Table of Contents

Section 1 • Number
 Counting Outcomes with Restrictions
 Fundamental Counting Principle
 Multiplying Decimals
 Estimating by Rounding Up to Three Significant Figures
 Approximating Radicals
 Estimating Radicals Using Number Lines
 Prime Factorization
 Prime Factorization with Exponents
 The Least Common Multiple
 The Greatest Common Factor
 Powers and Exponents
 Nth Roots
 Laws of Exponents
 Zero and Negative Exponents
 Fractional Exponents
 Scientific Notation
 Number Operations in Scientific Notation
 Rational and Irrational Numbers
 Rationalizing Denominators of Radicals

Section 2 • Algebra
 Simplifying Expressions: Rules of Exponents
 Greatest Common Factor of Monomials
 Factorization Using the Highest Common Factor
 Rewriting Expressions Using the Distributive Property
 TwoStep Equations
 Linear Equations with Variables on Both Sides
 Multistep Equations
 Solving Equations with Rational Numbers
 The Language of Algebra
 Writing and Evaluating Formulas
 Linear Sequences
 Calculations with Arithmetic Sequences
 Using Arithmetic Sequence Formulas
 Geometric Sequences
 FibonacciLike Sequences
 Quadratic Sequences
 Multiplying Binomials
 Squaring Binomials
 Expanding an Expression to a Difference of Two Squares
 Difference of Two Squares
 Factoring Monic Quadratics

Section 3 • Interpreting and Representing Data
 StemandLeaf Plots
 BacktoBack StemandLeaf Plots
 Frequency Polygons
 Drawing Pie Charts
 Pie Charts
 Time Series Graphs
 Scattergraphs
 Scatter Plots and Lines of Best Fit
 Best Measure of Central Tendency
 Mean, Median, and Mode
 Grouped Frequency Tables: Estimating the Mean
 Grouped Frequency Tables: Estimating the Median
 Grouped Frequency Tables: Estimating the Mode and Identifying the Modal Class
 TwoWay Frequency Tables
 Grouped Frequency Tables
 Appropriate Data Display

Section 4 • Fractions, Ratio and Percentages
 Reciprocals
 Adding and Subtracting Fractions
 Multiplying and Dividing Fractions
 Unit Ratios
 Comparing Ratios
 Ratios Word Problems
 Sharing a Quantity into a Ratio
 Proportional and Nonproportional Relationships
 Proportion Word Problems
 Percentage Change
 Applications of Percentage
 Simple Interest
 Converting Decimals to Fractions
 Converting Fractions to Recurring Decimals
 Converting Recurring Decimals to Fractions
 Comparing and Ordering Rational Numbers
 Fractions to Percents
 Percents to Fractions
 Fractions, Decimals, and Percents

Section 5 • Angles and Trigonometry
 Angle Sum of a Triangle
 Isosceles Triangles
 The Sum of Angles in Quadrilaterals
 Interior Angles of a Polygon
 Exterior Angles of a Polygon
 The Pythagorean Theorem
 Applications on the Pythagorean Theorem
 Distance on the Coordinate Plane: Pythagorean Formula
 The Converse of the Pythagorean Theorem
 Right Triangle Trigonometry: Solve for a Side
 Right Triangle Trigonometry: Solve for an Angle
 Special Right Triangles
 Trigonometric Ratios in Right Triangles
 Angles of Elevation and Depression
 Trigonometric Ratios of Special Triangles

Section 6 • Graphs
 Equations of Vertical and Horizontal Lines
 Equation of a Straight Line: Slope–Intercept Form
 Equation of a Straight Line: General Form
 Slopes and Intercepts of Linear Functions
 Linear Functions in Different Forms
 Linear Functions
 Slope of a Line through Two Points
 Velocity–Time Graphs
 Average Speed
 Applications of Linear Functions
 Linear Relationships
 Midpoint on the Coordinate Plane
 Slopes of Parallel and Perpendicular Lines
 Equations of Parallel and Perpendicular Lines
 Graphing Quadratic Functions
 Features of Quadratic Functions
 Applications of Quadratic Equations
 Graphing Circles

