Table of Contents

1 • Basic Number
 Multiplying Decimals: Column Multiplication
 Dividing Decimals: Whole Number Quotients
 Rounding Numbers with Two Decimal Places
 Rounding MultiDigit Numbers with Decimals to Any Place Value
 Rounding Numbers with Three Decimal Places
 Multiples
 Factors
 Prime and Composite Numbers
 Squares of Numbers
 Cubes of Numbers
 Square Roots of Perfect Squares
 Cube Roots of Perfect Cubes
 Prime Factorization with Exponents
 Prime Factorization
 The Least Common Multiple
 The Greatest Common Factor
 Integers on a Number Line
 Adding Integers
 Subtracting Integers
 Multiplying Integers
 Dividing Integers

2 • Fractions, Ratio and Proportion
 Representing Fractions as Divisions
 Adding Fractions with Like Denominators
 Adding Fractions with Unlike Denominators
 Adding Mixed Numbers: Denominators Are Multiples
 Subtracting Proper Fractions: Denominators Are Multiples
 Subtracting Fractions with Unlike Denominators
 Subtracting Mixed Numbers with Unlike Denominators
 Multiplying Fractions
 Multiplying Mixed Numbers
 Dividing Fractions
 Dividing Mixed Numbers
 Applications of Percentage
 Fractions to Percents
 Percent of a Number
 3 • Statistical Diagrams and Averages
 4 • Number and Sequences
 5 • Ratio and Proportion
 6 • Angles

7 • Transformations, Constructions and Loci
 Congruence of Triangles: SSS, SAS, and RHS
 Congruence of Triangles: ASA and AAS
 Rotational Symmetry
 Order of Rotational Symmetry
 Translations on a Coordinate Plane
 Reflections on the Coordinate Plane
 Rotations on the Coordinate Plane
 Dilation: Positive Scale Factors
 Combining Transformations
 Geometric Constructions: Angle Bisectors

8 • Algebraic Manipulation
 Writing Algebraic Expressions
 Evaluating Algebraic Expressions
 Rewriting Expressions Using the Distributive Property
 Factorization Using the Highest Common Factor
 Multiplying Binomials
 Squaring Binomials
 Factoring Monic Quadratics
 Factoring PerfectSquare Trinomials
 Factoring by Grouping
 Factoring Nonmonic Quadratics
 Difference of Two Squares
 Changing the Subject of a Formula

9 • Length, Area and Volume
 Circumference of a Circle
 Area of a Circle
 Area of a Parallelogram
 Area of a Trapezoid
 Arc Lengths and Sectors
 Volumes of Triangular Prisms
 Volumes of Rectangular Prisms and Cubes
 Volumes of Composite Solids
 Volumes of Cylinders
 Volumes of Pyramids
 Volumes of Cones
 Volumes of Spheres
 Surface Areas of Spheres

10 • Linear Graphs
 Graphing Linear Functions
 Slope of a Line from a Graph or a Table
 Equation of a Straight Line: General Form
 Equation of a Straight Line: Slope–Intercept Form
 Equation of a Straight Line: Standard and Point–Slope Forms
 Solving Systems of Linear Equations Graphically
 Equations of Parallel and Perpendicular Lines
 11 • RightAngled Triangles
 12 • Similarity
 13 • Exploring and Applying Probability
 14 • Powers and Standard Form

15 • Equations and Inequalities
 Solving Equations with Rational Numbers
 TwoStep Equations
 Linear Equations with Variables on Both Sides
 Solving Systems of Linear Equations Using Substitution
 Solving Systems of Linear Equations Using Elimination
 Applications on Systems of Linear Equations
 Inequalities on a Number Line
 Multistep Inequalities
 TwoVariable Linear Inequalities
 Trial and Improvement
 16 • Counting, Accuracy, Powers and Surds
 17 • Quadratic Equations
 18 • Sampling and More Complex Diagrams
 19 • Combined Events
 20 • Properties of Circles
 21 • Variation
 22 • Triangles
 23 • Graphs
 24 • Algebraic Fractions and Functions
 25 • Vector Geometry