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Expand All
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  Year 7 & 8
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Numeracy & Arithmetic
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 Number Skills
Speed Skills
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Number Theory I
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Place Value: Write The Numeral
Write The Place Value
Expanded Notation Using 10, 100, etc.
Expanded Notation Using Powers
Expanded Notation As A Numeral
Order Of Operations I
Order Of Operations II
Number Properties
Roman Numerals As Our Numerals
Our Numerals As Roman Numerals
Rounding Off
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Number Theory II
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Primes & Composites
HCF By Inspection
Multiples
LCM By Inspection
Factor Trees: Creating
Factor Trees: Finding HCF
Factor Trees: Finding LCM
The Square Root
The Cube Root
Average I
Average II
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Fractions
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Equivalent Fractions
Simplifying Fractions
Mixed Numerals To Improper Fractions
Improper Fractions To Mixed Numerals
Addition: Equal Denominators
Subtraction: Equal Denominators
Addition: Different Denominators
Subtraction: Different Denominators
Addition: Mixed Numerals
Subtraction: Mixed Numerals
Multiplication
Division
Multiplication & Division: Mixed Numerals
Quantities As Fractions Of Others
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Decimels
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Introduction To Decimals
Comparing Size
Addition
Subtraction
Multiplication
Multiplication & Division By 10, 100, etc.
Division By A Whole Number
Division By A Decimal
Converting Fractions To Decimals I
Converting Fractions To Decimals II
Rounding Off Decimals
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Percentages
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Percentages As Fractions
Percentages As Decimals
Fractions & Decimals As %age
Percentages Of Quantities
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Statistics & Probability
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Range & Mode
Median
Mean
Frequency Distribution Tables
Finding The Mean From a Table
Finding The Median From A Table
Frequency Histograms & Polygons
Probability Basics
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Graphs
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Bar Graphs
Column Graphs
Line Graphs
Picture Graphs
Pie Graphs
Step Graphs
Travel Graphs
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Directed Number
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Understanding Directed Numbers
Ordering Directed Numbers
Using The Number Line
Addition & Subtraction
Multiplication
Division
Order of Operations
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The Number Plane
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Plotting Points
Identifying Plotted Points
Straight Line Graphs Using Tables
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Algebra I
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Substitution I
Substitution II
Completing Number Patterns I
Completing Number Patterns II
Number Patterns: Work Out The Rule I
Number Patterns: Work Out The Rule II
Number Patterns: Using Powers
Algebraic Expressions: Like Terms
Algebraic Expressions: Addition & Subtraction
Algebraic Expressions: Collecting Like Terms
Algebraic Expressions: Multiplication
Algebraic Expressions: Division
Applications Of Algebra
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Problem Solving
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Simpler Number Problems
The Unitary Method
Guess & Check
Using A Diagram
Making A List
Looking For Patterns
Solving A Simpler Problem First
Working Backwards
Acting It Out
Eliminating Possibilities
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Measurement
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Length: Conversions I
Length: Conversions II
Use Of A Ruler
Perimeter: Quadrilaterals
Perimeter: Composite Shapes
Time Conversions
Time Differences
24 Hour Time
Mass
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Area
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Rectangles & Squares
Triangles I
Triangles II
Composite Shapes
Further Composite Shapes
Parallelograms
Rhombus & Kite
Trapeziums
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Volume
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Prisms
Composite Prisms
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The Circle
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The Parts Of A Circle
Circumference
Perimeter Of A Sector
Area
Area Of A Sector
Volume Of A Cylinder
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Algebra II
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Indices I
Indices II
Indices III
Grouping Symbols I
Grouping Symbols II
Grouping Symbols III
Grouping Symbols IV
Grouping Symbols V
Algebraic Fractions: Multiplication
Algebraic Fractions: Division
Algebraic Fractions: Addition & Subtraction
Factorisation By A Common Factor
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Equations
