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Mathematics

07 Mathematics

Lessons

001. Historical Number Systems

002. Place Value and Comparing Numbers

003. Mental Strategies and Laws for Addition and Subtraction

004. Written Algorithms for Addition and Subtraction

005. Multiplication Laws and Algorithms

006. Multiplying by Powers of Ten and Algorithms

007. Division with Remainders and Short Division

008. Rounding and Estimation Strategies

009. Order of Operations in Arithmetic

010r. Factors and Multiples

011. Highest Common Factor (HCF) and Lowest Common Multiple (LCM)

012e. Divisibility Rules and Division Vocabulary

013. Prime Numbers and Prime Factorisation

014. Powers and Index Notation

015. Prime Factorisation Using Factor Trees

016. Squares, Roots and Perfect Squares

017r. Number Patterns with Difference and Ratio

018. Spatial Patterns and Rules

019. Rules and Input-Output Tables

020. Coordinates on the Number Plane

021. Representing Fractions

022. Equivalent Fractions and Simplifying them

023. Improper Fractions and Mixed Numerals

024. Ordering Fractions

025. Adding Fractions and Mixed Numerals

026. Subtracting Fractions and Mixed Numerals

027. Multiplying Fractions, Mixed Numerals and Whole Numbers

028. Dividing Fractions Using Reciprocals

029. Fractions and Percentages

030. Finding Percentages of Quantities

031. Introducing Ratios and Simplifying

032. Ratios, Fractions and Proportions

033. Algebra Terminology and Expressions

034. Substituting into Algebraic Expressions

035. Equivalent Expressions and Algebraic Generalisation

036. Like Terms and Simplifying Expressions

037. Multiplication and Division in Algebraic Expressions

038e. Expanding Brackets

039. Algebraic Modelling with Expressions

040. Decimals and Place Value

041. Rounding Decimal Numbers

042. Adding and Subtracting Decimals

043. Multiplying and Dividing Decimals by Powers of Ten

044. Multiplying Decimals

045. Dividing Decimals

046. Decimals, Fractions and Recurring Decimals

047. Percentages and Decimals

048. Comparing Proportions

049. Integers on the Number Line

050. Adding and Subtracting Integers on a Number Line

051. Adding and Subtracting Negative Integers

052e. Multiplying and Dividing Integers

053e. Order of Operations with Integers

054e. Substituting Integers into Expressions

055. Cartesian Plane

057. Angle Relationships and Angle Sums

059. Angles with Parallel Lines and a Transversal

060. Finding Missing Angles in Diagrams

061. Classifying and Constructing Triangles

062. Polygons and Quadrilaterals

063. Interior and Exterior Angles of Triangles and Polygons

064. Line and Rotational Symmetry

056r. Review Geometry Terms and Measuring Angles

065. Translations of Shapes and Points

066. Drawing 3D Solids Accurately

067. Nets and Platonic Solids

068. Data Types and Data Collection

069. Summarising Numerical Data

070. Line Graphs and Travel Graphs

071. Stem-and-Leaf Plots

072e. Pie Charts and Divided Bar Graphs

073r. Describing the Likelihood of Events

074. Probability Language and Simple Events

075. Experimental Probability and Expected Frequency

076. Equations and Expressions

077. Solving Equations by Inspection

078. Equivalent Equations

079. Solving Equations with Opposite Operations

080e. Solving Equations Involving Fractions

081e. Expanding Brackets and Simplifying Expressions

082. Using Formulas by Substitution and Solving

083. Solving Real-World Problems with Equations

084r. Metric Length and Reading Rulers

085. Perimeter of 2D Shapes

086e. Radius, Diameter and Circumference of Circles

087e. Arc Length and Sector Perimeter

088. Area of Rectangles and Metric Area Units

089. Area of Parallelograms

090. Area of Triangles

091e. Area of Composite Shapes

092. Volume of Rectangular Prisms

093. Volume of Triangular Prisms

094r. Capacity and Volume Conversions

Units

2026 7 Maths Unit 1.1 Number and Arithmetic

2026 7 Maths Unit 1.2 Modelling with finance

2026 7 Maths Unit 2.1 Measurement

2026 7 Maths Unit 2.2 Geometry Algorithms

