Canada is a federation of 10 provinces; Alberta, British Columbia, Manitoba, New Brunswick, Newfoundland and Labrador, Nova Scotia, Ontario, Prince Edward Island, Quebec, Saskatchewan, and under the Canadian Constitution, provincial governments have exclusive responsibility for all levels of education. There is no ministry or department of education at the federal level. Canada’s three territories; Yukon, Northwest Territories, and Nunavut – these do not have the same constitutional status as the provinces and are subject, in many areas, to more direct control by the federal government. With respect to education, however, the federal government has delegated this responsibility to the territorial governments, which, in turn, cooperate with the provinces to deliver postsecondary programs.

Whilst most of the differences between provinces are not typically subject-related and there is a consensus across Mathematics and literacy. Whatever level your family, you can rest assured that FutureSchool will complement and work hand-in-hand with their current schoolwork.

For those schools that also 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

Grade 1 Mathematics

#TOPICTITLE
1Study PlanStudy plan – Grade 1
Objective: On completion of the course formative assessment a tailored study plan is created identifying the lessons requiring revision.
2Basic mathematics part 1The Numbers 1 to 5
Objective: To match words and numbers from 1 to 5
3Basic mathematics part 1The Numbers 6 to 9
Objective: To write and match the numeral and word for the numbers 6 to 9
4Basic mathematics part 1Ordinal numbers 1-9
Objective: To match ordinal words and numbers with groups of 1-9 objects
5Basic mathematics part 1Zero and the Counting Numbers 1 to 9
Objective: To identify ‘0’, to establish numerical order (1-10) and to match spelling
6Basic mathematics part 1The Number 10
Objective: To identify 10 things and to match groups (1-10) of things to their number
7Basic mathematics part 1The Numbers 11 to 20
Objective: To write the numeral and word for the numbers 11 to 20 and to count up to 20
8Basic mathematics part 1The numbers 20 to 99
Objective: To recognise, name and add multiples of ten
9Basic mathematics part 1Using Place Value to Order Numbers up to 20
Objective: To use place value to understand the value of numbers up to 20
10Basic mathematics part 1Simple addition up to the number 10
Objective: To construct addition sentences (sum to 10) using + and =
11Basic mathematics part 1Simple addition up to the number 20
Objective: To add numbers 1 to 10 to a sum <20 using horizontal and vertical formats
12Basic mathematics part 1Subtraction up to the number 10
Objective: To subtract numbers 0 to 10 using pictures and numerals
13Basic mathematics part 1Subtraction: by comparison
Objective: To establish concept of more and to use subtraction to work out how many more
14Basic mathematics part 1Subtraction up to the number 20
Objective: To accurately subtract numbers 1-20 using horizontal and vertical formats
15TimeDays of the Week
Objective: To name and recognise the days of the week in order
16TimeDuration
Objective: To choose the difference between a short time and a long time
17TimeMonths and Seasons of the year
Objective: To name and order the months of the year, the number of days in each month and name the seasons in order
18TimeO’clock and half past using digital time
Objective: To use the terms ‘o’clock’ and ‘half past’ on a digital clock
19TimeO’clock and half past on the analogue clock
Objective: To read and use the terms o’clock and half past on an analogue clock
20Measurement – LengthCompare length by using informal units of measurement
Objective: To choose the most appropriate body part as a unit for measuring common objects
21Measurement – MassIntroducing the concept of mass
Objective: To distinguish between light and heavy objects
22Graphs – BasicPicture Graphs
Objective: To construct, read and interpret picture graphs
23SpacePosition
Objective: To use positional terms such as behind, next to and above, accurately
24ExamExam – Grade 1
Objective: Exam
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Grade 2 Mathematics

#TOPICTITLE
1Study PlanStudy plan – Grade 2
Objective: On completion of the course formative assessment a tailored study plan is created identifying the lessons requiring revision.
2Basic mathematics part 1The numbers 20 to 99
Objective: To recognise, name and add multiples of ten
3Basic mathematics part 1The number 100
Objective: To count by 1, 2, 5 and 10s to 100 and recognise that 10 x 10 = 100
4Basic mathematics part 1Addition up to the number 99
Objective: To add two 2-digit numbers to 99
5Basic mathematics part 1Multiples of 10 up to 100
Objective: To match numerals and word names for multiples of 10 and add multiples of 10
6Basic mathematics part 1Subtraction up to the number 20
Objective: To accurately subtract numbers 1-20 using horizontal and vertical formats
7Basic mathematics part 1Multiplication using equal groups
Objective: To identify multiplication as a number of groups of objects
8Basic mathematics part 1Multiplication using repeated addition
Objective: To perform repeated addition in preparation for multiplication
9Basic mathematics part 1The Multiplication Sign
Objective: To use the ‘x’ sign for repeated addition and perform 1-digit multiplication
10Basic mathematics part 1Multiplication with important facts
Objective: To practice multiplication facts to 10 x 10
11Basic mathematics part 1Strategies for division
Objective: To perform division by arranging objects into groups
12Basic mathematics part 2Solve and record division using known facts and sharing
Objective: To divide 100 by its factors and divide 2-digit multiples by factors 1 to 5
13FractionsUsing fractions 1/2, 1/4, 1/8 to describe part of a whole
Objective: To name and use the fractions 1/2, 1/4 and 1/8 in describing parts of a whole
14TimeDays of the Week
Objective: To name and recognise the days of the week in order
15TimeDuration
Objective: To choose the difference between a short time and a long time
16TimeMonths and Seasons of the year
Objective: To name and order the months of the year, the number of days in each month and name the seasons in order
17TimeO’clock and half past using digital time
Objective: To use the terms ‘o’clock’ and ‘half past’ on a digital clock
18TimeO’clock and half past on the analogue clock
Objective: To read and use the terms o’clock and half past on an analogue clock
19TimeQuarter past and quarter to
Objective: To associate the numerals 3, 6 and 9 with 15, 30 and 45 minutes
20Measurement – LengthCompare length by using informal units of measurement
Objective: To choose the most appropriate body part as a unit for measuring common objects
21Measurement – LengthUsing the metre as a formal unit to measure perimeter
Objective: To calculate the perimeter of shapes whose measurements are given in metres
22Measurement – LengthUsing the formal unit of the centimetre to measure length and perimeter
Objective: To use a ruler to find lengths and perimeters in centimetres
23Measurement – MassIntroducing the concept of mass
Objective: To distinguish between light and heavy objects
24Measurement – Advanced areaComparing and Ordering Areas
Objective: To estimate size order and count or estimate area as the number of cm squares
25SpaceUsing the prefix to determine polygons
Objective: To continue sequences of shapes and recognise prefixes and name polygons
26SpaceSpatial properties of quadrilaterals
Objective: To recall and recognise properties of different quadrilaterals
27SpaceRecognise and name prisms according to spatial properties
Objective: To name prisms according to the shape of the base
28Graphs – BasicPicture Graphs
Objective: To construct, read and interpret picture graphs
29Graphs – BasicColumn Graphs
Objective: To read and interpret column graphs
30Graphs – BasicLine Graphs
Objective: To read and interpret line graphs
31Graphs – BasicPie and Bar Graphs
Objective: To read and interpret pie and bar graphs
32SpacePosition
Objective: To use positional terms such as behind, next to and above, accurately
33ExamExam – Grade 2
Objective: Exam
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Grade 3 Mathematics

#TOPICTITLE
1Study PlanStudy plan – Grade 3
Objective: On completion of the course formative assessment a tailored study plan is created identifying the lessons requiring revision.
2Basic mathematics part 1The number 100
Objective: To count by 1, 2, 5 and 10s to 100 and recognise that 10 x 10 = 100
3Basic mathematics part 1The numbers 100 to 999
Objective: To use pictures and numerals for numbers 100 to 999 and count by 10s and 100s
4Basic mathematics part 1Addition up to the number 99
Objective: To add two 2-digit numbers to 99
5Basic mathematics part 1Subtraction with Word Problems
Objective: To construct suitable subtraction sums in order to solve word problems and puzzles
6Basic mathematics part 1Subtraction up to the number 99
Objective: To subtract multiples of 10 and subtract 2-digit numbers without trading
7Basic mathematics part 1Subtraction with trading
Objective: To subtract 1 and 2-digit numbers with trading
8Basic mathematics part 1Multiplication using equal groups
Objective: To identify multiplication as a number of groups of objects
9Basic mathematics part 1Multiplication using repeated addition
Objective: To perform repeated addition in preparation for multiplication
10Basic mathematics part 1The Multiplication Sign
Objective: To use the ‘x’ sign for repeated addition and perform 1-digit multiplication
11Basic mathematics part 1Multiplication with important facts
Objective: To practice multiplication facts to 10 x 10
12Long multiplicationMultiplying 2-digit numbers by multiples of 10
Objective: To multiply 2-digit numbers by multiples of 10 using long multiplication
13Basic mathematics part 2Multiples and factors of whole numbers
Objective: To identify the factors, multiples and squares of numbers
14Basic mathematics part 1Strategies for division
Objective: To perform division by arranging objects into groups
15Basic mathematics part 2Solve and record division using known facts and sharing
Objective: To divide 100 by its factors and divide 2-digit multiples by factors 1 to 5
16Basic mathematics part 2Division with and without a remainder
Objective: To divide by 1-digit divisor with/without remainder and form division problems
17Basic mathematics part 2Dividing two and three-digit numbers by a single-digit number
Objective: To divide 3-digit by 1-digit numbers and solve word problems
18FractionsUsing fractions 1/2, 1/4, 1/8 to describe part of a whole
Objective: To name and use the fractions 1/2, 1/4 and 1/8 in describing parts of a whole
19FractionsUsing fractions 1/2, 1/4, 1/8 to describe parts of a group or collection
Objective: To use the fractions 1/2, 1/4 and 1/8 to describe equal parts of a collection of objects
20FractionsFractions 1/5, 1/10, 1/100
Objective: To compare and represent fractions with the denominator 5, 10, 100
21FractionsComparing and ordering fractions
Objective: To compare and order fractions with the same and different numbers of equal parts
22TimeO’clock and half past using digital time
Objective: To use the terms ‘o’clock’ and ‘half past’ on a digital clock
23TimeO’clock and half past on the analogue clock
Objective: To read and use the terms o’clock and half past on an analogue clock
24TimeAnalogue – Telling time – minutes in the hour
Objective: To recognise the coordinated movements of the hands on an analogue clock
25TimeQuarter past and quarter to
Objective: To associate the numerals 3, 6 and 9 with 15, 30 and 45 minutes
26TimeUnits of time
Objective: To convert units of time by reading simple timetables, timelines and calendars
27Timeam and pm time
Objective: To distinguish between am and pm time and to use the correct notation for am and pm time
28TimeTelling the time – minutes past the hour
Objective: To read analogue time to the minute past the hour
29TimeTelling the time – minutes to the hour
Objective: To read analogue clocks in minutes to the hour
30TimeRelating analogue and digital time
Objective: To read analogue and digital clocks to the minute
31Measurement – LengthCompare length by using informal units of measurement
Objective: To choose the most appropriate body part as a unit for measuring common objects
32Measurement – LengthUsing the metre as a formal unit to measure perimeter
Objective: To calculate the perimeter of shapes whose measurements are given in metres
33Measurement – LengthUsing the formal unit of the centimetre to measure length and perimeter
Objective: To use a ruler to find lengths and perimeters in centimetres
34Measurement – LengthRead and calculate distances on a map using the formal unit kilometre
Objective: To read distances (km) from a map and calculate total distances between locations
35Measurement – LengthCompare and convert formal units of measurement
Objective: To change cm to mm and then convert mm, cm, m and km from one to another
36Measurement – AreaIntroduction to the square centimetre
Objective: To determine the area of a shape by counting the number of square centimetres
37Measurement – CapacityConverting between volume and capacity using milliliters and liters
Objective: To solve capacity problems involving mixed dimensional units
38Measurement – MassIntroducing the concept of mass
Objective: To distinguish between light and heavy objects
39Measurement – MassThe Kilogram
Objective: To recognise which of two (or more) objects has the greater mass
40Measurement – MassThe Gram
Objective: To calculate net mass in grams and solve shopping problems involving mass
41Measurement – Advanced areaComparing and Ordering Areas
Objective: To estimate size order and count or estimate area as the number of cm squares
42Measurement – CapacityThe relationship between the common units of capacity: the litre and the millilitre
Objective: To convert L to mL and vice versa using 1000 mL = 1 L
43SpaceUsing the prefix to determine polygons
Objective: To continue sequences of shapes and recognise prefixes and name polygons
44SpaceSpatial properties of quadrilaterals
Objective: To recall and recognise properties of different quadrilaterals
45SpaceRecognise and name prisms according to spatial properties
Objective: To name prisms according to the shape of the base
46SpaceRecognise and name pyramids according to spatial properties
Objective: To name pyramids according to the shape of the base
47SpacePosition
Objective: To use positional terms such as behind, next to and above, accurately
48SpaceMapping
Objective: To locate places and describe navigation on a map and use a row/column grid
49Graphs – BasicPicture Graphs
Objective: To construct, read and interpret picture graphs
50Graphs – BasicColumn Graphs
Objective: To read and interpret column graphs
51Graphs – BasicLine Graphs
Objective: To read and interpret line graphs
52Graphs – BasicPie and Bar Graphs
Objective: To read and interpret pie and bar graphs
53ExamExam – Grade 3
Objective: Exam
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Grade 4 Mathematics

#TOPICTITLE
1Study PlanStudy plan – Grade 4
Objective: On completion of the course formative assessment a tailored study plan is created identifying the lessons requiring revision.
2Basic mathematics part 1The numbers 100 to 999
Objective: To use pictures and numerals for numbers 100 to 999 and count by 10s and 100s
3Basic mathematics part 2The numbers 1000 to 9999
Objective: To write words and numbers to 9999 and count by 1, 10, 100 and 1000 to 9999
4Basic mathematics part 2Addition up to the number 999
Objective: To add up to three 2 and 3-digit numbers with and without trading
5Basic mathematics part 1Subtraction up to the number 99
Objective: To subtract multiples of 10 and subtract 2-digit numbers without trading
6Basic mathematics part 1Subtraction with trading
Objective: To subtract 1 and 2-digit numbers with trading
7Basic mathematics part 1Subtraction with Word Problems
Objective: To construct suitable subtraction sums in order to solve word problems and puzzles
8Basic mathematics part 2Subtraction up to the number 999
Objective: To subtract 3-digit numbers with and without trading and find missing digits
9Basic mathematics part 1Multiplication with important facts
Objective: To practice multiplication facts to 10 x 10
10Basic mathematics part 2Multiples and factors of whole numbers
Objective: To identify the factors, multiples and squares of numbers
11Basic mathematics part 2Multiplication using extended algorithms
Objective: To multiply 3-digit by 1-digit numbers and solve multiplication word problems
12Long multiplicationMultiplying 2-digit numbers by multiples of 10
Objective: To multiply 2-digit numbers by multiples of 10 using long multiplication
13Long multiplicationMultiplying 2-digit numbers by 2-digit numbers
Objective: To multiply 2-digit numbers by 2-digit numbers using long multiplication
14Basic mathematics part 2Solve and record division using known facts and sharing
Objective: To divide 100 by its factors and divide 2-digit multiples by factors 1 to 5
15Basic mathematics part 1Strategies for division
Objective: To perform division by arranging objects into groups
16Basic mathematics part 2Division with and without a remainder
Objective: To divide by 1-digit divisor with/without remainder and form division problems
17Basic mathematics part 2Dividing two and three-digit numbers by a single-digit number
Objective: To divide 3-digit by 1-digit numbers and solve word problems
18FractionsUsing fractions 1/2, 1/4, 1/8 to describe part of a whole
Objective: To name and use the fractions 1/2, 1/4 and 1/8 in describing parts of a whole
19FractionsUsing fractions 1/2, 1/4, 1/8 to describe parts of a group or collection
Objective: To use the fractions 1/2, 1/4 and 1/8 to describe equal parts of a collection of objects
20FractionsComparing and ordering fractions
Objective: To compare and order fractions with the same and different numbers of equal parts
21FractionsFractions 1/5, 1/10, 1/100
Objective: To compare and represent fractions with the denominator 5, 10, 100
22DecimalsIntro to Decimals
Objective: To relate the equivalent fraction to a decimal
23DecimalsComparing and ordering decimals to two decimal places
Objective: To compare and order decimals to two decimal places
24DecimalsDecimals with whole numbers 10th and 100th
Objective: To use and understand place value to show whole numbers, tenths and hundredths as decimals
25DecimalsAdding decimals to two decimal places
Objective: To add decimals with the same number of decimal places (to two decimal Places)
26TimeAnalogue – Telling time – minutes in the hour
Objective: To recognise the coordinated movements of the hands on an analogue clock
27Timeam and pm time
Objective: To distinguish between am and pm time and to use the correct notation for am and pm time
28TimeO’clock and half past using digital time
Objective: To use the terms ‘o’clock’ and ‘half past’ on a digital clock
29TimeO’clock and half past on the analogue clock
Objective: To read and use the terms o’clock and half past on an analogue clock
30TimeQuarter past and quarter to
Objective: To associate the numerals 3, 6 and 9 with 15, 30 and 45 minutes
31TimeTelling the time – minutes past the hour
Objective: To read analogue time to the minute past the hour
32TimeTelling the time – minutes to the hour
Objective: To read analogue clocks in minutes to the hour
33TimeRelating analogue and digital time
Objective: To read analogue and digital clocks to the minute
34Measurement – LengthUsing the metre as a formal unit to measure perimeter
Objective: To calculate the perimeter of shapes whose measurements are given in metres
35Measurement – LengthUsing the formal unit of the centimetre to measure length and perimeter
Objective: To use a ruler to find lengths and perimeters in centimetres
36Measurement – LengthRead and calculate distances on a map using the formal unit kilometre
Objective: To read distances (km) from a map and calculate total distances between locations
37Measurement – LengthCompare and convert formal units of measurement
Objective: To change cm to mm and then convert mm, cm, m and km from one to another
38Measurement – AreaIntroduction to the square centimetre
Objective: To determine the area of a shape by counting the number of square centimetres
39Measurement – Advanced areaComparing and Ordering Areas
Objective: To estimate size order and count or estimate area as the number of cm squares
40Measurement – CapacityConverting between volume and capacity using milliliters and liters
Objective: To solve capacity problems involving mixed dimensional units
41Measurement – MassIntroducing the concept of mass
Objective: To distinguish between light and heavy objects
42Measurement – MassThe Kilogram
Objective: To recognise which of two (or more) objects has the greater mass
43Measurement – MassThe Gram
Objective: To calculate net mass in grams and solve shopping problems involving mass
44Measurement – CapacityUsing the cubic cm and displacement to measure volume and capacity
Objective: To find volume and capacity using displacement
45Measurement – CapacityUsing the Cubic cm as a Standard Unit of measurement for Volume and Capacity
Objective: To understand a cubic centimetre and how it can be used to find the volume and capacity of a three-dimensional shape
46Measurement – CapacityThe relationship between the common units of capacity: the litre and the millilitre
Objective: To convert L to mL and vice versa using 1000 mL = 1 L
47Measurement – CapacityConverting between volume and capacity using kiloliters and liters
Objective: To know the formal units of measurement for volume and capacity for bigger objects
48Measurement – CapacityEstimate, measure and compare the capacity of containers
Objective: To understand estimation and a way to go about it
49Graphs – BasicColumn Graphs
Objective: To read and interpret column graphs
50Graphs – BasicLine Graphs
Objective: To read and interpret line graphs
51Graphs – BasicPie and Bar Graphs
Objective: To read and interpret pie and bar graphs
52SpaceUsing the prefix to determine polygons
Objective: To continue sequences of shapes and recognise prefixes and name polygons
53SpaceSpatial properties of quadrilaterals
Objective: To recall and recognise properties of different quadrilaterals
54SpaceRecognise and name prisms according to spatial properties
Objective: To name prisms according to the shape of the base
55SpaceRecognise and name pyramids according to spatial properties
Objective: To name pyramids according to the shape of the base
56SpacePosition
Objective: To use positional terms such as behind, next to and above, accurately
57SpaceMapping
Objective: To locate places and describe navigation on a map and use a row/column grid
58ProbabilitySimple events
Objective: To find the probability of events using sample space and event set (E) and P(E) = n(E)/n(S)
59ExamExam – Grade 4
Objective: Exam
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Grade 5 Mathematics

