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Math and English can prove tough for some students. It can be difficult to fully grasp all the concepts taught in a single lesson. FutureSchool, an online math and English tutoring program that is also aligned with the New York school curriculum, gives students the chance to understand their course material from the comfort of their own home. Students can access a variety of elearning lessons no matter what grade they are in. Or they can have a personalized lesson plan created for them, after taking an assessment test, that focuses on their weaknesses. Parents can stay informed by means of the parent portal, which lets them monitor progress. It is also a great tool for New York teachers and home schooling education. FutureSchool helps them create lesson plans or gives them access to supplemental materials, all of which stay in line with New York school requirements.

Online Math Classes

FutureSchool’s online math courses span all grade levels from kindergarten through twelfth grade. Younger students can learn to master numbers and simple calculations. The lessons at the high school level include basic algebra, integrated algebra, geometry, and trigonometry. There are even lesson sets on SAT algebra, trigonometry, statistics and probability and analytical mathematics (including calculus). At the end of each lesson set, there is a full exam. Students can practice their current lessons or look at older ones for review. If stuck, they can contact an online math tutor no matter what time it is. There is always assistance available.

Online English Classes

The online English classes provided by FutureSchool focus only on literacy, not literature, so students can improve their reading and writing abilities. It starts as basic as the alphabet and simple sentence construction. The lessons for young students use family and animals, so it is fun for them. By the high school levels, students can work on refining their skills with punctuation, grammar and essay writing skills. There is even a lesson on how to write professional letters. All throughout, there are vocabulary and spelling lessons, which will help students continually improve their available vocabulary. FutureSchool even has a lesson set for students who are learning the English language. As with the math classes, an online English tutor can be found 24/7.

FutureSchool is closely aligned with the New York school curriculum. This makes it an excellent tool for students to keep up in school and educators to easily create lesson plans and find wonderful supplemental material. You can rest assured that the FutureSchool program will complement and work hand-in-hand with current schoolwork in New York. Find out more about home schooling in America.

Mathematics

Kindergarten Mathematics

# TOPIC TITLE
1 Study Plan Study plan – Kindergarten
Objective: On completion of the course formative assessment a tailored study plan is created identifying the lessons requiring revision.
2 Basic mathematics part 1 The Numbers 1 to 5
Objective: To match words and numbers from 1 to 5
3 Basic mathematics part 1 The Numbers 6 to 9
Objective: To write and match the numeral and word for the numbers 6 to 9
4 Basic mathematics part 1 Ordinal numbers 1-9
Objective: To match ordinal words and numbers with groups of 1-9 objects
5 Basic mathematics part 1 Zero and the Counting Numbers 1 to 9
Objective: To identify ‘0’, to establish numerical order (1-10) and to match spelling
6 Basic mathematics part 1 The Number 10
Objective: To identify 10 things and to match groups (1-10) of things to their number
7 Basic mathematics part 1 The Numbers 11 to 20
Objective: To write the numeral and word for the numbers 11 to 20 and to count up to 20
8 Basic mathematics part 1 Using Place Value to Order Numbers up to 20
Objective: To use place value to understand the value of numbers up to 20
9 Basic mathematics part 1 Simple addition up to the number 10
Objective: To construct addition sentences (sum to 10) using + and =
10 Basic mathematics part 1 Simple addition up to the number 20
Objective: To add numbers 1 to 10 to a sum <20 using horizontal and vertical formats
11 Basic mathematics part 1 Subtraction up to the number 10
Objective: To subtract numbers 0 to 10 using pictures and numerals
12 Basic mathematics part 1 Subtraction: by comparison
Objective: To establish concept of more and to use subtraction to work out how many more
13 Basic mathematics part 1 Subtraction up to the number 20
Objective: To accurately subtract numbers 1-20 using horizontal and vertical formats
14 Time Duration
Objective: To choose the difference between a short time and a long time
15 Time Days of the Week
Objective: To name and recognise the days of the week in order
16 Exam Exam – Kindergarten
Objective: Exam
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Grade 1 Mathematics

# TOPIC TITLE
1 Study Plan Study plan – Grade 1
Objective: On completion of the course formative assessment a tailored study plan is created identifying the lessons requiring revision.
2 Basic mathematics part 1 The Numbers 1 to 5
Objective: To match words and numbers from 1 to 5
3 Basic mathematics part 1 The Numbers 6 to 9
Objective: To write and match the numeral and word for the numbers 6 to 9
4 Basic mathematics part 1 Ordinal numbers 1-9
Objective: To match ordinal words and numbers with groups of 1-9 objects
5 Basic mathematics part 1 Zero and the Counting Numbers 1 to 9
Objective: To identify ‘0’, to establish numerical order (1-10) and to match spelling
6 Basic mathematics part 1 The Number 10
Objective: To identify 10 things and to match groups (1-10) of things to their number
7 Basic mathematics part 1 The Numbers 11 to 20
Objective: To write the numeral and word for the numbers 11 to 20 and to count up to 20
8 Basic mathematics part 1 Multiples of 10 up to 100
Objective: To match numerals and word names for multiples of 10 and add multiples of 10
9 Basic mathematics part 1 The numbers 20 to 99
Objective: To recognise, name and add multiples of ten
10 Basic mathematics part 1 Using Place Value to Order Numbers up to 20
Objective: To use place value to understand the value of numbers up to 20
11 Basic mathematics part 1 Simple addition up to the number 10
Objective: To construct addition sentences (sum to 10) using + and =
12 Basic mathematics part 1 Simple addition up to the number 20
Objective: To add numbers 1 to 10 to a sum <20 using horizontal and vertical formats
13 Basic mathematics part 1 Subtraction up to the number 10
Objective: To subtract numbers 0 to 10 using pictures and numerals
14 Basic mathematics part 1 Subtraction: by comparison
Objective: To establish concept of more and to use subtraction to work out how many more
15 Basic mathematics part 1 Subtraction up to the number 20
Objective: To accurately subtract numbers 1-20 using horizontal and vertical formats
16 Basic mathematics part 1 The number 100
Objective: To count by 1, 2, 5 and 10s to 100 and recognise that 10 x 10 = 100
17 Time Days of the Week
Objective: To name and recognise the days of the week in order
18 Time Duration
Objective: To choose the difference between a short time and a long time
19 Time Months 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
20 Measurement – Length Compare length by using informal units of measurement
Objective: To choose the most appropriate body part as a unit for measuring common objects
21 Graphs – Basic Picture Graphs
Objective: To construct, read and interpret picture graphs
22 Exam Exam – Grade 1
Objective: Exam
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Grade 2 Mathematics

# TOPIC TITLE
1 Study Plan Study plan – Grade 2
Objective: On completion of the course formative assessment a tailored study plan is created identifying the lessons requiring revision.
2 Basic mathematics part 1 The numbers 20 to 99
Objective: To recognise, name and add multiples of ten
3 Basic mathematics part 1 The number 100
Objective: To count by 1, 2, 5 and 10s to 100 and recognise that 10 x 10 = 100
4 Basic mathematics part 1 Addition up to the number 99
Objective: To add two 2-digit numbers to 99
5 Basic mathematics part 1 Multiples of 10 up to 100
Objective: To match numerals and word names for multiples of 10 and add multiples of 10
6 Basic mathematics part 1 Subtraction up to the number 20
Objective: To accurately subtract numbers 1-20 using horizontal and vertical formats
7 Basic mathematics part 2 Multiples and factors of whole numbers
Objective: To identify the factors, multiples and squares of numbers
8 Basic mathematics part 1 Multiplication using equal groups
Objective: To identify multiplication as a number of groups of objects
9 Basic mathematics part 1 Multiplication using repeated addition
Objective: To perform repeated addition in preparation for multiplication
10 Basic mathematics part 1 The Multiplication Sign
Objective: To use the ‘x’ sign for repeated addition and perform 1-digit multiplication
11 Basic mathematics part 1 Multiplication with important facts
Objective: To practice multiplication facts to 10 x 10
12 Basic mathematics part 1 Strategies for division
Objective: To perform division by arranging objects into groups
13 Basic mathematics part 2 Solve 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
14 Time Duration
Objective: To choose the difference between a short time and a long time
15 Time Days of the Week
Objective: To name and recognise the days of the week in order
16 Time Months 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
17 Measurement – Length Compare length by using informal units of measurement
Objective: To choose the most appropriate body part as a unit for measuring common objects
18 Measurement – Mass Introducing the concept of mass
Objective: To distinguish between light and heavy objects
19 Graphs – Basic Picture Graphs
Objective: To construct, read and interpret picture graphs
20 Graphs – Basic Column Graphs
Objective: To read and interpret column graphs
21 Exam Exam – Grade 2
Objective: Exam
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Grade 3 Mathematics

# TOPIC TITLE
1 Study Plan Study plan – Grade 3
Objective: On completion of the course formative assessment a tailored study plan is created identifying the lessons requiring revision.
2 Basic mathematics part 1 The number 100
Objective: To count by 1, 2, 5 and 10s to 100 and recognise that 10 x 10 = 100
3 Basic mathematics part 1 The numbers 100 to 999
Objective: To use pictures and numerals for numbers 100 to 999 and count by 10s and 100s
4 Basic mathematics part 1 Addition up to the number 99
Objective: To add two 2-digit numbers to 99
5 Basic mathematics part 1 Subtraction with Word Problems
Objective: To construct suitable subtraction sums in order to solve word problems and puzzles
6 Basic mathematics part 1 Subtraction up to the number 99
Objective: To subtract multiples of 10 and subtract 2-digit numbers without trading
7 Basic mathematics part 1 Subtraction with trading
Objective: To subtract 1 and 2-digit numbers with trading
8 Basic mathematics part 1 Multiplication using equal groups
Objective: To identify multiplication as a number of groups of objects
9 Basic mathematics part 1 Multiplication using repeated addition
Objective: To perform repeated addition in preparation for multiplication
10 Basic mathematics part 1 The Multiplication Sign
Objective: To use the ‘x’ sign for repeated addition and perform 1-digit multiplication
11 Basic mathematics part 1 Multiplication with important facts
Objective: To practice multiplication facts to 10 x 10
12 Long multiplication Multiplying 2-digit numbers by multiples of 10
Objective: To multiply 2-digit numbers by multiples of 10 using long multiplication
13 Basic mathematics part 2 Multiples and factors of whole numbers
Objective: To identify the factors, multiples and squares of numbers
14 Basic mathematics part 1 Strategies for division
Objective: To perform division by arranging objects into groups
15 Basic mathematics part 2 Solve 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
16 Basic mathematics part 2 Division with and without a remainder
Objective: To divide by 1-digit divisor with/without remainder and form division problems
17 Basic mathematics part 2 Dividing two and three-digit numbers by a single-digit number
Objective: To divide 3-digit by 1-digit numbers and solve word problems
18 Time Days of the Week
Objective: To name and recognise the days of the week in order
19 Time Months 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
20 Time O’clock and half past using digital time
Objective: To use the terms ‘o’clock’ and ‘half past’ on a digital clock
21 Time O’clock and half past on the analogue clock
Objective: To read and use the terms o’clock and half past on an analogue clock
22 Time Analogue – Telling time – minutes in the hour
Objective: To recognise the coordinated movements of the hands on an analogue clock
23 Time Quarter past and quarter to
Objective: To associate the numerals 3, 6 and 9 with 15, 30 and 45 minutes
24 Time Units of time
Objective: To convert units of time by reading simple timetables, timelines and calendars
25 Time am and pm time
Objective: To distinguish between am and pm time and to use the correct notation for am and pm time
26 Time Telling the time – minutes past the hour
Objective: To read analogue time to the minute past the hour
27 Time Telling the time – minutes to the hour
Objective: To read analogue clocks in minutes to the hour
28 Time Relating analogue and digital time
Objective: To read analogue and digital clocks to the minute
29 Measurement – Length Compare length by using informal units of measurement
Objective: To choose the most appropriate body part as a unit for measuring common objects
30 Measurement – Advanced area Comparing and Ordering Areas
Objective: To estimate size order and count or estimate area as the number of cm squares
31 Measurement – Mass Introducing the concept of mass
Objective: To distinguish between light and heavy objects
32 Graphs – Basic Picture Graphs
Objective: To construct, read and interpret picture graphs
33 Graphs – Basic Column Graphs
Objective: To read and interpret column graphs
34 Graphs – Basic Line Graphs
Objective: To read and interpret line graphs
35 Fractions Using 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
36 Fractions Using 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
37 Fractions Fractions 1/5, 1/10, 1/100
Objective: To compare and represent fractions with the denominator 5, 10, 100
38 Exam Exam – Grade 3
Objective: Exam
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Grade 4 Mathematics

# TOPIC TITLE
1 Study Plan Study plan – Grade 4
Objective: On completion of the course formative assessment a tailored study plan is created identifying the lessons requiring revision.
2 Basic mathematics part 1 The numbers 100 to 999
Objective: To use pictures and numerals for numbers 100 to 999 and count by 10s and 100s
3 Basic mathematics part 2 The numbers 1000 to 9999
Objective: To write words and numbers to 9999 and count by 1, 10, 100 and 1000 to 9999
4 Basic mathematics part 2 The Numbers 10 000 to 99 999
Objective: To determine the place value of digits in, order of and name of 5-digit numbers
5 Basic mathematics part 2 Addition up to the number 999
Objective: To add up to three 2 and 3-digit numbers with and without trading
6 Basic mathematics part 1 Subtraction up to the number 99
Objective: To subtract multiples of 10 and subtract 2-digit numbers without trading
7 Basic mathematics part 1 Subtraction with trading
Objective: To subtract 1 and 2-digit numbers with trading
8 Basic mathematics part 1 Subtraction with Word Problems
Objective: To construct suitable subtraction sums in order to solve word problems and puzzles
9 Basic mathematics part 2 Subtraction up to the number 999
Objective: To subtract 3-digit numbers with and without trading and find missing digits
10 Basic mathematics part 1 Multiplication with important facts
Objective: To practice multiplication facts to 10 x 10
11 Basic mathematics part 2 Multiples and factors of whole numbers
Objective: To identify the factors, multiples and squares of numbers
12 Basic mathematics part 2 Multiplication using extended algorithms
Objective: To multiply 3-digit by 1-digit numbers and solve multiplication word problems
13 Long multiplication Multiplying 2-digit numbers by multiples of 10
Objective: To multiply 2-digit numbers by multiples of 10 using long multiplication
14 Long multiplication Multiplying 2-digit numbers by 2-digit numbers
Objective: To multiply 2-digit numbers by 2-digit numbers using long multiplication
15 Long multiplication Multiplying 3 and 4-digit numbers by multiples of 100
Objective: To multiply 4-digit numbers by multiples of 100 using long multiplication
16 Basic mathematics part 2 Solve 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
17 Long division Repeated subtraction with divisors less than 20 with no remainders
Objective: To divide 2-digit numbers by repeated subtraction
18 Long division Repeated subtraction by multiples of 10 with divisors less than 20 with no remainders
Objective: To divide 2-digit numbers by repeated subtraction of 10x the divisor
19 Basic mathematics part 1 Strategies for division
Objective: To perform division by arranging objects into groups
20 Basic mathematics part 2 Division with and without a remainder
Objective: To divide by 1-digit divisor with/without remainder and form division problems
21 Basic mathematics part 2 Dividing two and three-digit numbers by a single-digit number
Objective: To divide 3-digit by 1-digit numbers and solve word problems
22 Time Days of the Week
Objective: To name and recognise the days of the week in order
23 Time Units of time
Objective: To convert units of time by reading simple timetables, timelines and calendars
24 Time Analogue – Telling time – minutes in the hour
Objective: To recognise the coordinated movements of the hands on an analogue clock
25 Time am and pm time
Objective: To distinguish between am and pm time and to use the correct notation for am and pm time
26 Time O’clock and half past using digital time
Objective: To use the terms ‘o’clock’ and ‘half past’ on a digital clock
27 Time O’clock and half past on the analogue clock
Objective: To read and use the terms o’clock and half past on an analogue clock
28 Time Quarter past and quarter to
Objective: To associate the numerals 3, 6 and 9 with 15, 30 and 45 minutes
29 Time Telling the time – minutes past the hour
Objective: To read analogue time to the minute past the hour
30 Time Telling the time – minutes to the hour
Objective: To read analogue clocks in minutes to the hour
31 Time Relating analogue and digital time
Objective: To read analogue and digital clocks to the minute
32 Measurement – Length Compare length by using informal units of measurement
Objective: To choose the most appropriate body part as a unit for measuring common objects
33 Measurement – Length Using the metre as a formal unit to measure perimeter
Objective: To calculate the perimeter of shapes whose measurements are given in metres
34 Measurement – Advanced area Comparing and Ordering Areas
Objective: To estimate size order and count or estimate area as the number of cm squares
35 Measurement – Length Using the formal unit of the centimetre to measure length and perimeter
Objective: To use a ruler to find lengths and perimeters in centimetres
36 Measurement – Capacity Using the cubic cm and displacement to measure volume and capacity
Objective: To find volume and capacity using displacement
37 Measurement – Capacity Using 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
38 Measurement – Capacity The 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
39 Measurement – Capacity Converting between volume and capacity using kiloliters and liters
Objective: To know the formal units of measurement for volume and capacity for bigger objects
40 Measurement – Capacity Estimate, measure and compare the capacity of containers
Objective: To understand estimation and a way to go about it
41 Measurement – Mass Introducing the concept of mass
Objective: To distinguish between light and heavy objects
42 Measurement – Mass The Kilogram
Objective: To recognise which of two (or more) objects has the greater mass
43 Measurement – Mass The Gram
Objective: To calculate net mass in grams and solve shopping problems involving mass
44 Graphs – Basic Column Graphs
Objective: To read and interpret column graphs
45 Graphs – Basic Line Graphs
Objective: To read and interpret line graphs
46 Graphs – Basic Pie and Bar Graphs
Objective: To read and interpret pie and bar graphs
47 Fractions Using 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
48 Fractions Using 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
49 Fractions Comparing and ordering fractions
Objective: To compare and order fractions with the same and different numbers of equal parts
50 Fractions Fractions 1/5, 1/10, 1/100
Objective: To compare and represent fractions with the denominator 5, 10, 100
51 Decimals Intro to Decimals
Objective: To relate the equivalent fraction to a decimal
52 Decimals Comparing and ordering decimals to two decimal places
Objective: To compare and order decimals to two decimal places
53 Decimals Decimals with whole numbers 10th and 100th
Objective: To use and understand place value to show whole numbers, tenths and hundredths as decimals
54 Decimals Adding decimals to two decimal places
Objective: To add decimals with the same number of decimal places (to two decimal Places)
55 Exam Exam – Grade 4
Objective: Exam
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Grade 5 Mathematics

# TOPIC TITLE
1 Study Plan Study plan – Grade 5
Objective: On completion of the course formative assessment a tailored study plan is created identifying the lessons requiring revision.
2 Basic mathematics part 2 The numbers 1000 to 9999
Objective: To write words and numbers to 9999 and count by 1, 10, 100 and 1000 to 9999
3 Basic mathematics part 2 The Numbers 10 000 to 99 999
Objective: To determine the place value of digits in, order of and name of 5-digit numbers
4 Basic mathematics part 2 Seven digit numbers
Objective: To determine the place value of digits in, and the name of numbers to 1 000 000
5 Basic mathematics part 2 Addition up to the number 999
Objective: To add up to three 2 and 3-digit numbers with and without trading
6 Basic mathematics part 2 Addition to 9999 and beyond
Objective: To add up to five 3, 4 or 5-digit numbers from 0 to 99 999
7 Basic mathematics part 2 Subtraction up to the number 999
Objective: To subtract 3-digit numbers with and without trading and find missing digits
8 Basic mathematics part 2 Subtraction involving four-digit numbers and beyond
Objective: To subtract 4 or 5-digit numbers from 5-digit numbers using the Renaming Method
9 Long multiplication Multiplying 2-digit numbers by multiples of 10
Objective: To multiply 2-digit numbers by multiples of 10 using long multiplication
10 Long multiplication Multiplying 3 and 4-digit numbers by multiples of 100
Objective: To multiply 4-digit numbers by multiples of 100 using long multiplication
11 Long multiplication Multiplying 2-digit numbers by 2-digit numbers
Objective: To multiply 2-digit numbers by 2-digit numbers using long multiplication
12 Basic mathematics part 2 Multiplication by 2 and 3 Digits
Objective: To multiply 3 or 4-digit numbers by 2 or 3-digit numbers
13 Long multiplication Multiplying 3-digit numbers by 4-digit numbers
Objective: To multiply 4-digit numbers by 3-digit numbers using long multiplication
14 Basic mathematics part 2 Multiplication using extended algorithms
Objective: To multiply 3-digit by 1-digit numbers and solve multiplication word problems
15 Long division Repeated subtraction by multiples of 2, 3 and 4 with divisors greater than 20 with no remainders
Objective: To divide 2 or 3-digit numbers by repeated subtraction of multiples of the divisor
16 Long division Repeated subtraction by multiples of 1,2 and 3 with divisors less than 20 with remainders
Objective: To divide 2 or 3-digit numbers by repeated subtraction with remainder
17 Long division Repeated subtraction by multiples of 10 with divisors less than 20 with remainders
Objective: To divide 3-digit numbers by repeated subtraction of 10x divisor, with remainder
18 Basic mathematics part 2 Dividing two and three-digit numbers by a single-digit number
Objective: To divide 3-digit by 1-digit numbers and solve word problems
19 Basic mathematics part 2 Divide 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
20 Time Units of time
Objective: To convert units of time by reading simple timetables, timelines and calendars
21 Time Analogue – Telling time – minutes in the hour
Objective: To recognise the coordinated movements of the hands on an analogue clock
22 Time am and pm time
Objective: To distinguish between am and pm time and to use the correct notation for am and pm time
23 Time Quarter past and quarter to
Objective: To associate the numerals 3, 6 and 9 with 15, 30 and 45 minutes
24 Time Telling the time – minutes past the hour
Objective: To read analogue time to the minute past the hour
25 Time Telling the time – minutes to the hour
Objective: To read analogue clocks in minutes to the hour
26 Time Relating analogue and digital time
Objective: To read analogue and digital clocks to the minute
27 Time O’clock and half past using digital time
Objective: To use the terms ‘o’clock’ and ‘half past’ on a digital clock
28 Time O’clock and half past on the analogue clock
Objective: To read and use the terms o’clock and half past on an analogue clock
29 Time 24-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
30 Time Time Zones
Objective: To recognise and compare different time zones within Australia
31 Measurement – Length Using the metre as a formal unit to measure perimeter
Objective: To calculate the perimeter of shapes whose measurements are given in metres
32 Measurement – Length Using the formal unit of the centimetre to measure length and perimeter
Objective: To use a ruler to find lengths and perimeters in centimetres
33 Measurement – Length Read 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
34 Measurement – Length Compare and convert formal units of measurement
Objective: To change cm to mm and then convert mm, cm, m and km from one to another
35 Measurement – Advanced area Comparing and Ordering Areas
Objective: To estimate size order and count or estimate area as the number of cm squares
36 Measurement – Area Introduction to the square centimetre
Objective: To determine the area of a shape by counting the number of square centimetres
37 Measurement – Area Introducing 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
38 Measurement – Area Finding the Area of a Triangle and Other Composite Shapes
Objective: To calculate the area of triangles and measure and calculate composite shape area
39 Measurement – Volume Introduction to Volume: using the cubic centimetre as a standard unit
Objective: To count volume using 1 cm cubes
40 Measurement – Volume Constructing Models
Objective: To develop volume of prisms as layers of a number of 1 cm cubes
41 Measurement – Volume Using the Cubic Centimetre to Measure Volume
Objective: To use the 1 cm cube as the unit for volume
42 Measurement – Volume Introducing the Formula for Volume
Objective: To calculate the volume of rectangular prisms using V=l x b x h
43 Measurement – Capacity Using the cubic cm and displacement to measure volume and capacity
Objective: To find volume and capacity using displacement
44 Measurement – Capacity Using 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
45 Measurement – Capacity The 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
46 Measurement – Capacity Converting between volume and capacity using kiloliters and liters
Objective: To know the formal units of measurement for volume and capacity for bigger objects
47 Measurement – Capacity Estimate, measure and compare the capacity of containers
Objective: To understand estimation and a way to go about it
48 Measurement – Capacity Converting between volume and capacity using milliliters and liters
Objective: To solve capacity problems involving mixed dimensional units
49 Measurement – Mass The Kilogram
Objective: To recognise which of two (or more) objects has the greater mass
50 Measurement – Mass The Gram
Objective: To calculate net mass in grams and solve shopping problems involving mass
51 Measurement – Mass The Tonne
Objective: To convert kg to tonnes and solve problems involving heavy masses
52 Fractions Using 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
53 Fractions Using 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
54 Fractions Fractions 1/5, 1/10, 1/100
Objective: To compare and represent fractions with the denominator 5, 10, 100
55 Fractions Comparing and ordering fractions
Objective: To compare and order fractions with the same and different numbers of equal parts
56 Fractions Mixed numerals
Objective: To name and recognise mixed numerals
57 Fractions Improper fractions
Objective: To use diagrams and number lines to recognise and represent mixed numerals and improper fractions
58 Fractions Finding equivalent fractions
Objective: To reduce a fraction to its lowest form
59 Fractions Multiplying and dividing to obtain equivalent fractions.
Objective: To find equivalent fractions using multiplication or division.
60 Fractions Reducing fractions to lowest equivalent form
Objective: To reduce a fraction to its lowest form
61 Fractions Comparing and ordering fractions greater than 1
Objective: To use diagrams, number lines and equivalent fractions to compare and order fractions greater than 1
62 Fractions Subtracting fractions from whole numbers
Objective: To use a diagram and mental strategies to subtract fractions from whole numbers
63 Fractions Adding and subtracting fractions with the same denominator
Objective: To add and subtract fractions with the same denominator
64 Fractions Adding and subtracting fractions with different denominators
Objective: To add fractions with different denominators and the answer is less than 1
65 Fractions Multiplying fractions by whole numbers
Objective: To multiply common fractions by whole numbers
66 Fractions Fractions of whole numbers
Objective: To find fractions of whole numbers
67 Decimals Intro to Decimals
Objective: To relate the equivalent fraction to a decimal
68 Decimals Comparing and ordering decimals to two decimal places
Objective: To compare and order decimals to two decimal places
69 Decimals Decimals with whole numbers 10th and 100th
Objective: To use and understand place value to show whole numbers, tenths and hundredths as decimals
70 Decimals Adding decimals to two decimal places
Objective: To add decimals with the same number of decimal places (to two decimal Places)
71 Decimals Subtracting decimals to two decimal places
Objective: To subtract decimals with the same number of decimal places (to two decimal places)
72 Decimals Using decimals – shopping problems
Objective: To read and interpret problems involving money
73 Decimals Using decimals to record length
Objective: To interpret the everyday use of fractions and decimals
74 Decimals Rounding Decimals
Objective: To round a number with one or two decimal places to the nearest whole number
75 Decimals Decimals to three decimal places
Objective: To express a number on a thousand as a decimal in thousandths
76 Decimals Adding decimals with a different number of decimal places
Objective: To add decimal numbers with a different number of decimal places
77 Decimals Subtracting decimals with a different number of places
Objective: To subtract decimals with a different number of decimal places
78 Decimals Multiplying decimals by 10, 100 and 1000
Objective: To recognise the pattern formed when decimals are multiplied by 10, 100 and 1000
79 Decimals Multiplying decimals by single-digit numbers
Objective: To multiply decimals by single-digit numbers
80 Decimals Multiplication of decimals by decimals to two decimal places
Objective: To multiply decimals to two digits
81 Decimals Dividing decimals by 10, 100 and 1000
Objective: To recognise the pattern formed when decimals are divided by 10, 100 and 1000
82 Decimals Dividing decimals by whole numbers
Objective: To divide decimals by whole numbers
83 Decimals Dividing numbers by decimals
Objective: To divide a whole number by a decimal fraction
84 Percentages Understanding percentages
Objective: To recognise the percentage symbol and relate a common percentage to a fraction
85 Percentages Changing fractions and decimals to percentages tenths and hundredths
Objective: To represent fractions and decimals as percentages
86 Percentages Changing percentages to fractions and decimals
Objective: To change percentages to fractions and decimals
87 Percentages One Quantity as a Percentage of Another
Objective: To determine what one quantity is as a percentage of another
88 Space Using the prefix to determine polygons
Objective: To continue sequences of shapes and recognise prefixes and name polygons
89 Space Spatial properties of quadrilaterals
Objective: To recall and recognise properties of different quadrilaterals
90 Space Measure and classify angles
Objective: To classify and measure angles and calculate angles in a triangle
91 Space Recognise and name triangles
Objective: To recall properties of different triangles
92 Space Use grids to enlarge/reduce 2-D shapes
Objective: To recognise shapes that tessellate and specify position on a grid
93 Space Recognise and name prisms according to spatial properties
Objective: To name prisms according to the shape of the base
94 Space Recognise and name pyramids according to spatial properties
Objective: To name pyramids according to the shape of the base
95 Space Recognise nets for prisms, pyramids, cubes and cones
Objective: To match a net with a solid and determine whether a given net forms a solid
96 Space Viewing 3-D Shapes
Objective: To recognise what a solid looks like when viewed from a given direction
97 Space Position
Objective: To use positional terms such as behind, next to and above, accurately
98 Space Mapping
Objective: To locate places and describe navigation on a map and use a row/column grid
99 Space Main and intermediate compass points
Objective: To specify direction using the eight points of a compass
100 Space Informal coordinate system
Objective: To specify location using a map coordinate system – origin top left
101 Graphs – Basic Line Graphs
Objective: To read and interpret line graphs
102 Graphs – Basic Pie and Bar Graphs
Objective: To read and interpret pie and bar graphs
103 Problem solving Sign Words
Objective: To recognise words and phrases that correspond to + – x and /
104 Problem solving Problem Solving Strategies
Objective: To review problem solving words and an effective problem solving approach
105 Problem solving Word Problems with Numbers
Objective: To solve number word problems using + – x and /
106 Problem solving Word Problems with Money
Objective: To solve money word problems using + – x and /
107 Problem solving Word Problems with Length
Objective: To solve length word problems using + – x and /
108 Problem solving Word Problems with Mass
Objective: To solve mass word problems using + – x and /
109 Problem solving Word Problems with Area
Objective: To solve area word problems using + – x and /
110 Problem solving Word Problems with Volume/Capacity
Objective: To solve volume and capacity word problems using + – x and /
111 Exam Exam – Grade 5
Objective: Exam
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Grade 6 Mathematics

