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

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

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

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







Mathematics

Grade 1 Mathematics

# 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 The numbers 20 to 99
Objective: To recognise, name and add multiples of ten
9 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
10 Basic mathematics part 1 Simple addition up to the number 10
Objective: To construct addition sentences (sum to 10) using + and =
11 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
12 Basic mathematics part 1 Subtraction up to the number 10
Objective: To subtract numbers 0 to 10 using pictures and numerals
13 Basic mathematics part 1 Subtraction: by comparison
Objective: To establish concept of more and to use subtraction to work out how many more
14 Basic mathematics part 1 Subtraction up to the number 20
Objective: To accurately subtract numbers 1-20 using horizontal and vertical formats
15 Time Days of the Week
Objective: To name and recognise the days of the week in order
16 Time Duration
Objective: To choose the difference between a short time and a long time
17 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
18 Time O’clock and half past using digital time
Objective: To use the terms ‘o’clock’ and ‘half past’ on a digital clock
19 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
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 Measurement – Mass Introducing the concept of mass
Objective: To distinguish between light and heavy objects
22 Graphs – Basic Picture Graphs
Objective: To construct, read and interpret picture graphs
23 Space Position
Objective: To use positional terms such as behind, next to and above, accurately
24 Exam Exam – Grade 1
Objective: Exam
Go to top

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 1 Multiplication using equal groups
Objective: To identify multiplication as a number of groups of objects
8 Basic mathematics part 1 Multiplication using repeated addition
Objective: To perform repeated addition in preparation for multiplication
9 Basic mathematics part 1 The Multiplication Sign
Objective: To use the ‘x’ sign for repeated addition and perform 1-digit multiplication
10 Basic mathematics part 1 Multiplication with important facts
Objective: To practice multiplication facts to 10 x 10
11 Basic mathematics part 1 Strategies for division
Objective: To perform division by arranging objects into groups
12 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
13 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
14 Time Days of the Week
Objective: To name and recognise the days of the week in order
15 Time Duration
Objective: To choose the difference between a short time and a long time
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 Time O’clock and half past using digital time
Objective: To use the terms ‘o’clock’ and ‘half past’ on a digital clock
18 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
19 Time Quarter past and quarter to
Objective: To associate the numerals 3, 6 and 9 with 15, 30 and 45 minutes
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 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
22 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
23 Measurement – Mass Introducing the concept of mass
Objective: To distinguish between light and heavy objects
24 Measurement – Advanced area Comparing and Ordering Areas
Objective: To estimate size order and count or estimate area as the number of cm squares
25 Space Using the prefix to determine polygons
Objective: To continue sequences of shapes and recognise prefixes and name polygons
26 Space Spatial properties of quadrilaterals
Objective: To recall and recognise properties of different quadrilaterals
27 Space Recognise and name prisms according to spatial properties
Objective: To name prisms according to the shape of the base
28 Graphs – Basic Picture Graphs
Objective: To construct, read and interpret picture graphs
29 Graphs – Basic Column Graphs
Objective: To read and interpret column graphs
30 Graphs – Basic Line Graphs
Objective: To read and interpret line graphs
31 Graphs – Basic Pie and Bar Graphs
Objective: To read and interpret pie and bar graphs
32 Space Position
Objective: To use positional terms such as behind, next to and above, accurately
33 Exam Exam – Grade 2
Objective: Exam
Go to top

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 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
19 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
20 Fractions Fractions 1/5, 1/10, 1/100
Objective: To compare and represent fractions with the denominator 5, 10, 100
21 Fractions Comparing and ordering fractions
Objective: To compare and order fractions with the same and different numbers of equal parts
22 Time O’clock and half past using digital time
Objective: To use the terms ‘o’clock’ and ‘half past’ on a digital clock
23 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
24 Time Analogue – Telling time – minutes in the hour
Objective: To recognise the coordinated movements of the hands on an analogue clock
25 Time Quarter past and quarter to
Objective: To associate the numerals 3, 6 and 9 with 15, 30 and 45 minutes
26 Time Units of time
Objective: To convert units of time by reading simple timetables, timelines and calendars
27 Time am and pm time
Objective: To distinguish between am and pm time and to use the correct notation for am and pm time
28 Time Telling the time – minutes past the hour
Objective: To read analogue time to the minute past the hour
29 Time Telling the time – minutes to the hour
Objective: To read analogue clocks in minutes to the hour
30 Time Relating analogue and digital time
Objective: To read analogue and digital clocks to the minute
31 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
32 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
33 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
34 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
35 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
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 – Capacity Converting between volume and capacity using milliliters and liters
Objective: To solve capacity problems involving mixed dimensional units
38 Measurement – Mass Introducing the concept of mass
Objective: To distinguish between light and heavy objects
39 Measurement – Mass The Kilogram
Objective: To recognise which of two (or more) objects has the greater mass
40 Measurement – Mass The Gram
Objective: To calculate net mass in grams and solve shopping problems involving mass
41 Measurement – Advanced area Comparing and Ordering Areas
Objective: To estimate size order and count or estimate area as the number of cm squares
42 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
43 Space Using the prefix to determine polygons
Objective: To continue sequences of shapes and recognise prefixes and name polygons
44 Space Spatial properties of quadrilaterals
Objective: To recall and recognise properties of different quadrilaterals
45 Space Recognise and name prisms according to spatial properties
Objective: To name prisms according to the shape of the base
46 Space Recognise and name pyramids according to spatial properties
Objective: To name pyramids according to the shape of the base
47 Space Position
Objective: To use positional terms such as behind, next to and above, accurately
48 Space Mapping
Objective: To locate places and describe navigation on a map and use a row/column grid
49 Graphs – Basic Picture Graphs
Objective: To construct, read and interpret picture graphs
50 Graphs – Basic Column Graphs
Objective: To read and interpret column graphs
51 Graphs – Basic Line Graphs
Objective: To read and interpret line graphs
52 Graphs – Basic Pie and Bar Graphs
Objective: To read and interpret pie and bar graphs
53 Exam Exam – Grade 3
Objective: Exam
Go to top

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 Addition up to the number 999
Objective: To add up to three 2 and 3-digit numbers with and without trading
5 Basic mathematics part 1 Subtraction up to the number 99
Objective: To subtract multiples of 10 and subtract 2-digit numbers without trading
6 Basic mathematics part 1 Subtraction with trading
Objective: To subtract 1 and 2-digit numbers with trading
7 Basic mathematics part 1 Subtraction with Word Problems
Objective: To construct suitable subtraction sums in order to solve word problems and puzzles
8 Basic mathematics part 2 Subtraction up to the number 999
Objective: To subtract 3-digit numbers with and without trading and find missing digits
9 Basic mathematics part 1 Multiplication with important facts
Objective: To practice multiplication facts to 10 x 10
10 Basic mathematics part 2 Multiples and factors of whole numbers
Objective: To identify the factors, multiples and squares of numbers
11 Basic mathematics part 2 Multiplication using extended algorithms
Objective: To multiply 3-digit by 1-digit numbers and solve multiplication word problems
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 Long multiplication Multiplying 2-digit numbers by 2-digit numbers
Objective: To multiply 2-digit numbers by 2-digit numbers using long multiplication
14 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
15 Basic mathematics part 1 Strategies for division
Objective: To perform division by arranging objects into groups
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 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
19 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
20 Fractions Comparing and ordering fractions
Objective: To compare and order fractions with the same and different numbers of equal parts
21 Fractions Fractions 1/5, 1/10, 1/100
Objective: To compare and represent fractions with the denominator 5, 10, 100
22 Decimals Intro to Decimals
Objective: To relate the equivalent fraction to a decimal
23 Decimals Comparing and ordering decimals to two decimal places
Objective: To compare and order decimals to two decimal places
24 Decimals Decimals with whole numbers 10th and 100th
Objective: To use and understand place value to show whole numbers, tenths and hundredths as decimals
25 Decimals Adding decimals to two decimal places
Objective: To add decimals with the same number of decimal places (to two decimal Places)
26 Time Analogue – Telling time – minutes in the hour
Objective: To recognise the coordinated movements of the hands on an analogue clock
27 Time am and pm time
Objective: To distinguish between am and pm time and to use the correct notation for am and pm time
28 Time O’clock and half past using digital time
Objective: To use the terms ‘o’clock’ and ‘half past’ on a digital clock
29 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
30 Time Quarter past and quarter to
Objective: To associate the numerals 3, 6 and 9 with 15, 30 and 45 minutes
31 Time Telling the time – minutes past the hour
Objective: To read analogue time to the minute past the hour
32 Time Telling the time – minutes to the hour
Objective: To read analogue clocks in minutes to the hour
33 Time Relating analogue and digital time
Objective: To read analogue and digital clocks to the minute
34 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
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 – 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
37 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
38 Measurement – Area Introduction to the square centimetre
Objective: To determine the area of a shape by counting the number of square centimetres
39 Measurement – Advanced area Comparing and Ordering Areas
Objective: To estimate size order and count or estimate area as the number of cm squares
40 Measurement – Capacity Converting between volume and capacity using milliliters and liters
Objective: To solve capacity problems involving mixed dimensional units
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 Measurement – Capacity Using the cubic cm and displacement to measure volume and capacity
Objective: To find volume and capacity using displacement
45 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
46 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
47 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
48 Measurement – Capacity Estimate, measure and compare the capacity of containers
Objective: To understand estimation and a way to go about it
49 Graphs – Basic Column Graphs
Objective: To read and interpret column graphs
50 Graphs – Basic Line Graphs
Objective: To read and interpret line graphs
51 Graphs – Basic Pie and Bar Graphs
Objective: To read and interpret pie and bar graphs
52 Space Using the prefix to determine polygons
Objective: To continue sequences of shapes and recognise prefixes and name polygons
53 Space Spatial properties of quadrilaterals
Objective: To recall and recognise properties of different quadrilaterals
54 Space Recognise and name prisms according to spatial properties
Objective: To name prisms according to the shape of the base
55 Space Recognise and name pyramids according to spatial properties
Objective: To name pyramids according to the shape of the base
56 Space Position
Objective: To use positional terms such as behind, next to and above, accurately
57 Space Mapping
Objective: To locate places and describe navigation on a map and use a row/column grid
58 Probability Simple events
Objective: To find the probability of events using sample space and event set (E) and P(E) = n(E)/n(S)
59 Exam Exam – Grade 4
Objective: Exam
Go to top

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 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 Addition up to the number 999
Objective: To add up to three 2 and 3-digit numbers with and without trading
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 up to the number 999
Objective: To subtract 3-digit numbers with and without trading and find missing digits
6 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
7 Long multiplication Multiplying 2-digit numbers by multiples of 10
Objective: To multiply 2-digit numbers by multiples of 10 using long multiplication
8 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
9 Long multiplication Multiplying 2-digit numbers by 2-digit numbers
Objective: To multiply 2-digit numbers by 2-digit numbers using long multiplication
10 Basic mathematics part 1 Strategies for division
Objective: To perform division by arranging objects into groups
11 Basic mathematics part 2 Division with and without a remainder
Objective: To divide by 1-digit divisor with/without remainder and form division problems
12 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
13 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
14 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
15 Fractions Fractions 1/5, 1/10, 1/100
Objective: To compare and represent fractions with the denominator 5, 10, 100
16 Fractions Comparing and ordering fractions
Objective: To compare and order fractions with the same and different numbers of equal parts
17 Fractions Mixed numerals
Objective: To name and recognise mixed numerals
18 Fractions Improper fractions
Objective: To use diagrams and number lines to recognise and represent mixed numerals and improper fractions
19 Decimals Intro to Decimals
Objective: To relate the equivalent fraction to a decimal
20 Decimals Comparing and ordering decimals to two decimal places
Objective: To compare and order decimals to two decimal places
21 Decimals Decimals with whole numbers 10th and 100th
Objective: To use and understand place value to show whole numbers, tenths and hundredths as decimals
22 Decimals Adding decimals to two decimal places
Objective: To add decimals with the same number of decimal places (to two decimal Places)
23 Decimals Subtracting decimals to two decimal places
Objective: To subtract decimals with the same number of decimal places (to two decimal places)
24 Decimals Using decimals – shopping problems
Objective: To read and interpret problems involving money
25 Decimals Using decimals to record length
Objective: To interpret the everyday use of fractions and decimals
26 Decimals Rounding Decimals
Objective: To round a number with one or two decimal places to the nearest whole number
27 Decimals Decimals to three decimal places
Objective: To express a number on a thousand as a decimal in thousandths
28 Decimals Adding decimals with a different number of decimal places
Objective: To add decimal numbers with a different number of decimal places
29 Decimals Subtracting decimals with a different number of places
Objective: To subtract decimals with a different number of decimal places
30 Decimals Multiplying decimals by 10, 100 and 1000
Objective: To recognise the pattern formed when decimals are multiplied by 10, 100 and 1000
31 Decimals Dividing decimals by 10, 100 and 1000
Objective: To recognise the pattern formed when decimals are divided by 10, 100 and 1000
32 Time am and pm time
Objective: To distinguish between am and pm time and to use the correct notation for am and pm time
33 Time Quarter past and quarter to
Objective: To associate the numerals 3, 6 and 9 with 15, 30 and 45 minutes
34 Time Telling the time – minutes past the hour
Objective: To read analogue time to the minute past the hour
35 Time Telling the time – minutes to the hour
Objective: To read analogue clocks in minutes to the hour
36 Time Relating analogue and digital time
Objective: To read analogue and digital clocks to the minute
37 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
38 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
39 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
40 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
41 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
42 Measurement – Advanced area Comparing and Ordering Areas
Objective: To estimate size order and count or estimate area as the number of cm squares
43 Measurement – Area Introduction to the square centimetre
Objective: To determine the area of a shape by counting the number of square centimetres
44 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
45 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
46 Measurement – Volume Introduction to Volume: using the cubic centimetre as a standard unit
Objective: To count volume using 1 cm cubes
47 Measurement – Volume Constructing Models
Objective: To develop volume of prisms as layers of a number of 1 cm cubes
48 Measurement – Volume Using the Cubic Centimetre to Measure Volume
Objective: To use the 1 cm cube as the unit for volume
49 Measurement – Volume Introducing the Formula for Volume
Objective: To calculate the volume of rectangular prisms using V=l x b x h
50 Measurement – Capacity Using the cubic cm and displacement to measure volume and capacity
Objective: To find volume and capacity using displacement
51 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
52 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
53 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
54 Measurement – Capacity Estimate, measure and compare the capacity of containers
Objective: To understand estimation and a way to go about it
55 Measurement – Capacity Converting between volume and capacity using milliliters and liters
Objective: To solve capacity problems involving mixed dimensional units
56 Measurement – Mass The Kilogram
Objective: To recognise which of two (or more) objects has the greater mass
57 Measurement – Mass The Gram
Objective: To calculate net mass in grams and solve shopping problems involving mass
58 Space Using the prefix to determine polygons
Objective: To continue sequences of shapes and recognise prefixes and name polygons
59 Space Spatial properties of quadrilaterals
Objective: To recall and recognise properties of different quadrilaterals
60 Space Measure and classify angles
Objective: To classify and measure angles and calculate angles in a triangle
61 Space Recognise and name triangles
Objective: To recall properties of different triangles
62 Space Use grids to enlarge/reduce 2-D shapes
Objective: To recognise shapes that tessellate and specify position on a grid
63 Space Recognise and name prisms according to spatial properties
Objective: To name prisms according to the shape of the base
64 Space Recognise and name pyramids according to spatial properties
Objective: To name pyramids according to the shape of the base
65 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
66 Space Viewing 3-D Shapes
Objective: To recognise what a solid looks like when viewed from a given direction
67 Space Position
Objective: To use positional terms such as behind, next to and above, accurately
68 Space Mapping
Objective: To locate places and describe navigation on a map and use a row/column grid
69 Space Main and intermediate compass points
Objective: To specify direction using the eight points of a compass
70 Space Informal coordinate system
Objective: To specify location using a map coordinate system – origin top left
71 Graphs – Basic Line Graphs
Objective: To read and interpret line graphs
72 Graphs – Basic Pie and Bar Graphs
Objective: To read and interpret pie and bar graphs
73 Probability Simple events
Objective: To find the probability of events using sample space and event set (E) and P(E) = n(E)/n(S)
74 Problem solving Sign Words
Objective: To recognise words and phrases that correspond to + – x and /
75 Problem solving Problem Solving Strategies
Objective: To review problem solving words and an effective problem solving approach
76 Problem solving Word Problems with Numbers
Objective: To solve number word problems using + – x and /
77 Problem solving Word Problems with Money
Objective: To solve money word problems using + – x and /
78 Problem solving Word Problems with Length
Objective: To solve length word problems using + – x and /
79 Problem solving Word Problems with Mass
Objective: To solve mass word problems using + – x and /
80 Problem solving Word Problems with Area
Objective: To solve area word problems using + – x and /
81 Problem solving Word Problems with Volume/Capacity
Objective: To solve volume and capacity word problems using + – x and /
82 Exam Exam – Grade 5
Objective: Exam
Go to top