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Understanding Equations
One-Step Involving Addition & Subtraction
One-Step Involving Division
One-Step Involving Multiplication
Two-Step
Pro-numeral On Both Sides
Brackets: One Side Only
Brackets: On Both Sides
Brackets: Expand & Collect Like Terms
Fractional: Single-Term Denominator
Fractional Different Denominators I
Fractional: Different Denominators lI
Fractional: Harder Type
After Substitution
Inequations: One-Step & Graph
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The Calculator & Percentages
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Calculating Basics
Harder Fractional Calculations
Square Root & Square Keys
Percentages As Fractions
Percentages As Decimals
Fractions & Decimals As %ages
Quantities As %ages Of Others
Percentages Of Quantities
Increasing By A Percentage
Decreasing By A Percentage
The Unitary Method
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Shapes
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The Axis Of Symmetry
Transformations: Reflections
Transformations: Translations
Transformations: Rotations
Transformations: Rotational Symmetry
Solid Shapes
Nets Of Solid Shapes
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Geometry
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Angle Rules
Angles On A Straight Line
Vertically-Opposite Angles / Angles At A Point
Parallel Lines
Angle Sum Of A Triangle
Angle Sum Of A Polygon
Mixed Examples On Angles
Exterior Angle Of A Triangle
Special Triangles
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Constructions
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Bisecting A Line
Bisecting An Angle
Constructing Angles I
Constructing Angles II
Perpendicular Lines
Polygons
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Ratios
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Simplifying I
Simplifying II
Short Stories
Equivalent Ratios
Problem Questions
Dividing Quantities In A Given Ratio
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Rates
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Simplifying
Problems I
Problems II
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Pythagoras’ Theorem
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Finding The Hypotenuse I
Finding The Hypotenuse II
Finding A Shorter Side
Composite Shapes: Hypotenuse
Composite Shapes: Shorter Side
Problem Questions
Pythagorean Triads
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Percentage Applications
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Simple Interest
Discounts
Profit & Loss
Commission
Profit & Loss
Commission
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Year 9 & 10
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Indices
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Rules: Multiplying Terms
Rules: Dividing Terms
Rules: Raising Powers
Rules: Zero Index
Rules: Mixed Examples
Negative Indices
Fractional Indices
Scientific Notation: Convert To
Scientific Notation: Write As A Number
Scientific Notation: Using A Calculator
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Products
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Binomial Expansions I
Binomial Expansions II
Special Products: Perfect Squares
Special Products: Difference Of
Mixed Example
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Factors
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Common Factor
Quadratics: Monic I
Quadratics: Monic II
Quadratics: Monic III
Quadratics: Non-Monic I
Quadratics: Non-Monic II
Difference Of 2 Squares I
Difference Of 2 Squares II
Grouping In Pairs I
Grouping In Pairs II
Grouping In Pairs III
Mixed Exercise
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Algebra
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Generalised Arithmetic: Simpler Expressions
Generalised Arithmetic: Problems
Algebraic Fractions: Simplifying I
Algebraic Fractions: Simplifying II
Algebraic Fractions: Multiplication I
Algebraic Fractions: Multiplication II
Algebraic Fractions: Division I
Algebraic Fractions: Division II
Algebraic Fractions: Add/Sub I
Algebraic Fractions: Add/Sub II
Algebraic Fractions: Add/Sub III
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Equations & Inequations
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Equations With Fractions: Unknown Denominator
Equations With Fractions: Unknown In
Equations With Fractions: Unknown In
Inequations: Two-Step
Inequations: Fractional
Changing The Subject I
Changing The Subject II
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Linear Functions
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Graphing Straight Lines Using X & Y-Intercepts
The Equation Of A Straight Line
Find Equation Given The Diagram
Horizontal And Vertical Lines
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Poly-nomials
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Multiplication
Division
Remainder Theorem
Factor Theorem
Graphing Polynomials
Problems
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Geometry I
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Reasoning In Geometry I
Reasoning In Geometry II
Special Triangles
Exterior Angle Of Triangles
Exterior Angles Of Polygons
Compass Bearings
Three-Figure Bearings
Bearings And Angles I
Bearings And Angles II
Geometry Proofs