# TOPIC TITLE
1 Study Plan Study plan – Grade 6
Objective: On completion of the course formative assessment a tailored study plan is created identifying the lessons requiring revision.
2 Basic mathematics part 2 The Numbers 10 000 to 99 999
Objective: To determine the place value of digits in, order of and name of 5-digit numbers
3 Basic mathematics part 2 Seven digit numbers
Objective: To determine the place value of digits in, and the name of numbers to 1 000 000
4 Basic mathematics part 2 Addition to 9999 and beyond
Objective: To add up to five 3, 4 or 5-digit numbers from 0 to 99 999
5 Basic mathematics part 2 Subtraction involving four-digit numbers and beyond
Objective: To subtract 4 or 5-digit numbers from 5-digit numbers using the Renaming Method
6 Basic mathematics part 2 Multiplication using extended algorithms
Objective: To multiply 3-digit by 1-digit numbers and solve multiplication word problems
7 Long multiplication Multiplying 3-digit numbers by 4-digit numbers
Objective: To multiply 4-digit numbers by 3-digit numbers using long multiplication
8 Basic mathematics part 2 Divide 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
9 Long division Repeated subtraction with divisors greater than 50 with dividends of 000’s and some remainders
Objective: To divide 4-digit numbers using 10 and 100x divisor, Divisor > 50
10 Long division Using divide, multiple and subtraction in the bring down method
Objective: To use the divide, subtract, multiply, bring down long division method
11 Time 24-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
12 Time Time Zones
Objective: To recognise and compare different time zones within Australia
13 Measurement – Length Using the metre as a formal unit to measure perimeter
Objective: To calculate the perimeter of shapes whose measurements are given in metres
14 Measurement – Length Using the formal unit of the centimetre to measure length and perimeter
Objective: To use a ruler to find lengths and perimeters in centimetres
15 Measurement – Length Read 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
16 Measurement – Length Compare and convert formal units of measurement
Objective: To change cm to mm and then convert mm, cm, m and km from one to another
17 Measurement – Area Introduction to the square centimetre
Objective: To determine the area of a shape by counting the number of square centimetres
18 Measurement – Area Introducing 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
19 Measurement – Area Finding the Area of a Triangle and Other Composite Shapes
Objective: To calculate the area of triangles and measure and calculate composite shape area
20 Measurement – Area Larger Areas: Square Metre, Hectare, Square Kilometre
Objective: To calculate areas in square centimetres, square metres, square kilometres and hectares and convert one to another
21 Measurement – Advanced area Area of a Trapezium
Objective: To calculate the area of trapezia using A=(h/2)(a+b)
22 Measurement – Advanced area Area of a Rhombus
Objective: To calculate the area of a rhombus using diagonal products
23 Measurement – Advanced area Area of a Circle
Objective: To calculate the area of circles and sectors and to solve circle problems
24 Measurement – Advanced area Area of Regular Polygons and Composite Figures
Objective: To calculate area of composite figures and solve problems using correct formulae
25 Measurement – Volume Introduction to Volume: using the cubic centimetre as a standard unit
Objective: To count volume using 1 cm cubes
26 Measurement – Volume Constructing Models
Objective: To develop volume of prisms as layers of a number of 1 cm cubes
27 Measurement – Volume Using the Cubic Centimetre to Measure Volume
Objective: To use the 1 cm cube as the unit for volume
28 Measurement – Volume Introducing the Formula for Volume
Objective: To calculate the volume of rectangular prisms using V=l x b x h
29 Measurement – Volume Using the Cubic Metre to Measure Volume
Objective: To calculate the volume of rectangular prisms in cubic metres
30 Measurement – Volume Solving Problems about Volume Part 1
Objective: To solve volume problems using same and mixed units of length
31 Measurement – Volume Solving Problems about Volume Part 2
Objective: To solve volume problems involving larger objects
32 Measurement – Advanced volume Finding the volume of prisms
Objective: To calculate the volume of prisms using V=Ah and solve volume problems
33 Measurement – Advanced volume Volume of a Cylinder and Sphere
Objective: To solve problems and calculate volumes of cylinders and spheres and parts of each
34 Measurement – Advanced volume Volume of Pyramids and Cones
Objective: To calculate the volumes of pyramids and cones
35 Measurement – Advanced volume Composite Solids
Objective: To calculate the volume of composite figures using appropriate formulae
36 Measurement – Capacity Using the cubic cm and displacement to measure volume and capacity
Objective: To find volume and capacity using displacement
37 Measurement – Capacity Using 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
38 Measurement – Capacity The 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
39 Measurement – Capacity Converting between volume and capacity using kiloliters and liters
Objective: To know the formal units of measurement for volume and capacity for bigger objects
40 Measurement – Capacity Estimate, measure and compare the capacity of containers
Objective: To understand estimation and a way to go about it
41 Measurement – Capacity Converting between volume and capacity using milliliters and liters
Objective: To solve capacity problems involving mixed dimensional units
42 Measurement – Mass The Kilogram
Objective: To recognise which of two (or more) objects has the greater mass
43 Measurement – Mass The Gram
Objective: To calculate net mass in grams and solve shopping problems involving mass
44 Measurement – Mass The Tonne
Objective: To convert kg to tonnes and solve problems involving heavy masses
45 Fractions Comparing and ordering fractions
Objective: To compare and order fractions with the same and different numbers of equal parts
46 Fractions Mixed numerals
Objective: To name and recognise mixed numerals
47 Fractions Improper fractions
Objective: To use diagrams and number lines to recognise and represent mixed numerals and improper fractions
48 Fractions Finding equivalent fractions
Objective: To reduce a fraction to its lowest form
49 Fractions Multiplying and dividing to obtain equivalent fractions.
Objective: To find equivalent fractions using multiplication or division.
50 Fractions Reducing fractions to lowest equivalent form
Objective: To reduce a fraction to its lowest form
51 Fractions Comparing and ordering fractions greater than 1
Objective: To use diagrams, number lines and equivalent fractions to compare and order fractions greater than 1
52 Fractions Subtracting fractions from whole numbers
Objective: To use a diagram and mental strategies to subtract fractions from whole numbers
53 Fractions Adding and subtracting fractions with the same denominator
Objective: To add and subtract fractions with the same denominator
54 Fractions Adding and subtracting fractions with different denominators
Objective: To add fractions with different denominators and the answer is less than 1
55 Fractions Multiplying fractions by whole numbers
Objective: To multiply common fractions by whole numbers
56 Fractions Fractions of whole numbers
Objective: To find fractions of whole numbers
57 Fractions Multiplying fractions
Objective: To multiply fractions and reduce the answer to its lowest form
58 Fractions Multiplying mixed numbers
Objective: To multiply mixed numbers and reduce the answer to its lowest form
59 Fractions Finding reciprocals of fractions and mixed numbers
Objective: To find the reciprocals of fractions and mixed numbers
60 Fractions Dividing fractions
Objective: To divide fractions by other fractions
61 Fractions Dividing mixed numbers
Objective: To divide mixed numbers
62 Fractions BODMAS
Objective: To calculate answers for fraction and mixed number questions using BODMAS
63 Percentages Calculating Percentages and Fractions of Quantities
Objective: To find percentages and fractions of quantities and solve problems with percentages
64 Decimals Intro to Decimals
Objective: To relate the equivalent fraction to a decimal
65 Decimals Comparing and ordering decimals to two decimal places
Objective: To compare and order decimals to two decimal places
66 Decimals Decimals with whole numbers 10th and 100th
Objective: To use and understand place value to show whole numbers, tenths and hundredths as decimals
67 Decimals Adding decimals to two decimal places
Objective: To add decimals with the same number of decimal places (to two decimal Places)
68 Decimals Subtracting decimals to two decimal places
Objective: To subtract decimals with the same number of decimal places (to two decimal places)
69 Decimals Using decimals – shopping problems
Objective: To read and interpret problems involving money
70 Decimals Using decimals to record length
Objective: To interpret the everyday use of fractions and decimals
71 Decimals Rounding Decimals
Objective: To round a number with one or two decimal places to the nearest whole number
72 Decimals Decimals to three decimal places
Objective: To express a number on a thousand as a decimal in thousandths
73 Decimals Adding decimals with a different number of decimal places
Objective: To add decimal numbers with a different number of decimal places
74 Decimals Subtracting decimals with a different number of places
Objective: To subtract decimals with a different number of decimal places
75 Decimals Multiplying decimals by 10, 100 and 1000
Objective: To recognise the pattern formed when decimals are multiplied by 10, 100 and 1000
76 Decimals Multiplying decimals by single-digit numbers
Objective: To multiply decimals by single-digit numbers
77 Decimals Multiplication of decimals by decimals to two decimal places
Objective: To multiply decimals to two digits
78 Decimals Dividing decimals by 10, 100 and 1000
Objective: To recognise the pattern formed when decimals are divided by 10, 100 and 1000
79 Decimals Dividing decimals by whole numbers
Objective: To divide decimals by whole numbers
80 Decimals Dividing numbers by decimals
Objective: To divide a whole number by a decimal fraction
81 Percentages Understanding percentages
Objective: To recognise the percentage symbol and relate a common percentage to a fraction
82 Percentages Changing fractions and decimals to percentages tenths and hundredths
Objective: To represent fractions and decimals as percentages
83 Percentages Changing percentages to fractions and decimals
Objective: To change percentages to fractions and decimals
84 Percentages One Quantity as a Percentage of Another
Objective: To determine what one quantity is as a percentage of another
85 Space Using the prefix to determine polygons
Objective: To continue sequences of shapes and recognise prefixes and name polygons
86 Space Spatial properties of quadrilaterals
Objective: To recall and recognise properties of different quadrilaterals
87 Space Measure and classify angles
Objective: To classify and measure angles and calculate angles in a triangle
88 Space Recognise and name triangles
Objective: To recall properties of different triangles
89 Space Use grids to enlarge/reduce 2-D shapes
Objective: To recognise shapes that tessellate and specify position on a grid
90 Space Recognise and name prisms according to spatial properties
Objective: To name prisms according to the shape of the base
91 Space Recognise and name pyramids according to spatial properties
Objective: To name pyramids according to the shape of the base
92 Space Recognise nets for prisms, pyramids, cubes and cones
Objective: To match a net with a solid and determine whether a given net forms a solid
93 Space Viewing 3-D Shapes
Objective: To recognise what a solid looks like when viewed from a given direction
94 Space Position
Objective: To use positional terms such as behind, next to and above, accurately
95 Space Mapping
Objective: To locate places and describe navigation on a map and use a row/column grid
96 Space Main and intermediate compass points
Objective: To specify direction using the eight points of a compass
97 Space Informal coordinate system
Objective: To specify location using a map coordinate system – origin top left
98 Graphs – Basic Pie and Bar Graphs
Objective: To read and interpret pie and bar graphs
99 Problem solving Sign Words
Objective: To recognise words and phrases that correspond to + – x and /
100 Problem solving Problem Solving Strategies
Objective: To review problem solving words and an effective problem solving approach
101 Problem solving Word Problems with Numbers
Objective: To solve number word problems using + – x and /
102 Problem solving Word Problems with Money
Objective: To solve money word problems using + – x and /
103 Problem solving Word Problems with Length
Objective: To solve length word problems using + – x and /
104 Problem solving Word Problems with Mass
Objective: To solve mass word problems using + – x and /
105 Problem solving Word Problems with Area
Objective: To solve area word problems using + – x and /
106 Problem solving Word Problems with Volume/Capacity
Objective: To solve volume and capacity word problems using + – x and /
107 Time Average speed
Objective: To understand what is meant by the speed and average speed of an object and read the instantaneous speed of a vehicle on a speedometer
108 Exam Exam – Grade 6
Objective: Exam
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Grade 7 Mathematics

# TOPIC TITLE
1 Study Plan Study plan – Grade 7
Objective: On completion of the course formative assessment a tailored study plan is created identifying the lessons requiring revision.
2 Space Mapping
Objective: To locate places and describe navigation on a map and use a row/column grid
3 Space Recognise nets for prisms, pyramids, cubes and cones
Objective: To match a net with a solid and determine whether a given net forms a solid
4 Space Use grids to enlarge/reduce 2-D shapes
Objective: To recognise shapes that tessellate and specify position on a grid
5 Space Viewing 3-D Shapes
Objective: To recognise what a solid looks like when viewed from a given direction
6 Space Informal coordinate system
Objective: To specify location using a map coordinate system – origin top left
7 Graphs – Basic Picture Graphs
Objective: To construct, read and interpret picture graphs
8 Graphs – Basic Column Graphs
Objective: To read and interpret column graphs
9 Graphs – Basic Pie and Bar Graphs
Objective: To read and interpret pie and bar graphs
10 Graphs – Basic Line Graphs
Objective: To read and interpret line graphs
11 Long multiplication Multiplying 3-digit numbers by 4-digit numbers
Objective: To multiply 4-digit numbers by 3-digit numbers using long multiplication
12 Long division Repeated subtraction by multiples of 2, 3 and 4 with divisors greater than 20 with no remainders
Objective: To divide 2 or 3-digit numbers by repeated subtraction of multiples of the divisor
13 Long division Repeated subtraction by multiples of 1,2 and 3 with divisors less than 20 with remainders
Objective: To divide 2 or 3-digit numbers by repeated subtraction with remainder
14 Long division Repeated subtraction with divisors greater then 20 with remainders as fractions
Objective: To divide by repeated subtraction, with remainder expressed as a fraction D>20
15 Long division Repeated subtraction with divisors less than 35 with some remainders
Objective: To divide by repeated subtraction, with remainder expressed as a fraction D<35
16 Long division Repeated subtraction with divisors less than 55 with dividends of 3 and 4-digits with some remainders
Objective: To divide 4-digit numbers using 10 and 100x divisor, Divisor < 55
17 Long division Repeated subtraction with divisors greater than 50 with dividends of 000’s and some remainders
Objective: To divide 4-digit numbers using 10 and 100x divisor, Divisor > 50
18 Long division Using divide, multiple and subtraction in the bring down method
Objective: To use the divide, subtract, multiply, bring down long division method
19 Basic mathematics part 2 Multiples and factors of whole numbers
Objective: To identify the factors, multiples and squares of numbers
20 Decimals Rounding Decimals
Objective: To round a number with one or two decimal places to the nearest whole number
21 Decimals Decimals to three decimal places
Objective: To express a number on a thousand as a decimal in thousandths
22 Decimals Adding decimals with a different number of decimal places
Objective: To add decimal numbers with a different number of decimal places
23 Decimals Subtracting decimals with a different number of places
Objective: To subtract decimals with a different number of decimal places
24 Decimals Multiplying decimals by 10, 100 and 1000
Objective: To recognise the pattern formed when decimals are multiplied by 10, 100 and 1000
25 Decimals Multiplying decimals by single-digit numbers
Objective: To multiply decimals by single-digit numbers
26 Decimals Multiplication of decimals by decimals to two decimal places
Objective: To multiply decimals to two digits
27 Decimals Dividing decimals by 10, 100 and 1000
Objective: To recognise the pattern formed when decimals are divided by 10, 100 and 1000
28 Decimals Dividing decimals by whole numbers
Objective: To divide decimals by whole numbers
29 Decimals Dividing numbers by decimals
Objective: To divide a whole number by a decimal fraction
30 Percentages Changing fractions and decimals to percentages tenths and hundredths
Objective: To represent fractions and decimals as percentages
31 Percentages Changing percentages to fractions and decimals
Objective: To change percentages to fractions and decimals
32 Percentages One Quantity as a Percentage of Another
Objective: To determine what one quantity is as a percentage of another
33 Percentages Calculating Percentages and Fractions of Quantities
Objective: To find percentages and fractions of quantities and solve problems with percentages
34 Fractions Mixed numerals
Objective: To name and recognise mixed numerals
35 Fractions Adding and subtracting fractions with the same denominator
Objective: To add and subtract fractions with the same denominator
36 Fractions Improper fractions
Objective: To use diagrams and number lines to recognise and represent mixed numerals and improper fractions
37 Fractions Comparing and ordering fractions greater than 1
Objective: To use diagrams, number lines and equivalent fractions to compare and order fractions greater than 1
38 Fractions Adding and subtracting fractions with different denominators
Objective: To add fractions with different denominators and the answer is less than 1
39 Fractions Multiplying fractions by whole numbers
Objective: To multiply common fractions by whole numbers
40 Fractions Fractions of whole numbers
Objective: To find fractions of whole numbers
41 Fractions Multiplying and dividing to obtain equivalent fractions.
Objective: To find equivalent fractions using multiplication or division.
42 Fractions Reducing fractions to lowest equivalent form
Objective: To reduce a fraction to its lowest form
43 Fractions Multiplying fractions
Objective: To multiply fractions and reduce the answer to its lowest form
44 Fractions Multiplying mixed numbers
Objective: To multiply mixed numbers and reduce the answer to its lowest form
45 Fractions Finding reciprocals of fractions and mixed numbers
Objective: To find the reciprocals of fractions and mixed numbers
46 Fractions Dividing fractions
Objective: To divide fractions by other fractions
47 Fractions Dividing mixed numbers
Objective: To divide mixed numbers
48 Fractions BODMAS
Objective: To calculate answers for fraction and mixed number questions using BODMAS
49 Space Recognise and name prisms according to spatial properties
Objective: To name prisms according to the shape of the base
50 Space Recognise and name pyramids according to spatial properties
Objective: To name pyramids according to the shape of the base
51 Measurement – Area Introducing 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
52 Measurement – Area Finding the Area of a Triangle and Other Composite Shapes
Objective: To calculate the area of triangles and measure and calculate composite shape area
53 Measurement – Area Larger Areas: Square Metre, Hectare, Square Kilometre
Objective: To calculate areas in square centimetres, square metres, square kilometres and hectares and convert one to another
54 Measurement – Capacity The 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
55 Measurement – Capacity Converting between volume and capacity using kiloliters and liters
Objective: To know the formal units of measurement for volume and capacity for bigger objects
56 Measurement – Capacity Estimate, measure and compare the capacity of containers
Objective: To understand estimation and a way to go about it
57 Measurement – Volume Introducing the Formula for Volume
Objective: To calculate the volume of rectangular prisms using V=l x b x h
58 Measurement – Volume Using the Cubic Metre to Measure Volume
Objective: To calculate the volume of rectangular prisms in cubic metres
59 Measurement – Volume Solving Problems about Volume Part 1
Objective: To solve volume problems using same and mixed units of length
60 Measurement – Volume Solving Problems about Volume Part 2
Objective: To solve volume problems involving larger objects
61 Measurement – Capacity Converting between volume and capacity using milliliters and liters
Objective: To solve capacity problems involving mixed dimensional units
62 Measurement – Mass The Tonne
Objective: To convert kg to tonnes and solve problems involving heavy masses
63 Problem solving Sign Words
Objective: To recognise words and phrases that correspond to + – x and /
64 Problem solving Problem Solving Strategies
Objective: To review problem solving words and an effective problem solving approach
65 Problem solving Word Problems with Numbers
Objective: To solve number word problems using + – x and /
66 Problem solving Word Problems with Money
Objective: To solve money word problems using + – x and /
67 Problem solving Word Problems with Length
Objective: To solve length word problems using + – x and /
68 Problem solving Word Problems with Mass
Objective: To solve mass word problems using + – x and /
69 Problem solving Word Problems with Area
Objective: To solve area word problems using + – x and /
70 Problem solving Word Problems with Volume/Capacity
Objective: To solve volume and capacity word problems using + – x and /
71 Time Average speed
Objective: To understand what is meant by the speed and average speed of an object and read the instantaneous speed of a vehicle on a speedometer
72 Geometry part 1 Measuring Angles
Objective: To use a protractor to measure angles and identify angles as acute, obtuse or reflex
73 Geometry part 1 Quadrilaterals
Objective: To use the angle sum of a quadrilateral to calculate unknown angles
74 Indices/Exponents Adding indices when multiplying terms with the same base
Objective: To add indices when multiplying powers that have the same base
75 Indices/Exponents Subtracting indices when dividing terms with the same base
Objective: To subtract indices when dividing powers of the same base
76 Indices/Exponents Terms raised to the power of zero
Objective: To evaluate expressions where quantities are raised to the power 0
77 Indices/Exponents Negative Indices
Objective: To evaluate or simplify expressions containing negative indices
78 Standard/Scientific notation Scientific notation with larger numbers
Objective: To write large numbers in standard or scientific notation
79 Standard/Scientific notation Scientific notation with small numbers
Objective: To write small numbers in standard or scientific notation
80 Standard/Scientific notation Changing scientific notation to numerals
Objective: To interpret scientific notation by writing in base 10 numerals
81 Statistics part 1 Frequency distribution table
Objective: To construct a frequency distribution table for raw data and to interpret the table
82 Statistics part 1 Frequency histograms and polygons
Objective: To construct and interpret frequency histograms and polygons
83 Statistics part 1 The Range
Objective: To determine the range of data in either raw form or in a frequency distribution table
84 Statistics part 1 The Mode
Objective: To find the mode from raw data and from a frequency distribution table
85 Statistics part 1 The Mean
Objective: To calculate means from raw data and from a frequency table using an fx column
86 Statistics part 1 The Median
Objective: To determine the median of a set of raw scores
87 Probability Simple events
Objective: To find the probability of events using sample space and event set (E) and P(E) = n(E)/n(S)
88 Probability Experimental probability
Objective: To find the experimental probabilities of an experimental trial
89 Algebra – Basic Algebraic Expressions
Objective: To simplify numerical expressions and simplify and expand algebraic expressions
90 Algebra – Basic Substitution into Algebraic Expressions
Objective: To evaluate simple algebraic expressions using whole numbers, fractions and decimals
91 Algebra – Basic Directed Numbers: Addition and Subtraction
Objective: To add/subtract numbers using a number line – first number and answer can be negative
92 Algebra – Basic Directed Numbers: Multiplication and Division
Objective: To multiply and divide directed numbers and evaluate powers of directed numbers
93 Algebra – Basic Simplifying Algebraic Expressions: Adding Like Terms
Objective: To simplify numeric and algebraic addition expressions by collecting like terms
94 Algebra – Basic Simplifying Algebraic Expressions: Subtracting Like Terms
Objective: To simplify algebraic subtractions by collecting like terms
95 Algebra – Basic Simplifying Algebraic Expressions: Combining Addition and Subtraction
Objective: To simplify expressions containing addition and subtraction and two unlike terms
96 Algebra – Basic Simplifying Algebraic Expressions: Multiplication
Objective: To simplify algebraic products using (but not stating) the commutative law
97 Algebra – Basic Simplifying Algebraic Expressions: Division
Objective: To divide algebraic terms where the divisor is a factor of the dividend
98 Algebra – Basic Expanding Algebraic Expressions: multiplication
Objective: To remove grouping symbols from an expression where the multiplier is monomial
99 Algebra – Basic Expanding Algebraic Expressions: Negative multiplier
Objective: To expand parentheses when there is a negative multiplier
100 Algebra – Basic Expanding and simplifying algebraic expressions
Objective: To expand and simplify algebraic expressions involving grouping symbols
101 Algebra – Basic Solving Equations containing Addition and Subtraction
Objective: To solve one-step equations involving addition or subtraction
102 Algebra – Basic Solving Equations containing Multiplication and Division
Objective: To solve one-step equations involving multiplication or division
103 Algebra – Basic Solving Two-Step Equations
Objective: To solve two-step equations without division in the initial problem
104 Absolute value Evaluating Absolute Value Expressions
Objective: To evaluate numeric and algebraic expressions involving absolute value
105 Pythagoras Pythagoras’ Theorem: Finding the Hypotenuse
Objective: To calculate the length of a hypotenuse using Pythagoras’ Theorem
106 Pythagoras Using Pythagorean Triples to Identify Right Triangles
Objective: To identify right triangles by using Pythagorean Triples or Pythagoras’ Theorem
107 Pythagoras Calculating the Hypotenuse of a right-angled Triangle
Objective: To calculate the length of a hypotenuse where lengths are given as surds or decimals
108 Pythagoras Calculating a Leg of a right-angled Triangle
Objective: To calculate the length of sides other than the hypotenuse using Pythagoras’ Theorem
109 Measurement – Advanced area Area of a Trapezium
Objective: To calculate the area of trapezia using A=(h/2)(a+b)
110 Measurement – Advanced area Area of a Rhombus
Objective: To calculate the area of a rhombus using diagonal products
111 Measurement – Advanced area Area of a Circle
Objective: To calculate the area of circles and sectors and to solve circle problems
112 Measurement – Advanced area Area of Regular Polygons and Composite Figures
Objective: To calculate area of composite figures and solve problems using correct formulae
113 Measurement – Advanced volume Finding the volume of prisms
Objective: To calculate the volume of prisms using V=Ah and solve volume problems
114 Surface area Surface Area of a Cube/Rectangular Prism
Objective: To calculate the surface area of cubes and rectangular prisms
115 Exam Exam – Grade 7
Objective: Exam
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Grade 8 Mathematics