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 Addition to 9999 and beyond
Objective: To add up to five 3, 4 or 5-digit numbers from 0 to 99 999
4 Basic mathematics part 2 Subtraction up to the number 999
Objective: To subtract 3-digit numbers with and without trading and find missing digits
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 Long multiplication Multiplying 2-digit numbers by multiples of 10
Objective: To multiply 2-digit numbers by multiples of 10 using long multiplication
7 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
8 Long multiplication Multiplying 2-digit numbers by 2-digit numbers
Objective: To multiply 2-digit numbers by 2-digit numbers using long multiplication
9 Basic mathematics part 2 Division with and without a remainder
Objective: To divide by 1-digit divisor with/without remainder and form division problems
10 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
11 Fractions Comparing and ordering fractions
Objective: To compare and order fractions with the same and different numbers of equal parts
12 Fractions Mixed numerals
Objective: To name and recognise mixed numerals
13 Fractions Improper fractions
Objective: To use diagrams and number lines to recognise and represent mixed numerals and improper fractions
14 Fractions Finding equivalent fractions
Objective: To reduce a fraction to its lowest form
15 Fractions Reducing fractions to lowest equivalent form
Objective: To reduce a fraction to its lowest form
16 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
17 Decimals Comparing and ordering decimals to two decimal places
Objective: To compare and order decimals to two decimal places
18 Decimals Decimals with whole numbers 10th and 100th
Objective: To use and understand place value to show whole numbers, tenths and hundredths as decimals
19 Decimals Adding decimals to two decimal places
Objective: To add decimals with the same number of decimal places (to two decimal Places)
20 Decimals Subtracting decimals to two decimal places
Objective: To subtract decimals with the same number of decimal places (to two decimal places)
21 Decimals Using decimals – shopping problems
Objective: To read and interpret problems involving money
22 Decimals Using decimals to record length
Objective: To interpret the everyday use of fractions and decimals
23 Decimals Rounding Decimals
Objective: To round a number with one or two decimal places to the nearest whole number
24 Decimals Decimals to three decimal places
Objective: To express a number on a thousand as a decimal in thousandths
25 Decimals Adding decimals with a different number of decimal places
Objective: To add decimal numbers with a different number of decimal places
26 Decimals Subtracting decimals with a different number of places
Objective: To subtract decimals with a different number of decimal places
27 Decimals Multiplying decimals by 10, 100 and 1000
Objective: To recognise the pattern formed when decimals are multiplied by 10, 100 and 1000
28 Decimals Multiplying decimals by single-digit numbers
Objective: To multiply decimals by single-digit numbers
29 Decimals Multiplication of decimals by decimals to two decimal places
Objective: To multiply decimals to two digits
30 Decimals Dividing decimals by 10, 100 and 1000
Objective: To recognise the pattern formed when decimals are divided by 10, 100 and 1000
31 Decimals Dividing decimals by whole numbers
Objective: To divide decimals by whole numbers
32 Percentages Understanding percentages
Objective: To recognise the percentage symbol and relate a common percentage to a fraction
33 Percentages Changing fractions and decimals to percentages tenths and hundredths
Objective: To represent fractions and decimals as percentages
34 Percentages Changing percentages to fractions and decimals
Objective: To change percentages to fractions and decimals
35 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
36 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
37 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
38 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
39 Measurement – Advanced area Comparing and Ordering Areas
Objective: To estimate size order and count or estimate area as the number of cm squares
40 Measurement – Area Introduction to the square centimetre
Objective: To determine the area of a shape by counting the number of square centimetres
41 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
42 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
43 Measurement – Volume Introduction to Volume: using the cubic centimetre as a standard unit
Objective: To count volume using 1 cm cubes
44 Measurement – Volume Constructing Models
Objective: To develop volume of prisms as layers of a number of 1 cm cubes
45 Measurement – Volume Using the Cubic Centimetre to Measure Volume
Objective: To use the 1 cm cube as the unit for volume
46 Measurement – Volume Introducing the Formula for Volume
Objective: To calculate the volume of rectangular prisms using V=l x b x h
47 Measurement – Volume Using the Cubic Metre to Measure Volume
Objective: To calculate the volume of rectangular prisms in cubic metres
48 Measurement – Volume Solving Problems about Volume Part 1
Objective: To solve volume problems using same and mixed units of length
49 Measurement – Volume Solving Problems about Volume Part 2
Objective: To solve volume problems involving larger objects
50 Measurement – Capacity Using the cubic cm and displacement to measure volume and capacity
Objective: To find volume and capacity using displacement
51 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
52 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
53 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
54 Measurement – Capacity Estimate, measure and compare the capacity of containers
Objective: To understand estimation and a way to go about it
55 Measurement – Capacity Converting between volume and capacity using milliliters and liters
Objective: To solve capacity problems involving mixed dimensional units
56 Measurement – Mass The Kilogram
Objective: To recognise which of two (or more) objects has the greater mass
57 Measurement – Mass The Gram
Objective: To calculate net mass in grams and solve shopping problems involving mass
58 Space Using the prefix to determine polygons
Objective: To continue sequences of shapes and recognise prefixes and name polygons
59 Space Spatial properties of quadrilaterals
Objective: To recall and recognise properties of different quadrilaterals
60 Space Measure and classify angles
Objective: To classify and measure angles and calculate angles in a triangle
61 Space Recognise and name triangles
Objective: To recall properties of different triangles
62 Space Use grids to enlarge/reduce 2-D shapes
Objective: To recognise shapes that tessellate and specify position on a grid
63 Space Recognise and name prisms according to spatial properties
Objective: To name prisms according to the shape of the base
64 Space Recognise and name pyramids according to spatial properties
Objective: To name pyramids according to the shape of the base
65 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
66 Space Viewing 3-D Shapes
Objective: To recognise what a solid looks like when viewed from a given direction
67 Algebra – Basic Algebraic Expressions
Objective: To simplify numerical expressions and simplify and expand algebraic expressions
68 Algebra – Basic Substitution into Algebraic Expressions
Objective: To evaluate simple algebraic expressions using whole numbers, fractions and decimals
69 Space Mapping
Objective: To locate places and describe navigation on a map and use a row/column grid
70 Space Main and intermediate compass points
Objective: To specify direction using the eight points of a compass
71 Space Informal coordinate system
Objective: To specify location using a map coordinate system – origin top left
72 Graphs – Basic Line Graphs
Objective: To read and interpret line graphs
73 Graphs – Basic Pie and Bar Graphs
Objective: To read and interpret pie and bar graphs
74 Probability Simple events
Objective: To find the probability of events using sample space and event set (E) and P(E) = n(E)/n(S)
75 Problem solving Sign Words
Objective: To recognise words and phrases that correspond to + – x and /
76 Problem solving Problem Solving Strategies
Objective: To review problem solving words and an effective problem solving approach
77 Problem solving Word Problems with Numbers
Objective: To solve number word problems using + – x and /
78 Problem solving Word Problems with Money
Objective: To solve money word problems using + – x and /
79 Problem solving Word Problems with Length
Objective: To solve length word problems using + – x and /
80 Problem solving Word Problems with Mass
Objective: To solve mass word problems using + – x and /
81 Problem solving Word Problems with Area
Objective: To solve area word problems using + – x and /
82 Problem solving Word Problems with Volume/Capacity
Objective: To solve volume and capacity word problems using + – x and /
83 Exam Exam – Grade 6
Objective: Exam
Go to top

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 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 Long multiplication Multiplying 2-digit numbers by 2-digit numbers
Objective: To multiply 2-digit numbers by 2-digit numbers using long multiplication
7 Basic mathematics part 2 Division with and without a remainder
Objective: To divide by 1-digit divisor with/without remainder and form division problems
8 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
9 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
10 Algebra – Basic Directed Numbers: Addition and Subtraction
Objective: To add/subtract numbers using a number line – first number and answer can be negative
11 Algebra – Basic Directed Numbers: Multiplication and Division
Objective: To multiply and divide directed numbers and evaluate powers of directed numbers
12 Fractions Comparing and ordering fractions
Objective: To compare and order fractions with the same and different numbers of equal parts
13 Fractions Mixed numerals
Objective: To name and recognise mixed numerals
14 Fractions Improper fractions
Objective: To use diagrams and number lines to recognise and represent mixed numerals and improper fractions
15 Fractions Finding equivalent fractions
Objective: To reduce a fraction to its lowest form
16 Fractions Multiplying and dividing to obtain equivalent fractions.
Objective: To find equivalent fractions using multiplication or division.
17 Fractions Reducing fractions to lowest equivalent form
Objective: To reduce a fraction to its lowest form
18 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
19 Fractions Subtracting fractions from whole numbers
Objective: To use a diagram and mental strategies to subtract fractions from whole numbers
20 Fractions Adding and subtracting fractions with the same denominator
Objective: To add and subtract fractions with the same denominator
21 Fractions Adding and subtracting fractions with different denominators
Objective: To add fractions with different denominators and the answer is less than 1
22 Fractions Multiplying fractions by whole numbers
Objective: To multiply common fractions by whole numbers
23 Fractions Fractions of whole numbers
Objective: To find fractions of whole numbers
24 Fractions Multiplying fractions
Objective: To multiply fractions and reduce the answer to its lowest form
25 Decimals Comparing and ordering decimals to two decimal places
Objective: To compare and order decimals to two decimal places
26 Decimals Decimals with whole numbers 10th and 100th
Objective: To use and understand place value to show whole numbers, tenths and hundredths as decimals
27 Decimals Adding decimals to two decimal places
Objective: To add decimals with the same number of decimal places (to two decimal Places)
28 Decimals Subtracting decimals to two decimal places
Objective: To subtract decimals with the same number of decimal places (to two decimal places)
29 Decimals Using decimals – shopping problems
Objective: To read and interpret problems involving money
30 Decimals Using decimals to record length
Objective: To interpret the everyday use of fractions and decimals
31 Decimals Rounding Decimals
Objective: To round a number with one or two decimal places to the nearest whole number
32 Decimals Decimals to three decimal places
Objective: To express a number on a thousand as a decimal in thousandths
33 Decimals Adding decimals with a different number of decimal places
Objective: To add decimal numbers with a different number of decimal places
34 Decimals Subtracting decimals with a different number of places
Objective: To subtract decimals with a different number of decimal places
35 Decimals Multiplying decimals by 10, 100 and 1000
Objective: To recognise the pattern formed when decimals are multiplied by 10, 100 and 1000
36 Decimals Multiplying decimals by single-digit numbers
Objective: To multiply decimals by single-digit numbers
37 Decimals Multiplication of decimals by decimals to two decimal places
Objective: To multiply decimals to two digits
38 Decimals Dividing decimals by 10, 100 and 1000
Objective: To recognise the pattern formed when decimals are divided by 10, 100 and 1000
39 Decimals Dividing decimals by whole numbers
Objective: To divide decimals by whole numbers
40 Decimals Dividing numbers by decimals
Objective: To divide a whole number by a decimal fraction
41 Percentages Understanding percentages
Objective: To recognise the percentage symbol and relate a common percentage to a fraction
42 Percentages Changing fractions and decimals to percentages tenths and hundredths
Objective: To represent fractions and decimals as percentages
43 Percentages Changing percentages to fractions and decimals
Objective: To change percentages to fractions and decimals
44 Percentages One Quantity as a Percentage of Another
Objective: To determine what one quantity is as a percentage of another
45 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
46 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
47 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
48 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
49 Measurement – Capacity Using the cubic cm and displacement to measure volume and capacity
Objective: To find volume and capacity using displacement
50 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
51 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
52 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
53 Measurement – Capacity Estimate, measure and compare the capacity of containers
Objective: To understand estimation and a way to go about it
54 Measurement – Capacity Converting between volume and capacity using milliliters and liters
Objective: To solve capacity problems involving mixed dimensional units
55 Problem solving Word Problems with Area
Objective: To solve area word problems using + – x and /
56 Problem solving Word Problems with Volume/Capacity
Objective: To solve volume and capacity word problems using + – x and /
57 Surface area Surface Area of a Cube/Rectangular Prism
Objective: To calculate the surface area of cubes and rectangular prisms
58 Measurement – Mass The Kilogram
Objective: To recognise which of two (or more) objects has the greater mass
59 Measurement – Mass The Gram
Objective: To calculate net mass in grams and solve shopping problems involving mass
60 Space Using the prefix to determine polygons
Objective: To continue sequences of shapes and recognise prefixes and name polygons
61 Space Spatial properties of quadrilaterals
Objective: To recall and recognise properties of different quadrilaterals
62 Space Measure and classify angles
Objective: To classify and measure angles and calculate angles in a triangle
63 Space Recognise and name triangles
Objective: To recall properties of different triangles
64 Space Use grids to enlarge/reduce 2-D shapes
Objective: To recognise shapes that tessellate and specify position on a grid
65 Space Recognise and name prisms according to spatial properties
Objective: To name prisms according to the shape of the base
66 Space Recognise and name pyramids according to spatial properties
Objective: To name pyramids according to the shape of the base
67 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
68 Space Viewing 3-D Shapes
Objective: To recognise what a solid looks like when viewed from a given direction
69 Geometry part 2 Congruent triangles: Tests 1 and 2
Objective: To recognise congruent triangles and matching sides and angles using SSS and SAS
70 Geometry part 2 Congruent triangles: Tests 3 and 4
Objective: To recognise congruent triangles and matching sides and angles using AAS and RHS
71 Geometry part 2 Proofs and Congruent Triangles
Objective: To use congruency in formal proofs in order to determine unknown angles and sides
72 Geometry part 2 Similar Triangles
Objective: To use similarity tests for triangles and determine unknown sides and angles in triangles
73 Algebra – Basic Algebraic Expressions
Objective: To simplify numerical expressions and simplify and expand algebraic expressions
74 Algebra – Basic Substitution into Algebraic Expressions
Objective: To evaluate simple algebraic expressions using whole numbers, fractions and decimals
75 Algebra – Basic Simplifying Algebraic Expressions: Adding Like Terms
Objective: To simplify numeric and algebraic addition expressions by collecting like terms
76 Algebra – Basic Simplifying Algebraic Expressions: Subtracting Like Terms
Objective: To simplify algebraic subtractions by collecting like terms
77 Algebra – Basic Simplifying Algebraic Expressions: Combining Addition and Subtraction
Objective: To simplify expressions containing addition and subtraction and two unlike terms
78 Algebra – Basic Simplifying Algebraic Expressions: Multiplication
Objective: To simplify algebraic products using (but not stating) the commutative law
79 Algebra – Basic Simplifying Algebraic Expressions: Division
Objective: To divide algebraic terms where the divisor is a factor of the dividend
80 Algebra – Basic Expanding Algebraic Expressions: multiplication
Objective: To remove grouping symbols from an expression where the multiplier is monomial
81 Algebra – Basic Expanding Algebraic Expressions: Negative multiplier
Objective: To expand parentheses when there is a negative multiplier
82 Algebra – Basic Expanding and simplifying algebraic expressions
Objective: To expand and simplify algebraic expressions involving grouping symbols
83 Algebra – Basic Solving Equations containing Addition and Subtraction
Objective: To solve one-step equations involving addition or subtraction
84 Algebra – Basic Solving Equations containing Multiplication and Division
Objective: To solve one-step equations involving multiplication or division
85 Space Mapping
Objective: To locate places and describe navigation on a map and use a row/column grid
86 Space Main and intermediate compass points
Objective: To specify direction using the eight points of a compass
87 Space Informal coordinate system
Objective: To specify location using a map coordinate system – origin top left
88 Graphs – Basic Line Graphs
Objective: To read and interpret line graphs
89 Graphs – Basic Pie and Bar Graphs
Objective: To read and interpret pie and bar graphs
90 Statistics part 1 Frequency distribution table
Objective: To construct a frequency distribution table for raw data and to interpret the table
91 Statistics part 1 Frequency histograms and polygons
Objective: To construct and interpret frequency histograms and polygons
92 Statistics part 1 Relative Frequency
Objective: To extend the frequency distribution table to include a relative frequency column
93 Probability Simple events
Objective: To find the probability of events using sample space and event set (E) and P(E) = n(E)/n(S)
94 Probability Experimental probability
Objective: To find the experimental probabilities of an experimental trial
95 Probability Experimental probability
Objective: To use tree diagrams to determine sample spaces and compound probabilities
96 Exam Exam – Grade 7
Objective: Exam
Go to top

