simple quadratic equations.
163Quadratic equationsQuadratic equations with factorisation.
Objective: On completion of the lesson the student will be able to find both roots of a quadratic equation by factorising.
164Quadratic equationsSolving quadratic equations.
Objective: On completion of the lesson the student will have gained more confidence in working with quadratic equations.
165Quadratic equationsCompleting the square
Objective: On completion of the lesson the student will understand the process of completing the square.
166Quadratic equationsSolving quadratic equations by completing the square
Objective: On completion of the lesson the student will understand the reasoning behind completing the square.
167Quadratic equationsThe quadratic formula
Objective: On completion of the lesson the student will be familiar with the quadratic formula.
168Quadratic equationsProblem solving with quadratic equations
Objective: On completion of the lesson the student will be able to express a problem as a quadratic equation and then solve it.
169Quadratic equationsSolving simultaneous quadratic equations graphically
Objective: On completion of the lesson the student will better understand why quadratic equations have two solutions and will be capable of solving quadratic equations and problems graphically..
170Coordinate Geometry-the planeDistance formula.
Objective: On completion of the lesson the student will be able to calculate the distance between any two points on the number plane and interpret the results.
171Coordinate Geometry-midpoint, slopeMid-point formula
Objective: On completion of the lesson the student will be able to understand the mid point formula and use it practically.
172Coordinate Geometry-gradientGradient
Objective: On completion of the lesson the student will be able to calculate the gradient of a line given its inclination, or angle to the positive direction of the x-axis; or its rise and run.
173Coordinate Geometry-gradientGradient formula.
Objective: On completion of the lesson the student will be able to calculate the gradient of a line given any two points on the line and also be capable of checking whether 3 or more points lie on the same line and what an unknown point will make to parallel lines.
174Coordinate Geometry-straight lineThe straight line.
Objective: On completion of the lesson the student will be able to draw a line which is parallel to either axis and comment on its gradient, where that gradient exists.
175Coordinate Geometry-slope, etc.Lines through the origin.
Objective: On completion of the lesson the student will be able to draw a line which passes through the origin of the form y=mx and comment on its gradient compared to the gradients of other lines through the origin and use the information to solve problems.
176Coordinate Geometry-equation of lineGeneral form of a line and the x and y Intercepts.
Objective: On completion of the lesson the student will be able to change the equation of a straight line from the form, written as y=mx+c, into the general form and vice versa.
177Coordinate Geometry-interceptSlope intercept form of a line.
Objective: On completion of the lesson the student will be able to find the slope and intercept given the equation and given the slope and intercept, derive the equation.
178Coordinate Geometry-point slopePoint slope form of a line
Objective: On completion of the lesson the student will understand how to derive the equation of a straight line given the gradient and a point on the line.
179StatisticsFrequency distribution table
Objective: On completion of the lesson the student will be able to construct a frequency distribution table for raw data and interpret the table.
180StatisticsFrequency histograms and polygons
Objective: On completion of the lesson the student will be able to construct and interpret frequency histograms and polygons.
181StatisticsRelative frequency
Objective: On completion of the lesson the student will be able to collect, display and make judgements about data.
182StatisticsThe range.
Objective: On completion of the lesson the student will be able to determine the range of data in either raw form or in a frequency distribution table.
183Statistic-probabilityThe mode
Objective: On completion of the lesson the student will understand how to find the mode from raw data, a frequency distribution table and polygon.
184Statistic-probabilityThe mean
Objective: On completion of the lesson the student will be able to calculate means from raw data and from a frequency table using an fx column.
185Statistic-probabilityThe median
Objective: On completion of the lesson the student will be able to determine the median of a set of raw scores
186Statistic-probabilityCumulative frequency
Objective: On completion of the lesson the student will be able to construct cumulative frequency columns, histograms and polygons.
187Statistic-probabilityCalculating the median from a frequency distribution
Objective: On completion of the lesson the student will be able to determine the median from a cumulative frequency polygon.
188Statistic-probabilityProbability of Simple Events
Objective: On completion of the lesson the student will be able to understand the probability of simple events.
189Statistic-probabilityRolling a pair of dice
Objective: On completion of the lesson the student will be capable of ascertaining the probability of certain results when 2 dice are thrown simultaneously.
190Statistic-probabilityExperimental probability
Objective: On completion of this lesson the student will be able to find the probabilities in an experimental trial.
191Statistic-probabilityTree diagrams – not depending on previous outcomes
Objective: On completion of the lesson the student will be confident in drawing tree diagrams to list outcomes of a multi stage probability problem and then finding probabilities of certain events not depending on previous outcomes.
192Statistic-probabilityTree diagrams – depending on previous outcomes
Objective: On completion of the lesson the student will be confident in drawing tree diagrams to list outcomes of other multi stage probability problems and then finding probabilities of certain events depending on previous outcomes.
193Statistic-probabilityThe complementary result ..
Objective: On completion of the lesson the student will be capable of ascertaining the probability of certain results where the complementary event is involved.
194Statistic-probabilityP[A or B] When A and B are both mutually and NOT mutually exclusive
Objective: On completion of this lesson the student will be able to distinguish between mutually exclusive and non mutually exclusive events and be able to find the probabilities of both.
195MatricesBasic concepts – Matrices
Objective: On completion of the lesson the student will have had an introduction to matrices
196MatricesAddition and subtraction of matrices
Objective: On completion of this lesson the student will be able to recognise when addition and subtraction of matrices is possible, and perform these operations.
197MatricesScalar matrix multiplication
Objective: On completion of this lesson the student will be able to perform scalar multiplication of a matrix.
198MatricesMultiplication of one matrix by another matrix
Objective: On completion of the lesson the student will be able to state whether matrix by matrix multiplication is possible, predict the order of the answer matrix, and then perform matrix by matrix multiplication.
199MatricesTranslation in the number plane
Objective: On completion of the lesson the student will be able to place ordered pairs into a matrix, then perform translation by addition using a transformation matrix, then extract ordered pairs from an answer matrix.
200MatricesTranslation by matrix multiplication
Objective: On completion of the lesson the student will be able to convert ordered pairs to elements of a matrix, multiply matrices together, where possible, and interpret the answer matrix on a number plane.
201TransformationsSpecial transformations – reflections, rotations and enlargements.
Objective: On completion of the lesson the student will be able to perform transformations: to rotate, reflect and change the size of various shapes and or points where applicable.
202Co-ordinate Geometry-InequalitiesInequalities on the number plane.
Objective: On completion of the lesson the student will be able to derive the expression for an inequality given its graph. The student will also be able to solve some problems using inequalities.
203Co-ordinate Geometry-TheoremsPerpendicular distance
Objective: On completion of the lesson the student will be able to derive the formula to calculate the distance between a given point and a given line. The student will also be able to calculate the distance between parallel lines.
204TranslationsTransformations – reflections
Objective: On completion of the lesson the student will be able to take a pre-image and using the appropriate techniques, accurately show its image after reflection.
205Sequences and Series-Compound interestCompound interest
Objective: On completion of the G.P. lesson the student will understand the compound interest formula and how to use it and adjust the values of r and n, if required, for different compounding periods.
206Sequences and Series-SuperannuationSuperannuation.
Objective: On completion of the lesson the student will understand the method of finding the accumulated amount of a superannuation investment using the sum formula for a G.P.
207Sequences and Series-Time paymentsTime payments.
Objective: On completion of the lesson the student will have examined examples carefully and be capable of setting out the long method of calculating a regular payment for a reducible interest loan.
208ExamExam – Year 11
Objective: Exam
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Year 12 Mathematics

#TOPICTITLE
1Study PlanStudy plan – Year 12
Objective: On completion of the course formative assessment a tailored study plan is created identifying the lessons requiring revision.
2Lines and anglesDescribing position.
Objective: On completion of the lesson the student will be able to use and understand conventional location language to describe position.
3Lines and anglesMapping and grid references
Objective: On completion of the lesson the student will be able to identify specific places on a map and use regions on a grid to locate objects or places.
4Lines and anglesMain and intermediate compass points
Objective: On completion of the lesson the student will be able to use main and intermediate compass points to specify location.
5Lines and anglesInformal coordinate system
Objective: On completion of the lesson the student will be able to use an informal coordinate system to specify location, and locate coordinate points on grid paper.
6Algebraic expressionsAlgebraic expressions.
Objective: On completion of the lesson the student will understand some of the short cuts used in writing algebraic expressions, and the student will be able to write algebraic expressions down in a way that is easier to understand.
7Algebraic expressionsSubstitution into algebraic expressions.
Objective: On completion of the lesson the student will be able to replace pronumerals with numbers, and then perform the correct operations.
8Algebraic expressionsDirected numbers: addition and subtraction.
Objective: On completion of the lesson the student will be able to add and subtract positive and negative numbers in any combination, and understand adding and subtracting positive and negative pronumerals.
9Algebraic expressionsDirected numbers: multiplication and division.
Objective: On completion of the lesson the student will understand which combinations of signs produce a positive answer and which ones produce a negative answer.
10Algebraic expressionsSimplifying algebraic expressions: adding like terms.
Objective: On completion of the lesson the student will be able to simplify and evaluate numerical expressions containing patterns, and be able to simplify algebraic expressions that contain like terms.
11Algebraic expressionsSimplifying algebraic Expressions: subtracting like terms.
Objective: On completion of the lesson the student will be able to recognise the difference between like and unlike terms, and be able to simplify an expression using subtraction.
12Algebraic expressionsSimplifying Algebraic expressions: combining addition and subtraction.
Objective: On completion of the lesson the student will understand how to approach algebraic expressions questions and avoid the most common mistakes.
13Algebraic expressionsSimplifying algebraic expressions: multiplication
Objective: On completion of the lesson the student will be able to simplify expressions involving multiplication of pronumerals and write them in the simplest form.
14Algebraic expressionsSimplifying algebraic expressions: division
Objective: On completion of the lesson the student will be able to use all the operations needed for simplifying algebraic expressions.
15Algebraic expressionsExpanding algebraic expressions: multiplication
Objective: On completion of the lesson the student will be able mentally to multiply and remove parentheses from simple algebraic expressions in one step.
16Algebraic expressionsExpanding algebraic expressions: negative multiplier
Objective: On completion of the lesson the student will be able to expand expressions using a negative multiplier.
17Algebraic expressionsExpanding and simplifying algebraic expressions
Objective: On completion of the lesson the student will be familiar with expanding and simplifying algebraic expressions.
18Algebraic equationsSolving equations containing addition and subtraction
Objective: On completion of the lesson the student will understand how solve simple equations involving addition and subtraction by moving everything but the pronumeral onto one side of the equation, leaving the pronumeral by itself on the other side.
19Algebraic equationsSolving equations containing multiplication and division
Objective: On completion of the lesson the student will be able to solve simple equations involving all operations.
20Algebraic equationsSolving two step equations
Objective: On completion of the lesson the student will be able to solve two step equations.
21Algebraic equationsSolving equations containing binomial expressions
Objective: On completion of the lesson the student will be able to move terms in binomial equations.
22Algebraic equationsEquations involving grouping symbols.
Objective: On completion of the lesson the student will be able to solve equations using grouping symbols
23Algebraic equationsEquations involving fractions.
Objective: On completion of the lesson the student will know how to solve equations using fractions.
24Algebra- formulaeEquations resulting from substitution into formulae.
Objective: On completion of the lesson the student will be able to substitute into formulae and then solve the resulting equations.
25Algebra- formulaeChanging the subject of the formula.
Objective: On completion of the lesson the student will be able to move pronumerals around an equation using all the rules and operations covered previously.
26Algebra-inequalitiesSolving Inequalities.
Objective: On completion of the lesson the student will understand the ‘greater than’ and ‘less than’ signs, and be able to perform simple inequalities.
27Algebra-factorisingSimplifying easy algebraic fractions.
Objective: On completion of the lesson the student will understand how to simplify algebraic fractions by factorising.
28Algebraic fractionsSimplifying algebraic fractions using the index laws.
Objective: On completion of the lesson the student will be able to simplify most algebraic fractions using different methodologies.
29Algebra-negative indicesAlgebraic fractions resulting in negative indices.
Objective: On completion of the lesson the student will be able to understand how to simplify an algebraic fractional expression with a negative index, and also how to write such an expression without a negative index.
30FactorisationFactorisation of algebraic fractions including binomials.
Objective: On completion of the lesson the student should be able to simplify more complex algebraic fractions using a variety of methods.
31Algebraic fractions-binomialCancelling binomial factors in algebraic fractions.
Objective: On completion of the lesson the student should be able to factorise binomials to simplify fractions.
32Rules for indices/exponentsAdding indices when multiplying terms with the same base
Objective: On completion of the lesson the student will know how to use the index law of addition of powers when multiplying terms with the same base.
33Rules for indices/exponentsSubtracting indices when dividing terms with the same base
Objective: On completion of the lesson the student will know how to use the index law of subtraction of powers when dividing terms with the same base.
34Rules for indices/exponentsMultiplying indices when raising a power to a power
Objective: On completion of the lesson the student will use the law of multiplication of indices when raising a power to a power.
35Rules for indices/exponentsMultiplying indices when raising to more than one term
Objective: On completion of the lesson the student will be able to use the law of multiplication of indices when raising more than one term to the same power.
36Rules for indices/exponentsTerms raised to the power of zero
Objective: On completion of the lesson the student will learn how to evaluate or simplify terms that are raised to the power of zero.
37Rules for indices/exponentsNegative Indices
Objective: On completion of the lesson the student will know how to evaluate or simplify expressions containing negative indices.
38Fractional indices/exponentsFractional indices
Objective: On completion of the lesson the student will know how to evaluate or simplify expressions containing fractional indices.
39Fractional indices/exponentsComplex fractions as indices
Objective: On completion of the lesson the student will know how to evaluate or simplify expressions containing complex fractional indices.
40Significant figuresSignificant figures
Objective: On completion of the lesson the student will be able to observe how many significant figures are in a number and how to express a number to a certain level of significant figures.
41Geometry-anglesMeasuring angles
Objective: On completion of the lesson the student will be able to measure any angle between 0 and 360 degrees using a protractor, and identify what type of angle it is.
42Geometry-anglesAdjacent angles
Objective: On completion of the lesson the student will be able to understand the parts of an angle, what adjacent angles are and how they are used to solve simple angle problems.
43Geometry-anglesComplementary and supplementary angles
Objective: On completion of the lesson the student will able to identify Complementary and Supplementary Angles and use this knowledge to solve simple geometric angle problems.
44Geometry-anglesVertically opposite angles
Objective: On completion of the lesson the student will able to identify Vertically Opposite Angles and use this knowledge to solve simple geometric angle problems.
45Geometry-anglesAngles at a Point.
Objective: On completion of the lesson the student will able to identify Angles at a Point and use this knowledge and other angles concepts to solve simple geometric angle problems.
46Geometry-anglesParallel Lines.
Objective: On completion of the lesson the student will able to identify corresponding, co-interior and alternate angles.
47Geometry-problemsAdditional questions involving parallel lines
Objective: On completion of the lesson the student will able to complete two step parallel line questions, and identify other ways to solve them.
48Geometry-trianglesAngle sum of a triangle
Objective: On completion of the lesson the student will able to identify and use the angle sum of a triangle theorem to solve geometric problems.
49Geometry-trianglesExterior angle theorem
Objective: On completion of the lesson the student will able to identify and use the exterior angle of a triangle theorem to solve geometric questions.
50Special trianglesSpecial triangles
Objective: On completion of the lesson the student will able to identify an equilateral and an isosceles triangle and solve geometry questions involving these triangles.
51Geometry-quadrilateralsQuadrilaterals
Objective: On completion of the lesson the student will able to find missing angles by using the fact that a quadrilateral’s angle sum is 360 degrees.
52Geometry-constructionsGeometric constructions
Objective: On completion of the lesson the student will able complete constructions with a ruler and a pair of compasses.
53Geometry problemsMore difficult exercises involving parallel lines
Objective: On completion of the lesson the student will able to identify corresponding, co-interior and alternate angles in questions that are more difficult than previously completed. Students will also learn to use other geometric properties as well as set out log
54Geometry-reasoningFurther difficult exercises involving formal reasoning
Objective: On completion of the lesson the student will be able to identify which geometric properties are needed to complete a question and be able to use formal reasoning to write out this information.
55Geometry-polygonsAngles of regular polygons
Objective: On completion of the lesson the student will be able to identify and use the angle sum of a polygon formula, and understand that the external angles of a polygon add up to 360 degrees.
56Geometry-congruenceCongruent triangles, Test 1 and 2
Objective: On completion of the lesson the student will be able to identify which test to use to show two triangles are congruent.
57Geometry-congruenceCongruent triangles, Test 3 and 4
Objective: On completion of the lesson the student will be able to identify other tests to use to show two triangles are congruent.
58Geometry-congruenceProofs and congruent triangles.
Objective: On completion of the lesson the student will be able to set out a formal proof to show that two triangles are congruent.
59Similar trianglesSimilar triangles
Objective: On completion of the lesson the student will be able to identify which test to use to show two triangles are similar.
60Similar trianglesUsing similar triangles to calculate lengths
Objective: On completion of the lesson the student will be able to calculate lengths using similar triangles.
61Overlapping trianglesExamples involving overlapping triangles
Objective: On completion of the lesson the student will be able to calculate unknown sides in overlapping or adjacent similar triangles.
62Simultaneous equnsSimultaneous equations
Objective: On completion of the lesson the student will be able to solve 2 equations with 2 unknown variables by the substitution method.
63Simultaneous equnsElimination method
Objective: On completion of the lesson the student will be able to solve 2 equations with 2 unknown variables by the elimination method.
64Simultaneous equnsElimination method part 2
Objective: On completion of the lesson the student will be able to solve all types of simultaneous equations with 2 unknown variables by the elimination method.
65Simultaneous equnsApplications of simultaneous equations
Objective: On completion of this lesson the student will be able to derive simultaneous equations from a given problem and then solve those simultaneous equations.
66Geometry-circlesThe equation of a circle: to find radii of circles
Objective: On completion of the lesson the student will be able to describe a circle mathematically given its equation or its graph. Additionally, the student will be able to work out the equation of a circle given its centre and radius.
67Geometry-circlesThe semicircle: to select the equation given the semi circle and vice versa
Objective: On completion of the lesson the student will be able to sketch a semicircle given its equation and derive the equation of a given semicircle.
68Geometry-parabolaThe parabola: to describe properties of a parabola from its equation
Objective: On completion of the lesson the student will be able to predict the general shape and important features of a parabola and then graph the parabola to check the predictions.
69Functions and graphsQuadratic polynomials of the form y = ax. + bx + c.
Objective: On completion of the lesson the student will be able to predict the general shape of a parabola and verify the predictions by sketching the parabola. The student will also be introduced to the discriminant and the axis.
70Functions and graphsGraphing perfect squares: y=(a-x) squared
Objective: On completion of the lesson the student will be able to analyse a curve and then check their work by graphing the curve.
71Graphing rootsGraphing irrational roots
Objective: On completion of the lesson the student will be able to solve any polynomial which has real roots, whether they are rational or irrational.
72Graphing binomialsBinomial products.
Objective: On completion of the lesson the student will understand the term binomial product and be capable of expanding and simplifying an expression.
73Graphing binomialsBinomial products with negative multiplier
Objective: On completion of the lesson the student will understand specific terms and be prepared to expand and simplify different monic binomial products.
74Graphing binomialsBinomial products [non-monic].
Objective: On completion of the lesson, the student will have examined more complex examples with binomial products.
75FactorisingExpansions leading to the difference of two squares
Objective: On completion of the lesson the student will understand expansions leading to differences of 2 squares.
76Algebraic expressions-productsProducts in simplification of algebraic expressions
Objective: On completion of the lesson the student will understand simplification of algebraic expressions in step-by-step processing.
77Algebraic expressions-larger expansionsAlgebraic Expressions – Larger expansions.
Objective: On completion of the lesson the student will be capable of expanding larger algebraic expressions.
78Algebra-highest common factorHighest common factor.
Objective: On completion of the lesson the student will be capable of turning a simple algebraic expression into the product of a factor in parentheses and identifying the highest common factors of the whole expression.
79Factors by groupingFactors by grouping.
Objective: On completion of the lesson the student will be able to complete the process given just two factors for the whole expression.
80Difference of 2 squaresDifference of two squares
Objective: On completion of the lesson the student understand the difference of two squares and be capable of recognising the factors.
81Common fact and diffCommon factor and the difference of two squares
Objective: On completion of the lesson the student will be aware of common factors and recognise the difference of two squares.
82Quadratic trinomialsQuadratic trinomials [monic] – Case 1.
Objective: On completion of the lesson the student will understand the factorisation of quadratic trinomial equations with all terms positive.
83Factorising quadsFactorising quadratic trinomials [monic] – Case 2.
Objective: On completion of the lesson the student will accurately identify the process if the middle term of a quadratic trinomial is negative.
84Factorising quadsFactorising quadratic trinomials [monic] – Case 3.
Objective: On completion of the lesson the student will have an increased knowledge on factorising quadratic trinomials and will understand where the 2nd term is positive and the 3rd term is negative.
85Factorising quadsFactorising quadratic trinomials [monic] – Case 4.
Objective: On completion of the lesson the student will understand how to factorise all of the possible types of monic quadratic trinomials and specifcally where the 2nd term and 3rd terms are negative.
86Factorising quadsFactorisation of non-monic quadratic trinomials
Objective: On completion of the lesson the student will be capable of factorising any quadratic trinomial.