# TOPIC TITLE
1 Study Plan Study plan – Grade 8
Objective: On completion of the course formative assessment a tailored study plan is created identifying the lessons requiring revision.
2 Percentages One Quantity as a Percentage of Another
Objective: To determine what one quantity is as a percentage of another
3 Percentages Calculating Percentages and Fractions of Quantities
Objective: To find percentages and fractions of quantities and solve problems with percentages
4 Indices/Exponents Adding indices when multiplying terms with the same base
Objective: To add indices when multiplying powers that have the same base
5 Indices/Exponents Subtracting indices when dividing terms with the same base
Objective: To subtract indices when dividing powers of the same base
6 Indices/Exponents Terms raised to the power of zero
Objective: To evaluate expressions where quantities are raised to the power 0
7 Indices/Exponents Negative Indices
Objective: To evaluate or simplify expressions containing negative indices
8 Indices/Exponents Fractional Indices
Objective: To evaluate or simplify expressions containing fractional indices
9 Indices/Exponents Complex fractions as indices
Objective: To evaluate or simplify expressions containing complex fractional indices and radicals
10 Standard/Scientific notation Scientific notation with larger numbers
Objective: To write large numbers in standard or scientific notation
11 Standard/Scientific notation Scientific notation with small numbers
Objective: To write small numbers in standard or scientific notation
12 Standard/Scientific notation Changing scientific notation to numerals
Objective: To interpret scientific notation by writing in base 10 numerals
13 Algebra – Basic Simplifying Algebraic Expressions: Combining Addition and Subtraction
Objective: To simplify expressions containing addition and subtraction and two unlike terms
14 Algebra – Basic Simplifying Algebraic Expressions: Multiplication
Objective: To simplify algebraic products using (but not stating) the commutative law
15 Algebra – Basic Simplifying Algebraic Expressions: Division
Objective: To divide algebraic terms where the divisor is a factor of the dividend
16 Algebra – Basic Expanding Algebraic Expressions: multiplication
Objective: To remove grouping symbols from an expression where the multiplier is monomial
17 Algebra – Basic Expanding Algebraic Expressions: Negative multiplier
Objective: To expand parentheses when there is a negative multiplier
18 Algebra – Basic Expanding and simplifying algebraic expressions
Objective: To expand and simplify algebraic expressions involving grouping symbols
19 Algebra – Basic Solving Equations containing Addition and Subtraction
Objective: To solve one-step equations involving addition or subtraction
20 Algebra – Basic Solving Equations containing Multiplication and Division
Objective: To solve one-step equations involving multiplication or division
21 Algebra – Basic Solving Two-Step Equations
Objective: To solve two-step equations without division in the initial problem
22 Statistics part 1 Frequency distribution table
Objective: To construct a frequency distribution table for raw data and to interpret the table
23 Statistics part 1 Frequency histograms and polygons
Objective: To construct and interpret frequency histograms and polygons
24 Statistics part 1 The Range
Objective: To determine the range of data in either raw form or in a frequency distribution table
25 Statistics part 1 The Mode
Objective: To find the mode from raw data and from a frequency distribution table
26 Statistics part 1 The Mean
Objective: To calculate means from raw data and from a frequency table using an fx column
27 Statistics part 1 The Median
Objective: To determine the median of a set of raw scores
28 Probability Simple events
Objective: To find the probability of events using sample space and event set (E) and P(E) = n(E)/n(S)
29 Probability Experimental probability
Objective: To find the experimental probabilities of an experimental trial
30 Pythagoras Pythagoras’ Theorem: Finding the Hypotenuse
Objective: To calculate the length of a hypotenuse using Pythagoras’ Theorem
31 Pythagoras Using Pythagorean Triples to Identify Right Triangles
Objective: To identify right triangles by using Pythagorean Triples or Pythagoras’ Theorem
32 Pythagoras Calculating the Hypotenuse of a right-angled Triangle
Objective: To calculate the length of a hypotenuse where lengths are given as surds or decimals
33 Pythagoras Calculating a Leg of a right-angled Triangle
Objective: To calculate the length of sides other than the hypotenuse using Pythagoras’ Theorem
34 Geometry part 1 Adjacent Angles
Objective: To recognise and calculate the size of adjacent angles
35 Geometry part 1 Complementary and Supplementary Angles
Objective: To recognise and calculate the size of complementary and supplementary angles
36 Geometry part 1 Vertically Opposite Angles
Objective: To determine values of pronumerals in vertically opposite angles
37 Geometry part 1 Angles at a Point
Objective: To use angles at a point to calculate unknown angles
38 Geometry part 1 Parallel Lines
Objective: To identify angle pairs and calculate angles formed by a transversal and parallel lines
39 Geometry part 1 Additional questions involving parallel lines
Objective: To determine angle magnitude for angles formed by parallel lines and transversals
40 Geometry part 1 Geometric Constructions
Objective: To bisect a line, bisect an angle and construct a perpendicular using a compass and ruler
41 Geometry part 3 Angles
Objective: To label and classify angles and calculate pronumeral values within angles
42 Geometry part 3 Angle Bisector Construction and its Properties
Objective: To geometrically bisect angles and calculate angle size given bisection
43 Matrices Special Transformations: Reflections, Rotations and Enlargements
Objective: To reflect, rotate and enlarge geometric shapes using matrix multiplication
44 Co-ordinate geometry part 1 The Gradient
Objective: To find the gradient of a line given its angle of inclination or given rise and run
45 Co-ordinate geometry part 1 The Gradient Formula
Objective: To use the gradient formula to find the gradient of straight lines
46 Co-ordinate geometry part 1 The Straight Line
Objective: To state the equation of lines parallel to the axes and to graph equations x = a and y = b
47 Co-ordinate geometry part 1 Lines Through the Origin
Objective: To state the equation of lines passing through the origin and to graph y = mx
48 Co-ordinate geometry part 1 General 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
49 Co-ordinate geometry part 1 Slope Intercept Form of a Line
Objective: To change equation to slope intercept form and graph it and to find equation given graph
50 Co-ordinate geometry part 1 Point 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)
51 Algebra – Basic Inequalities
Objective: To solve algebraic inequalities requiring (at times) change of direction of inequality sign
52 Co-ordinate geometry part 2 Inequalities on the Number Plane
Objective: To identify the graph which matches a given inequality
53 Logic Inductive and Deductive Reasoning
Objective: To identify and use inductive and deductive reasoning
54 Function Functions and Relations: domain and range
Objective: To identify and represent functions and relations
55 Function Function Notation
Objective: To write and evaluate functions using function notation
56 Algebra – Products and factors Binomial Products
Objective: To expand and simplify monic binomial products of the form (x + a)(x +/- b)
57 Algebra – Products and factors Binomial products with negative multiplier
Objective: To expand and simplify monic binomial products of the form (x – a)(x +/- b)
58 Algebra – Products and factors Binomial Products (nonmonic)
Objective: To expand and simplify nonmonic binomial products
59 Algebra – Products and factors Squaring a Binomial (monic)
Objective: To expand the square of a binomial by multiplication and by inspection
60 Algebra – Products and factors Squaring a Binomial (nonmonic)
Objective: To expand the square of a nonmonic binomial by inspection
61 Algebra – Products and factors Expansions Leading to the Difference of Two Squares
Objective: To expand the product of conjugate binomials leading to differences of squares
62 Algebra – Products and factors Products in Simplification of Algebraic Expressions
Objective: To simplify algebraic expressions containing binomial products
63 Algebra – Products and factors Larger Expansions
Objective: To expand and simplify the product of a binomial and a trinomial
64 Algebra – Products and factors Highest Common Factor
Objective: To factorise an expression by identifying and extracting the highest common factor
65 Algebra – Products and factors Factors by Grouping
Objective: To factorise a four-term expression by grouping
66 Algebra – Products and factors Difference of Two Squares
Objective: To factorise differences of two squares
67 Algebra – Products and factors Common 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.
68 Algebra – Products and factors Quadratic Trinomials (monic): Case 1
Objective: On completion of the lesson the student will understand the factorization of quadratic trinomial equations with all terms positive.
69 Algebra – Products and factors Quadratic Trinomials (monic): Case 2
Objective: On completion of the lesson the student will accurately identify the process if the middle term of a quadratic trinomial is negative.
70 Algebra – Products and factors Quadratic 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.
71 Algebra – Products and factors Quadratic 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.
72 Algebra – Products and factors Factorisation of nonmonic quadratic trinomials
Objective: To factorise nonmonic quadratic trinomials using the ‘X’ method
73 Algebra – Products and factors Factorisation of nonmonic quadratic trinomials: Moon method
Objective: To factorise nonmonic quadratic trinomials using the ‘Moon’ method
74 Measurement – Advanced volume Volume of a Cylinder and Sphere
Objective: To solve problems and calculate volumes of cylinders and spheres and parts of each
75 Measurement – Advanced volume Volume of Pyramids and Cones
Objective: To calculate the volumes of pyramids and cones
76 Measurement – Advanced volume Composite Solids
Objective: To calculate the volume of composite figures using appropriate formulae
77 Surface area Surface Area of a Triangular/Trapezoidal Prism
Objective: To calculate the surface area of triangular and trapezoidal prisms
78 Surface area Surface Area of a Cylinder and Sphere
Objective: To calculate the surface area of cylinders and spheres
79 Exam Exam – Grade 8
Objective: Exam
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Grade 9/10 - Integrated Algebra Mathematics