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 Algebra – Basic Directed Numbers: Addition and Subtraction
Objective: To add/subtract numbers using a number line – first number and answer can be negative
3 Algebra – Basic Directed Numbers: Multiplication and Division
Objective: To multiply and divide directed numbers and evaluate powers of directed numbers
4 Fractions Finding equivalent fractions
Objective: To reduce a fraction to its lowest form
5 Fractions Multiplying and dividing to obtain equivalent fractions.
Objective: To find equivalent fractions using multiplication or division.
6 Fractions Reducing fractions to lowest equivalent form
Objective: To reduce a fraction to its lowest form
7 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
8 Fractions Subtracting fractions from whole numbers
Objective: To use a diagram and mental strategies to subtract fractions from whole numbers
9 Fractions Adding and subtracting fractions with the same denominator
Objective: To add and subtract fractions with the same denominator
10 Fractions Adding and subtracting fractions with different denominators
Objective: To add fractions with different denominators and the answer is less than 1
11 Fractions Multiplying fractions by whole numbers
Objective: To multiply common fractions by whole numbers
12 Fractions Fractions of whole numbers
Objective: To find fractions of whole numbers
13 Fractions Multiplying fractions
Objective: To multiply fractions and reduce the answer to its lowest form
14 Fractions Multiplying mixed numbers
Objective: To multiply mixed numbers and reduce the answer to its lowest form
15 Fractions Finding reciprocals of fractions and mixed numbers
Objective: To find the reciprocals of fractions and mixed numbers
16 Fractions Dividing fractions
Objective: To divide fractions by other fractions
17 Fractions Dividing mixed numbers
Objective: To divide mixed numbers
18 Fractions BODMAS
Objective: To calculate answers for fraction and mixed number questions using BODMAS
19 Decimals Adding decimals to two decimal places
Objective: To add decimals with the same number of decimal places (to two decimal Places)
20 Decimals Subtracting decimals to two decimal places
Objective: To subtract decimals with the same number of decimal places (to two decimal places)
21 Decimals Using decimals – shopping problems
Objective: To read and interpret problems involving money
22 Decimals Using decimals to record length
Objective: To interpret the everyday use of fractions and decimals
23 Decimals Rounding Decimals
Objective: To round a number with one or two decimal places to the nearest whole number
24 Decimals Decimals to three decimal places
Objective: To express a number on a thousand as a decimal in thousandths
25 Decimals Adding decimals with a different number of decimal places
Objective: To add decimal numbers with a different number of decimal places
26 Decimals Subtracting decimals with a different number of places
Objective: To subtract decimals with a different number of decimal places
27 Decimals Multiplying decimals by 10, 100 and 1000
Objective: To recognise the pattern formed when decimals are multiplied by 10, 100 and 1000
28 Decimals Multiplying decimals by single-digit numbers
Objective: To multiply decimals by single-digit numbers
29 Decimals Multiplication of decimals by decimals to two decimal places
Objective: To multiply decimals to two digits
30 Decimals Dividing decimals by 10, 100 and 1000
Objective: To recognise the pattern formed when decimals are divided by 10, 100 and 1000
31 Decimals Dividing decimals by whole numbers
Objective: To divide decimals by whole numbers
32 Decimals Dividing numbers by decimals
Objective: To divide a whole number by a decimal fraction
33 Percentages Understanding percentages
Objective: To recognise the percentage symbol and relate a common percentage to a fraction
34 Percentages Changing fractions and decimals to percentages tenths and hundredths
Objective: To represent fractions and decimals as percentages
35 Percentages Changing percentages to fractions and decimals
Objective: To change percentages to fractions and decimals
36 Percentages One Quantity as a Percentage of Another
Objective: To determine what one quantity is as a percentage of another
37 Uniform motion The Speed Formula
Objective: To calculate speed, distance or time using speed = distance/time
38 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
39 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
40 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
41 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
42 Measurement – Capacity Using the cubic cm and displacement to measure volume and capacity
Objective: To find volume and capacity using displacement
43 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
44 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
45 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
46 Measurement – Capacity Estimate, measure and compare the capacity of containers
Objective: To understand estimation and a way to go about it
47 Measurement – Capacity Converting between volume and capacity using milliliters and liters
Objective: To solve capacity problems involving mixed dimensional units
48 Measurement – Mass The Kilogram
Objective: To recognise which of two (or more) objects has the greater mass
49 Measurement – Mass The Gram
Objective: To calculate net mass in grams and solve shopping problems involving mass
50 Measurement – Advanced area Area of a Circle
Objective: To calculate the area of circles and sectors and to solve circle problems
51 Measurement – Advanced area Area of Regular Polygons and Composite Figures
Objective: To calculate area of composite figures and solve problems using correct formulae
52 Measurement – Advanced volume Finding the volume of prisms
Objective: To calculate the volume of prisms using V=Ah and solve volume problems
53 Measurement – Advanced volume Volume of a Cylinder and Sphere
Objective: To solve problems and calculate volumes of cylinders and spheres and parts of each
54 Space Using the prefix to determine polygons
Objective: To continue sequences of shapes and recognise prefixes and name polygons
55 Space Spatial properties of quadrilaterals
Objective: To recall and recognise properties of different quadrilaterals
56 Space Measure and classify angles
Objective: To classify and measure angles and calculate angles in a triangle
57 Space Recognise and name triangles
Objective: To recall properties of different triangles
58 Space Use grids to enlarge/reduce 2-D shapes
Objective: To recognise shapes that tessellate and specify position on a grid
59 Space Recognise and name prisms according to spatial properties
Objective: To name prisms according to the shape of the base
60 Space Recognise and name pyramids according to spatial properties
Objective: To name pyramids according to the shape of the base
61 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
62 Space Viewing 3-D Shapes
Objective: To recognise what a solid looks like when viewed from a given direction
63 Problem solving Word Problems with Area
Objective: To solve area word problems using + – x and /
64 Problem solving Word Problems with Volume/Capacity
Objective: To solve volume and capacity word problems using + – x and /
65 Surface area Surface Area of a Cube/Rectangular Prism
Objective: To calculate the surface area of cubes and rectangular prisms
66 Surface area Surface Area of a Cylinder and Sphere
Objective: To calculate the surface area of cylinders and spheres
67 Geometry part 1 Measuring Angles
Objective: To use a protractor to measure angles and identify angles as acute, obtuse or reflex
68 Geometry part 1 Adjacent Angles
Objective: To recognise and calculate the size of adjacent angles
69 Geometry part 1 Complementary and Supplementary Angles
Objective: To recognise and calculate the size of complementary and supplementary angles
70 Geometry part 1 Vertically Opposite Angles
Objective: To determine values of pronumerals in vertically opposite angles
71 Geometry part 1 Angles at a Point
Objective: To use angles at a point to calculate unknown angles
72 Geometry part 1 Parallel Lines
Objective: To identify angle pairs and calculate angles formed by a transversal and parallel lines
73 Geometry part 1 Additional questions involving parallel lines
Objective: To determine angle magnitude for angles formed by parallel lines and transversals
74 Quadrilaterals Quadrilaterals 1
Objective: To recognise, name and describe the properties of quadrilaterals
75 Quadrilaterals Properties of Parallelograms – Opposite Angles Equal
Objective: To prove and use ‘Opposite angles of a parallelogram are congruent’
76 Quadrilaterals Properties of Parallelograms – Diagonals, Sides and Angles
Objective: To prove parallelogram properties and calculate unknown angles and lengths
77 Quadrilaterals The Parallelogram Umbrella
Objective: To prove properties of specific parallelograms and find angles and lengths
78 Quadrilaterals Properties of Trapezoids
Objective: To prove properties of trapezoids and find unknown lengths and angles
79 Quadrilaterals Quadrilaterals 6
Objective: To establish the properties of quadrilaterals in the number plane
80 Geometry part 2 Congruent triangles: Tests 1 and 2
Objective: To recognise congruent triangles and matching sides and angles using SSS and SAS
81 Geometry part 2 Congruent triangles: Tests 3 and 4
Objective: To recognise congruent triangles and matching sides and angles using AAS and RHS
82 Geometry part 2 Proofs and Congruent Triangles
Objective: To use congruency in formal proofs in order to determine unknown angles and sides
83 Geometry part 2 Similar Triangles
Objective: To use similarity tests for triangles and determine unknown sides and angles in triangles
84 Geometry part 2 Using Similar Triangles to Calculate Lengths
Objective: To determine unknown sides and angles of similar triangles
85 Geometry part 2 Examples involving overlapping triangles
Objective: To determine the lengths of unknown sides in overlapping or adjacent similar triangles
86 Pythagoras Pythagoras’ Theorem: Finding the Hypotenuse
Objective: To calculate the length of a hypotenuse using Pythagoras’ Theorem
87 Pythagoras Using Pythagorean Triples to Identify Right Triangles
Objective: To identify right triangles by using Pythagorean Triples or Pythagoras’ Theorem
88 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
89 Pythagoras Calculating a Leg of a right-angled Triangle
Objective: To calculate the length of sides other than the hypotenuse using Pythagoras’ Theorem
90 Algebra – Basic Algebraic Expressions
Objective: To simplify numerical expressions and simplify and expand algebraic expressions
91 Algebra – Basic Substitution into Algebraic Expressions
Objective: To evaluate simple algebraic expressions using whole numbers, fractions and decimals
92 Algebra – Basic Simplifying Algebraic Expressions: Adding Like Terms
Objective: To simplify numeric and algebraic addition expressions by collecting like terms
93 Algebra – Basic Simplifying Algebraic Expressions: Subtracting Like Terms
Objective: To simplify algebraic subtractions by collecting like terms
94 Algebra – Basic Simplifying Algebraic Expressions: Combining Addition and Subtraction
Objective: To simplify expressions containing addition and subtraction and two unlike terms
95 Algebra – Basic Simplifying Algebraic Expressions: Multiplication
Objective: To simplify algebraic products using (but not stating) the commutative law
96 Algebra – Basic Simplifying Algebraic Expressions: Division
Objective: To divide algebraic terms where the divisor is a factor of the dividend
97 Algebra – Basic Expanding Algebraic Expressions: multiplication
Objective: To remove grouping symbols from an expression where the multiplier is monomial
98 Algebra – Basic Expanding Algebraic Expressions: Negative multiplier
Objective: To expand parentheses when there is a negative multiplier
99 Algebra – Basic Expanding and simplifying algebraic expressions
Objective: To expand and simplify algebraic expressions involving grouping symbols
100 Algebra – Basic Solving Equations containing Addition and Subtraction
Objective: To solve one-step equations involving addition or subtraction
101 Algebra – Basic Solving Equations containing Multiplication and Division
Objective: To solve one-step equations involving multiplication or division
102 Algebra – Basic Solving Two-Step Equations
Objective: To solve two-step equations without division in the initial problem
103 Algebra – Basic Solving Equations Containing Binomial Expressions
Objective: To solve equations with binomial expressions on each side
104 Algebra – Basic Equations involving Grouping Symbols
Objective: To solve equations containing grouping symbols on each side
105 Algebra – Basic Equations involving fractions
Objective: To solve fraction equations with the unknown in either the numerator or denominator
106 Algebra – Basic Equations Resulting from Substitution into Formulae
Objective: To solve equations created by substituting values into formulae
107 Algebra – Basic Changing the Subject of the Formula
Objective: To change the subject of algebraic formulae using equation-solving techniques
108 Space Mapping
Objective: To locate places and describe navigation on a map and use a row/column grid
109 Space Main and intermediate compass points
Objective: To specify direction using the eight points of a compass
110 Space Informal coordinate system
Objective: To specify location using a map coordinate system – origin top left
111 Graphs – Basic Line Graphs
Objective: To read and interpret line graphs
112 Graphs – Basic Pie and Bar Graphs
Objective: To read and interpret pie and bar graphs
113 Statistics part 1 Frequency distribution table
Objective: To construct a frequency distribution table for raw data and to interpret the table
114 Statistics part 1 Frequency histograms and polygons
Objective: To construct and interpret frequency histograms and polygons
115 Statistics part 1 Relative Frequency
Objective: To extend the frequency distribution table to include a relative frequency column
116 Statistics part 1 The Scatter plot
Objective: To make a valid interpretation of data presented as a scatter plot
117 Probability Simple events
Objective: To find the probability of events using sample space and event set (E) and P(E) = n(E)/n(S)
118 Probability Experimental probability
Objective: To find the experimental probabilities of an experimental trial
119 Probability Experimental probability
Objective: To use tree diagrams to determine sample spaces and compound probabilities
120 Probability The Complementary Result
Objective: To calculate the probability of complementary events using P(E) = 1 – P(not E)
121 Exam Exam – Grade 8
Objective: Exam
Go to top