87Factorising quadsFactorisation of non-monic quadratic trinomials – moon method
Objective: On completion of the lesson the student know two methods for factorisation of quadratic trinomials including the cross method.
88Sum/diff 2 cubesSum and difference of two cubes.
Objective: On completion of the lesson the student will be cognisant of the sum and difference of 2 cubes and be capable of factorising them.
89Algebraic fractionsSimplifying algebraic fractions.
Objective: On completion of the lesson the student should be familiar with all of the factorisation methods presented to this point.
90Trigonometry-ratiosTrigonometric ratios.
Objective: On completion of the lesson the student will be able to identify the hypotenuse, adjacent and opposite sides for a given angle in a right angle triangle. The student will be able to label the side lengths in relation to a given angle e.g. the side c is op
91Trigonometry-ratiosUsing the calculator.
Objective: On completion of the lesson the student will be able to use the calculator to find values for the sine, cosine and tangent ratios of acute angles.
92Trigonometry-ratiosUsing the trigonometric ratios to find unknown length. [Case 1 Sine].
Objective: On completion of the lesson the student will be able to use the sine ratio to calculate lengths and distances.
93Trigonometry-ratiosUsing the trigonometric ratios to find unknown length. [Case 2 Cosine].
Objective: On completion of the lesson the student will be able to use the cosine ratio to find the length of the adjacent side of a right angle triangle.
94Trigonometry-ratiosUsing the trigonometric ratios to find unknown length. [Case 3 Tangent Ratio].
Objective: On completion of the lesson the student will be able to use the tangent ratio to calculate the length of the opposite side in a right angle triangle.
95Trigonometry-ratiosUnknown in the denominator. [Case 4].
Objective: On completion of the lesson the student will understand how to use the trig ratios to calculate lengths and distances when the denominator is unknown.
96Trigonometry-compassBearings – the compass.
Objective: On completion of the lesson the student will be able to identify compass bearings, compass bearings with acute angles and 3 figure bearings from true north.
97Trigonometry-elevationAngles of elevation and depression.
Objective: On completion of the lesson the student will be able to identify angles of depression and angles of elevation, and the relationship between them.
98Trigonometry-practicalTrigonometric ratios in practical situations.
Objective: On completion of the lesson the student will be able to use trigonometric ratios to solve problems involving compass bearings and angles of depression and elevation.
99Trigonometry-ratiosUsing the calculator to find an angle given a trigonometric ratio.
Objective: On completion of the lesson the student will be capable of using a calculator to find the value of an unknown angle when given a trigonometric ratio.
100Trigonometry- ratiosUsing the trigonometric ratios to find an angle in a right-angled triangle.
Objective: On completion of the lesson the student will be able to find the value of an unknown angle in a right angle triangle given the lengths of 2 of the sides.
101Trigonometry-exact ratiosTrigonometric ratios of 30., 45. and 60. – exact ratios.
Objective: On completion of the lesson the student will be able to find the exact sine, cosine and tangent ratios for the angles 30., 45.and 60.
102Trigonometry-cosine ruleThe cosine rule to find an unknown side. [Case 1 SAS].
Objective: On completion of the lesson the student will be able to use the cosine rule to find the length of an unknown side of a triangle knowing 2 sides and the included angle.
103Trigonometry-cosine ruleThe cosine rule to find an unknown angle. [Case 2 SSS].
Objective: On completion of the lesson the student will be able to find the size of an unknown angle of a triangle using the cosine rule given the lengths of the 3 sides.
104Trigonometry-sine ruleThe sine rule to find an unknown side. Case 1.
Objective: On completion of the lesson the student will be able to use the Sine rule to find the length of a particular side when the student is given the sizes of 2 of the angles and one of the sides.
105Trigonometry-sine ruleThe sine rule to find an unknown angle. Case 2.
Objective: On completion of the lesson the student will be able to use the sine rule to find an unknown angle when given 2 sides and a non-included angle.
106Trigonometry-areasThe area formula
Objective: On completion of the lesson the student will be able to use the sine formula for finding the area of a triangle given 2 sides and the included angle.
107Quadratic equationsIntroduction to quadratic equations.
Objective: On completion of the lesson the student will understand simple quadratic equations.
108Quadratic equationsQuadratic equations with factorisation.
Objective: On completion of the lesson the student will be able to find both roots of a quadratic equation by factorising.
109Quadratic equationsSolving quadratic equations.
Objective: On completion of the lesson the student will have gained more confidence in working with quadratic equations.
110Quadratic equationsCompleting the square
Objective: On completion of the lesson the student will understand the process of completing the square.
111Quadratic equationsSolving quadratic equations by completing the square
Objective: On completion of the lesson the student will understand the reasoning behind completing the square.
112Quadratic equationsThe quadratic formula
Objective: On completion of the lesson the student will be familiar with the quadratic formula.
113Quadratic equationsProblem solving with quadratic equations
Objective: On completion of the lesson the student will be able to express a problem as a quadratic equation and then solve it.
114Quadratic equationsSolving simultaneous quadratic equations graphically
Objective: On completion of the lesson the student will better understand why quadratic equations have two solutions and will be capable of solving quadratic equations and problems graphically..
115Coordinate Geometry-the planeDistance formula.
Objective: On completion of the lesson the student will be able to calculate the distance between any two points on the number plane and interpret the results.
116Coordinate Geometry-midpoint, slopeMid-point formula
Objective: On completion of the lesson the student will be able to understand the mid point formula and use it practically.
117Coordinate Geometry-gradientGradient
Objective: On completion of the lesson the student will be able to calculate the gradient of a line given its inclination, or angle to the positive direction of the x-axis; or its rise and run.
118Coordinate Geometry-gradientGradient formula.
Objective: On completion of the lesson the student will be able to calculate the gradient of a line given any two points on the line and also be capable of checking whether 3 or more points lie on the same line and what an unknown point will make to parallel lines.
119Coordinate Geometry-straight lineThe straight line.
Objective: On completion of the lesson the student will be able to draw a line which is parallel to either axis and comment on its gradient, where that gradient exists.
120Coordinate Geometry-slope, etc.Lines through the origin.
Objective: On completion of the lesson the student will be able to draw a line which passes through the origin of the form y=mx and comment on its gradient compared to the gradients of other lines through the origin and use the information to solve problems.
121Coordinate Geometry-equation of lineGeneral form of a line and the x and y Intercepts.
Objective: On completion of the lesson the student will be able to change the equation of a straight line from the form, written as y=mx+c, into the general form and vice versa.
122Coordinate Geometry-interceptSlope intercept form of a line.
Objective: On completion of the lesson the student will be able to find the slope and intercept given the equation and given the slope and intercept, derive the equation.
123Coordinate Geometry-point slopePoint slope form of a line
Objective: On completion of the lesson the student will understand how to derive the equation of a straight line given the gradient and a point on the line.
124StatisticsFrequency distribution table
Objective: On completion of the lesson the student will be able to construct a frequency distribution table for raw data and interpret the table.
125StatisticsFrequency histograms and polygons
Objective: On completion of the lesson the student will be able to construct and interpret frequency histograms and polygons.
126StatisticsRelative frequency
Objective: On completion of the lesson the student will be able to collect, display and make judgements about data.
127StatisticsThe range.
Objective: On completion of the lesson the student will be able to determine the range of data in either raw form or in a frequency distribution table.
128Statistic-probabilityThe mode
Objective: On completion of the lesson the student will understand how to find the mode from raw data, a frequency distribution table and polygon.
129Statistic-probabilityThe mean
Objective: On completion of the lesson the student will be able to calculate means from raw data and from a frequency table using an fx column.
130Statistic-probabilityThe median
Objective: On completion of the lesson the student will be able to determine the median of a set of raw scores
131Statistic-probabilityCumulative frequency
Objective: On completion of the lesson the student will be able to construct cumulative frequency columns, histograms and polygons.
132Statistic-probabilityCalculating the median from a frequency distribution
Objective: On completion of the lesson the student will be able to determine the median from a cumulative frequency polygon.
133Statistic-probabilityProbability of Simple Events
Objective: On completion of the lesson the student will be able to understand the probability of simple events.
134Statistic-probabilityRolling a pair of dice
Objective: On completion of the lesson the student will be capable of ascertaining the probability of certain results when 2 dice are thrown simultaneously.
135Statistic-probabilityExperimental probability
Objective: On completion of this lesson the student will be able to find the probabilities in an experimental trial.
136Statistic-probabilityTree diagrams – not depending on previous outcomes
Objective: On completion of the lesson the student will be confident in drawing tree diagrams to list outcomes of a multi stage probability problem and then finding probabilities of certain events not depending on previous outcomes.
137Statistic-probabilityTree diagrams – depending on previous outcomes
Objective: On completion of the lesson the student will be confident in drawing tree diagrams to list outcomes of other multi stage probability problems and then finding probabilities of certain events depending on previous outcomes.
138Statistic-probabilityThe complementary result ..
Objective: On completion of the lesson the student will be capable of ascertaining the probability of certain results where the complementary event is involved.
139Statistic-probabilityP[A or B] When A and B are both mutually and NOT mutually exclusive
Objective: On completion of this lesson the student will be able to distinguish between mutually exclusive and non mutually exclusive events and be able to find the probabilities of both.
140MatricesBasic concepts – Matrices
Objective: On completion of the lesson the student will have had an introduction to matrices
141MatricesAddition and subtraction of matrices
Objective: On completion of this lesson the student will be able to recognise when addition and subtraction of matrices is possible, and perform these operations.
142MatricesScalar matrix multiplication
Objective: On completion of this lesson the student will be able to perform scalar multiplication of a matrix.
143MatricesMultiplication of one matrix by another matrix
Objective: On completion of the lesson the student will be able to state whether matrix by matrix multiplication is possible, predict the order of the answer matrix, and then perform matrix by matrix multiplication.
144MatricesTranslation in the number plane
Objective: On completion of the lesson the student will be able to place ordered pairs into a matrix, then perform translation by addition using a transformation matrix, then extract ordered pairs from an answer matrix.
145MatricesTranslation by matrix multiplication
Objective: On completion of the lesson the student will be able to convert ordered pairs to elements of a matrix, multiply matrices together, where possible, and interpret the answer matrix on a number plane.
146TransformationsSpecial transformations – reflections, rotations and enlargements.
Objective: On completion of the lesson the student will be able to perform transformations: to rotate, reflect and change the size of various shapes and or points where applicable.
147Co-ordinate Geometry-InequalitiesInequalities on the number plane.
Objective: On completion of the lesson the student will be able to derive the expression for an inequality given its graph. The student will also be able to solve some problems using inequalities.
148Co-ordinate Geometry-TheoremsPerpendicular distance
Objective: On completion of the lesson the student will be able to derive the formula to calculate the distance between a given point and a given line. The student will also be able to calculate the distance between parallel lines.
149TranslationsTransformations – reflections
Objective: On completion of the lesson the student will be able to take a pre-image and using the appropriate techniques, accurately show its image after reflection.
150Sequences and Series-Compound interestCompound interest
Objective: On completion of the G.P. lesson the student will understand the compound interest formula and how to use it and adjust the values of r and n, if required, for different compounding periods.
151Sequences and Series-SuperannuationSuperannuation.
Objective: On completion of the lesson the student will understand the method of finding the accumulated amount of a superannuation investment using the sum formula for a G.P.
152Sequences and Series-Time paymentsTime payments.
Objective: On completion of the lesson the student will have examined examples carefully and be capable of setting out the long method of calculating a regular payment for a reducible interest loan.
153ExamExam – Year 12
Objective: Exam
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Advanced Subsidiary (Year 13) Mathematics

#TOPICTITLE
1Study PlanStudy plan – Advanced Subsidiary (Year 13)
Objective: On completion of the course formative assessment a tailored study plan is created identifying the lessons requiring revision.
2Algebraic expressionsAlgebraic expressions.
Objective: On completion of the lesson the student will understand some of the short cuts used in writing algebraic expressions, and the student will be able to write algebraic expressions down in a way that is easier to understand.
3Algebraic expressionsSubstitution into algebraic expressions.
Objective: On completion of the lesson the student will be able to replace pronumerals with numbers, and then perform the correct operations.
4Algebraic expressionsDirected numbers: addition and subtraction.
Objective: On completion of the lesson the student will be able to add and subtract positive and negative numbers in any combination, and understand adding and subtracting positive and negative pronumerals.
5Algebraic expressionsDirected numbers: multiplication and division.
Objective: On completion of the lesson the student will understand which combinations of signs produce a positive answer and which ones produce a negative answer.
6Algebraic expressionsSimplifying algebraic expressions: adding like terms.
Objective: On completion of the lesson the student will be able to simplify and evaluate numerical expressions containing patterns, and be able to simplify algebraic expressions that contain like terms.
7Algebraic expressionsSimplifying algebraic Expressions: subtracting like terms.
Objective: On completion of the lesson the student will be able to recognise the difference between like and unlike terms, and be able to simplify an expression using subtraction.
8Algebraic expressionsSimplifying Algebraic expressions: combining addition and subtraction.
Objective: On completion of the lesson the student will understand how to approach algebraic expressions questions and avoid the most common mistakes.
9Algebraic expressionsSimplifying algebraic expressions: multiplication
Objective: On completion of the lesson the student will be able to simplify expressions involving multiplication of pronumerals and write them in the simplest form.
10Algebraic expressionsSimplifying algebraic expressions: division
Objective: On completion of the lesson the student will be able to use all the operations needed for simplifying algebraic expressions.
11Algebraic expressionsExpanding algebraic expressions: multiplication
Objective: On completion of the lesson the student will be able mentally to multiply and remove parentheses from simple algebraic expressions in one step.
12Algebraic expressionsExpanding algebraic expressions: negative multiplier
Objective: On completion of the lesson the student will be able to expand expressions using a negative multiplier.
13Algebraic expressionsExpanding and simplifying algebraic expressions
Objective: On completion of the lesson the student will be familiar with expanding and simplifying algebraic expressions.
14Algebraic equationsSolving equations containing addition and subtraction
Objective: On completion of the lesson the student will understand how solve simple equations involving addition and subtraction by moving everything but the pronumeral onto one side of the equation, leaving the pronumeral by itself on the other side.
15Algebraic equationsSolving equations containing multiplication and division
Objective: On completion of the lesson the student will be able to solve simple equations involving all operations.
16Algebraic equationsSolving two step equations
Objective: On completion of the lesson the student will be able to solve two step equations.
17Algebraic equationsSolving equations containing binomial expressions
Objective: On completion of the lesson the student will be able to move terms in binomial equations.
18Algebraic equationsEquations involving grouping symbols.
Objective: On completion of the lesson the student will be able to solve equations using grouping symbols
19Algebraic equationsEquations involving fractions.
Objective: On completion of the lesson the student will know how to solve equations using fractions.
20Algebra- formulaeEquations resulting from substitution into formulae.
Objective: On completion of the lesson the student will be able to substitute into formulae and then solve the resulting equations.
21Algebra- formulaeChanging the subject of the formula.
Objective: On completion of the lesson the student will be able to move pronumerals around an equation using all the rules and operations covered previously.
22Algebra-inequalitiesSolving Inequalities.
Objective: On completion of the lesson the student will understand the ‘greater than’ and ‘less than’ signs, and be able to perform simple inequalities.
23Algebra-factorisingSimplifying easy algebraic fractions.
Objective: On completion of the lesson the student will understand how to simplify algebraic fractions by factorising.
24Algebraic fractionsSimplifying algebraic fractions using the index laws.
Objective: On completion of the lesson the student will be able to simplify most algebraic fractions using different methodologies.
25Algebra-negative indicesAlgebraic fractions resulting in negative indices.
Objective: On completion of the lesson the student will be able to understand how to simplify an algebraic fractional expression with a negative index, and also how to write such an expression without a negative index.
26FactorisationFactorisation of algebraic fractions including binomials.
Objective: On completion of the lesson the student should be able to simplify more complex algebraic fractions using a variety of methods.
27Algebraic fractions-binomialCancelling binomial factors in algebraic fractions.
Objective: On completion of the lesson the student should be able to factorise binomials to simplify fractions.
28Rules for indices/exponentsAdding indices when multiplying terms with the same base
Objective: On completion of the lesson the student will know how to use the index law of addition of powers when multiplying terms with the same base.
29Rules for indices/exponentsSubtracting indices when dividing terms with the same base
Objective: On completion of the lesson the student will know how to use the index law of subtraction of powers when dividing terms with the same base.
30Rules for indices/exponentsMultiplying indices when raising a power to a power
Objective: On completion of the lesson the student will use the law of multiplication of indices when raising a power to a power.
31Rules for indices/exponentsMultiplying indices when raising to more than one term
Objective: On completion of the lesson the student will be able to use the law of multiplication of indices when raising more than one term to the same power.
32Rules for indices/exponentsTerms raised to the power of zero
Objective: On completion of the lesson the student will learn how to evaluate or simplify terms that are raised to the power of zero.
33Rules for indices/exponentsNegative Indices
Objective: On completion of the lesson the student will know how to evaluate or simplify expressions containing negative indices.
34Fractional indices/exponentsFractional indices
Objective: On completion of the lesson the student will know how to evaluate or simplify expressions containing fractional indices.
35Fractional indices/exponentsComplex fractions as indices
Objective: On completion of the lesson the student will know how to evaluate or simplify expressions containing complex fractional indices.
36Scientific notationScientific notation with larger numbers
Objective: On completion of the lesson the student will be able to change numbers greater than 1 to scientific notation.
37Scientific notationScientific notation with small numbers
Objective: On completion of the lesson the student will be able to change numbers between zero and 1 to scientific notation.
38Scientific notationChanging scientific notation to numerals
Objective: On completion of the lesson the student will be able to change numbers written in scientific notation to basic numerals and be capable of solving problems on the calculator in scientific notation.
39SurdsIntroducing surds
Objective: On completion of the lesson the student will be able to identify and know the properties of surds as irrational numbers and be able to distinguish them from rational numbers.
40SurdsSome rules for the operations with surds
Objective: On completion of the lesson the student will know how to use the rules for division and multiplication of surds.
41SurdsSimplifying surds
Objective: On completion of the lesson the student will know how to use the rules for simplifying surds using division and multiplication.
42SurdsCreating entire surds
Objective: On completion of the lesson the student will be able to write numbers as entire surds and compare numbers by writing as entire surds
43SurdsAdding and subtracting like surds
Objective: On completion of the lesson the student will be able to add and subtract surds and simplify expressions by collecting like surds.
44SurdsExpanding surds
Objective: On completion of the lesson the student will be able to expand and then simplify binomial expressions involving surds.
45SurdsBinomial expansions
Objective: On completion of the lesson the student will be able to expand and simplify the squares of binomial sums and differences involving surds.
46SurdsConjugate binomials with surds
Objective: On completion of the lesson the student will be able to expand and simplify conjugate binomial expressions involving surds.
47SurdsRationalising the denominator
Objective: On completion of the lesson the student will be able to rationalise denominators of fractions where the denominator involves surds.
48SurdsRationalising binomial denominators
Objective: On completion of the lesson the student will be able to rationalise denominators of fractions where the denominator involves binomial expressions.
49Simultaneous equnsSimultaneous equations
Objective: On completion of the lesson the student will be able to solve 2 equations with 2 unknown variables by the substitution method.
50Simultaneous equnsElimination method
Objective: On completion of the lesson the student will be able to solve 2 equations with 2 unknown variables by the elimination method.
51Simultaneous equnsElimination method part 2
Objective: On completion of the lesson the student will be able to solve all types of simultaneous equations with 2 unknown variables by the elimination method.
52Simultaneous equnsApplications of simultaneous equations
Objective: On completion of this lesson the student will be able to derive simultaneous equations from a given problem and then solve those simultaneous equations.
53Geometry-circlesThe equation of a circle: to find radii of circles
Objective: On completion of the lesson the student will be able to describe a circle mathematically given its equation or its graph. Additionally, the student will be able to work out the equation of a circle given its centre and radius.
54Geometry-circlesThe semicircle: to select the equation given the semi circle and vice versa
Objective: On completion of the lesson the student will be able to sketch a semicircle given its equation and derive the equation of a given semicircle.
55Geometry-parabolaThe parabola: to describe properties of a parabola from its equation
Objective: On completion of the lesson the student will be able to predict the general shape and important features of a parabola and then graph the parabola to check the predictions.
56Functions and graphsQuadratic polynomials of the form y = ax. + bx + c.
Objective: On completion of the lesson the student will be able to predict the general shape of a parabola and verify the predictions by sketching the parabola. The student will also be introduced to the discriminant and the axis.
57Functions and graphsGraphing perfect squares: y=(a-x) squared
Objective: On completion of the lesson the student will be able to analyse a curve and then check their work by graphing the curve.
58Graphing rootsGraphing irrational roots
Objective: On completion of the lesson the student will be able to solve any polynomial which has real roots, whether they are rational or irrational.
59Graphing binomialsBinomial products.
Objective: On completion of the lesson the student will understand the term binomial product and be capable of expanding and simplifying an expression.
60Graphing binomialsBinomial products with negative multiplier
Objective: On completion of the lesson the student will understand specific terms and be prepared to expand and simplify different monic binomial products.
61Graphing binomialsBinomial products [non-monic].
Objective: On completion of the lesson, the student will have examined more complex examples with binomial products.
62Squaring binomialSquaring a binomial. [monic]
Objective: On completion of the lesson the student should understand the simple one-step process of squaring a monic binomial.
