Table of Contents

1 • Calculations 1
 Comparing Decimals Using Place Value
 Rounding Numbers up to 10,000
 Rounding MultiDigit Numbers with Decimals to Any Place Value
 Multiplying Decimals by 10, 100, and 1000
 Dividing Decimals by 10, 100, and 1000
 Adding Integers
 Adding and Subtracting Decimals: Three Decimal Places
 Column Addition with Three or More Decimals
 Adding and Subtracting Decimals
 Dividing Integers
 Multiplying Integers
 Dividing a FourDigit Number by a TwoDigit Number
 Dividing Whole Numbers
 Order of Operations: Evaluate Numerical Expressions
 Order of Operations: Exponents
 Order of Operations: Decimals
 2 • Expressions

3 • Angles and Polygons
 Angle Relationships
 Vertically Opposite Angles
 Parallel Lines and Transversals: Angle Relationships
 Adjacent Angles
 Angle Sum of a Triangle
 Classifying Quadrilaterals
 The Sum of Angles in Quadrilaterals
 Conditions for Similar Triangles
 Similar Triangles
 Congruence of Triangles: SSS, SAS, and RHS
 Congruence of Triangles: ASA and AAS
 Interior Angles of a Polygon
 4 • Handling Data 1

5 • Fractions, Decimals and Percentages
 Adding Fractions with Unlike Denominators
 Subtracting Fractions with Unlike Denominators
 Multiplying Fractions
 Dividing Fractions
 Converting Improper Fractions to Mixed Numbers
 Fractions to Percents
 Percents to Fractions
 Decimals to Percentages
 Converting Fractions to Recurring Decimals
 Sum of an Infinite Geometric Sequence

6 • Formulae and Functions
 Evaluating HigherDegree Algebraic Expressions
 Evaluating Algebraic Expressions
 Writing Algebraic Expressions
 Changing the Subject of a Formula
 Relations and Functions
 Function Rules
 Composite Functions
 Combining Functions
 Inverse of a Function
 Multiplying Binomials
 Squaring Binomials
 Expanding an Expression to a Difference of Two Squares
 Factoring Monic Quadratics
 Factoring PerfectSquare Trinomials
 Difference of Two Squares
 Factoring by Grouping
 Factoring Nonmonic Quadratics
 Simplifying Algebraic Fractions

7 • Working in 2D
 Areas of Rectangles and Squares
 Area of a Parallelogram
 Area of a Triangle
 Area of a Trapezoid
 Areas of Composite Polygons
 Geometric Transformations
 Translations on a Coordinate Plane
 Translations
 Reflections on the Coordinate Plane
 Reflections
 Rotations on the Coordinate Plane
 Rotations about a Point
 Combining Transformations
 8 • Probability
 9 • Measures and Accuracy

10 • Equations and Inequalities
 TwoStep Equations
 Linear Equations with Variables on Both Sides
 Solving Equations with Rational Numbers
 Solving Quadratic Equations: Taking Square Roots
 Solving Quadratics: Completing the Square
 Solving Quadratic Equations: Quadratic Formula
 Solving Systems of Linear Equations Using Elimination
 Solving Systems of Linear Equations Using Substitution
 Solving Linear Equations Using Function Graphs
 Solving Systems of Quadratic Equations
 Onestep Inequalities: Addition or Subtraction
 Onestep Inequalities: Multiplication or Division
 Multistep Inequalities
 TwoVariable Linear Inequalities
 Solving Systems of Linear Inequalities
 OneVariable Quadratic Inequalities
 11 • Circles and Constructions
 12 • Ratio and Proportion
 13 • Factors, Powers and Roots

14 • Graphs 1
 Linear Functions in Different Forms
 Equation of a Straight Line: Slope–Intercept Form
 Equation of a Straight Line: Standard and Point–Slope Forms
 Equations of Parallel and Perpendicular Lines
 Applications of Linear Functions
 Graphing Quadratic Functions
 Solving Quadratic Equations Graphically
 Roots of Quadratic Functions
 Quadratic Functions in Different Forms
 Features of Quadratic Functions

15 • Working in 3D
 Nets of 3D Shapes
 3D Shapes
 Volumes of Cylinders
 Volumes of Triangular Prisms
 Volumes of Rectangular Prisms and Cubes
 Volumes of Composite Solids
 Surface Areas of Cylinders
 Surface Areas of Cones
 Surface Areas of Spheres
 Volumes of Pyramids
 Volumes of Cones
 Volumes of Spheres
 Surface Areas of Composite Solids
 16 • Handling Data 2
 17 • Calculations 2
 18 • Graphs 2

19 • Pythagoras, Trigonometry and Vectors
 The Pythagorean Theorem
 Applications on the Pythagorean Theorem
 Trigonometric Ratios in Right Triangles
 Right Triangle Trigonometry: Solve for an Angle
 Law of Sines
 Law of Cosines
 Finding the Area of Triangle Using Trigonometry
 Applications on Sine and Cosine Laws
 Components of a Vector
 Graphical Operations on Vectors

20 • The Probability of Combined Events
 Definition of a Set
 Expressing a Set
 Elements of a Set
 Universal Set
 Union of Sets
 Intersection of Sets
 Complements of a Set
 Sets and Venn Diagrams
 Union of Sets Using Venn Diagrams
 Intersection of Sets Using Venn Diagrams
 Complements of Sets Using Venn Diagrams
 Introduction to Probability
 Probability of Simple Events
 Tree Diagrams
 Conditional Probability: Tree Diagrams
 Compound Events
 Conditional Probability: TwoWay Tables
 21 • Sequences

22 • Units and Proportionality
 Converting Lengths: Metric Units
 Converting and Comparing Area: Metric Units
 Converting Capacity: Metric Units
 Similarity of Solids
 Proportional Equations
 Direct Variation
 Inverse Variation
 Slope and Rate of Change
 Simple Interest
 Compound Interest
 Exponential Growth and Decay Models
 Exponential Growth and Decay