#TOPICTITLE
1Study PlanStudy plan – Grade 5
Objective: On completion of the course formative assessment a tailored study plan is created identifying the lessons requiring revision.
2Basic mathematics part 2The Numbers 10 000 to 99 999
Objective: To determine the place value of digits in, order of and name of 5-digit numbers
3Basic mathematics part 2Addition up to the number 999
Objective: To add up to three 2 and 3-digit numbers with and without trading
4Basic mathematics part 2Addition to 9999 and beyond
Objective: To add up to five 3, 4 or 5-digit numbers from 0 to 99 999
5Basic mathematics part 2Subtraction up to the number 999
Objective: To subtract 3-digit numbers with and without trading and find missing digits
6Basic mathematics part 2Subtraction involving four-digit numbers and beyond
Objective: To subtract 4 or 5-digit numbers from 5-digit numbers using the Renaming Method
7Long multiplicationMultiplying 2-digit numbers by multiples of 10
Objective: To multiply 2-digit numbers by multiples of 10 using long multiplication
8Long multiplicationMultiplying 3 and 4-digit numbers by multiples of 100
Objective: To multiply 4-digit numbers by multiples of 100 using long multiplication
9Long multiplicationMultiplying 2-digit numbers by 2-digit numbers
Objective: To multiply 2-digit numbers by 2-digit numbers using long multiplication
10Basic mathematics part 1Strategies for division
Objective: To perform division by arranging objects into groups
11Basic mathematics part 2Division with and without a remainder
Objective: To divide by 1-digit divisor with/without remainder and form division problems
12Basic mathematics part 2Dividing two and three-digit numbers by a single-digit number
Objective: To divide 3-digit by 1-digit numbers and solve word problems
13FractionsUsing fractions 1/2, 1/4, 1/8 to describe part of a whole
Objective: To name and use the fractions 1/2, 1/4 and 1/8 in describing parts of a whole
14FractionsUsing fractions 1/2, 1/4, 1/8 to describe parts of a group or collection
Objective: To use the fractions 1/2, 1/4 and 1/8 to describe equal parts of a collection of objects
15FractionsFractions 1/5, 1/10, 1/100
Objective: To compare and represent fractions with the denominator 5, 10, 100
16FractionsComparing and ordering fractions
Objective: To compare and order fractions with the same and different numbers of equal parts
17FractionsMixed numerals
Objective: To name and recognise mixed numerals
18FractionsImproper fractions
Objective: To use diagrams and number lines to recognise and represent mixed numerals and improper fractions
19DecimalsIntro to Decimals
Objective: To relate the equivalent fraction to a decimal
20DecimalsComparing and ordering decimals to two decimal places
Objective: To compare and order decimals to two decimal places
21DecimalsDecimals with whole numbers 10th and 100th
Objective: To use and understand place value to show whole numbers, tenths and hundredths as decimals
22DecimalsAdding decimals to two decimal places
Objective: To add decimals with the same number of decimal places (to two decimal Places)
23DecimalsSubtracting decimals to two decimal places
Objective: To subtract decimals with the same number of decimal places (to two decimal places)
24DecimalsUsing decimals – shopping problems
Objective: To read and interpret problems involving money
25DecimalsUsing decimals to record length
Objective: To interpret the everyday use of fractions and decimals
26DecimalsRounding Decimals
Objective: To round a number with one or two decimal places to the nearest whole number
27DecimalsDecimals to three decimal places
Objective: To express a number on a thousand as a decimal in thousandths
28DecimalsAdding decimals with a different number of decimal places
Objective: To add decimal numbers with a different number of decimal places
29DecimalsSubtracting decimals with a different number of places
Objective: To subtract decimals with a different number of decimal places
30DecimalsMultiplying decimals by 10, 100 and 1000
Objective: To recognise the pattern formed when decimals are multiplied by 10, 100 and 1000
31DecimalsDividing decimals by 10, 100 and 1000
Objective: To recognise the pattern formed when decimals are divided by 10, 100 and 1000
32Timeam and pm time
Objective: To distinguish between am and pm time and to use the correct notation for am and pm time
33TimeQuarter past and quarter to
Objective: To associate the numerals 3, 6 and 9 with 15, 30 and 45 minutes
34TimeTelling the time – minutes past the hour
Objective: To read analogue time to the minute past the hour
35TimeTelling the time – minutes to the hour
Objective: To read analogue clocks in minutes to the hour
36TimeRelating analogue and digital time
Objective: To read analogue and digital clocks to the minute
37Time24-hour time
Objective: To tell the time accurately using 24-hour time and change the time from am and pm time to 24-hour time
38Measurement – LengthUsing the metre as a formal unit to measure perimeter
Objective: To calculate the perimeter of shapes whose measurements are given in metres
39Measurement – LengthUsing the formal unit of the centimetre to measure length and perimeter
Objective: To use a ruler to find lengths and perimeters in centimetres
40Measurement – LengthRead and calculate distances on a map using the formal unit kilometre
Objective: To read distances (km) from a map and calculate total distances between locations
41Measurement – LengthCompare and convert formal units of measurement
Objective: To change cm to mm and then convert mm, cm, m and km from one to another
42Measurement – Advanced areaComparing and Ordering Areas
Objective: To estimate size order and count or estimate area as the number of cm squares
43Measurement – AreaIntroduction to the square centimetre
Objective: To determine the area of a shape by counting the number of square centimetres
44Measurement – AreaIntroducing the Rules for Finding the Area of a Rectangle and a Parallelogram
Objective: To calculate the areas of rectangles and parallelograms using Area of Rectangle = Length x Height and Area of Parallelogram = Base x Height
45Measurement – AreaFinding the Area of a Triangle and Other Composite Shapes
Objective: To calculate the area of triangles and measure and calculate composite shape area
46Measurement – VolumeIntroduction to Volume: using the cubic centimetre as a standard unit
Objective: To count volume using 1 cm cubes
47Measurement – VolumeConstructing Models
Objective: To develop volume of prisms as layers of a number of 1 cm cubes
48Measurement – VolumeUsing the Cubic Centimetre to Measure Volume
Objective: To use the 1 cm cube as the unit for volume
49Measurement – VolumeIntroducing the Formula for Volume
Objective: To calculate the volume of rectangular prisms using V=l x b x h
50Measurement – CapacityUsing the cubic cm and displacement to measure volume and capacity
Objective: To find volume and capacity using displacement
51Measurement – CapacityUsing the Cubic cm as a Standard Unit of measurement for Volume and Capacity
Objective: To understand a cubic centimetre and how it can be used to find the volume and capacity of a three-dimensional shape
52Measurement – CapacityThe relationship between the common units of capacity: the litre and the millilitre
Objective: To convert L to mL and vice versa using 1000 mL = 1 L
53Measurement – CapacityConverting between volume and capacity using kiloliters and liters
Objective: To know the formal units of measurement for volume and capacity for bigger objects
54Measurement – CapacityEstimate, measure and compare the capacity of containers
Objective: To understand estimation and a way to go about it
55Measurement – CapacityConverting between volume and capacity using milliliters and liters
Objective: To solve capacity problems involving mixed dimensional units
56Measurement – MassThe Kilogram
Objective: To recognise which of two (or more) objects has the greater mass
57Measurement – MassThe Gram
Objective: To calculate net mass in grams and solve shopping problems involving mass
58SpaceUsing the prefix to determine polygons
Objective: To continue sequences of shapes and recognise prefixes and name polygons
59SpaceSpatial properties of quadrilaterals
Objective: To recall and recognise properties of different quadrilaterals
60SpaceMeasure and classify angles
Objective: To classify and measure angles and calculate angles in a triangle
61SpaceRecognise and name triangles
Objective: To recall properties of different triangles
62SpaceUse grids to enlarge/reduce 2-D shapes
Objective: To recognise shapes that tessellate and specify position on a grid
63SpaceRecognise and name prisms according to spatial properties
Objective: To name prisms according to the shape of the base
64SpaceRecognise and name pyramids according to spatial properties
Objective: To name pyramids according to the shape of the base
65SpaceRecognise nets for prisms, pyramids, cubes and cones
Objective: To match a net with a solid and determine whether a given net forms a solid
66SpaceViewing 3-D Shapes
Objective: To recognise what a solid looks like when viewed from a given direction
67SpacePosition
Objective: To use positional terms such as behind, next to and above, accurately
68SpaceMapping
Objective: To locate places and describe navigation on a map and use a row/column grid
69SpaceMain and intermediate compass points
Objective: To specify direction using the eight points of a compass
70SpaceInformal coordinate system
Objective: To specify location using a map coordinate system – origin top left
71Graphs – BasicLine Graphs
Objective: To read and interpret line graphs
72Graphs – BasicPie and Bar Graphs
Objective: To read and interpret pie and bar graphs
73ProbabilitySimple events
Objective: To find the probability of events using sample space and event set (E) and P(E) = n(E)/n(S)
74Problem solvingSign Words
Objective: To recognise words and phrases that correspond to + – x and /
75Problem solvingProblem Solving Strategies
Objective: To review problem solving words and an effective problem solving approach
76Problem solvingWord Problems with Numbers
Objective: To solve number word problems using + – x and /
77Problem solvingWord Problems with Money
Objective: To solve money word problems using + – x and /
78Problem solvingWord Problems with Length
Objective: To solve length word problems using + – x and /
79Problem solvingWord Problems with Mass
Objective: To solve mass word problems using + – x and /
80Problem solvingWord Problems with Area
Objective: To solve area word problems using + – x and /
81Problem solvingWord Problems with Volume/Capacity
Objective: To solve volume and capacity word problems using + – x and /
82ExamExam – Grade 5
Objective: Exam
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Grade 6 Mathematics

#TOPICTITLE
1Study PlanStudy plan – Grade 6
Objective: On completion of the course formative assessment a tailored study plan is created identifying the lessons requiring revision.
2Basic mathematics part 2The Numbers 10 000 to 99 999
Objective: To determine the place value of digits in, order of and name of 5-digit numbers
3Basic mathematics part 2Addition to 9999 and beyond
Objective: To add up to five 3, 4 or 5-digit numbers from 0 to 99 999
4Basic mathematics part 2Subtraction up to the number 999
Objective: To subtract 3-digit numbers with and without trading and find missing digits
5Basic mathematics part 2Subtraction involving four-digit numbers and beyond
Objective: To subtract 4 or 5-digit numbers from 5-digit numbers using the Renaming Method
6Long multiplicationMultiplying 2-digit numbers by multiples of 10
Objective: To multiply 2-digit numbers by multiples of 10 using long multiplication
7Long multiplicationMultiplying 3 and 4-digit numbers by multiples of 100
Objective: To multiply 4-digit numbers by multiples of 100 using long multiplication
8Long multiplicationMultiplying 2-digit numbers by 2-digit numbers
Objective: To multiply 2-digit numbers by 2-digit numbers using long multiplication
9Basic mathematics part 2Division with and without a remainder
Objective: To divide by 1-digit divisor with/without remainder and form division problems
10Basic mathematics part 2Dividing two and three-digit numbers by a single-digit number
Objective: To divide 3-digit by 1-digit numbers and solve word problems
11FractionsComparing and ordering fractions
Objective: To compare and order fractions with the same and different numbers of equal parts
12FractionsMixed numerals
Objective: To name and recognise mixed numerals
13FractionsImproper fractions
Objective: To use diagrams and number lines to recognise and represent mixed numerals and improper fractions
14FractionsFinding equivalent fractions
Objective: To reduce a fraction to its lowest form
15FractionsReducing fractions to lowest equivalent form
Objective: To reduce a fraction to its lowest form
16FractionsComparing and ordering fractions greater than 1
Objective: To use diagrams, number lines and equivalent fractions to compare and order fractions greater than 1
17DecimalsComparing and ordering decimals to two decimal places
Objective: To compare and order decimals to two decimal places
18DecimalsDecimals with whole numbers 10th and 100th
Objective: To use and understand place value to show whole numbers, tenths and hundredths as decimals
19DecimalsAdding decimals to two decimal places
Objective: To add decimals with the same number of decimal places (to two decimal Places)
20DecimalsSubtracting decimals to two decimal places
Objective: To subtract decimals with the same number of decimal places (to two decimal places)
21DecimalsUsing decimals – shopping problems
Objective: To read and interpret problems involving money
22DecimalsUsing decimals to record length
Objective: To interpret the everyday use of fractions and decimals
23DecimalsRounding Decimals
Objective: To round a number with one or two decimal places to the nearest whole number
24DecimalsDecimals to three decimal places
Objective: To express a number on a thousand as a decimal in thousandths
25DecimalsAdding decimals with a different number of decimal places
Objective: To add decimal numbers with a different number of decimal places
26DecimalsSubtracting decimals with a different number of places
Objective: To subtract decimals with a different number of decimal places
27DecimalsMultiplying decimals by 10, 100 and 1000
Objective: To recognise the pattern formed when decimals are multiplied by 10, 100 and 1000
28DecimalsMultiplying decimals by single-digit numbers
Objective: To multiply decimals by single-digit numbers
29DecimalsMultiplication of decimals by decimals to two decimal places
Objective: To multiply decimals to two digits
30DecimalsDividing decimals by 10, 100 and 1000
Objective: To recognise the pattern formed when decimals are divided by 10, 100 and 1000
31DecimalsDividing decimals by whole numbers
Objective: To divide decimals by whole numbers
32PercentagesUnderstanding percentages
Objective: To recognise the percentage symbol and relate a common percentage to a fraction
33PercentagesChanging fractions and decimals to percentages tenths and hundredths
Objective: To represent fractions and decimals as percentages
34PercentagesChanging percentages to fractions and decimals
Objective: To change percentages to fractions and decimals
35Measurement – LengthUsing the metre as a formal unit to measure perimeter
Objective: To calculate the perimeter of shapes whose measurements are given in metres
36Measurement – LengthUsing the formal unit of the centimetre to measure length and perimeter
Objective: To use a ruler to find lengths and perimeters in centimetres
37Measurement – LengthRead and calculate distances on a map using the formal unit kilometre
Objective: To read distances (km) from a map and calculate total distances between locations
38Measurement – LengthCompare and convert formal units of measurement
Objective: To change cm to mm and then convert mm, cm, m and km from one to another
39Measurement – Advanced areaComparing and Ordering Areas
Objective: To estimate size order and count or estimate area as the number of cm squares
40Measurement – AreaIntroduction to the square centimetre
Objective: To determine the area of a shape by counting the number of square centimetres
41Measurement – AreaIntroducing the Rules for Finding the Area of a Rectangle and a Parallelogram
Objective: To calculate the areas of rectangles and parallelograms using Area of Rectangle = Length x Height and Area of Parallelogram = Base x Height
42Measurement – AreaFinding the Area of a Triangle and Other Composite Shapes
Objective: To calculate the area of triangles and measure and calculate composite shape area
43Measurement – VolumeIntroduction to Volume: using the cubic centimetre as a standard unit
Objective: To count volume using 1 cm cubes
44Measurement – VolumeConstructing Models
Objective: To develop volume of prisms as layers of a number of 1 cm cubes
45Measurement – VolumeUsing the Cubic Centimetre to Measure Volume
Objective: To use the 1 cm cube as the unit for volume
46Measurement – VolumeIntroducing the Formula for Volume
Objective: To calculate the volume of rectangular prisms using V=l x b x h
47Measurement – VolumeUsing the Cubic Metre to Measure Volume
Objective: To calculate the volume of rectangular prisms in cubic metres
48Measurement – VolumeSolving Problems about Volume Part 1
Objective: To solve volume problems using same and mixed units of length
49Measurement – VolumeSolving Problems about Volume Part 2
Objective: To solve volume problems involving larger objects
50Measurement – CapacityUsing the cubic cm and displacement to measure volume and capacity
Objective: To find volume and capacity using displacement
51Measurement – CapacityUsing the Cubic cm as a Standard Unit of measurement for Volume and Capacity
Objective: To understand a cubic centimetre and how it can be used to find the volume and capacity of a three-dimensional shape
52Measurement – CapacityThe relationship between the common units of capacity: the litre and the millilitre
Objective: To convert L to mL and vice versa using 1000 mL = 1 L
53Measurement – CapacityConverting between volume and capacity using kiloliters and liters
Objective: To know the formal units of measurement for volume and capacity for bigger objects
54Measurement – CapacityEstimate, measure and compare the capacity of containers
Objective: To understand estimation and a way to go about it
55Measurement – CapacityConverting between volume and capacity using milliliters and liters
Objective: To solve capacity problems involving mixed dimensional units
56Measurement – MassThe Kilogram
Objective: To recognise which of two (or more) objects has the greater mass
57Measurement – MassThe Gram
Objective: To calculate net mass in grams and solve shopping problems involving mass
58SpaceUsing the prefix to determine polygons
Objective: To continue sequences of shapes and recognise prefixes and name polygons
59SpaceSpatial properties of quadrilaterals
Objective: To recall and recognise properties of different quadrilaterals
60SpaceMeasure and classify angles
Objective: To classify and measure angles and calculate angles in a triangle
61SpaceRecognise and name triangles
Objective: To recall properties of different triangles
62SpaceUse grids to enlarge/reduce 2-D shapes
Objective: To recognise shapes that tessellate and specify position on a grid
63SpaceRecognise and name prisms according to spatial properties
Objective: To name prisms according to the shape of the base
64SpaceRecognise and name pyramids according to spatial properties
Objective: To name pyramids according to the shape of the base
65SpaceRecognise nets for prisms, pyramids, cubes and cones
Objective: To match a net with a solid and determine whether a given net forms a solid
66SpaceViewing 3-D Shapes
Objective: To recognise what a solid looks like when viewed from a given direction
67Algebra – BasicAlgebraic Expressions
Objective: To simplify numerical expressions and simplify and expand algebraic expressions
68Algebra – BasicSubstitution into Algebraic Expressions
Objective: To evaluate simple algebraic expressions using whole numbers, fractions and decimals
69SpaceMapping
Objective: To locate places and describe navigation on a map and use a row/column grid
70SpaceMain and intermediate compass points
Objective: To specify direction using the eight points of a compass
71SpaceInformal coordinate system
Objective: To specify location using a map coordinate system – origin top left
72Graphs – BasicLine Graphs
Objective: To read and interpret line graphs
73Graphs – BasicPie and Bar Graphs
Objective: To read and interpret pie and bar graphs
74ProbabilitySimple events
Objective: To find the probability of events using sample space and event set (E) and P(E) = n(E)/n(S)
75Problem solvingSign Words
Objective: To recognise words and phrases that correspond to + – x and /
76Problem solvingProblem Solving Strategies
Objective: To review problem solving words and an effective problem solving approach
77Problem solvingWord Problems with Numbers
Objective: To solve number word problems using + – x and /
78Problem solvingWord Problems with Money
Objective: To solve money word problems using + – x and /
79Problem solvingWord Problems with Length
Objective: To solve length word problems using + – x and /
80Problem solvingWord Problems with Mass
Objective: To solve mass word problems using + – x and /
81Problem solvingWord Problems with Area
Objective: To solve area word problems using + – x and /
82Problem solvingWord Problems with Volume/Capacity
Objective: To solve volume and capacity word problems using + – x and /
83ExamExam – Grade 6
Objective: Exam
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Grade 7 Mathematics

#TOPICTITLE
1Study PlanStudy plan – Grade 7
Objective: On completion of the course formative assessment a tailored study plan is created identifying the lessons requiring revision.
2Basic mathematics part 2The Numbers 10 000 to 99 999
Objective: To determine the place value of digits in, order of and name of 5-digit numbers
3Basic mathematics part 2Seven digit numbers
Objective: To determine the place value of digits in, and the name of numbers to 1 000 000
4Basic mathematics part 2Addition to 9999 and beyond
Objective: To add up to five 3, 4 or 5-digit numbers from 0 to 99 999
5Basic mathematics part 2Subtraction involving four-digit numbers and beyond
Objective: To subtract 4 or 5-digit numbers from 5-digit numbers using the Renaming Method
6Long multiplicationMultiplying 2-digit numbers by 2-digit numbers
Objective: To multiply 2-digit numbers by 2-digit numbers using long multiplication
7Basic mathematics part 2Division with and without a remainder
Objective: To divide by 1-digit divisor with/without remainder and form division problems
8Basic mathematics part 2Dividing two and three-digit numbers by a single-digit number
Objective: To divide 3-digit by 1-digit numbers and solve word problems
9Basic mathematics part 2Divide whole numbers by a 2-digit divisor
Objective: To divide up to 4-digit by 1 or 2-digit numbers with remainders as reduced fractions
10Algebra – BasicDirected Numbers: Addition and Subtraction
Objective: To add/subtract numbers using a number line – first number and answer can be negative
11Algebra – BasicDirected Numbers: Multiplication and Division
Objective: To multiply and divide directed numbers and evaluate powers of directed numbers
12FractionsComparing and ordering fractions
Objective: To compare and order fractions with the same and different numbers of equal parts
13FractionsMixed numerals
Objective: To name and recognise mixed numerals
14FractionsImproper fractions
Objective: To use diagrams and number lines to recognise and represent mixed numerals and improper fractions
15FractionsFinding equivalent fractions
Objective: To reduce a fraction to its lowest form
16FractionsMultiplying and dividing to obtain equivalent fractions.
Objective: To find equivalent fractions using multiplication or division.
17FractionsReducing fractions to lowest equivalent form
Objective: To reduce a fraction to its lowest form
18FractionsComparing and ordering fractions greater than 1
Objective: To use diagrams, number lines and equivalent fractions to compare and order fractions greater than 1
19FractionsSubtracting fractions from whole numbers
Objective: To use a diagram and mental strategies to subtract fractions from whole numbers
20FractionsAdding and subtracting fractions with the same denominator
Objective: To add and subtract fractions with the same denominator
21FractionsAdding and subtracting fractions with different denominators
Objective: To add fractions with different denominators and the answer is less than 1
22FractionsMultiplying fractions by whole numbers
Objective: To multiply common fractions by whole numbers
23FractionsFractions of whole numbers
Objective: To find fractions of whole numbers
24FractionsMultiplying fractions
Objective: To multiply fractions and reduce the answer to its lowest form
25DecimalsComparing and ordering decimals to two decimal places
Objective: To compare and order decimals to two decimal places
26DecimalsDecimals with whole numbers 10th and 100th
Objective: To use and understand place value to show whole numbers, tenths and hundredths as decimals
27DecimalsAdding decimals to two decimal places
Objective: To add decimals with the same number of decimal places (to two decimal Places)
28DecimalsSubtracting decimals to two decimal places
Objective: To subtract decimals with the same number of decimal places (to two decimal places)
29DecimalsUsing decimals – shopping problems
Objective: To read and interpret problems involving money
30DecimalsUsing decimals to record length
Objective: To interpret the everyday use of fractions and decimals
31DecimalsRounding Decimals
Objective: To round a number with one or two decimal places to the nearest whole number
32DecimalsDecimals to three decimal places
Objective: To express a number on a thousand as a decimal in thousandths
33DecimalsAdding decimals with a different number of decimal places
Objective: To add decimal numbers with a different number of decimal places
34DecimalsSubtracting decimals with a different number of places
Objective: To subtract decimals with a different number of decimal places
35DecimalsMultiplying decimals by 10, 100 and 1000
Objective: To recognise the pattern formed when decimals are multiplied by 10, 100 and 1000
36DecimalsMultiplying decimals by single-digit numbers
Objective: To multiply decimals by single-digit numbers
37DecimalsMultiplication of decimals by decimals to two decimal places
Objective: To multiply decimals to two digits
38DecimalsDividing decimals by 10, 100 and 1000
Objective: To recognise the pattern formed when decimals are divided by 10, 100 and 1000
39DecimalsDividing decimals by whole numbers
Objective: To divide decimals by whole numbers
40DecimalsDividing numbers by decimals
Objective: To divide a whole number by a decimal fraction
41PercentagesUnderstanding percentages
Objective: To recognise the percentage symbol and relate a common percentage to a fraction
42PercentagesChanging fractions and decimals to percentages tenths and hundredths
Objective: To represent fractions and decimals as percentages
43PercentagesChanging percentages to fractions and decimals
Objective: To change percentages to fractions and decimals
44PercentagesOne Quantity as a Percentage of Another
Objective: To determine what one quantity is as a percentage of another
45Measurement – LengthRead and calculate distances on a map using the formal unit kilometre
Objective: To read distances (km) from a map and calculate total distances between locations
46Measurement – LengthCompare and convert formal units of measurement
Objective: To change cm to mm and then convert mm, cm, m and km from one to another
47Measurement – AreaIntroducing the Rules for Finding the Area of a Rectangle and a Parallelogram
Objective: To calculate the areas of rectangles and parallelograms using Area of Rectangle = Length x Height and Area of Parallelogram = Base x Height
48Measurement – AreaFinding the Area of a Triangle and Other Composite Shapes
Objective: To calculate the area of triangles and measure and calculate composite shape area
49Measurement – CapacityUsing the cubic cm and displacement to measure volume and capacity
Objective: To find volume and capacity using displacement
50Measurement – CapacityUsing the Cubic cm as a Standard Unit of measurement for Volume and Capacity
Objective: To understand a cubic centimetre and how it can be used to find the volume and capacity of a three-dimensional shape
51Measurement – CapacityThe relationship between the common units of capacity: the litre and the millilitre
Objective: To convert L to mL and vice versa using 1000 mL = 1 L
52Measurement – CapacityConverting between volume and capacity using kiloliters and liters
Objective: To know the formal units of measurement for volume and capacity for bigger objects
53Measurement – CapacityEstimate, measure and compare the capacity of containers
Objective: To understand estimation and a way to go about it
54Measurement – CapacityConverting between volume and capacity using milliliters and liters
Objective: To solve capacity problems involving mixed dimensional units
55Problem solvingWord Problems with Area
Objective: To solve area word problems using + – x and /
56Problem solvingWord Problems with Volume/Capacity
Objective: To solve volume and capacity word problems using + – x and /
57Surface areaSurface Area of a Cube/Rectangular Prism
Objective: To calculate the surface area of cubes and rectangular prisms
58Measurement – MassThe Kilogram
Objective: To recognise which of two (or more) objects has the greater mass
59Measurement – MassThe Gram
Objective: To calculate net mass in grams and solve shopping problems involving mass
60SpaceUsing the prefix to determine polygons
Objective: To continue sequences of shapes and recognise prefixes and name polygons
61SpaceSpatial properties of quadrilaterals
Objective: To recall and recognise properties of different quadrilaterals
62SpaceMeasure and classify angles
Objective: To classify and measure angles and calculate angles in a triangle
63SpaceRecognise and name triangles
Objective: To recall properties of different triangles
64SpaceUse grids to enlarge/reduce 2-D shapes
Objective: To recognise shapes that tessellate and specify position on a grid
65SpaceRecognise and name prisms according to spatial properties
Objective: To name prisms according to the shape of the base
66SpaceRecognise and name pyramids according to spatial properties
Objective: To name pyramids according to the shape of the base
67SpaceRecognise nets for prisms, pyramids, cubes and cones
Objective: To match a net with a solid and determine whether a given net forms a solid
68SpaceViewing 3-D Shapes
Objective: To recognise what a solid looks like when viewed from a given direction
69Geometry part 2Congruent triangles: Tests 1 and 2
Objective: To recognise congruent triangles and matching sides and angles using SSS and SAS
70Geometry part 2Congruent triangles: Tests 3 and 4
Objective: To recognise congruent triangles and matching sides and angles using AAS and RHS
71Geometry part 2Proofs and Congruent Triangles
Objective: To use congruency in formal proofs in order to determine unknown angles and sides
72Geometry part 2Similar Triangles
Objective: To use similarity tests for triangles and determine unknown sides and angles in triangles
73Algebra – BasicAlgebraic Expressions
Objective: To simplify numerical expressions and simplify and expand algebraic expressions
74Algebra – BasicSubstitution into Algebraic Expressions
Objective: To evaluate simple algebraic expressions using whole numbers, fractions and decimals
75Algebra – BasicSimplifying Algebraic Expressions: Adding Like Terms
Objective: To simplify numeric and algebraic addition expressions by collecting like terms
76Algebra – BasicSimplifying Algebraic Expressions: Subtracting Like Terms
Objective: To simplify algebraic subtractions by collecting like terms
77Algebra – BasicSimplifying Algebraic Expressions: Combining Addition and Subtraction
Objective: To simplify expressions containing addition and subtraction and two unlike terms
78Algebra – BasicSimplifying Algebraic Expressions: Multiplication
Objective: To simplify algebraic products using (but not stating) the commutative law
79Algebra – BasicSimplifying Algebraic Expressions: Division
Objective: To divide algebraic terms where the divisor is a factor of the dividend
80Algebra – BasicExpanding Algebraic Expressions: multiplication
Objective: To remove grouping symbols from an expression where the multiplier is monomial
81Algebra – BasicExpanding Algebraic Expressions: Negative multiplier
Objective: To expand parentheses when there is a negative multiplier
82Algebra – BasicExpanding and simplifying algebraic expressions
Objective: To expand and simplify algebraic expressions involving grouping symbols
83Algebra – BasicSolving Equations containing Addition and Subtraction
Objective: To solve one-step equations involving addition or subtraction
84Algebra – BasicSolving Equations containing Multiplication and Division
Objective: To solve one-step equations involving multiplication or division
85SpaceMapping
Objective: To locate places and describe navigation on a map and use a row/column grid
86SpaceMain and intermediate compass points
Objective: To specify direction using the eight points of a compass
87SpaceInformal coordinate system
Objective: To specify location using a map coordinate system – origin top left
88Graphs – BasicLine Graphs
Objective: To read and interpret line graphs
89Graphs – BasicPie and Bar Graphs
Objective: To read and interpret pie and bar graphs
90Statistics part 1Frequency distribution table
Objective: To construct a frequency distribution table for raw data and to interpret the table
91Statistics part 1Frequency histograms and polygons
Objective: To construct and interpret frequency histograms and polygons
92Statistics part 1Relative Frequency
Objective: To extend the frequency distribution table to include a relative frequency column
93ProbabilitySimple events
Objective: To find the probability of events using sample space and event set (E) and P(E) = n(E)/n(S)
94ProbabilityExperimental probability
Objective: To find the experimental probabilities of an experimental trial
95ProbabilityExperimental probability
Objective: To use tree diagrams to determine sample spaces and compound probabilities
96ExamExam – Grade 7
Objective: Exam
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Grade 8 Mathematics