63Squaring binomialSquaring a binomial [non-monic].
Objective: On completion of the lesson the student will apply the same rule that is used with monic binomials.
64FactorisingExpansions leading to the difference of two squares
Objective: On completion of the lesson the student will understand expansions leading to differences of 2 squares.
65Algebraic expressions-productsProducts in simplification of algebraic expressions
Objective: On completion of the lesson the student will understand simplification of algebraic expressions in step-by-step processing.
66Algebraic expressions-larger expansionsAlgebraic Expressions – Larger expansions.
Objective: On completion of the lesson the student will be capable of expanding larger algebraic expressions.
67Algebra-highest common factorHighest common factor.
Objective: On completion of the lesson the student will be capable of turning a simple algebraic expression into the product of a factor in parentheses and identifying the highest common factors of the whole expression.
68Factors by groupingFactors by grouping.
Objective: On completion of the lesson the student will be able to complete the process given just two factors for the whole expression.
69Difference of 2 squaresDifference of two squares
Objective: On completion of the lesson the student understand the difference of two squares and be capable of recognising the factors.
70Common fact and diffCommon factor and the difference of two squares
Objective: On completion of the lesson the student will be aware of common factors and recognise the difference of two squares.
71Quadratic trinomialsQuadratic trinomials [monic] – Case 1.
Objective: On completion of the lesson the student will understand the factorisation of quadratic trinomial equations with all terms positive.
72Factorising quadsFactorising quadratic trinomials [monic] – Case 2.
Objective: On completion of the lesson the student will accurately identify the process if the middle term of a quadratic trinomial is negative.
73Factorising quadsFactorising quadratic trinomials [monic] – Case 3.
Objective: On completion of the lesson the student will have an increased knowledge on factorising quadratic trinomials and will understand where the 2nd term is positive and the 3rd term is negative.
74Factorising quadsFactorising quadratic trinomials [monic] – Case 4.
Objective: On completion of the lesson the student will understand how to factorise all of the possible types of monic quadratic trinomials and specifcally where the 2nd term and 3rd terms are negative.
75Factorising quadsFactorisation of non-monic quadratic trinomials
Objective: On completion of the lesson the student will be capable of factorising any quadratic trinomial.
76Factorising quadsFactorisation of non-monic quadratic trinomials – moon method
Objective: On completion of the lesson the student know two methods for factorisation of quadratic trinomials including the cross method.
77Sum/diff 2 cubesSum and difference of two cubes.
Objective: On completion of the lesson the student will be cognisant of the sum and difference of 2 cubes and be capable of factorising them.
78Algebraic fractionsSimplifying algebraic fractions.
Objective: On completion of the lesson the student should be familiar with all of the factorisation methods presented to this point.
79Trigonometry-ratiosTrigonometric ratios.
Objective: On completion of the lesson the student will be able to identify the hypotenuse, adjacent and opposite sides for a given angle in a right angle triangle. The student will be able to label the side lengths in relation to a given angle e.g. the side c is op
80Trigonometry-ratiosUsing the calculator.
Objective: On completion of the lesson the student will be able to use the calculator to find values for the sine, cosine and tangent ratios of acute angles.
81Trigonometry-ratiosUsing the trigonometric ratios to find unknown length. [Case 1 Sine].
Objective: On completion of the lesson the student will be able to use the sine ratio to calculate lengths and distances.
82Trigonometry-ratiosUsing the trigonometric ratios to find unknown length. [Case 2 Cosine].
Objective: On completion of the lesson the student will be able to use the cosine ratio to find the length of the adjacent side of a right angle triangle.
83Trigonometry-ratiosUsing the trigonometric ratios to find unknown length. [Case 3 Tangent Ratio].
Objective: On completion of the lesson the student will be able to use the tangent ratio to calculate the length of the opposite side in a right angle triangle.
84Trigonometry-ratiosUnknown in the denominator. [Case 4].
Objective: On completion of the lesson the student will understand how to use the trig ratios to calculate lengths and distances when the denominator is unknown.
85Trigonometry-compassBearings – the compass.
Objective: On completion of the lesson the student will be able to identify compass bearings, compass bearings with acute angles and 3 figure bearings from true north.
86Trigonometry-elevationAngles of elevation and depression.
Objective: On completion of the lesson the student will be able to identify angles of depression and angles of elevation, and the relationship between them.
87Trigonometry-practicalTrigonometric ratios in practical situations.
Objective: On completion of the lesson the student will be able to use trigonometric ratios to solve problems involving compass bearings and angles of depression and elevation.
88Trigonometry-ratiosUsing the calculator to find an angle given a trigonometric ratio.
Objective: On completion of the lesson the student will be capable of using a calculator to find the value of an unknown angle when given a trigonometric ratio.
89Trigonometry- ratiosUsing the trigonometric ratios to find an angle in a right-angled triangle.
Objective: On completion of the lesson the student will be able to find the value of an unknown angle in a right angle triangle given the lengths of 2 of the sides.
90Trigonometry-exact ratiosTrigonometric ratios of 30., 45. and 60. – exact ratios.
Objective: On completion of the lesson the student will be able to find the exact sine, cosine and tangent ratios for the angles 30., 45.and 60.
91Trigonometry-cosine ruleThe cosine rule to find an unknown side. [Case 1 SAS].
Objective: On completion of the lesson the student will be able to use the cosine rule to find the length of an unknown side of a triangle knowing 2 sides and the included angle.
92Trigonometry-cosine ruleThe cosine rule to find an unknown angle. [Case 2 SSS].
Objective: On completion of the lesson the student will be able to find the size of an unknown angle of a triangle using the cosine rule given the lengths of the 3 sides.
93Trigonometry-sine ruleThe sine rule to find an unknown side. Case 1.
Objective: On completion of the lesson the student will be able to use the Sine rule to find the length of a particular side when the student is given the sizes of 2 of the angles and one of the sides.
94Trigonometry-sine ruleThe sine rule to find an unknown angle. Case 2.
Objective: On completion of the lesson the student will be able to use the sine rule to find an unknown angle when given 2 sides and a non-included angle.
95Trigonometry-areasThe area formula
Objective: On completion of the lesson the student will be able to use the sine formula for finding the area of a triangle given 2 sides and the included angle.
96Quadratic equationsIntroduction to quadratic equations.
Objective: On completion of the lesson the student will understand simple quadratic equations.
97Quadratic equationsQuadratic equations with factorisation.
Objective: On completion of the lesson the student will be able to find both roots of a quadratic equation by factorising.
98Quadratic equationsSolving quadratic equations.
Objective: On completion of the lesson the student will have gained more confidence in working with quadratic equations.
99Quadratic equationsCompleting the square
Objective: On completion of the lesson the student will understand the process of completing the square.
100Quadratic equationsSolving quadratic equations by completing the square
Objective: On completion of the lesson the student will understand the reasoning behind completing the square.
101Quadratic equationsThe quadratic formula
Objective: On completion of the lesson the student will be familiar with the quadratic formula.
102Quadratic equationsProblem solving with quadratic equations
Objective: On completion of the lesson the student will be able to express a problem as a quadratic equation and then solve it.
103Quadratic equationsSolving simultaneous quadratic equations graphically
Objective: On completion of the lesson the student will better understand why quadratic equations have two solutions and will be capable of solving quadratic equations and problems graphically..
104Coordinate Geometry-the planeDistance formula.
Objective: On completion of the lesson the student will be able to calculate the distance between any two points on the number plane and interpret the results.
105Coordinate Geometry-midpoint, slopeMid-point formula
Objective: On completion of the lesson the student will be able to understand the mid point formula and use it practically.
106Coordinate Geometry-gradientGradient
Objective: On completion of the lesson the student will be able to calculate the gradient of a line given its inclination, or angle to the positive direction of the x-axis; or its rise and run.
107Coordinate Geometry-gradientGradient formula.
Objective: On completion of the lesson the student will be able to calculate the gradient of a line given any two points on the line and also be capable of checking whether 3 or more points lie on the same line and what an unknown point will make to parallel lines.
108Coordinate Geometry-straight lineThe straight line.
Objective: On completion of the lesson the student will be able to draw a line which is parallel to either axis and comment on its gradient, where that gradient exists.
109Coordinate Geometry-slope, etc.Lines through the origin.
Objective: On completion of the lesson the student will be able to draw a line which passes through the origin of the form y=mx and comment on its gradient compared to the gradients of other lines through the origin and use the information to solve problems.
110Coordinate Geometry-equation of lineGeneral form of a line and the x and y Intercepts.
Objective: On completion of the lesson the student will be able to change the equation of a straight line from the form, written as y=mx+c, into the general form and vice versa.
111Coordinate Geometry-interceptSlope intercept form of a line.
Objective: On completion of the lesson the student will be able to find the slope and intercept given the equation and given the slope and intercept, derive the equation.
112Coordinate Geometry-point slopePoint slope form of a line
Objective: On completion of the lesson the student will understand how to derive the equation of a straight line given the gradient and a point on the line.
113StatisticsFrequency distribution table
Objective: On completion of the lesson the student will be able to construct a frequency distribution table for raw data and interpret the table.
114StatisticsFrequency histograms and polygons
Objective: On completion of the lesson the student will be able to construct and interpret frequency histograms and polygons.
115StatisticsRelative frequency
Objective: On completion of the lesson the student will be able to collect, display and make judgements about data.
116StatisticsThe range.
Objective: On completion of the lesson the student will be able to determine the range of data in either raw form or in a frequency distribution table.
117Statistic-probabilityThe mode
Objective: On completion of the lesson the student will understand how to find the mode from raw data, a frequency distribution table and polygon.
118Statistic-probabilityThe mean
Objective: On completion of the lesson the student will be able to calculate means from raw data and from a frequency table using an fx column.
119Statistic-probabilityThe median
Objective: On completion of the lesson the student will be able to determine the median of a set of raw scores
120Statistic-probabilityCumulative frequency
Objective: On completion of the lesson the student will be able to construct cumulative frequency columns, histograms and polygons.
121Statistic-probabilityCalculating the median from a frequency distribution
Objective: On completion of the lesson the student will be able to determine the median from a cumulative frequency polygon.
122Statistic-probabilityProbability of Simple Events
Objective: On completion of the lesson the student will be able to understand the probability of simple events.
123Statistic-probabilityRolling a pair of dice
Objective: On completion of the lesson the student will be capable of ascertaining the probability of certain results when 2 dice are thrown simultaneously.
124Statistic-probabilityExperimental probability
Objective: On completion of this lesson the student will be able to find the probabilities in an experimental trial.
125Statistic-probabilityTree diagrams – not depending on previous outcomes
Objective: On completion of the lesson the student will be confident in drawing tree diagrams to list outcomes of a multi stage probability problem and then finding probabilities of certain events not depending on previous outcomes.
126Statistic-probabilityTree diagrams – depending on previous outcomes
Objective: On completion of the lesson the student will be confident in drawing tree diagrams to list outcomes of other multi stage probability problems and then finding probabilities of certain events depending on previous outcomes.
127Statistic-probabilityThe complementary result ..
Objective: On completion of the lesson the student will be capable of ascertaining the probability of certain results where the complementary event is involved.
128Statistic-probabilityP[A or B] When A and B are both mutually and NOT mutually exclusive
Objective: On completion of this lesson the student will be able to distinguish between mutually exclusive and non mutually exclusive events and be able to find the probabilities of both.
129Statistic-probabilityBinomial Theorem – Pascal’s Triangle
Objective: On completion of this lesson the student will use Pascal’s triangle and the binomial theorem to write the expansion of binomial expressions raised to integer powers.
130Statistic-probabilityBinomial probabilities using the Binomial Theorem
Objective: On completion of the lesson the student will be able to solve certain types of probability questions using the binomial theorem
131Statistic-probabilityCounting techniques and ordered selections – permutations
Objective: On completion of this lesson the student will be competent in using some new counting techniques used for solving probability.
132Statistic-probabilityUnordered selections – combinations
Objective: On completion of the lesson the student will be able to use the formula, n c r both with and without a calculator and be able to use it to solve probability problems where unordered selections happen.
133MatricesBasic concepts – Matrices
Objective: On completion of the lesson the student will have had an introduction to matrices
134MatricesAddition and subtraction of matrices
Objective: On completion of this lesson the student will be able to recognise when addition and subtraction of matrices is possible, and perform these operations.
135MatricesScalar matrix multiplication
Objective: On completion of this lesson the student will be able to perform scalar multiplication of a matrix.
136MatricesMultiplication of one matrix by another matrix
Objective: On completion of the lesson the student will be able to state whether matrix by matrix multiplication is possible, predict the order of the answer matrix, and then perform matrix by matrix multiplication.
137MatricesTranslation in the number plane
Objective: On completion of the lesson the student will be able to place ordered pairs into a matrix, then perform translation by addition using a transformation matrix, then extract ordered pairs from an answer matrix.
138MatricesTranslation by matrix multiplication
Objective: On completion of the lesson the student will be able to convert ordered pairs to elements of a matrix, multiply matrices together, where possible, and interpret the answer matrix on a number plane.
139TransformationsSpecial transformations – reflections, rotations and enlargements.
Objective: On completion of the lesson the student will be able to perform transformations: to rotate, reflect and change the size of various shapes and or points where applicable.
140VectorsVectors
Objective: On completion of the lesson the student will be able to represent a vector in matrix and diagrammatic form, as well as add two vectors using matrices and/or a diagram.
141Graphing-polynomialsGraphing complex polynomials: quadratics with no real roots
Objective: On completion of the lesson the student will be able to determine whether a quadratic has real or complex roots and then graph it.
142Graphing-polynomialsGeneral equation of a circle: determine and graph the equation
Objective: On completion of the lesson the student will be able to solve these types of problems. Working with circles will also help the student in the topic of circle geometry, which tests the student’s skills in logic and reasoning.
143Graphing-cubic curvesGraphing cubic curves
Objective: On completion of this lesson the student will be able to graph a cubic given its equation or derive the equation of a cubic given its graph or other relevant information.
144Absolute value equationsAbsolute value equations
Objective: On completion of this lesson the student will be able to relate to graphs involving the absolute value function. The student will be capable of graphing the function given its equation and be able to solve for the intersection of an absolute value functio
145Rect.hyperbolaThe rectangular hyperbola.
Objective: On completion of the lesson the student will be able to analyse and graph a rectangular hyperbola and describe its important features.
146Exponential functionThe exponential function.
Objective: On completion of the lesson the student will be able to graph any equation in the form y equals a to the power x, where a is any positive real number apart from 1.
147Log functionsLogarithmic functions.
Objective: On completion of this lesson the student will be able to define basic logarithmic functions and describe the relationship between logarithms and exponents including graph logarithmic functions. The student will understand the relationship between logarit
148Statistics – grouped dataCalculating mean, mode and median from grouped data
Objective: On completion of the lesson the student will be capable of identifying class centres, get frequency counts and determine the mean and mode values.
149Statistics – Range and dispersionRange as a measure of dispersion
Objective: On completion of the lesson the student will be able to determine the range and using it in decision making.
150Statistics – SpreadMeasures of spread
Objective: On completion of the lesson the student will be able to find the standard deviation, using a data set or a frequency distribution table and calculator.
151Statistics – Standard deviationStandard deviation applications
Objective: On completion of the lesson the student will be able to use standard deviation as a measure of deviation from a mean.
152Statistics – Standard deviationNormal distribution
Objective: On completion of the lesson the student will be able to use the standard deviation of a normal distribution to find the percentage of scores within ranges.
153Statistics – Interquartile rangeMeasures of spread: the interquartile range
Objective: On completion of the lesson the student will be able to find the upper and lower quartiles and the interquartile range
154Co-ordinate Geometry-Two point formulaTwo point formula: equation of a line which joins a pair of points.
Objective: On completion of the lesson the student will be able to calculate the equation of a line given any two named points on the line.
155Co-ordinate Geometry-Intercept formIntercept form of a straight line: find the equation when given x and y
Objective: On completion of the lesson the student will have an effective and efficient method for calculating the equation of a straight line.
156Co-ordinate Geometry-Parallel lines equationsParallel lines: identify equation of a line parallel to another
Objective: On completion of the lesson the student will be able to decide if two or more lines are parallel or not and to solve problems involving parallel lines.
157Co-ordinate Geometry-Perpendicular linesPerpendicular lines.
Objective: On completion of the lesson the student will be able to derive the equation of a line, given that it is perpendicular to another stated line.
158Co-ordinate Geometry-InequalitiesInequalities on the number plane.
Objective: On completion of the lesson the student will be able to derive the expression for an inequality given its graph. The student will also be able to solve some problems using inequalities.
159Co-ordinate Geometry-TheoremsPerpendicular distance
Objective: On completion of the lesson the student will be able to derive the formula to calculate the distance between a given point and a given line. The student will also be able to calculate the distance between parallel lines.
160Co-ordinate Geometry-TheoremsLine through intersection of two given lines
Objective: On completion of the lesson the student will be able to calculate the equation of a line which goes through the intersection of two given lines and also through another named point or satisfies some other specified condition.
161Co-ordinate Geometry-TheoremsAngles between two lines
Objective: On completion of the lesson the student will be able to calculate the angle between given lines and derive the equation of a line given its angle to another line.
162Co-ordinate Geometry-TheoremsInternal and external division of an interval
Objective: On completion of the lesson the student will be able to divide an interval according to a given ratio and to calculate what point divides an interval in a given ratio for both internal and external divisions.
163TranslationsTransformations – reflections
Objective: On completion of the lesson the student will be able to take a pre-image and using the appropriate techniques, accurately show its image after reflection.
164Trig-reciprocal ratiosReciprocal ratios.
Objective: On completion of the lesson the student will be able to identify and use the reciprocal trigonometric ratios of sine, cosine and tan, that is, the cosecant, secant and cotangent ratios.
165Trig complementary anglesComplementary angle results.
Objective: On completion of the lesson the student will understand how to establish the complementary angle results for the sine and cosine ratios and then how to use these results to solve trig equations.
166Trig identitiesTrigonometric identities
Objective: On completion of the lesson the student will be able to simplify trigonometrical expressions and solve trigonometry equations using the knowledge of trig identities.
167Trig larger anglesAngles of any magnitude
Objective: On completion of the lesson the student will be able to find the trigonometric values of angles of any magnitude by assigning angles to the four quadrants of the circle.
168Trig larger anglesTrigonometric ratios of 0°, 90°, 180°, 270° and 360°
Objective: On completion of the lesson the student will learn how to find the Trigonometric Ratios of 0, 90, 180, 270 and 360 degrees.
169Graph sineGraphing the trigonometric ratios – I Sine curve.
Objective: On completion of the lesson the student will recognise and draw the sine curve exploring changes in amplitude and period.
170Graph cosineGraphing the trigonometric ratios – II Cosine curve.
Objective: On completion of the lesson the student will know how to recognise and draw the cosine curve exploring changes in amplitude and period.
171Graphs tan curveGraphing the trigonometric ratios – III Tangent curve.
Objective: On completion of the lesson the student will know how to recognise and draw the tan curve.
172Graph reciprocalsGraphing the trigonometric ratios – IV Reciprocal ratios.
Objective: On completion of the lesson the student will know how to recognise and draw the curves of the reciprocal ratios: cosec, sec and cot.
173Logarithms-Power of 2Powers of 2.
Objective: On completion of the lesson the student should be able to convert between logarithmic statements and index statements to the power of 2.
174Logarithms-Equations and logsEquations of type log x to the base 3 = 4.
Objective: On completion of the lesson the student will have an enhanced understanding of the definition of a logarithm and how to use it to find an unknown variable which in this case is the number from which the logarithm evolves.
175Logarithms-Equations and logsEquations of type log 32 to the base x = 5.
Objective: On completion of the lesson the student will have an enhanced understanding of the definition of a logarithm and how to use it to find an unknown variable which in this case is the base from which the number came.
176Logarithms-Log lawsLaws of logarithms.
Objective: On completion of the lesson the student will be familiar with 5 logarithm laws.
177Logarithms-Log laws expansionUsing the log laws to expand logarithmic expressions.
Objective: On completion of the lesson the student will be able to use the log laws to expand logarithmic expressions.
178Logarithms-Log laws simplifyingUsing the log laws to simplify expressions involving logarithms.
Objective: On completion of the lesson the student will be able to simplify logarithmic expressions using the log laws.
179Logarithms-Log laws numbersUsing the log laws to find the logarithms of numbers.
Objective: On completion of the lesson the student will have an enhanced understanding of the use of the log laws and be able to do more applications with numerical examples.
180Logarithms-Equations and logsEquations involving logarithms.
Objective: On completion of the lesson the student will be able to solve equations with log terms.
181Logarithms-Logs to solve equationsUsing logarithms to solve equations.
Objective: On completion of the lesson the student will be able to use logarithms to solve index equations with the assistance of a calculator.
182Logarithms-Change base formulaChange of base formula
Objective: On completion of the lesson the student will have seen the change of base formula for logarithms and be capable of using it to change the logarithm of one base to another base.
183Logarithms-Graph-log curveThe graph of the logarithmic curve
Objective: On completion of the lesson the student will be able to draw a logarithmic curve to a given base and know the general properties of log curves.
184Logarithms-Log curvesWorking with log curves.
Objective: On completion of the lesson the student will be able to solve problems with log curves
185Algebra-polynomialsIntroduction to polynomials
Objective: On completion of the lesson the student will understand all the terminology associated with polynomials and be able to judge if any algebraic expression is a polynomial or not.
186Algebra-polynomialsThe sum, difference and product of two polynomials.