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Trigonometry
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The Trigonometric Ratios
Finding A Side Using Sine I
Finding A Side Using Cosine I
Finding A Side Using Tangent I
Finding A Side Using Sine II
Finding A Side Using Cosine II
Finding A Side Using Tangent II
Using All Ratios To Find Sides
Finding Angles Using Sine
Finding Angles Using Cosine
Finding Angles Using Tangent
Using All Ratios To Find Angles
Angles Of Elevation & Depression
Compass Questions: Distances
Compass Questions: Bearings
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Logarithms
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Definition & Change Of Base
Solving Logarithmic Equations I
Solving Logarithmic Equations II
Solving Logarithmic Equations III
Solving Logarithmic Equations IV
Logarithm Rules I
Logarithm Rules II
Logarithm Rules & Equations I
Logarithm Rules & Equations II
Logarithm Rules & Equations III
Graphs
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Consumer Arithmetic
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Wages & Salaries
Commission & Piecework
Overtime
Holiday Loadings
Taxation
Best Buys
Buying On Terms
Discounts
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Statistics
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Stem & Leaf Plots: Analysing
Stem & Leaf Plots: Constructing
Cumulative Frequency Graphs
Cumulative Frequency Graphs: Median &
Standard Deviation
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Probability
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Probability Basics
Experimental Probability
Making A List
Tree Diagrams
Product & Addition Rules
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Surds
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Simplification I
Simplification II
Multiplication
Division
Addition & Subtraction
Mixed Examples
Binomial Products
Special Products I
Special Products II
Rationalise The Denominator I
Rationalise The Denominator II
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Geometry II
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Tests For Congruent Triangles I
Tests For Congruent Triangles II
Proofs: Using AAS
Proofs: Using SAS
Proofs: Using RHS
Proofs: Using SSS
Deductions Using Congruent Triangles I
Deductions Using Congruent Triangles II
Deductions Using Congruent Triangles III
Similar Figures I
Similar Figures II
Similar Triangles I
Similar Triangles II
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Similar Figures: Area & Volume
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Finding The Area Given Dimensions
Finding The Dimension Given Areas
Problem Solving
Finding The Volume Given Dimensions
Finding The Dimension Given Volume
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Coordinate Geometry I
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Distance Between Points
The Distance Formula
Midpoint
Gradient
The Gradient Formula
General Form Of A Straight Line
The Point-Gradient Formula
Using Two Points To Find Equation
Testing Points On A Line
Parallel/Perpendicular Lines: Tests
Parallel/Perpendicular Lines: Equation I
Parallel/Perpendicular Lines: Equation II
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Graphs
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The Parabola: Axis Of Symmetry & Vertex
Sketching Parabolas
Hyperbola, Cubic & Exponential Graphs
Circles: Centre At Origin
Circles: Centre At (a, b)
Circles: Centre On An Axis
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Quadratic Equations
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Factored Equations
Unfactored Equations I
Unfactored Equations II
Quadratic Formula I
Quadratic Formula II
Quadratic Formula III
Problem Solving
Problem Solving Using Graphs
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Further Trigonometry
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The Sine Rule: Finding A Side
The Sine Rule: Finding An Angle
The Cosine Rule: Finding A Side
The Cos Rule: Finding An Angle I
The Cos Rule Finding An Angle II
Area Of A Triangle I
Area Of A Triangle II
Three-Dimensional Problems I
Three-Dimensional Problems II
Compass Questions
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Rates & Variation
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Calculating Distance
Calculating Time
Calculating Speed
Converting Rates
Problem Solving Using Rates
Direct Variation
Inverse Variation
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Simultaneous Equations
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Elimination Method I
Elimination Method II
Elimination Method III
Substitution Method I
Substitution Method II
Substitution Method III
Problem Solving
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Coordinate Geometry II
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Proving Results
Identifying Regions
Graphing Regions
Intersecting Regions I
Intersecting Regions II
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Volume & Surface Area
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Volume Of A Pyramid
Volume Of A Cone I
Volume Of A Cone II
Volume Of A Sphere
Capacity
Surface Area: Cubes & Rectangular Prisms
Surface Area: Triangular Prisms
Surface Area: Cylinders
Surface Area: Pyramids