#TOPICTITLE
1Study PlanStudy plan – Grade 8
Objective: On completion of the course formative assessment a tailored study plan is created identifying the lessons requiring revision.
2Algebra – BasicDirected Numbers: Addition and Subtraction
Objective: To add/subtract numbers using a number line – first number and answer can be negative
3Algebra – BasicDirected Numbers: Multiplication and Division
Objective: To multiply and divide directed numbers and evaluate powers of directed numbers
4FractionsFinding equivalent fractions
Objective: To reduce a fraction to its lowest form
5FractionsMultiplying and dividing to obtain equivalent fractions.
Objective: To find equivalent fractions using multiplication or division.
6FractionsReducing fractions to lowest equivalent form
Objective: To reduce a fraction to its lowest form
7FractionsComparing and ordering fractions greater than 1
Objective: To use diagrams, number lines and equivalent fractions to compare and order fractions greater than 1
8FractionsSubtracting fractions from whole numbers
Objective: To use a diagram and mental strategies to subtract fractions from whole numbers
9FractionsAdding and subtracting fractions with the same denominator
Objective: To add and subtract fractions with the same denominator
10FractionsAdding and subtracting fractions with different denominators
Objective: To add fractions with different denominators and the answer is less than 1
11FractionsMultiplying fractions by whole numbers
Objective: To multiply common fractions by whole numbers
12FractionsFractions of whole numbers
Objective: To find fractions of whole numbers
13FractionsMultiplying fractions
Objective: To multiply fractions and reduce the answer to its lowest form
14FractionsMultiplying mixed numbers
Objective: To multiply mixed numbers and reduce the answer to its lowest form
15FractionsFinding reciprocals of fractions and mixed numbers
Objective: To find the reciprocals of fractions and mixed numbers
16FractionsDividing fractions
Objective: To divide fractions by other fractions
17FractionsDividing mixed numbers
Objective: To divide mixed numbers
18FractionsBODMAS
Objective: To calculate answers for fraction and mixed number questions using BODMAS
19DecimalsAdding decimals to two decimal places
Objective: To add decimals with the same number of decimal places (to two decimal Places)
20DecimalsSubtracting decimals to two decimal places
Objective: To subtract decimals with the same number of decimal places (to two decimal places)
21DecimalsUsing decimals – shopping problems
Objective: To read and interpret problems involving money
22DecimalsUsing decimals to record length
Objective: To interpret the everyday use of fractions and decimals
23DecimalsRounding Decimals
Objective: To round a number with one or two decimal places to the nearest whole number
24DecimalsDecimals to three decimal places
Objective: To express a number on a thousand as a decimal in thousandths
25DecimalsAdding decimals with a different number of decimal places
Objective: To add decimal numbers with a different number of decimal places
26DecimalsSubtracting decimals with a different number of places
Objective: To subtract decimals with a different number of decimal places
27DecimalsMultiplying decimals by 10, 100 and 1000
Objective: To recognise the pattern formed when decimals are multiplied by 10, 100 and 1000
28DecimalsMultiplying decimals by single-digit numbers
Objective: To multiply decimals by single-digit numbers
29DecimalsMultiplication of decimals by decimals to two decimal places
Objective: To multiply decimals to two digits
30DecimalsDividing decimals by 10, 100 and 1000
Objective: To recognise the pattern formed when decimals are divided by 10, 100 and 1000
31DecimalsDividing decimals by whole numbers
Objective: To divide decimals by whole numbers
32DecimalsDividing numbers by decimals
Objective: To divide a whole number by a decimal fraction
33PercentagesUnderstanding percentages
Objective: To recognise the percentage symbol and relate a common percentage to a fraction
34PercentagesChanging fractions and decimals to percentages tenths and hundredths
Objective: To represent fractions and decimals as percentages
35PercentagesChanging percentages to fractions and decimals
Objective: To change percentages to fractions and decimals
36PercentagesOne Quantity as a Percentage of Another
Objective: To determine what one quantity is as a percentage of another
37Uniform motionThe Speed Formula
Objective: To calculate speed, distance or time using speed = distance/time
38Measurement – LengthRead and calculate distances on a map using the formal unit kilometre
Objective: To read distances (km) from a map and calculate total distances between locations
39Measurement – LengthCompare and convert formal units of measurement
Objective: To change cm to mm and then convert mm, cm, m and km from one to another
40Measurement – AreaIntroducing the Rules for Finding the Area of a Rectangle and a Parallelogram
Objective: To calculate the areas of rectangles and parallelograms using Area of Rectangle = Length x Height and Area of Parallelogram = Base x Height
41Measurement – AreaFinding the Area of a Triangle and Other Composite Shapes
Objective: To calculate the area of triangles and measure and calculate composite shape area
42Measurement – CapacityUsing the cubic cm and displacement to measure volume and capacity
Objective: To find volume and capacity using displacement
43Measurement – CapacityUsing the Cubic cm as a Standard Unit of measurement for Volume and Capacity
Objective: To understand a cubic centimetre and how it can be used to find the volume and capacity of a three-dimensional shape
44Measurement – CapacityThe relationship between the common units of capacity: the litre and the millilitre
Objective: To convert L to mL and vice versa using 1000 mL = 1 L
45Measurement – CapacityConverting between volume and capacity using kiloliters and liters
Objective: To know the formal units of measurement for volume and capacity for bigger objects
46Measurement – CapacityEstimate, measure and compare the capacity of containers
Objective: To understand estimation and a way to go about it
47Measurement – CapacityConverting between volume and capacity using milliliters and liters
Objective: To solve capacity problems involving mixed dimensional units
48Measurement – MassThe Kilogram
Objective: To recognise which of two (or more) objects has the greater mass
49Measurement – MassThe Gram
Objective: To calculate net mass in grams and solve shopping problems involving mass
50Measurement – Advanced areaArea of a Circle
Objective: To calculate the area of circles and sectors and to solve circle problems
51Measurement – Advanced areaArea of Regular Polygons and Composite Figures
Objective: To calculate area of composite figures and solve problems using correct formulae
52Measurement – Advanced volumeFinding the volume of prisms
Objective: To calculate the volume of prisms using V=Ah and solve volume problems
53Measurement – Advanced volumeVolume of a Cylinder and Sphere
Objective: To solve problems and calculate volumes of cylinders and spheres and parts of each
54SpaceUsing the prefix to determine polygons
Objective: To continue sequences of shapes and recognise prefixes and name polygons
55SpaceSpatial properties of quadrilaterals
Objective: To recall and recognise properties of different quadrilaterals
56SpaceMeasure and classify angles
Objective: To classify and measure angles and calculate angles in a triangle
57SpaceRecognise and name triangles
Objective: To recall properties of different triangles
58SpaceUse grids to enlarge/reduce 2-D shapes
Objective: To recognise shapes that tessellate and specify position on a grid
59SpaceRecognise and name prisms according to spatial properties
Objective: To name prisms according to the shape of the base
60SpaceRecognise and name pyramids according to spatial properties
Objective: To name pyramids according to the shape of the base
61SpaceRecognise nets for prisms, pyramids, cubes and cones
Objective: To match a net with a solid and determine whether a given net forms a solid
62SpaceViewing 3-D Shapes
Objective: To recognise what a solid looks like when viewed from a given direction
63Problem solvingWord Problems with Area
Objective: To solve area word problems using + – x and /
64Problem solvingWord Problems with Volume/Capacity
Objective: To solve volume and capacity word problems using + – x and /
65Surface areaSurface Area of a Cube/Rectangular Prism
Objective: To calculate the surface area of cubes and rectangular prisms
66Surface areaSurface Area of a Cylinder and Sphere
Objective: To calculate the surface area of cylinders and spheres
67Geometry part 1Measuring Angles
Objective: To use a protractor to measure angles and identify angles as acute, obtuse or reflex
68Geometry part 1Adjacent Angles
Objective: To recognise and calculate the size of adjacent angles
69Geometry part 1Complementary and Supplementary Angles
Objective: To recognise and calculate the size of complementary and supplementary angles
70Geometry part 1Vertically Opposite Angles
Objective: To determine values of pronumerals in vertically opposite angles
71Geometry part 1Angles at a Point
Objective: To use angles at a point to calculate unknown angles
72Geometry part 1Parallel Lines
Objective: To identify angle pairs and calculate angles formed by a transversal and parallel lines
73Geometry part 1Additional questions involving parallel lines
Objective: To determine angle magnitude for angles formed by parallel lines and transversals
74QuadrilateralsQuadrilaterals 1
Objective: To recognise, name and describe the properties of quadrilaterals
75QuadrilateralsProperties of Parallelograms – Opposite Angles Equal
Objective: To prove and use ‘Opposite angles of a parallelogram are congruent’
76QuadrilateralsProperties of Parallelograms – Diagonals, Sides and Angles
Objective: To prove parallelogram properties and calculate unknown angles and lengths
77QuadrilateralsThe Parallelogram Umbrella
Objective: To prove properties of specific parallelograms and find angles and lengths
78QuadrilateralsProperties of Trapezoids
Objective: To prove properties of trapezoids and find unknown lengths and angles
79QuadrilateralsQuadrilaterals 6
Objective: To establish the properties of quadrilaterals in the number plane
80Geometry part 2Congruent triangles: Tests 1 and 2
Objective: To recognise congruent triangles and matching sides and angles using SSS and SAS
81Geometry part 2Congruent triangles: Tests 3 and 4
Objective: To recognise congruent triangles and matching sides and angles using AAS and RHS
82Geometry part 2Proofs and Congruent Triangles
Objective: To use congruency in formal proofs in order to determine unknown angles and sides
83Geometry part 2Similar Triangles
Objective: To use similarity tests for triangles and determine unknown sides and angles in triangles
84Geometry part 2Using Similar Triangles to Calculate Lengths
Objective: To determine unknown sides and angles of similar triangles
85Geometry part 2Examples involving overlapping triangles
Objective: To determine the lengths of unknown sides in overlapping or adjacent similar triangles
86PythagorasPythagoras’ Theorem: Finding the Hypotenuse
Objective: To calculate the length of a hypotenuse using Pythagoras’ Theorem
87PythagorasUsing Pythagorean Triples to Identify Right Triangles
Objective: To identify right triangles by using Pythagorean Triples or Pythagoras’ Theorem
88PythagorasCalculating the Hypotenuse of a right-angled Triangle
Objective: To calculate the length of a hypotenuse where lengths are given as surds or decimals
89PythagorasCalculating a Leg of a right-angled Triangle
Objective: To calculate the length of sides other than the hypotenuse using Pythagoras’ Theorem
90Algebra – BasicAlgebraic Expressions
Objective: To simplify numerical expressions and simplify and expand algebraic expressions
91Algebra – BasicSubstitution into Algebraic Expressions
Objective: To evaluate simple algebraic expressions using whole numbers, fractions and decimals
92Algebra – BasicSimplifying Algebraic Expressions: Adding Like Terms
Objective: To simplify numeric and algebraic addition expressions by collecting like terms
93Algebra – BasicSimplifying Algebraic Expressions: Subtracting Like Terms
Objective: To simplify algebraic subtractions by collecting like terms
94Algebra – BasicSimplifying Algebraic Expressions: Combining Addition and Subtraction
Objective: To simplify expressions containing addition and subtraction and two unlike terms
95Algebra – BasicSimplifying Algebraic Expressions: Multiplication
Objective: To simplify algebraic products using (but not stating) the commutative law
96Algebra – BasicSimplifying Algebraic Expressions: Division
Objective: To divide algebraic terms where the divisor is a factor of the dividend
97Algebra – BasicExpanding Algebraic Expressions: multiplication
Objective: To remove grouping symbols from an expression where the multiplier is monomial
98Algebra – BasicExpanding Algebraic Expressions: Negative multiplier
Objective: To expand parentheses when there is a negative multiplier
99Algebra – BasicExpanding and simplifying algebraic expressions
Objective: To expand and simplify algebraic expressions involving grouping symbols
100Algebra – BasicSolving Equations containing Addition and Subtraction
Objective: To solve one-step equations involving addition or subtraction
101Algebra – BasicSolving Equations containing Multiplication and Division
Objective: To solve one-step equations involving multiplication or division
102Algebra – BasicSolving Two-Step Equations
Objective: To solve two-step equations without division in the initial problem
103Algebra – BasicSolving Equations Containing Binomial Expressions
Objective: To solve equations with binomial expressions on each side
104Algebra – BasicEquations involving Grouping Symbols
Objective: To solve equations containing grouping symbols on each side
105Algebra – BasicEquations involving fractions
Objective: To solve fraction equations with the unknown in either the numerator or denominator
106Algebra – BasicEquations Resulting from Substitution into Formulae
Objective: To solve equations created by substituting values into formulae
107Algebra – BasicChanging the Subject of the Formula
Objective: To change the subject of algebraic formulae using equation-solving techniques
108SpaceMapping
Objective: To locate places and describe navigation on a map and use a row/column grid
109SpaceMain and intermediate compass points
Objective: To specify direction using the eight points of a compass
110SpaceInformal coordinate system
Objective: To specify location using a map coordinate system – origin top left
111Graphs – BasicLine Graphs
Objective: To read and interpret line graphs
112Graphs – BasicPie and Bar Graphs
Objective: To read and interpret pie and bar graphs
113Statistics part 1Frequency distribution table
Objective: To construct a frequency distribution table for raw data and to interpret the table
114Statistics part 1Frequency histograms and polygons
Objective: To construct and interpret frequency histograms and polygons
115Statistics part 1Relative Frequency
Objective: To extend the frequency distribution table to include a relative frequency column
116Statistics part 1The Scatter plot
Objective: To make a valid interpretation of data presented as a scatter plot
117ProbabilitySimple events
Objective: To find the probability of events using sample space and event set (E) and P(E) = n(E)/n(S)
118ProbabilityExperimental probability
Objective: To find the experimental probabilities of an experimental trial
119ProbabilityExperimental probability
Objective: To use tree diagrams to determine sample spaces and compound probabilities
120ProbabilityThe Complementary Result
Objective: To calculate the probability of complementary events using P(E) = 1 – P(not E)
121ExamExam – Grade 8
Objective: Exam
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Grade 9 - Principles of Mathematics (Academic) Mathematics

#TOPICTITLE
1Study PlanStudy plan – Grade 9 – Principles of Mathematics (Academic)
Objective: On completion of the course formative assessment a tailored study plan is created identifying the lessons requiring revision.
2Algebra – BasicDirected Numbers: Addition and Subtraction
Objective: To add/subtract numbers using a number line – first number and answer can be negative
3Algebra – BasicDirected Numbers: Multiplication and Division
Objective: To multiply and divide directed numbers and evaluate powers of directed numbers
4FractionsBODMAS
Objective: To calculate answers for fraction and mixed number questions using BODMAS
5DecimalsRounding Decimals
Objective: To round a number with one or two decimal places to the nearest whole number
6DecimalsMultiplication of decimals by decimals to two decimal places
Objective: To multiply decimals to two digits
7DecimalsDividing numbers by decimals
Objective: To divide a whole number by a decimal fraction
8PercentagesChanging percentages to fractions and decimals
Objective: To change percentages to fractions and decimals
9PercentagesOne Quantity as a Percentage of Another
Objective: To determine what one quantity is as a percentage of another
10Uniform motionThe Speed Formula
Objective: To calculate speed, distance or time using speed = distance/time
11Algebra – BasicSimplifying Algebraic Expressions: Combining Addition and Subtraction
Objective: To simplify expressions containing addition and subtraction and two unlike terms
12Algebra – BasicSimplifying Algebraic Expressions: Multiplication
Objective: To simplify algebraic products using (but not stating) the commutative law
13Algebra – BasicSimplifying Algebraic Expressions: Division
Objective: To divide algebraic terms where the divisor is a factor of the dividend
14Algebra – BasicExpanding Algebraic Expressions: multiplication
Objective: To remove grouping symbols from an expression where the multiplier is monomial
15Algebra – BasicExpanding Algebraic Expressions: Negative multiplier
Objective: To expand parentheses when there is a negative multiplier
16Algebra – BasicExpanding and simplifying algebraic expressions
Objective: To expand and simplify algebraic expressions involving grouping symbols
17Algebra – BasicSolving Equations containing Addition and Subtraction
Objective: To solve one-step equations involving addition or subtraction
18Algebra – BasicSolving Equations containing Multiplication and Division
Objective: To solve one-step equations involving multiplication or division
19Algebra – BasicSolving Two-Step Equations
Objective: To solve two-step equations without division in the initial problem
20Algebra – BasicSolving Equations Containing Binomial Expressions
Objective: To solve equations with binomial expressions on each side
21Algebra – BasicEquations involving Grouping Symbols
Objective: To solve equations containing grouping symbols on each side
22Algebra – BasicEquations involving fractions
Objective: To solve fraction equations with the unknown in either the numerator or denominator
23Algebra – BasicEquations Resulting from Substitution into Formulae
Objective: To solve equations created by substituting values into formulae
24Algebra – BasicChanging the Subject of the Formula
Objective: To change the subject of algebraic formulae using equation-solving techniques
25Indices/ExponentsAdding indices when multiplying terms with the same base
Objective: To add indices when multiplying powers that have the same base
26Indices/ExponentsSubtracting indices when dividing terms with the same base
Objective: To subtract indices when dividing powers of the same base
27Indices/ExponentsMultiplying indices when raising a power to a power
Objective: To multiply indices when raising a power to a power
28Indices/ExponentsMultiplying indices when raising to more than one term
Objective: To raise power products to a power
29Indices/ExponentsTerms raised to the power of zero
Objective: To evaluate expressions where quantities are raised to the power 0
30SpaceInformal coordinate system
Objective: To specify location using a map coordinate system – origin top left
31Graphs – BasicLine Graphs
Objective: To read and interpret line graphs
32Graphs – BasicPie and Bar Graphs
Objective: To read and interpret pie and bar graphs
33Statistics part 1Frequency distribution table
Objective: To construct a frequency distribution table for raw data and to interpret the table
34Statistics part 1Frequency histograms and polygons
Objective: To construct and interpret frequency histograms and polygons
35Statistics part 1Relative Frequency
Objective: To extend the frequency distribution table to include a relative frequency column
36Statistics part 1The Scatter plot
Objective: To make a valid interpretation of data presented as a scatter plot
37Co-ordinate geometry part 1The Gradient
Objective: To find the gradient of a line given its angle of inclination or given rise and run
38Co-ordinate geometry part 1The Gradient Formula
Objective: To use the gradient formula to find the gradient of straight lines
39Co-ordinate geometry part 1The Straight Line
Objective: To state the equation of lines parallel to the axes and to graph equations x = a and y = b
40Co-ordinate geometry part 1Lines Through the Origin
Objective: To state the equation of lines passing through the origin and to graph y = mx
41Co-ordinate geometry part 1General Form of a Line and the x and y Intercepts
Objective: To write linear equations in general form, to find the x and y intercepts and to calculate area
42Co-ordinate geometry part 1Slope Intercept Form of a Line
Objective: To change equation to slope intercept form and graph it and to find equation given graph
43Co-ordinate geometry part 1Point Slope Form of a Line
Objective: To find the equation of a line given its slope and a point on the line (y-y1) = m(x-x1)
44Co-ordinate geometry part 2Two Point Formula: equation of a line which joins a pair of points
Objective: To find the equation of the line which joins a pair of points
45Co-ordinate geometry part 2Intercept form of a straight line: find the equation when given x and y
Objective: To find the equation of a line given the x-axis and y-axis intercepts
46Co-ordinate geometry part 2Parallel Lines: identify equation of a line parallel to another
Objective: To change the standard form of a straight line equation to the y = mx + b form
47Co-ordinate geometry part 2Perpendicular Lines
Objective: To identify the equation of a line that is perpendicular to a given linear equation
48SpaceRecognise and name prisms according to spatial properties
Objective: To name prisms according to the shape of the base
49SpaceRecognise and name pyramids according to spatial properties
Objective: To name pyramids according to the shape of the base
50SpaceRecognise nets for prisms, pyramids, cubes and cones
Objective: To match a net with a solid and determine whether a given net forms a solid
51SpaceViewing 3-D Shapes
Objective: To recognise what a solid looks like when viewed from a given direction
52Measurement – LengthRead and calculate distances on a map using the formal unit kilometre
Objective: To read distances (km) from a map and calculate total distances between locations
53Measurement – LengthCompare and convert formal units of measurement
Objective: To change cm to mm and then convert mm, cm, m and km from one to another
54Measurement – AreaIntroducing the Rules for Finding the Area of a Rectangle and a Parallelogram
Objective: To calculate the areas of rectangles and parallelograms using Area of Rectangle = Length x Height and Area of Parallelogram = Base x Height
55Measurement – AreaFinding the Area of a Triangle and Other Composite Shapes
Objective: To calculate the area of triangles and measure and calculate composite shape area
56Measurement – CapacityConverting between volume and capacity using milliliters and liters
Objective: To solve capacity problems involving mixed dimensional units
57Measurement – CapacityEstimate, measure and compare the capacity of containers
Objective: To understand estimation and a way to go about it
58Measurement – Advanced areaArea of a Trapezium
Objective: To calculate the area of trapezia using A=(h/2)(a+b)
59Measurement – Advanced areaArea of a Rhombus
Objective: To calculate the area of a rhombus using diagonal products
60Measurement – Advanced areaArea of a Circle
Objective: To calculate the area of circles and sectors and to solve circle problems
61Measurement – Advanced areaArea of Regular Polygons and Composite Figures
Objective: To calculate area of composite figures and solve problems using correct formulae
62Problem solvingWord Problems with Area
Objective: To solve area word problems using + – x and /
63Measurement – Advanced volumeFinding the volume of prisms
Objective: To calculate the volume of prisms using V=Ah and solve volume problems
64Measurement – Advanced volumeVolume of a Cylinder and Sphere
Objective: To solve problems and calculate volumes of cylinders and spheres and parts of each
65Measurement – Advanced volumeVolume of Pyramids and Cones
Objective: To calculate the volumes of pyramids and cones
66Measurement – Advanced volumeComposite Solids
Objective: To calculate the volume of composite figures using appropriate formulae
67Problem solvingWord Problems with Volume/Capacity
Objective: To solve volume and capacity word problems using + – x and /
68Surface areaSurface Area of a Cube/Rectangular Prism
Objective: To calculate the surface area of cubes and rectangular prisms
69Surface areaSurface Area of a Triangular/Trapezoidal Prism
Objective: To calculate the surface area of triangular and trapezoidal prisms
70Surface areaSurface Area of a Cylinder and Sphere
Objective: To calculate the surface area of cylinders and spheres
71Surface areaSurface Area of Pyramids
Objective: To calculate the surface area of pyramids
72PythagorasPythagoras’ Theorem: Finding the Hypotenuse
Objective: To calculate the length of a hypotenuse using Pythagoras’ Theorem
73PythagorasUsing Pythagorean Triples to Identify Right Triangles
Objective: To identify right triangles by using Pythagorean Triples or Pythagoras’ Theorem
74PythagorasCalculating the Hypotenuse of a right-angled Triangle
Objective: To calculate the length of a hypotenuse where lengths are given as surds or decimals
75PythagorasCalculating a Leg of a right-angled Triangle
Objective: To calculate the length of sides other than the hypotenuse using Pythagoras’ Theorem
76Geometry part 1Angle Sum of a Triangle
Objective: To use the angle sum for a triangle to calculate unknown angles
77Geometry part 1Exterior angle theorem
Objective: To use the external angle of a triangle theorem to calculate unknown angles
78Geometry part 1Special triangles
Objective: To use the properties of equilateral and isosceles triangles to calculate angle size
79Geometry part 1Quadrilaterals
Objective: To use the angle sum of a quadrilateral to calculate unknown angles
80QuadrilateralsQuadrilaterals 1
Objective: To recognise, name and describe the properties of quadrilaterals
81QuadrilateralsProperties of Parallelograms – Opposite Angles Equal
Objective: To prove and use ‘Opposite angles of a parallelogram are congruent’
82QuadrilateralsProperties of Parallelograms – Diagonals, Sides and Angles
Objective: To prove parallelogram properties and calculate unknown angles and lengths
83QuadrilateralsThe Parallelogram Umbrella
Objective: To prove properties of specific parallelograms and find angles and lengths
84QuadrilateralsProperties of Trapezoids
Objective: To prove properties of trapezoids and find unknown lengths and angles
85ExamExam – Grade 9 – Principles of Mathematics (Academic)
Objective: Exam
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Grade 9 - Foundation of Mathematics (Applied) Mathematics