# TOPIC TITLE
1 Study Plan Study plan – Grades 9/10 – Integrated Algebra
Objective: On completion of the course formative assessment a tailored study plan is created identifying the lessons requiring revision.
2 Number sets Number Sets and Their Members
Objective: To distinguish between number sets and identify elements and subsets of number sets
3 Number sets Addition and Multiplication Properties for Real Numbers
Objective: To identify and name addition and multiplication properties for real numbers
4 Number sets Transformations That Produce Equivalent Equations
Objective: To name properties of equality used to create equivalent equations and solve equations
5 Algebra – Basic Algebraic Expressions
Objective: To simplify numerical expressions and simplify and expand algebraic expressions
6 Algebra – Basic Substitution into Algebraic Expressions
Objective: To evaluate simple algebraic expressions using whole numbers, fractions and decimals
7 Algebra – Basic Directed Numbers: Addition and Subtraction
Objective: To add/subtract numbers using a number line – first number and answer can be negative
8 Algebra – Basic Directed Numbers: Multiplication and Division
Objective: To multiply and divide directed numbers and evaluate powers of directed numbers
9 Algebra – Basic Simplifying Algebraic Expressions: Adding Like Terms
Objective: To simplify numeric and algebraic addition expressions by collecting like terms
10 Algebra – Basic Simplifying Algebraic Expressions: Subtracting Like Terms
Objective: To simplify algebraic subtractions by collecting like terms
11 Algebra – Basic Simplifying Algebraic Expressions: Combining Addition and Subtraction
Objective: To simplify expressions containing addition and subtraction and two unlike terms
12 Algebra – Basic Simplifying Algebraic Expressions: Multiplication
Objective: To simplify algebraic products using (but not stating) the commutative law
13 Algebra – Basic Simplifying Algebraic Expressions: Division
Objective: To divide algebraic terms where the divisor is a factor of the dividend
14 Algebra – Basic Expanding Algebraic Expressions: multiplication
Objective: To remove grouping symbols from an expression where the multiplier is monomial
15 Algebra – Basic Expanding Algebraic Expressions: Negative multiplier
Objective: To expand parentheses when there is a negative multiplier
16 Algebra – Basic Expanding and simplifying algebraic expressions
Objective: To expand and simplify algebraic expressions involving grouping symbols
17 Algebra – Basic Solving Equations containing Addition and Subtraction
Objective: To solve one-step equations involving addition or subtraction
18 Algebra – Basic Solving Equations containing Multiplication and Division
Objective: To solve one-step equations involving multiplication or division
19 Algebra – Basic Solving Two-Step Equations
Objective: To solve two-step equations without division in the initial problem
20 Algebra – Basic Solving Equations Containing Binomial Expressions
Objective: To solve equations with binomial expressions on each side
21 Algebra – Basic Equations involving Grouping Symbols
Objective: To solve equations containing grouping symbols on each side
22 Algebra – Basic Equations involving fractions
Objective: To solve fraction equations with the unknown in either the numerator or denominator
23 Algebra – Basic Equations Resulting from Substitution into Formulae
Objective: To solve equations created by substituting values into formulae
24 Algebra – Basic Changing the Subject of the Formula
Objective: To change the subject of algebraic formulae using equation-solving techniques
25 Algebra – Basic Inequalities
Objective: To solve algebraic inequalities requiring (at times) change of direction of inequality sign
26 Algebra – Basic Simplifying easy algebraic fractions
Objective: To simplify simple algebraic fractions using cancellation of common factors
27 Algebra – Basic Simplifying algebraic fractions using the Index Laws
Objective: To use the index laws for division to simplify algebraic fractions
28 Algebra – Basic Algebraic fractions resulting in negative Indices
Objective: To simplify algebraic fractions using negative indices (as required) in the answer
29 Algebra – Basic Factorisation of algebraic fractions including binomials
Objective: To simplify algebraic fractions requiring the factorisation of binomial expressions
30 Algebra – Basic Cancelling binomial factors in algebraic fractions
Objective: To simplify algebraic fractions with binomials in both the numerator and denominator
31 Absolute value Evaluating Absolute Value Expressions
Objective: To evaluate numeric and algebraic expressions involving absolute value
32 Absolute value Solving Absolute Value Equations
Objective: To solve equations involving absolute values
33 Absolute value Solving and Graphing Inequalities
Objective: To graph the solution set of absolute value inequalities
34 Graphs part 1 The parabola: to describe properties of a parabola from its equation
Objective: To describe properties of a parabola from its equation and sketch the parabola
35 Graphs part 1 Quadratic Polynomials of the form y = ax^2 + bx + c
Objective: To describe and sketch parabolas of the form y = x^2 + bx + c
36 Graphs part 1 Graphing perfect squares: y=(a-x) squared
Objective: To describe and sketch parabolas of the form y = (x – a)^2
37 Surds/Radicals Introducing surds
Objective: To recognise and simplify numerical expressions involving surds
38 Surds/Radicals Some rules for the operations with surds
Objective: To learn rules for the division and multiplication of surds
39 Surds/Radicals Simplifying Surds
Objective: To simplify numerical expressions and solve equations involving surds
40 Surds/Radicals Creating entire surds
Objective: To write numbers as entire surds and compare numbers by writing as entire surds
41 Surds/Radicals Adding and subtracting like surds
Objective: To add and subtract surds and simplify expressions by collecting like surds
42 Surds/Radicals Expanding surds
Objective: To expand and simplify binomial expressions involving surds
43 Surds/Radicals Binomial expansions
Objective: To expand and simplify the squares of binomial sums and differences involving surds
44 Surds/Radicals Conjugate binomials with surds
Objective: To expand and simplify products of conjugate binomial expressions
45 Surds/Radicals Rationalising the denominator
Objective: To rationalise the denominator of a fraction where the denominator is a monomial surd
46 Surds/Radicals Rationalising binomial denominators
Objective: To rationalise the denominator of a fraction when the denominator is a binomial with surds
47 Indices/Exponents Adding indices when multiplying terms with the same base
Objective: To add indices when multiplying powers that have the same base
48 Indices/Exponents Subtracting indices when dividing terms with the same base
Objective: To subtract indices when dividing powers of the same base
49 Indices/Exponents Multiplying indices when raising a power to a power
Objective: To multiply indices when raising a power to a power
50 Indices/Exponents Multiplying indices when raising to more than one term
Objective: To raise power products to a power
51 Indices/Exponents Terms raised to the power of zero
Objective: To evaluate expressions where quantities are raised to the power 0
52 Indices/Exponents Negative Indices
Objective: To evaluate or simplify expressions containing negative indices
53 Indices/Exponents Fractional Indices
Objective: To evaluate or simplify expressions containing fractional indices
54 Indices/Exponents Complex fractions as indices
Objective: To evaluate or simplify expressions containing complex fractional indices and radicals
55 Standard/Scientific notation Scientific notation with larger numbers
Objective: To write large numbers in standard or scientific notation
56 Standard/Scientific notation Scientific notation with small numbers
Objective: To write small numbers in standard or scientific notation
57 Standard/Scientific notation Changing scientific notation to numerals
Objective: To interpret scientific notation by writing in base 10 numerals
58 Standard/Scientific notation Significant Figures
Objective: To write a number to a specified number of significant figures
59 Fractions Multiplying fractions
Objective: To multiply fractions and reduce the answer to its lowest form
60 Fractions Multiplying mixed numbers
Objective: To multiply mixed numbers and reduce the answer to its lowest form
61 Fractions Finding reciprocals of fractions and mixed numbers
Objective: To find the reciprocals of fractions and mixed numbers
62 Fractions Dividing fractions
Objective: To divide fractions by other fractions
63 Fractions Dividing mixed numbers
Objective: To divide mixed numbers
64 Fractions BODMAS
Objective: To calculate answers for fraction and mixed number questions using BODMAS
65 Percentages Calculating Percentages and Fractions of Quantities
Objective: To find percentages and fractions of quantities and solve problems with percentages
66 Percentages Understanding percentages
Objective: To recognise the percentage symbol and relate a common percentage to a fraction
67 Percentages Changing fractions and decimals to percentages tenths and hundredths
Objective: To represent fractions and decimals as percentages
68 Percentages Changing percentages to fractions and decimals
Objective: To change percentages to fractions and decimals
69 Percentages One Quantity as a Percentage of Another
Objective: To determine what one quantity is as a percentage of another
70 Probability Simple events
Objective: To find the probability of events using sample space and event set (E) and P(E) = n(E)/n(S)
71 Probability Rolling a pair of dice
Objective: To find the probability of selected events when two dice are rolled
72 Probability Experimental probability
Objective: To find the experimental probabilities of an experimental trial
73 Probability Experimental probability
Objective: To use tree diagrams to determine sample spaces and compound probabilities
74 Probability Tree diagrams: depending on previous outcomes
Objective: To use tree diagrams where the probability is dependent on previous outcomes
75 Probability The Complementary Result
Objective: To calculate the probability of complementary events using P(E) = 1 – P(not E)
76 Probability P[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)
77 Probability The Binomial Theorem and Binomial Coefficients
Objective: To calculate binomial coefficients and expand binomial powers.
78 Probability Binomial probabilities using the Binomial Theorem
Objective: To calculate the binomial probability of a given number of successful trials
79 Probability Counting techniques and ordered selections
Objective: To use counting techniques in probability
80 Simultaneous equations Simultaneous Equations
Objective: To solve simultaneous equations by substitution
81 Simultaneous equations Elimination method
Objective: To solve simultaneous equations by elimination
82 Simultaneous equations Elimination method part 2
Objective: To solve more difficult simultaneous equations by elimination
83 Simultaneous equations Applications of simultaneous equations
Objective: To solve problems using simultaneous equations
84 Graphs part 1 Graphing irrational roots
Objective: To determine the vertex (using -b/2a), and other derived properties, to sketch a parabola
85 Graphs part 1 Solving Simultaneous Equations graphically
Objective: To solve simultaneous equations graphically
86 Algebra – Products and factors Binomial Products
Objective: To expand and simplify monic binomial products of the form (x + a)(x +/- b)
87 Algebra – Products and factors Binomial products with negative multiplier
Objective: To expand and simplify monic binomial products of the form (x – a)(x +/- b)
88 Algebra – Products and factors Binomial Products (nonmonic)
Objective: To expand and simplify nonmonic binomial products
89 Algebra – Products and factors Squaring a Binomial (monic)
Objective: To expand the square of a binomial by multiplication and by inspection
90 Algebra – Products and factors Squaring a Binomial (nonmonic)
Objective: To expand the square of a nonmonic binomial by inspection
91 Algebra – Products and factors Expansions Leading to the Difference of Two Squares
Objective: To expand the product of conjugate binomials leading to differences of squares
92 Algebra – Products and factors Products in Simplification of Algebraic Expressions
Objective: To simplify algebraic expressions containing binomial products
93 Algebra – Products and factors Larger Expansions
Objective: To expand and simplify the product of a binomial and a trinomial
94 Algebra – Products and factors Highest Common Factor
Objective: To factorise an expression by identifying and extracting the highest common factor
95 Algebra – Products and factors Factors by Grouping
Objective: To factorise a four-term expression by grouping
96 Algebra – Products and factors Difference of Two Squares
Objective: To factorise differences of two squares
97 Algebra – Products and factors Common 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.
98 Algebra – Products and factors Quadratic Trinomials (monic): Case 1
Objective: On completion of the lesson the student will understand the factorization of quadratic trinomial equations with all terms positive.
99 Algebra – Products and factors Quadratic Trinomials (monic): Case 2
Objective: On completion of the lesson the student will accurately identify the process if the middle term of a quadratic trinomial is negative.
100 Algebra – Products and factors Quadratic 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.
101 Algebra – Products and factors Quadratic 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.
102 Algebra – Products and factors Factorisation of nonmonic quadratic trinomials
Objective: To factorise nonmonic quadratic trinomials using the ‘X’ method
103 Algebra – Products and factors Factorisation of nonmonic quadratic trinomials: Moon method
Objective: To factorise nonmonic quadratic trinomials using the ‘Moon’ method
104 Algebra – Quadratic equations Introduction to Quadratic Equations
Objective: To find the solutions of quadratic equations presented as a product of factors
105 Algebra – Quadratic equations Solving Quadratic Equations with Factorisation
Objective: To solve quadratic equations requiring factorisation
106 Algebra – Quadratic equations Solving Quadratic Equations
Objective: To solve quadratic equations that need to be changed into the form ax^2 + bx + c = 0
107 Algebra – Quadratic equations Completing the square
Objective: To complete an incomplete square
108 Algebra – Quadratic equations Solving Quadratic Equations by Completing the Square
Objective: To solve quadratic equations by completing the square
109 Algebra – Quadratic equations The Quadratic Formula
Objective: To find the roots of a quadratic equation by using the quadratic formula
110 Algebra – Quadratic equations Problem solving with quadratic equations
Objective: To solve problems which require finding the roots of a quadratic equation
111 Algebra – Quadratic equations Solving Simultaneous Quadratic Equations Graphically
Objective: To determine points of intersection of quadratic and linear equations
112 Logarithms Powers of 2
Objective: To convert between logarithm statements and indice statements
113 Graphs part 2 The Exponential Function
Objective: To graph exponential curves whose exponents are either positive or negative
114 Function Functions and Relations: domain and range
Objective: To identify and represent functions and relations
115 Function Function Notation
Objective: To write and evaluate functions using function notation
116 Function Selecting Appropriate Domain and Range
Objective: To determine appropriate domains for functions
117 Function Domain and Range from Graphical Representations
Objective: To determine the range of a function from its graphical representation
118 Function Evaluating and Graphing Piecewise Functions
Objective: To evaluate and graph piecewise functions
119 Function Combining Functions
Objective: To determine the resultant function after functions have been combined by plus, minus, times and divide
120 Function Simplifying Composite Functions
Objective: To simplify, evaluate and determine the domain of composite functions
121 Function Inverse Functions
Objective: To find the inverse of a function and determine whether this inverse is itself a function
122 Function Graphing Rational Functions Part 1
Objective: To determine asymptotes and graph rational functions using intercepts and asymptotes
123 Function Graphing Rational Functions Part 2
Objective: To determine asymptotes and graph rational functions
124 Function Polynomial Addition: in Combining and Simplifying Functions
Objective: To evaluate, simplify and graph rational functions
125 Co-ordinate geometry part 1 The Distance Formula
Objective: To use the distance formula to calculate the lengths of lines and distances
126 Co-ordinate geometry part 1 The Mid-Point Formula
Objective: To determine the mid-point of an interval using the mid-point formula
127 Co-ordinate geometry part 1 The Gradient
Objective: To find the gradient of a line given its angle of inclination or given rise and run
128 Co-ordinate geometry part 1 The Gradient Formula
Objective: To use the gradient formula to find the gradient of straight lines
129 Co-ordinate geometry part 1 The Straight Line
Objective: To state the equation of lines parallel to the axes and to graph equations x = a and y = b
130 Co-ordinate geometry part 1 Lines Through the Origin
Objective: To state the equation of lines passing through the origin and to graph y = mx
131 Co-ordinate geometry part 1 General 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
132 Co-ordinate geometry part 1 Slope Intercept Form of a Line
Objective: To change equation to slope intercept form and graph it and to find equation given graph
133 Co-ordinate geometry part 1 Point 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)
134 Co-ordinate geometry part 2 Two 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
135 Co-ordinate geometry part 2 Intercept 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
136 Co-ordinate geometry part 2 Parallel 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
137 Co-ordinate geometry part 2 Perpendicular Lines
Objective: To identify the equation of a line that is perpendicular to a given linear equation
138 Co-ordinate geometry part 2 Inequalities on the Number Plane
Objective: To identify the graph which matches a given inequality
139 Pythagoras Pythagoras’ Theorem: Finding the Hypotenuse
Objective: To calculate the length of a hypotenuse using Pythagoras’ Theorem
140 Pythagoras Using Pythagorean Triples to Identify Right Triangles
Objective: To identify right triangles by using Pythagorean Triples or Pythagoras’ Theorem
141 Pythagoras Calculating the Hypotenuse of a right-angled Triangle
Objective: To calculate the length of a hypotenuse where lengths are given as surds or decimals
142 Pythagoras Calculating a Leg of a right-angled Triangle
Objective: To calculate the length of sides other than the hypotenuse using Pythagoras’ Theorem
143 Pythagoras Proofs of Pythagoras’ Theorem
Objective: To examine and complete proofs of Pythagoras’ Theorem
144 Trigonometry part 1 Trigonometric Ratios
Objective: To name the sides of a right-angled triangle and to determine the trig ratios of an angle
145 Trigonometry part 1 Using the Calculator
Objective: To determine trigonometric ratios using a calculator
146 Trigonometry part 1 Using 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
147 Trigonometry part 1 Using 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
148 Trigonometry part 1 Using 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
149 Trigonometry part 1 Unknown in the Denominator [Case 4]
Objective: To use trigonometry to find sides of a right-angled triangle and the Unknown in denominator
150 Trigonometry part 1 Bearings: The Compass
Objective: To change from true bearings to compass bearings and vice versa
151 Trigonometry part 1 Angles of Elevation and Depression
Objective: To identify and distinguish between angles of depression and elevation
152 Trigonometry part 1 Trigonometric Ratios in Practical Situations
Objective: To solve problems involving bearings and angles of elevation and depression
153 Trigonometry part 1 Using the Calculator to Find an Angle Given a Trigonometric Ratio
Objective: To find angles in right-angled triangles given trigonometric ratios
154 Trigonometry part 1 Using 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
155 Trigonometry part 1 Trigonometric 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
156 Measurement – Advanced area Area of a Trapezium
Objective: To calculate the area of trapezia using A=(h/2)(a+b)
157 Measurement – Advanced area Area of a Rhombus
Objective: To calculate the area of a rhombus using diagonal products
158 Measurement – Advanced area Area of a Circle
Objective: To calculate the area of circles and sectors and to solve circle problems
159 Measurement – Advanced area Area of Regular Polygons and Composite Figures
Objective: To calculate area of composite figures and solve problems using correct formulae
160 Surface area Surface Area of a Cube/Rectangular Prism
Objective: To calculate the surface area of cubes and rectangular prisms
161 Surface area Surface Area of a Triangular/Trapezoidal Prism
Objective: To calculate the surface area of triangular and trapezoidal prisms
162 Surface area Surface Area of a Cylinder and Sphere
Objective: To calculate the surface area of cylinders and spheres
163 Surface area Surface Area of Pyramids
Objective: To calculate the surface area of pyramids
164 Surface area Surface Area of Composite Solids
Objective: To calculate the surface area of composite solids
165 Surface area Surface area of composite solids
Objective: On completion of the lesson the student will be able to find the surface areas of Composite solids.
166 Measurement – Advanced volume Volume of a Cylinder and Sphere
Objective: To solve problems and calculate volumes of cylinders and spheres and parts of each
167 Measurement – Advanced volume Volume of Pyramids and Cones
Objective: To calculate the volumes of pyramids and cones
168 Measurement – Advanced volume Composite Solids
Objective: To calculate the volume of composite figures using appropriate formulae
169 Graphs part 2 Graphing complex polynomials: quadratics with no real roots
Objective: To graph quadratics that have no real roots, hence don’t cut the x-axis
170 Graphs part 2 General 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)
171 Graphs part 2 Graphing cubic curves
Objective: To graph cubic curves whose equation is of the form y = (x – a)^3 + b or y = (a – x)^3 + b
172 Graphs part 2 Absolute Value Equations
Objective: To graph equations involving absolute values
173 Graphs part 2 The Rectangular Hyperbola
Objective: To graph rectangular hyperbolae whose equations are of the form xy = a and y = a/x
174 Graphs part 2 Logarithmic Functions
Objective: To graph and describe log curves whose equations are of the form y = log (ax + b)
175 Geometry part 3 The Triangle Inequality Theorem
Objective: To use the triangle inequality theorem to determine constructability of triangles
176 Uniform motion The Speed Formula
Objective: To calculate speed, distance or time using speed = distance/time
177 Uniform motion Using Subscripted Variables
Objective: To use subscripted variables to solve motion problems
178 Uniform motion Uniform Motion With Equal Distances
Objective: To solve motion problems where distances are equal
179 Uniform motion Uniform Motion Adding the Distances
Objective: To solve motion problems where total distance travelled is given
180 Uniform motion Uniform Motion With Unequal Distances or Time
Objective: To solve motion problems where either distance or time are different
181 Uniform motion Uniform Motion Problems Where the Rate is Constant
Objective: To solve miscellaneous motion problems where the rate is constant
182 Statistics part 1 Frequency distribution table
Objective: To construct a frequency distribution table for raw data and to interpret the table
183 Statistics part 1 Frequency histograms and polygons
Objective: To construct and interpret frequency histograms and polygons
184 Statistics part 1 Relative Frequency
Objective: To extend the frequency distribution table to include a relative frequency column
185 Statistics part 1 The Range
Objective: To determine the range of data in either raw form or in a frequency distribution table
186 Statistics part 1 The Mode
Objective: To find the mode from raw data and from a frequency distribution table
187 Statistics part 1 The Mean
Objective: To calculate means from raw data and from a frequency table using an fx column
188 Statistics part 1 The Median
Objective: To determine the median of a set of raw scores
189 Statistics part 1 Cumulative Frequency
Objective: To construct cumulative frequency columns, histograms and polygons
190 Statistics part 1 Calculating the Mean from a Frequency Distribution
Objective: To determine averages (mean, median and mode) from cumulative frequency polygons
191 Matrices Vectors
Objective: To use vectors to find resultant speeds and displacements
192 Matrices – Linear systems Number of Solutions
Objective: To determine solutions to systems of equations
193 Matrices – Linear systems Vector Addition in 2 and 3D
Objective: To represent, add, subtract and determine the direction of vectors
194 Matrices – Linear systems Optimal Solutions
Objective: To use linear programming to maximise or minimise an objective function
195 Statistics part 2 Calculating mean, mode and median from grouped data
Objective: To identify class centres, get frequency counts and determine mean, mode and median values
196 Statistics part 2 Using the Calculator for Statistics
Objective: To find a mean, using a data set or a frequency distribution table and calculator.
197 Statistics part 2 Measures of Spread
Objective: To determine a range and use it in decision making
198 Statistics part 2 Standard deviation applications
Objective: To find a standard deviation, using a data set or a frequency distribution table and calculator
199 Statistics part 2 Applications of Standard Deviation
Objective: To use standard deviation as a measure of deviation from a mean
200 Statistics part 2 The Normal Distribution
Objective: To use the standard deviation of a normal distribution to find a percentage of scores within ranges
201 Statistics part 2 Measures of Spread: the interquartile range
Objective: To find the upper and lower quartiles and the interquartile range
202 Statistics part 1 Stem and Leaf Plots along with Box and Whisker Plots
Objective: To derive statistics from data represented as stem & leaf or box & whisker plots
203 Statistics part 1 The Scatter plot
Objective: To make a valid interpretation of data presented as a scatter plot
204 Exam Exam – Grades 9/10 – Integrated Algebra
Objective: Exam
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Grade 10/11 - Geometry Mathematics

# TOPIC TITLE
1 Study Plan Study plan – Grades 10/11 – Geometry
Objective: On completion of the course formative assessment a tailored study plan is created identifying the lessons requiring revision.
2 Measurement – Advanced area Area of a Trapezium
Objective: To calculate the area of trapezia using A=(h/2)(a+b)
3 Measurement – Advanced area Area of a Rhombus
Objective: To calculate the area of a rhombus using diagonal products
4 Measurement – Advanced area Area of a Circle
Objective: To calculate the area of circles and sectors and to solve circle problems
5 Measurement – Advanced area Area of Regular Polygons and Composite Figures
Objective: To calculate area of composite figures and solve problems using correct formulae
6 Measurement – Advanced volume Finding the volume of prisms
Objective: To calculate the volume of prisms using V=Ah and solve volume problems
7 Measurement – Advanced volume Volume of a Cylinder and Sphere
Objective: To solve problems and calculate volumes of cylinders and spheres and parts of each
8 Measurement – Advanced volume Volume of Pyramids and Cones
Objective: To calculate the volumes of pyramids and cones
9 Measurement – Advanced volume Composite Solids
Objective: To calculate the volume of composite figures using appropriate formulae
10 Surface area Surface Area of a Cube/Rectangular Prism
Objective: To calculate the surface area of cubes and rectangular prisms
11 Surface area Surface Area of a Triangular/Trapezoidal Prism
Objective: To calculate the surface area of triangular and trapezoidal prisms
12 Surface area Surface Area of a Cylinder and Sphere
Objective: To calculate the surface area of cylinders and spheres
13 Surface area Surface Area of Pyramids
Objective: To calculate the surface area of pyramids
14 Surface area Surface Area of Composite Solids
Objective: To calculate the surface area of composite solids
15 Surface area Surface area of composite solids
Objective: On completion of the lesson the student will be able to find the surface areas of Composite solids.
16 Algebra – Basic Equations Resulting from Substitution into Formulae
Objective: To solve equations created by substituting values into formulae
17 Algebra – Basic Changing the Subject of the Formula
Objective: To change the subject of algebraic formulae using equation-solving techniques
18 Geometry part 1 Measuring Angles
Objective: To use a protractor to measure angles and identify angles as acute, obtuse or reflex
19 Geometry part 1 Adjacent Angles
Objective: To recognise and calculate the size of adjacent angles
20 Geometry part 1 Complementary and Supplementary Angles
Objective: To recognise and calculate the size of complementary and supplementary angles
21 Geometry part 1 Vertically Opposite Angles
Objective: To determine values of pronumerals in vertically opposite angles
22 Geometry part 1 Angles at a Point
Objective: To use angles at a point to calculate unknown angles
23 Geometry part 1 Parallel Lines
Objective: To identify angle pairs and calculate angles formed by a transversal and parallel lines
24 Geometry part 1 Additional questions involving parallel lines
Objective: To determine angle magnitude for angles formed by parallel lines and transversals
25 Geometry part 1 Angle Sum of a Triangle
Objective: To use the angle sum for a triangle to calculate unknown angles
26 Geometry part 1 Exterior angle theorem
Objective: To use the external angle of a triangle theorem to calculate unknown angles
27 Geometry part 1 Special triangles
Objective: To use the properties of equilateral and isosceles triangles to calculate angle size
28 Geometry part 1 Quadrilaterals
Objective: To use the angle sum of a quadrilateral to calculate unknown angles
29 Geometry part 1 Geometric Constructions
Objective: To bisect a line, bisect an angle and construct a perpendicular using a compass and ruler
30 Geometry part 3 Points, Lines and Planes
Objective: To identify collinear points and coplanar lines and points in 2 and 3 dimensions
31 Geometry part 3 Angles
Objective: To label and classify angles and calculate pronumeral values within angles
32 Geometry part 3 Angle Bisector Construction and its Properties
Objective: To geometrically bisect angles and calculate angle size given bisection
33 Geometry part 3 Circumcenter and Incenter
Objective: To use properties of triangles, circles, circumcentres and incentres
34 Geometry part 3 Orthocentre and Centroids
Objective: To use properties of triangles, circles orthocentres and centroids
35 Geometry part 3 Midsegments
Objective: To determine midsegments, their length, slope and other properties
36 Quadrilaterals Quadrilaterals 1
Objective: To recognise, name and describe the properties of quadrilaterals
37 Quadrilaterals Properties of Parallelograms – Opposite Angles Equal
Objective: To prove and use ‘Opposite angles of a parallelogram are congruent’
38 Quadrilaterals Properties of Parallelograms – Diagonals, Sides and Angles
Objective: To prove parallelogram properties and calculate unknown angles and lengths
39 Quadrilaterals The Parallelogram Umbrella
Objective: To prove properties of specific parallelograms and find angles and lengths
40 Quadrilaterals Properties of Trapezoids
Objective: To prove properties of trapezoids and find unknown lengths and angles
41 Quadrilaterals Quadrilaterals 6
Objective: To establish the properties of quadrilaterals in the number plane
42 Locus Constructions and Loci 1: Transformations
Objective: To identify and use the locus of a point with simple constraints
43 Locus Constructions and Loci 2
Objective: To identify and use the locus of a point with multiple constraints
44 Geometry part 2 More difficult exercises involving parallel lines
Objective: To determine the angles of geometric figures using known properties and theorems
45 Geometry part 2 Further difficult exercises involving formal reasoning
Objective: To determine formally angles of geometric figures using known properties and theorems
46 Geometry part 2 Angles of regular polygons
Objective: To calculate the internal and external angles of a polygon
47 Geometry part 2 Congruent triangles: Tests 1 and 2
Objective: To recognise congruent triangles and matching sides and angles using SSS and SAS
48 Geometry part 2 Congruent triangles: Tests 3 and 4
Objective: To recognise congruent triangles and matching sides and angles using AAS and RHS
49 Geometry part 2 Proofs and Congruent Triangles
Objective: To use congruency in formal proofs in order to determine unknown angles and sides
50 Geometry part 2 Similar Triangles
Objective: To use similarity tests for triangles and determine unknown sides and angles in triangles
51 Geometry part 2 Using Similar Triangles to Calculate Lengths
Objective: To determine unknown sides and angles of similar triangles
52 Geometry part 2 Examples involving overlapping triangles
Objective: To determine the lengths of unknown sides in overlapping or adjacent similar triangles
53 Geometry part 3 The Triangle Inequality Theorem
Objective: To use the triangle inequality theorem to determine constructability of triangles
54 Logic Inductive and Deductive Reasoning
Objective: To identify and use inductive and deductive reasoning
55 Logic Disproof of Counter Example
Objective: To identify a statement as a counter example to disprove a statement
56 Logic Proof by Disproof of a Contradictory Statement
Objective: To prove that a statement is true by proving that the contradictory statement is false
57 Logic Mathematical induction
Objective: To use proof by mathematical induction
58 Logic Conditional statements (converse, inverse and contrapositive) (Stage 2)
Objective: On completion of the lesson the student will be able to form related conditional statements.
59 Matrices Vectors
Objective: To use vectors to find resultant speeds and displacements
60 Matrices – Linear systems Number of Solutions
Objective: To determine solutions to systems of equations
61 Matrices – Linear systems Vector Addition in 2 and 3D
Objective: To represent, add, subtract and determine the direction of vectors
62 Matrices – Linear systems Optimal Solutions
Objective: To use linear programming to maximise or minimise an objective function
63 Measurement – Volume Solving Problems about Volume Part 1
Objective: To solve volume problems using same and mixed units of length
64 Measurement – Volume Solving Problems about Volume Part 2
Objective: To solve volume problems involving larger objects
65 Uniform motion The Speed Formula
Objective: To calculate speed, distance or time using speed = distance/time
66 Uniform motion Using Subscripted Variables
Objective: To use subscripted variables to solve motion problems
67 Uniform motion Uniform Motion With Equal Distances
Objective: To solve motion problems where distances are equal
68 Uniform motion Uniform Motion Adding the Distances
Objective: To solve motion problems where total distance travelled is given
69 Uniform motion Uniform Motion With Unequal Distances or Time
Objective: To solve motion problems where either distance or time are different
70 Uniform motion Uniform Motion Problems Where the Rate is Constant
Objective: To solve miscellaneous motion problems where the rate is constant
71 Uniform motion Vertical Motion under gravity: Object Dropped from Rest
Objective: To calculate velocity, time and distance for vertically falling objects dropped from rest
72 Uniform motion Vertical Motion under gravity: Initial Velocity not Zero
Objective: To calculate velocity, time and distance for vertical motion with initial velocity not zero
73 Pythagoras Pythagoras’ Theorem: Finding the Hypotenuse
Objective: To calculate the length of a hypotenuse using Pythagoras’ Theorem
74 Pythagoras Using Pythagorean Triples to Identify Right Triangles
Objective: To identify right triangles by using Pythagorean Triples or Pythagoras’ Theorem
75 Pythagoras Calculating the Hypotenuse of a right-angled Triangle
Objective: To calculate the length of a hypotenuse where lengths are given as surds or decimals
76 Pythagoras Calculating a Leg of a right-angled Triangle
Objective: To calculate the length of sides other than the hypotenuse using Pythagoras’ Theorem
77 Pythagoras Proofs of Pythagoras’ Theorem
Objective: To examine and complete proofs of Pythagoras’ Theorem
78 Circle geometry part 1 Theorem – 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
79 Circle geometry part 1 Theorem – 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
80 Circle geometry part 1 Theorem – Equal chords in a circle are equidistant from the centre
Objective: To know that equal chords in equal circles are equidistant from the centres
81 Circle geometry part 1 Theorem – The angle at the centre is double the angle at the circumference
Objective: To know that the angle at the centre of a circle is double the angle at the circumference standing on the same arc
82 Circle geometry part 1 Theorem: Angles in the same segment of a circle are equal
Objective: To know that angles in the same segment of a circle are equal
83 Circle geometry part 1 Theorem: The angle of a semi-circle is a right angle
Objective: To know that the angle of a semi-circle is a right angle
84 Circle geometry part 1 Theorem: The opposite angles of a cyclic quadrilateral are supplementary
Objective: To know that the opposite angles of a cyclic quadrilateral are supplementary
85 Circle geometry part 1 Theorem – Exterior angle of cyclic quadrilateral equals interior opposite angles
Objective: To know that the exterior angle at a vertex of a cyclic quadrilateral equals the interior opposite angle
86 Circle geometry part 2 Theorem: The products of the intercepts of two intersecting chords are equal
Objective: To use the product of chord segments theorem to find chord interval lengths
87 Circle geometry part 2 Theorem – The relationship between the tangent and secant from the same point
Objective: To use the tangent square, secant product theorem to find segment lengths
88 Circle geometry part 2 Theorem – If the opposite angles in a quadrilateral are supplementary then the quadrilateral is cyclic.
Objective: To prove a quadrilateral is cyclic using the supplementary angles theorem.
89 Circle geometry part 2 Theorem – If an interval subtends equal angles at two points on the same side of it, then the end points of the interval and the two points are concyclic.
Objective: To prove points concyclic if they form congruent angles from two other points.
90 Circle geometry part 2 Theorem – When circles touch, the line of the centres passes through the point of contact.
Objective: To use the collinearity of centres and the point of contact of two circles.
91 Circle geometry part 2 Theorem – Any three non-collinear points lie on a unique circle whose centre is the point of concurrency of the perpendicular bisectors of the intervals joining these points.
Objective: To find the centre of the circle passing through 3 given points.
92 Co-ordinate geometry part 2 Transformations: Reflections
Objective: To identify reflections and to use isometric properties of reflections
93 Geometry transformations Geometry Transformations without Matrices: Translation
Objective: To find the image of a point or object after a translation
94 Geometry transformations Geometry Transformations without Matrices: Rotation
Objective: To determine rotation angle and to perform prescribed rotations
95 Geometry transformations Geometry Transformations without Matrices: Dilation or Enlargement
Objective: To describe dilations and to calculate lengths and scale factors of dilated figures
96 Geometry transformations Geometry Transformations without Matrices: Mixed and Combined Transformations
Objective: To identify images produced by a given sequence of transformations
97 Geometry transformations The definition and concept of combined transformations resulting in an equivalent single transformation
Objective: On completion of this lesson the student will combine reflections and glide transformations to produce single isometric transformations.
98 Matrices Matrices: basic concepts
Objective: To write and state the order of a matrix and to identify square matrices
99 Matrices Addition and Subtraction of Matrices
Objective: To add and subtract matrices
100 Matrices Scalar matrix: multiplication
Objective: To multiply a matrix by a scalar
101 Matrices Multiplication of one matrix by another matrix
Objective: To perform matrix multiplication and to recognise that AB is not equal to BA
102 Matrices Translation in the number plane
Objective: To use matrix addition to translate points
103 Matrices Translation by matrix multiplication
Objective: To transform points and objects by matrix multiplication
104 Matrices Special Transformations: Reflections, Rotations and Enlargements
Objective: To reflect, rotate and enlarge geometric shapes using matrix multiplication
105 Co-ordinate geometry part 1 The Distance Formula
Objective: To use the distance formula to calculate the lengths of lines and distances
106 Co-ordinate geometry part 1 The Mid-Point Formula
Objective: To determine the mid-point of an interval using the mid-point formula
107 Co-ordinate geometry part 1 The Gradient
Objective: To find the gradient of a line given its angle of inclination or given rise and run
108 Co-ordinate geometry part 1 The Gradient Formula
Objective: To use the gradient formula to find the gradient of straight lines
109 Co-ordinate geometry part 1 The Straight Line
Objective: To state the equation of lines parallel to the axes and to graph equations x = a and y = b
110 Co-ordinate geometry part 1 Lines Through the Origin
Objective: To state the equation of lines passing through the origin and to graph y = mx
111 Co-ordinate geometry part 1 General 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
112 Co-ordinate geometry part 1 Slope Intercept Form of a Line
Objective: To change equation to slope intercept form and graph it and to find equation given graph
113 Co-ordinate geometry part 1 Point 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)
114 Co-ordinate geometry part 2 Two 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
115 Co-ordinate geometry part 2 Intercept 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
116 Co-ordinate geometry part 2 Parallel 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
117 Co-ordinate geometry part 2 Perpendicular Lines
Objective: To identify the equation of a line that is perpendicular to a given linear equation
118 Co-ordinate geometry part 2 Inequalities on the Number Plane
Objective: To identify the graph which matches a given inequality
119 Co-ordinate geometry part 2 Perpendicular Distance
Objective: To calculate the perpendicular distance from a point to a line and between lines
120 Co-ordinate geometry part 2 Line through the intersection of two given lines
Objective: To determine the equation of a line passing through the intersection of two lines
121 Co-ordinate geometry part 2 Angles between two lines
Objective: To find the angle between two given straight lines
122 Co-ordinate geometry part 2 Internal and external division of an interval
Objective: To find the value of k given the interval AB is divided at point P in the ratio of k to some value
123 Graphs part 1 The 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
124 Graphs part 1 The semicircle: to select the equation given the semicircle and vice versa
Objective: To select the equation given a semicircle and vice versa
125 Graphs part 1 The parabola: to describe properties of a parabola from its equation
Objective: To describe properties of a parabola from its equation and sketch the parabola
126 Graphs part 1 Quadratic Polynomials of the form y = ax^2 + bx + c
Objective: To describe and sketch parabolas of the form y = x^2 + bx + c
127 Graphs part 1 Graphing perfect squares: y=(a-x) squared
Objective: To describe and sketch parabolas of the form y = (x – a)^2
128 Graphs part 1 Graphing irrational roots
Objective: To determine the vertex (using -b/2a), and other derived properties, to sketch a parabola
129 Graphs part 1 Solving Simultaneous Equations graphically
Objective: To solve simultaneous equations graphically
130 Algebra – Quadratic equations Introduction to Quadratic Equations
Objective: To find the solutions of quadratic equations presented as a product of factors
131 Algebra – Quadratic equations Solving Quadratic Equations with Factorisation
Objective: To solve quadratic equations requiring factorisation
132 Algebra – Quadratic equations Solving Quadratic Equations
Objective: To solve quadratic equations that need to be changed into the form ax^2 + bx + c = 0
133 Algebra – Quadratic equations Completing the square
Objective: To complete an incomplete square
134 Algebra – Quadratic equations Solving Quadratic Equations by Completing the Square
Objective: To solve quadratic equations by completing the square
135 Algebra – Quadratic equations The Quadratic Formula
Objective: To find the roots of a quadratic equation by using the quadratic formula
136 Algebra – Quadratic equations Problem solving with quadratic equations
Objective: To solve problems which require finding the roots of a quadratic equation
137 Algebra – Quadratic equations Solving Simultaneous Quadratic Equations Graphically
Objective: To determine points of intersection of quadratic and linear equations
138 Graphs part 2 General 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)
139 Exam Exam – Grades 10/11 – Geometry
Objective: Exam
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Grade 11/12 - Algebra II and Trigonometry Mathematics