Objective: On completion of the lesson the student will be able to add subtract and multiply polynomials and find the degrees of the answers.
187Algebra-polynomialsPolynomials and long division.
Objective: On completion of the lesson the student will understand the long division process with polynomials.
188Circle GeometryTheorem – Equal arcs on circles of equal radii subtend equal angles at the centre. Theorem – Equal angles at the centre of a circle on equal arcs.
Objective: On completion of the lesson the student will be able to prove that ‘Equal arcs on circles of equal radii, subtend equal angles at the centre’, and that ‘Equal angles at the centre of a circle stand on equal arcs.’ They should then be able to use these pro
189Circle GeometryTheorem – The perpendicular from the centre of a circle to a chord bisects the chord. Theorem – The line from the centre of a circle to the mid-point of the chord is perpendicular to the chord.
Objective: On completion of the lesson the student will be able to prove that ‘The perpendicular from the centre of a circle to a chord bisects the chord.’ and its converse theorem ‘The line from the centre of a circle to the mid-point of the chord is perpendicular’
190Circle GeometryTheorem – Equal chords in equal circles are equidistant from the centres. Theorem – Chords in a circle which are equidistant from the centre are equal.
Objective: On completion of the lesson the student will be able to prove that equal chords in equal circles are equidistant from the centre.
191Circle GeometryTheorem – The angle at the centre of a circle is double the angle at the circumference standing on the same arc.
Objective: On completion of the lesson the student will be able to prove that the angle at the centre of a circle is double the angle at the circumference standing on the same arc.
192Circle GeometryTheorem – Angles in the same segment of a circle are equal.
Objective: On completion of the lesson the student will be able to prove that the angles in the same segment are equal.
193Circle GeometryTheorem – The angle of a semi-circle is a right angle.
Objective: On completion of the lesson the student will be able to prove that ‘The angle of a semi-circle is a right-angle.’
194Circle GeometryTheorem – The opposite angles of a cyclic quadrilateral are supplementary.
Objective: On completion of the lesson the student will be able to prove that the opposite angles of a cyclic quadrilateral are supplementary.
195Circle GeometryTheorem – The exterior angle at a vertex of a cyclic quadrilateral equals the interior opposite angle.
Objective: On completion of the lesson the student will be able to prove that the exterior angle at a vertex of a cyclic quadrilateral equals the interior opposite.
196Circle GeometryTheorem – The tangent to a circle is perpendicular to the radius drawn to it at the point of contact.
Objective: On completion of the lesson the student will be able to prove that the tangent and the radius of a circle are perpendicular at the point of contact.
197Circle GeometryTheorem – Tangents to a circle from an external point are equal.
Objective: On completion of the lesson the student will be able to prove that tangents to a circle from an external point are equal.
198Circle GeometryTheorem – The angle between a tangent and a chord through the point of contact is equal to the angle in the alternate segment.
Objective: On completion of the lesson the student will be able to prove that the angle between a tangent and a chord through the point of contact is equal to the angle in the alternate segment.
199Sequences and SeriesGeneral sequences.
Objective: On completion of the lesson the student will be able to work out a formula from a given number pattern and then be able to find particular terms of that sequence using the formula.
200Sequences and SeriesFinding Tn given Sn.
Objective: On completion of the lesson the student will understand the concept that the sum of n terms of a series minus the sum of n minus one terms will yield the nth term.
201Arithmetic ProgressionThe arithmetic progression
Objective: On completion of the lesson the student will be able to test if a given sequence is an Arithmetic Progression or not and be capable of finding a formula for the nth term, find any term in the A.P. and to solve problems involving these concepts.
202Arithmetic ProgressionFinding the position of a term in an A.P.
Objective: On completion of the lesson the student will be able to solve many problems involving finding terms of an Arithmetic Progression.
203Arithmetic ProgressionGiven two terms of A.P., find the sequence.
Objective: On completion of the lesson the student will be able to find any term of an Arithmetic Progression when given two terms
204Arithmetic ProgressionArithmetic means
Objective: On completion of the lesson the student will be able to make an arithmetic progression between two given terms. This could involve finding one, two, or even larger number of arithmetic means.
205Arithmetic ProgressionThe sum to n terms of an A.P.
Objective: On completion of the lesson the student will understand the formulas for the sum of an Arithmetic Progression and how to use them in solving problems.
206Geometric ProgressionThe geometric progression.
Objective: On completion of the lesson the student will be able to test if a given sequence is a Geometric Progression or not and be capable of finding a formula for the nth term, find any term in the G.P. and to solve problems involving these concepts.
207Geometric ProgressionFinding the position of a term in a G.P.
Objective: On completion of the lesson the student will understand how to find terms in a geometric progression and how to apply it different types of problems.
208Geometric ProgressionGiven two terms of G.P., find the sequence.
Objective: On completion of this lesson the student will be able to solve all problems involving finding the common ratio of a Geometric Progression.
209CalculusLimits
Objective: On completion of the lesson the student will be able to solve problems using limiting sum rule.
210Calculus=1st prinDifferentiation from first principles.
Objective: On completion of the lesson the student will be able apply the first principles (calculus) formula to find the gradient of a tangent at any point on a continuous curve.
211Calculus=1st prinDifferentiation of y = x to the power of n.
Objective: On completion of the Calculus lesson the student will be able to differentiate a number of expressions involving x raised to the power of n.
212Calculus-differential, integMeaning of dy over dx – equations of tangents and normals.
Objective: On completion of the Calculus lesson the student will be able to apply differentiation and algebra skills to find the equation of the tangent and the normal to a point on a curve.
213Calculus-differential, integFunction of a function rule, product rule, quotient rule.
Objective: On completion of the Calculus lesson the student will understand how to use the chain rule, the product rule and the quotient rule.
214Calculus-differential, integIncreasing, decreasing and stationary functions.
Objective: On completion of the lesson the student will understand how to find the first derivative of various functions, and use it in various situations to identify increasing, decreasing and stationary functions.
215Sequences and Series-Sum of gpThe sum to n terms of a G.P.
Objective: On completion of the lesson the student will understand the formulas and how to use them to solve problems in summing terms of a Geometric Progression (G.P).
216Sequences and Series-Sigma notationSigma notation
Objective: On completion of the G.P. lesson the student will be familiar with the sigma notation and how it operates.
217Sequences and Series-Compound interestCompound interest
Objective: On completion of the G.P. lesson the student will understand the compound interest formula and how to use it and adjust the values of r and n, if required, for different compounding periods.
218Sequences and Series-SuperannuationSuperannuation.
Objective: On completion of the lesson the student will understand the method of finding the accumulated amount of a superannuation investment using the sum formula for a G.P.
219Sequences and Series-Time paymentsTime payments.
Objective: On completion of the lesson the student will have examined examples carefully and be capable of setting out the long method of calculating a regular payment for a reducible interest loan.
220Sequences and SeriesApplications of arithmetic sequences
Objective: On completion of the lesson the student will be capable of problems involving practical situations with arithmetic series.
221Circle Geometry-chordsTheorem – The products of the intercepts of two intersecting chords are equal.
Objective: On completion of the lesson the student will be able to prove that ‘The product of the intercepts of two intersecting chords are equal.’, and use this result to complete questions that require this knowledge.
222Circle Geometry-tangentsTheorem – The square of the length of the tangent from an external point is equal to the product of the intercepts of the secant passing through this point. [Including Alternate Proof]
Objective: On completion of the lesson the student will be able to prove and apply ‘The square of the length of the tangent from an external point is equal to the product of the intercepts of the secant passing through this point ‘, and use this result to complete q
223Circle Geometry-cyclic quadsTheorem – If the opposite angles in a quadrilateral are supplementary then the quadrilateral is cyclic.
Objective: On completion of the lesson the student will be able to prove that a quadrilateral is cyclic using the supplementary angles theorem.
224Circle Geometry-subtendingTheorem – If an interval subtends equal angles at two points on the same side of it, then the end points of the interval and the two points are concyclic.
Objective: On completion of the lesson the student will be able to prove that ‘ If an interval subtends equal angles at two points on the same side of it, then the end points of the interval and the two points are concyclic’, and use this result to complete the ques
225Circle GeometryTheorem – When circles touch, the line of the centres passes through the point of contact.
Objective: On completion of the lesson the student will be able to prove that ‘ When two circles touch, the line of the centres passes through the point of contact’, and use this result to complete questions that require it.
226Circle Geometry-non-collinearTheorem – Any three non-collinear points lie on a unique circle whose centre is the point of concurrency of the perpendicular bisectors of the intervals joining these points.
Objective: On completion of the lesson the student will be able to prove that ‘ Any three non-collinear points lie on a unique circle whose centre is the point of concurrency of the perpendicular bisectors of the intervals joining these points’, and use this knowled
227ExamExam – Advanced Subsidiary (Year 13)
Objective: Exam
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Advanced Level 2 (Year 14) Mathematics

#TOPICTITLE
1Study PlanStudy plan – Advanced Level 2 (Year 14)
Objective: On completion of the course formative assessment a tailored study plan is created identifying the lessons requiring revision.
2Algebraic expressionsAlgebraic expressions.
Objective: On completion of the lesson the student will understand some of the short cuts used in writing algebraic expressions, and the student will be able to write algebraic expressions down in a way that is easier to understand.
3Algebraic expressionsSubstitution into algebraic expressions.
Objective: On completion of the lesson the student will be able to replace pronumerals with numbers, and then perform the correct operations.
4Algebraic expressionsDirected numbers: addition and subtraction.
Objective: On completion of the lesson the student will be able to add and subtract positive and negative numbers in any combination, and understand adding and subtracting positive and negative pronumerals.
5Algebraic expressionsDirected numbers: multiplication and division.
Objective: On completion of the lesson the student will understand which combinations of signs produce a positive answer and which ones produce a negative answer.
6Algebraic expressionsSimplifying algebraic expressions: adding like terms.
Objective: On completion of the lesson the student will be able to simplify and evaluate numerical expressions containing patterns, and be able to simplify algebraic expressions that contain like terms.
7Algebraic expressionsSimplifying algebraic Expressions: subtracting like terms.
Objective: On completion of the lesson the student will be able to recognise the difference between like and unlike terms, and be able to simplify an expression using subtraction.
8Algebraic expressionsSimplifying Algebraic expressions: combining addition and subtraction.
Objective: On completion of the lesson the student will understand how to approach algebraic expressions questions and avoid the most common mistakes.
9Algebraic expressionsSimplifying algebraic expressions: multiplication
Objective: On completion of the lesson the student will be able to simplify expressions involving multiplication of pronumerals and write them in the simplest form.
10Algebraic expressionsSimplifying algebraic expressions: division
Objective: On completion of the lesson the student will be able to use all the operations needed for simplifying algebraic expressions.
11Algebraic expressionsExpanding algebraic expressions: multiplication
Objective: On completion of the lesson the student will be able mentally to multiply and remove parentheses from simple algebraic expressions in one step.
12Algebraic expressionsExpanding algebraic expressions: negative multiplier
Objective: On completion of the lesson the student will be able to expand expressions using a negative multiplier.
13Algebraic expressionsExpanding and simplifying algebraic expressions
Objective: On completion of the lesson the student will be familiar with expanding and simplifying algebraic expressions.
14Algebraic equationsSolving equations containing addition and subtraction
Objective: On completion of the lesson the student will understand how solve simple equations involving addition and subtraction by moving everything but the pronumeral onto one side of the equation, leaving the pronumeral by itself on the other side.
15Algebraic equationsSolving equations containing multiplication and division
Objective: On completion of the lesson the student will be able to solve simple equations involving all operations.
16Algebraic equationsSolving two step equations
Objective: On completion of the lesson the student will be able to solve two step equations.
17Algebraic equationsSolving equations containing binomial expressions
Objective: On completion of the lesson the student will be able to move terms in binomial equations.
18Algebraic equationsEquations involving grouping symbols.
Objective: On completion of the lesson the student will be able to solve equations using grouping symbols
19Algebraic equationsEquations involving fractions.
Objective: On completion of the lesson the student will know how to solve equations using fractions.
20Algebra- formulaeEquations resulting from substitution into formulae.
Objective: On completion of the lesson the student will be able to substitute into formulae and then solve the resulting equations.
21Algebra- formulaeChanging the subject of the formula.
Objective: On completion of the lesson the student will be able to move pronumerals around an equation using all the rules and operations covered previously.
22Algebra-inequalitiesSolving Inequalities.
Objective: On completion of the lesson the student will understand the ‘greater than’ and ‘less than’ signs, and be able to perform simple inequalities.
23Algebra-factorisingSimplifying easy algebraic fractions.
Objective: On completion of the lesson the student will understand how to simplify algebraic fractions by factorising.
24Algebraic fractionsSimplifying algebraic fractions using the index laws.
Objective: On completion of the lesson the student will be able to simplify most algebraic fractions using different methodologies.
25Algebra-negative indicesAlgebraic fractions resulting in negative indices.
Objective: On completion of the lesson the student will be able to understand how to simplify an algebraic fractional expression with a negative index, and also how to write such an expression without a negative index.
26FactorisationFactorisation of algebraic fractions including binomials.
Objective: On completion of the lesson the student should be able to simplify more complex algebraic fractions using a variety of methods.
27Algebraic fractions-binomialCancelling binomial factors in algebraic fractions.
Objective: On completion of the lesson the student should be able to factorise binomials to simplify fractions.
28Rules for indices/exponentsAdding indices when multiplying terms with the same base
Objective: On completion of the lesson the student will know how to use the index law of addition of powers when multiplying terms with the same base.
29Rules for indices/exponentsSubtracting indices when dividing terms with the same base
Objective: On completion of the lesson the student will know how to use the index law of subtraction of powers when dividing terms with the same base.
30Rules for indices/exponentsMultiplying indices when raising a power to a power
Objective: On completion of the lesson the student will use the law of multiplication of indices when raising a power to a power.
31Rules for indices/exponentsMultiplying indices when raising to more than one term
Objective: On completion of the lesson the student will be able to use the law of multiplication of indices when raising more than one term to the same power.
32Rules for indices/exponentsTerms raised to the power of zero
Objective: On completion of the lesson the student will learn how to evaluate or simplify terms that are raised to the power of zero.
33Rules for indices/exponentsNegative Indices
Objective: On completion of the lesson the student will know how to evaluate or simplify expressions containing negative indices.
34Fractional indices/exponentsFractional indices
Objective: On completion of the lesson the student will know how to evaluate or simplify expressions containing fractional indices.
35Fractional indices/exponentsComplex fractions as indices
Objective: On completion of the lesson the student will know how to evaluate or simplify expressions containing complex fractional indices.
36Scientific notationScientific notation with larger numbers
Objective: On completion of the lesson the student will be able to change numbers greater than 1 to scientific notation.
37Scientific notationScientific notation with small numbers
Objective: On completion of the lesson the student will be able to change numbers between zero and 1 to scientific notation.
38Scientific notationChanging scientific notation to numerals
Objective: On completion of the lesson the student will be able to change numbers written in scientific notation to basic numerals and be capable of solving problems on the calculator in scientific notation.
39SurdsIntroducing surds
Objective: On completion of the lesson the student will be able to identify and know the properties of surds as irrational numbers and be able to distinguish them from rational numbers.
40SurdsSome rules for the operations with surds
Objective: On completion of the lesson the student will know how to use the rules for division and multiplication of surds.
41SurdsSimplifying surds
Objective: On completion of the lesson the student will know how to use the rules for simplifying surds using division and multiplication.
42SurdsCreating entire surds
Objective: On completion of the lesson the student will be able to write numbers as entire surds and compare numbers by writing as entire surds
43SurdsAdding and subtracting like surds
Objective: On completion of the lesson the student will be able to add and subtract surds and simplify expressions by collecting like surds.
44SurdsExpanding surds
Objective: On completion of the lesson the student will be able to expand and then simplify binomial expressions involving surds.
45SurdsBinomial expansions
Objective: On completion of the lesson the student will be able to expand and simplify the squares of binomial sums and differences involving surds.
46SurdsConjugate binomials with surds
Objective: On completion of the lesson the student will be able to expand and simplify conjugate binomial expressions involving surds.
47SurdsRationalising the denominator
Objective: On completion of the lesson the student will be able to rationalise denominators of fractions where the denominator involves surds.
48SurdsRationalising binomial denominators
Objective: On completion of the lesson the student will be able to rationalise denominators of fractions where the denominator involves binomial expressions.
49Simultaneous equnsSimultaneous equations
Objective: On completion of the lesson the student will be able to solve 2 equations with 2 unknown variables by the substitution method.
50Simultaneous equnsElimination method
Objective: On completion of the lesson the student will be able to solve 2 equations with 2 unknown variables by the elimination method.
51Simultaneous equnsElimination method part 2
Objective: On completion of the lesson the student will be able to solve all types of simultaneous equations with 2 unknown variables by the elimination method.
52Simultaneous equnsApplications of simultaneous equations
Objective: On completion of this lesson the student will be able to derive simultaneous equations from a given problem and then solve those simultaneous equations.
53Geometry-circlesThe equation of a circle: to find radii of circles
Objective: On completion of the lesson the student will be able to describe a circle mathematically given its equation or its graph. Additionally, the student will be able to work out the equation of a circle given its centre and radius.
54Geometry-circlesThe semicircle: to select the equation given the semi circle and vice versa
Objective: On completion of the lesson the student will be able to sketch a semicircle given its equation and derive the equation of a given semicircle.
55Geometry-parabolaThe parabola: to describe properties of a parabola from its equation
Objective: On completion of the lesson the student will be able to predict the general shape and important features of a parabola and then graph the parabola to check the predictions.
56Functions and graphsQuadratic polynomials of the form y = ax. + bx + c.
Objective: On completion of the lesson the student will be able to predict the general shape of a parabola and verify the predictions by sketching the parabola. The student will also be introduced to the discriminant and the axis.
57Functions and graphsGraphing perfect squares: y=(a-x) squared
Objective: On completion of the lesson the student will be able to analyse a curve and then check their work by graphing the curve.
58Graphing rootsGraphing irrational roots
Objective: On completion of the lesson the student will be able to solve any polynomial which has real roots, whether they are rational or irrational.
59Graphing binomialsBinomial products.
Objective: On completion of the lesson the student will understand the term binomial product and be capable of expanding and simplifying an expression.
60Graphing binomialsBinomial products with negative multiplier
Objective: On completion of the lesson the student will understand specific terms and be prepared to expand and simplify different monic binomial products.
61Graphing binomialsBinomial products [non-monic].
Objective: On completion of the lesson, the student will have examined more complex examples with binomial products.
62Squaring binomialSquaring a binomial. [monic]
Objective: On completion of the lesson the student should understand the simple one-step process of squaring a monic binomial.
63Squaring binomialSquaring a binomial [non-monic].
Objective: On completion of the lesson the student will apply the same rule that is used with monic binomials.
64FactorisingExpansions leading to the difference of two squares
Objective: On completion of the lesson the student will understand expansions leading to differences of 2 squares.
65Algebraic expressions-productsProducts in simplification of algebraic expressions
Objective: On completion of the lesson the student will understand simplification of algebraic expressions in step-by-step processing.
66Algebraic expressions-larger expansionsAlgebraic Expressions – Larger expansions.
Objective: On completion of the lesson the student will be capable of expanding larger algebraic expressions.
67Algebra-highest common factorHighest common factor.
Objective: On completion of the lesson the student will be capable of turning a simple algebraic expression into the product of a factor in parentheses and identifying the highest common factors of the whole expression.
68Factors by groupingFactors by grouping.
Objective: On completion of the lesson the student will be able to complete the process given just two factors for the whole expression.
69Difference of 2 squaresDifference of two squares
Objective: On completion of the lesson the student understand the difference of two squares and be capable of recognising the factors.
70Common fact and diffCommon factor and the difference of two squares
Objective: On completion of the lesson the student will be aware of common factors and recognise the difference of two squares.
71Quadratic trinomialsQuadratic trinomials [monic] – Case 1.
Objective: On completion of the lesson the student will understand the factorisation of quadratic trinomial equations with all terms positive.
72Factorising quadsFactorising quadratic trinomials [monic] – Case 2.
Objective: On completion of the lesson the student will accurately identify the process if the middle term of a quadratic trinomial is negative.
73Factorising quadsFactorising quadratic trinomials [monic] – Case 3.
Objective: On completion of the lesson the student will have an increased knowledge on factorising quadratic trinomials and will understand where the 2nd term is positive and the 3rd term is negative.
74Factorising quadsFactorising quadratic trinomials [monic] – Case 4.
Objective: On completion of the lesson the student will understand how to factorise all of the possible types of monic quadratic trinomials and specifcally where the 2nd term and 3rd terms are negative.
75Factorising quadsFactorisation of non-monic quadratic trinomials
Objective: On completion of the lesson the student will be capable of factorising any quadratic trinomial.
76Factorising quadsFactorisation of non-monic quadratic trinomials – moon method
Objective: On completion of the lesson the student know two methods for factorisation of quadratic trinomials including the cross method.
77Sum/diff 2 cubesSum and difference of two cubes.
Objective: On completion of the lesson the student will be cognisant of the sum and difference of 2 cubes and be capable of factorising them.
78Algebraic fractionsSimplifying algebraic fractions.
Objective: On completion of the lesson the student should be familiar with all of the factorisation methods presented to this point.
79Trigonometry-ratiosTrigonometric ratios.