#TOPICTITLE
1Study PlanStudy plan – Grade 9 – Foundation of Mathematics (Applied)
Objective: On completion of the course formative assessment a tailored study plan is created identifying the lessons requiring revision.
2FractionsDividing mixed numbers
Objective: To divide mixed numbers
3FractionsBODMAS
Objective: To calculate answers for fraction and mixed number questions using BODMAS
4DecimalsUsing decimals – shopping problems
Objective: To read and interpret problems involving money
5DecimalsUsing decimals to record length
Objective: To interpret the everyday use of fractions and decimals
6DecimalsRounding Decimals
Objective: To round a number with one or two decimal places to the nearest whole number
7DecimalsMultiplication of decimals by decimals to two decimal places
Objective: To multiply decimals to two digits
8PercentagesUnderstanding percentages
Objective: To recognise the percentage symbol and relate a common percentage to a fraction
9PercentagesChanging fractions and decimals to percentages tenths and hundredths
Objective: To represent fractions and decimals as percentages
10PercentagesChanging percentages to fractions and decimals
Objective: To change percentages to fractions and decimals
11PercentagesOne Quantity as a Percentage of Another
Objective: To determine what one quantity is as a percentage of another
12Uniform motionThe Speed Formula
Objective: To calculate speed, distance or time using speed = distance/time
13Algebra – BasicDirected Numbers: Addition and Subtraction
Objective: To add/subtract numbers using a number line – first number and answer can be negative
14Algebra – BasicDirected Numbers: Multiplication and Division
Objective: To multiply and divide directed numbers and evaluate powers of directed numbers
15Algebra – BasicSimplifying Algebraic Expressions: Combining Addition and Subtraction
Objective: To simplify expressions containing addition and subtraction and two unlike terms
16Algebra – BasicSimplifying Algebraic Expressions: Multiplication
Objective: To simplify algebraic products using (but not stating) the commutative law
17Algebra – BasicSimplifying Algebraic Expressions: Division
Objective: To divide algebraic terms where the divisor is a factor of the dividend
18Algebra – BasicExpanding Algebraic Expressions: multiplication
Objective: To remove grouping symbols from an expression where the multiplier is monomial
19Algebra – BasicExpanding Algebraic Expressions: Negative multiplier
Objective: To expand parentheses when there is a negative multiplier
20Algebra – BasicExpanding and simplifying algebraic expressions
Objective: To expand and simplify algebraic expressions involving grouping symbols
21Algebra – BasicSolving Equations containing Addition and Subtraction
Objective: To solve one-step equations involving addition or subtraction
22Algebra – BasicSolving Equations containing Multiplication and Division
Objective: To solve one-step equations involving multiplication or division
23Algebra – BasicSolving Two-Step Equations
Objective: To solve two-step equations without division in the initial problem
24Algebra – BasicSolving Equations Containing Binomial Expressions
Objective: To solve equations with binomial expressions on each side
25Algebra – BasicEquations involving Grouping Symbols
Objective: To solve equations containing grouping symbols on each side
26Algebra – BasicEquations involving fractions
Objective: To solve fraction equations with the unknown in either the numerator or denominator
27Algebra – BasicEquations Resulting from Substitution into Formulae
Objective: To solve equations created by substituting values into formulae
28Algebra – BasicChanging the Subject of the Formula
Objective: To change the subject of algebraic formulae using equation-solving techniques
29Graphs – BasicLine Graphs
Objective: To read and interpret line graphs
30Graphs – BasicPie and Bar Graphs
Objective: To read and interpret pie and bar graphs
31Statistics part 1Frequency distribution table
Objective: To construct a frequency distribution table for raw data and to interpret the table
32Statistics part 1Frequency histograms and polygons
Objective: To construct and interpret frequency histograms and polygons
33Statistics part 1Relative Frequency
Objective: To extend the frequency distribution table to include a relative frequency column
34Statistics part 1The Scatter plot
Objective: To make a valid interpretation of data presented as a scatter plot
35SpaceRecognise and name prisms according to spatial properties
Objective: To name prisms according to the shape of the base
36SpaceRecognise and name pyramids according to spatial properties
Objective: To name pyramids according to the shape of the base
37SpaceRecognise nets for prisms, pyramids, cubes and cones
Objective: To match a net with a solid and determine whether a given net forms a solid
38SpaceViewing 3-D Shapes
Objective: To recognise what a solid looks like when viewed from a given direction
39Measurement – LengthRead and calculate distances on a map using the formal unit kilometre
Objective: To read distances (km) from a map and calculate total distances between locations
40Measurement – LengthCompare and convert formal units of measurement
Objective: To change cm to mm and then convert mm, cm, m and km from one to another
41Measurement – AreaIntroducing the Rules for Finding the Area of a Rectangle and a Parallelogram
Objective: To calculate the areas of rectangles and parallelograms using Area of Rectangle = Length x Height and Area of Parallelogram = Base x Height
42Measurement – AreaFinding the Area of a Triangle and Other Composite Shapes
Objective: To calculate the area of triangles and measure and calculate composite shape area
43Measurement – CapacityConverting between volume and capacity using milliliters and liters
Objective: To solve capacity problems involving mixed dimensional units
44Measurement – CapacityEstimate, measure and compare the capacity of containers
Objective: To understand estimation and a way to go about it
45Measurement – Advanced areaArea of a Trapezium
Objective: To calculate the area of trapezia using A=(h/2)(a+b)
46Measurement – Advanced areaArea of a Rhombus
Objective: To calculate the area of a rhombus using diagonal products
47Measurement – Advanced areaArea of a Circle
Objective: To calculate the area of circles and sectors and to solve circle problems
48Measurement – Advanced areaArea of Regular Polygons and Composite Figures
Objective: To calculate area of composite figures and solve problems using correct formulae
49Problem solvingWord Problems with Area
Objective: To solve area word problems using + – x and /
50Measurement – Advanced volumeFinding the volume of prisms
Objective: To calculate the volume of prisms using V=Ah and solve volume problems
51Measurement – Advanced volumeVolume of a Cylinder and Sphere
Objective: To solve problems and calculate volumes of cylinders and spheres and parts of each
52Measurement – Advanced volumeVolume of Pyramids and Cones
Objective: To calculate the volumes of pyramids and cones
53Measurement – Advanced volumeComposite Solids
Objective: To calculate the volume of composite figures using appropriate formulae
54Problem solvingWord Problems with Volume/Capacity
Objective: To solve volume and capacity word problems using + – x and /
55Surface areaSurface Area of a Cube/Rectangular Prism
Objective: To calculate the surface area of cubes and rectangular prisms
56Surface areaSurface Area of a Triangular/Trapezoidal Prism
Objective: To calculate the surface area of triangular and trapezoidal prisms
57Surface areaSurface Area of a Cylinder and Sphere
Objective: To calculate the surface area of cylinders and spheres
58Surface areaSurface Area of Pyramids
Objective: To calculate the surface area of pyramids
59PythagorasPythagoras’ Theorem: Finding the Hypotenuse
Objective: To calculate the length of a hypotenuse using Pythagoras’ Theorem
60PythagorasUsing Pythagorean Triples to Identify Right Triangles
Objective: To identify right triangles by using Pythagorean Triples or Pythagoras’ Theorem
61PythagorasCalculating the Hypotenuse of a right-angled Triangle
Objective: To calculate the length of a hypotenuse where lengths are given as surds or decimals
62PythagorasCalculating a Leg of a right-angled Triangle
Objective: To calculate the length of sides other than the hypotenuse using Pythagoras’ Theorem
63Geometry part 1Angle Sum of a Triangle
Objective: To use the angle sum for a triangle to calculate unknown angles
64Geometry part 1Exterior angle theorem
Objective: To use the external angle of a triangle theorem to calculate unknown angles
65Geometry part 1Special triangles
Objective: To use the properties of equilateral and isosceles triangles to calculate angle size
66Geometry part 1Quadrilaterals
Objective: To use the angle sum of a quadrilateral to calculate unknown angles
67QuadrilateralsQuadrilaterals 1
Objective: To recognise, name and describe the properties of quadrilaterals
68QuadrilateralsProperties of Parallelograms – Opposite Angles Equal
Objective: To prove and use ‘Opposite angles of a parallelogram are congruent’
69QuadrilateralsProperties of Parallelograms – Diagonals, Sides and Angles
Objective: To prove parallelogram properties and calculate unknown angles and lengths
70QuadrilateralsThe Parallelogram Umbrella
Objective: To prove properties of specific parallelograms and find angles and lengths
71QuadrilateralsProperties of Trapezoids
Objective: To prove properties of trapezoids and find unknown lengths and angles
72ExamExam – Grade 9 – Foundation of Mathematics (Applied)
Objective: Exam
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Grade 10 - Principles of Mathematics (Academic) Mathematics

#TOPICTITLE
1Study PlanStudy plan – Grade 10 – Principles of Mathematics (Academic)
Objective: On completion of the course formative assessment a tailored study plan is created identifying the lessons requiring revision.
2Algebra – Products and factorsBinomial Products
Objective: To expand and simplify monic binomial products of the form (x + a)(x +/- b)
3Algebra – Products and factorsBinomial products with negative multiplier
Objective: To expand and simplify monic binomial products of the form (x – a)(x +/- b)
4Algebra – Products and factorsBinomial Products (nonmonic)
Objective: To expand and simplify nonmonic binomial products
5Algebra – Products and factorsSquaring a Binomial (monic)
Objective: To expand the square of a binomial by multiplication and by inspection
6Algebra – Products and factorsSquaring a Binomial (nonmonic)
Objective: To expand the square of a nonmonic binomial by inspection
7Algebra – Products and factorsExpansions Leading to the Difference of Two Squares
Objective: To expand the product of conjugate binomials leading to differences of squares
8Algebra – Products and factorsProducts in Simplification of Algebraic Expressions
Objective: To simplify algebraic expressions containing binomial products
9Algebra – Products and factorsLarger Expansions
Objective: To expand and simplify the product of a binomial and a trinomial
10Algebra – Products and factorsHighest Common Factor
Objective: To factorise an expression by identifying and extracting the highest common factor
11Algebra – Products and factorsFactors by Grouping
Objective: To factorise a four-term expression by grouping
12Algebra – Products and factorsDifference of Two Squares
Objective: To factorise differences of two squares
13Algebra – Products and factorsCommon factor and the difference of two squares
Objective: On completion of the lesson the student will be aware of common factors and recognize the difference of two squares.
14Algebra – Products and factorsQuadratic Trinomials (monic): Case 1
Objective: On completion of the lesson the student will understand the factorization of quadratic trinomial equations with all terms positive.
15Algebra – Products and factorsQuadratic 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.
16Algebra – Products and factorsQuadratic Trinomials (monic): Case 3
Objective: On completion of the lesson the student will have an increased knowledge on factorizing quadratic trinomials and will understand where the 2nd term is positive and the 3rd term is negative.
17Algebra – Products and factorsQuadratic Trinomials (monic): Case 4
Objective: On completion of the lesson the student will understand how to factorize all of the possible types of monic quadratic trinomials and specifcally where the 2nd term and 3rd terms are negative.
18Algebra – Products and factorsFactorisation of nonmonic quadratic trinomials
Objective: To factorise nonmonic quadratic trinomials using the ‘X’ method
19Graphs part 1The parabola: to describe properties of a parabola from its equation
Objective: To describe properties of a parabola from its equation and sketch the parabola
20Graphs part 1Quadratic Polynomials of the form y = ax^2 + bx + c
Objective: To describe and sketch parabolas of the form y = x^2 + bx + c
21Graphs part 1Graphing perfect squares: y=(a-x) squared
Objective: To describe and sketch parabolas of the form y = (x – a)^2
22Graphs part 1Graphing irrational roots
Objective: To determine the vertex (using -b/2a), and other derived properties, to sketch a parabola
23Graphs part 1Solving Simultaneous Equations graphically
Objective: To solve simultaneous equations graphically
24Algebra – Quadratic equationsIntroduction to Quadratic Equations
Objective: To find the solutions of quadratic equations presented as a product of factors
25Algebra – Quadratic equationsSolving Quadratic Equations with Factorisation
Objective: To solve quadratic equations requiring factorisation
26Algebra – Quadratic equationsSolving Quadratic Equations
Objective: To solve quadratic equations that need to be changed into the form ax^2 + bx + c = 0
27Algebra – Quadratic equationsCompleting the square
Objective: To complete an incomplete square
28Algebra – Quadratic equationsSolving Quadratic Equations by Completing the Square
Objective: To solve quadratic equations by completing the square
29Algebra – Quadratic equationsThe Quadratic Formula
Objective: To find the roots of a quadratic equation by using the quadratic formula
30Algebra – Quadratic equationsProblem solving with quadratic equations
Objective: To solve problems which require finding the roots of a quadratic equation
31Algebra – Quadratic equationsSolving Simultaneous Quadratic Equations Graphically
Objective: To determine points of intersection of quadratic and linear equations
32Conic sectionsThe Parabola
Objective: To examine the properties of parabolas of the forms x^2 = 4py and y^2 = 4px
33Graphs part 2The Rectangular Hyperbola
Objective: To graph rectangular hyperbolae whose equations are of the form xy = a and y = a/x
34Graphs part 2The Exponential Function
Objective: To graph exponential curves whose exponents are either positive or negative
35Co-ordinate geometry part 1The Distance Formula
Objective: To use the distance formula to calculate the lengths of lines and distances
36Co-ordinate geometry part 1The Mid-Point Formula
Objective: To determine the mid-point of an interval using the mid-point formula
37Co-ordinate geometry part 1The Gradient
Objective: To find the gradient of a line given its angle of inclination or given rise and run
38Co-ordinate geometry part 1The Gradient Formula
Objective: To use the gradient formula to find the gradient of straight lines
39Co-ordinate geometry part 1The Straight Line
Objective: To state the equation of lines parallel to the axes and to graph equations x = a and y = b
40Co-ordinate geometry part 1Lines Through the Origin
Objective: To state the equation of lines passing through the origin and to graph y = mx
41Co-ordinate geometry part 1General Form of a Line and the x and y Intercepts
Objective: To write linear equations in general form, to find the x and y intercepts and to calculate area
42Co-ordinate geometry part 1Slope Intercept Form of a Line
Objective: To change equation to slope intercept form and graph it and to find equation given graph
43Co-ordinate geometry part 1Point Slope Form of a Line
Objective: To find the equation of a line given its slope and a point on the line (y-y1) = m(x-x1)
44Graphs part 1The Circle: to find radii of circles
Objective: To find radii of circles, centre (0, 0) using x^2 + y^2 = a^2 and write equations of circles
45Graphs part 1The semicircle: to select the equation given the semicircle and vice versa
Objective: To select the equation given a semicircle and vice versa
46Conic sectionsCircles
Objective: To graph circles of the form x^2 + y^2 = r^2 and to form the equation of the given circles
47Co-ordinate geometry part 2Two Point Formula: equation of a line which joins a pair of points
Objective: To find the equation of the line which joins a pair of points
48Co-ordinate geometry part 2Intercept form of a straight line: find the equation when given x and y
Objective: To find the equation of a line given the x-axis and y-axis intercepts
49Co-ordinate geometry part 2Parallel Lines: identify equation of a line parallel to another
Objective: To change the standard form of a straight line equation to the y = mx + b form
50Co-ordinate geometry part 2Perpendicular Lines
Objective: To identify the equation of a line that is perpendicular to a given linear equation
51Co-ordinate geometry part 2Perpendicular Distance
Objective: To calculate the perpendicular distance from a point to a line and between lines
52Geometry part 2Congruent triangles: Tests 1 and 2
Objective: To recognise congruent triangles and matching sides and angles using SSS and SAS
53Geometry part 2Congruent triangles: Tests 3 and 4
Objective: To recognise congruent triangles and matching sides and angles using AAS and RHS
54Geometry part 2Proofs and Congruent Triangles
Objective: To use congruency in formal proofs in order to determine unknown angles and sides
55Geometry part 2Similar Triangles
Objective: To use similarity tests for triangles and determine unknown sides and angles in triangles
56Geometry part 2Using Similar Triangles to Calculate Lengths
Objective: To determine unknown sides and angles of similar triangles
57Geometry part 2Examples involving overlapping triangles
Objective: To determine the lengths of unknown sides in overlapping or adjacent similar triangles
58PythagorasPythagoras’ Theorem: Finding the Hypotenuse
Objective: To calculate the length of a hypotenuse using Pythagoras’ Theorem
59PythagorasUsing Pythagorean Triples to Identify Right Triangles
Objective: To identify right triangles by using Pythagorean Triples or Pythagoras’ Theorem
60PythagorasCalculating the Hypotenuse of a right-angled Triangle
Objective: To calculate the length of a hypotenuse where lengths are given as surds or decimals
61PythagorasCalculating a Leg of a right-angled Triangle
Objective: To calculate the length of sides other than the hypotenuse using Pythagoras’ Theorem
62Trigonometry part 1Trigonometric Ratios
Objective: To name the sides of a right-angled triangle and to determine the trig ratios of an angle
63Trigonometry part 1Using the Calculator
Objective: To determine trigonometric ratios using a calculator
64Trigonometry part 1Using the Trigonometric Ratios to find unknown length [Case 1 Sin]
Objective: To use the sine ratio to calculate the opposite side of a right-angled triangle
65Trigonometry part 1Using the Trigonometric Ratios to find unknown length [Case 2 Cosine]
Objective: To use the cosine ratio to calculate the adjacent side of a right-angle triangle
66Trigonometry part 1Using the Trigonometric Ratios to find unknown length [Case 3 Tangent Ratio]
Objective: To use the tangent ratio to calculate the opposite side of a right-angled triangle
67Trigonometry part 1Unknown in the Denominator [Case 4]
Objective: To use trigonometry to find sides of a right-angled triangle and the Unknown in denominator
68Trigonometry part 1Bearings: The Compass
Objective: To change from true bearings to compass bearings and vice versa
69Trigonometry part 1Angles of Elevation and Depression
Objective: To identify and distinguish between angles of depression and elevation
70Trigonometry part 1Trigonometric Ratios in Practical Situations
Objective: To solve problems involving bearings and angles of elevation and depression
71Trigonometry part 1Using the Calculator to Find an Angle Given a Trigonometric Ratio
Objective: To find angles in right-angled triangles given trigonometric ratios
72Trigonometry part 1Using the Trigonometric Ratios to Find an Angle in a Right-Angled Triangle
Objective: To use trigonometric ratios to determine angles in right-angled triangles and in problems
73Trigonometry part 1Trigonometric Ratios of 30, 45 and 60 Degrees: Exact Ratios
Objective: To determine the exact values of sin, cos and tan of 30, 45 and 60 degrees
74Trigonometry part 1The Cosine Rule to find an unknown side [Case 1 SAS]
Objective: To complete the cosine rule to find a subject side for given triangles
75Trigonometry part 1The Sine Rule to find an unknown side: Case 1
Objective: To complete the cosine rule to find a subject angle for given triangles
76Trigonometry part 1The Sine Rule: Finding a Side
Objective: To find an unknown side of a triangle using the sine rule
77Trigonometry part 1The Sine Rule: Finding an Angle
Objective: To find an unknown angle of a triangle using the sine rule
78ExamExam – Grade 10 – Principles of Mathematics (Academic)
Objective: Exam
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Grade 10 - Foundation of Mathematics (Applied) Mathematics