Grade 9 - Principles of Mathematics (Academic) Mathematics

# TOPIC TITLE
1 Study Plan Study plan – Grade 9 – Principles of Mathematics (Academic)
Objective: On completion of the course formative assessment a tailored study plan is created identifying the lessons requiring revision.
2 Algebra – Basic Directed Numbers: Addition and Subtraction
Objective: To add/subtract numbers using a number line – first number and answer can be negative
3 Algebra – Basic Directed Numbers: Multiplication and Division
Objective: To multiply and divide directed numbers and evaluate powers of directed numbers
4 Fractions BODMAS
Objective: To calculate answers for fraction and mixed number questions using BODMAS
5 Decimals Rounding Decimals
Objective: To round a number with one or two decimal places to the nearest whole number
6 Decimals Multiplication of decimals by decimals to two decimal places
Objective: To multiply decimals to two digits
7 Decimals Dividing numbers by decimals
Objective: To divide a whole number by a decimal fraction
8 Percentages Changing percentages to fractions and decimals
Objective: To change percentages to fractions and decimals
9 Percentages One Quantity as a Percentage of Another
Objective: To determine what one quantity is as a percentage of another
10 Uniform motion The Speed Formula
Objective: To calculate speed, distance or time using speed = distance/time
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 Indices/Exponents Adding indices when multiplying terms with the same base
Objective: To add indices when multiplying powers that have the same base
26 Indices/Exponents Subtracting indices when dividing terms with the same base
Objective: To subtract indices when dividing powers of the same base
27 Indices/Exponents Multiplying indices when raising a power to a power
Objective: To multiply indices when raising a power to a power
28 Indices/Exponents Multiplying indices when raising to more than one term
Objective: To raise power products to a power
29 Indices/Exponents Terms raised to the power of zero
Objective: To evaluate expressions where quantities are raised to the power 0
30 Space Informal coordinate system
Objective: To specify location using a map coordinate system – origin top left
31 Graphs – Basic Line Graphs
Objective: To read and interpret line graphs
32 Graphs – Basic Pie and Bar Graphs
Objective: To read and interpret pie and bar graphs
33 Statistics part 1 Frequency distribution table
Objective: To construct a frequency distribution table for raw data and to interpret the table
34 Statistics part 1 Frequency histograms and polygons
Objective: To construct and interpret frequency histograms and polygons
35 Statistics part 1 Relative Frequency
Objective: To extend the frequency distribution table to include a relative frequency column
36 Statistics part 1 The Scatter plot
Objective: To make a valid interpretation of data presented as a scatter plot
37 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
38 Co-ordinate geometry part 1 The Gradient Formula
Objective: To use the gradient formula to find the gradient of straight lines
39 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
40 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
41 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
42 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
43 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)
44 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
45 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
46 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
47 Co-ordinate geometry part 2 Perpendicular Lines
Objective: To identify the equation of a line that is perpendicular to a given linear equation
48 Space Recognise and name prisms according to spatial properties
Objective: To name prisms according to the shape of the base
49 Space Recognise and name pyramids according to spatial properties
Objective: To name pyramids according to the shape of the base
50 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
51 Space Viewing 3-D Shapes
Objective: To recognise what a solid looks like when viewed from a given direction
52 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
53 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
54 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
55 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
56 Measurement – Capacity Converting between volume and capacity using milliliters and liters
Objective: To solve capacity problems involving mixed dimensional units
57 Measurement – Capacity Estimate, measure and compare the capacity of containers
Objective: To understand estimation and a way to go about it
58 Measurement – Advanced area Area of a Trapezium
Objective: To calculate the area of trapezia using A=(h/2)(a+b)
59 Measurement – Advanced area Area of a Rhombus
Objective: To calculate the area of a rhombus using diagonal products
60 Measurement – Advanced area Area of a Circle
Objective: To calculate the area of circles and sectors and to solve circle problems
61 Measurement – Advanced area Area of Regular Polygons and Composite Figures
Objective: To calculate area of composite figures and solve problems using correct formulae
62 Problem solving Word Problems with Area
Objective: To solve area word problems using + – x and /
63 Measurement – Advanced volume Finding the volume of prisms
Objective: To calculate the volume of prisms using V=Ah and solve volume problems
64 Measurement – Advanced volume Volume of a Cylinder and Sphere
Objective: To solve problems and calculate volumes of cylinders and spheres and parts of each
65 Measurement – Advanced volume Volume of Pyramids and Cones
Objective: To calculate the volumes of pyramids and cones
66 Measurement – Advanced volume Composite Solids
Objective: To calculate the volume of composite figures using appropriate formulae
67 Problem solving Word Problems with Volume/Capacity
Objective: To solve volume and capacity word problems using + – x and /
68 Surface area Surface Area of a Cube/Rectangular Prism
Objective: To calculate the surface area of cubes and rectangular prisms
69 Surface area Surface Area of a Triangular/Trapezoidal Prism
Objective: To calculate the surface area of triangular and trapezoidal prisms
70 Surface area Surface Area of a Cylinder and Sphere
Objective: To calculate the surface area of cylinders and spheres
71 Surface area Surface Area of Pyramids
Objective: To calculate the surface area of pyramids
72 Pythagoras Pythagoras’ Theorem: Finding the Hypotenuse
Objective: To calculate the length of a hypotenuse using Pythagoras’ Theorem
73 Pythagoras Using Pythagorean Triples to Identify Right Triangles
Objective: To identify right triangles by using Pythagorean Triples or Pythagoras’ Theorem
74 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
75 Pythagoras Calculating a Leg of a right-angled Triangle
Objective: To calculate the length of sides other than the hypotenuse using Pythagoras’ Theorem
76 Geometry part 1 Angle Sum of a Triangle
Objective: To use the angle sum for a triangle to calculate unknown angles
77 Geometry part 1 Exterior angle theorem
Objective: To use the external angle of a triangle theorem to calculate unknown angles
78 Geometry part 1 Special triangles
Objective: To use the properties of equilateral and isosceles triangles to calculate angle size
79 Geometry part 1 Quadrilaterals
Objective: To use the angle sum of a quadrilateral to calculate unknown angles
80 Quadrilaterals Quadrilaterals 1
Objective: To recognise, name and describe the properties of quadrilaterals
81 Quadrilaterals Properties of Parallelograms – Opposite Angles Equal
Objective: To prove and use ‘Opposite angles of a parallelogram are congruent’
82 Quadrilaterals Properties of Parallelograms – Diagonals, Sides and Angles
Objective: To prove parallelogram properties and calculate unknown angles and lengths
83 Quadrilaterals The Parallelogram Umbrella
Objective: To prove properties of specific parallelograms and find angles and lengths
84 Quadrilaterals Properties of Trapezoids
Objective: To prove properties of trapezoids and find unknown lengths and angles
85 Exam Exam – Grade 9 – Principles of Mathematics (Academic)
Objective: Exam
Go to top

Grade 9 - Foundation of Mathematics (Applied) Mathematics

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

Grade 10 - Principles of Mathematics (Academic) Mathematics

# TOPIC TITLE
1 Study Plan Study plan – Grade 10 – Principles of Mathematics (Academic)
Objective: On completion of the course formative assessment a tailored study plan is created identifying the lessons requiring revision.
2 Algebra – Products and factors Binomial Products
Objective: To expand and simplify monic binomial products of the form (x + a)(x +/- b)
3 Algebra – Products and factors Binomial products with negative multiplier
Objective: To expand and simplify monic binomial products of the form (x – a)(x +/- b)
4 Algebra – Products and factors Binomial Products (nonmonic)
Objective: To expand and simplify nonmonic binomial products
5 Algebra – Products and factors Squaring a Binomial (monic)
Objective: To expand the square of a binomial by multiplication and by inspection
6 Algebra – Products and factors Squaring a Binomial (nonmonic)
Objective: To expand the square of a nonmonic binomial by inspection
7 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
8 Algebra – Products and factors Products in Simplification of Algebraic Expressions
Objective: To simplify algebraic expressions containing binomial products
9 Algebra – Products and factors Larger Expansions
Objective: To expand and simplify the product of a binomial and a trinomial
10 Algebra – Products and factors Highest Common Factor
Objective: To factorise an expression by identifying and extracting the highest common factor
11 Algebra – Products and factors Factors by Grouping
Objective: To factorise a four-term expression by grouping
12 Algebra – Products and factors Difference of Two Squares
Objective: To factorise differences of two squares
13 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.
14 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.
15 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.
16 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.
17 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.
18 Algebra – Products and factors Factorisation of nonmonic quadratic trinomials
Objective: To factorise nonmonic quadratic trinomials using the ‘X’ method
19 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
20 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
21 Graphs part 1 Graphing perfect squares: y=(a-x) squared
Objective: To describe and sketch parabolas of the form y = (x – a)^2
22 Graphs part 1 Graphing irrational roots
Objective: To determine the vertex (using -b/2a), and other derived properties, to sketch a parabola
23 Graphs part 1 Solving Simultaneous Equations graphically
Objective: To solve simultaneous equations graphically
24 Algebra – Quadratic equations Introduction to Quadratic Equations
Objective: To find the solutions of quadratic equations presented as a product of factors
25 Algebra – Quadratic equations Solving Quadratic Equations with Factorisation
Objective: To solve quadratic equations requiring factorisation
26 Algebra – Quadratic equations Solving Quadratic Equations
Objective: To solve quadratic equations that need to be changed into the form ax^2 + bx + c = 0
27 Algebra – Quadratic equations Completing the square
Objective: To complete an incomplete square
28 Algebra – Quadratic equations Solving Quadratic Equations by Completing the Square
Objective: To solve quadratic equations by completing the square
29 Algebra – Quadratic equations The Quadratic Formula
Objective: To find the roots of a quadratic equation by using the quadratic formula
30 Algebra – Quadratic equations Problem solving with quadratic equations
Objective: To solve problems which require finding the roots of a quadratic equation
31 Algebra – Quadratic equations Solving Simultaneous Quadratic Equations Graphically
Objective: To determine points of intersection of quadratic and linear equations
32 Conic sections The Parabola
Objective: To examine the properties of parabolas of the forms x^2 = 4py and y^2 = 4px
33 Graphs part 2 The Rectangular Hyperbola
Objective: To graph rectangular hyperbolae whose equations are of the form xy = a and y = a/x
34 Graphs part 2 The Exponential Function
Objective: To graph exponential curves whose exponents are either positive or negative
35 Co-ordinate geometry part 1 The Distance Formula
Objective: To use the distance formula to calculate the lengths of lines and distances
36 Co-ordinate geometry part 1 The Mid-Point Formula
Objective: To determine the mid-point of an interval using the mid-point formula
37 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
38 Co-ordinate geometry part 1 The Gradient Formula
Objective: To use the gradient formula to find the gradient of straight lines
39 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
40 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
41 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
42 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
43 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)
44 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
45 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
46 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
47 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
48 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
49 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
50 Co-ordinate geometry part 2 Perpendicular Lines
Objective: To identify the equation of a line that is perpendicular to a given linear equation
51 Co-ordinate geometry part 2 Perpendicular Distance
Objective: To calculate the perpendicular distance from a point to a line and between lines
52 Geometry part 2 Congruent triangles: Tests 1 and 2
Objective: To recognise congruent triangles and matching sides and angles using SSS and SAS
53 Geometry part 2 Congruent triangles: Tests 3 and 4
Objective: To recognise congruent triangles and matching sides and angles using AAS and RHS
54 Geometry part 2 Proofs and Congruent Triangles
Objective: To use congruency in formal proofs in order to determine unknown angles and sides
55 Geometry part 2 Similar Triangles
Objective: To use similarity tests for triangles and determine unknown sides and angles in triangles
56 Geometry part 2 Using Similar Triangles to Calculate Lengths
Objective: To determine unknown sides and angles of similar triangles
57 Geometry part 2 Examples involving overlapping triangles
Objective: To determine the lengths of unknown sides in overlapping or adjacent similar triangles
58 Pythagoras Pythagoras’ Theorem: Finding the Hypotenuse
Objective: To calculate the length of a hypotenuse using Pythagoras’ Theorem
59 Pythagoras Using Pythagorean Triples to Identify Right Triangles
Objective: To identify right triangles by using Pythagorean Triples or Pythagoras’ Theorem
60 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
61 Pythagoras Calculating a Leg of a right-angled Triangle
Objective: To calculate the length of sides other than the hypotenuse using Pythagoras’ Theorem
62 Trigonometry part 1 Trigonometric Ratios
Objective: To name the sides of a right-angled triangle and to determine the trig ratios of an angle
63 Trigonometry part 1 Using the Calculator
Objective: To determine trigonometric ratios using a calculator
64 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
65 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
66 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
67 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
68 Trigonometry part 1 Bearings: The Compass
Objective: To change from true bearings to compass bearings and vice versa
69 Trigonometry part 1 Angles of Elevation and Depression
Objective: To identify and distinguish between angles of depression and elevation
70 Trigonometry part 1 Trigonometric Ratios in Practical Situations
Objective: To solve problems involving bearings and angles of elevation and depression
71 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
72 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
73 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
74 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
75 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
76 Trigonometry part 1 The Sine Rule: Finding a Side
Objective: To find an unknown side of a triangle using the sine rule
77 Trigonometry part 1 The Sine Rule: Finding an Angle
Objective: To find an unknown angle of a triangle using the sine rule
78 Exam Exam – Grade 10 – Principles of Mathematics (Academic)
Objective: Exam
Go to top

