Table of Contents

Section 1 • NonCalculator Arithmetic
 Order of Operations: Evaluate Numerical Expressions
 Adding Integers
 Subtracting Integers
 Multiplying Integers
 Dividing Integers
 Column Addition of ThreeDigit Numbers: Regroup Ones
 Column Subtraction of ThreeDigit Numbers: Regrouping Tens
 Multiplying TwoDigit Numbers: The Column Method
 Multiplying a ThreeDigit Number by a TwoDigit Number
 Dividing a ThreeDigit Number by a OneDigit Number: Long Division without Remainders
 Dividing a Multidigit Number by a OneDigit Number
 Dividing ThreeDigit Numbers by TwoDigit Numbers: Long Divison without Remainders
 Place Value: Tenths, Hundredths, and Thousandths
 Ordering Decimals: Tenths and Hundredths
 Adding and Subtracting Decimals: Three Decimal Places
 Multiplying Decimals by 10, 100, and 1000
 Multiplying Decimals
 Dividing Decimals by OneDigit Numbers
 Dividing Decimals
 Section 2 • Approximations
 Section 3 • Powers and Roots
 Section 4 • Multiples and Factors

Section 5 • Fractions
 Equivalent Fractions Using Division
 Equivalent Fractions Using Multiplication
 Equivalent Fractions Using Models
 Simplifying Fractions Using Common Factors
 Converting Mixed Numbers to Improper Fractions
 Converting Improper Fractions to Mixed Numbers
 Ordering Fractions
 Ordering Fractions with the Same Numerator
 Comparing Fractions Using Models: Same Denominator
 Comparing Proper Fractions
 Comparing Fractions Using Models: Same Numerator
 Adding Fractions with Like Denominators
 Subtracting Proper Fractions: Denominators Are Multiples
 Subtracting Fractions with Unlike Denominators
 Adding Fractions with Unlike Denominators
 Adding Mixed Numbers: Denominators Are Multiples
 Subtracting Mixed Numbers with Unlike Denominators
 Multiplying Fractions
 Multiplying Mixed Numbers
 Dividing Whole Numbers by Unit Fractions
 Dividing Fractions
 Converting Fractions to Recurring Decimals
 Converting Recurring Decimals to Fractions
 Section 6 • Ratios
 Section 7 • Percentages
 Section 8 • Algebraic Expressions

Section 9 • Equations, Identities and Inequalities
 Onestep Equations: Addition and Subtraction
 TwoStep Equations
 Introduction to Complex Numbers
 Difference of Two Squares
 Inequalities and Interval Notation
 Inequalities on a Number Line
 Onestep Inequalities: Addition or Subtraction
 Onestep Inequalities: Multiplication or Division
 Solving Systems of Linear Equations Using Elimination
 Applications on Systems of Linear Equations
 Factoring Monic Quadratics
 Section 10 • Formulas and Functions
 Section 11 • Sequences

Section 12 • Graphs and Equations
 The Coordinate Plane: Four Quadrants
 The Coordinate Plane: First Quadrant
 Midpoint on the Coordinate Plane
 Graphing Linear Functions
 Solving Linear Equations Using Function Graphs
 Solving Systems of Linear Equations Graphically
 Slope of a Line through Two Points
 Slopes of Parallel and Perpendicular Lines
 Equation of a Straight Line: Slope–Intercept Form
 Graphing Quadratic Functions
 Solving Quadratic Equations Graphically
 Graphing Cubic Functions
 Graphs of Rational Functions
 Section 13 • RealLife Graphs
 Section 14 • Proportion

Section 15 • Angles and 2D Shapes
 Adjacent Angles
 Vertically Opposite Angles
 Lines and Transversals: Angle Pairs
 Angle Relationships
 Types of Triangles: Angles and Sides
 Angle Sum of a Triangle
 The Sum of Angles in Quadrilaterals
 Properties of Squares
 Properties of Rectangles
 Properties of Parallelograms
 Properties of Rhombuses
 Quadrilaterals
 Properties of Kites
 Isosceles Trapezoids
 Interior Angles of a Polygon
 Exterior Angles of a Polygon
 Lines of Symmetry
 Rotational Symmetry
 Order of Rotational Symmetry

Section 16 • Units, Measuring and Estimsting
 Converting Lengths: Metric Units
 Converting and Comparing Mass: Metric Units
 Converting Capacity: Metric Units
 Converting and Comparing Area: Metric Units
 Converting between Imperial and Metric Units of Length
 Converting between Imperial and Metric Units of Mass
 Converting between Imperial and Metric Units of Capacity
 Estimating Length: Metric Units
 Estimating Mass: Metric Units
 Choosing Milliliters or Liters
 Section 17 • Speed, Density, Pressure
 Section 18 • Scale Drawings and Bearings
 Section 19 • Pythagoras and Trigonometry
 Section 20 • Vectors
 Section 21 • Constructions
 Section 22 • Area and Perimeter

Section 23 • 3D Shapes
 3D Shapes
 Properties of 3D Shapes
 Faces of 3D Shapes
 Plans and Elevations
 Nets of 3D Shapes
 Symmetry in 3D Shapes
 Volumes of Rectangular Prisms and Cubes
 Volumes of Cylinders
 Volumes of Spheres
 Volumes of Cones
 Volumes of Pyramids
 Surface Areas of Rectangular Prism and Cubes
 Surface Areas of Prisms
 Surface Areas of Pyramids
 Surface Areas of Cylinders
 Surface Areas of Spheres
 Surface Areas of Cones

Section 24 • Transformations
 Reflections
 Reflections on the Coordinate Plane
 Rotations about a Point
 Rotations on the Coordinate Plane
 Translations
 Translations on a Coordinate Plane
 Dilation: Positive Scale Factors
 Congruent Shapes
 Applications on Congruent Triangles
 Congruence of Triangles: SSS, SAS, and RHS
 Congruence of Triangles: ASA and AAS
 Similar Triangles
 Conditions for Similar Triangles
 Section 25 • Collecting Data
 Section 26 • Analysing Data
 Section 27 • Probability