#TOPICTITLE
1Study PlanStudy plan – Grade 10 – Foundation of Mathematics (Applied)
Objective: On completion of the course formative assessment a tailored study plan is created identifying the lessons requiring revision.
2Geometry part 2Congruent triangles: Tests 1 and 2
Objective: To recognise congruent triangles and matching sides and angles using SSS and SAS
3Geometry part 2Congruent triangles: Tests 3 and 4
Objective: To recognise congruent triangles and matching sides and angles using AAS and RHS
4Geometry part 2Proofs and Congruent Triangles
Objective: To use congruency in formal proofs in order to determine unknown angles and sides
5Geometry part 2Similar Triangles
Objective: To use similarity tests for triangles and determine unknown sides and angles in triangles
6Geometry part 2Using Similar Triangles to Calculate Lengths
Objective: To determine unknown sides and angles of similar triangles
7Geometry part 2Examples involving overlapping triangles
Objective: To determine the lengths of unknown sides in overlapping or adjacent similar triangles
8PythagorasPythagoras’ Theorem: Finding the Hypotenuse
Objective: To calculate the length of a hypotenuse using Pythagoras’ Theorem
9PythagorasUsing Pythagorean Triples to Identify Right Triangles
Objective: To identify right triangles by using Pythagorean Triples or Pythagoras’ Theorem
10PythagorasCalculating the Hypotenuse of a right-angled Triangle
Objective: To calculate the length of a hypotenuse where lengths are given as surds or decimals
11PythagorasCalculating a Leg of a right-angled Triangle
Objective: To calculate the length of sides other than the hypotenuse using Pythagoras’ Theorem
12Trigonometry part 1Trigonometric Ratios
Objective: To name the sides of a right-angled triangle and to determine the trig ratios of an angle
13Trigonometry part 1Using the Calculator
Objective: To determine trigonometric ratios using a calculator
14Trigonometry part 1Using the Trigonometric Ratios to find unknown length [Case 1 Sin]
Objective: To use the sine ratio to calculate the opposite side of a right-angled triangle
15Trigonometry part 1Using the Trigonometric Ratios to find unknown length [Case 2 Cosine]
Objective: To use the cosine ratio to calculate the adjacent side of a right-angle triangle
16Trigonometry part 1Using the Trigonometric Ratios to find unknown length [Case 3 Tangent Ratio]
Objective: To use the tangent ratio to calculate the opposite side of a right-angled triangle
17Trigonometry part 1Unknown in the Denominator [Case 4]
Objective: To use trigonometry to find sides of a right-angled triangle and the Unknown in denominator
18Trigonometry part 1Bearings: The Compass
Objective: To change from true bearings to compass bearings and vice versa
19Trigonometry part 1Angles of Elevation and Depression
Objective: To identify and distinguish between angles of depression and elevation
20Trigonometry part 1Trigonometric Ratios in Practical Situations
Objective: To solve problems involving bearings and angles of elevation and depression
21Trigonometry part 1Using the Calculator to Find an Angle Given a Trigonometric Ratio
Objective: To find angles in right-angled triangles given trigonometric ratios
22Trigonometry part 1Using the Trigonometric Ratios to Find an Angle in a Right-Angled Triangle
Objective: To use trigonometric ratios to determine angles in right-angled triangles and in problems
23Measurement – LengthCompare and convert formal units of measurement
Objective: To change cm to mm and then convert mm, cm, m and km from one to another
24Measurement – AreaIntroducing the Rules for Finding the Area of a Rectangle and a Parallelogram
Objective: To calculate the areas of rectangles and parallelograms using Area of Rectangle = Length x Height and Area of Parallelogram = Base x Height
25Measurement – AreaFinding the Area of a Triangle and Other Composite Shapes
Objective: To calculate the area of triangles and measure and calculate composite shape area
26Measurement – CapacityConverting between volume and capacity using milliliters and liters
Objective: To solve capacity problems involving mixed dimensional units
27Measurement – CapacityEstimate, measure and compare the capacity of containers
Objective: To understand estimation and a way to go about it
28Measurement – Advanced areaArea of a Trapezium
Objective: To calculate the area of trapezia using A=(h/2)(a+b)
29Measurement – Advanced areaArea of a Rhombus
Objective: To calculate the area of a rhombus using diagonal products
30Measurement – Advanced areaArea of a Circle
Objective: To calculate the area of circles and sectors and to solve circle problems
31Measurement – Advanced areaArea of Regular Polygons and Composite Figures
Objective: To calculate area of composite figures and solve problems using correct formulae
32Problem solvingWord Problems with Area
Objective: To solve area word problems using + – x and /
33Measurement – Advanced volumeFinding the volume of prisms
Objective: To calculate the volume of prisms using V=Ah and solve volume problems
34Measurement – Advanced volumeVolume of a Cylinder and Sphere
Objective: To solve problems and calculate volumes of cylinders and spheres and parts of each
35Measurement – Advanced volumeVolume of Pyramids and Cones
Objective: To calculate the volumes of pyramids and cones
36Measurement – Advanced volumeComposite Solids
Objective: To calculate the volume of composite figures using appropriate formulae
37Problem solvingWord Problems with Volume/Capacity
Objective: To solve volume and capacity word problems using + – x and /
38Surface areaSurface Area of a Cube/Rectangular Prism
Objective: To calculate the surface area of cubes and rectangular prisms
39Surface areaSurface Area of a Triangular/Trapezoidal Prism
Objective: To calculate the surface area of triangular and trapezoidal prisms
40Surface areaSurface Area of a Cylinder and Sphere
Objective: To calculate the surface area of cylinders and spheres
41Surface areaSurface Area of Pyramids
Objective: To calculate the surface area of pyramids
42Co-ordinate geometry part 1The Gradient
Objective: To find the gradient of a line given its angle of inclination or given rise and run
43Co-ordinate geometry part 1The Gradient Formula
Objective: To use the gradient formula to find the gradient of straight lines
44Co-ordinate geometry part 1The Straight Line
Objective: To state the equation of lines parallel to the axes and to graph equations x = a and y = b
45Co-ordinate geometry part 1Lines Through the Origin
Objective: To state the equation of lines passing through the origin and to graph y = mx
46Co-ordinate geometry part 1General Form of a Line and the x and y Intercepts
Objective: To write linear equations in general form, to find the x and y intercepts and to calculate area
47Co-ordinate geometry part 1Slope Intercept Form of a Line
Objective: To change equation to slope intercept form and graph it and to find equation given graph
48Co-ordinate geometry part 1Point Slope Form of a Line
Objective: To find the equation of a line given its slope and a point on the line (y-y1) = m(x-x1)
49Co-ordinate geometry part 2Two Point Formula: equation of a line which joins a pair of points
Objective: To find the equation of the line which joins a pair of points
50Co-ordinate geometry part 2Intercept form of a straight line: find the equation when given x and y
Objective: To find the equation of a line given the x-axis and y-axis intercepts
51Algebra – BasicSolving Two-Step Equations
Objective: To solve two-step equations without division in the initial problem
52Algebra – BasicSolving Equations Containing Binomial Expressions
Objective: To solve equations with binomial expressions on each side
53Algebra – BasicEquations involving Grouping Symbols
Objective: To solve equations containing grouping symbols on each side
54Algebra – BasicEquations involving fractions
Objective: To solve fraction equations with the unknown in either the numerator or denominator
55Algebra – BasicEquations Resulting from Substitution into Formulae
Objective: To solve equations created by substituting values into formulae
56Algebra – BasicChanging the Subject of the Formula
Objective: To change the subject of algebraic formulae using equation-solving techniques
57Simultaneous equationsSimultaneous Equations
Objective: To solve simultaneous equations by substitution
58Simultaneous equationsElimination method
Objective: To solve simultaneous equations by elimination
59Simultaneous equationsElimination method part 2
Objective: To solve more difficult simultaneous equations by elimination
60Simultaneous equationsApplications of simultaneous equations
Objective: To solve problems using simultaneous equations
61Algebra – Products and factorsBinomial Products
Objective: To expand and simplify monic binomial products of the form (x + a)(x +/- b)
62Algebra – Products and factorsBinomial products with negative multiplier
Objective: To expand and simplify monic binomial products of the form (x – a)(x +/- b)
63Algebra – Products and factorsBinomial Products (nonmonic)
Objective: To expand and simplify nonmonic binomial products
64Algebra – Products and factorsSquaring a Binomial (monic)
Objective: To expand the square of a binomial by multiplication and by inspection
65Algebra – Products and factorsSquaring a Binomial (nonmonic)
Objective: To expand the square of a nonmonic binomial by inspection
66Algebra – Products and factorsExpansions Leading to the Difference of Two Squares
Objective: To expand the product of conjugate binomials leading to differences of squares
67Algebra – Products and factorsProducts in Simplification of Algebraic Expressions
Objective: To simplify algebraic expressions containing binomial products
68Algebra – Products and factorsLarger Expansions
Objective: To expand and simplify the product of a binomial and a trinomial
69Algebra – Products and factorsHighest Common Factor
Objective: To factorise an expression by identifying and extracting the highest common factor
70Algebra – Products and factorsFactors by Grouping
Objective: To factorise a four-term expression by grouping
71Algebra – Products and factorsDifference of Two Squares
Objective: To factorise differences of two squares
72Algebra – Products and factorsCommon factor and the difference of two squares
Objective: On completion of the lesson the student will be aware of common factors and recognize the difference of two squares.
73Algebra – Products and factorsQuadratic Trinomials (monic): Case 1
Objective: On completion of the lesson the student will understand the factorization of quadratic trinomial equations with all terms positive.
74Algebra – Products and factorsQuadratic 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.
75Algebra – Products and factorsQuadratic Trinomials (monic): Case 3
Objective: On completion of the lesson the student will have an increased knowledge on factorizing quadratic trinomials and will understand where the 2nd term is positive and the 3rd term is negative.
76Algebra – Products and factorsQuadratic Trinomials (monic): Case 4
Objective: On completion of the lesson the student will understand how to factorize all of the possible types of monic quadratic trinomials and specifcally where the 2nd term and 3rd terms are negative.
77Algebra – Products and factorsFactorisation of nonmonic quadratic trinomials
Objective: To factorise nonmonic quadratic trinomials using the ‘X’ method
78Graphs part 1The parabola: to describe properties of a parabola from its equation
Objective: To describe properties of a parabola from its equation and sketch the parabola
79Graphs part 1Quadratic Polynomials of the form y = ax^2 + bx + c
Objective: To describe and sketch parabolas of the form y = x^2 + bx + c
80Graphs part 1Graphing perfect squares: y=(a-x) squared
Objective: To describe and sketch parabolas of the form y = (x – a)^2
81Graphs part 1Graphing irrational roots
Objective: To determine the vertex (using -b/2a), and other derived properties, to sketch a parabola
82Graphs part 1Solving Simultaneous Equations graphically
Objective: To solve simultaneous equations graphically
83Algebra – Quadratic equationsIntroduction to Quadratic Equations
Objective: To find the solutions of quadratic equations presented as a product of factors
84Algebra – Quadratic equationsSolving Quadratic Equations with Factorisation
Objective: To solve quadratic equations requiring factorisation
85Algebra – Quadratic equationsSolving Quadratic Equations
Objective: To solve quadratic equations that need to be changed into the form ax^2 + bx + c = 0
86Algebra – Quadratic equationsCompleting the square
Objective: To complete an incomplete square
87Algebra – Quadratic equationsSolving Quadratic Equations by Completing the Square
Objective: To solve quadratic equations by completing the square
88Algebra – Quadratic equationsThe Quadratic Formula
Objective: To find the roots of a quadratic equation by using the quadratic formula
89Algebra – Quadratic equationsProblem solving with quadratic equations
Objective: To solve problems which require finding the roots of a quadratic equation
90Algebra – Quadratic equationsSolving Simultaneous Quadratic Equations Graphically
Objective: To determine points of intersection of quadratic and linear equations
91Conic sectionsThe Parabola
Objective: To examine the properties of parabolas of the forms x^2 = 4py and y^2 = 4px
92ExamExam – Grade 10 – Foundation of Mathematics (Applied)
Objective: Exam
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Grade 11 - Functions Mathematics

#TOPICTITLE
1Study PlanStudy plan – Grade 11 – Functions
Objective: On completion of the course formative assessment a tailored study plan is created identifying the lessons requiring revision.
2Surds/RadicalsIntroducing surds
Objective: To recognise and simplify numerical expressions involving surds
3Surds/RadicalsSome rules for the operations with surds
Objective: To learn rules for the division and multiplication of surds
4Surds/RadicalsSimplifying Surds
Objective: To simplify numerical expressions and solve equations involving surds
5Surds/RadicalsCreating entire surds
Objective: To write numbers as entire surds and compare numbers by writing as entire surds
6Surds/RadicalsAdding and subtracting like surds
Objective: To add and subtract surds and simplify expressions by collecting like surds
7Surds/RadicalsExpanding surds
Objective: To expand and simplify binomial expressions involving surds
8Surds/RadicalsBinomial expansions
Objective: To expand and simplify the squares of binomial sums and differences involving surds
9Surds/RadicalsConjugate binomials with surds
Objective: To expand and simplify products of conjugate binomial expressions
10Surds/RadicalsRationalising the denominator
Objective: To rationalise the denominator of a fraction where the denominator is a monomial surd
11Surds/RadicalsRationalising binomial denominators
Objective: To rationalise the denominator of a fraction when the denominator is a binomial with surds
12Algebra – BasicSimplifying easy algebraic fractions
Objective: To simplify simple algebraic fractions using cancellation of common factors
13Algebra – BasicSimplifying algebraic fractions using the Index Laws
Objective: To use the index laws for division to simplify algebraic fractions
14Algebra – BasicAlgebraic fractions resulting in negative Indices
Objective: To simplify algebraic fractions using negative indices (as required) in the answer
15Algebra – BasicFactorisation of algebraic fractions including binomials
Objective: To simplify algebraic fractions requiring the factorisation of binomial expressions
16Algebra – BasicCancelling binomial factors in algebraic fractions
Objective: To simplify algebraic fractions with binomials in both the numerator and denominator
17Indices/ExponentsAdding indices when multiplying terms with the same base
Objective: To add indices when multiplying powers that have the same base
18Indices/ExponentsSubtracting indices when dividing terms with the same base
Objective: To subtract indices when dividing powers of the same base
19Indices/ExponentsMultiplying indices when raising a power to a power
Objective: To multiply indices when raising a power to a power
20Indices/ExponentsMultiplying indices when raising to more than one term
Objective: To raise power products to a power
21Indices/ExponentsTerms raised to the power of zero
Objective: To evaluate expressions where quantities are raised to the power 0
22Indices/ExponentsNegative Indices
Objective: To evaluate or simplify expressions containing negative indices
23Indices/ExponentsFractional Indices
Objective: To evaluate or simplify expressions containing fractional indices
24Indices/ExponentsComplex fractions as indices
Objective: To evaluate or simplify expressions containing complex fractional indices and radicals
25Graphs part 1The parabola: to describe properties of a parabola from its equation
Objective: To describe properties of a parabola from its equation and sketch the parabola
26Graphs part 1Quadratic Polynomials of the form y = ax^2 + bx + c
Objective: To describe and sketch parabolas of the form y = x^2 + bx + c
27Graphs part 1Graphing perfect squares: y=(a-x) squared
Objective: To describe and sketch parabolas of the form y = (x – a)^2
28Graphs part 1Graphing irrational roots
Objective: To determine the vertex (using -b/2a), and other derived properties, to sketch a parabola
29Graphs part 1Solving Simultaneous Equations graphically
Objective: To solve simultaneous equations graphically
30Algebra – Quadratic equationsSolving Quadratic Equations
Objective: To solve quadratic equations that need to be changed into the form ax^2 + bx + c = 0
31Algebra – Quadratic equationsCompleting the square
Objective: To complete an incomplete square
32Algebra – Quadratic equationsSolving Quadratic Equations by Completing the Square
Objective: To solve quadratic equations by completing the square
33Algebra – Quadratic equationsThe Quadratic Formula
Objective: To find the roots of a quadratic equation by using the quadratic formula
34Algebra – Quadratic equationsProblem solving with quadratic equations
Objective: To solve problems which require finding the roots of a quadratic equation
35Algebra – Quadratic equationsSolving Simultaneous Quadratic Equations Graphically
Objective: To determine points of intersection of quadratic and linear equations
36LogarithmsPowers of 2
Objective: To convert between logarithm statements and indice statements
37LogarithmsEquations of type log x to the base 3 = 4
Objective: To find the value of x in a statement of type log x to the base 3 = 4
38LogarithmsEquations of type log 32 to the base x = 5
Objective: To solve Logrithmic Equation where the variable is the base x = 5
39Graphs part 2Graphing complex polynomials: quadratics with no real roots
Objective: To graph quadratics that have no real roots, hence don’t cut the x-axis
40Graphs part 2General equation of a circle: determine and graph the equation
Objective: To determine and graph the equation of a circle with radius a and centre (h,k)
41Graphs part 2Graphing cubic curves
Objective: To graph cubic curves whose equation is of the form y = (x – a)^3 + b or y = (a – x)^3 + b
42Graphs part 2Absolute Value Equations
Objective: To graph equations involving absolute values
43Graphs part 2The Rectangular Hyperbola
Objective: To graph rectangular hyperbolae whose equations are of the form xy = a and y = a/x
44Graphs part 2The Exponential Function
Objective: To graph exponential curves whose exponents are either positive or negative
45Graphs part 2Logarithmic Functions
Objective: To graph and describe log curves whose equations are of the form y = log (ax + b)
46Conic sectionsIntroduction to Conic Sections and Their General Equation
Objective: To identify the conic from its equation by examining the coefficients of x^2 and y^2
47Conic sectionsThe Parabola
Objective: To examine the properties of parabolas of the forms x^2 = 4py and y^2 = 4px
48Conic sectionsCircles
Objective: To graph circles of the form x^2 + y^2 = r^2 and to form the equation of the given circles
49Conic sectionsThe Ellipsis
Objective: To identify ellipses of the form x^2/a^2 + y^2/b^2 = 1 and to find the equation of ellipses
50Conic sectionsThe Hyperbola
Objective: To find the equation of a hyperbola and to derive properties (e.g. vertex) from its equation
51FunctionFunctions and Relations: domain and range
Objective: To identify and represent functions and relations
52FunctionFunction Notation
Objective: To write and evaluate functions using function notation
53FunctionSelecting Appropriate Domain and Range
Objective: To determine appropriate domains for functions
54FunctionDomain and Range from Graphical Representations
Objective: To determine the range of a function from its graphical representation
55FunctionEvaluating and Graphing Piecewise Functions
Objective: To evaluate and graph piecewise functions
56FunctionCombining Functions
Objective: To determine the resultant function after functions have been combined by plus, minus, times and divide
57FunctionSimplifying Composite Functions
Objective: To simplify, evaluate and determine the domain of composite functions
58FunctionInverse Functions
Objective: To find the inverse of a function and determine whether this inverse is itself a function
59FunctionGraphing Rational Functions Part 1
Objective: To determine asymptotes and graph rational functions using intercepts and asymptotes
60FunctionGraphing Rational Functions Part 2
Objective: To determine asymptotes and graph rational functions
61FunctionParametric Equations
Objective: To interchange parametric and Cartesian equations and to identify graphs
62FunctionPolynomial Addition: in Combining and Simplifying Functions
Objective: To evaluate, simplify and graph rational functions
63FunctionParametric Functions
Objective: To change Cartesian and parametric equations and to graph parametric functions
64PolynomialsIntroduction to polynomials
Objective: To define polynomials by degree, leading term, leading coefficient, constant term and monic
65PolynomialsThe Sum, Difference and Product of Two Polynomials
Objective: To add, subtract and multiply polynomials
66Series and sequences part 1General Sequences
Objective: To use the general form of the n’th term of a sequence to find the first 3 terms
67Series and sequences part 1Finding Tn Given Sn
Objective: To find the value of the n’th term in a sequence given the sum of the first n terms
68Series and sequences part 1The Arithmetic Progression
Objective: To find the common difference of a given arithmetic progression
69Series and sequences part 1Finding the position of a term in an A.P.
Objective: To find the position of a term in a sequence, given an arithmetic progression and a value term
70Series and sequences part 1Given two terms of A.P. find the sequence
Objective: To find the first term and the common difference in an A.P. given the values and positions of two terms
71Series and sequences part 1Arithmetic Means
Objective: To find the arithmetic mean of two values
72Series and sequences part 1The sum to n terms of an A.P.
Objective: To find the sum of n terms of an arithmetic progression given the first three terms
73Series and sequences part 1The Geometric Progression
Objective: To find the common ratio of a given geometric progression
74Series and sequences part 1Finding the position of a term in a G.P.
Objective: To find the place of a term in a given geometric progression
75Series and sequences part 1Given two terms of G.P. find the sequence
Objective: To find the first term given two terms of a geometric progression
76Series and sequences part 2Geometric Means
Objective: To find geometric means of a and b and insert geometric means between 2 endpoints
77Series and sequences part 2The sum to n terms of a G.P.
Objective: To find the sum of n terms of a sequence
78Series and sequences part 2Sigma notation
Objective: To evaluate progressions using sigma notation
79Series and sequences part 2Limiting Sum or Sum to Infinity
Objective: To find the limiting sum of a sequence
80Series and sequences part 2Recurring Decimals and the Infinite G.P.
Objective: To express recurring decimals as a G.P. and to express the limiting sum as a fraction
81Series and sequences part 2Compound Interest
Objective: To calculate the compound interest of an investment using A=P(1+r/100)^n
82Series and sequences part 2Superannuation
Objective: To calculate the end value of adding a regular amount to a fund with stable interest paid over time
83Series and sequences part 2Time Payments
Objective: To calculate the payments required to pay off a loan
84Series and sequences part 2Applications of arithmetic sequences
Objective: To learn about practical situations with arithmetic series
85ProbabilityThe Binomial Theorem and Binomial Coefficients
Objective: To calculate binomial coefficients and expand binomial powers.
86ProbabilityBinomial probabilities using the Binomial Theorem
Objective: To calculate the binomial probability of a given number of successful trials
87Trigonometry part 1Trigonometric Ratios
Objective: To name the sides of a right-angled triangle and to determine the trig ratios of an angle
88Trigonometry part 1Using the Calculator
Objective: To determine trigonometric ratios using a calculator
89Trigonometry part 1Using the Trigonometric Ratios to find unknown length [Case 1 Sin]
Objective: To use the sine ratio to calculate the opposite side of a right-angled triangle
90Trigonometry part 1Using the Trigonometric Ratios to find unknown length [Case 2 Cosine]
Objective: To use the cosine ratio to calculate the adjacent side of a right-angle triangle
91Trigonometry part 1Using the Trigonometric Ratios to find unknown length [Case 3 Tangent Ratio]
Objective: To use the tangent ratio to calculate the opposite side of a right-angled triangle
92Trigonometry part 1Unknown in the Denominator [Case 4]
Objective: To use trigonometry to find sides of a right-angled triangle and the Unknown in denominator
93Trigonometry part 1Bearings: The Compass
Objective: To change from true bearings to compass bearings and vice versa
94Trigonometry part 1Angles of Elevation and Depression
Objective: To identify and distinguish between angles of depression and elevation
95Trigonometry part 1Trigonometric Ratios in Practical Situations
Objective: To solve problems involving bearings and angles of elevation and depression
96Trigonometry part 1Using the Calculator to Find an Angle Given a Trigonometric Ratio
Objective: To find angles in right-angled triangles given trigonometric ratios
97Trigonometry part 1Using the Trigonometric Ratios to Find an Angle in a Right-Angled Triangle
Objective: To use trigonometric ratios to determine angles in right-angled triangles and in problems
98Trigonometry part 1Trigonometric Ratios of 30, 45 and 60 Degrees: Exact Ratios
Objective: To determine the exact values of sin, cos and tan of 30, 45 and 60 degrees
99Trigonometry part 1The Cosine Rule to find an unknown side [Case 1 SAS]
Objective: To complete the cosine rule to find a subject side for given triangles
100Trigonometry part 1The Sine Rule to find an unknown side: Case 1
Objective: To complete the cosine rule to find a subject angle for given triangles
101Trigonometry part 1The Sine Rule: Finding a Side
Objective: To find an unknown side of a triangle using the sine rule
102Trigonometry part 1The Sine Rule: Finding an Angle
Objective: To find an unknown angle of a triangle using the sine rule
103Trigonometry part 2Reciprocal Ratios
Objective: To find the trigonometric ratios for a given right-angled triangle
104Trigonometry part 2Complementary Angle Results
Objective: To use complementary angle ratios to find an unknown angle given a trigonometric equality
105Trigonometry part 2Trigonometric Identities
Objective: To simplify expressions using trigonometric equalities
106Trigonometry part 2Angles of Any Magnitude
Objective: To assign angles to quadrants and to find trigonometric values for angles
107Trigonometry part 2Trigonometric ratios of 0°, 90°, 180°, 270° and 360°
Objective: To find trigonometric ratios of 0, 90, 180, 270 and 360 degrees
108Trigonometry part 2Graphing the Trigonometric Ratios I: Sine Curve
Objective: To recognise the sine curve and explore shifts of phase and amplitude
109Trigonometry part 2Graphing the Trigonometric Ratios II: Cosine Curve
Objective: To recognise the cosine curve and explore shifts of phase and amplitude
110Trigonometry part 2Graphing the Trigonometric Ratios III: Tangent Curve
Objective: To recognise the tangent curve and explore shifts of phase and amplitude
111Trigonometry part 2Graphing the Trigonometric Ratios IV: Reciprocal Ratios
Objective: To graph the primary trigonometric functions and their inverses
112Trigonometry part 2Using One Trig. Ratio to Find Another
Objective: To derive trig ratios complement from one given trig ratio + some other quadrant identifier.
113ExamExam – Grade 11 – Functions
Objective: Exam
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Grade 11 - Functions and Applications Mathematics