Grade 10 - Foundation of Mathematics (Applied) Mathematics

# TOPIC TITLE
1 Study Plan Study plan – Grade 10 – Foundation of Mathematics (Applied)
Objective: On completion of the course formative assessment a tailored study plan is created identifying the lessons requiring revision.
2 Geometry part 2 Congruent triangles: Tests 1 and 2
Objective: To recognise congruent triangles and matching sides and angles using SSS and SAS
3 Geometry part 2 Congruent triangles: Tests 3 and 4
Objective: To recognise congruent triangles and matching sides and angles using AAS and RHS
4 Geometry part 2 Proofs and Congruent Triangles
Objective: To use congruency in formal proofs in order to determine unknown angles and sides
5 Geometry part 2 Similar Triangles
Objective: To use similarity tests for triangles and determine unknown sides and angles in triangles
6 Geometry part 2 Using Similar Triangles to Calculate Lengths
Objective: To determine unknown sides and angles of similar triangles
7 Geometry part 2 Examples involving overlapping triangles
Objective: To determine the lengths of unknown sides in overlapping or adjacent similar triangles
8 Pythagoras Pythagoras’ Theorem: Finding the Hypotenuse
Objective: To calculate the length of a hypotenuse using Pythagoras’ Theorem
9 Pythagoras Using Pythagorean Triples to Identify Right Triangles
Objective: To identify right triangles by using Pythagorean Triples or Pythagoras’ Theorem
10 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
11 Pythagoras Calculating a Leg of a right-angled Triangle
Objective: To calculate the length of sides other than the hypotenuse using Pythagoras’ Theorem
12 Trigonometry part 1 Trigonometric Ratios
Objective: To name the sides of a right-angled triangle and to determine the trig ratios of an angle
13 Trigonometry part 1 Using the Calculator
Objective: To determine trigonometric ratios using a calculator
14 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
15 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
16 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
17 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
18 Trigonometry part 1 Bearings: The Compass
Objective: To change from true bearings to compass bearings and vice versa
19 Trigonometry part 1 Angles of Elevation and Depression
Objective: To identify and distinguish between angles of depression and elevation
20 Trigonometry part 1 Trigonometric Ratios in Practical Situations
Objective: To solve problems involving bearings and angles of elevation and depression
21 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
22 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
23 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
24 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
25 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
26 Measurement – Capacity Converting between volume and capacity using milliliters and liters
Objective: To solve capacity problems involving mixed dimensional units
27 Measurement – Capacity Estimate, measure and compare the capacity of containers
Objective: To understand estimation and a way to go about it
28 Measurement – Advanced area Area of a Trapezium
Objective: To calculate the area of trapezia using A=(h/2)(a+b)
29 Measurement – Advanced area Area of a Rhombus
Objective: To calculate the area of a rhombus using diagonal products
30 Measurement – Advanced area Area of a Circle
Objective: To calculate the area of circles and sectors and to solve circle problems
31 Measurement – Advanced area Area of Regular Polygons and Composite Figures
Objective: To calculate area of composite figures and solve problems using correct formulae
32 Problem solving Word Problems with Area
Objective: To solve area word problems using + – x and /
33 Measurement – Advanced volume Finding the volume of prisms
Objective: To calculate the volume of prisms using V=Ah and solve volume problems
34 Measurement – Advanced volume Volume of a Cylinder and Sphere
Objective: To solve problems and calculate volumes of cylinders and spheres and parts of each
35 Measurement – Advanced volume Volume of Pyramids and Cones
Objective: To calculate the volumes of pyramids and cones
36 Measurement – Advanced volume Composite Solids
Objective: To calculate the volume of composite figures using appropriate formulae
37 Problem solving Word Problems with Volume/Capacity
Objective: To solve volume and capacity word problems using + – x and /
38 Surface area Surface Area of a Cube/Rectangular Prism
Objective: To calculate the surface area of cubes and rectangular prisms
39 Surface area Surface Area of a Triangular/Trapezoidal Prism
Objective: To calculate the surface area of triangular and trapezoidal prisms
40 Surface area Surface Area of a Cylinder and Sphere
Objective: To calculate the surface area of cylinders and spheres
41 Surface area Surface Area of Pyramids
Objective: To calculate the surface area of pyramids
42 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
43 Co-ordinate geometry part 1 The Gradient Formula
Objective: To use the gradient formula to find the gradient of straight lines
44 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
45 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
46 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
47 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
48 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)
49 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
50 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
51 Algebra – Basic Solving Two-Step Equations
Objective: To solve two-step equations without division in the initial problem
52 Algebra – Basic Solving Equations Containing Binomial Expressions
Objective: To solve equations with binomial expressions on each side
53 Algebra – Basic Equations involving Grouping Symbols
Objective: To solve equations containing grouping symbols on each side
54 Algebra – Basic Equations involving fractions
Objective: To solve fraction equations with the unknown in either the numerator or denominator
55 Algebra – Basic Equations Resulting from Substitution into Formulae
Objective: To solve equations created by substituting values into formulae
56 Algebra – Basic Changing the Subject of the Formula
Objective: To change the subject of algebraic formulae using equation-solving techniques
57 Simultaneous equations Simultaneous Equations
Objective: To solve simultaneous equations by substitution
58 Simultaneous equations Elimination method
Objective: To solve simultaneous equations by elimination
59 Simultaneous equations Elimination method part 2
Objective: To solve more difficult simultaneous equations by elimination
60 Simultaneous equations Applications of simultaneous equations
Objective: To solve problems using simultaneous equations
61 Algebra – Products and factors Binomial Products
Objective: To expand and simplify monic binomial products of the form (x + a)(x +/- b)
62 Algebra – Products and factors Binomial products with negative multiplier
Objective: To expand and simplify monic binomial products of the form (x – a)(x +/- b)
63 Algebra – Products and factors Binomial Products (nonmonic)
Objective: To expand and simplify nonmonic binomial products
64 Algebra – Products and factors Squaring a Binomial (monic)
Objective: To expand the square of a binomial by multiplication and by inspection
65 Algebra – Products and factors Squaring a Binomial (nonmonic)
Objective: To expand the square of a nonmonic binomial by inspection
66 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
67 Algebra – Products and factors Products in Simplification of Algebraic Expressions
Objective: To simplify algebraic expressions containing binomial products
68 Algebra – Products and factors Larger Expansions
Objective: To expand and simplify the product of a binomial and a trinomial
69 Algebra – Products and factors Highest Common Factor
Objective: To factorise an expression by identifying and extracting the highest common factor
70 Algebra – Products and factors Factors by Grouping
Objective: To factorise a four-term expression by grouping
71 Algebra – Products and factors Difference of Two Squares
Objective: To factorise differences of two squares
72 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.
73 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.
74 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.
75 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.
76 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.
77 Algebra – Products and factors Factorisation of nonmonic quadratic trinomials
Objective: To factorise nonmonic quadratic trinomials using the ‘X’ method
78 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
79 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
80 Graphs part 1 Graphing perfect squares: y=(a-x) squared
Objective: To describe and sketch parabolas of the form y = (x – a)^2
81 Graphs part 1 Graphing irrational roots
Objective: To determine the vertex (using -b/2a), and other derived properties, to sketch a parabola
82 Graphs part 1 Solving Simultaneous Equations graphically
Objective: To solve simultaneous equations graphically
83 Algebra – Quadratic equations Introduction to Quadratic Equations
Objective: To find the solutions of quadratic equations presented as a product of factors
84 Algebra – Quadratic equations Solving Quadratic Equations with Factorisation
Objective: To solve quadratic equations requiring factorisation
85 Algebra – Quadratic equations Solving Quadratic Equations
Objective: To solve quadratic equations that need to be changed into the form ax^2 + bx + c = 0
86 Algebra – Quadratic equations Completing the square
Objective: To complete an incomplete square
87 Algebra – Quadratic equations Solving Quadratic Equations by Completing the Square
Objective: To solve quadratic equations by completing the square
88 Algebra – Quadratic equations The Quadratic Formula
Objective: To find the roots of a quadratic equation by using the quadratic formula
89 Algebra – Quadratic equations Problem solving with quadratic equations
Objective: To solve problems which require finding the roots of a quadratic equation
90 Algebra – Quadratic equations Solving Simultaneous Quadratic Equations Graphically
Objective: To determine points of intersection of quadratic and linear equations
91 Conic sections The Parabola
Objective: To examine the properties of parabolas of the forms x^2 = 4py and y^2 = 4px
92 Exam Exam – Grade 10 – Foundation of Mathematics (Applied)
Objective: Exam
Go to top

Grade 11 - Functions Mathematics

# TOPIC TITLE
1 Study Plan Study plan – Grade 11 – Functions
Objective: On completion of the course formative assessment a tailored study plan is created identifying the lessons requiring revision.
2 Surds/Radicals Introducing surds
Objective: To recognise and simplify numerical expressions involving surds
3 Surds/Radicals Some rules for the operations with surds
Objective: To learn rules for the division and multiplication of surds
4 Surds/Radicals Simplifying Surds
Objective: To simplify numerical expressions and solve equations involving surds
5 Surds/Radicals Creating entire surds
Objective: To write numbers as entire surds and compare numbers by writing as entire surds
6 Surds/Radicals Adding and subtracting like surds
Objective: To add and subtract surds and simplify expressions by collecting like surds
7 Surds/Radicals Expanding surds
Objective: To expand and simplify binomial expressions involving surds
8 Surds/Radicals Binomial expansions
Objective: To expand and simplify the squares of binomial sums and differences involving surds
9 Surds/Radicals Conjugate binomials with surds
Objective: To expand and simplify products of conjugate binomial expressions
10 Surds/Radicals Rationalising the denominator
Objective: To rationalise the denominator of a fraction where the denominator is a monomial surd
11 Surds/Radicals Rationalising binomial denominators
Objective: To rationalise the denominator of a fraction when the denominator is a binomial with surds
12 Algebra – Basic Simplifying easy algebraic fractions
Objective: To simplify simple algebraic fractions using cancellation of common factors
13 Algebra – Basic Simplifying algebraic fractions using the Index Laws
Objective: To use the index laws for division to simplify algebraic fractions
14 Algebra – Basic Algebraic fractions resulting in negative Indices
Objective: To simplify algebraic fractions using negative indices (as required) in the answer
15 Algebra – Basic Factorisation of algebraic fractions including binomials
Objective: To simplify algebraic fractions requiring the factorisation of binomial expressions
16 Algebra – Basic Cancelling binomial factors in algebraic fractions
Objective: To simplify algebraic fractions with binomials in both the numerator and denominator
17 Indices/Exponents Adding indices when multiplying terms with the same base
Objective: To add indices when multiplying powers that have the same base
18 Indices/Exponents Subtracting indices when dividing terms with the same base
Objective: To subtract indices when dividing powers of the same base
19 Indices/Exponents Multiplying indices when raising a power to a power
Objective: To multiply indices when raising a power to a power
20 Indices/Exponents Multiplying indices when raising to more than one term
Objective: To raise power products to a power
21 Indices/Exponents Terms raised to the power of zero
Objective: To evaluate expressions where quantities are raised to the power 0
22 Indices/Exponents Negative Indices
Objective: To evaluate or simplify expressions containing negative indices
23 Indices/Exponents Fractional Indices
Objective: To evaluate or simplify expressions containing fractional indices
24 Indices/Exponents Complex fractions as indices
Objective: To evaluate or simplify expressions containing complex fractional indices and radicals
25 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
26 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
27 Graphs part 1 Graphing perfect squares: y=(a-x) squared
Objective: To describe and sketch parabolas of the form y = (x – a)^2
28 Graphs part 1 Graphing irrational roots
Objective: To determine the vertex (using -b/2a), and other derived properties, to sketch a parabola
29 Graphs part 1 Solving Simultaneous Equations graphically
Objective: To solve simultaneous equations graphically
30 Algebra – Quadratic equations Solving Quadratic Equations
Objective: To solve quadratic equations that need to be changed into the form ax^2 + bx + c = 0
31 Algebra – Quadratic equations Completing the square
Objective: To complete an incomplete square
32 Algebra – Quadratic equations Solving Quadratic Equations by Completing the Square
Objective: To solve quadratic equations by completing the square
33 Algebra – Quadratic equations The Quadratic Formula
Objective: To find the roots of a quadratic equation by using the quadratic formula
34 Algebra – Quadratic equations Problem solving with quadratic equations
Objective: To solve problems which require finding the roots of a quadratic equation
35 Algebra – Quadratic equations Solving Simultaneous Quadratic Equations Graphically
Objective: To determine points of intersection of quadratic and linear equations
36 Logarithms Powers of 2
Objective: To convert between logarithm statements and indice statements
37 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
38 Logarithms Equations of type log 32 to the base x = 5
Objective: To solve Logrithmic Equation where the variable is the base x = 5
39 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
40 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)
41 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
42 Graphs part 2 Absolute Value Equations
Objective: To graph equations involving absolute values
43 Graphs part 2 The Rectangular Hyperbola
Objective: To graph rectangular hyperbolae whose equations are of the form xy = a and y = a/x
44 Graphs part 2 The Exponential Function
Objective: To graph exponential curves whose exponents are either positive or negative
45 Graphs part 2 Logarithmic Functions
Objective: To graph and describe log curves whose equations are of the form y = log (ax + b)
46 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
47 Conic sections The Parabola
Objective: To examine the properties of parabolas of the forms x^2 = 4py and y^2 = 4px
48 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
49 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
50 Conic sections The Hyperbola
Objective: To find the equation of a hyperbola and to derive properties (e.g. vertex) from its equation
51 Function Functions and Relations: domain and range
Objective: To identify and represent functions and relations
52 Function Function Notation
Objective: To write and evaluate functions using function notation
53 Function Selecting Appropriate Domain and Range
Objective: To determine appropriate domains for functions
54 Function Domain and Range from Graphical Representations
Objective: To determine the range of a function from its graphical representation
55 Function Evaluating and Graphing Piecewise Functions
Objective: To evaluate and graph piecewise functions
56 Function Combining Functions
Objective: To determine the resultant function after functions have been combined by plus, minus, times and divide
57 Function Simplifying Composite Functions
Objective: To simplify, evaluate and determine the domain of composite functions
58 Function Inverse Functions
Objective: To find the inverse of a function and determine whether this inverse is itself a function
59 Function Graphing Rational Functions Part 1
Objective: To determine asymptotes and graph rational functions using intercepts and asymptotes
60 Function Graphing Rational Functions Part 2
Objective: To determine asymptotes and graph rational functions
61 Function Parametric Equations
Objective: To interchange parametric and Cartesian equations and to identify graphs
62 Function Polynomial Addition: in Combining and Simplifying Functions
Objective: To evaluate, simplify and graph rational functions
63 Function Parametric Functions
Objective: To change Cartesian and parametric equations and to graph parametric functions
64 Polynomials Introduction to polynomials
Objective: To define polynomials by degree, leading term, leading coefficient, constant term and monic
65 Polynomials The Sum, Difference and Product of Two Polynomials
Objective: To add, subtract and multiply polynomials
66 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
67 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
68 Series and sequences part 1 The Arithmetic Progression
Objective: To find the common difference of a given arithmetic progression
69 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
70 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
71 Series and sequences part 1 Arithmetic Means
Objective: To find the arithmetic mean of two values
72 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
73 Series and sequences part 1 The Geometric Progression
Objective: To find the common ratio of a given geometric progression
74 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
75 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
76 Series and sequences part 2 Geometric Means
Objective: To find geometric means of a and b and insert geometric means between 2 endpoints
77 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
78 Series and sequences part 2 Sigma notation
Objective: To evaluate progressions using sigma notation
79 Series and sequences part 2 Limiting Sum or Sum to Infinity
Objective: To find the limiting sum of a sequence
80 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
81 Series and sequences part 2 Compound Interest
Objective: To calculate the compound interest of an investment using A=P(1+r/100)^n
82 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
83 Series and sequences part 2 Time Payments
Objective: To calculate the payments required to pay off a loan
84 Series and sequences part 2 Applications of arithmetic sequences
Objective: To learn about practical situations with arithmetic series
85 Probability The Binomial Theorem and Binomial Coefficients
Objective: To calculate binomial coefficients and expand binomial powers.
86 Probability Binomial probabilities using the Binomial Theorem
Objective: To calculate the binomial probability of a given number of successful trials
87 Trigonometry part 1 Trigonometric Ratios
Objective: To name the sides of a right-angled triangle and to determine the trig ratios of an angle
88 Trigonometry part 1 Using the Calculator
Objective: To determine trigonometric ratios using a calculator
89 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
90 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
91 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
92 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
93 Trigonometry part 1 Bearings: The Compass
Objective: To change from true bearings to compass bearings and vice versa
94 Trigonometry part 1 Angles of Elevation and Depression
Objective: To identify and distinguish between angles of depression and elevation
95 Trigonometry part 1 Trigonometric Ratios in Practical Situations
Objective: To solve problems involving bearings and angles of elevation and depression
96 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
97 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
98 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
99 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
100 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
101 Trigonometry part 1 The Sine Rule: Finding a Side
Objective: To find an unknown side of a triangle using the sine rule
102 Trigonometry part 1 The Sine Rule: Finding an Angle
Objective: To find an unknown angle of a triangle using the sine rule
103 Trigonometry part 2 Reciprocal Ratios
Objective: To find the trigonometric ratios for a given right-angled triangle
104 Trigonometry part 2 Complementary Angle Results
Objective: To use complementary angle ratios to find an unknown angle given a trigonometric equality
105 Trigonometry part 2 Trigonometric Identities
Objective: To simplify expressions using trigonometric equalities
106 Trigonometry part 2 Angles of Any Magnitude
Objective: To assign angles to quadrants and to find trigonometric values for angles
107 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
108 Trigonometry part 2 Graphing the Trigonometric Ratios I: Sine Curve
Objective: To recognise the sine curve and explore shifts of phase and amplitude
109 Trigonometry part 2 Graphing the Trigonometric Ratios II: Cosine Curve
Objective: To recognise the cosine curve and explore shifts of phase and amplitude
110 Trigonometry part 2 Graphing the Trigonometric Ratios III: Tangent Curve
Objective: To recognise the tangent curve and explore shifts of phase and amplitude
111 Trigonometry part 2 Graphing the Trigonometric Ratios IV: Reciprocal Ratios
Objective: To graph the primary trigonometric functions and their inverses
112 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.
113 Exam Exam – Grade 11 – Functions
Objective: Exam
Go to top

