### 1: Data and Linear Representation

#### 1.1: Tables and Graphs of Linear Equations

Linear Functions

Using Tables, Rules and Graphs

#### 1.2: Slope and Intercepts

Slope - Activity B

#### 1.3: Linear Equations in Two variables

Point-Slope Form of a Line - Activity A

Slope-Intercept Form of a Line - Activity B

#### 1.4: Direct Variation and Proportion

Beam to Moon (Ratios and Proportions)

Direct Variation

Estimating Population Size

#### 1.5: Scatter Plots and Least-Squares Lines

Lines of Best Fit Using Least Squares - Activity A

#### 1.6: Introduction to Solving Equations

Modeling and Solving Two-Step Equations

Solving Formulas for any Variable

#### 1.7: Introduction to Solving Inequalities

Compound Inequalities

Solving Linear Inequalities using Addition and Subtraction

#### 1.8: Solving Absolute-Value Equations and Inequalities

Inequalities Involving Absolute Values

### 2: Numbers and Functions

#### 2.1: Operations With Numbers

Order of Operations

#### 2.2: Properties of Exponents

Dividing Exponential Expressions

Exponents and Power Rules

Multiplying Exponential Expressions

#### 2.3: Introduction to Functions

Introduction to Functions

#### 2.4: Operations with Functions

Addition of Polynomials - Activity A

### 3: Systems of Linear Equations & Inequalities

#### 3.1: Solving Systems by Graphing or Substitution

Solving Linear Systems by Graphing

#### 3.2: Solving Systems by Elimination

Systems of Linear Equations - Activity A

#### 3.3: Linear Inequalities in Two Variables

Linear Inequalities in Two Variables - Activity A

#### 3.4: Systems of Linear Inequalities

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

#### 3.5: Linear Programming

Linear Programming - Activity A

### 5: Quadratic Functions

#### 5.1: Introduction to Quadratic Functions

Quadratics in Polynomial Form - Activity A

#### 5.3: Factoring Quadratic Expressions

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

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

#### 5.5: The Quadratic Formula

Roots of a Quadratic

### 6: Exponential and Logarithmic Functions

#### 6.1: Exponential Growth and Decay

Exponential Growth and Decay - Activity A

#### 6.2: Exponential Functions

Exponential Functions - Activity A

#### 6.3: Logarithmic Functions

Logarithmic Functions - Activity A

#### 6.4: Properties of Logarithmic Functions

Logarithmic Functions: Translating and Scaling

### 7: Polynomial Functions

#### 7.2: Polynomial Functions and Their Graphs

Fourth-Degree Polynomials - Activity B

#### 7.4: Solving Polynomial Equations

Dividing Polynomials Using Synthetic Division

#### 7.5: Zeros of Polynomial Functions

Polynomials and Linear Factors

### 8: Rational Functions & Radical Functions

#### 8.1: Inverse, Joint, and Combined Variation

Direct and Inverse Variation

#### 8.2: Rational Functions and Their Graphs

General Form of a Rational Function

Rational Functions

#### 8.6: Radical Expressions and Radical Functions

Functions Involving Square Roots

Operations with Radical Expressions

Radical Functions

#### 8.7: Simplifying Radical Expressions

Simplifying Radicals - Activity A

### 9: Conic Sections

#### 9.2: Parabolas

Parabolas - Activity A

#### 9.3: Circles

Circles

#### 9.4: Ellipses

Ellipse - Activity A

#### 9.5: Hyperbolas

Hyperbola - Activity A

#### 9.6: Solving Nonlinear Systems

System of Two Quadratic Inequalities

### 10: Discrete Mathematics Counting Principles and Probability

#### 10.1: Introduction to Probability

Probability Simulations

#### 10.2: Permutations

Permutations

#### 10.3: Combinations

Permutations and Combinations

#### 10.5: Independent Events

Compound Independent Events

#### 10.6: Dependent Events and Conditional Probability

Compound Independent and Dependent Events

#### 10.7: Experimental Probability and Simulation

Theoretical and Experimental Probability

### 11: Discrete Mathematics: Series and Patterns

#### 11.2: Arithmetic Sequences

Arithmetic Sequences

#### 11.4: Geometric Sequences

Geometric Sequences

### 12: Discrete Mathematics: Statistics

#### 12.1: Measures of Central Tendency

Describing Data Using Statistics

Mean, Median and Mode

#### 12.2: Stem-and-Leaf Plots, Histograms, and Circle Graphs

Histograms

Stem-and-Leaf Plots

#### 12.3: Box-and-Whisker Plots

Constructing Box-and-Whisker Plots

#### 12.5: Binomial Distributions

Populations and Samples

### 13: Trigonometric Functions

#### 13.1: Right-Triangle Trigonometry

Sine and Cosine Ratios - Activity B

#### 13.3: Trigonometric Functions of Any Angle

Unit Circle

#### 13.5: Graphing Trigonometric Functions

Cosine Function

Sine Function

Tangent Function

### 14: Further Topics in Trigonometry

#### 14.4: Sum and Difference Identities

Sum and Difference Identities for Sine and Cosine