#TOPICTITLE
1Study PlanStudy plan – Grade 11 – Functions and Applications
Objective: On completion of the course formative assessment a tailored study plan is created identifying the lessons requiring revision.
2Algebra – Products and factorsSquaring a Binomial (monic)
Objective: To expand the square of a binomial by multiplication and by inspection
3Algebra – Products and factorsSquaring a Binomial (nonmonic)
Objective: To expand the square of a nonmonic binomial by inspection
4Algebra – Products and factorsExpansions Leading to the Difference of Two Squares
Objective: To expand the product of conjugate binomials leading to differences of squares
5Algebra – Products and factorsProducts in Simplification of Algebraic Expressions
Objective: To simplify algebraic expressions containing binomial products
6Algebra – Products and factorsLarger Expansions
Objective: To expand and simplify the product of a binomial and a trinomial
7Algebra – Products and factorsHighest Common Factor
Objective: To factorise an expression by identifying and extracting the highest common factor
8Algebra – Products and factorsFactors by Grouping
Objective: To factorise a four-term expression by grouping
9Algebra – Products and factorsDifference of Two Squares
Objective: To factorise differences of two squares
10Algebra – Products and factorsCommon factor and the difference of two squares
Objective: On completion of the lesson the student will be aware of common factors and recognize the difference of two squares.
11Algebra – Products and factorsQuadratic Trinomials (monic): Case 1
Objective: On completion of the lesson the student will understand the factorization of quadratic trinomial equations with all terms positive.
12Algebra – Products and factorsQuadratic 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.
13Algebra – Products and factorsQuadratic Trinomials (monic): Case 3
Objective: On completion of the lesson the student will have an increased knowledge on factorizing quadratic trinomials and will understand where the 2nd term is positive and the 3rd term is negative.
14Algebra – Products and factorsQuadratic Trinomials (monic): Case 4
Objective: On completion of the lesson the student will understand how to factorize all of the possible types of monic quadratic trinomials and specifcally where the 2nd term and 3rd terms are negative.
15Algebra – Products and factorsFactorisation of nonmonic quadratic trinomials
Objective: To factorise nonmonic quadratic trinomials using the ‘X’ method
16Algebra – Products and factorsFactorisation of nonmonic quadratic trinomials: Moon method
Objective: To factorise nonmonic quadratic trinomials using the ‘Moon’ method
17Graphs part 1The parabola: to describe properties of a parabola from its equation
Objective: To describe properties of a parabola from its equation and sketch the parabola
18Graphs part 1Quadratic Polynomials of the form y = ax^2 + bx + c
Objective: To describe and sketch parabolas of the form y = x^2 + bx + c
19Graphs part 1Graphing perfect squares: y=(a-x) squared
Objective: To describe and sketch parabolas of the form y = (x – a)^2
20Graphs part 1Graphing irrational roots
Objective: To determine the vertex (using -b/2a), and other derived properties, to sketch a parabola
21Graphs part 1Solving Simultaneous Equations graphically
Objective: To solve simultaneous equations graphically
22Algebra – Quadratic equationsIntroduction to Quadratic Equations
Objective: To find the solutions of quadratic equations presented as a product of factors
23Algebra – Quadratic equationsSolving Quadratic Equations with Factorisation
Objective: To solve quadratic equations requiring factorisation
24Algebra – Quadratic equationsSolving Quadratic Equations
Objective: To solve quadratic equations that need to be changed into the form ax^2 + bx + c = 0
25Algebra – Quadratic equationsCompleting the square
Objective: To complete an incomplete square
26Algebra – Quadratic equationsSolving Quadratic Equations by Completing the Square
Objective: To solve quadratic equations by completing the square
27Algebra – Quadratic equationsThe Quadratic Formula
Objective: To find the roots of a quadratic equation by using the quadratic formula
28Algebra – Quadratic equationsProblem solving with quadratic equations
Objective: To solve problems which require finding the roots of a quadratic equation
29Algebra – Quadratic equationsSolving Simultaneous Quadratic Equations Graphically
Objective: To determine points of intersection of quadratic and linear equations
30Uniform motionThe Speed Formula
Objective: To calculate speed, distance or time using speed = distance/time
31Uniform motionUsing Subscripted Variables
Objective: To use subscripted variables to solve motion problems
32Uniform motionUniform Motion With Equal Distances
Objective: To solve motion problems where distances are equal
33Uniform motionUniform Motion Adding the Distances
Objective: To solve motion problems where total distance travelled is given
34Uniform motionUniform Motion With Unequal Distances or Time
Objective: To solve motion problems where either distance or time are different
35Uniform motionUniform Motion Problems Where the Rate is Constant
Objective: To solve miscellaneous motion problems where the rate is constant
36Uniform motionVertical Motion under gravity: Object Dropped from Rest
Objective: To calculate velocity, time and distance for vertically falling objects dropped from rest
37Uniform motionVertical Motion under gravity: Initial Velocity not Zero
Objective: To calculate velocity, time and distance for vertical motion with initial velocity not zero
38Indices/ExponentsAdding indices when multiplying terms with the same base
Objective: To add indices when multiplying powers that have the same base
39Indices/ExponentsSubtracting indices when dividing terms with the same base
Objective: To subtract indices when dividing powers of the same base
40Indices/ExponentsMultiplying indices when raising a power to a power
Objective: To multiply indices when raising a power to a power
41Indices/ExponentsMultiplying indices when raising to more than one term
Objective: To raise power products to a power
42Indices/ExponentsTerms raised to the power of zero
Objective: To evaluate expressions where quantities are raised to the power 0
43Indices/ExponentsNegative Indices
Objective: To evaluate or simplify expressions containing negative indices
44Indices/ExponentsFractional Indices
Objective: To evaluate or simplify expressions containing fractional indices
45Indices/ExponentsComplex fractions as indices
Objective: To evaluate or simplify expressions containing complex fractional indices and radicals
46Algebra – BasicSimplifying easy algebraic fractions
Objective: To simplify simple algebraic fractions using cancellation of common factors
47Algebra – BasicSimplifying algebraic fractions using the Index Laws
Objective: To use the index laws for division to simplify algebraic fractions
48Algebra – BasicAlgebraic fractions resulting in negative Indices
Objective: To simplify algebraic fractions using negative indices (as required) in the answer
49Algebra – BasicFactorisation of algebraic fractions including binomials
Objective: To simplify algebraic fractions requiring the factorisation of binomial expressions
50Algebra – BasicCancelling binomial factors in algebraic fractions
Objective: To simplify algebraic fractions with binomials in both the numerator and denominator
51Graphs part 2Graphing complex polynomials: quadratics with no real roots
Objective: To graph quadratics that have no real roots, hence don’t cut the x-axis
52Graphs part 2General equation of a circle: determine and graph the equation
Objective: To determine and graph the equation of a circle with radius a and centre (h,k)
53Graphs part 2Graphing cubic curves
Objective: To graph cubic curves whose equation is of the form y = (x – a)^3 + b or y = (a – x)^3 + b
54Graphs part 2Absolute Value Equations
Objective: To graph equations involving absolute values
55Graphs part 2The Rectangular Hyperbola
Objective: To graph rectangular hyperbolae whose equations are of the form xy = a and y = a/x
56Graphs part 2The Exponential Function
Objective: To graph exponential curves whose exponents are either positive or negative
57Graphs part 2Logarithmic Functions
Objective: To graph and describe log curves whose equations are of the form y = log (ax + b)
58Conic sectionsIntroduction to Conic Sections and Their General Equation
Objective: To identify the conic from its equation by examining the coefficients of x^2 and y^2
59Conic sectionsThe Parabola
Objective: To examine the properties of parabolas of the forms x^2 = 4py and y^2 = 4px
60Conic sectionsCircles
Objective: To graph circles of the form x^2 + y^2 = r^2 and to form the equation of the given circles
61Conic sectionsThe Ellipsis
Objective: To identify ellipses of the form x^2/a^2 + y^2/b^2 = 1 and to find the equation of ellipses
62Conic sectionsThe Hyperbola
Objective: To find the equation of a hyperbola and to derive properties (e.g. vertex) from its equation
63FunctionFunctions and Relations: domain and range
Objective: To identify and represent functions and relations
64FunctionFunction Notation
Objective: To write and evaluate functions using function notation
65FunctionSelecting Appropriate Domain and Range
Objective: To determine appropriate domains for functions
66FunctionDomain and Range from Graphical Representations
Objective: To determine the range of a function from its graphical representation
67FunctionEvaluating and Graphing Piecewise Functions
Objective: To evaluate and graph piecewise functions
68FunctionCombining Functions
Objective: To determine the resultant function after functions have been combined by plus, minus, times and divide
69FunctionSimplifying Composite Functions
Objective: To simplify, evaluate and determine the domain of composite functions
70FunctionInverse Functions
Objective: To find the inverse of a function and determine whether this inverse is itself a function
71FunctionGraphing Rational Functions Part 1
Objective: To determine asymptotes and graph rational functions using intercepts and asymptotes
72FunctionGraphing Rational Functions Part 2
Objective: To determine asymptotes and graph rational functions
73FunctionParametric Equations
Objective: To interchange parametric and Cartesian equations and to identify graphs
74FunctionPolynomial Addition: in Combining and Simplifying Functions
Objective: To evaluate, simplify and graph rational functions
75FunctionParametric Functions
Objective: To change Cartesian and parametric equations and to graph parametric functions
76LogarithmsPowers of 2
Objective: To convert between logarithm statements and indice statements
77LogarithmsEquations of type log x to the base 3 = 4
Objective: To find the value of x in a statement of type log x to the base 3 = 4
78LogarithmsEquations of type log 32 to the base x = 5
Objective: To solve Logrithmic Equation where the variable is the base x = 5
79Series and sequences part 2Compound Interest
Objective: To calculate the compound interest of an investment using A=P(1+r/100)^n
80Series and sequences part 2Superannuation
Objective: To calculate the end value of adding a regular amount to a fund with stable interest paid over time
81Series and sequences part 2Time Payments
Objective: To calculate the payments required to pay off a loan
82Trigonometry part 1Using the Trigonometric Ratios to find unknown length [Case 1 Sin]
Objective: To use the sine ratio to calculate the opposite side of a right-angled triangle
83Trigonometry part 1Using the Trigonometric Ratios to find unknown length [Case 2 Cosine]
Objective: To use the cosine ratio to calculate the adjacent side of a right-angle triangle
84Trigonometry part 1Using the Trigonometric Ratios to find unknown length [Case 3 Tangent Ratio]
Objective: To use the tangent ratio to calculate the opposite side of a right-angled triangle
85Trigonometry part 1Unknown in the Denominator [Case 4]
Objective: To use trigonometry to find sides of a right-angled triangle and the Unknown in denominator
86Trigonometry part 1Bearings: The Compass
Objective: To change from true bearings to compass bearings and vice versa
87Trigonometry part 1Angles of Elevation and Depression
Objective: To identify and distinguish between angles of depression and elevation
88Trigonometry part 1Trigonometric Ratios in Practical Situations
Objective: To solve problems involving bearings and angles of elevation and depression
89Trigonometry part 1Using the Calculator to Find an Angle Given a Trigonometric Ratio
Objective: To find angles in right-angled triangles given trigonometric ratios
90Trigonometry part 1Using the Trigonometric Ratios to Find an Angle in a Right-Angled Triangle
Objective: To use trigonometric ratios to determine angles in right-angled triangles and in problems
91Trigonometry part 1Trigonometric Ratios of 30, 45 and 60 Degrees: Exact Ratios
Objective: To determine the exact values of sin, cos and tan of 30, 45 and 60 degrees
92Trigonometry part 1The Cosine Rule to find an unknown side [Case 1 SAS]
Objective: To complete the cosine rule to find a subject side for given triangles
93Trigonometry part 1The Sine Rule to find an unknown side: Case 1
Objective: To complete the cosine rule to find a subject angle for given triangles
94Trigonometry part 1The Sine Rule: Finding a Side
Objective: To find an unknown side of a triangle using the sine rule
95Trigonometry part 1The Sine Rule: Finding an Angle
Objective: To find an unknown angle of a triangle using the sine rule
96Trigonometry part 2Graphing the Trigonometric Ratios I: Sine Curve
Objective: To recognise the sine curve and explore shifts of phase and amplitude
97ExamExam – Grade 11 – Functions and Applications
Objective: Exam
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Grade 11 - Foundation for College Mathematics Mathematics

#TOPICTITLE
1Study PlanStudy plan – Grade 11 – Foundation for College Mathematics
Objective: On completion of the course formative assessment a tailored study plan is created identifying the lessons requiring revision.
2Algebra – Products and factorsLarger Expansions
Objective: To expand and simplify the product of a binomial and a trinomial
3Algebra – Products and factorsHighest Common Factor
Objective: To factorise an expression by identifying and extracting the highest common factor
4Algebra – Products and factorsFactors by Grouping
Objective: To factorise a four-term expression by grouping
5Algebra – Products and factorsDifference of Two Squares
Objective: To factorise differences of two squares
6Algebra – Products and factorsCommon factor and the difference of two squares
Objective: On completion of the lesson the student will be aware of common factors and recognize the difference of two squares.
7Algebra – Products and factorsQuadratic Trinomials (monic): Case 1
Objective: On completion of the lesson the student will understand the factorization of quadratic trinomial equations with all terms positive.
8Algebra – Products and factorsQuadratic 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.
9Algebra – Products and factorsQuadratic Trinomials (monic): Case 3
Objective: On completion of the lesson the student will have an increased knowledge on factorizing quadratic trinomials and will understand where the 2nd term is positive and the 3rd term is negative.
10Algebra – Products and factorsQuadratic Trinomials (monic): Case 4
Objective: On completion of the lesson the student will understand how to factorize all of the possible types of monic quadratic trinomials and specifcally where the 2nd term and 3rd terms are negative.
11Algebra – Products and factorsFactorisation of nonmonic quadratic trinomials
Objective: To factorise nonmonic quadratic trinomials using the ‘X’ method
12Algebra – Products and factorsFactorisation of nonmonic quadratic trinomials: Moon method
Objective: To factorise nonmonic quadratic trinomials using the ‘Moon’ method
13Algebra – Products and factorsSum and Difference of Two Cubes
Objective: To factorise the sum and difference of two cubes
14Algebra – Products and factorsSimplifying algebraic fractions
Objective: To simplify algebraic fractions by factorisation and cancellation
15Graphs part 1The parabola: to describe properties of a parabola from its equation
Objective: To describe properties of a parabola from its equation and sketch the parabola
16Graphs part 1Quadratic Polynomials of the form y = ax^2 + bx + c
Objective: To describe and sketch parabolas of the form y = x^2 + bx + c
17Graphs part 1Graphing perfect squares: y=(a-x) squared
Objective: To describe and sketch parabolas of the form y = (x – a)^2
18Graphs part 1Graphing irrational roots
Objective: To determine the vertex (using -b/2a), and other derived properties, to sketch a parabola
19Graphs part 1Solving Simultaneous Equations graphically
Objective: To solve simultaneous equations graphically
20Algebra – Quadratic equationsIntroduction to Quadratic Equations
Objective: To find the solutions of quadratic equations presented as a product of factors
21Algebra – Quadratic equationsSolving Quadratic Equations with Factorisation
Objective: To solve quadratic equations requiring factorisation
22Algebra – Quadratic equationsSolving Quadratic Equations
Objective: To solve quadratic equations that need to be changed into the form ax^2 + bx + c = 0
23Algebra – Quadratic equationsCompleting the square
Objective: To complete an incomplete square
24Algebra – Quadratic equationsSolving Quadratic Equations by Completing the Square
Objective: To solve quadratic equations by completing the square
25Algebra – Quadratic equationsThe Quadratic Formula
Objective: To find the roots of a quadratic equation by using the quadratic formula
26Algebra – Quadratic equationsProblem solving with quadratic equations
Objective: To solve problems which require finding the roots of a quadratic equation
27Algebra – Quadratic equationsSolving Simultaneous Quadratic Equations Graphically
Objective: To determine points of intersection of quadratic and linear equations
28Graphs part 2Graphing complex polynomials: quadratics with no real roots
Objective: To graph quadratics that have no real roots, hence don’t cut the x-axis
29Uniform motionThe Speed Formula
Objective: To calculate speed, distance or time using speed = distance/time
30Uniform motionUsing Subscripted Variables
Objective: To use subscripted variables to solve motion problems
31Uniform motionUniform Motion With Equal Distances
Objective: To solve motion problems where distances are equal
32Uniform motionUniform Motion Adding the Distances
Objective: To solve motion problems where total distance travelled is given
33Uniform motionUniform Motion With Unequal Distances or Time
Objective: To solve motion problems where either distance or time are different
34Uniform motionUniform Motion Problems Where the Rate is Constant
Objective: To solve miscellaneous motion problems where the rate is constant
35Uniform motionVertical Motion under gravity: Object Dropped from Rest
Objective: To calculate velocity, time and distance for vertically falling objects dropped from rest
36Uniform motionVertical Motion under gravity: Initial Velocity not Zero
Objective: To calculate velocity, time and distance for vertical motion with initial velocity not zero
37Indices/ExponentsAdding indices when multiplying terms with the same base
Objective: To add indices when multiplying powers that have the same base
38Indices/ExponentsSubtracting indices when dividing terms with the same base
Objective: To subtract indices when dividing powers of the same base
39Indices/ExponentsMultiplying indices when raising a power to a power
Objective: To multiply indices when raising a power to a power
40Indices/ExponentsMultiplying indices when raising to more than one term
Objective: To raise power products to a power
41Indices/ExponentsTerms raised to the power of zero
Objective: To evaluate expressions where quantities are raised to the power 0
42Indices/ExponentsNegative Indices
Objective: To evaluate or simplify expressions containing negative indices
43Indices/ExponentsFractional Indices
Objective: To evaluate or simplify expressions containing fractional indices
44Indices/ExponentsComplex fractions as indices
Objective: To evaluate or simplify expressions containing complex fractional indices and radicals
45LogarithmsPowers of 2
Objective: To convert between logarithm statements and indice statements
46Graphs part 2The Exponential Function
Objective: To graph exponential curves whose exponents are either positive or negative
47Series and sequences part 1The Geometric Progression
Objective: To find the common ratio of a given geometric progression
48Series and sequences part 1Finding the position of a term in a G.P.
Objective: To find the place of a term in a given geometric progression
49Series and sequences part 1Given two terms of G.P. find the sequence
Objective: To find the first term given two terms of a geometric progression
50Series and sequences part 2Geometric Means
Objective: To find geometric means of a and b and insert geometric means between 2 endpoints
51Series and sequences part 2The sum to n terms of a G.P.
Objective: To find the sum of n terms of a sequence
52Series and sequences part 2Sigma notation
Objective: To evaluate progressions using sigma notation
53Series and sequences part 2Limiting Sum or Sum to Infinity
Objective: To find the limiting sum of a sequence
54Series and sequences part 2Recurring Decimals and the Infinite G.P.
Objective: To express recurring decimals as a G.P. and to express the limiting sum as a fraction
55Series and sequences part 2Compound Interest
Objective: To calculate the compound interest of an investment using A=P(1+r/100)^n
56Series and sequences part 2Superannuation
Objective: To calculate the end value of adding a regular amount to a fund with stable interest paid over time
57Series and sequences part 2Time Payments
Objective: To calculate the payments required to pay off a loan
58SpaceRecognise nets for prisms, pyramids, cubes and cones
Objective: To match a net with a solid and determine whether a given net forms a solid
59SpaceViewing 3-D Shapes
Objective: To recognise what a solid looks like when viewed from a given direction
60Measurement – Advanced areaArea of a Circle
Objective: To calculate the area of circles and sectors and to solve circle problems
61Measurement – Advanced areaArea of Regular Polygons and Composite Figures
Objective: To calculate area of composite figures and solve problems using correct formulae
62Measurement – Advanced volumeFinding the volume of prisms
Objective: To calculate the volume of prisms using V=Ah and solve volume problems
63Measurement – Advanced volumeVolume of a Cylinder and Sphere
Objective: To solve problems and calculate volumes of cylinders and spheres and parts of each
64Measurement – Advanced volumeVolume of Pyramids and Cones
Objective: To calculate the volumes of pyramids and cones
65Measurement – Advanced volumeComposite Solids
Objective: To calculate the volume of composite figures using appropriate formulae
66Trigonometry part 1Angles of Elevation and Depression
Objective: To identify and distinguish between angles of depression and elevation
67Trigonometry part 1Trigonometric Ratios in Practical Situations
Objective: To solve problems involving bearings and angles of elevation and depression
68Trigonometry part 1The Cosine Rule to find an unknown side [Case 1 SAS]
Objective: To complete the cosine rule to find a subject side for given triangles
69Trigonometry part 1The Sine Rule to find an unknown side: Case 1
Objective: To complete the cosine rule to find a subject angle for given triangles
70Trigonometry part 1The Sine Rule: Finding a Side
Objective: To find an unknown side of a triangle using the sine rule
71Trigonometry part 1The Sine Rule: Finding an Angle
Objective: To find an unknown angle of a triangle using the sine rule
72Graphs – BasicColumn Graphs
Objective: To read and interpret column graphs
73Graphs – BasicLine Graphs
Objective: To read and interpret line graphs
74Graphs – BasicPie and Bar Graphs
Objective: To read and interpret pie and bar graphs
75Statistics part 1Frequency distribution table
Objective: To construct a frequency distribution table for raw data and to interpret the table
76Statistics part 1Frequency histograms and polygons
Objective: To construct and interpret frequency histograms and polygons
77Statistics part 1Relative Frequency
Objective: To extend the frequency distribution table to include a relative frequency column
78Statistics part 1The Range
Objective: To determine the range of data in either raw form or in a frequency distribution table
79Statistics part 1The Mode
Objective: To find the mode from raw data and from a frequency distribution table
80Statistics part 1The Mean
Objective: To calculate means from raw data and from a frequency table using an fx column
81Statistics part 1The Median
Objective: To determine the median of a set of raw scores
82Statistics part 1Cumulative Frequency
Objective: To construct cumulative frequency columns, histograms and polygons
83Statistics part 1Calculating the Mean from a Frequency Distribution
Objective: To determine averages (mean, median and mode) from cumulative frequency polygons
84Statistics part 2Calculating mean, mode and median from grouped data
Objective: To identify class centres, get frequency counts and determine mean, mode and median values
85Statistics part 2Using the Calculator for Statistics
Objective: To find a mean, using a data set or a frequency distribution table and calculator.
86Statistics part 2Measures of Spread
Objective: To determine a range and use it in decision making
87Statistics part 2Standard deviation applications
Objective: To find a standard deviation, using a data set or a frequency distribution table and calculator
88Statistics part 2Applications of Standard Deviation
Objective: To use standard deviation as a measure of deviation from a mean
89Statistics part 2The Normal Distribution
Objective: To use the standard deviation of a normal distribution to find a percentage of scores within ranges
90Statistics part 2Measures of Spread: the interquartile range
Objective: To find the upper and lower quartiles and the interquartile range
91Statistics part 1Stem and Leaf Plots along with Box and Whisker Plots
Objective: To derive statistics from data represented as stem & leaf or box & whisker plots
92Statistics part 1The Scatter plot
Objective: To make a valid interpretation of data presented as a scatter plot
93ProbabilitySimple events
Objective: To find the probability of events using sample space and event set (E) and P(E) = n(E)/n(S)
94ProbabilityRolling a pair of dice
Objective: To find the probability of selected events when two dice are rolled
95ProbabilityExperimental probability
Objective: To find the experimental probabilities of an experimental trial
96ProbabilityExperimental probability
Objective: To use tree diagrams to determine sample spaces and compound probabilities
97ExamExam – Grade 11 – Foundation for College Mathematics
Objective: Exam
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Grade 11 - Mathematics for Work and Everyday Life Mathematics