Grade 11 - Functions and Applications Mathematics

# TOPIC TITLE
1 Study Plan Study plan – Grade 11 – Functions and Applications
Objective: On completion of the course formative assessment a tailored study plan is created identifying the lessons requiring revision.
2 Algebra – Products and factors Squaring a Binomial (monic)
Objective: To expand the square of a binomial by multiplication and by inspection
3 Algebra – Products and factors Squaring a Binomial (nonmonic)
Objective: To expand the square of a nonmonic binomial by inspection
4 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
5 Algebra – Products and factors Products in Simplification of Algebraic Expressions
Objective: To simplify algebraic expressions containing binomial products
6 Algebra – Products and factors Larger Expansions
Objective: To expand and simplify the product of a binomial and a trinomial
7 Algebra – Products and factors Highest Common Factor
Objective: To factorise an expression by identifying and extracting the highest common factor
8 Algebra – Products and factors Factors by Grouping
Objective: To factorise a four-term expression by grouping
9 Algebra – Products and factors Difference of Two Squares
Objective: To factorise differences of two squares
10 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.
11 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.
12 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.
13 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.
14 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.
15 Algebra – Products and factors Factorisation of nonmonic quadratic trinomials
Objective: To factorise nonmonic quadratic trinomials using the ‘X’ method
16 Algebra – Products and factors Factorisation of nonmonic quadratic trinomials: Moon method
Objective: To factorise nonmonic quadratic trinomials using the ‘Moon’ method
17 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
18 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
19 Graphs part 1 Graphing perfect squares: y=(a-x) squared
Objective: To describe and sketch parabolas of the form y = (x – a)^2
20 Graphs part 1 Graphing irrational roots
Objective: To determine the vertex (using -b/2a), and other derived properties, to sketch a parabola
21 Graphs part 1 Solving Simultaneous Equations graphically
Objective: To solve simultaneous equations graphically
22 Algebra – Quadratic equations Introduction to Quadratic Equations
Objective: To find the solutions of quadratic equations presented as a product of factors
23 Algebra – Quadratic equations Solving Quadratic Equations with Factorisation
Objective: To solve quadratic equations requiring factorisation
24 Algebra – Quadratic equations Solving Quadratic Equations
Objective: To solve quadratic equations that need to be changed into the form ax^2 + bx + c = 0
25 Algebra – Quadratic equations Completing the square
Objective: To complete an incomplete square
26 Algebra – Quadratic equations Solving Quadratic Equations by Completing the Square
Objective: To solve quadratic equations by completing the square
27 Algebra – Quadratic equations The Quadratic Formula
Objective: To find the roots of a quadratic equation by using the quadratic formula
28 Algebra – Quadratic equations Problem solving with quadratic equations
Objective: To solve problems which require finding the roots of a quadratic equation
29 Algebra – Quadratic equations Solving Simultaneous Quadratic Equations Graphically
Objective: To determine points of intersection of quadratic and linear equations
30 Uniform motion The Speed Formula
Objective: To calculate speed, distance or time using speed = distance/time
31 Uniform motion Using Subscripted Variables
Objective: To use subscripted variables to solve motion problems
32 Uniform motion Uniform Motion With Equal Distances
Objective: To solve motion problems where distances are equal
33 Uniform motion Uniform Motion Adding the Distances
Objective: To solve motion problems where total distance travelled is given
34 Uniform motion Uniform Motion With Unequal Distances or Time
Objective: To solve motion problems where either distance or time are different
35 Uniform motion Uniform Motion Problems Where the Rate is Constant
Objective: To solve miscellaneous motion problems where the rate is constant
36 Uniform motion Vertical Motion under gravity: Object Dropped from Rest
Objective: To calculate velocity, time and distance for vertically falling objects dropped from rest
37 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
38 Indices/Exponents Adding indices when multiplying terms with the same base
Objective: To add indices when multiplying powers that have the same base
39 Indices/Exponents Subtracting indices when dividing terms with the same base
Objective: To subtract indices when dividing powers of the same base
40 Indices/Exponents Multiplying indices when raising a power to a power
Objective: To multiply indices when raising a power to a power
41 Indices/Exponents Multiplying indices when raising to more than one term
Objective: To raise power products to a power
42 Indices/Exponents Terms raised to the power of zero
Objective: To evaluate expressions where quantities are raised to the power 0
43 Indices/Exponents Negative Indices
Objective: To evaluate or simplify expressions containing negative indices
44 Indices/Exponents Fractional Indices
Objective: To evaluate or simplify expressions containing fractional indices
45 Indices/Exponents Complex fractions as indices
Objective: To evaluate or simplify expressions containing complex fractional indices and radicals
46 Algebra – Basic Simplifying easy algebraic fractions
Objective: To simplify simple algebraic fractions using cancellation of common factors
47 Algebra – Basic Simplifying algebraic fractions using the Index Laws
Objective: To use the index laws for division to simplify algebraic fractions
48 Algebra – Basic Algebraic fractions resulting in negative Indices
Objective: To simplify algebraic fractions using negative indices (as required) in the answer
49 Algebra – Basic Factorisation of algebraic fractions including binomials
Objective: To simplify algebraic fractions requiring the factorisation of binomial expressions
50 Algebra – Basic Cancelling binomial factors in algebraic fractions
Objective: To simplify algebraic fractions with binomials in both the numerator and denominator
51 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
52 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)
53 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
54 Graphs part 2 Absolute Value Equations
Objective: To graph equations involving absolute values
55 Graphs part 2 The Rectangular Hyperbola
Objective: To graph rectangular hyperbolae whose equations are of the form xy = a and y = a/x
56 Graphs part 2 The Exponential Function
Objective: To graph exponential curves whose exponents are either positive or negative
57 Graphs part 2 Logarithmic Functions
Objective: To graph and describe log curves whose equations are of the form y = log (ax + b)
58 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
59 Conic sections The Parabola
Objective: To examine the properties of parabolas of the forms x^2 = 4py and y^2 = 4px
60 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
61 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
62 Conic sections The Hyperbola
Objective: To find the equation of a hyperbola and to derive properties (e.g. vertex) from its equation
63 Function Functions and Relations: domain and range
Objective: To identify and represent functions and relations
64 Function Function Notation
Objective: To write and evaluate functions using function notation
65 Function Selecting Appropriate Domain and Range
Objective: To determine appropriate domains for functions
66 Function Domain and Range from Graphical Representations
Objective: To determine the range of a function from its graphical representation
67 Function Evaluating and Graphing Piecewise Functions
Objective: To evaluate and graph piecewise functions
68 Function Combining Functions
Objective: To determine the resultant function after functions have been combined by plus, minus, times and divide
69 Function Simplifying Composite Functions
Objective: To simplify, evaluate and determine the domain of composite functions
70 Function Inverse Functions
Objective: To find the inverse of a function and determine whether this inverse is itself a function
71 Function Graphing Rational Functions Part 1
Objective: To determine asymptotes and graph rational functions using intercepts and asymptotes
72 Function Graphing Rational Functions Part 2
Objective: To determine asymptotes and graph rational functions
73 Function Parametric Equations
Objective: To interchange parametric and Cartesian equations and to identify graphs
74 Function Polynomial Addition: in Combining and Simplifying Functions
Objective: To evaluate, simplify and graph rational functions
75 Function Parametric Functions
Objective: To change Cartesian and parametric equations and to graph parametric functions
76 Logarithms Powers of 2
Objective: To convert between logarithm statements and indice statements
77 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
78 Logarithms Equations of type log 32 to the base x = 5
Objective: To solve Logrithmic Equation where the variable is the base x = 5
79 Series and sequences part 2 Compound Interest
Objective: To calculate the compound interest of an investment using A=P(1+r/100)^n
80 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
81 Series and sequences part 2 Time Payments
Objective: To calculate the payments required to pay off a loan
82 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
83 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
84 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
85 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
86 Trigonometry part 1 Bearings: The Compass
Objective: To change from true bearings to compass bearings and vice versa
87 Trigonometry part 1 Angles of Elevation and Depression
Objective: To identify and distinguish between angles of depression and elevation
88 Trigonometry part 1 Trigonometric Ratios in Practical Situations
Objective: To solve problems involving bearings and angles of elevation and depression
89 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
90 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
91 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
92 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
93 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
94 Trigonometry part 1 The Sine Rule: Finding a Side
Objective: To find an unknown side of a triangle using the sine rule
95 Trigonometry part 1 The Sine Rule: Finding an Angle
Objective: To find an unknown angle of a triangle using the sine rule
96 Trigonometry part 2 Graphing the Trigonometric Ratios I: Sine Curve
Objective: To recognise the sine curve and explore shifts of phase and amplitude
97 Exam Exam – Grade 11 – Functions and Applications
Objective: Exam
Go to top

Grade 11 - Foundation for College Mathematics Mathematics

# TOPIC TITLE
1 Study Plan Study plan – Grade 11 – Foundation for College Mathematics
Objective: On completion of the course formative assessment a tailored study plan is created identifying the lessons requiring revision.
2 Algebra – Products and factors Larger Expansions
Objective: To expand and simplify the product of a binomial and a trinomial
3 Algebra – Products and factors Highest Common Factor
Objective: To factorise an expression by identifying and extracting the highest common factor
4 Algebra – Products and factors Factors by Grouping
Objective: To factorise a four-term expression by grouping
5 Algebra – Products and factors Difference of Two Squares
Objective: To factorise differences of two squares
6 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.
7 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.
8 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.
9 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.
10 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.
11 Algebra – Products and factors Factorisation of nonmonic quadratic trinomials
Objective: To factorise nonmonic quadratic trinomials using the ‘X’ method
12 Algebra – Products and factors Factorisation of nonmonic quadratic trinomials: Moon method
Objective: To factorise nonmonic quadratic trinomials using the ‘Moon’ method
13 Algebra – Products and factors Sum and Difference of Two Cubes
Objective: To factorise the sum and difference of two cubes
14 Algebra – Products and factors Simplifying algebraic fractions
Objective: To simplify algebraic fractions by factorisation and cancellation
15 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
16 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
17 Graphs part 1 Graphing perfect squares: y=(a-x) squared
Objective: To describe and sketch parabolas of the form y = (x – a)^2
18 Graphs part 1 Graphing irrational roots
Objective: To determine the vertex (using -b/2a), and other derived properties, to sketch a parabola
19 Graphs part 1 Solving Simultaneous Equations graphically
Objective: To solve simultaneous equations graphically
20 Algebra – Quadratic equations Introduction to Quadratic Equations
Objective: To find the solutions of quadratic equations presented as a product of factors
21 Algebra – Quadratic equations Solving Quadratic Equations with Factorisation
Objective: To solve quadratic equations requiring factorisation
22 Algebra – Quadratic equations Solving Quadratic Equations
Objective: To solve quadratic equations that need to be changed into the form ax^2 + bx + c = 0
23 Algebra – Quadratic equations Completing the square
Objective: To complete an incomplete square
24 Algebra – Quadratic equations Solving Quadratic Equations by Completing the Square
Objective: To solve quadratic equations by completing the square
25 Algebra – Quadratic equations The Quadratic Formula
Objective: To find the roots of a quadratic equation by using the quadratic formula
26 Algebra – Quadratic equations Problem solving with quadratic equations
Objective: To solve problems which require finding the roots of a quadratic equation
27 Algebra – Quadratic equations Solving Simultaneous Quadratic Equations Graphically
Objective: To determine points of intersection of quadratic and linear equations
28 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
29 Uniform motion The Speed Formula
Objective: To calculate speed, distance or time using speed = distance/time
30 Uniform motion Using Subscripted Variables
Objective: To use subscripted variables to solve motion problems
31 Uniform motion Uniform Motion With Equal Distances
Objective: To solve motion problems where distances are equal
32 Uniform motion Uniform Motion Adding the Distances
Objective: To solve motion problems where total distance travelled is given
33 Uniform motion Uniform Motion With Unequal Distances or Time
Objective: To solve motion problems where either distance or time are different
34 Uniform motion Uniform Motion Problems Where the Rate is Constant
Objective: To solve miscellaneous motion problems where the rate is constant
35 Uniform motion Vertical Motion under gravity: Object Dropped from Rest
Objective: To calculate velocity, time and distance for vertically falling objects dropped from rest
36 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
37 Indices/Exponents Adding indices when multiplying terms with the same base
Objective: To add indices when multiplying powers that have the same base
38 Indices/Exponents Subtracting indices when dividing terms with the same base
Objective: To subtract indices when dividing powers of the same base
39 Indices/Exponents Multiplying indices when raising a power to a power
Objective: To multiply indices when raising a power to a power
40 Indices/Exponents Multiplying indices when raising to more than one term
Objective: To raise power products to a power
41 Indices/Exponents Terms raised to the power of zero
Objective: To evaluate expressions where quantities are raised to the power 0
42 Indices/Exponents Negative Indices
Objective: To evaluate or simplify expressions containing negative indices
43 Indices/Exponents Fractional Indices
Objective: To evaluate or simplify expressions containing fractional indices
44 Indices/Exponents Complex fractions as indices
Objective: To evaluate or simplify expressions containing complex fractional indices and radicals
45 Logarithms Powers of 2
Objective: To convert between logarithm statements and indice statements
46 Graphs part 2 The Exponential Function
Objective: To graph exponential curves whose exponents are either positive or negative
47 Series and sequences part 1 The Geometric Progression
Objective: To find the common ratio of a given geometric progression
48 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
49 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
50 Series and sequences part 2 Geometric Means
Objective: To find geometric means of a and b and insert geometric means between 2 endpoints
51 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
52 Series and sequences part 2 Sigma notation
Objective: To evaluate progressions using sigma notation
53 Series and sequences part 2 Limiting Sum or Sum to Infinity
Objective: To find the limiting sum of a sequence
54 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
55 Series and sequences part 2 Compound Interest
Objective: To calculate the compound interest of an investment using A=P(1+r/100)^n
56 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
57 Series and sequences part 2 Time Payments
Objective: To calculate the payments required to pay off a loan
58 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
59 Space Viewing 3-D Shapes
Objective: To recognise what a solid looks like when viewed from a given direction
60 Measurement – Advanced area Area of a Circle
Objective: To calculate the area of circles and sectors and to solve circle problems
61 Measurement – Advanced area Area of Regular Polygons and Composite Figures
Objective: To calculate area of composite figures and solve problems using correct formulae
62 Measurement – Advanced volume Finding the volume of prisms
Objective: To calculate the volume of prisms using V=Ah and solve volume problems
63 Measurement – Advanced volume Volume of a Cylinder and Sphere
Objective: To solve problems and calculate volumes of cylinders and spheres and parts of each
64 Measurement – Advanced volume Volume of Pyramids and Cones
Objective: To calculate the volumes of pyramids and cones
65 Measurement – Advanced volume Composite Solids
Objective: To calculate the volume of composite figures using appropriate formulae
66 Trigonometry part 1 Angles of Elevation and Depression
Objective: To identify and distinguish between angles of depression and elevation
67 Trigonometry part 1 Trigonometric Ratios in Practical Situations
Objective: To solve problems involving bearings and angles of elevation and depression
68 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
69 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
70 Trigonometry part 1 The Sine Rule: Finding a Side
Objective: To find an unknown side of a triangle using the sine rule
71 Trigonometry part 1 The Sine Rule: Finding an Angle
Objective: To find an unknown angle of a triangle using the sine rule
72 Graphs – Basic Column Graphs
Objective: To read and interpret column graphs
73 Graphs – Basic Line Graphs
Objective: To read and interpret line graphs
74 Graphs – Basic Pie and Bar Graphs
Objective: To read and interpret pie and bar graphs
75 Statistics part 1 Frequency distribution table
Objective: To construct a frequency distribution table for raw data and to interpret the table
76 Statistics part 1 Frequency histograms and polygons
Objective: To construct and interpret frequency histograms and polygons
77 Statistics part 1 Relative Frequency
Objective: To extend the frequency distribution table to include a relative frequency column
78 Statistics part 1 The Range
Objective: To determine the range of data in either raw form or in a frequency distribution table
79 Statistics part 1 The Mode
Objective: To find the mode from raw data and from a frequency distribution table
80 Statistics part 1 The Mean
Objective: To calculate means from raw data and from a frequency table using an fx column
81 Statistics part 1 The Median
Objective: To determine the median of a set of raw scores
82 Statistics part 1 Cumulative Frequency
Objective: To construct cumulative frequency columns, histograms and polygons
83 Statistics part 1 Calculating the Mean from a Frequency Distribution
Objective: To determine averages (mean, median and mode) from cumulative frequency polygons
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 Probability Simple events
Objective: To find the probability of events using sample space and event set (E) and P(E) = n(E)/n(S)
94 Probability Rolling a pair of dice
Objective: To find the probability of selected events when two dice are rolled
95 Probability Experimental probability
Objective: To find the experimental probabilities of an experimental trial
96 Probability Experimental probability
Objective: To use tree diagrams to determine sample spaces and compound probabilities
97 Exam Exam – Grade 11 – Foundation for College Mathematics
Objective: Exam
Go to top

