### 1. Real Numbers, Algebra, and Problem Solving

#### 1.1. Real Numbers and Operations

Adding Real Numbers

#### 1.2. Multiplication and Division of Real Numbers

Dividing Fractions

#### 1.3. Algebraic Expressions and Properties of Numbers

Using Algebraic Expressions

#### 1.5. Solving Equations

Modeling and Solving Two-Step Equations

Solving Two-Step Equations

#### 1.6. Writing Equations

Using Algebraic Equations

#### 1.8. Properties of Exponents

Exponents and Power Rules

Multiplying Exponential Expressions

Dividing Exponential Expressions

### 2. Equations and Inequalities

#### 2.2. Using Equations

Using Algebraic Equations

#### 2.3. Solving Formulas

Solving Formulas for any Variable

#### 2.4. Solving Inequalities

Solving Linear Inequalities using Addition and Subtraction

Solving Linear Inequalities using Multiplication and Division

#### 2.6. Compound Inequalities

Compound Inequalities

#### 2.7. Absolute Value

Inequalities Involving Absolute Values

#### 2.8. Proofs in Solving Equations

Conditional Statement

### 3. Relations, Functions, and Graphs

#### 3.2. Graphs

Points in the Coordinate Plane - Activity B

#### 3.3. Functions

Introduction to Functions

#### 3.4. Graphs of Linear Equations

Linear Functions

Using Tables, Rules and Graphs

#### 3.5. Slope

Slope - Activity A

#### 3.6. More Equations of Lines

Slope-Intercept Form of a Line - Activity A

### 4. Systems of Equations and Problem Solving

#### 4.1. Systems of Equations in Two Variables

Solving Linear Systems by Graphing

#### 4.3. Using a System of Two Equations

Modeling Linear Systems - Activity B

#### 4.6. Consistent and Dependent Systems

Special Types of Solutions to Linear Systems

Systems of Linear Equations - Activity B

#### 4.7. Systems of Inequalities

Systems of Linear Inequalities (Standard form)

Systems of Linear Inequalities (Slope-intercept form) - Activity A

#### 4.8. Using Linear Programming

Linear Programming - Activity A

### 5. Polynomials and Polynomial Equations

#### 5.2. Addition and Subtraction of Polynomials

Addition of Polynomials - Activity B

#### 5.4. Factoring

Factoring Special Products

Polynomials and Linear Factors

#### 5.5. More Factoring

Modeling the Factorization of * x*^{2}+*bx*+*c*

Modeling the Factorization of * ax*^{2}+*bx*+*c*

#### 5.7. Solving Equations by Factoring

Quadratics in Factored Form

Polynomials and Linear Factors

#### 5.8. Using Equations

Maximize Area

Minimize Perimeter

### 6. Rational Expressions and Equations

#### 6.5. Synthetic Division

Dividing Polynomials Using Synthetic Division

#### 6.7. Using Rational Equations

Direct and Inverse Variation

#### 6.8. Formulas

Solving Formulas for any Variable

#### 6.9. Variation and Problem Solving

Direct and Inverse Variation

#### 6.10. Reasoning Strategies

Finding Patterns

### 7. Powers, Roots, and Complex Numbers

#### 7.1. Radical Expressions

Simplifying Radicals - Activity A

#### 7.2. Multiplying and Simplifying

Operations with Radical Expressions

#### 7.3. Operations with Radical Expressions

Operations with Radical Expressions

#### 7.4. More Operations with Radical Expressions

Operations with Radical Expressions

#### 7.8. Complex Numbers and Graphing

Points in the Complex Plane - Activity A

### 8. Quadratic Equations

#### 8.3. The Quadratic Formula

Roots of a Quadratic

#### 8.4. Solutions to Quadratic Equations

Roots of a Quadratic

### 9. Quadratic Functions and Transformations

#### 9.2. Transformations

Translating and Scaling Functions

#### 9.3. Stretching and Shrinking

Translating and Scaling Functions

#### 9.4. Graphs of Quadratic Functions

Quadratics in Vertex Form - Activity A

#### 9.5. Graphs of f(x)=a(x-h)^{2}+ k

Quadratics in Vertex Form - Activity A

#### 9.6. Standard Form for Quadratic Functions

Quadratics in Polynomial Form - Activity A

#### 9.7. Graphs and x-intercepts

Roots of a Quadratic

### 10. Equations of Second Degree

#### 10.1. Coordinate Geometry

Distance Formula - Activity A

#### 10.2. Conic Sections: Circles

Circles

#### 10.3. Ellipses

Ellipse - Activity A

#### 10.4. Hyperbolas

Hyperbola - Activity A

#### 10.5. Parabolas

Parabolas - Activity A

### 11. Polynomial Functions

#### 11.2. The Remainder and Factor Theorems

Dividing Polynomials Using Synthetic Division

#### 11.3. Theorems About Roots

Polynomials and Linear Factors

#### 11.6. Graphs of Polynomial Functions

Fourth-Degree Polynomials - Activity A

### 12. Inverse Relations and Functions

#### 12.2. Exponential and Logarithmic Functions

Exponential Functions - Activity A

Logarithmic Functions - Activity B

#### 12.3. Exponential and Logarithmic Relationships

Logarithmic Functions - Activity A

#### 12.4. Properties of Logarithmic Functions

Logarithmic Functions - Activity A

#### 12.8. Natural Logarithms and the Number e

Exponential Functions - Activity C

### 13. Matrices

#### 13.1. Matrices and Systems of Equations

Systems of Linear Equations - Activity A

#### 13.2. Addition and Subtraction of Matrices

Translations

### 14. Sequences, Series, and Mathematical Induction

#### 14.2. Arithmetic Sequences and Series

Arithmetic Sequences

#### 14.3. Geometric Sequences and Series

Geometric Sequences

### 15. Counting and Probability

#### 15.1. Counting Problems and Permutations

Permutations

#### 15.3. Combinations

Permutations and Combinations

#### 15.5. Probability

Geometric Probability - Activity A

Probability Simulations

#### 15.6. Compound Probability

Compound Independent and Dependent Events

#### 15.7. Simulating Events

Binomial Probabilities

Probability Simulations

Theoretical and Experimental Probability

### 16. Statistics and Data Analysis

#### 16.1. Statistics: Organizing Data

Stem-and-Leaf Plots

Histograms

#### 16.2. Using Measures of Central Tendency

Mean, Median and Mode

Describing Data Using Statistics

Box-and-Whisker Plots

Line Plots

### 17. Trigonometric Functions

#### 17.1. Trigonometric Functions in Triangles

Sine, Cosine and Tangent

Sine and Cosine Ratios - Activity A

Tangent Ratio

#### 17.2. More Trigonometric Functions

Unit Circle

#### 17.5. Graphs of Trigonometric Functions

Sine Function

Tangent Function

Cosine Function

#### 17.6. Trigonometric Function Relationships

Simplifying and Verifying Trigonometric Functions

#### 17.7. More Trigonometric Graphs

Translating and Scaling Sine and Cosine Functions - Activity A

### 18. Trigonometric Identities and Equations

#### 18.1. Sum and Difference Identities

Sum and Difference Identities for Sine and Cosine

#### 18.3. Proving Identities

Simplifying and Verifying Trigonometric Functions

#### 18.6. Right Triangles and Problem Solving

Sine and Cosine Ratios - Activity B