#TOPICTITLE
1Study PlanStudy plan – Grade 11 – Mathematics for Work and Everyday Life
Objective: On completion of the course formative assessment a tailored study plan is created identifying the lessons requiring revision.
2DecimalsUsing decimals – shopping problems
Objective: To read and interpret problems involving money
3PercentagesCalculating Percentages and Fractions of Quantities
Objective: To find percentages and fractions of quantities and solve problems with percentages
4PercentagesOne Quantity as a Percentage of Another
Objective: To determine what one quantity is as a percentage of another
5Series and sequences part 2Compound Interest
Objective: To calculate the compound interest of an investment using A=P(1+r/100)^n
6Measurement – LengthRead and calculate distances on a map using the formal unit kilometre
Objective: To read distances (km) from a map and calculate total distances between locations
7Geometry transformationsGeometry Transformations without Matrices: Mixed and Combined Transformations
Objective: To identify images produced by a given sequence of transformations
8ExamExam – Grade 11 – Mathematics for Work and Everyday Life
Objective: Exam
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Grade 12 - Advanced Functions Mathematics

#TOPICTITLE
1Study PlanStudy plan – Grade 12 – Advanced Functions
Objective: On completion of the course formative assessment a tailored study plan is created identifying the lessons requiring revision.
2Indices/ExponentsAdding indices when multiplying terms with the same base
Objective: To add indices when multiplying powers that have the same base
3Indices/ExponentsSubtracting indices when dividing terms with the same base
Objective: To subtract indices when dividing powers of the same base
4Indices/ExponentsMultiplying indices when raising a power to a power
Objective: To multiply indices when raising a power to a power
5Indices/ExponentsMultiplying indices when raising to more than one term
Objective: To raise power products to a power
6Indices/ExponentsTerms raised to the power of zero
Objective: To evaluate expressions where quantities are raised to the power 0
7Indices/ExponentsNegative Indices
Objective: To evaluate or simplify expressions containing negative indices
8Indices/ExponentsFractional Indices
Objective: To evaluate or simplify expressions containing fractional indices
9Indices/ExponentsComplex fractions as indices
Objective: To evaluate or simplify expressions containing complex fractional indices and radicals
10LogarithmsPowers of 2
Objective: To convert between logarithm statements and indice statements
11LogarithmsEquations of type log x to the base 3 = 4
Objective: To find the value of x in a statement of type log x to the base 3 = 4
12LogarithmsEquations of type log 32 to the base x = 5
Objective: To solve Logrithmic Equation where the variable is the base x = 5
13LogarithmsLaws of Logarithms
Objective: To review the logarithm laws
14LogarithmsUsing the Log Laws to Expand Logarithmic Expressions
Objective: To expand expressions using the logarithm laws
15LogarithmsUsing the Log Laws to Simplify Expressions Involving Logarithms
Objective: To simplify expressions using the logarithm laws
16LogarithmsUsing the Log Laws to Find the Logarithms of Numbers
Objective: To find the logarithm of a number, with an unknown base, using the logarithm laws
17LogarithmsEquations Involving Logarithms
Objective: To solve equations involving logarithms using the logarithm laws
18LogarithmsUsing Logarithms to Solve Equations
Objective: To use logarithms to solve exponential equations
19LogarithmsChange of Base Formula
Objective: To evaluate log expressions using logarithms
20LogarithmsThe Graph of the Logarithmic Curve
Objective: To learn the properties of the logarithmic curve
21LogarithmsThe Graph of the Logarithmic Curve
Objective: To solve problems involving logarithmic curves
22Graphs part 2The Exponential Function
Objective: To graph exponential curves whose exponents are either positive or negative
23Graphs part 2Logarithmic Functions
Objective: To graph and describe log curves whose equations are of the form y = log (ax + b)
24Trigonometry part 1Angles of Elevation and Depression
Objective: To identify and distinguish between angles of depression and elevation
25Trigonometry part 1Trigonometric Ratios in Practical Situations
Objective: To solve problems involving bearings and angles of elevation and depression
26Trigonometry part 1Using the Calculator to Find an Angle Given a Trigonometric Ratio
Objective: To find angles in right-angled triangles given trigonometric ratios
27Trigonometry part 1Using the Trigonometric Ratios to Find an Angle in a Right-Angled Triangle
Objective: To use trigonometric ratios to determine angles in right-angled triangles and in problems
28Trigonometry part 1Trigonometric Ratios of 30, 45 and 60 Degrees: Exact Ratios
Objective: To determine the exact values of sin, cos and tan of 30, 45 and 60 degrees
29Trigonometry part 2Reciprocal Ratios
Objective: To find the trigonometric ratios for a given right-angled triangle
30Trigonometry part 2Complementary Angle Results
Objective: To use complementary angle ratios to find an unknown angle given a trigonometric equality
31Trigonometry part 2Trigonometric Identities
Objective: To simplify expressions using trigonometric equalities
32Trigonometry part 2Angles of Any Magnitude
Objective: To assign angles to quadrants and to find trigonometric values for angles
33Trigonometry part 2Trigonometric ratios of 0°, 90°, 180°, 270° and 360°
Objective: To find trigonometric ratios of 0, 90, 180, 270 and 360 degrees
34Trigonometry part 2Graphing the Trigonometric Ratios I: Sine Curve
Objective: To recognise the sine curve and explore shifts of phase and amplitude
35Trigonometry part 2Graphing the Trigonometric Ratios II: Cosine Curve
Objective: To recognise the cosine curve and explore shifts of phase and amplitude
36Trigonometry part 2Graphing the Trigonometric Ratios III: Tangent Curve
Objective: To recognise the tangent curve and explore shifts of phase and amplitude
37Trigonometry part 2Graphing the Trigonometric Ratios IV: Reciprocal Ratios
Objective: To graph the primary trigonometric functions and their inverses
38Trigonometry part 2Using One Trig. Ratio to Find Another
Objective: To derive trig ratios complement from one given trig ratio + some other quadrant identifier.
39Trigonometry part 2Solving Trigonometric Equations – Type I
Objective: To Solve trigonometric equations for angles from 0 to 360 degrees.
40Trigonometry part 2Solving Trigonometric Equations – Type II
Objective: To solve trigonometric equations for angles from 0 to 360 degrees.
41Trigonometry part 2Solving Trigonometric Equations – Type III
Objective: To solve trigonometric equations using tan? = sin?/cos?.
42Trigonometry part 2Trigonometric Sum and Difference Identities
Objective: To evaluate trig functions of angles using sum and difference identities
43Trigonometry part 2Double Angle Identities
Objective: To use double angle identities to evaluate trig. functions and solve trig equations
44Trigonometry part 2Half-angle Identities
Objective: To evaluate trig. functions of angles using half-angle identities
45PolynomialsIntroduction to polynomials
Objective: To define polynomials by degree, leading term, leading coefficient, constant term and monic
46PolynomialsThe Sum, Difference and Product of Two Polynomials
Objective: To add, subtract and multiply polynomials
47PolynomialsPolynomials and Long Division
Objective: To perform long division of polynomials, finding quotient and remainder
48PolynomialsThe Remainder Theorem
Objective: To determine a remainder when a first polynomial is divided by a second
49PolynomialsMore on Remainder Theorem
Objective: To determine polynomial coefficients given a divisor and remainder
50PolynomialsThe factor theorem
Objective: To use the factor theorem to show that (x-a) is a factor of P(x)
51PolynomialsMore on the factor theorem
Objective: To use the factor theorem to find algebraic variables in polynomials
52PolynomialsComplete factorisations using the factor theorem
Objective: To use the factor theorem to derive factors of a polynomial
53PolynomialsPolynomial equations
Objective: To practise solving polynomial equations
54PolynomialsGraphs of polynomials
Objective: To derive graphs of polynomials by factorising
55Graphs part 2The Rectangular Hyperbola
Objective: To graph rectangular hyperbolae whose equations are of the form xy = a and y = a/x
56FunctionFunctions and Relations: domain and range
Objective: To identify and represent functions and relations
57FunctionFunction Notation
Objective: To write and evaluate functions using function notation
58FunctionSelecting Appropriate Domain and Range
Objective: To determine appropriate domains for functions
59FunctionDomain and Range from Graphical Representations
Objective: To determine the range of a function from its graphical representation
60FunctionEvaluating and Graphing Piecewise Functions
Objective: To evaluate and graph piecewise functions
61FunctionCombining Functions
Objective: To determine the resultant function after functions have been combined by plus, minus, times and divide
62FunctionSimplifying Composite Functions
Objective: To simplify, evaluate and determine the domain of composite functions
63FunctionInverse Functions
Objective: To find the inverse of a function and determine whether this inverse is itself a function
64FunctionGraphing Rational Functions Part 1
Objective: To determine asymptotes and graph rational functions using intercepts and asymptotes
65FunctionGraphing Rational Functions Part 2
Objective: To determine asymptotes and graph rational functions
66FunctionParametric Equations
Objective: To interchange parametric and Cartesian equations and to identify graphs
67FunctionPolynomial Addition: in Combining and Simplifying Functions
Objective: To evaluate, simplify and graph rational functions
68Uniform motionThe Speed Formula
Objective: To calculate speed, distance or time using speed = distance/time
69Uniform motionUsing Subscripted Variables
Objective: To use subscripted variables to solve motion problems
70Uniform motionUniform Motion With Equal Distances
Objective: To solve motion problems where distances are equal
71Uniform motionUniform Motion Adding the Distances
Objective: To solve motion problems where total distance travelled is given
72Uniform motionUniform Motion With Unequal Distances or Time
Objective: To solve motion problems where either distance or time are different
73Uniform motionUniform Motion Problems Where the Rate is Constant
Objective: To solve miscellaneous motion problems where the rate is constant
74Uniform motionVertical Motion under gravity: Object Dropped from Rest
Objective: To calculate velocity, time and distance for vertically falling objects dropped from rest
75Uniform motionVertical Motion under gravity: Initial Velocity not Zero
Objective: To calculate velocity, time and distance for vertical motion with initial velocity not zero
76ExamExam – Grade 12 – Advanced Functions
Objective: Exam
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Grade 12 - Calculus and Vectors Mathematics

#TOPICTITLE
1Study PlanStudy plan – Grade 12 – Calculus and Vectors
Objective: On completion of the course formative assessment a tailored study plan is created identifying the lessons requiring revision.
2Co-ordinate geometry part 2Two Point Formula: equation of a line which joins a pair of points
Objective: To find the equation of the line which joins a pair of points
3Co-ordinate geometry part 2Intercept form of a straight line: find the equation when given x and y
Objective: To find the equation of a line given the x-axis and y-axis intercepts
4Co-ordinate geometry part 2Parallel Lines: identify equation of a line parallel to another
Objective: To change the standard form of a straight line equation to the y = mx + b form
5Co-ordinate geometry part 2Perpendicular Lines
Objective: To identify the equation of a line that is perpendicular to a given linear equation
6Co-ordinate geometry part 2Inequalities on the Number Plane
Objective: To identify the graph which matches a given inequality
7Co-ordinate geometry part 2Perpendicular Distance
Objective: To calculate the perpendicular distance from a point to a line and between lines
8Co-ordinate geometry part 2Line through the intersection of two given lines
Objective: To determine the equation of a line passing through the intersection of two lines
9Co-ordinate geometry part 2Angles between two lines
Objective: To find the angle between two given straight lines
10Co-ordinate geometry part 2Transformations: Reflections
Objective: To identify reflections and to use isometric properties of reflections
11Geometry transformationsGeometry Transformations without Matrices: Translation
Objective: To find the image of a point or object after a translation
12Geometry transformationsGeometry Transformations without Matrices: Rotation
Objective: To determine rotation angle and to perform prescribed rotations
13Geometry transformationsGeometry Transformations without Matrices: Dilation or Enlargement
Objective: To describe dilations and to calculate lengths and scale factors of dilated figures
14Geometry transformationsGeometry Transformations without Matrices: Mixed and Combined Transformations
Objective: To identify images produced by a given sequence of transformations
15Graphs part 2The Exponential Function
Objective: To graph exponential curves whose exponents are either positive or negative
16Calculus part 1Limits
Objective: To find the limit value of a function as x approaches n
17Calculus part 1Differentiation from First Principles
Objective: To differentiate functions from first principles
18Calculus part 1Differentiation of y = x to the power of n
Objective: To differentiate algebraic functions using the laws of differentiation
19Calculus part 1Meaning of dy over dx – Equations of Tangents and Normals
Objective: To find and use the slope of tangents and normals
20Calculus part 1Function of a Function Rule, Product Rule, Quotient Rule.
Objective: To differentiate functions using the product, quotient and chain rules.
21Calculus part 1Increasing, Decreasing and Stationary Functions.
Objective: To determine values of x for which f(x) is increasing, decreasing or stationary.
22Calculus part 1The Second Derivative – Concavity.
Objective: To determine concavity of a curve at a point using the second derivative.
23Calculus part 1Classification of Stationary Points.
Objective: To Locate and describe stationary points and points of inflection using differention.
24Calculus part 2Curve Sketching.
Objective: To practice curve sketching of polynomials using calculus techniques.
25Calculus part 2Practical Applications of Maxima and Minima.
Objective: To use maxima and minima to solve practical problems.
26Polar coordinatesPolar Coordinates – Plotting and Converting
Objective: To plot polar points and convert polar coordinates to rectangular coordinates
27Polar coordinatesConverting Rectangular Coordinates to Polar Form
Objective: To convert rectangular to polar coordinates
28MatricesVectors
Objective: To use vectors to find resultant speeds and displacements
29Matrices – Linear systemsNumber of Solutions
Objective: To determine solutions to systems of equations
30Matrices – Linear systemsVector Addition in 2 and 3D
Objective: To represent, add, subtract and determine the direction of vectors
31Matrices – Linear systemsOptimal Solutions
Objective: To use linear programming to maximise or minimise an objective function
32FunctionFunctions and Relations: domain and range
Objective: To identify and represent functions and relations
33FunctionFunction Notation
Objective: To write and evaluate functions using function notation
34FunctionSelecting Appropriate Domain and Range
Objective: To determine appropriate domains for functions
35FunctionDomain and Range from Graphical Representations
Objective: To determine the range of a function from its graphical representation
36FunctionEvaluating and Graphing Piecewise Functions
Objective: To evaluate and graph piecewise functions
37FunctionCombining Functions
Objective: To determine the resultant function after functions have been combined by plus, minus, times and divide
38FunctionSimplifying Composite Functions
Objective: To simplify, evaluate and determine the domain of composite functions
39FunctionInverse Functions
Objective: To find the inverse of a function and determine whether this inverse is itself a function
40FunctionGraphing Rational Functions Part 1
Objective: To determine asymptotes and graph rational functions using intercepts and asymptotes
41FunctionGraphing Rational Functions Part 2
Objective: To determine asymptotes and graph rational functions
42FunctionParametric Equations
Objective: To interchange parametric and Cartesian equations and to identify graphs
43FunctionPolynomial Addition: in Combining and Simplifying Functions
Objective: To evaluate, simplify and graph rational functions
44FunctionParametric Functions
Objective: To change Cartesian and parametric equations and to graph parametric functions
45ExamExam – Grade 12 – Calculus and Vectors
Objective: Exam
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Grade 12 - Mathematics of Data Management Mathematics

#TOPICTITLE
1Study PlanStudy plan – Grade 12 – Mathematics of Data Management
Objective: On completion of the course formative assessment a tailored study plan is created identifying the lessons requiring revision.
2ProbabilitySimple events
Objective: To find the probability of events using sample space and event set (E) and P(E) = n(E)/n(S)
3ProbabilityRolling a pair of dice
Objective: To find the probability of selected events when two dice are rolled
4ProbabilityExperimental probability
Objective: To find the experimental probabilities of an experimental trial
5ProbabilityExperimental probability
Objective: To use tree diagrams to determine sample spaces and compound probabilities
6ProbabilityTree diagrams: depending on previous outcomes
Objective: To use tree diagrams where the probability is dependent on previous outcomes
7ProbabilityThe Complementary Result
Objective: To calculate the probability of complementary events using P(E) = 1 – P(not E)
8ProbabilityP[A or B] When A and B are NOT mutually exclusive
Objective: To calculate the probability of non exclusive events using P(A or B) = P(A)+P(B)
9Statistics part 1Frequency distribution table
Objective: To construct a frequency distribution table for raw data and to interpret the table
10Statistics part 1Frequency histograms and polygons
Objective: To construct and interpret frequency histograms and polygons
11Statistics part 1Relative Frequency
Objective: To extend the frequency distribution table to include a relative frequency column
12Statistics part 1The Range
Objective: To determine the range of data in either raw form or in a frequency distribution table
13Statistics part 1The Mode
Objective: To find the mode from raw data and from a frequency distribution table
14Statistics part 1The Mean
Objective: To calculate means from raw data and from a frequency table using an fx column
15Statistics part 1The Median
Objective: To determine the median of a set of raw scores
16Statistics part 1Cumulative Frequency
Objective: To construct cumulative frequency columns, histograms and polygons
17Statistics part 1Calculating the Mean from a Frequency Distribution
Objective: To determine averages (mean, median and mode) from cumulative frequency polygons
18Statistics part 2Calculating mean, mode and median from grouped data
Objective: To identify class centres, get frequency counts and determine mean, mode and median values
19Statistics part 2Using the Calculator for Statistics
Objective: To find a mean, using a data set or a frequency distribution table and calculator.
20Statistics part 2Measures of Spread
Objective: To determine a range and use it in decision making
21Statistics part 2Standard deviation applications
Objective: To find a standard deviation, using a data set or a frequency distribution table and calculator
22Statistics part 2Applications of Standard Deviation
Objective: To use standard deviation as a measure of deviation from a mean
23Statistics part 2The Normal Distribution
Objective: To use the standard deviation of a normal distribution to find a percentage of scores within ranges
24Statistics part 2Measures of Spread: the interquartile range
Objective: To find the upper and lower quartiles and the interquartile range
25Statistics part 1Stem and Leaf Plots along with Box and Whisker Plots
Objective: To derive statistics from data represented as stem & leaf or box & whisker plots
26Statistics part 1The Scatter plot
Objective: To make a valid interpretation of data presented as a scatter plot
27ProbabilityThe Binomial Theorem and Binomial Coefficients
Objective: To calculate binomial coefficients and expand binomial powers.
28ProbabilityBinomial probabilities using the Binomial Theorem
Objective: To calculate the binomial probability of a given number of successful trials
29ProbabilityCounting techniques and ordered selections
Objective: To use counting techniques in probability
30ProbabilityUnordered selections – combinations
Objective: To use the nCr formula to solve problems where unordered selections occur
31ExamExam – Grade 12 – Mathematics of Data Management
Objective: Exam
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Grade 12 - Mathematics of College Technology Mathematics