Objective: On completion of the lesson the student will be able to identify the hypotenuse, adjacent and opposite sides for a given angle in a right angle triangle. The student will be able to label the side lengths in relation to a given angle e.g. the side c is op
80Trigonometry-ratiosUsing the calculator.
Objective: On completion of the lesson the student will be able to use the calculator to find values for the sine, cosine and tangent ratios of acute angles.
81Trigonometry-ratiosUsing the trigonometric ratios to find unknown length. [Case 1 Sine].
Objective: On completion of the lesson the student will be able to use the sine ratio to calculate lengths and distances.
82Trigonometry-ratiosUsing the trigonometric ratios to find unknown length. [Case 2 Cosine].
Objective: On completion of the lesson the student will be able to use the cosine ratio to find the length of the adjacent side of a right angle triangle.
83Trigonometry-ratiosUsing the trigonometric ratios to find unknown length. [Case 3 Tangent Ratio].
Objective: On completion of the lesson the student will be able to use the tangent ratio to calculate the length of the opposite side in a right angle triangle.
84Trigonometry-ratiosUnknown in the denominator. [Case 4].
Objective: On completion of the lesson the student will understand how to use the trig ratios to calculate lengths and distances when the denominator is unknown.
85Trigonometry-compassBearings – the compass.
Objective: On completion of the lesson the student will be able to identify compass bearings, compass bearings with acute angles and 3 figure bearings from true north.
86Trigonometry-elevationAngles of elevation and depression.
Objective: On completion of the lesson the student will be able to identify angles of depression and angles of elevation, and the relationship between them.
87Trigonometry-practicalTrigonometric ratios in practical situations.
Objective: On completion of the lesson the student will be able to use trigonometric ratios to solve problems involving compass bearings and angles of depression and elevation.
88Trigonometry-ratiosUsing the calculator to find an angle given a trigonometric ratio.
Objective: On completion of the lesson the student will be capable of using a calculator to find the value of an unknown angle when given a trigonometric ratio.
89Trigonometry- ratiosUsing the trigonometric ratios to find an angle in a right-angled triangle.
Objective: On completion of the lesson the student will be able to find the value of an unknown angle in a right angle triangle given the lengths of 2 of the sides.
90Trigonometry-exact ratiosTrigonometric ratios of 30., 45. and 60. – exact ratios.
Objective: On completion of the lesson the student will be able to find the exact sine, cosine and tangent ratios for the angles 30., 45.and 60.
91Trigonometry-cosine ruleThe cosine rule to find an unknown side. [Case 1 SAS].
Objective: On completion of the lesson the student will be able to use the cosine rule to find the length of an unknown side of a triangle knowing 2 sides and the included angle.
92Trigonometry-cosine ruleThe cosine rule to find an unknown angle. [Case 2 SSS].
Objective: On completion of the lesson the student will be able to find the size of an unknown angle of a triangle using the cosine rule given the lengths of the 3 sides.
93Trigonometry-sine ruleThe sine rule to find an unknown side. Case 1.
Objective: On completion of the lesson the student will be able to use the Sine rule to find the length of a particular side when the student is given the sizes of 2 of the angles and one of the sides.
94Trigonometry-sine ruleThe sine rule to find an unknown angle. Case 2.
Objective: On completion of the lesson the student will be able to use the sine rule to find an unknown angle when given 2 sides and a non-included angle.
95Trigonometry-areasThe area formula
Objective: On completion of the lesson the student will be able to use the sine formula for finding the area of a triangle given 2 sides and the included angle.
96Quadratic equationsIntroduction to quadratic equations.
Objective: On completion of the lesson the student will understand simple quadratic equations.
97Quadratic equationsQuadratic equations with factorisation.
Objective: On completion of the lesson the student will be able to find both roots of a quadratic equation by factorising.
98Quadratic equationsSolving quadratic equations.
Objective: On completion of the lesson the student will have gained more confidence in working with quadratic equations.
99Quadratic equationsCompleting the square
Objective: On completion of the lesson the student will understand the process of completing the square.
100Quadratic equationsSolving quadratic equations by completing the square
Objective: On completion of the lesson the student will understand the reasoning behind completing the square.
101Quadratic equationsThe quadratic formula
Objective: On completion of the lesson the student will be familiar with the quadratic formula.
102Quadratic equationsProblem solving with quadratic equations
Objective: On completion of the lesson the student will be able to express a problem as a quadratic equation and then solve it.
103Quadratic equationsSolving simultaneous quadratic equations graphically
Objective: On completion of the lesson the student will better understand why quadratic equations have two solutions and will be capable of solving quadratic equations and problems graphically..
104Coordinate Geometry-the planeDistance formula.
Objective: On completion of the lesson the student will be able to calculate the distance between any two points on the number plane and interpret the results.
105Coordinate Geometry-midpoint, slopeMid-point formula
Objective: On completion of the lesson the student will be able to understand the mid point formula and use it practically.
106Coordinate Geometry-gradientGradient
Objective: On completion of the lesson the student will be able to calculate the gradient of a line given its inclination, or angle to the positive direction of the x-axis; or its rise and run.
107Coordinate Geometry-gradientGradient formula.
Objective: On completion of the lesson the student will be able to calculate the gradient of a line given any two points on the line and also be capable of checking whether 3 or more points lie on the same line and what an unknown point will make to parallel lines.
108Coordinate Geometry-straight lineThe straight line.
Objective: On completion of the lesson the student will be able to draw a line which is parallel to either axis and comment on its gradient, where that gradient exists.
109Coordinate Geometry-slope, etc.Lines through the origin.
Objective: On completion of the lesson the student will be able to draw a line which passes through the origin of the form y=mx and comment on its gradient compared to the gradients of other lines through the origin and use the information to solve problems.
110Coordinate Geometry-equation of lineGeneral form of a line and the x and y Intercepts.
Objective: On completion of the lesson the student will be able to change the equation of a straight line from the form, written as y=mx+c, into the general form and vice versa.
111Coordinate Geometry-interceptSlope intercept form of a line.
Objective: On completion of the lesson the student will be able to find the slope and intercept given the equation and given the slope and intercept, derive the equation.
112Coordinate Geometry-point slopePoint slope form of a line
Objective: On completion of the lesson the student will understand how to derive the equation of a straight line given the gradient and a point on the line.
113StatisticsFrequency distribution table
Objective: On completion of the lesson the student will be able to construct a frequency distribution table for raw data and interpret the table.
114StatisticsFrequency histograms and polygons
Objective: On completion of the lesson the student will be able to construct and interpret frequency histograms and polygons.
115StatisticsRelative frequency
Objective: On completion of the lesson the student will be able to collect, display and make judgements about data.
116StatisticsThe range.
Objective: On completion of the lesson the student will be able to determine the range of data in either raw form or in a frequency distribution table.
117Statistic-probabilityThe mode
Objective: On completion of the lesson the student will understand how to find the mode from raw data, a frequency distribution table and polygon.
118Statistic-probabilityThe mean
Objective: On completion of the lesson the student will be able to calculate means from raw data and from a frequency table using an fx column.
119Statistic-probabilityThe median
Objective: On completion of the lesson the student will be able to determine the median of a set of raw scores
120Statistic-probabilityCumulative frequency
Objective: On completion of the lesson the student will be able to construct cumulative frequency columns, histograms and polygons.
121Statistic-probabilityCalculating the median from a frequency distribution
Objective: On completion of the lesson the student will be able to determine the median from a cumulative frequency polygon.
122Statistic-probabilityProbability of Simple Events
Objective: On completion of the lesson the student will be able to understand the probability of simple events.
123Statistic-probabilityRolling a pair of dice
Objective: On completion of the lesson the student will be capable of ascertaining the probability of certain results when 2 dice are thrown simultaneously.
124Statistic-probabilityExperimental probability
Objective: On completion of this lesson the student will be able to find the probabilities in an experimental trial.
125Statistic-probabilityTree diagrams – not depending on previous outcomes
Objective: On completion of the lesson the student will be confident in drawing tree diagrams to list outcomes of a multi stage probability problem and then finding probabilities of certain events not depending on previous outcomes.
126Statistic-probabilityTree diagrams – depending on previous outcomes
Objective: On completion of the lesson the student will be confident in drawing tree diagrams to list outcomes of other multi stage probability problems and then finding probabilities of certain events depending on previous outcomes.
127Statistic-probabilityThe complementary result ..
Objective: On completion of the lesson the student will be capable of ascertaining the probability of certain results where the complementary event is involved.
128Statistic-probabilityP[A or B] When A and B are both mutually and NOT mutually exclusive
Objective: On completion of this lesson the student will be able to distinguish between mutually exclusive and non mutually exclusive events and be able to find the probabilities of both.
129Statistic-probabilityBinomial Theorem – Pascal’s Triangle
Objective: On completion of this lesson the student will use Pascal’s triangle and the binomial theorem to write the expansion of binomial expressions raised to integer powers.
130Statistic-probabilityBinomial probabilities using the Binomial Theorem
Objective: On completion of the lesson the student will be able to solve certain types of probability questions using the binomial theorem
131Statistic-probabilityCounting techniques and ordered selections – permutations
Objective: On completion of this lesson the student will be competent in using some new counting techniques used for solving probability.
132Statistic-probabilityUnordered selections – combinations
Objective: On completion of the lesson the student will be able to use the formula, n c r both with and without a calculator and be able to use it to solve probability problems where unordered selections happen.
133MatricesBasic concepts – Matrices
Objective: On completion of the lesson the student will have had an introduction to matrices
134MatricesAddition and subtraction of matrices
Objective: On completion of this lesson the student will be able to recognise when addition and subtraction of matrices is possible, and perform these operations.
135MatricesScalar matrix multiplication
Objective: On completion of this lesson the student will be able to perform scalar multiplication of a matrix.
136MatricesMultiplication of one matrix by another matrix
Objective: On completion of the lesson the student will be able to state whether matrix by matrix multiplication is possible, predict the order of the answer matrix, and then perform matrix by matrix multiplication.
137MatricesTranslation in the number plane
Objective: On completion of the lesson the student will be able to place ordered pairs into a matrix, then perform translation by addition using a transformation matrix, then extract ordered pairs from an answer matrix.
138MatricesTranslation by matrix multiplication
Objective: On completion of the lesson the student will be able to convert ordered pairs to elements of a matrix, multiply matrices together, where possible, and interpret the answer matrix on a number plane.
139TransformationsSpecial transformations – reflections, rotations and enlargements.
Objective: On completion of the lesson the student will be able to perform transformations: to rotate, reflect and change the size of various shapes and or points where applicable.
140VectorsVectors
Objective: On completion of the lesson the student will be able to represent a vector in matrix and diagrammatic form, as well as add two vectors using matrices and/or a diagram.
141Graphing-polynomialsGraphing complex polynomials: quadratics with no real roots
Objective: On completion of the lesson the student will be able to determine whether a quadratic has real or complex roots and then graph it.
142Graphing-polynomialsGeneral equation of a circle: determine and graph the equation
Objective: On completion of the lesson the student will be able to solve these types of problems. Working with circles will also help the student in the topic of circle geometry, which tests the student’s skills in logic and reasoning.
143Graphing-cubic curvesGraphing cubic curves
Objective: On completion of this lesson the student will be able to graph a cubic given its equation or derive the equation of a cubic given its graph or other relevant information.
144Absolute value equationsAbsolute value equations
Objective: On completion of this lesson the student will be able to relate to graphs involving the absolute value function. The student will be capable of graphing the function given its equation and be able to solve for the intersection of an absolute value functio
145Rect.hyperbolaThe rectangular hyperbola.
Objective: On completion of the lesson the student will be able to analyse and graph a rectangular hyperbola and describe its important features.
146Exponential functionThe exponential function.
Objective: On completion of the lesson the student will be able to graph any equation in the form y equals a to the power x, where a is any positive real number apart from 1.
147Log functionsLogarithmic functions.
Objective: On completion of this lesson the student will be able to define basic logarithmic functions and describe the relationship between logarithms and exponents including graph logarithmic functions. The student will understand the relationship between logarit
148Statistics – grouped dataCalculating mean, mode and median from grouped data
Objective: On completion of the lesson the student will be capable of identifying class centres, get frequency counts and determine the mean and mode values.
149Statistics – Range and dispersionRange as a measure of dispersion
Objective: On completion of the lesson the student will be able to determine the range and using it in decision making.
150Statistics – SpreadMeasures of spread
Objective: On completion of the lesson the student will be able to find the standard deviation, using a data set or a frequency distribution table and calculator.
151Statistics – Standard deviationStandard deviation applications
Objective: On completion of the lesson the student will be able to use standard deviation as a measure of deviation from a mean.
152Statistics – Standard deviationNormal distribution
Objective: On completion of the lesson the student will be able to use the standard deviation of a normal distribution to find the percentage of scores within ranges.
153Statistics – Interquartile rangeMeasures of spread: the interquartile range
Objective: On completion of the lesson the student will be able to find the upper and lower quartiles and the interquartile range
154Co-ordinate Geometry-Two point formulaTwo point formula: equation of a line which joins a pair of points.
Objective: On completion of the lesson the student will be able to calculate the equation of a line given any two named points on the line.
155Co-ordinate Geometry-Intercept formIntercept form of a straight line: find the equation when given x and y
Objective: On completion of the lesson the student will have an effective and efficient method for calculating the equation of a straight line.
156Co-ordinate Geometry-Parallel lines equationsParallel lines: identify equation of a line parallel to another
Objective: On completion of the lesson the student will be able to decide if two or more lines are parallel or not and to solve problems involving parallel lines.
157Co-ordinate Geometry-Perpendicular linesPerpendicular lines.
Objective: On completion of the lesson the student will be able to derive the equation of a line, given that it is perpendicular to another stated line.
158Co-ordinate Geometry-InequalitiesInequalities on the number plane.
Objective: On completion of the lesson the student will be able to derive the expression for an inequality given its graph. The student will also be able to solve some problems using inequalities.
159Co-ordinate Geometry-TheoremsPerpendicular distance
Objective: On completion of the lesson the student will be able to derive the formula to calculate the distance between a given point and a given line. The student will also be able to calculate the distance between parallel lines.
160Co-ordinate Geometry-TheoremsLine through intersection of two given lines
Objective: On completion of the lesson the student will be able to calculate the equation of a line which goes through the intersection of two given lines and also through another named point or satisfies some other specified condition.
161Co-ordinate Geometry-TheoremsAngles between two lines
Objective: On completion of the lesson the student will be able to calculate the angle between given lines and derive the equation of a line given its angle to another line.
162Co-ordinate Geometry-TheoremsInternal and external division of an interval
Objective: On completion of the lesson the student will be able to divide an interval according to a given ratio and to calculate what point divides an interval in a given ratio for both internal and external divisions.
163TranslationsTransformations – reflections
Objective: On completion of the lesson the student will be able to take a pre-image and using the appropriate techniques, accurately show its image after reflection.
164Trig-reciprocal ratiosReciprocal ratios.
Objective: On completion of the lesson the student will be able to identify and use the reciprocal trigonometric ratios of sine, cosine and tan, that is, the cosecant, secant and cotangent ratios.
165Trig complementary anglesComplementary angle results.
Objective: On completion of the lesson the student will understand how to establish the complementary angle results for the sine and cosine ratios and then how to use these results to solve trig equations.
166Trig identitiesTrigonometric identities
Objective: On completion of the lesson the student will be able to simplify trigonometrical expressions and solve trigonometry equations using the knowledge of trig identities.
167Trig larger anglesAngles of any magnitude
Objective: On completion of the lesson the student will be able to find the trigonometric values of angles of any magnitude by assigning angles to the four quadrants of the circle.
168Trig larger anglesTrigonometric ratios of 0°, 90°, 180°, 270° and 360°
Objective: On completion of the lesson the student will learn how to find the Trigonometric Ratios of 0, 90, 180, 270 and 360 degrees.
169Graph sineGraphing the trigonometric ratios – I Sine curve.
Objective: On completion of the lesson the student will recognise and draw the sine curve exploring changes in amplitude and period.
170Graph cosineGraphing the trigonometric ratios – II Cosine curve.
Objective: On completion of the lesson the student will know how to recognise and draw the cosine curve exploring changes in amplitude and period.
171Graphs tan curveGraphing the trigonometric ratios – III Tangent curve.
Objective: On completion of the lesson the student will know how to recognise and draw the tan curve.
172Graph reciprocalsGraphing the trigonometric ratios – IV Reciprocal ratios.
Objective: On completion of the lesson the student will know how to recognise and draw the curves of the reciprocal ratios: cosec, sec and cot.
173Logarithms-Power of 2Powers of 2.
Objective: On completion of the lesson the student should be able to convert between logarithmic statements and index statements to the power of 2.
174Logarithms-Equations and logsEquations of type log x to the base 3 = 4.
Objective: On completion of the lesson the student will have an enhanced understanding of the definition of a logarithm and how to use it to find an unknown variable which in this case is the number from which the logarithm evolves.
175Logarithms-Equations and logsEquations of type log 32 to the base x = 5.
Objective: On completion of the lesson the student will have an enhanced understanding of the definition of a logarithm and how to use it to find an unknown variable which in this case is the base from which the number came.
176Logarithms-Log lawsLaws of logarithms.
Objective: On completion of the lesson the student will be familiar with 5 logarithm laws.
177Logarithms-Log laws expansionUsing the log laws to expand logarithmic expressions.
Objective: On completion of the lesson the student will be able to use the log laws to expand logarithmic expressions.
178Logarithms-Log laws simplifyingUsing the log laws to simplify expressions involving logarithms.
Objective: On completion of the lesson the student will be able to simplify logarithmic expressions using the log laws.
179Logarithms-Log laws numbersUsing the log laws to find the logarithms of numbers.
Objective: On completion of the lesson the student will have an enhanced understanding of the use of the log laws and be able to do more applications with numerical examples.
180Logarithms-Equations and logsEquations involving logarithms.
Objective: On completion of the lesson the student will be able to solve equations with log terms.
181Logarithms-Logs to solve equationsUsing logarithms to solve equations.
Objective: On completion of the lesson the student will be able to use logarithms to solve index equations with the assistance of a calculator.
182Logarithms-Change base formulaChange of base formula
Objective: On completion of the lesson the student will have seen the change of base formula for logarithms and be capable of using it to change the logarithm of one base to another base.
183Logarithms-Graph-log curveThe graph of the logarithmic curve
Objective: On completion of the lesson the student will be able to draw a logarithmic curve to a given base and know the general properties of log curves.
184Logarithms-Log curvesWorking with log curves.
Objective: On completion of the lesson the student will be able to solve problems with log curves
185Algebra-polynomialsIntroduction to polynomials
Objective: On completion of the lesson the student will understand all the terminology associated with polynomials and be able to judge if any algebraic expression is a polynomial or not.
186Algebra-polynomialsThe sum, difference and product of two polynomials.
Objective: On completion of the lesson the student will be able to add subtract and multiply polynomials and find the degrees of the answers.
187Algebra-polynomialsPolynomials and long division.
Objective: On completion of the lesson the student will understand the long division process with polynomials.
188Remainder theoremThe remainder theorem.
Objective: On completion of the lesson the student will understand how the remainder theorem works and how it can be applied.
189Remainder theoremMore on remainder theorem
Objective: On completion of the lesson the student will understand the remainder theorem and how it can be applied to solve some interesting questions on finding unknown coefficients of polynomials.
190Factor theoremThe factor theorem
Objective: On completion of the lesson the student will be able to use the factor theorem and determine if a term in the form of x minus a is a factor of a given polynomial.
191Factor theoremMore on the factor theorem
Objective: On completion of the lesson the student will fully understand the factor theorem and how it can be applied to solve some questions on finding unknown coefficients of polynomials.
192Factor theoremComplete factorisations using the factor theorem
Objective: On completion of the lesson the student will be able to factorise polynomials of a higher degree than 2 and to find their zeros.
193Polynomial equationsPolynomial equations
Objective: On completion of the lesson the student will be capable of solving polynomial equations given in different forms.
194Graphs, polynomialsGraphs of polynomials
Objective: On completion of the lesson the student will understand how to graph polynomials using the zeros of polynomials, the y intercepts and the direction of the curves.
195Roots quad equationsSum and product of roots of quadratic equations
Objective: On completion of the lesson the student will understand the formulas for the sum and product of roots of quadratic polynomials and how to use them. The student will understand how to form a quadratic equation given its roots.
196Roots quad equationsSum and product of roots of cubic and quartic equations
Objective: On completion of the lesson the student will be able to do problems on the sum and products of roots of cubic and quartic equations.
197Approx rootsMethods of approximating roots
Objective: On completion of the lesson the student will be capable of finding approximate roots of polynomial equations using half the interval method. The student will be able to make a number of applications of this rule within the one question.
198Newton’s approxNewton’s method of approximation
Objective: On completion of the lesson the student will be able to use Newton’s method in finding approximate roots of polynomial equations and be capable of more than one application of this method.
199Circle GeometryTheorem – Equal arcs on circles of equal radii subtend equal angles at the centre. Theorem – Equal angles at the centre of a circle on equal arcs.
Objective: On completion of the lesson the student will be able to prove that ‘Equal arcs on circles of equal radii, subtend equal angles at the centre’, and that ‘Equal angles at the centre of a circle stand on equal arcs.’ They should then be able to use these pro
200Circle GeometryTheorem – The perpendicular from the centre of a circle to a chord bisects the chord. Theorem – The line from the centre of a circle to the mid-point of the chord is perpendicular to the chord.