# TOPIC TITLE
1 Study Plan Study plan – Year 10/11 – Algebra II and Trigonometry
Objective: On completion of the course formative assessment a tailored study plan is created identifying the lessons requiring revision.
2 Decimals Rounding Decimals
Objective: To round a number with one or two decimal places to the nearest whole number
3 Decimals Decimals to three decimal places
Objective: To express a number on a thousand as a decimal in thousandths
4 Standard/Scientific notation Scientific notation with larger numbers
Objective: To write large numbers in standard or scientific notation
5 Standard/Scientific notation Scientific notation with small numbers
Objective: To write small numbers in standard or scientific notation
6 Standard/Scientific notation Changing scientific notation to numerals
Objective: To interpret scientific notation by writing in base 10 numerals
7 Standard/Scientific notation Significant Figures
Objective: To write a number to a specified number of significant figures
8 Logic Inductive and Deductive Reasoning
Objective: To identify and use inductive and deductive reasoning
9 Logic Disproof of Counter Example
Objective: To identify a statement as a counter example to disprove a statement
10 Logic Proof by Disproof of a Contradictory Statement
Objective: To prove that a statement is true by proving that the contradictory statement is false
11 Logic Mathematical induction
Objective: To use proof by mathematical induction
12 Logic Conditional statements (converse, inverse and contrapositive) (Stage 2)
Objective: On completion of the lesson the student will be able to form related conditional statements.
13 Algebra – Basic Solving Equations Containing Binomial Expressions
Objective: To solve equations with binomial expressions on each side
14 Algebra – Basic Equations involving Grouping Symbols
Objective: To solve equations containing grouping symbols on each side
15 Algebra – Basic Equations involving fractions
Objective: To solve fraction equations with the unknown in either the numerator or denominator
16 Algebra – Basic Equations Resulting from Substitution into Formulae
Objective: To solve equations created by substituting values into formulae
17 Algebra – Basic Changing the Subject of the Formula
Objective: To change the subject of algebraic formulae using equation-solving techniques
18 Algebra – Basic Inequalities
Objective: To solve algebraic inequalities requiring (at times) change of direction of inequality sign
19 Algebra – Basic Simplifying easy algebraic fractions
Objective: To simplify simple algebraic fractions using cancellation of common factors
20 Algebra – Basic Simplifying algebraic fractions using the Index Laws
Objective: To use the index laws for division to simplify algebraic fractions
21 Algebra – Basic Algebraic fractions resulting in negative Indices
Objective: To simplify algebraic fractions using negative indices (as required) in the answer
22 Algebra – Basic Factorisation of algebraic fractions including binomials
Objective: To simplify algebraic fractions requiring the factorisation of binomial expressions
23 Algebra – Basic Cancelling binomial factors in algebraic fractions
Objective: To simplify algebraic fractions with binomials in both the numerator and denominator
24 Absolute value Evaluating Absolute Value Expressions
Objective: To evaluate numeric and algebraic expressions involving absolute value
25 Absolute value Solving Absolute Value Equations
Objective: To solve equations involving absolute values
26 Absolute value Solving and Graphing Inequalities
Objective: To graph the solution set of absolute value inequalities
27 Trigonometry part 1 Trigonometric Ratios
Objective: To name the sides of a right-angled triangle and to determine the trig ratios of an angle
28 Trigonometry part 1 Using the Calculator
Objective: To determine trigonometric ratios using a calculator
29 Trigonometry part 1 Using 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
30 Trigonometry part 1 Using 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
31 Trigonometry part 1 Using 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
32 Trigonometry part 1 Unknown in the Denominator [Case 4]
Objective: To use trigonometry to find sides of a right-angled triangle and the Unknown in denominator
33 Trigonometry part 1 Bearings: The Compass
Objective: To change from true bearings to compass bearings and vice versa
34 Trigonometry part 1 Angles of Elevation and Depression
Objective: To identify and distinguish between angles of depression and elevation
35 Trigonometry part 1 Trigonometric Ratios in Practical Situations
Objective: To solve problems involving bearings and angles of elevation and depression
36 Trigonometry part 1 Using the Calculator to Find an Angle Given a Trigonometric Ratio
Objective: To find angles in right-angled triangles given trigonometric ratios
37 Trigonometry part 1 Using 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
38 Trigonometry part 1 Trigonometric 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
39 Trigonometry part 2 Angles of Any Magnitude
Objective: To assign angles to quadrants and to find trigonometric values for angles
40 Trigonometry part 2 Trigonometric ratios of 0°, 90°, 180°, 270° and 360°
Objective: To find trigonometric ratios of 0, 90, 180, 270 and 360 degrees
41 Trigonometry part 2 Graphing the Trigonometric Ratios I: Sine Curve
Objective: To recognise the sine curve and explore shifts of phase and amplitude
42 Trigonometry part 2 Graphing the Trigonometric Ratios II: Cosine Curve
Objective: To recognise the cosine curve and explore shifts of phase and amplitude
43 Trigonometry part 2 Graphing the Trigonometric Ratios III: Tangent Curve
Objective: To recognise the tangent curve and explore shifts of phase and amplitude
44 Statistics part 1 Frequency distribution table
Objective: To construct a frequency distribution table for raw data and to interpret the table
45 Statistics part 1 Frequency histograms and polygons
Objective: To construct and interpret frequency histograms and polygons
46 Statistics part 1 Relative Frequency
Objective: To extend the frequency distribution table to include a relative frequency column
47 Statistics part 1 The Range
Objective: To determine the range of data in either raw form or in a frequency distribution table
48 Statistics part 1 The Mode
Objective: To find the mode from raw data and from a frequency distribution table
49 Statistics part 1 The Mean
Objective: To calculate means from raw data and from a frequency table using an fx column
50 Statistics part 1 The Median
Objective: To determine the median of a set of raw scores
51 Statistics part 1 Cumulative Frequency
Objective: To construct cumulative frequency columns, histograms and polygons
52 Statistics part 1 Calculating the Mean from a Frequency Distribution
Objective: To determine averages (mean, median and mode) from cumulative frequency polygons
53 Probability Simple events
Objective: To find the probability of events using sample space and event set (E) and P(E) = n(E)/n(S)
54 Probability Rolling a pair of dice
Objective: To find the probability of selected events when two dice are rolled
55 Probability Experimental probability
Objective: To find the experimental probabilities of an experimental trial
56 Probability Experimental probability
Objective: To use tree diagrams to determine sample spaces and compound probabilities
57 Probability Tree diagrams: depending on previous outcomes
Objective: To use tree diagrams where the probability is dependent on previous outcomes
58 Probability The Complementary Result
Objective: To calculate the probability of complementary events using P(E) = 1 – P(not E)
59 Indices/Exponents Multiplying indices when raising to more than one term
Objective: To raise power products to a power
60 Indices/Exponents Terms raised to the power of zero
Objective: To evaluate expressions where quantities are raised to the power 0
61 Indices/Exponents Negative Indices
Objective: To evaluate or simplify expressions containing negative indices
62 Indices/Exponents Fractional Indices
Objective: To evaluate or simplify expressions containing fractional indices
63 Indices/Exponents Complex fractions as indices
Objective: To evaluate or simplify expressions containing complex fractional indices and radicals
64 Surds/Radicals Introducing surds
Objective: To recognise and simplify numerical expressions involving surds
65 Surds/Radicals Some rules for the operations with surds
Objective: To learn rules for the division and multiplication of surds
66 Surds/Radicals Simplifying Surds
Objective: To simplify numerical expressions and solve equations involving surds
67 Surds/Radicals Creating entire surds
Objective: To write numbers as entire surds and compare numbers by writing as entire surds
68 Surds/Radicals Adding and subtracting like surds
Objective: To add and subtract surds and simplify expressions by collecting like surds
69 Surds/Radicals Expanding surds
Objective: To expand and simplify binomial expressions involving surds
70 Surds/Radicals Binomial expansions
Objective: To expand and simplify the squares of binomial sums and differences involving surds
71 Surds/Radicals Conjugate binomials with surds
Objective: To expand and simplify products of conjugate binomial expressions
72 Surds/Radicals Rationalising the denominator
Objective: To rationalise the denominator of a fraction where the denominator is a monomial surd
73 Surds/Radicals Rationalising binomial denominators
Objective: To rationalise the denominator of a fraction when the denominator is a binomial with surds
74 Polynomials Introduction to polynomials
Objective: To define polynomials by degree, leading term, leading coefficient, constant term and monic
75 Polynomials The Sum, Difference and Product of Two Polynomials
Objective: To add, subtract and multiply polynomials
76 Complex numbers Complex Numbers: Adding and Subtracting
Objective: To recognise and manipulate simple complex numbers and expressions
77 Complex numbers Complex Numbers: Multiplying and Dividing
Objective: To perform multiplication and division of complex numbers
78 Complex numbers Adding and Subtracting Complex Numbers using Vectors
Objective: To perform complex number operations graphically using vectors
79 Complex numbers The Absolute Value of a Complex Number
Objective: To find the absolute value of a complex number
80 Series and sequences part 1 General Sequences
Objective: To use the general form of the n’th term of a sequence to find the first 3 terms
81 Series and sequences part 1 Finding Tn Given Sn
Objective: To find the value of the n’th term in a sequence given the sum of the first n terms
82 Series and sequences part 1 The Arithmetic Progression
Objective: To find the common difference of a given arithmetic progression
83 Series and sequences part 1 Finding 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
84 Series and sequences part 1 Given 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
85 Series and sequences part 1 Arithmetic Means
Objective: To find the arithmetic mean of two values
86 Series and sequences part 1 The 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
87 Series and sequences part 2 Geometric Means
Objective: To find geometric means of a and b and insert geometric means between 2 endpoints
88 Series and sequences part 2 The sum to n terms of a G.P.
Objective: To find the sum of n terms of a sequence
89 Series and sequences part 2 Sigma notation
Objective: To evaluate progressions using sigma notation
90 Algebra – Basic Solving Two-Step Equations
Objective: To solve two-step equations without division in the initial problem
91 Graphs part 1 The parabola: to describe properties of a parabola from its equation
Objective: To describe properties of a parabola from its equation and sketch the parabola
92 Graphs part 1 Quadratic Polynomials of the form y = ax^2 + bx + c
Objective: To describe and sketch parabolas of the form y = x^2 + bx + c
93 Graphs part 1 Graphing perfect squares: y=(a-x) squared
Objective: To describe and sketch parabolas of the form y = (x – a)^2
94 Graphs part 1 Graphing irrational roots
Objective: To determine the vertex (using -b/2a), and other derived properties, to sketch a parabola
95 Graphs part 1 Solving Simultaneous Equations graphically
Objective: To solve simultaneous equations graphically
96 Algebra – Products and factors Larger Expansions
Objective: To expand and simplify the product of a binomial and a trinomial
97 Algebra – Products and factors Highest Common Factor
Objective: To factorise an expression by identifying and extracting the highest common factor
98 Algebra – Products and factors Factors by Grouping
Objective: To factorise a four-term expression by grouping
99 Algebra – Products and factors Difference of Two Squares
Objective: To factorise differences of two squares
100 Algebra – Products and factors Common 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.
101 Algebra – Products and factors Quadratic Trinomials (monic): Case 1
Objective: On completion of the lesson the student will understand the factorization of quadratic trinomial equations with all terms positive.
102 Algebra – Products and factors Quadratic Trinomials (monic): Case 2
Objective: On completion of the lesson the student will accurately identify the process if the middle term of a quadratic trinomial is negative.
103 Algebra – Products and factors Quadratic 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.
104 Algebra – Products and factors Quadratic 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.
105 Algebra – Products and factors Factorisation of nonmonic quadratic trinomials
Objective: To factorise nonmonic quadratic trinomials using the ‘X’ method
106 Algebra – Products and factors Factorisation of nonmonic quadratic trinomials: Moon method
Objective: To factorise nonmonic quadratic trinomials using the ‘Moon’ method
107 Algebra – Products and factors Sum and Difference of Two Cubes
Objective: To factorise the sum and difference of two cubes
108 Algebra – Products and factors Simplifying algebraic fractions
Objective: To simplify algebraic fractions by factorisation and cancellation
109 Algebra – Quadratic equations Introduction to Quadratic Equations
Objective: To find the solutions of quadratic equations presented as a product of factors
110 Algebra – Quadratic equations Solving Quadratic Equations with Factorisation
Objective: To solve quadratic equations requiring factorisation
111 Algebra – Quadratic equations Solving Quadratic Equations
Objective: To solve quadratic equations that need to be changed into the form ax^2 + bx + c = 0
112 Algebra – Quadratic equations Completing the square
Objective: To complete an incomplete square
113 Algebra – Quadratic equations Solving Quadratic Equations by Completing the Square
Objective: To solve quadratic equations by completing the square
114 Algebra – Quadratic equations The Quadratic Formula
Objective: To find the roots of a quadratic equation by using the quadratic formula
115 Algebra – Quadratic equations Problem solving with quadratic equations
Objective: To solve problems which require finding the roots of a quadratic equation
116 Algebra – Quadratic equations Solving Simultaneous Quadratic Equations Graphically
Objective: To determine points of intersection of quadratic and linear equations
117 Series and sequences part 1 The Geometric Progression
Objective: To find the common ratio of a given geometric progression
118 Series and sequences part 1 Finding the position of a term in a G.P.
Objective: To find the place of a term in a given geometric progression
119 Series and sequences part 1 Given two terms of G.P. find the sequence
Objective: To find the first term given two terms of a geometric progression
120 Fractions Adding and subtracting fractions with different denominators
Objective: To add fractions with different denominators and the answer is less than 1
121 Fractions Multiplying fractions by whole numbers
Objective: To multiply common fractions by whole numbers
122 Fractions Fractions of whole numbers
Objective: To find fractions of whole numbers
123 Fractions Multiplying fractions
Objective: To multiply fractions and reduce the answer to its lowest form
124 Fractions Multiplying mixed numbers
Objective: To multiply mixed numbers and reduce the answer to its lowest form
125 Fractions Finding reciprocals of fractions and mixed numbers
Objective: To find the reciprocals of fractions and mixed numbers
126 Fractions Dividing fractions
Objective: To divide fractions by other fractions
127 Fractions Dividing mixed numbers
Objective: To divide mixed numbers
128 Fractions BODMAS
Objective: To calculate answers for fraction and mixed number questions using BODMAS
129 Logarithms Powers of 2
Objective: To convert between logarithm statements and indice statements
130 Logarithms Equations 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
131 Logarithms Equations of type log 32 to the base x = 5
Objective: To solve Logrithmic Equation where the variable is the base x = 5
132 Logarithms Laws of Logarithms
Objective: To review the logarithm laws
133 Logarithms Using the Log Laws to Expand Logarithmic Expressions
Objective: To expand expressions using the logarithm laws
134 Logarithms Using the Log Laws to Simplify Expressions Involving Logarithms
Objective: To simplify expressions using the logarithm laws
135 Logarithms Using 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
136 Logarithms Equations Involving Logarithms
Objective: To solve equations involving logarithms using the logarithm laws
137 Logarithms Using Logarithms to Solve Equations
Objective: To use logarithms to solve exponential equations
138 Logarithms Change of Base Formula
Objective: To evaluate log expressions using logarithms
139 Polynomials The Sum and Product of the Roots of Quadratic Equations.
Objective: Sum and product of roots of quadratic equations.
140 Polynomials The Sum and Product of the Roots of Cubic and Quartic Equations.
Objective: Sum and product of toots of cubic and quartic equations.
141 Polynomials Polynomials and Long Division
Objective: To perform long division of polynomials, finding quotient and remainder
142 Polynomials The Remainder Theorem
Objective: To determine a remainder when a first polynomial is divided by a second
143 Polynomials More on Remainder Theorem
Objective: To determine polynomial coefficients given a divisor and remainder
144 Polynomials The factor theorem
Objective: To use the factor theorem to show that (x-a) is a factor of P(x)
145 Polynomials More on the factor theorem
Objective: To use the factor theorem to find algebraic variables in polynomials
146 Polynomials Complete factorisations using the factor theorem
Objective: To use the factor theorem to derive factors of a polynomial
147 Polynomials Polynomial equations
Objective: To practise solving polynomial equations
148 Polynomials Graphs of polynomials
Objective: To derive graphs of polynomials by factorising
149 Graphs part 2 The Exponential Function
Objective: To graph exponential curves whose exponents are either positive or negative
150 Probability The Binomial Theorem and Binomial Coefficients
Objective: To calculate binomial coefficients and expand binomial powers.
151 Function Functions and Relations: domain and range
Objective: To identify and represent functions and relations
152 Function Function Notation
Objective: To write and evaluate functions using function notation
153 Function Selecting Appropriate Domain and Range
Objective: To determine appropriate domains for functions
154 Function Domain and Range from Graphical Representations
Objective: To determine the range of a function from its graphical representation
155 Function Evaluating and Graphing Piecewise Functions
Objective: To evaluate and graph piecewise functions
156 Function Combining Functions
Objective: To determine the resultant function after functions have been combined by plus, minus, times and divide
157 Function Simplifying Composite Functions
Objective: To simplify, evaluate and determine the domain of composite functions
158 Function Inverse Functions
Objective: To find the inverse of a function and determine whether this inverse is itself a function
159 Function Graphing Rational Functions Part 1
Objective: To determine asymptotes and graph rational functions using intercepts and asymptotes
160 Function Graphing Rational Functions Part 2
Objective: To determine asymptotes and graph rational functions
161 Function Polynomial Addition: in Combining and Simplifying Functions
Objective: To evaluate, simplify and graph rational functions
162 Graphs part 1 The 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
163 Graphs part 1 The semicircle: to select the equation given the semicircle and vice versa
Objective: To select the equation given a semicircle and vice versa
164 Graphs part 2 General 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)
165 Graphs part 2 Logarithmic Functions
Objective: To graph and describe log curves whose equations are of the form y = log (ax + b)
166 Trigonometry part 2 Reciprocal Ratios
Objective: To find the trigonometric ratios for a given right-angled triangle
167 Trigonometry part 2 Complementary Angle Results
Objective: To use complementary angle ratios to find an unknown angle given a trigonometric equality
168 Trigonometry part 2 Trigonometric Identities
Objective: To simplify expressions using trigonometric equalities
169 Trigonometry part 2 Graphing the Trigonometric Ratios IV: Reciprocal Ratios
Objective: To graph the primary trigonometric functions and their inverses
170 Trigonometry part 2 Using One Trig. Ratio to Find Another
Objective: To derive trig ratios complement from one given trig ratio + some other quadrant identifier.
171 Trigonometry part 2 Solving Trigonometric Equations – Type I
Objective: To Solve trigonometric equations for angles from 0 to 360 degrees.
172 Trigonometry part 2 Solving Trigonometric Equations – Type II
Objective: To solve trigonometric equations for angles from 0 to 360 degrees.
173 Trigonometry part 2 Solving Trigonometric Equations – Type III
Objective: To solve trigonometric equations using tan? = sin?/cos?.
174 Trigonometry part 1 The Cosine Rule to find an unknown side [Case 1 SAS]
Objective: To complete the cosine rule to find a subject side for given triangles
175 Trigonometry part 1 The Sine Rule to find an unknown side: Case 1
Objective: To complete the cosine rule to find a subject angle for given triangles
176 Trigonometry part 1 The Sine Rule: Finding a Side
Objective: To find an unknown side of a triangle using the sine rule
177 Trigonometry part 1 The Sine Rule: Finding an Angle
Objective: To find an unknown angle of a triangle using the sine rule
178 Polar coordinates Polar Coordinates – Plotting and Converting
Objective: To plot polar points and convert polar coordinates to rectangular coordinates
179 Polar coordinates Converting Rectangular Coordinates to Polar Form
Objective: To convert rectangular to polar coordinates
180 Polar coordinates Graphing Polar Functions
Objective: To write the polar coordinates of a point for selected argument ranges
181 Trigonometry part 2 Trigonometric Sum and Difference Identities
Objective: To evaluate trig functions of angles using sum and difference identities
182 Trigonometry part 2 Double Angle Identities
Objective: To use double angle identities to evaluate trig. functions and solve trig equations
183 Trigonometry part 2 Half-angle Identities
Objective: To evaluate trig. functions of angles using half-angle identities
184 Trigonometry part 2 t Formulas
Objective: To write t-formulae for trig. functions. To solve equations using t-formulae
185 Statistics part 2 Calculating mean, mode and median from grouped data
Objective: To identify class centres, get frequency counts and determine mean, mode and median values
186 Statistics part 2 Using the Calculator for Statistics
Objective: To find a mean, using a data set or a frequency distribution table and calculator.
187 Statistics part 2 Measures of Spread
Objective: To determine a range and use it in decision making
188 Statistics part 2 Standard deviation applications
Objective: To find a standard deviation, using a data set or a frequency distribution table and calculator
189 Statistics part 2 Applications of Standard Deviation
Objective: To use standard deviation as a measure of deviation from a mean
190 Statistics part 2 The Normal Distribution
Objective: To use the standard deviation of a normal distribution to find a percentage of scores within ranges
191 Statistics part 2 Measures of Spread: the interquartile range
Objective: To find the upper and lower quartiles and the interquartile range
192 Statistics part 1 Stem and Leaf Plots along with Box and Whisker Plots
Objective: To derive statistics from data represented as stem & leaf or box & whisker plots
193 Statistics part 1 The Scatter plot
Objective: To make a valid interpretation of data presented as a scatter plot
194 Probability P[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)
195 Probability Binomial probabilities using the Binomial Theorem
Objective: To calculate the binomial probability of a given number of successful trials
196 Probability Counting techniques and ordered selections
Objective: To use counting techniques in probability
197 Probability Unordered selections – combinations
Objective: To use the nCr formula to solve problems where unordered selections occur
198 Exam Exam – Year 10/11 – Algebra II and Trigonometry
Objective: Exam
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SAT Trigonometry Mathematics