#TOPICTITLE
1Study PlanStudy plan – Grade 12 – Mathematics of College Technology
Objective: On completion of the course formative assessment a tailored study plan is created identifying the lessons requiring revision.
2Indices/ExponentsAdding indices when multiplying terms with the same base
Objective: To add indices when multiplying powers that have the same base
3Indices/ExponentsSubtracting indices when dividing terms with the same base
Objective: To subtract indices when dividing powers of the same base
4Indices/ExponentsMultiplying indices when raising a power to a power
Objective: To multiply indices when raising a power to a power
5Indices/ExponentsMultiplying indices when raising to more than one term
Objective: To raise power products to a power
6Indices/ExponentsTerms raised to the power of zero
Objective: To evaluate expressions where quantities are raised to the power 0
7Indices/ExponentsNegative Indices
Objective: To evaluate or simplify expressions containing negative indices
8Indices/ExponentsFractional Indices
Objective: To evaluate or simplify expressions containing fractional indices
9Indices/ExponentsComplex fractions as indices
Objective: To evaluate or simplify expressions containing complex fractional indices and radicals
10LogarithmsPowers of 2
Objective: To convert between logarithm statements and indice statements
11LogarithmsEquations of type log x to the base 3 = 4
Objective: To find the value of x in a statement of type log x to the base 3 = 4
12LogarithmsEquations of type log 32 to the base x = 5
Objective: To solve Logrithmic Equation where the variable is the base x = 5
13LogarithmsLaws of Logarithms
Objective: To review the logarithm laws
14LogarithmsUsing the Log Laws to Expand Logarithmic Expressions
Objective: To expand expressions using the logarithm laws
15LogarithmsUsing the Log Laws to Simplify Expressions Involving Logarithms
Objective: To simplify expressions using the logarithm laws
16LogarithmsUsing the Log Laws to Find the Logarithms of Numbers
Objective: To find the logarithm of a number, with an unknown base, using the logarithm laws
17LogarithmsEquations Involving Logarithms
Objective: To solve equations involving logarithms using the logarithm laws
18LogarithmsUsing Logarithms to Solve Equations
Objective: To use logarithms to solve exponential equations
19LogarithmsChange of Base Formula
Objective: To evaluate log expressions using logarithms
20LogarithmsThe Graph of the Logarithmic Curve
Objective: To learn the properties of the logarithmic curve
21LogarithmsThe Graph of the Logarithmic Curve
Objective: To solve problems involving logarithmic curves
22Graphs part 2The Exponential Function
Objective: To graph exponential curves whose exponents are either positive or negative
23Graphs part 2Logarithmic Functions
Objective: To graph and describe log curves whose equations are of the form y = log (ax + b)
24PolynomialsIntroduction to polynomials
Objective: To define polynomials by degree, leading term, leading coefficient, constant term and monic
25PolynomialsThe Sum, Difference and Product of Two Polynomials
Objective: To add, subtract and multiply polynomials
26PolynomialsPolynomials and Long Division
Objective: To perform long division of polynomials, finding quotient and remainder
27PolynomialsThe Remainder Theorem
Objective: To determine a remainder when a first polynomial is divided by a second
28PolynomialsMore on Remainder Theorem
Objective: To determine polynomial coefficients given a divisor and remainder
29PolynomialsThe factor theorem
Objective: To use the factor theorem to show that (x-a) is a factor of P(x)
30PolynomialsMore on the factor theorem
Objective: To use the factor theorem to find algebraic variables in polynomials
31PolynomialsComplete factorisations using the factor theorem
Objective: To use the factor theorem to derive factors of a polynomial
32PolynomialsPolynomial equations
Objective: To practise solving polynomial equations
33PolynomialsGraphs of polynomials
Objective: To derive graphs of polynomials by factorising
34Graphs part 2Graphing complex polynomials: quadratics with no real roots
Objective: To graph quadratics that have no real roots, hence don’t cut the x-axis
35Graphs part 2General equation of a circle: determine and graph the equation
Objective: To determine and graph the equation of a circle with radius a and centre (h,k)
36Graphs part 2Graphing cubic curves
Objective: To graph cubic curves whose equation is of the form y = (x – a)^3 + b or y = (a – x)^3 + b
37FunctionFunctions and Relations: domain and range
Objective: To identify and represent functions and relations
38FunctionFunction Notation
Objective: To write and evaluate functions using function notation
39FunctionSelecting Appropriate Domain and Range
Objective: To determine appropriate domains for functions
40FunctionDomain and Range from Graphical Representations
Objective: To determine the range of a function from its graphical representation
41FunctionEvaluating and Graphing Piecewise Functions
Objective: To evaluate and graph piecewise functions
42FunctionCombining Functions
Objective: To determine the resultant function after functions have been combined by plus, minus, times and divide
43FunctionSimplifying Composite Functions
Objective: To simplify, evaluate and determine the domain of composite functions
44FunctionInverse Functions
Objective: To find the inverse of a function and determine whether this inverse is itself a function
45FunctionPolynomial Addition: in Combining and Simplifying Functions
Objective: To evaluate, simplify and graph rational functions
46Trigonometry part 1Using the Trigonometric Ratios to find unknown length [Case 1 Sin]
Objective: To use the sine ratio to calculate the opposite side of a right-angled triangle
47Trigonometry part 1Using the Trigonometric Ratios to find unknown length [Case 2 Cosine]
Objective: To use the cosine ratio to calculate the adjacent side of a right-angle triangle
48Trigonometry part 1Using the Trigonometric Ratios to find unknown length [Case 3 Tangent Ratio]
Objective: To use the tangent ratio to calculate the opposite side of a right-angled triangle
49Trigonometry part 1Unknown in the Denominator [Case 4]
Objective: To use trigonometry to find sides of a right-angled triangle and the Unknown in denominator
50Trigonometry part 1Bearings: The Compass
Objective: To change from true bearings to compass bearings and vice versa
51Trigonometry part 1Angles of Elevation and Depression
Objective: To identify and distinguish between angles of depression and elevation
52Trigonometry part 1Trigonometric Ratios in Practical Situations
Objective: To solve problems involving bearings and angles of elevation and depression
53Trigonometry part 1The Cosine Rule to find an unknown side [Case 1 SAS]
Objective: To complete the cosine rule to find a subject side for given triangles
54Trigonometry part 1The Sine Rule to find an unknown side: Case 1
Objective: To complete the cosine rule to find a subject angle for given triangles
55Trigonometry part 1The Sine Rule: Finding a Side
Objective: To find an unknown side of a triangle using the sine rule
56Trigonometry part 1The Sine Rule: Finding an Angle
Objective: To find an unknown angle of a triangle using the sine rule
57Trigonometry part 2Trigonometric ratios of 0°, 90°, 180°, 270° and 360°
Objective: To find trigonometric ratios of 0, 90, 180, 270 and 360 degrees
58Trigonometry part 2Graphing the Trigonometric Ratios I: Sine Curve
Objective: To recognise the sine curve and explore shifts of phase and amplitude
59Trigonometry part 2Graphing the Trigonometric Ratios II: Cosine Curve
Objective: To recognise the cosine curve and explore shifts of phase and amplitude
60Trigonometry part 2Graphing the Trigonometric Ratios III: Tangent Curve
Objective: To recognise the tangent curve and explore shifts of phase and amplitude
61Trigonometry part 2Graphing the Trigonometric Ratios IV: Reciprocal Ratios
Objective: To graph the primary trigonometric functions and their inverses
62Trigonometry part 2Using One Trig. Ratio to Find Another
Objective: To derive trig ratios complement from one given trig ratio + some other quadrant identifier.
63Trigonometry part 2Solving Trigonometric Equations – Type I
Objective: To Solve trigonometric equations for angles from 0 to 360 degrees.
64Trigonometry part 2Solving Trigonometric Equations – Type II
Objective: To solve trigonometric equations for angles from 0 to 360 degrees.
65Trigonometry part 2Solving Trigonometric Equations – Type III
Objective: To solve trigonometric equations using tan? = sin?/cos?.
66MatricesVectors
Objective: To use vectors to find resultant speeds and displacements
67Matrices – Linear systemsNumber of Solutions
Objective: To determine solutions to systems of equations
68Matrices – Linear systemsVector Addition in 2 and 3D
Objective: To represent, add, subtract and determine the direction of vectors
69Polar coordinatesPolar Coordinates – Plotting and Converting
Objective: To plot polar points and convert polar coordinates to rectangular coordinates
70Polar coordinatesConverting Rectangular Coordinates to Polar Form
Objective: To convert rectangular to polar coordinates
71Polar coordinatesGraphing Polar Functions
Objective: To write the polar coordinates of a point for selected argument ranges
72Measurement – Advanced areaArea of a Trapezium
Objective: To calculate the area of trapezia using A=(h/2)(a+b)
73Measurement – Advanced areaArea of a Rhombus
Objective: To calculate the area of a rhombus using diagonal products
74Measurement – Advanced areaArea of a Circle
Objective: To calculate the area of circles and sectors and to solve circle problems
75Measurement – Advanced areaArea of Regular Polygons and Composite Figures
Objective: To calculate area of composite figures and solve problems using correct formulae
76Measurement – Advanced volumeFinding the volume of prisms
Objective: To calculate the volume of prisms using V=Ah and solve volume problems
77Measurement – Advanced volumeVolume of a Cylinder and Sphere
Objective: To solve problems and calculate volumes of cylinders and spheres and parts of each
78Measurement – Advanced volumeVolume of Pyramids and Cones
Objective: To calculate the volumes of pyramids and cones
79Measurement – Advanced volumeComposite Solids
Objective: To calculate the volume of composite figures using appropriate formulae
80Surface areaSurface Area of a Cube/Rectangular Prism
Objective: To calculate the surface area of cubes and rectangular prisms
81Surface areaSurface Area of a Triangular/Trapezoidal Prism
Objective: To calculate the surface area of triangular and trapezoidal prisms
82Surface areaSurface Area of a Cylinder and Sphere
Objective: To calculate the surface area of cylinders and spheres
83Surface areaSurface Area of Pyramids
Objective: To calculate the surface area of pyramids
84Surface areaSurface Area of Composite Solids
Objective: To calculate the surface area of composite solids
85Surface areaSurface area of composite solids
Objective: On completion of the lesson the student will be able to find the surface areas of Composite solids.
86Geometry part 2Similar Triangles
Objective: To use similarity tests for triangles and determine unknown sides and angles in triangles
87Geometry part 2Using Similar Triangles to Calculate Lengths
Objective: To determine unknown sides and angles of similar triangles
88Geometry part 2Examples involving overlapping triangles
Objective: To determine the lengths of unknown sides in overlapping or adjacent similar triangles
89Geometry part 3The Triangle Inequality Theorem
Objective: To use the triangle inequality theorem to determine constructability of triangles
90Circle geometry part 1Theorem – Equal arcs subtend equal angles at the centre
Objective: To know that equal arcs on circles of equal radii subtend equal angles at the centre
91Circle geometry part 1Theorem – The perpendicular from the centre to a chord bisects the chord
Objective: To know that the perpendicular from the centre of a circle to a chord bisects the chord and to know that the line from the centre of a circle to the mid-point of a chord is perpendicular to the chord
92Circle geometry part 1Theorem – Equal chords in a circle are equidistant from the centre
Objective: To know that equal chords in equal circles are equidistant from the centres
93Circle geometry part 1Theorem – At the point of contact a tangent is perpendicular to the radius
Objective: To know that the tangent to a circle is perpendicular to the radius drawn to it
94Circle geometry part 1Theorem: Tangents to a circle from an external point are equal
Objective: To know that the tangents to a circle from an external point are equal
95ExamExam – Grade 12 – Mathematics of College Technology
Objective: Exam
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Grade 12 - Foundations for College Mathematics Mathematics

#TOPICTITLE
1Study PlanStudy plan – Grade 12 – Foundations for College Mathematics
Objective: On completion of the course formative assessment a tailored study plan is created identifying the lessons requiring revision.
2Indices/ExponentsAdding indices when multiplying terms with the same base
Objective: To add indices when multiplying powers that have the same base
3Indices/ExponentsSubtracting indices when dividing terms with the same base
Objective: To subtract indices when dividing powers of the same base
4Indices/ExponentsMultiplying indices when raising a power to a power
Objective: To multiply indices when raising a power to a power
5Indices/ExponentsMultiplying indices when raising to more than one term
Objective: To raise power products to a power
6Indices/ExponentsTerms raised to the power of zero
Objective: To evaluate expressions where quantities are raised to the power 0
7Indices/ExponentsNegative Indices
Objective: To evaluate or simplify expressions containing negative indices
8Indices/ExponentsFractional Indices
Objective: To evaluate or simplify expressions containing fractional indices
9Indices/ExponentsComplex fractions as indices
Objective: To evaluate or simplify expressions containing complex fractional indices and radicals
10Graphs part 2The Exponential Function
Objective: To graph exponential curves whose exponents are either positive or negative
11Series and sequences part 2Compound Interest
Objective: To calculate the compound interest of an investment using A=P(1+r/100)^n
12Series and sequences part 2Superannuation
Objective: To calculate the end value of adding a regular amount to a fund with stable interest paid over time
13Series and sequences part 2Time Payments
Objective: To calculate the payments required to pay off a loan
14Measurement – CapacityThe relationship between the common units of capacity: the litre and the millilitre
Objective: To convert L to mL and vice versa using 1000 mL = 1 L
15Measurement – CapacityConverting between volume and capacity using kiloliters and liters
Objective: To know the formal units of measurement for volume and capacity for bigger objects
16Measurement – CapacityEstimate, measure and compare the capacity of containers
Objective: To understand estimation and a way to go about it
17Measurement – CapacityConverting between volume and capacity using milliliters and liters
Objective: To solve capacity problems involving mixed dimensional units
18Measurement – MassThe Kilogram
Objective: To recognise which of two (or more) objects has the greater mass
19Measurement – MassThe Gram
Objective: To calculate net mass in grams and solve shopping problems involving mass
20Measurement – Advanced areaArea of a Trapezium
Objective: To calculate the area of trapezia using A=(h/2)(a+b)
21Measurement – Advanced areaArea of a Rhombus
Objective: To calculate the area of a rhombus using diagonal products
22Measurement – Advanced areaArea of a Circle
Objective: To calculate the area of circles and sectors and to solve circle problems
23Measurement – Advanced areaArea of Regular Polygons and Composite Figures
Objective: To calculate area of composite figures and solve problems using correct formulae
24Measurement – Advanced volumeFinding the volume of prisms
Objective: To calculate the volume of prisms using V=Ah and solve volume problems
25Measurement – Advanced volumeComposite Solids
Objective: To calculate the volume of composite figures using appropriate formulae
26Surface areaSurface Area of a Cube/Rectangular Prism
Objective: To calculate the surface area of cubes and rectangular prisms
27Surface areaSurface Area of a Triangular/Trapezoidal Prism
Objective: To calculate the surface area of triangular and trapezoidal prisms
28Surface areaSurface Area of a Cylinder and Sphere
Objective: To calculate the surface area of cylinders and spheres
29Surface areaSurface Area of Pyramids
Objective: To calculate the surface area of pyramids
30Surface areaSurface Area of Composite Solids
Objective: To calculate the surface area of composite solids
31SpaceMeasure and classify angles
Objective: To classify and measure angles and calculate angles in a triangle
32Trigonometry part 1Trigonometric Ratios
Objective: To name the sides of a right-angled triangle and to determine the trig ratios of an angle
33Trigonometry part 1Using the Calculator
Objective: To determine trigonometric ratios using a calculator
34Trigonometry part 1Using the Trigonometric Ratios to find unknown length [Case 1 Sin]
Objective: To use the sine ratio to calculate the opposite side of a right-angled triangle
35Trigonometry part 1Using the Trigonometric Ratios to find unknown length [Case 2 Cosine]
Objective: To use the cosine ratio to calculate the adjacent side of a right-angle triangle
36Trigonometry part 1Using the Trigonometric Ratios to find unknown length [Case 3 Tangent Ratio]
Objective: To use the tangent ratio to calculate the opposite side of a right-angled triangle
37Trigonometry part 1Unknown in the Denominator [Case 4]
Objective: To use trigonometry to find sides of a right-angled triangle and the Unknown in denominator
38Trigonometry part 1Bearings: The Compass
Objective: To change from true bearings to compass bearings and vice versa
39Trigonometry part 1Angles of Elevation and Depression
Objective: To identify and distinguish between angles of depression and elevation
40Trigonometry part 1Trigonometric Ratios in Practical Situations
Objective: To solve problems involving bearings and angles of elevation and depression
41Trigonometry part 1The Cosine Rule to find an unknown side [Case 1 SAS]
Objective: To complete the cosine rule to find a subject side for given triangles
42Trigonometry part 1The Sine Rule to find an unknown side: Case 1
Objective: To complete the cosine rule to find a subject angle for given triangles
43Trigonometry part 1The Sine Rule: Finding a Side
Objective: To find an unknown side of a triangle using the sine rule
44Trigonometry part 1The Sine Rule: Finding an Angle
Objective: To find an unknown angle of a triangle using the sine rule
45Trigonometry part 2Angles of Any Magnitude
Objective: To assign angles to quadrants and to find trigonometric values for angles
46Trigonometry part 2Trigonometric ratios of 0°, 90°, 180°, 270° and 360°
Objective: To find trigonometric ratios of 0, 90, 180, 270 and 360 degrees
47Statistics part 1Frequency distribution table
Objective: To construct a frequency distribution table for raw data and to interpret the table
48Statistics part 1Frequency histograms and polygons
Objective: To construct and interpret frequency histograms and polygons
49Statistics part 1Relative Frequency
Objective: To extend the frequency distribution table to include a relative frequency column
50Statistics part 1The Range
Objective: To determine the range of data in either raw form or in a frequency distribution table
51Statistics part 1The Mode
Objective: To find the mode from raw data and from a frequency distribution table
52Statistics part 1The Mean
Objective: To calculate means from raw data and from a frequency table using an fx column
53Statistics part 1The Median
Objective: To determine the median of a set of raw scores
54Statistics part 1Cumulative Frequency
Objective: To construct cumulative frequency columns, histograms and polygons
55Statistics part 1Calculating the Mean from a Frequency Distribution
Objective: To determine averages (mean, median and mode) from cumulative frequency polygons
56Statistics part 2Calculating mean, mode and median from grouped data
Objective: To identify class centres, get frequency counts and determine mean, mode and median values
57Statistics part 2Using the Calculator for Statistics
Objective: To find a mean, using a data set or a frequency distribution table and calculator.
58Statistics part 2Measures of Spread
Objective: To determine a range and use it in decision making
59Statistics part 2Standard deviation applications
Objective: To find a standard deviation, using a data set or a frequency distribution table and calculator
60Statistics part 2Measures of Spread: the interquartile range
Objective: To find the upper and lower quartiles and the interquartile range
61Statistics part 1Stem and Leaf Plots along with Box and Whisker Plots
Objective: To derive statistics from data represented as stem & leaf or box & whisker plots
62Statistics part 1The Scatter plot
Objective: To make a valid interpretation of data presented as a scatter plot
63ExamExam – Grade 12 – Foundations for College Mathematics
Objective: Exam
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Grade 12 - Mathematics for Work and Everyday Life Mathematics

#TOPICTITLE
1Study PlanStudy plan – Grade 12 – Mathematics for Work and Everyday Life
Objective: On completion of the course formative assessment a tailored study plan is created identifying the lessons requiring revision.
2Graphs – BasicLine Graphs
Objective: To read and interpret line graphs
3Graphs – BasicPie and Bar Graphs
Objective: To read and interpret pie and bar graphs
4Statistics part 1Frequency distribution table
Objective: To construct a frequency distribution table for raw data and to interpret the table
5Statistics part 1Frequency histograms and polygons
Objective: To construct and interpret frequency histograms and polygons
6DecimalsUsing decimals – shopping problems
Objective: To read and interpret problems involving money
7Measurement – VolumeSolving Problems about Volume Part 1
Objective: To solve volume problems using same and mixed units of length
8Measurement – VolumeSolving Problems about Volume Part 2
Objective: To solve volume problems involving larger objects
9Problem solvingWord Problems with Money
Objective: To solve money word problems using + – x and /
10Problem solvingWord Problems with Length
Objective: To solve length word problems using + – x and /
11Problem solvingWord Problems with Mass
Objective: To solve mass word problems using + – x and /
12Problem solvingWord Problems with Area
Objective: To solve area word problems using + – x and /
13Problem solvingWord Problems with Volume/Capacity
Objective: To solve volume and capacity word problems using + – x and /
14ProbabilitySimple events
Objective: To find the probability of events using sample space and event set (E) and P(E) = n(E)/n(S)
15ProbabilityRolling a pair of dice
Objective: To find the probability of selected events when two dice are rolled
16ProbabilityExperimental probability
Objective: To find the experimental probabilities of an experimental trial
17ProbabilityExperimental probability
Objective: To use tree diagrams to determine sample spaces and compound probabilities
18ProbabilityTree diagrams: depending on previous outcomes
Objective: To use tree diagrams where the probability is dependent on previous outcomes
19ProbabilityThe Complementary Result
Objective: To calculate the probability of complementary events using P(E) = 1 – P(not E)
20Measurement – LengthRead and calculate distances on a map using the formal unit kilometre
Objective: To read distances (km) from a map and calculate total distances between locations
21Measurement – LengthCompare and convert formal units of measurement
Objective: To change cm to mm and then convert mm, cm, m and km from one to another
22Measurement – AreaIntroducing the Rules for Finding the Area of a Rectangle and a Parallelogram
Objective: To calculate the areas of rectangles and parallelograms using Area of Rectangle = Length x Height and Area of Parallelogram = Base x Height
23Measurement – AreaFinding the Area of a Triangle and Other Composite Shapes
Objective: To calculate the area of triangles and measure and calculate composite shape area
24Measurement – CapacityUsing the cubic cm and displacement to measure volume and capacity
Objective: To find volume and capacity using displacement
25Measurement – CapacityUsing the Cubic cm as a Standard Unit of measurement for Volume and Capacity
Objective: To understand a cubic centimetre and how it can be used to find the volume and capacity of a three-dimensional shape
26Measurement – CapacityThe relationship between the common units of capacity: the litre and the millilitre
Objective: To convert L to mL and vice versa using 1000 mL = 1 L
27Measurement – CapacityConverting between volume and capacity using kiloliters and liters
Objective: To know the formal units of measurement for volume and capacity for bigger objects
28Measurement – CapacityEstimate, measure and compare the capacity of containers
Objective: To understand estimation and a way to go about it
29Measurement – CapacityConverting between volume and capacity using milliliters and liters
Objective: To solve capacity problems involving mixed dimensional units
30Measurement – MassThe Kilogram
Objective: To recognise which of two (or more) objects has the greater mass
31Measurement – MassThe Gram
Objective: To calculate net mass in grams and solve shopping problems involving mass
32PythagorasPythagoras’ Theorem: Finding the Hypotenuse
Objective: To calculate the length of a hypotenuse using Pythagoras’ Theorem
33PythagorasUsing Pythagorean Triples to Identify Right Triangles
Objective: To identify right triangles by using Pythagorean Triples or Pythagoras’ Theorem
34PythagorasCalculating the Hypotenuse of a right-angled Triangle
Objective: To calculate the length of a hypotenuse where lengths are given as surds or decimals
35Measurement – Advanced areaArea of a Trapezium
Objective: To calculate the area of trapezia using A=(h/2)(a+b)
36Measurement – Advanced areaArea of a Rhombus
Objective: To calculate the area of a rhombus using diagonal products
37Measurement – Advanced areaArea of a Circle
Objective: To calculate the area of circles and sectors and to solve circle problems
38Measurement – Advanced areaArea of Regular Polygons and Composite Figures
Objective: To calculate area of composite figures and solve problems using correct formulae
39Measurement – Advanced volumeFinding the volume of prisms
Objective: To calculate the volume of prisms using V=Ah and solve volume problems
40Measurement – Advanced volumeComposite Solids
Objective: To calculate the volume of composite figures using appropriate formulae
41Surface areaSurface Area of a Cube/Rectangular Prism
Objective: To calculate the surface area of cubes and rectangular prisms
42Surface areaSurface Area of a Triangular/Trapezoidal Prism
Objective: To calculate the surface area of triangular and trapezoidal prisms
43Surface areaSurface Area of a Cylinder and Sphere
Objective: To calculate the surface area of cylinders and spheres
44Surface areaSurface Area of Pyramids
Objective: To calculate the surface area of pyramids
45Surface areaSurface area of composite solids
Objective: On completion of the lesson the student will be able to find the surface areas of Composite solids.
46SpaceMeasure and classify angles
Objective: To classify and measure angles and calculate angles in a triangle
47ExamExam – Grade 12 – Mathematics for Work and Everyday Life
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

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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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