Grade 11 - Mathematics for Work and Everyday Life Mathematics

# TOPIC TITLE
1 Study Plan Study plan – Grade 11 – Mathematics for Work and Everyday Life
Objective: On completion of the course formative assessment a tailored study plan is created identifying the lessons requiring revision.
2 Decimals Using decimals – shopping problems
Objective: To read and interpret problems involving money
3 Percentages Calculating Percentages and Fractions of Quantities
Objective: To find percentages and fractions of quantities and solve problems with percentages
4 Percentages One Quantity as a Percentage of Another
Objective: To determine what one quantity is as a percentage of another
5 Series and sequences part 2 Compound Interest
Objective: To calculate the compound interest of an investment using A=P(1+r/100)^n
6 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
7 Geometry transformations Geometry Transformations without Matrices: Mixed and Combined Transformations
Objective: To identify images produced by a given sequence of transformations
8 Exam Exam – Grade 11 – Mathematics for Work and Everyday Life
Objective: Exam
Go to top

Grade 12 - Advanced Functions Mathematics

# TOPIC TITLE
1 Study Plan Study plan – Grade 12 – Advanced Functions
Objective: On completion of the course formative assessment a tailored study plan is created identifying the lessons requiring revision.
2 Indices/Exponents Adding indices when multiplying terms with the same base
Objective: To add indices when multiplying powers that have the same base
3 Indices/Exponents Subtracting indices when dividing terms with the same base
Objective: To subtract indices when dividing powers of the same base
4 Indices/Exponents Multiplying indices when raising a power to a power
Objective: To multiply indices when raising a power to a power
5 Indices/Exponents Multiplying indices when raising to more than one term
Objective: To raise power products to a power
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 Logarithms Powers of 2
Objective: To convert between logarithm statements and indice statements
11 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
12 Logarithms Equations of type log 32 to the base x = 5
Objective: To solve Logrithmic Equation where the variable is the base x = 5
13 Logarithms Laws of Logarithms
Objective: To review the logarithm laws
14 Logarithms Using the Log Laws to Expand Logarithmic Expressions
Objective: To expand expressions using the logarithm laws
15 Logarithms Using the Log Laws to Simplify Expressions Involving Logarithms
Objective: To simplify expressions using the logarithm laws
16 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
17 Logarithms Equations Involving Logarithms
Objective: To solve equations involving logarithms using the logarithm laws
18 Logarithms Using Logarithms to Solve Equations
Objective: To use logarithms to solve exponential equations
19 Logarithms Change of Base Formula
Objective: To evaluate log expressions using logarithms
20 Logarithms The Graph of the Logarithmic Curve
Objective: To learn the properties of the logarithmic curve
21 Logarithms The Graph of the Logarithmic Curve
Objective: To solve problems involving logarithmic curves
22 Graphs part 2 The Exponential Function
Objective: To graph exponential curves whose exponents are either positive or negative
23 Graphs part 2 Logarithmic Functions
Objective: To graph and describe log curves whose equations are of the form y = log (ax + b)
24 Trigonometry part 1 Angles of Elevation and Depression
Objective: To identify and distinguish between angles of depression and elevation
25 Trigonometry part 1 Trigonometric Ratios in Practical Situations
Objective: To solve problems involving bearings and angles of elevation and depression
26 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
27 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
28 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
29 Trigonometry part 2 Reciprocal Ratios
Objective: To find the trigonometric ratios for a given right-angled triangle
30 Trigonometry part 2 Complementary Angle Results
Objective: To use complementary angle ratios to find an unknown angle given a trigonometric equality
31 Trigonometry part 2 Trigonometric Identities
Objective: To simplify expressions using trigonometric equalities
32 Trigonometry part 2 Angles of Any Magnitude
Objective: To assign angles to quadrants and to find trigonometric values for angles
33 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
34 Trigonometry part 2 Graphing the Trigonometric Ratios I: Sine Curve
Objective: To recognise the sine curve and explore shifts of phase and amplitude
35 Trigonometry part 2 Graphing the Trigonometric Ratios II: Cosine Curve
Objective: To recognise the cosine curve and explore shifts of phase and amplitude
36 Trigonometry part 2 Graphing the Trigonometric Ratios III: Tangent Curve
Objective: To recognise the tangent curve and explore shifts of phase and amplitude
37 Trigonometry part 2 Graphing the Trigonometric Ratios IV: Reciprocal Ratios
Objective: To graph the primary trigonometric functions and their inverses
38 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.
39 Trigonometry part 2 Solving Trigonometric Equations – Type I
Objective: To Solve trigonometric equations for angles from 0 to 360 degrees.
40 Trigonometry part 2 Solving Trigonometric Equations – Type II
Objective: To solve trigonometric equations for angles from 0 to 360 degrees.
41 Trigonometry part 2 Solving Trigonometric Equations – Type III
Objective: To solve trigonometric equations using tan? = sin?/cos?.
42 Trigonometry part 2 Trigonometric Sum and Difference Identities
Objective: To evaluate trig functions of angles using sum and difference identities
43 Trigonometry part 2 Double Angle Identities
Objective: To use double angle identities to evaluate trig. functions and solve trig equations
44 Trigonometry part 2 Half-angle Identities
Objective: To evaluate trig. functions of angles using half-angle identities
45 Polynomials Introduction to polynomials
Objective: To define polynomials by degree, leading term, leading coefficient, constant term and monic
46 Polynomials The Sum, Difference and Product of Two Polynomials
Objective: To add, subtract and multiply polynomials
47 Polynomials Polynomials and Long Division
Objective: To perform long division of polynomials, finding quotient and remainder
48 Polynomials The Remainder Theorem
Objective: To determine a remainder when a first polynomial is divided by a second
49 Polynomials More on Remainder Theorem
Objective: To determine polynomial coefficients given a divisor and remainder
50 Polynomials The factor theorem
Objective: To use the factor theorem to show that (x-a) is a factor of P(x)
51 Polynomials More on the factor theorem
Objective: To use the factor theorem to find algebraic variables in polynomials
52 Polynomials Complete factorisations using the factor theorem
Objective: To use the factor theorem to derive factors of a polynomial
53 Polynomials Polynomial equations
Objective: To practise solving polynomial equations
54 Polynomials Graphs of polynomials
Objective: To derive graphs of polynomials by factorising
55 Graphs part 2 The Rectangular Hyperbola
Objective: To graph rectangular hyperbolae whose equations are of the form xy = a and y = a/x
56 Function Functions and Relations: domain and range
Objective: To identify and represent functions and relations
57 Function Function Notation
Objective: To write and evaluate functions using function notation
58 Function Selecting Appropriate Domain and Range
Objective: To determine appropriate domains for functions
59 Function Domain and Range from Graphical Representations
Objective: To determine the range of a function from its graphical representation
60 Function Evaluating and Graphing Piecewise Functions
Objective: To evaluate and graph piecewise functions
61 Function Combining Functions
Objective: To determine the resultant function after functions have been combined by plus, minus, times and divide
62 Function Simplifying Composite Functions
Objective: To simplify, evaluate and determine the domain of composite functions
63 Function Inverse Functions
Objective: To find the inverse of a function and determine whether this inverse is itself a function
64 Function Graphing Rational Functions Part 1
Objective: To determine asymptotes and graph rational functions using intercepts and asymptotes
65 Function Graphing Rational Functions Part 2
Objective: To determine asymptotes and graph rational functions
66 Function Parametric Equations
Objective: To interchange parametric and Cartesian equations and to identify graphs
67 Function Polynomial Addition: in Combining and Simplifying Functions
Objective: To evaluate, simplify and graph rational functions
68 Uniform motion The Speed Formula
Objective: To calculate speed, distance or time using speed = distance/time
69 Uniform motion Using Subscripted Variables
Objective: To use subscripted variables to solve motion problems
70 Uniform motion Uniform Motion With Equal Distances
Objective: To solve motion problems where distances are equal
71 Uniform motion Uniform Motion Adding the Distances
Objective: To solve motion problems where total distance travelled is given
72 Uniform motion Uniform Motion With Unequal Distances or Time
Objective: To solve motion problems where either distance or time are different
73 Uniform motion Uniform Motion Problems Where the Rate is Constant
Objective: To solve miscellaneous motion problems where the rate is constant
74 Uniform motion Vertical Motion under gravity: Object Dropped from Rest
Objective: To calculate velocity, time and distance for vertically falling objects dropped from rest
75 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
76 Exam Exam – Grade 12 – Advanced Functions
Objective: Exam
Go to top