# TOPIC TITLE
1 Study Plan Study plan – SAT Trigonometry
Objective: On completion of the course formative assessment a tailored study plan is created identifying the lessons requiring revision.
2 Trigonometry part 1 Trigonometric Ratios
Objective: To name the sides of a right-angled triangle and to determine the trig ratios of an angle
3 Trigonometry part 1 Using the Calculator
Objective: To determine trigonometric ratios using a calculator
4 Trigonometry part 1 Using 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
5 Trigonometry part 1 Using 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
6 Trigonometry part 1 Using 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
7 Trigonometry part 1 Unknown in the Denominator [Case 4]
Objective: To use trigonometry to find sides of a right-angled triangle and the Unknown in denominator
8 Trigonometry part 1 Bearings: The Compass
Objective: To change from true bearings to compass bearings and vice versa
9 Trigonometry part 1 Angles of Elevation and Depression
Objective: To identify and distinguish between angles of depression and elevation
10 Trigonometry part 1 Trigonometric Ratios in Practical Situations
Objective: To solve problems involving bearings and angles of elevation and depression
11 Trigonometry part 1 Using the Calculator to Find an Angle Given a Trigonometric Ratio
Objective: To find angles in right-angled triangles given trigonometric ratios
12 Trigonometry part 1 Using 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
13 Trigonometry part 1 Trigonometric 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
14 Trigonometry part 1 The Cosine Rule to find an unknown side [Case 1 SAS]
Objective: To complete the cosine rule to find a subject side for given triangles
15 Trigonometry part 1 The Sine Rule to find an unknown side: Case 1
Objective: To complete the cosine rule to find a subject angle for given triangles
16 Trigonometry part 1 The Sine Rule: Finding a Side
Objective: To find an unknown side of a triangle using the sine rule
17 Trigonometry part 1 The Sine Rule: Finding an Angle
Objective: To find an unknown angle of a triangle using the sine rule
18 Trigonometry part 1 The Sine Area Formula for a Triangle
Objective: To use the sine formula for the area of a triangle to calculate area
19 Co-ordinate geometry part 1 The Distance Formula
Objective: To use the distance formula to calculate the lengths of lines and distances
20 Co-ordinate geometry part 1 The Mid-Point Formula
Objective: To determine the mid-point of an interval using the mid-point formula
21 Co-ordinate geometry part 1 The Gradient
Objective: To find the gradient of a line given its angle of inclination or given rise and run
22 Co-ordinate geometry part 1 The Gradient Formula
Objective: To use the gradient formula to find the gradient of straight lines
23 Trigonometry part 2 Reciprocal Ratios
Objective: To find the trigonometric ratios for a given right-angled triangle
24 Trigonometry part 2 Complementary Angle Results
Objective: To use complementary angle ratios to find an unknown angle given a trigonometric equality
25 Trigonometry part 2 Trigonometric Identities
Objective: To simplify expressions using trigonometric equalities
26 Trigonometry part 2 Angles of Any Magnitude
Objective: To assign angles to quadrants and to find trigonometric values for angles
27 Trigonometry part 2 Trigonometric ratios of 0°, 90°, 180°, 270° and 360°
Objective: To find trigonometric ratios of 0, 90, 180, 270 and 360 degrees
28 Trigonometry part 2 Graphing the Trigonometric Ratios I: Sine Curve
Objective: To recognise the sine curve and explore shifts of phase and amplitude
29 Trigonometry part 2 Graphing the Trigonometric Ratios II: Cosine Curve
Objective: To recognise the cosine curve and explore shifts of phase and amplitude
30 Trigonometry part 2 Graphing the Trigonometric Ratios III: Tangent Curve
Objective: To recognise the tangent curve and explore shifts of phase and amplitude
31 Trigonometry part 2 Graphing the Trigonometric Ratios IV: Reciprocal Ratios
Objective: To graph the primary trigonometric functions and their inverses
32 Trigonometry part 2 Using One Trig. Ratio to Find Another
Objective: To derive trig ratios complement from one given trig ratio + some other quadrant identifier.
33 Trigonometry part 2 Solving Trigonometric Equations – Type I
Objective: To Solve trigonometric equations for angles from 0 to 360 degrees.
34 Trigonometry part 2 Solving Trigonometric Equations – Type II
Objective: To solve trigonometric equations for angles from 0 to 360 degrees.
35 Trigonometry part 2 Solving Trigonometric Equations – Type III
Objective: To solve trigonometric equations using tan? = sin?/cos?.
36 Polar coordinates Polar Coordinates – Plotting and Converting
Objective: To plot polar points and convert polar coordinates to rectangular coordinates
37 Polar coordinates Converting Rectangular Coordinates to Polar Form
Objective: To convert rectangular to polar coordinates
38 Polar coordinates Graphing Polar Functions
Objective: To write the polar coordinates of a point for selected argument ranges
39 Trigonometry part 2 Trigonometric Sum and Difference Identities
Objective: To evaluate trig functions of angles using sum and difference identities
40 Trigonometry part 2 Double Angle Identities
Objective: To use double angle identities to evaluate trig. functions and solve trig equations
41 Trigonometry part 2 Half-angle Identities
Objective: To evaluate trig. functions of angles using half-angle identities
42 Trigonometry part 2 t Formulas
Objective: To write t-formulae for trig. functions. To solve equations using t-formulae
43 Exam Exam – SAT Trigonometry
Objective: Exam
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SAT Linear Algebra Mathematics

# TOPIC TITLE
1 Study Plan Study plan – SAT Linear Algebra
Objective: On completion of the course formative assessment a tailored study plan is created identifying the lessons requiring revision.
2 Matrices Matrices: basic concepts
Objective: To write and state the order of a matrix and to identify square matrices
3 Matrices Addition and Subtraction of Matrices
Objective: To add and subtract matrices
4 Matrices Scalar matrix: multiplication
Objective: To multiply a matrix by a scalar
5 Matrices Multiplication of one matrix by another matrix
Objective: To perform matrix multiplication and to recognise that AB is not equal to BA
6 Matrices Translation in the number plane
Objective: To use matrix addition to translate points
7 Matrices Translation by matrix multiplication
Objective: To transform points and objects by matrix multiplication
8 Matrices Special Transformations: Reflections, Rotations and Enlargements
Objective: To reflect, rotate and enlarge geometric shapes using matrix multiplication
9 Matrices Vectors
Objective: To use vectors to find resultant speeds and displacements
10 Matrices – Linear systems Number of Solutions
Objective: To determine solutions to systems of equations
11 Matrices – Linear systems Vector Addition in 2 and 3D
Objective: To represent, add, subtract and determine the direction of vectors
12 Matrices – Linear systems Optimal Solutions
Objective: To use linear programming to maximise or minimise an objective function
13 Matrices – Linear systems Linear Systems with Matrices
Objective: To identify and describe matrices and perform row operations in matrices
14 Matrices – Linear systems Row Echelon Form
Objective: To identify and create matrices in row echelon form and to solve systems of equations
15 Matrices – Linear systems Gauss Jordan Elimination
Objective: To use the Gauss Jordan Elimination Method to solve systems of linear equations
16 Exam Exam – SAT Linear Algebra
Objective: Exam
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SAT Analysis Mathematics

# TOPIC TITLE
1 Study Plan Study plan – SAT Analysis
Objective: On completion of the course formative assessment a tailored study plan is created identifying the lessons requiring revision.
2 Logic Inductive and Deductive Reasoning
Objective: To identify and use inductive and deductive reasoning
3 Logic Disproof of Counter Example
Objective: To identify a statement as a counter example to disprove a statement
4 Logic Proof by Disproof of a Contradictory Statement
Objective: To prove that a statement is true by proving that the contradictory statement is false
5 Logic Mathematical induction
Objective: To use proof by mathematical induction
6 Graphs part 2 Graphing complex polynomials: quadratics with no real roots
Objective: To graph quadratics that have no real roots, hence don’t cut the x-axis
7 Graphs part 2 General 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)
8 Graphs part 2 Graphing cubic curves
Objective: To graph cubic curves whose equation is of the form y = (x – a)^3 + b or y = (a – x)^3 + b
9 Graphs part 2 Absolute Value Equations
Objective: To graph equations involving absolute values
10 Graphs part 2 The Rectangular Hyperbola
Objective: To graph rectangular hyperbolae whose equations are of the form xy = a and y = a/x
11 Graphs part 2 The Exponential Function
Objective: To graph exponential curves whose exponents are either positive or negative
12 Graphs part 2 Logarithmic Functions
Objective: To graph and describe log curves whose equations are of the form y = log (ax + b)
13 Conic sections Introduction 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
14 Conic sections The Parabola
Objective: To examine the properties of parabolas of the forms x^2 = 4py and y^2 = 4px
15 Conic sections Circles
Objective: To graph circles of the form x^2 + y^2 = r^2 and to form the equation of the given circles
16 Conic sections The Ellipsis
Objective: To identify ellipses of the form x^2/a^2 + y^2/b^2 = 1 and to find the equation of ellipses
17 Conic sections The Hyperbola
Objective: To find the equation of a hyperbola and to derive properties (e.g. vertex) from its equation
18 Function Functions and Relations: domain and range
Objective: To identify and represent functions and relations
19 Function Function Notation
Objective: To write and evaluate functions using function notation
20 Function Selecting Appropriate Domain and Range
Objective: To determine appropriate domains for functions
21 Function Domain and Range from Graphical Representations
Objective: To determine the range of a function from its graphical representation
22 Function Evaluating and Graphing Piecewise Functions
Objective: To evaluate and graph piecewise functions
23 Function Combining Functions
Objective: To determine the resultant function after functions have been combined by plus, minus, times and divide
24 Function Simplifying Composite Functions
Objective: To simplify, evaluate and determine the domain of composite functions
25 Function Inverse Functions
Objective: To find the inverse of a function and determine whether this inverse is itself a function
26 Function Graphing Rational Functions Part 1
Objective: To determine asymptotes and graph rational functions using intercepts and asymptotes
27 Function Graphing Rational Functions Part 2
Objective: To determine asymptotes and graph rational functions
28 Function Parametric Equations
Objective: To interchange parametric and Cartesian equations and to identify graphs
29 Function Polynomial Addition: in Combining and Simplifying Functions
Objective: To evaluate, simplify and graph rational functions
30 Function Parametric Functions
Objective: To change Cartesian and parametric equations and to graph parametric functions
31 Polar coordinates Polar Coordinates – Plotting and Converting
Objective: To plot polar points and convert polar coordinates to rectangular coordinates
32 Polar coordinates Converting Rectangular Coordinates to Polar Form
Objective: To convert rectangular to polar coordinates
33 Polar coordinates Graphing Polar Functions
Objective: To write the polar coordinates of a point for selected argument ranges
34 Trigonometry part 2 Trigonometric Sum and Difference Identities
Objective: To evaluate trig functions of angles using sum and difference identities
35 Trigonometry part 2 Double Angle Identities
Objective: To use double angle identities to evaluate trig. functions and solve trig equations
36 Trigonometry part 2 Half-angle Identities
Objective: To evaluate trig. functions of angles using half-angle identities
37 Trigonometry part 2 t Formulas
Objective: To write t-formulae for trig. functions. To solve equations using t-formulae
38 Complex numbers Complex Numbers: Adding and Subtracting
Objective: To recognise and manipulate simple complex numbers and expressions
39 Complex numbers Complex Numbers: Multiplying and Dividing
Objective: To perform multiplication and division of complex numbers
40 Complex numbers Adding and Subtracting Complex Numbers using Vectors
Objective: To perform complex number operations graphically using vectors
41 Complex numbers The Absolute Value of a Complex Number
Objective: To find the absolute value of a complex number
42 Complex numbers Trigonometric Form of a Complex Number
Objective: To find the trigonometric form of a complex number
43 Complex numbers Multiplication and Division of Complex Numbers in Trigonometric Form
Objective: To multiply and divide complex numbers using DeMoivre’s Theorem
44 Complex numbers DeMoivre’s theorem
Objective: To find powers of complex numbers using DeMoivre’s theorem
45 Complex numbers The nth Root of Real and Complex Numbers
Objective: To find the roots of a complex function using DeMoivre’s theorem
46 Complex numbers Fundamental Theorem of Algebra
Objective: To find the nth zeros of a polynomial function both real and complex
47 Calculus part 1 Limits
Objective: To find the limit value of a function as x approaches n
48 Calculus part 1 Differentiation from First Principles
Objective: To differentiate functions from first principles
49 Calculus part 1 Differentiation of y = x to the power of n
Objective: To differentiate algebraic functions using the laws of differentiation
50 Calculus part 1 Meaning of dy over dx – Equations of Tangents and Normals
Objective: To find and use the slope of tangents and normals
51 Series and sequences part 2 Geometric Means
Objective: To find geometric means of a and b and insert geometric means between 2 endpoints
52 Series and sequences part 2 The sum to n terms of a G.P.
Objective: To find the sum of n terms of a sequence
53 Series and sequences part 2 Sigma notation
Objective: To evaluate progressions using sigma notation
54 Series and sequences part 2 Limiting Sum or Sum to Infinity
Objective: To find the limiting sum of a sequence
55 Exam Exam – SAT Analysis
Objective: Exam
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SAT Advanced Probability - Statistics Mathematics