Section 7 • Area and Volume
 Perimeter of a Composite Figure
 Perimeter of Polygons
 Areas of Composite Polygons
 Area of a Trapezoid
 Areas of Composite Figures
 Converting and Comparing Area: Metric Units
 Areas in Hectares
 Upper and Lower Bounds
 Surface Areas of Rectangular Prism and Cubes
 Surface Areas of Prisms
 Surface Areas of Composite Solids
 Volumes of Rectangular Prisms and Cubes
 Volumes of Triangular Prisms
 Converting Capacity: Metric Units
 Circumference of a Circle
 Area of a Circle
 Arc Lengths and Sectors: Degrees
 Surface Areas of Cylinders
 Surface Areas of Spheres
 Volumes of Cylinders
 Volumes of Spheres
 Surface Areas of Pyramids
 Surface Areas of Cones
 Volumes of Pyramids
 Volumes of Cones
 Volumes of Composite Solids

Section 8 • Transformations and Constructions
 Plans and Elevations
 Reflections on the Coordinate Plane
 Reflections
 Rotations about a Point
 Rotations on the Coordinate Plane
 Geometric Transformations
 Dilation: Positive Scale Factors
 Dilation: Negative Scale Factors
 Translations
 Translations on a Coordinate Plane
 Combining Transformations
 Scale Drawings and Models
 Drawing Angles and Shapes Accurately
 Constructing Polygons in Circles
 Drawing and Measuring Bearings
 Geometric Constructions: Triangles
 Geometric Constructions: Perpendicular Lines
 Geometric Constructions: Angle Bisectors
 Locus of Points

Section 9 • Equations and Inequalities
 Solving Quadratic Equations: Taking Square Roots
 Factoring Nonmonic Quadratics
 Solving Quadratic Equations: Factoring
 Solving Quadratic Equations: Quadratic Formula
 Completing the Square
 Solving Quadratics: Completing the Square
 Solving Systems of Linear Equations Using Elimination
 Solving Systems of Linear Equations Using Substitution
 Applications on Systems of Linear Equations
 LinearQuadratic Systems of Equations
 Inequalities on a Number Line
 Onestep Inequalities: Multiplication or Division
 Multistep Inequalities
 TwoStep Linear Inequalities
 Compound Linear Inequalities
 Inequalities and Interval Notation

Section 10 • Probability
 Introduction to Probability
 Probability of Simple Events
 Compound Events
 Mutually Exclusive Events
 Experimental Probability
 Prediction Using Probability
 Theoretical Probability
 Dependent Events
 Independent Events
 Tree Diagrams
 Conditional Probability: Tree Diagrams
 Conditional Probability
 Conditional Probability: TwoWay Tables
 Sets and Venn Diagrams
 Union of Sets Using Venn Diagrams
 Calculating Probability Using Venn Diagrams
 Expressing a Set
 Section 11 • Multiplicative Reasoning
 Section 12 • Similarity and Congruence

Section 13 • More Trigonometry
 Upper and Lower Bounds: Trigonometric Calculations
 Graphs of Trigonometric Functions
 Evaluating Trigonometric Functions
 Areas of Circular Segments
 Area of Circular Segments: Degrees
 Finding the Area of Triangle Using Trigonometry
 Law of Sines
 Law of Cosines
 Applications on Sine and Cosine Laws
 Bearing in Trigonometry
 The Pythagorean Theorem in 3D
 Trigonometry in Three Dimensions
 Transformation of Trigonometric Functions

Section 14 • Further Statistics
 Types of Sampling
 Stratified Random Sampling
 Biased versus Unbiased Samples
 Cumulative Frequency Graphs
 BoxandWhisker Plots
 Comparing Two Distributions Using Box Plots
 Frequency Density and Histograms
 Interpreting Frequency Density Histograms
 Comparing Data
 Comparing Data Sets Using the Mean and Range

Section 15 • Equations and Graphs
 Solving Systems of Linear Equations Graphically
 TwoVariable Linear Inequalities
 Solving Systems of Linear Inequalities
 Quadratic Functions in Different Forms
 Solving Quadratic Equations Graphically
 Solving Quadratic Equations Iteratively
 Solving Systems of Nonlinear Equations Graphically
 Graphing Factorized Cubic Functions
 Solving Cubic Equations Graphically
 Solving Cubic Equations Iteratively
 Section 16 • Circle Theorems

Section 17 • More Algebra
 Changing the Subject of a Formula
 Adding and Subtracting Algebraic Fractions
 Multiplying and Dividing Rational Expressions
 Simplifying Algebraic Fractions
 Adding and Subtracting Radical Expressions
 Multiplying Radical Expressions
 Simplifying Radicals
 Rational Equations
 Evaluating Functions
 Polynomial Functions
 Composite Functions
 Inverse of a Function
 Proving Polynomial Identities
 Section 18 • Vectors and Geometric Proof
 Section 19 • Proportion and Graphs