Table of Contents

1 • Number
 Multiplying Integers
 Order of Operations: Exponents
 Simplifying Fractions Using Common Factors
 Order of Operations: Evaluate Numerical Expressions
 Order of Operations: Negative Numbers
 Order of Operations: Decimals
 Adding and Subtracting Decimals
 Multiplying Decimals
 Dividing Decimals: Decimal Quotients
 Rounding MultiDigit Numbers with Decimals to Any Place Value
 Estimating by Rounding Up to Three Significant Figures
 Rounding to a Given Number of Significant Figures
 Factors
 Multiples
 Common Factors
 The Greatest Common Factor
 Common Multiples
 The Least Common Multiple
 Prime and Composite Numbers
 Nth Roots
 Estimating Radicals Using Number Lines
 Simplifying Monomials: Quotient Rule
 Simplifying Monomials: Power of a Power Rule
 Powers and Exponents
 Prime Factorization
 Prime Factorization with Exponents

2 • Algebra
 Simplifying Expressions: Commutative and Associative Properties
 Simplifying Expressions: Combining Like Terms
 Simplifying Expressions: Rules of Exponents
 Simplifying Monomials: Product Rule
 Multiplying Monomials
 Writing and Evaluating Algebraic Expressions
 Evaluating Algebraic Expressions
 Function Rules
 Rewriting Expressions Using the Distributive Property
 Greatest Common Factor of Monomials
 Factorization Using the Highest Common Factor
 Writing Algebraic Expressions
 3 • Graphs, Tables, and Charts

4 • Fractions and Percentages
 Ordering Fractions
 Comparing Proper Fractions
 Adding and Subtracting Fractions
 Multiplying and Dividing Fractions
 Converting Decimals to Fractions
 Converting Fractions to Decimals
 Converting Fractions to Recurring Decimals
 Comparing and Ordering Rational Numbers
 Fractions, Decimals, and Percents
 Fractions to Percents
 Percents to Fractions
 Percentages to Decimals
 Decimals to Percentages
 Percent of a Number
 Simple Interest
 Percentage Change

5 • Equations, Inequalities, and Sequences
 Onestep Equations: Addition and Subtraction
 Onestep Equations: Multiplication and Division
 TwoStep Equations
 Multistep Equations
 Linear Equations with Variables on Both Sides
 Inequalities on a Number Line
 Onestep Inequalities: Addition or Subtraction
 Onestep Inequalities: Multiplication or Division
 Multistep Inequalities
 TwoStep Linear Inequalities
 Compound Linear Inequalities
 Writing and Evaluating Formulas
 Linear Sequences
 Calculations with Arithmetic Sequences

6 • Angles
 The Sum of Angles in Quadrilaterals
 Classifying Polygons
 Similar and Congruent Figures
 Adjacent Angles
 Vertically Opposite Angles
 Parallel Lines and Transversals: Angle Relationships
 Angle Sum of a Triangle
 Exterior Angles of a Triangle
 Interior Angles of a Polygon
 Exterior Angles of a Polygon
 Angle Relationships

7 • Averages and Range
 The Mean of a Data Set
 The Range of a Data Set
 The Median of a Data Set
 The Mode of a Data Set
 Mean, Median, and Mode
 Outliers of a Data Set
 Best Measure of Central Tendency
 Grouped Frequency Tables: Estimating the Mean
 Types of Data
 Types of Sampling
 Simple Random Sample
 Biased versus Unbiased Samples

8 • Perimeter, Area and Volume 1
 Areas of Rectangles and Squares
 Area of a Triangle
 Area of a Parallelogram
 Converting and Comparing Area: Metric Units
 Area of a Trapezoid
 Areas of Composite Polygons
 Surface Areas of Rectangular Prism and Cubes
 Surface Areas of Prisms
 Volumes of Rectangular Prisms and Cubes
 Volumes of Triangular Prisms

9 • Graphs
 Midpoint on the Coordinate Plane
 Equations of Vertical and Horizontal Lines
 Graphing Linear Functions
 Slope and Rate of Change
 Linear Relationships
 Slope of a Line from a Graph or a Table
 Slopes of Parallel and Perpendicular Lines
 Equations of Parallel and Perpendicular Lines
 Linear Functions in Different Forms
 Equation of a Straight Line: Slope–Intercept Form
 Slopes and Intercepts of Linear Functions
 10 • Transformations
 11 • Ratio and Proportion

12 • RightAngled Triangles
 The Pythagorean Theorem
 Applications on the Pythagorean Theorem
 Distance on the Coordinate Plane: Pythagorean Formula
 The Sine Ratio
 The Cosine Ratio
 The Tangent Ratio
 Angles of Elevation and Depression
 Right Triangle Trigonometry: Solve for a Side
 Right Triangle Trigonometry: Solve for an Angle
 Trigonometric Ratios of Special Triangles
 Evaluating Trigonometric Functions

13 • Probability
 Introduction to Probability
 Probability of Simple Events
 Mutually Exclusive Events
 Compound Events
 Conditional Probability: TwoWay Tables
 Experimental Probability
 Prediction Using Probability
 Theoretical Probability
 Calculating Probability Using Venn Diagrams
 Expressing a Set
 Tree Diagrams
 Dependent Events
 Independent Events
 Conditional Probability: Tree Diagrams
 Conditional Probability
 14 • Multiplicative Reasoning

15 • Constructions, Loci and Bearings
 Properties of 3D Shapes
 Symmetry in 3D Shapes
 Lines of Symmetry
 Drawing Angles and Shapes Accurately
 Scale Drawings and Models
 Nets of 3D Shapes
 Constructing Polygons in Circles
 Geometric Constructions: Triangles
 Geometric Constructions: Perpendicular Lines
 Geometric Constructions: Angle Bisectors
 Locus of Points
 Drawing and Measuring Bearings
 16 • Quadratic Equations and Graphs

17 • Perimeter, Area and Volume 2
 Circumference of a Circle
 Area of a Circle
 Arc Lengths and Sectors: Degrees
 Perimeter of Polygons
 Perimeter of a Composite Figure
 Areas of Composite Figures
 Volumes of Cylinders
 Surface Areas of Cylinders
 Volumes of Pyramids
 Volumes of Cones
 Surface Areas of Pyramids
 Surface Areas of Cones
 Volumes of Spheres
 Surface Areas of Spheres
 Surface Areas of Composite Solids
 18 • Fractions, Indices and Standard Form

19 • Congruence, Similarity and Vectors
 Conditions for Similar Triangles
 Similar Triangles
 Similar Polygons
 Applications of Similar Polygons
 Congruence of Triangles: SSS, SAS, and RHS
 Congruence of Triangles: ASA and AAS
 Applications on Congruent Triangles
 Congruent Polygons
 Components of a Vector
 Adding and Subtracting Vectors in 2D
 Graphical Operations on Vectors
 Vector Operations in 2D

20 • More Algebra
 Graphs of Direct and Inverse Variations
 Applications on Systems of Linear Equations
 Solving Systems of Linear Equations Graphically
 Solving Systems of Linear Equations Using Elimination
 Solving Systems of Linear Equations Using Substitution
 Changing the Subject of a Formula
 Proving Polynomial Identities