Table of Contents

Calculation and Estimation
 Multiplying Integers
 Simplifying Fractions Using Common Factors
 Order of Operations: Evaluate Numerical Expressions
 Order of Operations: Negative Numbers
 Order of Operations: Decimals
 Order of Operations: Exponents
 Adding and Subtracting Decimals
 Multiplying Decimals
 Dividing Decimals: Decimal Quotients
 Approximating Radicals
 Rounding Multidigit Numbers with Decimals to Any Place Value
 Rounding to a Given Number of Significant Figures
 Factors and Multiples
 Powers and Roots

Algebraic Methods
 Simplifying Expressions: Commutative and Associative Properties
 Simplifying Expressions: Combining Like Terms
 Simplifying Expressions: Rules of Exponents
 Simplifying Monomials: Product Rule
 Simplifying Monomials: Multiplication
 Writing Algebraic Expressions
 Writing and Evaluating Algebraic Expressions
 Evaluating Algebraic Expressions
 Writing and Evaluating Formulas
 Function Rules
 Rewriting Expressions Using the Distributive Property
 The Greatest Common Factor of Monomials
 Factoring Using the Highest Common Factor
 Representing Data
 Fractions
 Fractions, Decimals, and Percentages
 Calculating Percentages

Equations, Inequalities, and Sequences
 Function Machines
 Onestep Equations: Addition and Subtraction
 Onestep Equations: Multiplication and Division
 TwoStep Equations
 Multistep Equations
 Linear Equations with Variables on Both Sides
 Linear Sequences
 Calculations with Arithmetic Sequences
 Inequalities on a Number Line
 Onestep Inequalities: Addition or Subtraction
 Onestep Inequalities: Multiplication or Division
 Multistep Inequalities
 TwoStep Linear Inequalities
 Compound Linear Inequalities
 Angles

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

Perimeter and Area
 Perimeter of Polygons
 Perimeter of a Composite Figure
 Areas of Rectangles and Squares
 Area of a Triangle
 Area of a Trapezoid
 Area of a Parallelogram
 Areas of Composite Polygons
 Areas of Composite Figures
 Converting and Comparing Area: Metric Units
 Circumference of a Circle
 Area of a Circle
 Arc Lengths and Sectors: Degrees
 Properties of 3D Shapes
 Volume
 Surface Area

Coordinates and Linear 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
 Equation of a Straight Line: Slope–Intercept Form
 Linear Functions in Different Forms
 Slopes and Intercepts of Linear Functions
 Geometric Transformations
 Ratio and Proportion

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
 Right Triangle Trigonometry: Solving for a Side
 Right Triangle Trigonometry: Solving for an Angle
 Angles of Elevation and Depression
 Trigonometric Ratios of Special Triangles
 Evaluating Trigonometric Ratios given the Value of Another Ratio

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
 Calculating Probability Using Venn Diagrams
 Expressing a Set
 Multiplicative Reasoning
 Direct and Inverse Proportion
 Constructions and Bearings
 Quadratic Expressions and Equations
 Similarity and Congruence
 Vectors
 Algebra and Graphs