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

# TOPIC TITLE
1 Study Plan Study plan – SAT Extension
Objective: On completion of the course formative assessment a tailored study plan is created identifying the lessons requiring revision.
2 Logic Inductive and Deductive Reasoning
Objective: To identify and use inductive and deductive reasoning
3 Logic Disproof of Counter Example
Objective: To identify a statement as a counter example to disprove a statement
4 Logic Proof by Disproof of a Contradictory Statement
Objective: To prove that a statement is true by proving that the contradictory statement is false
5 Logic Mathematical induction
Objective: To use proof by mathematical induction
6 Logic Conditional statements (converse, inverse and contrapositive) (Stage 2)
Objective: On completion of the lesson the student will be able to form related conditional statements.
7 Trigonometry part 1 Trigonometric Ratios
Objective: To name the sides of a right-angled triangle and to determine the trig ratios of an angle
8 Trigonometry part 1 Using the Calculator
Objective: To determine trigonometric ratios using a calculator
9 Trigonometry part 1 Using 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
10 Trigonometry part 1 Using 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
11 Trigonometry part 1 Using 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
12 Trigonometry part 1 Unknown in the Denominator [Case 4]
Objective: To use trigonometry to find sides of a right-angled triangle and the Unknown in denominator
13 Trigonometry part 1 Bearings: The Compass
Objective: To change from true bearings to compass bearings and vice versa
14 Trigonometry part 1 Angles of Elevation and Depression
Objective: To identify and distinguish between angles of depression and elevation
15 Trigonometry part 1 Trigonometric Ratios in Practical Situations
Objective: To solve problems involving bearings and angles of elevation and depression
16 Trigonometry part 1 Using the Calculator to Find an Angle Given a Trigonometric Ratio
Objective: To find angles in right-angled triangles given trigonometric ratios
17 Trigonometry part 1 Using 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
18 Trigonometry part 1 Trigonometric 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
19 Trigonometry part 1 The Cosine Rule to find an unknown side [Case 1 SAS]
Objective: To complete the cosine rule to find a subject side for given triangles
20 Trigonometry part 1 The Sine Rule to find an unknown side: Case 1
Objective: To complete the cosine rule to find a subject angle for given triangles
21 Trigonometry part 1 The Sine Rule: Finding a Side
Objective: To find an unknown side of a triangle using the sine rule
22 Trigonometry part 1 The Sine Rule: Finding an Angle
Objective: To find an unknown angle of a triangle using the sine rule
23 Trigonometry part 1 The Sine Area Formula for a Triangle
Objective: To use the sine formula for the area of a triangle to calculate area
24 Co-ordinate geometry part 1 The Gradient
Objective: To find the gradient of a line given its angle of inclination or given rise and run
25 Statistics part 1 Frequency distribution table
Objective: To construct a frequency distribution table for raw data and to interpret the table
26 Statistics part 1 Frequency histograms and polygons
Objective: To construct and interpret frequency histograms and polygons
27 Statistics part 1 Relative Frequency
Objective: To extend the frequency distribution table to include a relative frequency column
28 Statistics part 1 The Range
Objective: To determine the range of data in either raw form or in a frequency distribution table
29 Statistics part 1 The Mode
Objective: To find the mode from raw data and from a frequency distribution table
30 Statistics part 1 The Mean
Objective: To calculate means from raw data and from a frequency table using an fx column
31 Statistics part 1 The Median
Objective: To determine the median of a set of raw scores
32 Statistics part 1 Cumulative Frequency
Objective: To construct cumulative frequency columns, histograms and polygons
33 Statistics part 1 Calculating the Mean from a Frequency Distribution
Objective: To determine averages (mean, median and mode) from cumulative frequency polygons
34 Probability The Binomial Theorem and Binomial Coefficients
Objective: To calculate binomial coefficients and expand binomial powers.
35 Probability Simple events
Objective: To find the probability of events using sample space and event set (E) and P(E) = n(E)/n(S)
36 Probability Rolling a pair of dice
Objective: To find the probability of selected events when two dice are rolled
37 Probability Experimental probability
Objective: To find the experimental probabilities of an experimental trial
38 Probability Experimental probability
Objective: To use tree diagrams to determine sample spaces and compound probabilities
39 Probability Tree diagrams: depending on previous outcomes
Objective: To use tree diagrams where the probability is dependent on previous outcomes
40 Probability The Complementary Result
Objective: To calculate the probability of complementary events using P(E) = 1 – P(not E)
41 Probability P[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)
42 Probability Binomial probabilities using the Binomial Theorem
Objective: To calculate the binomial probability of a given number of successful trials
43 Probability Counting techniques and ordered selections
Objective: To use counting techniques in probability
44 Probability Unordered selections – combinations
Objective: To use the nCr formula to solve problems where unordered selections occur
45 Matrices Matrices: basic concepts
Objective: To write and state the order of a matrix and to identify square matrices
46 Matrices Addition and Subtraction of Matrices
Objective: To add and subtract matrices
47 Matrices Scalar matrix: multiplication
Objective: To multiply a matrix by a scalar
48 Matrices Multiplication of one matrix by another matrix
Objective: To perform matrix multiplication and to recognise that AB is not equal to BA
49 Matrices Translation in the number plane
Objective: To use matrix addition to translate points
50 Matrices Translation by matrix multiplication
Objective: To transform points and objects by matrix multiplication
51 Matrices Special Transformations: Reflections, Rotations and Enlargements
Objective: To reflect, rotate and enlarge geometric shapes using matrix multiplication
52 Matrices Vectors
Objective: To use vectors to find resultant speeds and displacements
53 Matrices – Linear systems Number of Solutions
Objective: To determine solutions to systems of equations
54 Matrices – Linear systems Vector Addition in 2 and 3D
Objective: To represent, add, subtract and determine the direction of vectors
55 Matrices – Linear systems Optimal Solutions
Objective: To use linear programming to maximise or minimise an objective function
56 Matrices – Linear systems Linear Systems with Matrices
Objective: To identify and describe matrices and perform row operations in matrices
57 Matrices – Linear systems Row Echelon Form
Objective: To identify and create matrices in row echelon form and to solve systems of equations
58 Matrices – Linear systems Gauss Jordan Elimination
Objective: To use the Gauss Jordan Elimination Method to solve systems of linear equations
59 Graphs part 2 Graphing complex polynomials: quadratics with no real roots
Objective: To graph quadratics that have no real roots, hence don’t cut the x-axis
60 Graphs part 2 General 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)
61 Graphs part 2 Graphing cubic curves
Objective: To graph cubic curves whose equation is of the form y = (x – a)^3 + b or y = (a – x)^3 + b
62 Graphs part 2 Absolute Value Equations
Objective: To graph equations involving absolute values
63 Graphs part 2 The Rectangular Hyperbola
Objective: To graph rectangular hyperbolae whose equations are of the form xy = a and y = a/x
64 Graphs part 2 The Exponential Function
Objective: To graph exponential curves whose exponents are either positive or negative
65 Graphs part 2 Logarithmic Functions
Objective: To graph and describe log curves whose equations are of the form y = log (ax + b)
66 Conic sections Introduction 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
67 Conic sections The Parabola
Objective: To examine the properties of parabolas of the forms x^2 = 4py and y^2 = 4px
68 Conic sections Circles
Objective: To graph circles of the form x^2 + y^2 = r^2 and to form the equation of the given circles
69 Conic sections The Ellipsis
Objective: To identify ellipses of the form x^2/a^2 + y^2/b^2 = 1 and to find the equation of ellipses
70 Conic sections The Hyperbola
Objective: To find the equation of a hyperbola and to derive properties (e.g. vertex) from its equation
71 Function Functions and Relations: domain and range
Objective: To identify and represent functions and relations
72 Function Function Notation
Objective: To write and evaluate functions using function notation
73 Function Selecting Appropriate Domain and Range
Objective: To determine appropriate domains for functions
74 Function Domain and Range from Graphical Representations
Objective: To determine the range of a function from its graphical representation
75 Function Evaluating and Graphing Piecewise Functions
Objective: To evaluate and graph piecewise functions
76 Function Combining Functions
Objective: To determine the resultant function after functions have been combined by plus, minus, times and divide
77 Function Simplifying Composite Functions
Objective: To simplify, evaluate and determine the domain of composite functions
78 Function Inverse Functions
Objective: To find the inverse of a function and determine whether this inverse is itself a function
79 Function Graphing Rational Functions Part 1
Objective: To determine asymptotes and graph rational functions using intercepts and asymptotes
80 Function Graphing Rational Functions Part 2
Objective: To determine asymptotes and graph rational functions
81 Function Parametric Equations
Objective: To interchange parametric and Cartesian equations and to identify graphs
82 Function Polynomial Addition: in Combining and Simplifying Functions
Objective: To evaluate, simplify and graph rational functions
83 Function Parametric Functions
Objective: To change Cartesian and parametric equations and to graph parametric functions
84 Statistics part 2 Calculating mean, mode and median from grouped data
Objective: To identify class centres, get frequency counts and determine mean, mode and median values
85 Statistics part 2 Using the Calculator for Statistics
Objective: To find a mean, using a data set or a frequency distribution table and calculator.
86 Statistics part 2 Measures of Spread
Objective: To determine a range and use it in decision making
87 Statistics part 2 Standard deviation applications
Objective: To find a standard deviation, using a data set or a frequency distribution table and calculator
88 Statistics part 2 Applications of Standard Deviation
Objective: To use standard deviation as a measure of deviation from a mean
89 Statistics part 2 The Normal Distribution
Objective: To use the standard deviation of a normal distribution to find a percentage of scores within ranges
90 Statistics part 2 Measures of Spread: the interquartile range
Objective: To find the upper and lower quartiles and the interquartile range
91 Statistics part 1 Stem and Leaf Plots along with Box and Whisker Plots
Objective: To derive statistics from data represented as stem & leaf or box & whisker plots
92 Statistics part 1 The Scatter plot
Objective: To make a valid interpretation of data presented as a scatter plot
93 Trigonometry part 2 Reciprocal Ratios
Objective: To find the trigonometric ratios for a given right-angled triangle
94 Trigonometry part 2 Complementary Angle Results
Objective: To use complementary angle ratios to find an unknown angle given a trigonometric equality
95 Trigonometry part 2 Trigonometric Identities
Objective: To simplify expressions using trigonometric equalities
96 Trigonometry part 2 Angles of Any Magnitude
Objective: To assign angles to quadrants and to find trigonometric values for angles
97 Trigonometry part 2 Trigonometric ratios of 0°, 90°, 180°, 270° and 360°
Objective: To find trigonometric ratios of 0, 90, 180, 270 and 360 degrees
98 Trigonometry part 2 Graphing the Trigonometric Ratios I: Sine Curve
Objective: To recognise the sine curve and explore shifts of phase and amplitude
99 Trigonometry part 2 Graphing the Trigonometric Ratios II: Cosine Curve
Objective: To recognise the cosine curve and explore shifts of phase and amplitude
100 Trigonometry part 2 Graphing the Trigonometric Ratios III: Tangent Curve
Objective: To recognise the tangent curve and explore shifts of phase and amplitude
101 Trigonometry part 2 Graphing the Trigonometric Ratios IV: Reciprocal Ratios
Objective: To graph the primary trigonometric functions and their inverses
102 Trigonometry part 2 Using One Trig. Ratio to Find Another
Objective: To derive trig ratios complement from one given trig ratio + some other quadrant identifier.
103 Trigonometry part 2 Solving Trigonometric Equations – Type I
Objective: To Solve trigonometric equations for angles from 0 to 360 degrees.
104 Trigonometry part 2 Solving Trigonometric Equations – Type II
Objective: To solve trigonometric equations for angles from 0 to 360 degrees.
105 Trigonometry part 2 Solving Trigonometric Equations – Type III
Objective: To solve trigonometric equations using tan? = sin?/cos?.
106 Polar coordinates Polar Coordinates – Plotting and Converting
Objective: To plot polar points and convert polar coordinates to rectangular coordinates
107 Polar coordinates Converting Rectangular Coordinates to Polar Form
Objective: To convert rectangular to polar coordinates
108 Polar coordinates Graphing Polar Functions
Objective: To write the polar coordinates of a point for selected argument ranges
109 Trigonometry part 2 Trigonometric Sum and Difference Identities
Objective: To evaluate trig functions of angles using sum and difference identities
110 Trigonometry part 2 Double Angle Identities
Objective: To use double angle identities to evaluate trig. functions and solve trig equations
111 Trigonometry part 2 Half-angle Identities
Objective: To evaluate trig. functions of angles using half-angle identities
112 Trigonometry part 2 t Formulas
Objective: To write t-formulae for trig. functions. To solve equations using t-formulae
113 Logarithms The Graph of the Logarithmic Curve
Objective: To solve problems involving logarithmic curves
114 Complex numbers Complex Numbers: Adding and Subtracting
Objective: To recognise and manipulate simple complex numbers and expressions
115 Complex numbers Complex Numbers: Multiplying and Dividing
Objective: To perform multiplication and division of complex numbers
116 Complex numbers Adding and Subtracting Complex Numbers using Vectors
Objective: To perform complex number operations graphically using vectors
117 Complex numbers The Absolute Value of a Complex Number
Objective: To find the absolute value of a complex number
118 Complex numbers Trigonometric Form of a Complex Number
Objective: To find the trigonometric form of a complex number
119 Complex numbers Multiplication and Division of Complex Numbers in Trigonometric Form
Objective: To multiply and divide complex numbers using DeMoivre’s Theorem
120 Complex numbers DeMoivre’s theorem
Objective: To find powers of complex numbers using DeMoivre’s theorem
121 Complex numbers The nth Root of Real and Complex Numbers
Objective: To find the roots of a complex function using DeMoivre’s theorem
122 Complex numbers Fundamental Theorem of Algebra
Objective: To find the nth zeros of a polynomial function both real and complex
123 Polynomials Introduction to polynomials
Objective: To define polynomials by degree, leading term, leading coefficient, constant term and monic
124 Polynomials The Sum, Difference and Product of Two Polynomials
Objective: To add, subtract and multiply polynomials
125 Polynomials Polynomials and Long Division
Objective: To perform long division of polynomials, finding quotient and remainder
126 Polynomials The Remainder Theorem
Objective: To determine a remainder when a first polynomial is divided by a second
127 Polynomials More on Remainder Theorem
Objective: To determine polynomial coefficients given a divisor and remainder
128 Polynomials The factor theorem
Objective: To use the factor theorem to show that (x-a) is a factor of P(x)
129 Polynomials More on the factor theorem
Objective: To use the factor theorem to find algebraic variables in polynomials
130 Polynomials Complete factorisations using the factor theorem
Objective: To use the factor theorem to derive factors of a polynomial
131 Polynomials Polynomial equations
Objective: To practise solving polynomial equations
132 Polynomials Graphs of polynomials
Objective: To derive graphs of polynomials by factorising
133 Polynomials The Sum and Product of the Roots of Quadratic Equations.
Objective: Sum and product of roots of quadratic equations.
134 Polynomials The Sum and Product of the Roots of Cubic and Quartic Equations.
Objective: Sum and product of toots of cubic and quartic equations.
135 Polynomials Methods of Approximating Roots.
Objective: Methods of approximating roots.
136 Polynomials Newton’s Method of Approximation.
Objective: Newton’s method of approximation.
137 Calculus part 1 Limits
Objective: To find the limit value of a function as x approaches n
138 Calculus part 1 Differentiation from First Principles
Objective: To differentiate functions from first principles
139 Calculus part 1 Differentiation of y = x to the power of n
Objective: To differentiate algebraic functions using the laws of differentiation
140 Calculus part 1 Meaning of dy over dx – Equations of Tangents and Normals
Objective: To find and use the slope of tangents and normals
141 Calculus part 1 Function of a Function Rule, Product Rule, Quotient Rule.
Objective: To differentiate functions using the product, quotient and chain rules.
142 Calculus part 1 Increasing, Decreasing and Stationary Functions.
Objective: To determine values of x for which f(x) is increasing, decreasing or stationary.
143 Calculus part 1 The Second Derivative – Concavity.
Objective: To determine concavity of a curve at a point using the second derivative.
144 Calculus part 1 Classification of Stationary Points.
Objective: To Locate and describe stationary points and points of inflection using differention.
145 Series and sequences part 2 Geometric Means
Objective: To find geometric means of a and b and insert geometric means between 2 endpoints
146 Series and sequences part 2 The sum to n terms of a G.P.
Objective: To find the sum of n terms of a sequence
147 Series and sequences part 2 Sigma notation
Objective: To evaluate progressions using sigma notation
148 Series and sequences part 2 Limiting Sum or Sum to Infinity
Objective: To find the limiting sum of a sequence
149 Series and sequences part 2 Recurring Decimals and the Infinite G.P.
Objective: To express recurring decimals as a G.P. and to express the limiting sum as a fraction
150 Series and sequences part 2 Compound Interest
Objective: To calculate the compound interest of an investment using A=P(1+r/100)^n
151 Series and sequences part 2 Superannuation
Objective: To calculate the end value of adding a regular amount to a fund with stable interest paid over time
152 Series and sequences part 2 Time Payments
Objective: To calculate the payments required to pay off a loan
153 Calculus part 2 Curve Sketching.
Objective: To practice curve sketching of polynomials using calculus techniques.
154 Calculus part 2 Practical Applications of Maxima and Minima.
Objective: To use maxima and minima to solve practical problems.
155 Calculus part 2 Antidifferentiation – Primitive Function.
Objective: To find primitive functions using antidifferentiation.
156 Calculus part 2 Computation of Areas.
Objective: To calculate areas under curves using integration.
157 Calculus part 2 Computation of Volumes of Revolution.
Objective: To calculate the volume of a solid using integration.
158 Calculus part 2 The Trapezoidal rule and Simpson’s rule
Objective: To use Simpson’s rule to determine area under a curve.
159 Exam Exam – SAT Extension
Objective: Exam
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SAT All Lessons Mathematics

# TOPIC TITLE
1 Study Plan Study plan – SAT All Lessons
Objective: On completion of the course formative assessment a tailored study plan is created identifying the lessons requiring revision.
2 Logic Inductive and Deductive Reasoning
Objective: To identify and use inductive and deductive reasoning
3 Logic Disproof of Counter Example
Objective: To identify a statement as a counter example to disprove a statement
4 Logic Proof by Disproof of a Contradictory Statement
Objective: To prove that a statement is true by proving that the contradictory statement is false
5 Logic Mathematical induction
Objective: To use proof by mathematical induction
6 Trigonometry part 1 Using 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
7 Trigonometry part 1 Using 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
8 Trigonometry part 1 Using 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
9 Trigonometry part 1 Unknown in the Denominator [Case 4]
Objective: To use trigonometry to find sides of a right-angled triangle and the Unknown in denominator
10 Trigonometry part 1 Bearings: The Compass
Objective: To change from true bearings to compass bearings and vice versa
11 Trigonometry part 1 Angles of Elevation and Depression
Objective: To identify and distinguish between angles of depression and elevation
12 Trigonometry part 1 Trigonometric Ratios in Practical Situations
Objective: To solve problems involving bearings and angles of elevation and depression
13 Trigonometry part 1 Using the Calculator to Find an Angle Given a Trigonometric Ratio
Objective: To find angles in right-angled triangles given trigonometric ratios
14 Trigonometry part 1 Using 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
15 Trigonometry part 1 Trigonometric 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
16 Trigonometry part 1 The Cosine Rule to find an unknown side [Case 1 SAS]
Objective: To complete the cosine rule to find a subject side for given triangles
17 Trigonometry part 1 The Sine Rule to find an unknown side: Case 1
Objective: To complete the cosine rule to find a subject angle for given triangles
18 Trigonometry part 1 The Sine Rule: Finding a Side
Objective: To find an unknown side of a triangle using the sine rule
19 Trigonometry part 1 The Sine Rule: Finding an Angle
Objective: To find an unknown angle of a triangle using the sine rule
20 Trigonometry part 1 The Sine Area Formula for a Triangle
Objective: To use the sine formula for the area of a triangle to calculate area
21 Co-ordinate geometry part 1 The Gradient
Objective: To find the gradient of a line given its angle of inclination or given rise and run
22 Statistics part 1 Frequency distribution table
Objective: To construct a frequency distribution table for raw data and to interpret the table
23 Statistics part 1 Frequency histograms and polygons
Objective: To construct and interpret frequency histograms and polygons
24 Statistics part 1 Relative Frequency
Objective: To extend the frequency distribution table to include a relative frequency column
25 Statistics part 1 The Range
Objective: To determine the range of data in either raw form or in a frequency distribution table
26 Statistics part 1 The Mode
Objective: To find the mode from raw data and from a frequency distribution table
27 Statistics part 1 The Mean
Objective: To calculate means from raw data and from a frequency table using an fx column
28 Statistics part 1 The Median
Objective: To determine the median of a set of raw scores
29 Statistics part 1 Cumulative Frequency
Objective: To construct cumulative frequency columns, histograms and polygons
30 Statistics part 1 Calculating the Mean from a Frequency Distribution
Objective: To determine averages (mean, median and mode) from cumulative frequency polygons
31 Probability The Binomial Theorem and Binomial Coefficients
Objective: To calculate binomial coefficients and expand binomial powers.
32 Probability Simple events
Objective: To find the probability of events using sample space and event set (E) and P(E) = n(E)/n(S)
33 Probability Rolling a pair of dice
Objective: To find the probability of selected events when two dice are rolled
34 Probability Experimental probability
Objective: To find the experimental probabilities of an experimental trial
35 Probability Experimental probability
Objective: To use tree diagrams to determine sample spaces and compound probabilities
36 Probability Tree diagrams: depending on previous outcomes
Objective: To use tree diagrams where the probability is dependent on previous outcomes
37 Probability The Complementary Result
Objective: To calculate the probability of complementary events using P(E) = 1 – P(not E)
38 Probability P[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)
39 Probability Binomial probabilities using the Binomial Theorem
Objective: To calculate the binomial probability of a given number of successful trials
40 Probability Counting techniques and ordered selections
Objective: To use counting techniques in probability
41 Probability Unordered selections – combinations
Objective: To use the nCr formula to solve problems where unordered selections occur
42 Matrices Matrices: basic concepts
Objective: To write and state the order of a matrix and to identify square matrices
43 Matrices Addition and Subtraction of Matrices
Objective: To add and subtract matrices
44 Matrices Scalar matrix: multiplication
Objective: To multiply a matrix by a scalar
45 Matrices Multiplication of one matrix by another matrix
Objective: To perform matrix multiplication and to recognise that AB is not equal to BA
46 Matrices Translation in the number plane
Objective: To use matrix addition to translate points
47 Matrices Translation by matrix multiplication
Objective: To transform points and objects by matrix multiplication
48 Matrices Special Transformations: Reflections, Rotations and Enlargements
Objective: To reflect, rotate and enlarge geometric shapes using matrix multiplication
49 Matrices Vectors
Objective: To use vectors to find resultant speeds and displacements
50 Matrices – Linear systems Number of Solutions
Objective: To determine solutions to systems of equations
51 Matrices – Linear systems Vector Addition in 2 and 3D
Objective: To represent, add, subtract and determine the direction of vectors
52 Matrices – Linear systems Optimal Solutions
Objective: To use linear programming to maximise or minimise an objective function
53 Matrices – Linear systems Linear Systems with Matrices
Objective: To identify and describe matrices and perform row operations in matrices
54 Matrices – Linear systems Row Echelon Form
Objective: To identify and create matrices in row echelon form and to solve systems of equations
55 Matrices – Linear systems Gauss Jordan Elimination
Objective: To use the Gauss Jordan Elimination Method to solve systems of linear equations
56 Graphs part 2 Graphing complex polynomials: quadratics with no real roots
Objective: To graph quadratics that have no real roots, hence don’t cut the x-axis
57 Graphs part 2 General 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)
58 Graphs part 2 Graphing cubic curves
Objective: To graph cubic curves whose equation is of the form y = (x – a)^3 + b or y = (a – x)^3 + b
59 Graphs part 2 Absolute Value Equations
Objective: To graph equations involving absolute values
60 Graphs part 2 The Rectangular Hyperbola
Objective: To graph rectangular hyperbolae whose equations are of the form xy = a and y = a/x
61 Graphs part 2 The Exponential Function
Objective: To graph exponential curves whose exponents are either positive or negative
62 Graphs part 2 Logarithmic Functions
Objective: To graph and describe log curves whose equations are of the form y = log (ax + b)
63 Conic sections Introduction 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
64 Conic sections The Parabola
Objective: To examine the properties of parabolas of the forms x^2 = 4py and y^2 = 4px
65 Conic sections Circles
Objective: To graph circles of the form x^2 + y^2 = r^2 and to form the equation of the given circles
66 Conic sections The Ellipsis
Objective: To identify ellipses of the form x^2/a^2 + y^2/b^2 = 1 and to find the equation of ellipses
67 Conic sections The Hyperbola
Objective: To find the equation of a hyperbola and to derive properties (e.g. vertex) from its equation
68 Function Functions and Relations: domain and range
Objective: To identify and represent functions and relations
69 Function Function Notation
Objective: To write and evaluate functions using function notation
70 Function Selecting Appropriate Domain and Range
Objective: To determine appropriate domains for functions
71 Function Domain and Range from Graphical Representations
Objective: To determine the range of a function from its graphical representation
72 Function Evaluating and Graphing Piecewise Functions
Objective: To evaluate and graph piecewise functions
73 Function Combining Functions
Objective: To determine the resultant function after functions have been combined by plus, minus, times and divide
74 Function Simplifying Composite Functions
Objective: To simplify, evaluate and determine the domain of composite functions
75 Function Inverse Functions
Objective: To find the inverse of a function and determine whether this inverse is itself a function
76 Function Graphing Rational Functions Part 1
Objective: To determine asymptotes and graph rational functions using intercepts and asymptotes
77 Function Graphing Rational Functions Part 2
Objective: To determine asymptotes and graph rational functions
78 Function Parametric Equations
Objective: To interchange parametric and Cartesian equations and to identify graphs
79 Function Polynomial Addition: in Combining and Simplifying Functions
Objective: To evaluate, simplify and graph rational functions
80 Function Parametric Functions
Objective: To change Cartesian and parametric equations and to graph parametric functions
81 Statistics part 2 Calculating mean, mode and median from grouped data
Objective: To identify class centres, get frequency counts and determine mean, mode and median values
82 Statistics part 2 Using the Calculator for Statistics
Objective: To find a mean, using a data set or a frequency distribution table and calculator.
83 Statistics part 2 Measures of Spread
Objective: To determine a range and use it in decision making
84 Statistics part 2 Standard deviation applications
Objective: To find a standard deviation, using a data set or a frequency distribution table and calculator
85 Statistics part 2 Applications of Standard Deviation
Objective: To use standard deviation as a measure of deviation from a mean
86 Statistics part 2 The Normal Distribution
Objective: To use the standard deviation of a normal distribution to find a percentage of scores within ranges
87 Statistics part 2 Measures of Spread: the interquartile range
Objective: To find the upper and lower quartiles and the interquartile range
88 Statistics part 1 Stem and Leaf Plots along with Box and Whisker Plots
Objective: To derive statistics from data represented as stem & leaf or box & whisker plots
89 Statistics part 1 The Scatter plot
Objective: To make a valid interpretation of data presented as a scatter plot
90 Trigonometry part 2 Reciprocal Ratios
Objective: To find the trigonometric ratios for a given right-angled triangle
91 Trigonometry part 2 Complementary Angle Results
Objective: To use complementary angle ratios to find an unknown angle given a trigonometric equality
92 Trigonometry part 2 Trigonometric Identities
Objective: To simplify expressions using trigonometric equalities
93 Trigonometry part 2 Angles of Any Magnitude
Objective: To assign angles to quadrants and to find trigonometric values for angles
94 Trigonometry part 2 Trigonometric ratios of 0°, 90°, 180°, 270° and 360°
Objective: To find trigonometric ratios of 0, 90, 180, 270 and 360 degrees
95 Trigonometry part 2 Graphing the Trigonometric Ratios I: Sine Curve
Objective: To recognise the sine curve and explore shifts of phase and amplitude
96 Trigonometry part 2 Graphing the Trigonometric Ratios II: Cosine Curve
Objective: To recognise the cosine curve and explore shifts of phase and amplitude
97 Trigonometry part 2 Graphing the Trigonometric Ratios III: Tangent Curve
Objective: To recognise the tangent curve and explore shifts of phase and amplitude
98 Trigonometry part 2 Graphing the Trigonometric Ratios IV: Reciprocal Ratios
Objective: To graph the primary trigonometric functions and their inverses
99 Trigonometry part 2 Solving Trigonometric Equations – Type I
Objective: To Solve trigonometric equations for angles from 0 to 360 degrees.
100 Trigonometry part 2 Solving Trigonometric Equations – Type II
Objective: To solve trigonometric equations for angles from 0 to 360 degrees.
101 Trigonometry part 2 Solving Trigonometric Equations – Type III
Objective: To solve trigonometric equations using tan? = sin?/cos?.
102 Polar coordinates Polar Coordinates – Plotting and Converting
Objective: To plot polar points and convert polar coordinates to rectangular coordinates
103 Polar coordinates Converting Rectangular Coordinates to Polar Form
Objective: To convert rectangular to polar coordinates
104 Polar coordinates Graphing Polar Functions
Objective: To write the polar coordinates of a point for selected argument ranges
105 Trigonometry part 2 Trigonometric Sum and Difference Identities
Objective: To evaluate trig functions of angles using sum and difference identities
106 Trigonometry part 2 Double Angle Identities
Objective: To use double angle identities to evaluate trig. functions and solve trig equations
107 Trigonometry part 2 Half-angle Identities
Objective: To evaluate trig. functions of angles using half-angle identities
108 Trigonometry part 2 t Formulas
Objective: To write t-formulae for trig. functions. To solve equations using t-formulae
109 Complex numbers Complex Numbers: Adding and Subtracting
Objective: To recognise and manipulate simple complex numbers and expressions
110 Complex numbers Complex Numbers: Multiplying and Dividing
Objective: To perform multiplication and division of complex numbers
111 Complex numbers Adding and Subtracting Complex Numbers using Vectors
Objective: To perform complex number operations graphically using vectors
112 Complex numbers The Absolute Value of a Complex Number
Objective: To find the absolute value of a complex number
113 Complex numbers Trigonometric Form of a Complex Number
Objective: To find the trigonometric form of a complex number
114 Complex numbers Multiplication and Division of Complex Numbers in Trigonometric Form
Objective: To multiply and divide complex numbers using DeMoivre’s Theorem
115 Complex numbers DeMoivre’s theorem
Objective: To find powers of complex numbers using DeMoivre’s theorem
116 Complex numbers The nth Root of Real and Complex Numbers
Objective: To find the roots of a complex function using DeMoivre’s theorem
117 Complex numbers Fundamental Theorem of Algebra
Objective: To find the nth zeros of a polynomial function both real and complex
118 Polynomials Introduction to polynomials
Objective: To define polynomials by degree, leading term, leading coefficient, constant term and monic
119 Polynomials The Sum, Difference and Product of Two Polynomials
Objective: To add, subtract and multiply polynomials
120 Polynomials Polynomials and Long Division
Objective: To perform long division of polynomials, finding quotient and remainder
121 Polynomials The Remainder Theorem
Objective: To determine a remainder when a first polynomial is divided by a second
122 Polynomials More on Remainder Theorem
Objective: To determine polynomial coefficients given a divisor and remainder
123 Polynomials The factor theorem
Objective: To use the factor theorem to show that (x-a) is a factor of P(x)
124 Polynomials More on the factor theorem
Objective: To use the factor theorem to find algebraic variables in polynomials
125 Polynomials Complete factorisations using the factor theorem
Objective: To use the factor theorem to derive factors of a polynomial
126 Polynomials Polynomial equations
Objective: To practise solving polynomial equations
127 Polynomials Graphs of polynomials
Objective: To derive graphs of polynomials by factorising
128 Polynomials The Sum and Product of the Roots of Quadratic Equations.
Objective: Sum and product of roots of quadratic equations.
129 Polynomials The Sum and Product of the Roots of Cubic and Quartic Equations.
Objective: Sum and product of toots of cubic and quartic equations.
130 Polynomials Methods of Approximating Roots.
Objective: Methods of approximating roots.
131 Polynomials Newton’s Method of Approximation.
Objective: Newton’s method of approximation.
132 Calculus part 1 Limits
Objective: To find the limit value of a function as x approaches n
133 Calculus part 1 Differentiation from First Principles
Objective: To differentiate functions from first principles
134 Calculus part 1 Differentiation of y = x to the power of n
Objective: To differentiate algebraic functions using the laws of differentiation
135 Calculus part 1 Meaning of dy over dx – Equations of Tangents and Normals
Objective: To find and use the slope of tangents and normals
136 Calculus part 1 Function of a Function Rule, Product Rule, Quotient Rule.
Objective: To differentiate functions using the product, quotient and chain rules.
137 Calculus part 1 Increasing, Decreasing and Stationary Functions.
Objective: To determine values of x for which f(x) is increasing, decreasing or stationary.
138 Calculus part 1 The Second Derivative – Concavity.
Objective: To determine concavity of a curve at a point using the second derivative.
139 Calculus part 1 Classification of Stationary Points.
Objective: To Locate and describe stationary points and points of inflection using differention.
140 Series and sequences part 2 Geometric Means
Objective: To find geometric means of a and b and insert geometric means between 2 endpoints
141 Series and sequences part 2 The sum to n terms of a G.P.
Objective: To find the sum of n terms of a sequence
142 Series and sequences part 2 Sigma notation
Objective: To evaluate progressions using sigma notation
143 Series and sequences part 2 Limiting Sum or Sum to Infinity
Objective: To find the limiting sum of a sequence
144 Series and sequences part 2 Recurring Decimals and the Infinite G.P.
Objective: To express recurring decimals as a G.P. and to express the limiting sum as a fraction
145 Series and sequences part 2 Compound Interest
Objective: To calculate the compound interest of an investment using A=P(1+r/100)^n
146 Series and sequences part 2 Superannuation
Objective: To calculate the end value of adding a regular amount to a fund with stable interest paid over time
147 Series and sequences part 2 Time Payments
Objective: To calculate the payments required to pay off a loan
148 Calculus part 2 Curve Sketching.
Objective: To practice curve sketching of polynomials using calculus techniques.
149 Calculus part 2 Practical Applications of Maxima and Minima.
Objective: To use maxima and minima to solve practical problems.
150 Calculus part 2 Antidifferentiation – Primitive Function.
Objective: To find primitive functions using antidifferentiation.
151 Calculus part 2 Computation of Areas.
Objective: To calculate areas under curves using integration.
152 Calculus part 2 Computation of Volumes of Revolution.
Objective: To calculate the volume of a solid using integration.
153 Calculus part 2 The Trapezoidal rule and Simpson’s rule
Objective: To use Simpson’s rule to determine area under a curve.
154 Exam Exam – SAT All Lessons
Objective: Exam
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Literacy