Objective: On completion of the lesson the student will be able to prove that ‘The perpendicular from the centre of a circle to a chord bisects the chord.’ and its converse theorem ‘The line from the centre of a circle to the mid-point of the chord is perpendicular’
201Circle GeometryTheorem – Equal chords in equal circles are equidistant from the centres. Theorem – Chords in a circle which are equidistant from the centre are equal.
Objective: On completion of the lesson the student will be able to prove that equal chords in equal circles are equidistant from the centre.
202Circle GeometryTheorem – The angle at the centre of a circle is double the angle at the circumference standing on the same arc.
Objective: On completion of the lesson the student will be able to prove that the angle at the centre of a circle is double the angle at the circumference standing on the same arc.
203Circle GeometryTheorem – Angles in the same segment of a circle are equal.
Objective: On completion of the lesson the student will be able to prove that the angles in the same segment are equal.
204Circle GeometryTheorem – The angle of a semi-circle is a right angle.
Objective: On completion of the lesson the student will be able to prove that ‘The angle of a semi-circle is a right-angle.’
205Circle GeometryTheorem – The opposite angles of a cyclic quadrilateral are supplementary.
Objective: On completion of the lesson the student will be able to prove that the opposite angles of a cyclic quadrilateral are supplementary.
206Circle GeometryTheorem – The exterior angle at a vertex of a cyclic quadrilateral equals the interior opposite angle.
Objective: On completion of the lesson the student will be able to prove that the exterior angle at a vertex of a cyclic quadrilateral equals the interior opposite.
207Circle GeometryTheorem – The tangent to a circle is perpendicular to the radius drawn to it at the point of contact.
Objective: On completion of the lesson the student will be able to prove that the tangent and the radius of a circle are perpendicular at the point of contact.
208Circle GeometryTheorem – Tangents to a circle from an external point are equal.
Objective: On completion of the lesson the student will be able to prove that tangents to a circle from an external point are equal.
209Circle GeometryTheorem – The angle between a tangent and a chord through the point of contact is equal to the angle in the alternate segment.
Objective: On completion of the lesson the student will be able to prove that the angle between a tangent and a chord through the point of contact is equal to the angle in the alternate segment.
210Sequences and SeriesGeneral sequences.
Objective: On completion of the lesson the student will be able to work out a formula from a given number pattern and then be able to find particular terms of that sequence using the formula.
211Sequences and SeriesFinding Tn given Sn.
Objective: On completion of the lesson the student will understand the concept that the sum of n terms of a series minus the sum of n minus one terms will yield the nth term.
212Arithmetic ProgressionThe arithmetic progression
Objective: On completion of the lesson the student will be able to test if a given sequence is an Arithmetic Progression or not and be capable of finding a formula for the nth term, find any term in the A.P. and to solve problems involving these concepts.
213Arithmetic ProgressionFinding the position of a term in an A.P.
Objective: On completion of the lesson the student will be able to solve many problems involving finding terms of an Arithmetic Progression.
214Arithmetic ProgressionGiven two terms of A.P., find the sequence.
Objective: On completion of the lesson the student will be able to find any term of an Arithmetic Progression when given two terms
215Arithmetic ProgressionArithmetic means
Objective: On completion of the lesson the student will be able to make an arithmetic progression between two given terms. This could involve finding one, two, or even larger number of arithmetic means.
216Arithmetic ProgressionThe sum to n terms of an A.P.
Objective: On completion of the lesson the student will understand the formulas for the sum of an Arithmetic Progression and how to use them in solving problems.
217Geometric ProgressionThe geometric progression.
Objective: On completion of the lesson the student will be able to test if a given sequence is a Geometric Progression or not and be capable of finding a formula for the nth term, find any term in the G.P. and to solve problems involving these concepts.
218Geometric ProgressionFinding the position of a term in a G.P.
Objective: On completion of the lesson the student will understand how to find terms in a geometric progression and how to apply it different types of problems.
219Geometric ProgressionGiven two terms of G.P., find the sequence.
Objective: On completion of this lesson the student will be able to solve all problems involving finding the common ratio of a Geometric Progression.
220CalculusLimits
Objective: On completion of the lesson the student will be able to solve problems using limiting sum rule.
221Calculus=1st prinDifferentiation from first principles.
Objective: On completion of the lesson the student will be able apply the first principles (calculus) formula to find the gradient of a tangent at any point on a continuous curve.
222Calculus=1st prinDifferentiation of y = x to the power of n.
Objective: On completion of the Calculus lesson the student will be able to differentiate a number of expressions involving x raised to the power of n.
223Calculus-differential, integMeaning of dy over dx – equations of tangents and normals.
Objective: On completion of the Calculus lesson the student will be able to apply differentiation and algebra skills to find the equation of the tangent and the normal to a point on a curve.
224Calculus-differential, integFunction of a function rule, product rule, quotient rule.
Objective: On completion of the Calculus lesson the student will understand how to use the chain rule, the product rule and the quotient rule.
225Calculus-differential, integIncreasing, decreasing and stationary functions.
Objective: On completion of the lesson the student will understand how to find the first derivative of various functions, and use it in various situations to identify increasing, decreasing and stationary functions.
226CalculusFirst Derivative – turning points and curve sketching
Objective: On completion of the Calculus lesson the student will be able to use the first derivative to find and identify the nature of stationary points on a curve.
227Calculus-2nd derivativeThe second derivative – concavity.
Objective: On completion of the Calculus lesson the student will be able to find a second derivative, and use it to find the domain over which a curve is concave up or concave down, as well as any points of inflexion.
228Sequences and Series-Geometric meansGeometric means.
Objective: On completion of the lesson the student will be able to make a geometric progression between two given terms. This could involve finding one, two, or even larger number of geometric means.
229Sequences and Series-Sum of gpThe sum to n terms of a G.P.
Objective: On completion of the lesson the student will understand the formulas and how to use them to solve problems in summing terms of a Geometric Progression (G.P).
230Sequences and Series-Sigma notationSigma notation
Objective: On completion of the G.P. lesson the student will be familiar with the sigma notation and how it operates.
231Sequences and Series-Sum-infinityLimiting sum or sum to infinity.
Objective: On completion of the lesson the student will have learnt the formula for the limiting sum of a G.P., the conditions for it to exist and how to apply it to particular problems.
232Sequences and Series-Recurring decimal infinityRecurring decimals and the infinite G.P.
Objective: On completion of the G.P. lesson the student will have understood how to convert any recurring decimal to a rational number.
233Sequences and Series-Compound interestCompound interest
Objective: On completion of the G.P. lesson the student will understand the compound interest formula and how to use it and adjust the values of r and n, if required, for different compounding periods.
234Sequences and Series-SuperannuationSuperannuation.
Objective: On completion of the lesson the student will understand the method of finding the accumulated amount of a superannuation investment using the sum formula for a G.P.
235Sequences and Series-Time paymentsTime payments.
Objective: On completion of the lesson the student will have examined examples carefully and be capable of setting out the long method of calculating a regular payment for a reducible interest loan.
236Sequences and SeriesApplications of arithmetic sequences
Objective: On completion of the lesson the student will be capable of problems involving practical situations with arithmetic series.
237Circle Geometry-chordsTheorem – The products of the intercepts of two intersecting chords are equal.
Objective: On completion of the lesson the student will be able to prove that ‘The product of the intercepts of two intersecting chords are equal.’, and use this result to complete questions that require this knowledge.
238Circle Geometry-tangentsTheorem – The square of the length of the tangent from an external point is equal to the product of the intercepts of the secant passing through this point. [Including Alternate Proof]
Objective: On completion of the lesson the student will be able to prove and apply ‘The square of the length of the tangent from an external point is equal to the product of the intercepts of the secant passing through this point ‘, and use this result to complete q
239Circle Geometry-cyclic quadsTheorem – If the opposite angles in a quadrilateral are supplementary then the quadrilateral is cyclic.
Objective: On completion of the lesson the student will be able to prove that a quadrilateral is cyclic using the supplementary angles theorem.
240Circle Geometry-subtendingTheorem – If an interval subtends equal angles at two points on the same side of it, then the end points of the interval and the two points are concyclic.
Objective: On completion of the lesson the student will be able to prove that ‘ If an interval subtends equal angles at two points on the same side of it, then the end points of the interval and the two points are concyclic’, and use this result to complete the ques
241Circle GeometryTheorem – When circles touch, the line of the centres passes through the point of contact.
Objective: On completion of the lesson the student will be able to prove that ‘ When two circles touch, the line of the centres passes through the point of contact’, and use this result to complete questions that require it.
242Circle Geometry-non-collinearTheorem – Any three non-collinear points lie on a unique circle whose centre is the point of concurrency of the perpendicular bisectors of the intervals joining these points.
Objective: On completion of the lesson the student will be able to prove that ‘ Any three non-collinear points lie on a unique circle whose centre is the point of concurrency of the perpendicular bisectors of the intervals joining these points’, and use this knowled
243Calculus – Curve sketchingCurve sketching
Objective: On completion of the Calculus lesson the student will be able to use the first and second derivatives to find turning points of a curve, identify maxima and minima, and concavity, then use this information to sketch a curve.
244Calculus – Maxima minimaPractical applications of maxima and minima
Objective: On completion of the lesson the student will be able to apply calculus to a suite of simple maxima or minima problems.
245Calculus – IntegrationIntegration – anti-differentiation, primitive function
Objective: On completion of the Calculus lesson the student will be able to use rules of integration to find primitives of some simple functions.
246Calculus – Computation areaComputation of an area
Objective: On completion of the Calculus lesson the student will be able to select an appropriate formula to calculate an area, re-arrange an expression to suit the formula, and use correct limits in the formula to evaluate an area.
247Calculus – Computation volumesComputation of volumes of revolution
Objective: On completion of the Calculus lesson the student will know how to choose an appropriate volume formula, re-arrange an expression to suit the formula, and then calculate a result to a prescribed accuracy.
248Calculus – Trapezoidal and Simpson’s rulesThe Trapezium rule and Simpson’s rule
Objective: On completion of the Calculus lesson the student will know how to calculate sub-intervals, set up a table of values, then apply the Trapezoidal Rule, or Simpson’s Rule to approximate an area beneath a curve.
249ExamExam – Advanced Level 2 (Year 14)
Objective: Exam
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Literacy

Kindergarten/Year 1 Literacy

#TOPICTITLE
1Do you like hamburgers?It’s the alphabet!
Objective: Students will develop their listening skills and practise saying the alphabet.
2It’s time to learn your A B C!The Alphabet! Full lesson available
Objective: Students will practise reading the letters of the alphabet and practise recognition of: a, b, c, d, e, f.
3Hello! How are you?Hello! I’m Lulu.
Objective: Students will develop their comprehension skills by reading, and listening to, a picture story in which they will meet some new friends.
4Hello! How are you?My name is Jack!
Objective: Students will develop their comprehension skills by reading, and listening to, a picture story in which new friends and new vocabulary are introduced.
5Eight Purple Stars!Ten Little Pandas Full lesson available
Objective: Students will read a picture story and practise the numbers 1-10.
6Eight Purple Stars!What colour is it?
Objective: Students will read and practise the words for basic colours. They will learn to answer the question: ‘What colour is …?’ and reply with ‘It’s …’.
7Fun at SchoolThis is my father and mother.
Objective: Students will develop their reading skills. They will read a picture story and become familiar with ‘This is …’ and ‘That is …’.
8What’s this?It’s my green eraser!
Objective: Students will develop their language skills by reading, and listening to, a picture story in which some possessive pronouns are used. They will also become familiar with the questions: ‘What’s this?’ and ‘What’s that?’.
9What’s this?What’s in the box?
Objective: Students will develop their language skills by reading, and listening to, a picture story. They will learn to ask and answer the question ‘Is it a …?’.
10A New Boy at SchoolA Letter from Peter
Objective: Students will develop their language skills by reading, and listening to, a picture story. They will also revise colours and numbers, and learn to talk about their families.
11A New Boy at SchoolWhere’s my dog?
Objective: Students will develop their language skills by reading, and listening to, a picture story. They will also become familiar with some prepositions.
12My FamilyWhere’s the red kite?
Objective: Students will develop their comprehension skills by reading and listening to a picture story. They will also practise the use of ‘in’, ‘on’ and ‘under’.
13My FamilyMy Family Tree
Objective: Students will develop their comprehension skills by reading a text about the family. They will increase their vocabulary for family relationships and occupations, and they will learn to use ‘this’ and ‘that’.
14About PeopleThat’s his cow!
Objective: Students will develop their comprehension skills by reading a text about occupations. They will also learn about the possessive adjectives ‘his’, ‘her’ and ‘their’.
15About PeopleThese are my feet.
Objective: Students will develop their comprehension skills and vocabulary by reading a text about the parts of the body. They will practise using ‘this’ and ‘these’, and learn to form plurals.
16Animal Mania!What animal is that? Full lesson available
Objective: Students will develop their comprehension skills by reading a text about animals. Students will practise asking and answering questions, and they will revise colours and numbers.
17Animal Mania!A Very Tall Giraffe
Objective: Students will develop their comprehension skills by reading a text about animals in which more adjectives are used.
18We like to play games.Holidays!
Objective: Students will develop their comprehension skills by reading a picture story about fun activities to do in the holidays. Students will practise using ‘let’s’ and learn the days of the week.
19We like to play games.What’s your favourite? Full lesson available
Objective: Students will develop their comprehension skills by reading a picture story about activities they like to do. They will learn to talk about their preferences.
20Do you like hamburgers?At a Café
Objective: Students will develop their comprehension skills by reading a picture story about food preferences.
21Do you like hamburgers?This is Bobby.
Objective: Students will develop their comprehension skills by reading a picture story. They will also learn to ask questions about likes and dislikes.
22It’s time to learn your A B C!It’s time!
Objective: Students will develop their comprehension skills by reading a short text about asking and telling the time on the hour and half hour.
23It’s time to learn how to tell the time!No school! It’s Sunday!
Objective: Students will increase their vocabulary and develop their reading skills by reading a short text about daily routines.
24It’s time to learn how to tell the time!Where are my clothes?
Objective: Students will increase their vocabulary and develop their reading skills by reading a short text about items of clothing. They will learn about the prepositions – ‘on’, ‘under’, ‘in’.
25SentencesThe Sentence
Objective: To identify and use complete sentences.
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Year 2 Literacy

#TOPICTITLE
1It’s time to learn your A B C!It’s time!
Objective: Students will develop their comprehension skills by reading a short text about asking and telling the time on the hour and half hour.
2It’s time to learn how to tell the time!No school! It’s Sunday!
Objective: Students will increase their vocabulary and develop their reading skills by reading a short text about daily routines.
3It’s time to learn how to tell the time!Where are my clothes?
Objective: Students will increase their vocabulary and develop their reading skills by reading a short text about items of clothing. They will learn about the prepositions – ‘on’, ‘under’, ‘in’.
4School and PlayI have lots of subjects! Full lesson available
Objective: Students will practise reading, and saying words and simple sentences to describe school subjects and the days of the week.
5School and PlayOn the Weekend
Objective: Students will practise reading and recognising simple sentences about weekend activities.
6It’s Christmas time!It’s time for Maths!
Objective: Students will develop their comprehension skills by reading a short text in which quarter past, quarter to, 5 past, 5 to, 10 past and 10 to the hour are used.
7It’s Christmas time!Festivals are fun!
Objective: Students will develop their comprehension skills by reading a short text about Christmas and Chinese New Year.
8I walk in the summer.The Seasons
Objective: Students will develop their reading skills and practise new words to describe the seasons.
9I walk in the summer.How do you go to school?
Objective: Students will develop their reading skills and practise new words that describe modes of transport. They will also ask and answer questions about transport to different places.
10What’s the weather like today?It’s a sunny day!
Objective: Students will develop their comprehension skills by reading a story about the weather.
11What are you doing now?Shhhh! Dad is sleeping!
Objective: Students will develop their comprehension skills by reading a story in which the present continuous tense is used.
12What are you doing now?We are having a picnic!
Objective: Students will develop their comprehension skills by reading a story in which the present continuous tense is used to ask and answer questions.
13They’re usually in the lounge room.Hide and Seek
Objective: Students will develop their comprehension skills by reading a story about finding people.
14They’re usually in the lounge room.An Unusual Day
Objective: Students will develop their comprehension skills by reading a story in which the simple present and the continuous present tenses are used. They will also learn the little words that help to sequence a story.
15Left! Right! Let’s go!Where’s the shop?
Objective: Students will develop their comprehension skills by reading a story in which simple directions are given using the imperative.
16Left! Right! Let’s go!Ladies and Gentlemen!
Objective: Students will develop their comprehension skills by reading a story in which the present continuous tense is used to talk about a concert.
17Up, down and around we go!Roller-coaster Ride
Objective: Students will develop their comprehension skills by reading a story in which routes are described using the present continuous tense.
18Up, down and around we go!Catch that car!
Objective: Students will develop their comprehension skills by reading a story which focuses on street directions and places.
19SentencesThe Sentence
Objective: To identify and use complete sentences.
20SpellingSpelling
Objective: To use the ‘Look, Say, Write’ method for learning spelling. Plus 300 spelling words.
21CapitalisationCapital Letters 1
Objective: To use capital letters correctly: to begin sentences, for proper nouns.
22Vowels and ConsonantsVowels and Consonants
Objective: To identify and use vowels and consonants.
23Common NounsCommon Nouns
Objective: To show a common noun names an object or thing.
24PunctuationSentence Endings
Objective: To use full-stops, question marks, exclamation marks and capital letters correctly.
25VerbsSimple Verbs
Objective: To identify and use verbs. To understand a verb can be: an action or doing word, a state of being or ownership.
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Year 3 Literacy

#TOPICTITLE
1We’re very busy.Fast Food
Objective: Students will increase their vocabulary and develop their reading skills by reading what Peter and Chen say about fast food. They will also practise using the present tense, and asking and answering questions using ‘do’.
2We’re very busy.On the farm Full lesson available
Objective: Students will increase their vocabulary and develop their reading skills by reading, in which the present continuous tense is used.
3I can’t do that!This is a great park!
Objective: Students will increase their vocabulary and develop their reading skills by reading a story about a park. They will also become familiar with the use of ‘this’ and ‘these’ for things that are near and ‘that’ and ‘those’ for things that are far away.
4I can’t do that!I can speak English!
Objective: Students will increase their vocabulary and develop their reading skills by reading a short speech about what a person ‘can’ and ‘can’t’ do.
5Can I look at your new kite?Can I help you?
Objective: Students will increase their vocabulary and develop their reading skills by reading a text using ‘can’ and ‘can’t’ to make offers and requests.
6Oh, no! Not the Doctor!Doctor, what have I got?
Objective: Students will increase their vocabulary and develop their reading skills by reading a text about illnesses.
7Oh, no! Not the Doctor!There is a zoo in Sydney!
Objective: Students will increase their vocabulary and develop their reading skills by reading a text in which ‘There is’ and ‘There are’ in relation to zoo animals is used.
8It’s all in the future!One World, One Dream
Objective: Students will increase their vocabulary and develop their reading skills by reading a text in which ‘going to’ is used to talk about the future.
9It’s all in the future!You are going to have a great time!
Objective: Students will increase their vocabulary and develop their reading skills by reading a text in which ‘going to’ is used to make future plans.
10Maybe she’ll be funny!My animal friends are wonderful!
Objective: Students will develop their language skills by reading, and listening to, a picture story. They will revise adjectives that describe personality.
11Maybe she’ll be funny!What will Fido do next?
Objective: Students will develop their language skills by reading, and listening to, a picture story. They will also become familiar with the use of ‘will’ to express a future action.
12First we’ll see a big city.Sydney: It’s special!
Objective: Students will develop their language skills by reading, and listening to, a picture story. They will focus on the use of adjectives to describe cities.
13First we’ll see a big city.Then we’ll eat it!
Objective: Students will develop their comprehension skills by reading, and listening to, a picture story. They will also become familiar with the use of ‘will’ when describing a process.
14We need to take a metal pan.What’s it made of? Full lesson available
Objective: Students will develop their comprehension skills by reading, and listening to, a picture story about what things are made of. They will also revise prepositions of location.
15We need to take a metal pan.They want to go camping.
Objective: Students will develop their comprehension skills by reading, and listening to, a picture story about a camping trip. They will also become familiar with the terms ‘need to’ and ‘want to’.
16First we’ll go to the eighth floor.Let’s make pancakes!
Objective: Students will develop their language skills by reading, and listening to, an illustrated recipe. They will also revise words that help them tell a story – ‘First’, ‘Then’, ‘Next’, ‘After that’ and ‘Finally’.
17First we’ll go to the eighth floor.Who’s shopping at Sunsets?
Objective: Students will develop their language skills by reading, and listening to, a picture story about shopping in a department store. They will also revise some prepositions and learn some more in simple phrases.
18On Monday I’ll buy new jeans.Whose Shoes?
Objective: Students will develop their comprehension skills by reading, and listening to, a picture poem about shopping. They will also revise colours and pronouns.
19On Monday I’ll buy new jeans.Chen’s Holiday Plans
Objective: Students will develop their comprehension skills by reading a short story about Chen’s plans for his holidays. They will also practise verbs.
20SentencesThe Sentence
Objective: To identify and use complete sentences.
21SpellingSpelling
Objective: To use the ‘Look, Say, Write’ method for learning spelling. Plus 300 spelling words.
22CapitalisationCapital Letters 1
Objective: To use capital letters correctly: to begin sentences, for proper nouns.
23Vowels and ConsonantsVowels and Consonants
Objective: To identify and use vowels and consonants.