Surface Area: Spheres
Surface Area: Cones
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Consumer Arithmetic II
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Discounts
Profits/Losses
Commission
Simple Interest
Loans
Compound Interest
Depreciation
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Year 11 & 12 General
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Basic Arithmetic & The Calculator
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Order Of Operations I
Order Of Operations II
Order Of Operations: Directed Numbers
Calculating Basics
Harder Fractional Calculations
Square Root & Square Keys
Rounding Off Decimals
Scientific Notation: Convert To
Scientific Notation: Write As A Number
Scientific Notation: Using A Calc
Significant Figures
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Percentages
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Percentages As Fractions
Percentages As Decimals
Fractions & Decimals As Percentages
Quantities As Percentages Of Others
Percentages Of Quantities
Increase By A Percentage
Decrease By A Percentage
Percentage Summary
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Algebra
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Algebraic Expressions: Add/Sub I
Algebraic Expressions: Add/Sub II
Algebraic Expressions: Multiplication
Multiplying Terms: Index Rules
Algebraic Expressions: Division
Dividing Terms: Index Rules
Applications Of Algebra
Substitution I
Substitution II
Grouping Symbols I
Grouping Symbols II
Grouping Symbols III
Grouping Symbols IV
Grouping Symbols V
Modeling: Generalised Arithmetic I
Modeling: Generalised Arithmetic II
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Equations
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Two Step
Pro-numeral on both sides
Brackets: One Side Only
Brackets: On Both Sides
Brackets: Expand & Collect like terms
Fractional: Single-Term Denominator
Fractional: Different Denominators I
Fractional: Different Denominators II
Fractional: Harder Type
After Substitution
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Linear Modelling
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Using Tables to Graph Lines
Graphing Straight Lines using X & Y Intercepts
Distance between Points
Gradient
The Equation of a Straight Line
Finding The Equation Given The Diagram
Horizontal & Vertical Lines
Step Graphs
Travel Graphs
Lines of Best Fit: By Eye
Linear Modeling
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Financial Mathematics I
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Wages & Salaries
Commission and Piecework
Overtime
Holiday Loadings
Budgeting
Best Buys
Buying on Terms
Discounts
Present Value & Future Value
Inflation
Taxation
Calculating GST and VAT
Simple Interest
Compound Interest
Loans & Interest
Shares
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Units of Measure
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Length: Conversions I
Length: Conversions II
Time Conversions
Time Differences
24 Hour Time
Mass
Error in Measurement
Working with Square & Cubic Units
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Pythagoras’ Theorem
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Finding the Hypotenuse
Finding the Shorter Side
Composite Shapes: Hypotenuse
Composite Shapes: Shorter Side
Problem Questions
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Measurement Calculations I
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Perimeter: Quadrilaterals
Perimeter: Composite Shapes
Circumference
Perimeter of a Sector
Rectangles & Squares
Triangles
Parallelograms
Rhombus and Kites
Trapeziums
Area of a Circle
Volume of Prisms
Volume of Pyramids
Volume of a Cylinder
Volume of a Cone
Volume of a Sphere
Capacity
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Ratios & Rates
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Simplifying I
Simplifying II
Short Stories
Equivalent Ratios
Problem Questions
Dividing Quantities In A Given Ratio
Simplifying Rates
Rate Problems I
Rate Problems II
Calculating Distance
Calculating Time
Calculating Speed
Converting Rates
Direct Variation
The Unitary Method
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Trigonometry I
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The Trigonometric Ratios
Finding A Side Using Sine I
Finding A Side Using Cosine I
Finding A Side Using Tangent I
Finding A Side Using Sine II
Finding A Side Using Cosine II
Finding A Side Using Tangent II
Using All Ratios To Find Sides
Finding Angles: Using Sine
Finding Angles: Using Cosine
Finding Angles: Using Tangent
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Applied Measurement I
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Traverse Surveys
Calculating Areas
Calculating Boundary Lengths
Angles of Elevation & Depression
Compass Bearings
Three Figure Bearings
Compass Questions: Distances
Compass Questions: Bearings
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Data Analysis I
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Data Types
Sampling
Estimating Populations
Range & Mode
Median
Mean
Frequency Distribution Tables
Finding the Mean from a Table
Finding the Median from a Table
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Display Data
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Divided Bar Graphs
