### 1. Equations and Inequalities

#### 1.1. Real Numbers and Number Operations

Square Roots

#### 1.3. Solving Linear Equations

Solving Two-Step Equations

Modeling and Solving Two-Step Equations

Solving Equations By Graphing Each Side

#### 1.4. Rewriting Equations and Formulas

Solving Formulas for any Variable

#### 1.6. Solving Linear Inequalities

Compound Inequalities

#### 1.7. Solving Absolute Value Equations and Inequalities

Inequalities Involving Absolute Values

### 2. Linear Equations and Functions

#### 2.1. Functions and Their Graphs

Introduction to Functions

#### 2.2. Slope and Rate of Change

Slope - Activity A

#### 2.3. Quick Graphs of Linear Equations

Slope-Intercept Form of a Line - Activity A

Standard Form of a Line

#### 2.4. Writing Equations of Lines

Point-Slope Form of a Line - Activity A

Direct Variation

Slope-Intercept Form of a Line - Activity A

#### 2.5. Correlation and Best-Fitting Lines

Scatter Plots - Activity A

Lines of Best Fit Using Least Squares - Activity A

Correlation

#### 2.6. Linear Inequalities in Two Variables

Linear Inequalities in Two Variables - Activity A

#### 2.8. Absolute Value Functions

Reflections of a Linear Function

Absolute Value with Linear Functions - Activity B

### 3. Systems of Linear Equations and Inequalities

#### 3.1. Solving Linear Systems by Graphing

Solving Linear Systems by Graphing

#### 3.2. Solving Linear Systems Algebraically

Systems of Linear Equations - Activity A

#### 3.3. Graphing and Solving Systems of Linear Inequalities

Systems of Linear Inequalities (Standard form)

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

#### 3.4. Linear Programming

Linear Programming - Activity A

### 4. Matrices and Determinants

#### 4.1. Matrix Operations

Translations

#### 4.3. Cramer's Rule

Systems of Linear Equations - Activity A

### 5. Graphing Quadratic Functions

#### 5.1. Graphing Quadratic Functions

Quadratic Functions

Quadratics in Factored Form

Quadratics in Vertex Form - Activity A

#### 5.2. Solving Quadratic Equations by Factoring

Quadratics in Factored Form

Polynomials and Linear Factors

#### 5.4. Complex Numbers

Absolute Value of a Complex Number

#### 5.6. The Quadratic Formula and the Discriminant

Roots of a Quadratic

#### 5.7. Graphing and Solving Quadratic Inequalities

Quadratic Inequalities - Activity A

#### 5.8. Modeling with Quadratic Functions

Quadratics in Vertex Form - Activity A

Quadratics in Factored Form

### 6. Polynomials and Polynomial Functions

#### 6.2. Evaluating and Graphing Polynomial Functions

Fourth-Degree Polynomials - Activity A

Cubic Function Activity

#### 6.3. Adding, Subtracting, and Multiplying Polynomials

Addition of Polynomials - Activity B

#### 6.5. The Remainder and Factor Theorems

Dividing Polynomials Using Synthetic Division

#### 6.7. Using the Fundamental Theorem of Algebra

Polynomials and Linear Factors

#### 6.8. Analyzing Graphs of Polynomial Functions

Fourth-Degree Polynomials - Activity A

### 7. Powers, Roots, and Radicals

#### 7.2. Properties of Rational Exponents

Operations with Radical Expressions

#### 7.5. Graphing Square Root and Cube Root Functions

Radical Functions

#### 7.7. Statistics and Statistical Graphs

Box-and-Whisker Plots

Line Plots

Exploring Data Using Histograms

### 8. Exponential and Logarithmic Functions

#### 8.1. Exponential Growth

Simple and Compound Interest

#### 8.2. Exponential Decay

Exponential Growth and Decay - Activity B

#### 8.3. The Number e

Exponential Functions - Activity C

#### 8.4. Logarithmic Functions

Logarithmic Functions - Activity B

#### 8.5. Properties of Logarithms

Logarithmic Functions - Activity A

### 9. Rational Equations and Functions

#### 9.1. Inverse and Joint Variation

Direct and Inverse Variation

#### 9.2. Graphing Simple Rational Functions

Rational Functions

#### 9.3. Graphing General Rational Functions

General Form of a Rational Function

#### 9.4. Multiplying and Dividing Rational Expressions

Dividing Exponential Expressions

### 10. Quadratic Relations and Conic Sections

#### 10.1. The Distance and Midpoint Formulas

Distance Formula - Activity A

#### 10.2. Parabolas

Parabolas - Activity A

#### 10.3. Circles

Circles

#### 10.4. Ellipses

Ellipse - Activity A

#### 10.5. Hyperbolas

Hyperbola - Activity A

### 11. Sequences and Series

#### 11.2. Arithmetic Sequences and Series

Arithmetic Sequences

#### 11.3. Geometric Sequences and Series

Geometric Sequences

### 12. Probability and Statistics

#### 12.1. The Fundamental Counting Principle and Permutations

Permutations

#### 12.2. Combinations and the Binomial Theorem

Permutations and Combinations

#### 12.3. An Introduction to Probability

Probability Simulations

Geometric Probability - Activity A

#### 12.4. Probability of Compound Events

Theoretical and Experimental Probability

#### 12.5. Probability of Independent and Dependent Events

Compound Independent and Dependent Events

#### 12.6. Binomial Distributions

Binomial Probabilities

### 13. Trigonometric Ratios and Functions

#### 13.1. Right Triangle Trigonometry

Sine, Cosine and Tangent

Sine and Cosine Ratios - Activity B

#### 13.3. Trigonometric Functions of Any Angle

Sine Function

Cosine Function

Tangent Function

Unit Circle

### 14. Trigonometric Graphs, Identities, and Equations

#### 14.1. Graphing Sine, Cosine, and Tangent Functions

Sine Function

Cosine Function

Tangent Function

Unit Circle

#### 14.2. Translations and Reflections of Trigonometric Graphs

Translating and Scaling Sine and Cosine Functions - Activity A

#### 14.3. Verifying Trigonometric Identities

Simplifying and Verifying Trigonometric Functions

#### 14.6. Using Sum and Difference Formulas

Sum and Difference Identities for Sine and Cosine

#### 14.7. Using Double- and Half-Angle Formulas

Sum and Difference Identities for Sine and Cosine