24Common NounsCommon Nouns
Objective: To show a common noun names an object or thing.
25PunctuationSentence Endings
Objective: To use full-stops, question marks, exclamation marks and capital letters correctly.
26VerbsSimple Verbs
Objective: To identify and use verbs. To understand a verb can be: an action or doing word, a state of being or ownership.
27VowelsVowels – Long and Short
Objective: To identify long and short vowel sounds, and their use.
28PluralsPlurals 1 – simple
Objective: To form plurals (more than one) by adding ‘s’ and ‘es’ correctly.
29Basic Dictionary UseBasic Dictionary Use
Objective: To find words arranged alphabetically and identify word meanings in dictionaries.
30NounsProper Nouns
Objective: To show a proper noun is used to name a person, place or a title.
31AdjectivesAdjectives
Objective: To show an adjective is a word that describes a noun.
32AdverbsAdverbs
Objective: To identify and use adverbs. To understand an adverb tells something about (modifies) a verb.
33PronounsPronouns
Objective: To show a pronoun is used in place of a noun.
34Parts of Speech Part bConjunctions
Objective: To identify and use conjunctions correctly.
35Common ErrorsCommon Errors in spelling and punctuation
Objective: To identify and eliminate common errors.
36PunctuationCommas 1
Objective: To use commas: to list, to make meaning clear, and when writing the date.
37ContractionsContractions
Objective: To identify and use contractions.
38Other Places and Other TimesA New Penfriend
Objective: Students will develop their reading comprehensions skills by reading a letter of introduction to a penfriend. They will also practise the present continuous tense and become familiar with vocabulary about different nationalities.
39Other Places and Other TimesWill we have robots?
Objective: Students will develop their comprehension skills by reading a text in which the future tense is used.
40It was different yesterday.We all change.
Objective: Students will increase their vocabulary, particularly adjectives, and develop their reading skills. They will practise using the verb’ to be’ in the present and past tenses.
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Year 4 Literacy

#TOPICTITLE
1It was different yesterday.Kate worked hard!
Objective: Students will increase their vocabulary, particularly adjectives, and develop their reading skills. They will also practise using the simple past tense.
2We learned about another culture.Guess who we met today!
Objective: Students will increase their vocabulary and develop their reading skills. They will also practise using the simple past tense of irregular verbs.
3We learned about another culture.How the world was made!
Objective: Students will increase their vocabulary and develop their reading skills. They will also learn to identify some storytelling words and narrative structures.
4They won!Australian Boy Wins!
Objective: Students will increase their vocabulary and develop their comprehension skills by reading a newspaper report. They will also practise using the ‘why/because’ structure.
5They won!Always be honest!
Objective: Students will increase their vocabulary and develop their comprehension skills by reading a fable in which the simple past tense of regular and irregular verbs is used.
6There was an accident!A Police Report
Objective: Students will increase their vocabulary and develop their reading skills by reading a simple report about an accident in which the simple past tense is used.
7There was an accident!I feel sick!
Objective: Students will increase their vocabulary and develop their reading skills by reading a narrative about a visit to the doctor.
8Let’s compare!A Maths Lesson
Objective: Students will develop their comprehension skills by reading, and listening to, a picture story. They will focus on the use of comparative adjectives.
9Let’s compare!Be careful! They’re dangerous!
Objective: Students will develop their comprehension skills by reading, and listening to, a picture story in which instructions are given using the imperative. They will also learn more comparative adjectives.
10A New CD PlayerThe Perfect CD Player
Objective: Students will develop their comprehension skills by reading a text in which comparative adjectives are used.
11A New CD PlayerWhich do you prefer?
Objective: Students will develop their comprehension skills by reading a story about preferences.
12That’s a great idea!A Visit to the Art Gallery
Objective: Students will develop their comprehension skills by reading a text in which irregular comparative adjectives are used.
13That’s a great idea!That’s a great idea!
Objective: Students will develop their comprehension skills by reading a story in which plans for an activity are made.
14Let’s find out!About the Stars
Objective: Students will develop their comprehension skills by reading a text in which superlative adjectives are used and facts are given.
15Let’s find out!Two Great Countries
Objective: Students will develop their comprehension skills by reading a text in which China and Australia are described and compared.
16The Most Beautiful PlanetThis is my country. Full lesson available
Objective: Students will develop their comprehension skills by reading a text about two countries. They will also practise using superlative adjectives.
17The Most Beautiful PlanetWhen the rain stops!
Objective: Students will develop their comprehension skills by reading a text in which ‘going to’ and ‘will’ are used to talk about future plans.
18CapitalisationCapital Letters 1
Objective: To use capital letters correctly: to begin sentences, for proper nouns.
19Common NounsCommon Nouns
Objective: To show a common noun names an object or thing.
20PunctuationSentence Endings
Objective: To use full-stops, question marks, exclamation marks and capital letters correctly.
21VerbsSimple Verbs
Objective: To identify and use verbs. To understand a verb can be: an action or doing word, a state of being or ownership.
22VowelsVowels – Long and Short
Objective: To identify long and short vowel sounds, and their use.
23PluralsPlurals 1 – simple
Objective: To form plurals (more than one) by adding ‘s’ and ‘es’ correctly.
24Basic Dictionary UseBasic Dictionary Use
Objective: To find words arranged alphabetically and identify word meanings in dictionaries.
25NounsProper Nouns
Objective: To show a proper noun is used to name a person, place or a title.
26AdjectivesAdjectives
Objective: To show an adjective is a word that describes a noun.
27AdverbsAdverbs
Objective: To identify and use adverbs. To understand an adverb tells something about (modifies) a verb.
28PronounsPronouns
Objective: To show a pronoun is used in place of a noun.
29Parts of Speech Part bConjunctions
Objective: To identify and use conjunctions correctly.
30PunctuationCommas 1
Objective: To use commas: to list, to make meaning clear, and when writing the date.
31ContractionsContractions
Objective: To identify and use contractions.
32There weren’t many …There weren’t any flowers!
Objective: Students will increase their vocabulary, develop their reading skills and practise using the simple past tense of the verb ‘to be’.
33There weren’t many …A Shopping List
Objective: Students will increase their vocabulary, develop their reading skills and practise asking questions using ‘How much …’ and ‘How many …’.
34It couldn’t be mine!Uncle Bill said we could!
Objective: Students will increase their vocabulary, develop their reading skills and practise using ‘could’ and ‘couldn’t’ to refer to past events.
35It couldn’t be mine!The Riding Lesson
Objective: Students will build vocabulary, answer comprehension questions and practise using possessive pronouns and adjectives.
36Clean up Australia!Too much rubbish!
Objective: Students will increase their vocabulary and reading comprehension skills. They will also practise using ‘too much’, ‘too many’ and ‘enough’.
37Clean up Australia!Sports Report
Objective: Students will increase their vocabulary and reading comprehension skills. They will also practise using the adverbs ‘well’ and ‘badly’.
38Friends all over the WorldNow I can do it by myself.
Objective: Students will increase their vocabulary and develop their reading skills. They will practise using ‘too much’, ‘too many’ and ‘enough’.
39Friends all over the WorldA Letter to a Pen Pal
Objective: Students will increase their vocabulary, develop their comprehension skills and practise using the simple present tense.
40What’s the problem?What’s the matter?
Objective: Students will read and comprehend a passage in which words are used to describe feelings.
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Year 5 Literacy

#TOPICTITLE
1What’s the problem?A School Outing
Objective: Students will read and comprehend a notice. They will learn about the use of ‘should’ and ‘shouldn’t’.
2When I was YoungLife used to be different.
Objective: Students will develop their comprehension skills by reading, and listening to, an interview. They will learn how to describe finished activities using ‘used to’.
3When I was YoungHave you tidied your room?
Objective: Students will develop their comprehension skills by reading, and listening to, a rhyme. They will also learn the imperfect tense and its use.
4Space and TimeWe’ve done our research. Full lesson available
Objective: Students will develop their comprehension skills by reading, and listening to, a picture story. They will learn some irregular verbs in the present perfect tense.
5Space and TimeWe’ve written a poem!
Objective: Students will develop their comprehension skills by reading, and listening to, a rhyme. They will learn more irregular verbs in the present perfect tense.
6Choices and PlacesA New Jacket
Objective: Students will develop their comprehension skills by reading a text in which preferences are discussed and comparisons are made.
7Choices and PlacesHe has travelled a lot.
Objective: Students will develop their comprehension skills by reading a text in which the present perfect and the simple past tenses are used.
8What’s the best way to do it?A Text Message
Objective: Students will develop their comprehension skills by reading a text which focuses on the use of ‘have to’ and adverbs of time.
9What’s the best way to do it?What will we make?
Objective: Students will develop their comprehension skills by reading a text in which the children discuss a project.
10Class CampDear Parents, …
Objective: Students will develop their comprehension skills by reading a letter which uses a variety of verb tenses.
11Class CampA Postcard from Kate
Objective: Students will develop their comprehension skills by reading an informal letter in which the simple past tense of the verb is used.
12SentencesThe Sentence
Objective: To identify and use complete sentences.
13CapitalisationCapital Letters 1
Objective: To use capital letters correctly: to begin sentences, for proper nouns.
14Common NounsCommon Nouns
Objective: To show a common noun names an object or thing.
15PunctuationSentence Endings
Objective: To use full-stops, question marks, exclamation marks and capital letters correctly.
16VerbsSimple Verbs
Objective: To identify and use verbs. To understand a verb can be: an action or doing word, a state of being or ownership.
17Basic Dictionary UseBasic Dictionary Use
Objective: To find words arranged alphabetically and identify word meanings in dictionaries.
18NounsProper Nouns
Objective: To show a proper noun is used to name a person, place or a title.
19AdjectivesAdjectives
Objective: To show an adjective is a word that describes a noun.
20AdverbsAdverbs
Objective: To identify and use adverbs. To understand an adverb tells something about (modifies) a verb.
21PronounsPronouns
Objective: To show a pronoun is used in place of a noun.
22Parts of Speech Part bConjunctions
Objective: To identify and use conjunctions correctly.
23PunctuationCommas 1
Objective: To use commas: to list, to make meaning clear, and when writing the date.
24ContractionsContractions
Objective: To identify and use contractions.
25Parts of Speech Part hArticles and Demonstratives
Objective: To identify and use articles and demonstratives correctly.
26Antonyms and SynonymsAntonyms and Synonyms
Objective: To identify and use antonyms and synonyms.
27Spelling SkillsSpelling
Objective: To correctly spell words after adding suffixes: ‘ing’, ‘ed’, ‘er’, ‘est’.
28Spelling SkillsSyllabification
Objective: To improve spelling by dividing words correctly into syllables.
29PluralsPlurals 2 – special rules
Objective: To form plurals with special rules: words ending in ‘y’ and ‘f’.
30NounsCollective and Abstract Nouns
Objective: To identify and use collective and abstract nouns.
31VerbsVerbs – Tense
Objective: To identify and use the correct tense of verbs: past, present and future.
32AdjectivesAdjectives – Comparatives and Superlatives
Objective: To identify and use comparative and superlative adjectives.
33Parts of Speech Part aPrepositions
Objective: To identify and use prepositions correctly.
34Punctuation Skills Part bQuotation Marks
Objective: To use quotation marks for direct speech.
35Common ErrorsCommon Errors in writing
Objective: To identify and eliminate common errors.
36Apostrophe – PossessionApostrophe – Possession
Objective: To use the apostrophe of possession correctly.
37MnemonicsSpelling – Mnemonics
Objective: To identify and use mnemonics to assist in correct spelling.
38PrefixesPrefixes
Objective: The identify and use prefixes.
39SuffixesSuffixes
Objective: The identify and use suffixes.
40Similes and MetaphorsSimiles and Metaphors
Objective: To identify and use similes and metaphors.
41Figurative LanguageOnomatopoeia, Assonance and Alliteration
Objective: To identify, and make use of, onomatopoeia, assonance, and alliteration.
42Homonyms – Homophones and HomographsHomonyms – Homophones and Homographs
Objective: To identify and use correctly homonyms, both homophones and homographs.
43Advanced Dictionary UseAdvanced Dictionary Use
Objective: To use dictionaries by identifying all the information provided. To use a thesaurus.
44CapitalisationCapital Letters 2
Objective: To use capital letters correctly: in titles and letters.
45AdjectivesAdjectives – from Nouns and Verbs
Objective: To create adjectives from nouns and verbs. E.g. China – Chinese
46There’s a …It’s famous! Full lesson available
Objective: Students will increase their vocabulary, develop their reading skills and practise using the verb ‘to be’.
47There’s a …There are lots of things in my town.
Objective: Students will increase their reading comprehension skills and their vocabulary. They will also become familiar with the use of ‘There is …’ and ‘There are …’.
48Hobbies and FestivalsCollecting things
Objective: Students will develop their reading skills and increase their vocabulary. They will learn the verb ‘to have’. They will also learn to use ‘this’ and ‘these’ correctly.
49Hobbies and FestivalsMy favourite festival
Objective: Students will build vocabulary; begin to use conjunctions ‘and’, ‘but’ or ‘because’.
50What can you do?Letter to a penfriend
Objective: Students will be able to read and understand an informal letter and use the present tense of ‘can’ and ‘can’t’.
51What’s Homestay?Simple Present
Objective: Learn the correct structure for the simple present.
52What’s Homestay?Simple Past
Objective: Learn the correct structure for the past simple.
53Setting offPresent perfect
Objective: Learn the correct structure for the present perfect.
54Here we are!Adjectives
Objective: Learn the use of adjectives.
55Here we are!Comparatives and superlatives
Objective: Learn how to use comparatives and superlatives in English.
56A new homePrepositions of location
Objective: Learn about prepositions of location.
57Let’s hit the beach!Modals of obligation
Objective: Learn about modals of obligation.
58Amazing Aussie animalsPresent continuous
Objective: Learn about the present continuous tense.
59Amazing Aussie animalsPast continuous
Objective: Learn about the past continuous tense.
60Amazing Aussie animalsGiving facts and opinions
Objective: Present phrases that ask for and give opinions.
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Year 6 Literacy

#TOPICTITLE
1A visit to the ZooAbout Koalas
Objective: Students will be able to answer questions about the text, identify the target language point ‘like’ + the infinitive) and distinguish between simple facts and opinions.
2A visit to the ZooI’m a zookeeper.
Objective: Students will be able to answer comprehension questions on reading, increase their vocabulary and use the frequency adverbs, ‘always’, ‘sometimes’, ‘often’ and ‘never’.
3What do you want to do?Big Dreams
Objective: Students will be able to answer comprehension questions, increase their vocabulary and be able to use ‘want’ + the infinitive in positive and negative sentences, and in a question.
4What do you want to do?Fruit Bowl
Objective: Students will be able to read and understand the text, to answer questions and to notice the use of the imperative form.
5It’s going to be fun!It’s going to be fantastic!
Objective: Students will develop their comprehension skills by reading, and listening to, a story. They will learn how to talk about the future using the verb ‘to go + the infinitive’.
6It’s going to be fun!What’s on the menu?
Objective: Students will develop their comprehension skills by reading various menus. They will also learn to ask questions politely.
7We are all doing things!I’m having a great time!
Objective: Students will develop their comprehension skills by reading a letter which focuses on the use of the present continuous tense.
8We are all doing things!Who can help me?
Objective: Students will develop their comprehension skills by reading a story in which requests for help are made.
9To Australia and Back!Getting There! Full lesson available
Objective: Students will develop their comprehension skills by reading a text about travel plans. They will also learn about coordinate conjunctions.
10To Australia and Back!I came back!
Objective: Students will develop their comprehension skills by reading a text in which Chen talks about going home to China. They will also revise the simple past tense.
11Famous PeopleBruce Lee
Objective: Students will develop their comprehension skills by reading a text about Bruce Lee. They will also practise the use of the simple past tense and learn more irregular verbs.
12Famous PeopleAlexander Bell
Objective: Students will develop their comprehension skills by reading a text about Alexander Bell. They will also learn how to use ‘could’ and ‘couldn’t’, and review questions using ‘Wh’ words.
13Finding Buster!Finding Buster! – A Movie Review
Objective: Students will develop their reading comprehension skills and increase their vocabulary by reading a movie review. They will also learn how to use the conjunction ‘because’ to answer ‘why’ questions.
14Finding Buster!I’m going to be busy!
Objective: Students will develop their reading comprehension skills by reading a story about plans for the weekend. They will revise the use of the verb ‘to go’ in the present tense + the infinitive to talk about the future.
15SentencesThe Sentence
Objective: To identify and use complete sentences.
16Common NounsCommon Nouns
Objective: To show a common noun names an object or thing.
17NounsProper Nouns
Objective: To show a proper noun is used to name a person, place or a title.
18AdjectivesAdjectives
Objective: To show an adjective is a word that describes a noun.
19AdverbsAdverbs
Objective: To identify and use adverbs. To understand an adverb tells something about (modifies) a verb.
20PronounsPronouns
Objective: To show a pronoun is used in place of a noun.
21Parts of Speech Part bConjunctions
Objective: To identify and use conjunctions correctly.
22Parts of Speech Part hArticles and Demonstratives
Objective: To identify and use articles and demonstratives correctly.
23Antonyms and SynonymsAntonyms and Synonyms
Objective: To identify and use antonyms and synonyms.
24Spelling SkillsSyllabification
Objective: To improve spelling by dividing words correctly into syllables.
25PluralsPlurals 1 – simple
Objective: To form plurals (more than one) by adding ‘s’ and ‘es’ correctly.
26PluralsPlurals 2 – special rules
Objective: To form plurals with special rules: words ending in ‘y’ and ‘f’.
27NounsCollective and Abstract Nouns
Objective: To identify and use collective and abstract nouns.
28VerbsVerbs – Tense
Objective: To identify and use the correct tense of verbs: past, present and future.
29AdjectivesAdjectives – Comparatives and Superlatives
Objective: To identify and use comparative and superlative adjectives.
30Parts of Speech Part aPrepositions
Objective: To identify and use prepositions correctly.
31Punctuation Skills Part bQuotation Marks
Objective: To use quotation marks for direct speech.
32Apostrophe – PossessionApostrophe – Possession
Objective: To use the apostrophe of possession correctly.
33MnemonicsSpelling – Mnemonics
Objective: To identify and use mnemonics to assist in correct spelling.
34PrefixesPrefixes
Objective: The identify and use prefixes.
35SuffixesSuffixes
Objective: The identify and use suffixes.
36Similes and MetaphorsSimiles and Metaphors
Objective: To identify and use similes and metaphors.
37Figurative LanguageOnomatopoeia, Assonance and Alliteration
Objective: To identify, and make use of, onomatopoeia, assonance, and alliteration.
38Homonyms – Homophones and HomographsHomonyms – Homophones and Homographs
Objective: To identify and use correctly homonyms, both homophones and homographs.
39Advanced Dictionary UseAdvanced Dictionary Use
Objective: To use dictionaries by identifying all the information provided. To use a thesaurus.
40CapitalisationCapital Letters 2
Objective: To use capital letters correctly: in titles and letters.
41AdjectivesAdjectives – from Nouns and Verbs
Objective: To create adjectives from nouns and verbs. E.g. China – Chinese
42PronounsPronouns 2
Objective: To recognise and use personal, possessive and relative pronouns.
43Commas 2Commas 2
Objective: To use commas: to separate places, to separate clauses within sentences, and when using direct speech.
44Conjunctions – SentencesConjunctions – Sentences
Objective: To use conjunctions to increase the variety of sentence structure in written expression.
45PhrasesPhrases
Objective: To identify and use phrases including adjectival and adverbial phrases.
46ClausesClauses
Objective: To identify and use clauses including adjectival, adverbial and noun clauses.
47Simple and Compound VerbsSimple and Compound Verbs
Objective: To identify and use simple and compound verbs.
48Auxiliary VerbsAuxiliary Verbs
Objective: To identify and use auxiliary verbs within compound verbs.
49Subject-Verb AgreementSubject-Verb Agreement
Objective: To identify and use correct tense, number and person in forming verbs.
50Verb tense – CompoundVerb tense – Compound
Objective: To identify and use ‘to be’ and ‘to have’ with the appropriate participle of the main verb.
51PluralsPlurals 3 – Unusual
Objective: To create unusual plurals: for words ending in ‘o’; by changing the vowels or by adding letters.
52Common ErrorsCommon Errors in verb usage, spelling and punctuation
Objective: To identify and eliminate common errors.
53PunctuationPunctuation – Various
Objective: To use hyphens, dashes, apostrophes, quotation marks, parentheses and brackets correctly.
54Vocabulary DevelopmentVocabulary
Objective: To identify and use better words than ‘got’ and ‘said’.
55What do you like to do?Adverbs of frequency
Objective: Learn about the past continuous tense.
56BBQ Party!Expressions of quantity
Objective: Learn the words used to express quantity.
57BBQ Party!Sequence markers
Objective: Learn the words used in sequences or ordering.
58Big day out!First and second conditionals
Objective: Learn the use of first conditionals. Learn the use of second conditionals.
59Big day out!The future with ‘will’ and ‘going to’
Objective: Learn the uses of ‘will’ and ‘going to’ to talk about the future.
60Thanks and goodbyeTime clauses
Objective: Learn how to use time clauses.
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Year 7 Literacy

#TOPICTITLE
1Have you met?Hello!
Objective: Use the present tense verb to be (am, is and are) correctly in written and spoken work. Answer comprehension questions and apply am, is and are correctly.
