Table of Contents
 1 • Working with Integers
 2 • Collecting, Interpreting and Representing Data

3 • Analysing Data
 Best Measure of Central Tendency
 Mean, Median, and Mode
 Comparing Two Distributions Using Box Plots
 Comparing Data
 BoxandWhisker Plots
 Grouped Frequency Tables
 Grouped Frequency Tables: Estimating the Mean
 Grouped Frequency Tables: Estimating the Median
 Grouped Frequency Tables: Estimating the Mode and Identifying the Modal Class
 Quartiles of a Data Set
 Interquartile Range
 Comparing Data Sets Using the Mean and Range
 Scatter Plots and Lines of Best Fit
 Scattergraphs
 4 • Properties of Integers
 5 • Working with Fractions
 6 • Working with Decimals

7 • Basic Algebra
 Simplifying Expressions: Rules of Exponents
 The Language of Algebra
 Simplifying Expressions: Combining Like Terms
 Simplifying Expressions: Commutative and Associative Properties
 Rewriting Expressions Using the Distributive Property
 Greatest Common Factor of Monomials
 Factorization Using the Highest Common Factor
 Multistep Equations
 8 • Properties of Polygons and 3D Objects
 9 • Angles
 10 • Perimeter
 11 • Area
 12 • Rounding and Estimation
 13 • Percentages
 14 • Powers and Roots
 15 • Standard Form

16 • Further Algebra
 Multiplying Binomials
 Squaring Binomials
 Expanding an Expression to a Difference of Two Squares
 Factoring Monic Quadratics
 Factoring Nonmonic Quadratics
 Difference of Two Squares
 Completing the Square
 Multiplying and Dividing Rational Expressions
 Rational Equations
 Adding and Subtracting Algebraic Fractions
 Simplifying Algebraic Fractions

17 • Equations
 TwoStep Equations
 Linear Equations with Variables on Both Sides
 Solving Equations with Rational Numbers
 Solving Quadratic Equations: Taking Square Roots
 Solving Quadratic Equations: Quadratic Formula
 Solving Quadratics: Completing the Square
 Solving Quadratic Equations: Factoring
 Solving Systems of Linear Equations Using Elimination
 Solving Systems of Linear Equations Using Substitution
 Applications on Systems of Linear Equations
 LinearQuadratic Systems of Equations
 Solving Systems of Linear Equations Graphically
 Solving Systems of Nonlinear Equations Graphically
 Solving Quadratic Equations Iteratively
 Solving Cubic Equations Iteratively
 18 • Functions and Sequences
 19 • Surds
 20 • Basic Probability
 21 • 3D Objects
 22 • Units and Measurement
 23 • Formulae

24 • Volume and Surface Area
 Volumes of Cylinders
 Volumes of Rectangular Prisms and Cubes
 Surface Areas of Cylinders
 Volumes of Triangular Prisms
 Volumes of Composite Solids
 Surface Areas of Rectangular Prism and Cubes
 Surface Areas of Prisms
 Volumes of Spheres
 Volumes of Cones
 Surface Areas of Composite Solids
 Surface Areas of Spheres
 Surface Areas of Cones
 Volumes of Pyramids
 Surface Areas of Pyramids

25 • Further Probability
 Tree Diagrams
 Expressing a Set
 Sets and Venn Diagrams
 Union of Sets Using Venn Diagrams
 Calculating Probability Using Venn Diagrams
 Compound Events
 Experimental Probability
 Prediction Using Probability
 Theoretical Probability
 Conditional Probability: Tree Diagrams
 Conditional Probability: TwoWay Tables
 Dependent Events
 Independent Events
 Conditional Probability
 26 • Inequalities
 27 • Ratio
 28 • Proportion

29 • Graphs of Linear Functions
 Equations of Vertical and Horizontal Lines
 Linear Functions in Different Forms
 Slope of a Line through Two Points
 Equation of a Straight Line: Slope–Intercept Form
 Slopes and Intercepts of Linear Functions
 Slopes of Parallel and Perpendicular Lines
 Equations of Parallel and Perpendicular Lines
 Applications of Linear Functions
 Linear Relationships
 30 • Interpreting Graphs
 31 • Circles
 32 • Vector Geometry
 33 • Transformations in a Plane
 34 • Construction and Loci
 35 • Similarity
 36 • Congruence
 37 • Pythagoras’ Theorem

38 • Trigonometry
 Right Triangle Trigonometry: Solve for a Side
 Right Triangle Trigonometry: Solve for an Angle
 Trigonometric Ratios of Special Triangles
 Special Right Triangles
 Trigonometric Ratios in Right Triangles
 Evaluating Trigonometric Functions
 Finding the Area of Triangle Using Trigonometry
 Law of Sines
 Law of Cosines
 Angles of Elevation and Depression
 Upper and Lower Bounds: Trigonometric Calculations
 Applications on Sine and Cosine Laws
 Bearing in Trigonometry
 Trigonometry in Three Dimensions

39 • Graphs of Other Functions and Equations
 Graphing Quadratic Functions
 Features of Quadratic Functions
 Solving Quadratic Equations Graphically
 Applications of Quadratic Equations
 Quadratic Functions in Different Forms
 Solving Cubic Equations Graphically
 Graphing Factorized Cubic Functions
 Graphs of Direct and Inverse Variations
 Graphs of Rational Functions
 Graphs of Trigonometric Functions
 Graphs of Exponential Functions
 Graphing Circles
 The Equation of a Tangent to a Circle
 40 • Growth and Decay
 41 • Transformations of Curves