2026 7 Maths Unit 3.1 Linear Relations

2026 7 Maths Unit 3.2 Transformations in Geometry

2026 7 Maths Unit 4.1 Probability

2026 7 Maths Unit 4.2 Statistics

08 Mathematics

Lessons

095r. Reviewing Mental and Written Strategies for Addition and Subtraction

096r. Reviewing Multiplication and Division Strategies

097r. Reviewing Factors, Multiples and Powers

098. Prime Factors and Divisibility Tests

099r. Reviewing Integers and Integer Operations

100. Multiplying and Dividing Integers

101. Order of Operations and Substitution

102r. Review Classifying and Relating Angles

103r. Review Angles in Parallel Lines

104r. Reviewing Classifying Triangles and Finding Angles

105. Quadrilaterals and Their Angle Properties

106e. Polygons and Angle Sums

107e. Naming Solids and Using Euler’s Rule

108. Coordinates in Three-Dimensional Space

109r. Equivalent Fractions and Simplifying Fractions

110r. Operations with Fractions and Mixed Numerals

111. Operations with Negative Fractions

112r. Review Decimals, Place Value and Conversions

113r. Review Operations with Decimals

114. Recurring Decimals and Rounding

115r. Review Percentages and Percentage Calculations

116. Percentage Change

117. Percentage Change, Profit, Loss and Error

118e. The Unitary Method with Percentages

119r. Review Perimeter and Metric Length Units

120r. Review Circles and Circumference

121r. Review Area of Shapes and Composite Figures

122. Area of Special Quadrilaterals

123. Area of Circles and Parts of Circles

124e. Sectors and Composite Areas

125e. Nets and Surface Area of Prisms

126. Volume and Capacity of Rectangular Prisms

127. Volume of Prisms and Cylinders

128. Time Units, Time Formats and Time Zones

129. Right-Angled Triangles, Hypotenuse and Pythagorean Triples

130. Pythagoras and Finding the Hypotenuse

131. Pythagoras and Finding a Shorter Side

132r. Review Algebra Terms and Expressions

133r. Review Evaluating and Comparing Algebraic Expressions

134r. Review Like Terms and Simplifying Expressions

135r. Review Multiplying and Dividing Terms

136e. Intro to Algebraic Fractions and Common Denominators

137e. Multiplying and Dividing Algebraic Fractions

138. Expanding Brackets and Simplifying Expressions

139. Factorising Expressions

140. Modelling Situations with Algebra

141. Indices and Index Laws

142. Zero Indices and Powers of Powers

143. Equivalent and Simplified Ratios

144. Dividing Quantities in a Ratio

145. Scale Drawings and Real Distances

146. Understanding and Using Rates

147. Modelling and Solving Rate Problems

148. Speed, Distance and Time

149e. Unitary Method for Ratios and Rates

150r. Review Equations, Solutions and Inspection

151r. Reviewing Equivalent Equations and Solving Algebraically

152. Solving Equations with Algebraic Fractions

153. Solving Equations with Pronumerals on Both Sides

154. Solving Equations by Expanding Brackets

155e. Solving Simple Quadratic Equations

157. Solving Real-World Problems with Equations

158. Understanding and Representing Inequalities

Units

2026 8 Maths Unit 1.1 Arithmetic and Number

2026 8 Maths Unit 1.2 Financial Modelling

2026 8 Maths Unit 2.1 Measurement

2026 8 Maths Unit 2.2 Algorithms in Geometry

2026 8 Maths Unit 3.1 Linear Modelling

2026 8 Maths Unit 3.2 Proofs in Geometry

2026 8 Maths Unit 4.1 Probability

2026 8 Maths Unit 4.2 Statistics

09 Mathematics

10 Mathematics

Junior Secondary Mathematics

Senior Secondary Mathematics

Templates

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Content Descriptors

Jargon

Cartesian Plane

Imaginary Number

Linear Equation

Pythagoras' Theorem

Regular Polygon

Vertically Opposite

Scripts

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Verbs

160r. Review Interpreting Data Displays

165. Two-Step Probability Experiments

166. Tree Diagrams for Multi-Step Probability

167. Two-Way Tables and Venn Diagrams

AC9 Mathematics Glossary

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10 Maths

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Junior Secondary Mathematics