Column Graphs
Line Graphs
Pictograms
Sector Graphs
Frequency Histograms & Polygons
Cumulative Frequency Graphs
Cumulative Frequency Graphs: Median &
Radar Charts
Stem and Leaf Plots: Analysing
Stem & Leaf Plots: Constructing
Box and Whisker Plots
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Probability I
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Probability Basics
Experimental Probability
Making A List
Tree Diagrams
Product & Addition Rules
Probability Basics
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Shapes & Similarity
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Solid Shapes
Nets of Solid Shapes
Perspective Drawing
Similar Figures I
Similar Figures II
Similar Triangles
Using Scale
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Algebraic Modelling
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Developing a Model from a Description
Changing the Subject I
Changing the Subject II
Equations with Squares & Cubes
Inverse Variation
Factorisation by a Common Factor
Equation of a Line: Using a point & Gradient
Equation of a Line: Using Two Points
Testing Points on a Line
Tests for Parallel & Perpendicular Lines
Lines of Best Fit: Three Median Method
Break Even Analysis
Drawing Quadratic Functions
Hyperbola, Cubic & Exponential Graphs
Using Quadratic Graphs
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Measurement Calculations II
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Area of Composite Shapes
Further Area of Composite Shapes
Area of a Sector
Area of Annulus & Ellipse
Volume of Composite Prisms
Surface Area: Cubes & Rectangular Prisms
Surface Area: Triangular Prisms
Surface Area: Cylinders
Surface Area: Pyramids
Surface Area: Spheres
Simpson’s Rule
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Trigonometry II
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The Sine Rule: Finding a Side
The Sine Rule: Finding an Angle
The Cosine Rule: Finding a Side
The Cosine Rule: Finding a Angle I
The Cosine Rule: Finding a Angle II
Area of a Triangle I
Area of a Triangle II
Three Dimensional Problems I
Three Dimensional Problems II
Bearings & Angles I
Bearings & Angles II
Compass Questions & Non Right
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Applied Measurement II
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Compass & Radial Surveys
Scale Drawings
World Time Differences
Distance on Earth’s Surface
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Data Analysis II
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Skewness
Standard Deviation
Z Scores: Calculating & Scaling
Z Scores: Comparing Data
Comparative Displays
Scatterplots & Trends
Correlation
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Probability II
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Ordered Selections
Unordered Selections
Expected Outcomes & Financial Returns
Two Way Tables
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Financial Mathematics II
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Credit Cards
Insurance Tables
Term Deposits
Insurance Premiums
Interpreting graphs
Annuities: Future Value
Annuities: Present Value
Depreciation Methods
Depreciation & Tax
Reducing Balance Loans
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Year 11 & 12 Advanced
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Basic Arithmetic & Algebra
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Calculator Work
Percentages
Recurring Decimals
Surds
Simplifying Algebraic Expressions
Factorisation
Multiplication & Division Of Algebraic Fractions
Addition & Subtraction Of Algebraic Functions
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Equations
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Linear Equations & Inequations
Absolute Value Equations & Inequations
Equations After Substitution
Quadratic Equations
Solving Problems Using Quadratic Equations
Quadratic Inequations
Simultaneous Equations
Solving Problems Using Simultaneous Equations
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Plane Geometry
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Review Of Earlier Work
Numerical Examples
Setting Out Proofs
Isosceles Triangles
Congruent Triangles
Similar Triangles
Special Quadrilaterals
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Functions
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Introducing Functions
Odd & Even Functions
Domain & Range
Absolute Value Graphs
Regions Of The Number Plane
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Trigonometry
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Right Angled Triangles & Pythagoras' Theorem
Angles Of Elevation & Depression
Exact Trigonometric Ratios
Trigonometric Identities
Trigonometric Equations
Sine Rule
Cosine Rule
Area Of A Triangle
Compass Bearings
Problems Involving Trigonometry
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Coordinate Geometry
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Midpoint, Distance, Gradient Review
Mixed Examples I
Perpendicular Distance
Point-Gradient Formula
Mixed Examples II
HSC Type Questions
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Quadratic Functions & the Porabola
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Axis Of Symmetry && Vertex