Kindergarten/Year 1 Literacy

# TOPIC TITLE
1 Do you like hamburgers? It’s the alphabet!
Objective: Students will develop their listening skills and practise saying the alphabet.
2 It’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.
3 Hello! 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.
4 Hello! 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.
5 Eight Purple Stars! Ten Little Pandas Full lesson available
Objective: Students will read a picture story and practise the numbers 1-10.
6 Eight 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 …’.
7 Fun at School This 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 …’.
8 What’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?’.
9 What’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 …?’.
10 A New Boy at School A 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.
11 A New Boy at School Where’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.
12 My Family Where’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’.
13 My Family My 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’.
14 About People That’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’.
15 About People These 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.
16 Animal 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.
17 Animal Mania! A Very Tall Giraffe
Objective: Students will develop their comprehension skills by reading a text about animals in which more adjectives are used.
18 We 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.
19 We 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.
20 Do you like hamburgers? At a Café
Objective: Students will develop their comprehension skills by reading a picture story about food preferences.
21 Do 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.
22 It’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.
23 It’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.
24 It’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’.
25 Sentences The Sentence
Objective: To identify and use complete sentences.
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Year 2 Literacy

# TOPIC TITLE
1 It’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.
2 It’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.
3 It’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’.
4 School and Play I 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.
5 School and Play On the Weekend
Objective: Students will practise reading and recognising simple sentences about weekend activities.
6 It’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.
7 It’s Christmas time! Festivals are fun!
Objective: Students will develop their comprehension skills by reading a short text about Christmas and Chinese New Year.
8 I walk in the summer. The Seasons
Objective: Students will develop their reading skills and practise new words to describe the seasons.
9 I 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.
10 What’s the weather like today? It’s a sunny day!
Objective: Students will develop their comprehension skills by reading a story about the weather.
11 What 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.
12 What 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.
13 They’re usually in the lounge room. Hide and Seek
Objective: Students will develop their comprehension skills by reading a story about finding people.
14 They’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.
15 Left! 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.
16 Left! 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.
17 Up, 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.
18 Up, 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.
19 Sentences The Sentence
Objective: To identify and use complete sentences.
20 Spelling Spelling
Objective: To use the ‘Look, Say, Write’ method for learning spelling. Plus 300 spelling words.
21 Capitalisation Capital Letters 1
Objective: To use capital letters correctly: to begin sentences, for proper nouns.
22 Vowels and Consonants Vowels and Consonants
Objective: To identify and use vowels and consonants.
23 Common Nouns Common Nouns
Objective: To show a common noun names an object or thing.
24 Punctuation Sentence Endings
Objective: To use full-stops, question marks, exclamation marks and capital letters correctly.
25 Verbs Simple 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

# TOPIC TITLE
1 We’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’.
2 We’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.
3 I 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.
4 I 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.
5 Can 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.
6 Oh, 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.
7 Oh, 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.
8 It’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.
9 It’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.
10 Maybe 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.
11 Maybe 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.
12 First 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.
13 First 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.
14 We 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.
15 We 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’.
16 First 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’.
17 First 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.
18 On 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.
19 On 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.
20 Sentences The Sentence
Objective: To identify and use complete sentences.
21 Spelling Spelling
Objective: To use the ‘Look, Say, Write’ method for learning spelling. Plus 300 spelling words.
22 Capitalisation Capital Letters 1
Objective: To use capital letters correctly: to begin sentences, for proper nouns.
23 Vowels and Consonants Vowels and Consonants
Objective: To identify and use vowels and consonants.
24 Common Nouns Common Nouns
Objective: To show a common noun names an object or thing.
25 Punctuation Sentence Endings
Objective: To use full-stops, question marks, exclamation marks and capital letters correctly.
26 Verbs Simple Verbs
Objective: To identify and use verbs. To understand a verb can be: an action or doing word, a state of being or ownership.
27 Vowels Vowels – Long and Short
Objective: To identify long and short vowel sounds, and their use.
28 Plurals Plurals 1 – simple
Objective: To form plurals (more than one) by adding ‘s’ and ‘es’ correctly.
29 Basic Dictionary Use Basic Dictionary Use
Objective: To find words arranged alphabetically and identify word meanings in dictionaries.
30 Nouns Proper Nouns
Objective: To show a proper noun is used to name a person, place or a title.
31 Adjectives Adjectives
Objective: To show an adjective is a word that describes a noun.
32 Adverbs Adverbs
Objective: To identify and use adverbs. To understand an adverb tells something about (modifies) a verb.
33 Pronouns Pronouns
Objective: To show a pronoun is used in place of a noun.
34 Parts of Speech Part b Conjunctions
Objective: To identify and use conjunctions correctly.
35 Common Errors Common Errors in spelling and punctuation
Objective: To identify and eliminate common errors.
36 Punctuation Commas 1
Objective: To use commas: to list, to make meaning clear, and when writing the date.
37 Contractions Contractions
Objective: To identify and use contractions.
38 Other Places and Other Times A 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.
39 Other Places and Other Times Will we have robots?
Objective: Students will develop their comprehension skills by reading a text in which the future tense is used.
40 It 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

# TOPIC TITLE
1 It 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.
2 We 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.
3 We 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.
4 They 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.
5 They 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.
6 There 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.
7 There 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.
8 Let’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.
9 Let’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.
10 A New CD Player The Perfect CD Player
Objective: Students will develop their comprehension skills by reading a text in which comparative adjectives are used.
11 A New CD Player Which do you prefer?
Objective: Students will develop their comprehension skills by reading a story about preferences.
12 That’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.
13 That’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.
14 Let’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.
15 Let’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.
16 The Most Beautiful Planet This 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.
17 The Most Beautiful Planet When 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.
18 Capitalisation Capital Letters 1
Objective: To use capital letters correctly: to begin sentences, for proper nouns.
19 Common Nouns Common Nouns
Objective: To show a common noun names an object or thing.
20 Punctuation Sentence Endings
Objective: To use full-stops, question marks, exclamation marks and capital letters correctly.
21 Verbs Simple Verbs
Objective: To identify and use verbs. To understand a verb can be: an action or doing word, a state of being or ownership.
22 Vowels Vowels – Long and Short
Objective: To identify long and short vowel sounds, and their use.
23 Plurals Plurals 1 – simple
Objective: To form plurals (more than one) by adding ‘s’ and ‘es’ correctly.
24 Basic Dictionary Use Basic Dictionary Use
Objective: To find words arranged alphabetically and identify word meanings in dictionaries.
25 Nouns Proper Nouns
Objective: To show a proper noun is used to name a person, place or a title.
26 Adjectives Adjectives
Objective: To show an adjective is a word that describes a noun.
27 Adverbs Adverbs
Objective: To identify and use adverbs. To understand an adverb tells something about (modifies) a verb.
28 Pronouns Pronouns
Objective: To show a pronoun is used in place of a noun.
29 Parts of Speech Part b Conjunctions
Objective: To identify and use conjunctions correctly.
30 Punctuation Commas 1
Objective: To use commas: to list, to make meaning clear, and when writing the date.
31 Contractions Contractions
Objective: To identify and use contractions.
32 There 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’.
33 There 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 …’.
34 It 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.
35 It couldn’t be mine! The Riding Lesson
Objective: Students will build vocabulary, answer comprehension questions and practise using possessive pronouns and adjectives.
36 Clean 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’.
37 Clean up Australia! Sports Report
Objective: Students will increase their vocabulary and reading comprehension skills. They will also practise using the adverbs ‘well’ and ‘badly’.
38 Friends all over the World Now 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’.
39 Friends all over the World A Letter to a Pen Pal
Objective: Students will increase their vocabulary, develop their comprehension skills and practise using the simple present tense.
40 What’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

# TOPIC TITLE
1 What’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’.
2 When I was Young Life 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’.
3 When I was Young Have 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.
4 Space and Time We’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.
5 Space and Time We’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.
6 Choices and Places A New Jacket
Objective: Students will develop their comprehension skills by reading a text in which preferences are discussed and comparisons are made.
7 Choices and Places He 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.
8 What’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.
9 What’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.
10 Class Camp Dear Parents, …
Objective: Students will develop their comprehension skills by reading a letter which uses a variety of verb tenses.
11 Class Camp A 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.
12 Sentences The Sentence
Objective: To identify and use complete sentences.
13 Capitalisation Capital Letters 1
Objective: To use capital letters correctly: to begin sentences, for proper nouns.
14 Common Nouns Common Nouns
Objective: To show a common noun names an object or thing.
15 Punctuation Sentence Endings
Objective: To use full-stops, question marks, exclamation marks and capital letters correctly.
16 Verbs Simple Verbs
Objective: To identify and use verbs. To understand a verb can be: an action or doing word, a state of being or ownership.
17 Basic Dictionary Use Basic Dictionary Use
Objective: To find words arranged alphabetically and identify word meanings in dictionaries.
18 Nouns Proper Nouns
Objective: To show a proper noun is used to name a person, place or a title.
19 Adjectives Adjectives
Objective: To show an adjective is a word that describes a noun.
20 Adverbs Adverbs
Objective: To identify and use adverbs. To understand an adverb tells something about (modifies) a verb.
21 Pronouns Pronouns
Objective: To show a pronoun is used in place of a noun.
22 Parts of Speech Part b Conjunctions
Objective: To identify and use conjunctions correctly.
23 Punctuation Commas 1
Objective: To use commas: to list, to make meaning clear, and when writing the date.
24 Contractions Contractions
Objective: To identify and use contractions.
25 Parts of Speech Part h Articles and Demonstratives
Objective: To identify and use articles and demonstratives correctly.
26 Antonyms and Synonyms Antonyms and Synonyms
Objective: To identify and use antonyms and synonyms.
27 Spelling Skills Spelling
Objective: To correctly spell words after adding suffixes: ‘ing’, ‘ed’, ‘er’, ‘est’.
28 Spelling Skills Syllabification
Objective: To improve spelling by dividing words correctly into syllables.
29 Plurals Plurals 2 – special rules
Objective: To form plurals with special rules: words ending in ‘y’ and ‘f’.
30 Nouns Collective and Abstract Nouns
Objective: To identify and use collective and abstract nouns.
31 Verbs Verbs – Tense
Objective: To identify and use the correct tense of verbs: past, present and future.
32 Adjectives Adjectives – Comparatives and Superlatives
Objective: To identify and use comparative and superlative adjectives.
33 Parts of Speech Part a Prepositions
Objective: To identify and use prepositions correctly.
34 Punctuation Skills Part b Quotation Marks
Objective: To use quotation marks for direct speech.
35 Common Errors Common Errors in writing
Objective: To identify and eliminate common errors.
36 Apostrophe – Possession Apostrophe – Possession
Objective: To use the apostrophe of possession correctly.
37 Mnemonics Spelling – Mnemonics
Objective: To identify and use mnemonics to assist in correct spelling.
38 Prefixes Prefixes
Objective: The identify and use prefixes.
39 Suffixes Suffixes
Objective: The identify and use suffixes.
40 Similes and Metaphors Similes and Metaphors
Objective: To identify and use similes and metaphors.
41 Figurative Language Onomatopoeia, Assonance and Alliteration
Objective: To identify, and make use of, onomatopoeia, assonance, and alliteration.
42 Homonyms – Homophones and Homographs Homonyms – Homophones and Homographs
Objective: To identify and use correctly homonyms, both homophones and homographs.
43 Advanced Dictionary Use Advanced Dictionary Use
Objective: To use dictionaries by identifying all the information provided. To use a thesaurus.
44 Capitalisation Capital Letters 2
Objective: To use capital letters correctly: in titles and letters.
45 Adjectives Adjectives – from Nouns and Verbs
Objective: To create adjectives from nouns and verbs. E.g. China – Chinese
46 There’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’.
47 There’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 …’.
48 Hobbies and Festivals Collecting 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.
49 Hobbies and Festivals My favourite festival
Objective: Students will build vocabulary; begin to use conjunctions ‘and’, ‘but’ or ‘because’.
50 What 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’.
51 What’s Homestay? Simple Present
Objective: Learn the correct structure for the simple present.
52 What’s Homestay? Simple Past
Objective: Learn the correct structure for the past simple.
53 Setting off Present perfect
Objective: Learn the correct structure for the present perfect.
54 Here we are! Adjectives
Objective: Learn the use of adjectives.
55 Here we are! Comparatives and superlatives
Objective: Learn how to use comparatives and superlatives in English.
56 A new home Prepositions of location
Objective: Learn about prepositions of location.
57 Let’s hit the beach! Modals of obligation
Objective: Learn about modals of obligation.
58 Amazing Aussie animals Present continuous
Objective: Learn about the present continuous tense.
59 Amazing Aussie animals Past continuous
Objective: Learn about the past continuous tense.
60 Amazing Aussie animals Giving facts and opinions
Objective: Present phrases that ask for and give opinions.
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Year 6 Literacy

# TOPIC TITLE
1 A visit to the Zoo About 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.
2 A visit to the Zoo I’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’.
3 What 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.
4 What 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.
5 It’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’.
6 It’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.
7 We 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.
8 We 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.
9 To 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.
10 To 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.
11 Famous People Bruce 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.
12 Famous People Alexander 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.
13 Finding 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.
14 Finding 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.
15 Sentences The Sentence
Objective: To identify and use complete sentences.
16 Common Nouns Common Nouns
Objective: To show a common noun names an object or thing.
17 Nouns Proper Nouns
Objective: To show a proper noun is used to name a person, place or a title.
18 Adjectives Adjectives
Objective: To show an adjective is a word that describes a noun.
19 Adverbs Adverbs
Objective: To identify and use adverbs. To understand an adverb tells something about (modifies) a verb.
20 Pronouns Pronouns
Objective: To show a pronoun is used in place of a noun.
21 Parts of Speech Part b Conjunctions
Objective: To identify and use conjunctions correctly.
22 Parts of Speech Part h Articles and Demonstratives
Objective: To identify and use articles and demonstratives correctly.
23 Antonyms and Synonyms Antonyms and Synonyms
Objective: To identify and use antonyms and synonyms.
24 Spelling Skills Syllabification
Objective: To improve spelling by dividing words correctly into syllables.
25 Plurals Plurals 1 – simple
Objective: To form plurals (more than one) by adding ‘s’ and ‘es’ correctly.
26 Plurals Plurals 2 – special rules
Objective: To form plurals with special rules: words ending in ‘y’ and ‘f’.
27 Nouns Collective and Abstract Nouns
Objective: To identify and use collective and abstract nouns.
28 Verbs Verbs – Tense
Objective: To identify and use the correct tense of verbs: past, present and future.
29 Adjectives Adjectives – Comparatives and Superlatives
Objective: To identify and use comparative and superlative adjectives.
30 Parts of Speech Part a Prepositions
Objective: To identify and use prepositions correctly.
31 Punctuation Skills Part b Quotation Marks
Objective: To use quotation marks for direct speech.
32 Apostrophe – Possession Apostrophe – Possession
Objective: To use the apostrophe of possession correctly.
33 Mnemonics Spelling – Mnemonics
Objective: To identify and use mnemonics to assist in correct spelling.
34 Prefixes Prefixes
Objective: The identify and use prefixes.
35 Suffixes Suffixes
Objective: The identify and use suffixes.
36 Similes and Metaphors Similes and Metaphors
Objective: To identify and use similes and metaphors.
37 Figurative Language Onomatopoeia, Assonance and Alliteration
Objective: To identify, and make use of, onomatopoeia, assonance, and alliteration.
38 Homonyms – Homophones and Homographs Homonyms – Homophones and Homographs
Objective: To identify and use correctly homonyms, both homophones and homographs.
39 Advanced Dictionary Use Advanced Dictionary Use
Objective: To use dictionaries by identifying all the information provided. To use a thesaurus.
40 Capitalisation Capital Letters 2
Objective: To use capital letters correctly: in titles and letters.
41 Adjectives Adjectives – from Nouns and Verbs
Objective: To create adjectives from nouns and verbs. E.g. China – Chinese
42 Pronouns Pronouns 2
Objective: To recognise and use personal, possessive and relative pronouns.
43 Commas 2 Commas 2
Objective: To use commas: to separate places, to separate clauses within sentences, and when using direct speech.
44 Conjunctions – Sentences Conjunctions – Sentences
Objective: To use conjunctions to increase the variety of sentence structure in written expression.
45 Phrases Phrases
Objective: To identify and use phrases including adjectival and adverbial phrases.
46 Clauses Clauses
Objective: To identify and use clauses including adjectival, adverbial and noun clauses.
47 Simple and Compound Verbs Simple and Compound Verbs
Objective: To identify and use simple and compound verbs.
48 Auxiliary Verbs Auxiliary Verbs
Objective: To identify and use auxiliary verbs within compound verbs.
49 Subject-Verb Agreement Subject-Verb Agreement
Objective: To identify and use correct tense, number and person in forming verbs.
50 Verb tense – Compound Verb tense – Compound
Objective: To identify and use ‘to be’ and ‘to have’ with the appropriate participle of the main verb.
51 Plurals Plurals 3 – Unusual
Objective: To create unusual plurals: for words ending in ‘o’; by changing the vowels or by adding letters.
52 Common Errors Common Errors in verb usage, spelling and punctuation
Objective: To identify and eliminate common errors.
53 Punctuation Punctuation – Various
Objective: To use hyphens, dashes, apostrophes, quotation marks, parentheses and brackets correctly.
54 Vocabulary Development Vocabulary
Objective: To identify and use better words than ‘got’ and ‘said’.
55 What do you like to do? Adverbs of frequency
Objective: Learn about the past continuous tense.
56 BBQ Party! Expressions of quantity
Objective: Learn the words used to express quantity.
57 BBQ Party! Sequence markers
Objective: Learn the words used in sequences or ordering.
58 Big day out! First and second conditionals
Objective: Learn the use of first conditionals. Learn the use of second conditionals.
59 Big day out! The future with ‘will’ and ‘going to’
Objective: Learn the uses of ‘will’ and ‘going to’ to talk about the future.
60 Thanks and goodbye Time clauses
Objective: Learn how to use time clauses.
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Year 7 Literacy

# TOPIC TITLE
1 Have 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.
2 Have 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.
3 Let’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.
4 Let’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.
5 I 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.
6 I 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.
7 Where 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.
8 Where 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.
9 How 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.
10 How 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.
11 Tell 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.
12 Tell 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.
13 What’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.
14 What’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)
15 May 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.
16 May 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.
17 What 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.
18 What 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.
19 Let’s celebrate Merry 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.
20 Let’s celebrate The 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’.
21 Sentences The Sentence
Objective: To identify and use complete sentences.
22 Capitalisation Capital Letters 1
Objective: To use capital letters correctly: to begin sentences, for proper nouns.
23 Punctuation Sentence Endings
Objective: To use full-stops, question marks, exclamation marks and capital letters correctly.
24 Common Nouns Common Nouns
Objective: To show a common noun names an object or thing.
25 Nouns Proper Nouns
Objective: To show a proper noun is used to name a person, place or a title.
26 Verbs Simple Verbs
Objective: To identify and use verbs. To understand a verb can be: an action or doing word, a state of being or ownership.
27 Adjectives Adjectives
Objective: To show an adjective is a word that describes a noun.
28 Adverbs Adverbs
Objective: To identify and use adverbs. To understand an adverb tells something about (modifies) a verb.
29 Pronouns Pronouns
Objective: To show a pronoun is used in place of a noun.
30 Parts of Speech Part b Conjunctions
Objective: To identify and use conjunctions correctly.
31 Conjunctions – Sentences Conjunctions – Sentences
Objective: To use conjunctions to increase the variety of sentence structure in written expression.
32 Capitalisation Capital Letters 2
Objective: To use capital letters correctly: in titles and letters.
33 Parts of Speech Part h Articles and Demonstratives
Objective: To identify and use articles and demonstratives correctly.
34 Antonyms and Synonyms Antonyms and Synonyms
Objective: To identify and use antonyms and synonyms.
35 Punctuation Commas 1
Objective: To use commas: to list, to make meaning clear, and when writing the date.
36 Commas 2 Commas 2
Objective: To use commas: to separate places, to separate clauses within sentences, and when using direct speech.
37 Spelling Skills Spelling
Objective: To correctly spell words after adding suffixes: ‘ing’, ‘ed’, ‘er’, ‘est’.
38 Spelling Skills Syllabification
Objective: To improve spelling by dividing words correctly into syllables.
39 Plurals Plurals 2 – special rules
Objective: To form plurals with special rules: words ending in ‘y’ and ‘f’.
40 Nouns Collective and Abstract Nouns
Objective: To identify and use collective and abstract nouns.
41 Verbs Verbs – Tense
Objective: To identify and use the correct tense of verbs: past, present and future.
42 Adjectives Adjectives – Comparatives and Superlatives
Objective: To identify and use comparative and superlative adjectives.
43 Parts of Speech Part a Prepositions
Objective: To identify and use prepositions correctly.
44 Punctuation Skills Part b Quotation Marks
Objective: To use quotation marks for direct speech.
45 Apostrophe – Possession Apostrophe – Possession
Objective: To use the apostrophe of possession correctly.
46 Mnemonics Spelling – Mnemonics
Objective: To identify and use mnemonics to assist in correct spelling.
47 Prefixes Prefixes
Objective: The identify and use prefixes.
48 Suffixes Suffixes
Objective: The identify and use suffixes.
49 Similes and Metaphors Similes and Metaphors
Objective: To identify and use similes and metaphors.
50 Figurative Language Onomatopoeia, Assonance and Alliteration
Objective: To identify, and make use of, onomatopoeia, assonance, and alliteration.
51 Homonyms – Homophones and Homographs Homonyms – Homophones and Homographs
Objective: To identify and use correctly homonyms, both homophones and homographs.
52 Advanced Dictionary Use Advanced Dictionary Use
Objective: To use dictionaries by identifying all the information provided. To use a thesaurus.
53 Vocabulary Development Vocabulary
Objective: To identify and use better words than ‘got’ and ‘said’.
54 Phrases Phrases
Objective: To identify and use phrases including adjectival and adverbial phrases.
55 Clauses Clauses
Objective: To identify and use clauses including adjectival, adverbial and noun clauses.
56 Simple and Compound Verbs Simple and Compound Verbs
Objective: To identify and use simple and compound verbs.
57 Auxiliary Verbs Auxiliary Verbs
Objective: To identify and use auxiliary verbs within compound verbs.
58 Subject-Verb Agreement Subject-Verb Agreement
Objective: To identify and use correct tense, number and person in forming verbs.
59 Verb tense – Compound Verb tense – Compound
Objective: To identify and use ‘to be’ and ‘to have’ with the appropriate participle of the main verb.
60 Plurals Plurals 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

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

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