Table of Contents
 Calculation and Estimation
 Factors and Multiples

Powers and Roots
 Powers and Exponents
 Laws of Exponents
 Zero and Negative Exponents
 Simplifying Monomials: Zero Exponents
 Simplifying Monomials: Negative Exponents
 Fractional Exponents
 Simplifying Algebraic Expressions: Negative and Fractional Exponents
 nth Roots: Integers
 Scientific Notation
 Number Operations in Scientific Notation

Factorising and Expanding Expressions
 Simplifying Expressions: Rules of Exponents
 The Greatest Common Factor of Monomials
 Factoring Using the Highest Common Factor
 Rewriting Expressions Using the Distributive Property
 Multiplying Binomials
 Multiplying a Binomial by an Algebraic Expression
 Expanding an Expression to a Difference of Two Squares
 Difference of Two Squares
 Factoring Monic Quadratics
 Equations and Formulas
 Sequences

Fractions, Decimals, and Percentages
 Reciprocals
 Adding and Subtracting Fractions
 Multiplying and Dividing Fractions
 Converting Decimals to Fractions
 Converting Fractions to Recurring Decimals
 Converting Recurring Decimals to Fractions
 Comparing and Ordering Rational Numbers
 Percentage Change
 Applications of Percentage
 Simple Interest
 Fractions to Percents
 Percents to Fractions
 Fractions, Decimals, and Percents
 Ratio and Proportion

Working with Data
 StemandLeaf Plots
 BacktoBack StemandLeaf Plots
 Frequency Polygons
 Pie Charts
 Drawing Pie Charts
 Time Series Graphs
 Plotting Scatter Graphs
 Scatter Plots and Lines of Best Fit
 Best Measure of Central Tendency
 Mean, Median, and Mode
 Grouped Frequency Tables
 Grouped Frequency Tables: Estimating the Mean
 Grouped Frequency Tables: Estimating the Median
 Grouped Frequency Tables: Estimating the Mode
 Appropriate Data Display
 Angles in Polygons

RightAngled Triangles
 The Pythagorean Theorem
 Applications on the Pythagorean Theorem
 Distance on the Coordinate Plane: Pythagorean Formula
 The Converse of the Pythagorean Theorem
 Right Triangle Trigonometry: Solving for a Side
 Right Triangle Trigonometry: Solving for an Angle
 Angles of Elevation and Depression
 Special Right Triangles
 Trigonometric Ratios of Special Triangles
 Trigonometric Ratios in Right Triangles

Area and Perimeter
 Perimeter of a Composite Figure
 Perimeter of Polygons
 Areas of Composite Polygons
 Area of a Trapezoid
 Areas of Composite Figures
 Converting and Comparing Area: Metric Units
 Areas in Hectares
 Upper and Lower Bounds
 Circumference of a Circle
 Area of a Circle
 Arc Lengths and Sectors: Degrees
 Areas of Circular Segments
 Area of Circular Segments: Degrees
 Volume
 Surface Area

Graphing Linear and Nonlinear Equations
 Equations of Vertical and Horizontal Lines
 Equation of a Straight Line: Slope–Intercept Form
 Slopes and Intercepts of Linear Functions
 Equation of a Straight Line: General Form
 Slope of a Line through Two Points
 Completing Function Tables
 Linear Functions
 Linear Functions in Different Forms
 Applications of Linear Functions
 Velocity–Time Graphs
 Average Speed
 Linear Relationships
 Midpoint on the Coordinate Plane
 Slopes of Parallel and Perpendicular Lines
 Equations of Parallel and Perpendicular Lines
 Graphing Quadratic Functions
 Features of Quadratic Functions
 Applications of Quadratic Equations
 Graphing Circles
 Properties of Tangents and Chords
 Geometric Constructions and Loci
 Bearings and Scale Drawings
 Geometric Transformations
 Solving Quadratic Equations
 Simultaneous Equations
 Linear Inequalities

Probability
 Introduction to Probability
 Probability of Simple Events
 Compound Events
 Mutually Exclusive Events
 Experimental Probability
 Prediction Using Probability
 Theoretical Probability
 Dependent and Independent Events
 Independent Events
 Tree Diagrams
 Conditional Probability: Tree Diagrams
 Conditional Probability
 TwoWay Frequency Tables
 Conditional Probability: TwoWay Tables
 Sets and Venn Diagrams
 Calculating Probability Using Venn Diagrams
 Expressing a Set

Collecting, Interpreting, and Representing Data
 Sampling Methods
 Simple Random Sample
 Stratified Random Sampling
 Biased versus Unbiased Samples
 Quartiles of a Data Set
 Interquartile Range
 Cumulative Frequency Graphs
 BoxandWhisker Plots
 Comparing Two Distributions Using Box Plots
 Frequency Density and Histograms
 Comparing Data
 Comparing Data Sets Using the Mean and Range
 Multiplicative Reasoning
 Direct and Inverse Proportion

Congruence and Similarity
 Congruence of Triangles: SSS, SAS, and RHS
 Congruence of Triangles: ASA and AAS
 Applications of Triangle Congruence
 Congruent Polygons
 Similarity of Triangles
 Triangle Similarity Criteria and Their Applications
 Similar Polygons
 Areas of Similar Polygons
 Applications of Similar Polygons
 Similarity of Solids

Trigonometry
 Upper and Lower Bounds: Trigonometric Calculations
 Evaluating Trigonometric Ratios given the Value of Another Ratio
 Graphs of Trigonometric Functions
 Finding the Area of a Triangle Using Trigonometry
 Law of Sines
 Law of Cosines
 Applications on Sine and Cosine Laws
 Bearing in Trigonometry
 Applying the Pythagorean Theorem to Pyramids and Cones
 Trigonometry in Three Dimensions
 Transformation of Trigonometric Functions
 Circle Theorems

Graphs
 Solving Systems of Linear Equations Graphically
 TwoVariable Linear Inequalities
 Solving Systems of Linear Inequalities
 Quadratic Functions in Different Forms
 Solving Quadratic Equations Graphically
 Solving Quadratic Equations Iteratively
 Solving Systems of Nonlinear Equations Graphically
 Graphing Factorized Cubic Functions
 Solving Cubic Equations Graphically
 Solving Cubic Equations Iteratively
 Graphs of Direct and Inverse Variations
 Graphs of Rational Functions
 Graphs of Exponential Functions
 Function Transformations: Translations
 Function Transformations: Dilation
 Estimating Rates of Change and Areas Under Graphs
 Surds
 Algebraic Fractions
 Functions and Polynomials
 Vectors