The Discriminant
Sum & Product Of Roots
Quadratic Identities
Equations Reducible To Quadratics
Locus
The Parabola: Vertex, Focus & Directrix
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Introductory Calculus
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Limits
Differentiation By First Principles
Differentiation Laws
Differentiation Methods
Further Differentiation
Tangents & Normals
Limits
Differentiation By First Principles
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Geometrical Applications of Calculus
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Stationary Points
Inflexion Points
Curve Sketching
Graphs & Their Derivatives
Maxima & Minima Problems
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Probability
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Using Lists & Venn Diagrams
Tree Diagrams
Raffle-Type Questions
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Series & Their Applications
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Arithmetic Progressions
Geometric Progressions
Sigma Notation
Mixed Problems
Compound Interest
Superannuation
Time Payment
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Integration
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Integration
Further Integration
Equation Of A Curve Given Its Derivative
Areas Enclosed By The X-Axis
Simpson's Rule & Trapezoidal Rule
Areas Enclosed By The
Area Between Curves
Miscellaneous Integration
Volumes Of Revolution
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Logarithmic & Exponential Functions
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Logarithmic Rules & Logarithmic Equations
Exponential Equations
Differentiation
Integration
Miscellaneous Integration
Area Between Curves
Curve Sketching
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Trignometric Functions
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Radian Measure & Solving Trigonometric
Trigonometric Differentiation
Integrating Trigonometric
Sectors & Segments
Small Angle Results
Sketching Trigonometric
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Calculus & The Physical World
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Distance, Velocity & Acceleration
Motion Involving Trigonometric Functions
Rates
Growth & Decay
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Year 11 & 12 Extension
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Extension to 2 Unit Topics
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Further Inequations & Equations reducible to Quadratics
Mathematical Induction: Series
Mathematical Induction: Divisibility & Inequations
Three Dimensional Trigonometry
Ratio Formulae For Dividing Intervals
The Angle Between Two Curves
Further Limits
Further Curve Sketching I
Further Curve Sketching II
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The Binomial Theorem
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Binomial Expansions
The general Term Of An Expansion
Comparing Terms
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Circle Geometry
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Definitions & Terms Used
Angles In Circles
Chord Properties
Angles In A Segment Of A Circle
Cyclic Quadrilaterals
Tangents To Circles I
Tangents To Circles II
Angle In The Alternate Segment
Further Chord & Secant Properties
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Integration By Substitution
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Integration By Substitution
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Polynomials
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Multiplication
Division
Remainder Theorem
Factor theorem
Graphing Polynomials
Problems
Roots & Zeros
Approximations Of Roots I: Halving The Interval
Approximations Of Roots I: Newton’s Method
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Probability
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Permutations
Combinations
Further Permutations & Combinations
Binomial Probabilities
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Trigonometry
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Sums & Differences OF Angles Results
Double Angle Results
Using “t” Formulae
Solving Trigonometric Equations
Solving Equations Using The “t” Method
Solving Equations Using The Auxiliary Angle
Derivatives Of Secx, CoSecx & Cotx
Integrating Squares Of Sinx & Cosx
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The Parabola As A Locus
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Parametric Equations To Cartesian Equations
Tangents & Normals To The Parabola
Equations Of Chords
Theoretical Exercises On The Parabola
Locus Problems I
Locus Problems II
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Physical Applications Of Calculus
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Further Growth & Decay
Further Rates
Motion I
Motion II
Projectile Motion In Two Dimensions
Simple Harmonic Motion I
Simple Harmonic Motion II
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Inverse Trigonometric Functions
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Inverse Functions
Evaluating Inverse Trigonometric Functions
Sketching
Differentiation
Integration Involving Inverse Trigonometric Functions
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