2Have you met?The world in a classroom! Full lesson available
Objective: At the end of this lesson, students will have learnt how to ask a question in English, and how to use the definite and indefinite articles.
3Let’s get organised!First week fun!
Objective: Students will be able to read a schedule of activities, including a number of time expressions, and answer comprehension questions about the information given.
4Let’s get organised!Organising your subject timetable.
Objective: Students will read scheduling information, correctly name school subjects in English, use information to complete a weekly timetable and answer simple present questions in affirmative and negative.
5I like your hat!We are all different!
Objective: At the end of the reading students will be able to answer comprehension questions and use the correct pronouns to replace nouns. They will use correct forms to indicate a person, number, gender or ownership.
6I like your hat!Fashion tips from Junko!
Objective: At the end of the reading students will be able to answer comprehension questions and identify different articles of clothing. They will be able to use descriptive adjectives and possessive adjectives.
7Where is it?Getting around the ILC campus.
Objective: At the end of the reading students will be able to locate specific places based on descriptions using prepositions of location.
8Where is it?Come to my party!
Objective: At the end of this lesson students will be able to give and understand simple directions using the imperative mode.
9How much is it?Shopping list.
Objective: Students will read and answer comprehension questions, recognise count and uncount nouns and be able to use some/any and much/many correctly.
10How much is it?Where can I buy it?
Objective: Students will read a brochure describing different types of shops. They will be able to answer comprehension questions and recognise and use comparative adjectives.
11Tell me what happened!Eyewitness.
Objective: Students will read and understand a text talking about a past experience using the simple past tense with regular and irregular verbs, both positive and negative.
12Tell me what happened!She screamed loudly!
Objective: Students will read and understand a short newspaper article using the past tense. They will answer comprehension questions and practise identifying and using adverbs and expressions of past time.
13What’s your favourite?Would you like to play?
Objective: At the end of the reading students will be able to elicit information from a written text. They will be able to recognise the use of the infinitive form ‘to + verb’ to express purpose.
14What’s your favourite?Do you enjoy going out?
Objective: Students will read ads for different leisure activities. They will be able to answer comprehension questions and recognise the use of gerunds. (verb + ing)
15May I take your order?Are you eating well?
Objective: At the end of the lesson students will be able to answer comprehension questions based on the text and recognise and use the present continuous.
16May I take your order?Would you like some tea?
Objective: Students will be able to answer comprehension questions and distinguish between ‘like’ and ‘would like.
17What will we do?What will we do there?
Objective: At the end of the reading students will be able to elicit information from a reading and identify the use of ‘will’ and ‘going to’ to show future plans and hopes.
18What will we do?What kind of job?
Objective: At the end of this lesson students will be able to answer questions about different jobs and occupations. They will also be able to talk about ongoing future activities using the ‘present continuous’ form and ‘before’, ‘when’, ‘after’ and ‘as soon as’ in future tense.
19Let’s celebrateMerry Christmas!
Objective: At the end of this lesson students will be able to answer comprehension questions and distinguish between the present perfect and simple past.
20Let’s celebrateThe Diwali Festival.
Objective: At the end of this reading students will be able to describe an event in some detail using the present perfect/past simple and identify the differences between conjunctions ‘and’, ‘but’ and ‘because’.
21SentencesThe Sentence
Objective: To identify and use complete sentences.
22CapitalisationCapital Letters 1
Objective: To use capital letters correctly: to begin sentences, for proper nouns.
23PunctuationSentence Endings
Objective: To use full-stops, question marks, exclamation marks and capital letters correctly.
24Common NounsCommon Nouns
Objective: To show a common noun names an object or thing.
25NounsProper Nouns
Objective: To show a proper noun is used to name a person, place or a title.
26VerbsSimple Verbs
Objective: To identify and use verbs. To understand a verb can be: an action or doing word, a state of being or ownership.
27AdjectivesAdjectives
Objective: To show an adjective is a word that describes a noun.
28AdverbsAdverbs
Objective: To identify and use adverbs. To understand an adverb tells something about (modifies) a verb.
29PronounsPronouns
Objective: To show a pronoun is used in place of a noun.
30Parts of Speech Part bConjunctions
Objective: To identify and use conjunctions correctly.
31Conjunctions – SentencesConjunctions – Sentences
Objective: To use conjunctions to increase the variety of sentence structure in written expression.
32CapitalisationCapital Letters 2
Objective: To use capital letters correctly: in titles and letters.
33Parts of Speech Part hArticles and Demonstratives
Objective: To identify and use articles and demonstratives correctly.
34Antonyms and SynonymsAntonyms and Synonyms
Objective: To identify and use antonyms and synonyms.
35PunctuationCommas 1
Objective: To use commas: to list, to make meaning clear, and when writing the date.
36Commas 2Commas 2
Objective: To use commas: to separate places, to separate clauses within sentences, and when using direct speech.
37Spelling SkillsSpelling
Objective: To correctly spell words after adding suffixes: ‘ing’, ‘ed’, ‘er’, ‘est’.
38Spelling SkillsSyllabification
Objective: To improve spelling by dividing words correctly into syllables.
39PluralsPlurals 2 – special rules
Objective: To form plurals with special rules: words ending in ‘y’ and ‘f’.
40NounsCollective and Abstract Nouns
Objective: To identify and use collective and abstract nouns.
41VerbsVerbs – Tense
Objective: To identify and use the correct tense of verbs: past, present and future.
42AdjectivesAdjectives – Comparatives and Superlatives
Objective: To identify and use comparative and superlative adjectives.
43Parts of Speech Part aPrepositions
Objective: To identify and use prepositions correctly.
44Punctuation Skills Part bQuotation Marks
Objective: To use quotation marks for direct speech.
45Apostrophe – PossessionApostrophe – Possession
Objective: To use the apostrophe of possession correctly.
46MnemonicsSpelling – Mnemonics
Objective: To identify and use mnemonics to assist in correct spelling.
47PrefixesPrefixes
Objective: The identify and use prefixes.
48SuffixesSuffixes
Objective: The identify and use suffixes.
49Similes and MetaphorsSimiles and Metaphors
Objective: To identify and use similes and metaphors.
50Figurative LanguageOnomatopoeia, Assonance and Alliteration
Objective: To identify, and make use of, onomatopoeia, assonance, and alliteration.
51Homonyms – Homophones and HomographsHomonyms – Homophones and Homographs
Objective: To identify and use correctly homonyms, both homophones and homographs.
52Advanced Dictionary UseAdvanced Dictionary Use
Objective: To use dictionaries by identifying all the information provided. To use a thesaurus.
53Vocabulary DevelopmentVocabulary
Objective: To identify and use better words than ‘got’ and ‘said’.
54PhrasesPhrases
Objective: To identify and use phrases including adjectival and adverbial phrases.
55ClausesClauses
Objective: To identify and use clauses including adjectival, adverbial and noun clauses.
56Simple and Compound VerbsSimple and Compound Verbs
Objective: To identify and use simple and compound verbs.
57Auxiliary VerbsAuxiliary Verbs
Objective: To identify and use auxiliary verbs within compound verbs.
58Subject-Verb AgreementSubject-Verb Agreement
Objective: To identify and use correct tense, number and person in forming verbs.
59Verb tense – CompoundVerb tense – Compound
Objective: To identify and use ‘to be’ and ‘to have’ with the appropriate participle of the main verb.
60PluralsPlurals 3 – Unusual
Objective: To create unusual plurals: for words ending in ‘o’; by changing the vowels or by adding letters.
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Year 8 Literacy

#TOPICTITLE
1What’s Homestay?Want to improve your English?
Objective: Learn how to elicit information from an advertisement and text.
2What’s Homestay?Homestay application
Objective: Learn how to fill in an application form.
3Setting offDestination ‘Downunder’
Objective: Expand vocabulary, read and understand a travel brochure.
4Setting offA letter to the Carters Full lesson available
Objective: Read and understand an informal letter of introduction.
5Here we are!Who are the Carters?
Objective: Elicit information from a letter about people’s physical appearance.
6Here we are!My new family
Objective: Learn how to elicit information about personality traits from the text.
7A new homeThis is our house.
Objective: Read a description of a house using prepositions of location.
8A new homeOur room!
Objective: Read a text using prepositions of location.
9Let’s hit the beach!Meet Tim. He’s a lifesaver.
Objective: Elicit information to answer questions from the text. Identify strong versus mild obligation.
10Let’s hit the beach!Be safe at the beach this summer!
Objective: Read and understand a safety pamphlet for Australian beaches. Identify imperatives in the reading.
11Amazing Aussie animalsMarsupials
Objective: Identify factual information within a text, answer questions and recognise a topic sentence.
12Amazing Aussie animalsWhen we were watching …
Objective: Read postcards about Australian animals. Identify past and present continuous.
13What do you like to do?Would you like to join?
Objective: Select factual information from a text to answer questions. Identify the different ways to use like, like to and would like to.
14What do you like to do?How often do you …?
Objective: Use adverbs of frequency and calculate how often activities occur.
15BBQ Party!A famous Aussie dessert
Objective: Answer comprehension questions and identify expressions of quantity.
16BBQ Party!A new ‘barbie’!
Objective: Read a set of instructions and complete activities based on comprehension and sequencing details.
17Big day out!The big three Full lesson available
Objective: Answer comprehension questions and identify first and second conditionals.
18Big day out!The big plan
Objective: Identify the different uses of ‘going to’. Use different ways of expressing time.
19Thanks and goodbyeMy Australian experience
Objective: Read a text and answer comprehension questions. Identify expressions about ‘feelings’.
20Thanks and goodbyeThank you letter
Objective: Recognise time clauses and identify ‘feeling’ adjectives.
21SentencesThe Sentence
Objective: To identify and use complete sentences.
22PunctuationSentence Endings
Objective: To use full-stops, question marks, exclamation marks and capital letters correctly.
23CapitalisationCapital Letters 2
Objective: To use capital letters correctly: in titles and letters.
24PronounsPronouns 2
Objective: To recognise and use personal, possessive and relative pronouns.
25Parts of Speech Part aPrepositions
Objective: To identify and use prepositions correctly.
26Punctuation Skills Part bQuotation Marks
Objective: To use quotation marks for direct speech.
27ContractionsContractions
Objective: To identify and use contractions.
28Common ErrorsCommon Errors in writing
Objective: To identify and eliminate common errors.
29Commas 2Commas 2
Objective: To use commas: to separate places, to separate clauses within sentences, and when using direct speech.
30Conjunctions – SentencesConjunctions – Sentences
Objective: To use conjunctions to increase the variety of sentence structure in written expression.
31PhrasesPhrases
Objective: To identify and use phrases including adjectival and adverbial phrases.
32ClausesClauses
Objective: To identify and use clauses including adjectival, adverbial and noun clauses.
33Subject-Verb AgreementSubject-Verb Agreement
Objective: To identify and use correct tense, number and person in forming verbs.
34Verb tense – CompoundVerb tense – Compound
Objective: To identify and use ‘to be’ and ‘to have’ with the appropriate participle of the main verb.
35Verbs – Active and Passive voiceVerbs – Active and Passive voice
Objective: To identify and use active and passive voice.
36Apostrophe – PossessionApostrophe – Possession
Objective: To use the apostrophe of possession correctly.
37Similes and MetaphorsSimiles and Metaphors
Objective: To identify and use similes and metaphors.
38Figurative LanguageOnomatopoeia, Assonance and Alliteration
Objective: To identify, and make use of, onomatopoeia, assonance, and alliteration.
39Common ErrorsCommon Errors in verb usage, spelling and punctuation
Objective: To identify and eliminate common errors.
40Colons and Semi-ColonsColons and Semi-Colons
Objective: To use colons and semi-colons correctly.
41Sentence Structure Part aSubject and Predicate
Objective: To identify the subject and predicate within a sentence and to understand they are the two main parts of a sentence.
42Regular and Irregular VerbsRegular and Irregular Verbs
Objective: To identify and use regular and irregular verbs in the present and past tense.
43Verbs – InfinitivesVerbs – Infinitives
Objective: To identify and use the infinitive form of the verb.
44Modal VerbsModal Verbs
Objective: To identify and use modal verbs with the appropriate form of the main verb.
45Participles – as Verbs and AdjectivesParticiples – as Verbs and Adjectives
Objective: To identify and use participles as verbs or adjectives as indicators of continuing action.
46GerundsGerunds
Objective: To identify and use gerunds.
47InterjectionsInterjections
Objective: To identify and use interjections correctly.
48PluralsPlurals 4 – Unusual
Objective: To use nouns whose singular and plural forms are the same. To use compound noun plurals.
49Sentence ImprovementSentence Improvement
Objective: To construct expressive sentences by using adjectives, adverbs, phrases and clauses.
50PunctuationPunctuation – Various
Objective: To use hyphens, dashes, apostrophes, quotation marks, parentheses and brackets correctly.
51Mass and Count NounsDeterminers
Objective: To identify and use determiners correctly with mass and count nouns.
52Transitive and Intransitive VerbsTransitive and Intransitive Verbs
Objective: To identify and use transitive and intransitive verbs.
53Case – Nouns and PronounsCase – Nouns, Pronouns and Possessive Adjectives
Objective: To identify the case of nouns and pronouns.
54Plurals of Foreign NounsPlurals 5 – Foreign
Objective: To form plurals of foreign nouns.
55Variety of ExpressionSentence Construction
Objective: To construct expressive and precise sentences to improve meaning.
56Figurative LanguageSymbolism and Personification
Objective: To identify, and make use of, symbolism and personification.
57Review of Figures of SpeechReview of Figures of Speech
Objective: To identify multiple uses of figures of speech within writing.
58Spelling SkillsWord Usage
Objective: To correctly choose words with similar spelling, sound and meaning.
59Essay Writing 1Essay Writing 1
Objective: To develop and write essays (expositions).
60Essay Writing 2Essay Writing 2
Objective: To develop and write essays.
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Year 9-12 Literacy

#TOPICTITLE
1SentencesThe Sentence
Objective: To identify and use complete sentences.
2VowelsVowels – Long and Short
Objective: To identify long and short vowel sounds, and their use.
3Basic Dictionary UseBasic Dictionary Use
Objective: To find words arranged alphabetically and identify word meanings in dictionaries.
4CapitalisationCapital Letters 1
Objective: To use capital letters correctly: to begin sentences, for proper nouns.
5PunctuationSentence Endings
Objective: To use full-stops, question marks, exclamation marks and capital letters correctly.
6Common NounsCommon Nouns
Objective: To show a common noun names an object or thing.
7NounsProper Nouns
Objective: To show a proper noun is used to name a person, place or a title.
8VerbsSimple Verbs
Objective: To identify and use verbs. To understand a verb can be: an action or doing word, a state of being or ownership.
9AdjectivesAdjectives
Objective: To show an adjective is a word that describes a noun.
10AdverbsAdverbs
Objective: To identify and use adverbs. To understand an adverb tells something about (modifies) a verb.
11PronounsPronouns
Objective: To show a pronoun is used in place of a noun.
12Parts of Speech Part bConjunctions
Objective: To identify and use conjunctions correctly.
13Common ErrorsCommon Errors in spelling and punctuation
Objective: To identify and eliminate common errors.
14Conjunctions – SentencesConjunctions – Sentences
Objective: To use conjunctions to increase the variety of sentence structure in written expression.
15CapitalisationCapital Letters 2
Objective: To use capital letters correctly: in titles and letters.
16Parts of Speech Part hArticles and Demonstratives
Objective: To identify and use articles and demonstratives correctly.
17Antonyms and SynonymsAntonyms and Synonyms
Objective: To identify and use antonyms and synonyms.
18PunctuationCommas 1
Objective: To use commas: to list, to make meaning clear, and when writing the date.
19Commas 2Commas 2
Objective: To use commas: to separate places, to separate clauses within sentences, and when using direct speech.
20Spelling SkillsSpelling
Objective: To correctly spell words after adding suffixes: ‘ing’, ‘ed’, ‘er’, ‘est’.
21Spelling SkillsSyllabification
Objective: To improve spelling by dividing words correctly into syllables.
22PluralsPlurals 1 – simple
Objective: To form plurals (more than one) by adding ‘s’ and ‘es’ correctly.
23PluralsPlurals 2 – special rules
Objective: To form plurals with special rules: words ending in ‘y’ and ‘f’.
24NounsCollective and Abstract Nouns
Objective: To identify and use collective and abstract nouns.
25VerbsVerbs – Tense
Objective: To identify and use the correct tense of verbs: past, present and future.
26AdjectivesAdjectives – from Nouns and Verbs
Objective: To create adjectives from nouns and verbs. E.g. China – Chinese
27AdjectivesAdjectives – Comparatives and Superlatives
Objective: To identify and use comparative and superlative adjectives.
28Parts of Speech Part aPrepositions
Objective: To identify and use prepositions correctly.
29Punctuation Skills Part bQuotation Marks
Objective: To use quotation marks for direct speech.
30Apostrophe – PossessionApostrophe – Possession
Objective: To use the apostrophe of possession correctly.
31MnemonicsSpelling – Mnemonics
Objective: To identify and use mnemonics to assist in correct spelling.
32PrefixesPrefixes
Objective: The identify and use prefixes.
33SuffixesSuffixes
Objective: The identify and use suffixes.
34Similes and MetaphorsSimiles and Metaphors
Objective: To identify and use similes and metaphors.
35Figurative LanguageOnomatopoeia, Assonance and Alliteration
Objective: To identify, and make use of, onomatopoeia, assonance, and alliteration.
36Homonyms – Homophones and HomographsHomonyms – Homophones and Homographs
Objective: To identify and use correctly homonyms, both homophones and homographs.
37Advanced Dictionary UseAdvanced Dictionary Use
Objective: To use dictionaries by identifying all the information provided. To use a thesaurus.
38Vocabulary DevelopmentVocabulary
Objective: To identify and use better words than ‘got’ and ‘said’.
39PhrasesPhrases
Objective: To identify and use phrases including adjectival and adverbial phrases.
40ClausesClauses
Objective: To identify and use clauses including adjectival, adverbial and noun clauses.
41Simple and Compound VerbsSimple and Compound Verbs
Objective: To identify and use simple and compound verbs.
42Auxiliary VerbsAuxiliary Verbs
Objective: To identify and use auxiliary verbs within compound verbs.
43Subject-Verb AgreementSubject-Verb Agreement
Objective: To identify and use correct tense, number and person in forming verbs.
44Verb tense – CompoundVerb tense – Compound
Objective: To identify and use ‘to be’ and ‘to have’ with the appropriate participle of the main verb.
45PluralsPlurals 3 – Unusual
Objective: To create unusual plurals: for words ending in ‘o’; by changing the vowels or by adding letters.
46PronounsPronouns 2
Objective: To recognise and use personal, possessive and relative pronouns.
47ContractionsContractions
Objective: To identify and use contractions.
48Common ErrorsCommon Errors in writing
Objective: To identify and eliminate common errors.
49Verbs – Active and Passive voiceVerbs – Active and Passive voice
Objective: To identify and use active and passive voice.
50Common ErrorsCommon Errors in verb usage, spelling and punctuation
Objective: To identify and eliminate common errors.
51Colons and Semi-ColonsColons and Semi-Colons
Objective: To use colons and semi-colons correctly.
52Sentence Structure Part aSubject and Predicate
Objective: To identify the subject and predicate within a sentence and to understand they are the two main parts of a sentence.
53Regular and Irregular VerbsRegular and Irregular Verbs
Objective: To identify and use regular and irregular verbs in the present and past tense.
54Verbs – InfinitivesVerbs – Infinitives
Objective: To identify and use the infinitive form of the verb.
55Modal VerbsModal Verbs
Objective: To identify and use modal verbs with the appropriate form of the main verb.
56Participles – as Verbs and AdjectivesParticiples – as Verbs and Adjectives
Objective: To identify and use participles as verbs or adjectives as indicators of continuing action.
57GerundsGerunds
Objective: To identify and use gerunds.
58InterjectionsInterjections
Objective: To identify and use interjections correctly.
59PluralsPlurals 4 – Unusual
Objective: To use nouns whose singular and plural forms are the same. To use compound noun plurals.
60Sentence ImprovementSentence Improvement
Objective: To construct expressive sentences by using adjectives, adverbs, phrases and clauses.
61PunctuationPunctuation – Various
Objective: To use hyphens, dashes, apostrophes, quotation marks, parentheses and brackets correctly.
62Mass and Count NounsDeterminers
Objective: To identify and use determiners correctly with mass and count nouns.
63Transitive and Intransitive VerbsTransitive and Intransitive Verbs
Objective: To identify and use transitive and intransitive verbs.
64Case – Nouns and PronounsCase – Nouns, Pronouns and Possessive Adjectives
Objective: To identify the case of nouns and pronouns.
65Plurals of Foreign NounsPlurals 5 – Foreign
Objective: To form plurals of foreign nouns.
66Variety of ExpressionSentence Construction
Objective: To construct expressive and precise sentences to improve meaning.
67Figurative LanguageSymbolism and Personification
Objective: To identify, and make use of, symbolism and personification.
68Review of Figures of SpeechReview of Figures of Speech
Objective: To identify multiple uses of figures of speech within writing.
69Spelling SkillsWord Usage
Objective: To correctly choose words with similar spelling, sound and meaning.
70Essay Writing 1Essay Writing 1
Objective: To develop and write essays (expositions).
71Essay Writing 2Essay Writing 2
Objective: To develop and write essays.
72Letter WritingPersonal and Business Letters
Objective: To use correct setting out and format for personal and business letters.
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