Grade 12 - Calculus and Vectors Mathematics

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

Grade 12 - Mathematics of Data Management Mathematics

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

Grade 12 - Mathematics of College Technology Mathematics

# TOPIC TITLE
1 Study Plan Study plan – Grade 12 – Mathematics of College Technology
Objective: On completion of the course formative assessment a tailored study plan is created identifying the lessons requiring revision.
2 Indices/Exponents Adding indices when multiplying terms with the same base
Objective: To add indices when multiplying powers that have the same base
3 Indices/Exponents Subtracting indices when dividing terms with the same base
Objective: To subtract indices when dividing powers of the same base
4 Indices/Exponents Multiplying indices when raising a power to a power
Objective: To multiply indices when raising a power to a power
5 Indices/Exponents Multiplying indices when raising to more than one term
Objective: To raise power products to a power
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 Logarithms Powers of 2
Objective: To convert between logarithm statements and indice statements
11 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
12 Logarithms Equations of type log 32 to the base x = 5
Objective: To solve Logrithmic Equation where the variable is the base x = 5
13 Logarithms Laws of Logarithms
Objective: To review the logarithm laws
14 Logarithms Using the Log Laws to Expand Logarithmic Expressions
Objective: To expand expressions using the logarithm laws
15 Logarithms Using the Log Laws to Simplify Expressions Involving Logarithms
Objective: To simplify expressions using the logarithm laws
16 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
17 Logarithms Equations Involving Logarithms
Objective: To solve equations involving logarithms using the logarithm laws
18 Logarithms Using Logarithms to Solve Equations
Objective: To use logarithms to solve exponential equations
19 Logarithms Change of Base Formula
Objective: To evaluate log expressions using logarithms
20 Logarithms The Graph of the Logarithmic Curve
Objective: To learn the properties of the logarithmic curve
21 Logarithms The Graph of the Logarithmic Curve
Objective: To solve problems involving logarithmic curves
22 Graphs part 2 The Exponential Function
Objective: To graph exponential curves whose exponents are either positive or negative
23 Graphs part 2 Logarithmic Functions
Objective: To graph and describe log curves whose equations are of the form y = log (ax + b)
24 Polynomials Introduction to polynomials
Objective: To define polynomials by degree, leading term, leading coefficient, constant term and monic
25 Polynomials The Sum, Difference and Product of Two Polynomials
Objective: To add, subtract and multiply polynomials
26 Polynomials Polynomials and Long Division
Objective: To perform long division of polynomials, finding quotient and remainder
27 Polynomials The Remainder Theorem
Objective: To determine a remainder when a first polynomial is divided by a second
28 Polynomials More on Remainder Theorem
Objective: To determine polynomial coefficients given a divisor and remainder
29 Polynomials The factor theorem
Objective: To use the factor theorem to show that (x-a) is a factor of P(x)
30 Polynomials More on the factor theorem
Objective: To use the factor theorem to find algebraic variables in polynomials
31 Polynomials Complete factorisations using the factor theorem
Objective: To use the factor theorem to derive factors of a polynomial
32 Polynomials Polynomial equations
Objective: To practise solving polynomial equations
33 Polynomials Graphs of polynomials
Objective: To derive graphs of polynomials by factorising
34 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
35 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)
36 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
37 Function Functions and Relations: domain and range
Objective: To identify and represent functions and relations
38 Function Function Notation
Objective: To write and evaluate functions using function notation
39 Function Selecting Appropriate Domain and Range
Objective: To determine appropriate domains for functions
40 Function Domain and Range from Graphical Representations
Objective: To determine the range of a function from its graphical representation
41 Function Evaluating and Graphing Piecewise Functions
Objective: To evaluate and graph piecewise functions
42 Function Combining Functions
Objective: To determine the resultant function after functions have been combined by plus, minus, times and divide
43 Function Simplifying Composite Functions
Objective: To simplify, evaluate and determine the domain of composite functions
44 Function Inverse Functions
Objective: To find the inverse of a function and determine whether this inverse is itself a function
45 Function Polynomial Addition: in Combining and Simplifying Functions
Objective: To evaluate, simplify and graph rational functions
46 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
47 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
48 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
49 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
50 Trigonometry part 1 Bearings: The Compass
Objective: To change from true bearings to compass bearings and vice versa
51 Trigonometry part 1 Angles of Elevation and Depression
Objective: To identify and distinguish between angles of depression and elevation
52 Trigonometry part 1 Trigonometric Ratios in Practical Situations
Objective: To solve problems involving bearings and angles of elevation and depression
53 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
54 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
55 Trigonometry part 1 The Sine Rule: Finding a Side
Objective: To find an unknown side of a triangle using the sine rule
56 Trigonometry part 1 The Sine Rule: Finding an Angle
Objective: To find an unknown angle of a triangle using the sine rule
57 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
58 Trigonometry part 2 Graphing the Trigonometric Ratios I: Sine Curve
Objective: To recognise the sine curve and explore shifts of phase and amplitude
59 Trigonometry part 2 Graphing the Trigonometric Ratios II: Cosine Curve
Objective: To recognise the cosine curve and explore shifts of phase and amplitude
60 Trigonometry part 2 Graphing the Trigonometric Ratios III: Tangent Curve
Objective: To recognise the tangent curve and explore shifts of phase and amplitude
61 Trigonometry part 2 Graphing the Trigonometric Ratios IV: Reciprocal Ratios
Objective: To graph the primary trigonometric functions and their inverses
62 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.
63 Trigonometry part 2 Solving Trigonometric Equations – Type I
Objective: To Solve trigonometric equations for angles from 0 to 360 degrees.
64 Trigonometry part 2 Solving Trigonometric Equations – Type II
Objective: To solve trigonometric equations for angles from 0 to 360 degrees.
65 Trigonometry part 2 Solving Trigonometric Equations – Type III
Objective: To solve trigonometric equations using tan? = sin?/cos?.
66 Matrices Vectors
Objective: To use vectors to find resultant speeds and displacements
67 Matrices – Linear systems Number of Solutions
Objective: To determine solutions to systems of equations
68 Matrices – Linear systems Vector Addition in 2 and 3D
Objective: To represent, add, subtract and determine the direction of vectors
69 Polar coordinates Polar Coordinates – Plotting and Converting
Objective: To plot polar points and convert polar coordinates to rectangular coordinates
70 Polar coordinates Converting Rectangular Coordinates to Polar Form
Objective: To convert rectangular to polar coordinates
71 Polar coordinates Graphing Polar Functions
Objective: To write the polar coordinates of a point for selected argument ranges
72 Measurement – Advanced area Area of a Trapezium
Objective: To calculate the area of trapezia using A=(h/2)(a+b)
73 Measurement – Advanced area Area of a Rhombus
Objective: To calculate the area of a rhombus using diagonal products
74 Measurement – Advanced area Area of a Circle
Objective: To calculate the area of circles and sectors and to solve circle problems
75 Measurement – Advanced area Area of Regular Polygons and Composite Figures
Objective: To calculate area of composite figures and solve problems using correct formulae
76 Measurement – Advanced volume Finding the volume of prisms
Objective: To calculate the volume of prisms using V=Ah and solve volume problems
77 Measurement – Advanced volume Volume of a Cylinder and Sphere
Objective: To solve problems and calculate volumes of cylinders and spheres and parts of each
78 Measurement – Advanced volume Volume of Pyramids and Cones
Objective: To calculate the volumes of pyramids and cones
79 Measurement – Advanced volume Composite Solids
Objective: To calculate the volume of composite figures using appropriate formulae
80 Surface area Surface Area of a Cube/Rectangular Prism
Objective: To calculate the surface area of cubes and rectangular prisms
81 Surface area Surface Area of a Triangular/Trapezoidal Prism
Objective: To calculate the surface area of triangular and trapezoidal prisms
82 Surface area Surface Area of a Cylinder and Sphere
Objective: To calculate the surface area of cylinders and spheres
83 Surface area Surface Area of Pyramids
Objective: To calculate the surface area of pyramids
84 Surface area Surface Area of Composite Solids
Objective: To calculate the surface area of composite solids
85 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.
86 Geometry part 2 Similar Triangles
Objective: To use similarity tests for triangles and determine unknown sides and angles in triangles
87 Geometry part 2 Using Similar Triangles to Calculate Lengths
Objective: To determine unknown sides and angles of similar triangles
88 Geometry part 2 Examples involving overlapping triangles
Objective: To determine the lengths of unknown sides in overlapping or adjacent similar triangles
89 Geometry part 3 The Triangle Inequality Theorem
Objective: To use the triangle inequality theorem to determine constructability of triangles
90 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
91 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
92 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
93 Circle geometry part 1 Theorem – At the point of contact a tangent is perpendicular to the radius
Objective: To know that the tangent to a circle is perpendicular to the radius drawn to it
94 Circle geometry part 1 Theorem: Tangents to a circle from an external point are equal
Objective: To know that the tangents to a circle from an external point are equal
95 Exam Exam – Grade 12 – Mathematics of College Technology
Objective: Exam
Go to top

Grade 12 - Foundations for College Mathematics Mathematics

# TOPIC TITLE
1 Study Plan Study plan – Grade 12 – Foundations for College Mathematics
Objective: On completion of the course formative assessment a tailored study plan is created identifying the lessons requiring revision.
2 Indices/Exponents Adding indices when multiplying terms with the same base
Objective: To add indices when multiplying powers that have the same base
3 Indices/Exponents Subtracting indices when dividing terms with the same base
Objective: To subtract indices when dividing powers of the same base
4 Indices/Exponents Multiplying indices when raising a power to a power
Objective: To multiply indices when raising a power to a power
5 Indices/Exponents Multiplying indices when raising to more than one term
Objective: To raise power products to a power
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 Graphs part 2 The Exponential Function
Objective: To graph exponential curves whose exponents are either positive or negative
11 Series and sequences part 2 Compound Interest
Objective: To calculate the compound interest of an investment using A=P(1+r/100)^n
12 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
13 Series and sequences part 2 Time Payments
Objective: To calculate the payments required to pay off a loan
14 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
15 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
16 Measurement – Capacity Estimate, measure and compare the capacity of containers
Objective: To understand estimation and a way to go about it
17 Measurement – Capacity Converting between volume and capacity using milliliters and liters
Objective: To solve capacity problems involving mixed dimensional units
18 Measurement – Mass The Kilogram
Objective: To recognise which of two (or more) objects has the greater mass
19 Measurement – Mass The Gram
Objective: To calculate net mass in grams and solve shopping problems involving mass
20 Measurement – Advanced area Area of a Trapezium
Objective: To calculate the area of trapezia using A=(h/2)(a+b)
21 Measurement – Advanced area Area of a Rhombus
Objective: To calculate the area of a rhombus using diagonal products
22 Measurement – Advanced area Area of a Circle
Objective: To calculate the area of circles and sectors and to solve circle problems
23 Measurement – Advanced area Area of Regular Polygons and Composite Figures
Objective: To calculate area of composite figures and solve problems using correct formulae
24 Measurement – Advanced volume Finding the volume of prisms
Objective: To calculate the volume of prisms using V=Ah and solve volume problems
25 Measurement – Advanced volume Composite Solids
Objective: To calculate the volume of composite figures using appropriate formulae
26 Surface area Surface Area of a Cube/Rectangular Prism
Objective: To calculate the surface area of cubes and rectangular prisms
27 Surface area Surface Area of a Triangular/Trapezoidal Prism
Objective: To calculate the surface area of triangular and trapezoidal prisms
28 Surface area Surface Area of a Cylinder and Sphere
Objective: To calculate the surface area of cylinders and spheres
29 Surface area Surface Area of Pyramids
Objective: To calculate the surface area of pyramids
30 Surface area Surface Area of Composite Solids
Objective: To calculate the surface area of composite solids
31 Space Measure and classify angles
Objective: To classify and measure angles and calculate angles in a triangle
32 Trigonometry part 1 Trigonometric Ratios
Objective: To name the sides of a right-angled triangle and to determine the trig ratios of an angle
33 Trigonometry part 1 Using the Calculator
Objective: To determine trigonometric ratios using a calculator
34 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
35 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
36 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
37 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
38 Trigonometry part 1 Bearings: The Compass
Objective: To change from true bearings to compass bearings and vice versa
39 Trigonometry part 1 Angles of Elevation and Depression
Objective: To identify and distinguish between angles of depression and elevation
40 Trigonometry part 1 Trigonometric Ratios in Practical Situations
Objective: To solve problems involving bearings and angles of elevation and depression
41 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
42 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
43 Trigonometry part 1 The Sine Rule: Finding a Side
Objective: To find an unknown side of a triangle using the sine rule
44 Trigonometry part 1 The Sine Rule: Finding an Angle
Objective: To find an unknown angle of a triangle using the sine rule
45 Trigonometry part 2 Angles of Any Magnitude
Objective: To assign angles to quadrants and to find trigonometric values for angles
46 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
47 Statistics part 1 Frequency distribution table
Objective: To construct a frequency distribution table for raw data and to interpret the table
48 Statistics part 1 Frequency histograms and polygons
Objective: To construct and interpret frequency histograms and polygons
49 Statistics part 1 Relative Frequency
Objective: To extend the frequency distribution table to include a relative frequency column
50 Statistics part 1 The Range
Objective: To determine the range of data in either raw form or in a frequency distribution table
51 Statistics part 1 The Mode
Objective: To find the mode from raw data and from a frequency distribution table
52 Statistics part 1 The Mean
Objective: To calculate means from raw data and from a frequency table using an fx column
53 Statistics part 1 The Median
Objective: To determine the median of a set of raw scores
54 Statistics part 1 Cumulative Frequency
Objective: To construct cumulative frequency columns, histograms and polygons
55 Statistics part 1 Calculating the Mean from a Frequency Distribution
Objective: To determine averages (mean, median and mode) from cumulative frequency polygons
56 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
57 Statistics part 2 Using the Calculator for Statistics
Objective: To find a mean, using a data set or a frequency distribution table and calculator.
58 Statistics part 2 Measures of Spread
Objective: To determine a range and use it in decision making
59 Statistics part 2 Standard deviation applications
Objective: To find a standard deviation, using a data set or a frequency distribution table and calculator
60 Statistics part 2 Measures of Spread: the interquartile range
Objective: To find the upper and lower quartiles and the interquartile range
61 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
62 Statistics part 1 The Scatter plot
Objective: To make a valid interpretation of data presented as a scatter plot
63 Exam Exam – Grade 12 – Foundations for College Mathematics
Objective: Exam
Go to top

Grade 12 - Mathematics for Work and Everyday Life Mathematics

# TOPIC TITLE
1 Study Plan Study plan – Grade 12 – Mathematics for Work and Everyday Life
Objective: On completion of the course formative assessment a tailored study plan is created identifying the lessons requiring revision.
2 Graphs – Basic Line Graphs
Objective: To read and interpret line graphs
3 Graphs – Basic Pie and Bar Graphs
Objective: To read and interpret pie and bar graphs
4 Statistics part 1 Frequency distribution table
Objective: To construct a frequency distribution table for raw data and to interpret the table
5 Statistics part 1 Frequency histograms and polygons
Objective: To construct and interpret frequency histograms and polygons
6 Decimals Using decimals – shopping problems
Objective: To read and interpret problems involving money
7 Measurement – Volume Solving Problems about Volume Part 1
Objective: To solve volume problems using same and mixed units of length
8 Measurement – Volume Solving Problems about Volume Part 2
Objective: To solve volume problems involving larger objects
9 Problem solving Word Problems with Money
Objective: To solve money word problems using + – x and /
10 Problem solving Word Problems with Length
Objective: To solve length word problems using + – x and /
11 Problem solving Word Problems with Mass
Objective: To solve mass word problems using + – x and /
12 Problem solving Word Problems with Area
Objective: To solve area word problems using + – x and /
13 Problem solving Word Problems with Volume/Capacity
Objective: To solve volume and capacity word problems using + – x and /
14 Probability Simple events
Objective: To find the probability of events using sample space and event set (E) and P(E) = n(E)/n(S)
15 Probability Rolling a pair of dice
Objective: To find the probability of selected events when two dice are rolled
16 Probability Experimental probability
Objective: To find the experimental probabilities of an experimental trial
17 Probability Experimental probability
Objective: To use tree diagrams to determine sample spaces and compound probabilities
18 Probability Tree diagrams: depending on previous outcomes
Objective: To use tree diagrams where the probability is dependent on previous outcomes
19 Probability The Complementary Result
Objective: To calculate the probability of complementary events using P(E) = 1 – P(not E)
20 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
21 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
22 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
23 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
24 Measurement – Capacity Using the cubic cm and displacement to measure volume and capacity
Objective: To find volume and capacity using displacement
25 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
26 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
27 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
28 Measurement – Capacity Estimate, measure and compare the capacity of containers
Objective: To understand estimation and a way to go about it
29 Measurement – Capacity Converting between volume and capacity using milliliters and liters
Objective: To solve capacity problems involving mixed dimensional units
30 Measurement – Mass The Kilogram
Objective: To recognise which of two (or more) objects has the greater mass
31 Measurement – Mass The Gram
Objective: To calculate net mass in grams and solve shopping problems involving mass
32 Pythagoras Pythagoras’ Theorem: Finding the Hypotenuse
Objective: To calculate the length of a hypotenuse using Pythagoras’ Theorem
33 Pythagoras Using Pythagorean Triples to Identify Right Triangles
Objective: To identify right triangles by using Pythagorean Triples or Pythagoras’ Theorem
34 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
35 Measurement – Advanced area Area of a Trapezium
Objective: To calculate the area of trapezia using A=(h/2)(a+b)
36 Measurement – Advanced area Area of a Rhombus
Objective: To calculate the area of a rhombus using diagonal products
37 Measurement – Advanced area Area of a Circle
Objective: To calculate the area of circles and sectors and to solve circle problems
38 Measurement – Advanced area Area of Regular Polygons and Composite Figures
Objective: To calculate area of composite figures and solve problems using correct formulae
39 Measurement – Advanced volume Finding the volume of prisms
Objective: To calculate the volume of prisms using V=Ah and solve volume problems
40 Measurement – Advanced volume Composite Solids
Objective: To calculate the volume of composite figures using appropriate formulae
41 Surface area Surface Area of a Cube/Rectangular Prism
Objective: To calculate the surface area of cubes and rectangular prisms
42 Surface area Surface Area of a Triangular/Trapezoidal Prism
Objective: To calculate the surface area of triangular and trapezoidal prisms
43 Surface area Surface Area of a Cylinder and Sphere
Objective: To calculate the surface area of cylinders and spheres
44 Surface area Surface Area of Pyramids
Objective: To calculate the surface area of pyramids
45 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.
46 Space Measure and classify angles
Objective: To classify and measure angles and calculate angles in a triangle
47 Exam Exam – Grade 12 – Mathematics for Work and Everyday Life
Objective: Exam
Go to top

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.
Go to top

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.
Go to top

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.
Go to top

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.
Go to top

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.
Go to top

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.
Go to top

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.
Go to top

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.
Go to top

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.
Go to top