### 1. An Introduction to Algebra

#### 1.1. Describing Numerical Relationships

Using Tables, Rules and Graphs

#### 1.2. The Real Numbers

Real Number Line - Activity B

#### 1.3. Exponents and Order of Operations

Order of Operations

#### 1.4. Algebraic Expressions

Using Algebraic Expressions

#### 1.5. Solving Equations

Modeling One-Step Equations - Activity B

### 2. Real Numbers, Equations, and Inequalities

#### 2.1. Adding and Subtracting Real Numbers

Adding and Subtracting Integers

#### 2.3. Order of Operations and Evaluating Algebraic Expressions

Order of Operations

#### 2.5. Solving Equations

Modeling One-Step Equations - Activity B

Solving Two-Step Equations

Modeling and Solving Two-Step Equations

#### 2.6. Formulas

Solving Formulas for any Variable

#### 2.8. Inequalities

Compound Inequalities

Solving Linear Inequalities using Addition and Subtraction

Solving Linear Inequalities using Multiplication and Division

### 3. Graphs, Linear Equations, and Functions

#### 3.1. Graphing using the Rectangular Coordinate System

Points in the Coordinate Plane - Activity B

#### 3.2. Equations Containing Two Variables

Using Tables, Rules and Graphs

#### 3.3. Graphing Linear Equations

Line Plots

#### 3.4. Rate of Change and the Slope of a Line

Slope - Activity A

#### 3.5. Describing Linear Relationships

Slope-Intercept Form of a Line - Activity A

#### 3.6. Writing Linear Equations

Point-Slope Form of a Line - Activity A

#### 3.7. Functions

Introduction to Functions

### 4. Exponents and Polynomials

#### 4.4. Polynomials and Polynomial Functions

Fourth-Degree Polynomials - Activity A

Cubic Function Activity

#### 4.5. Adding and Subtracting Polynomials

Addition of Polynomials - Activity B

#### 4.7. Dividing Polynomials by Monomials

Dividing Exponential Expressions

#### 4.8. Dividing Polynomials by Polynomials

Dividing Polynomials Using Synthetic Division

### 5. Factoring and Quadratic Equations

#### 5.1. Factoring out the Greatest Common Factor and Factoring by Grouping

Factoring Special Products

#### 5.2. Factoring the Difference of Two Squares

Factoring Special Products

#### 5.3. Factoring Trinomials

Factoring Special Products

Quadratics in Factored Form

#### 5.4. Quadratic Equations

Minimize Perimeter

#### 5.5. The Quadratic Formula

Roots of a Quadratic

#### 5.6. Graphing Quadratic Functions

Quadratic Functions

Quadratics in Polynomial Form - Activity A

Parabolas - Activity A

Roots of a Quadratic

Quadratics in Vertex Form - Activity A

### 6. Proportion and Rational Expressions

#### 6.1. Ratios

Part:Part and Part:Whole Ratios

#### 6.2. Proportions and Similar Triangles

Beam to Moon (Ratios and Proportions)

Estimating Population Size

Proportions and Common Multipliers

#### 6.3. Rational Expressions and Rational Functions

Rational Functions

General Form of a Rational Function

#### 6.4. Multiplying and Dividing Rational Expressions

General Form of a Rational Function

#### 6.5. Adding and Subtracting Rational Expressions

General Form of a Rational Function

### 7. Solving Systems of Equations and Inequalities

#### 7.1. Solving Systems of Equations by Graphing

Solving Linear Systems by Graphing

#### 7.3. Solving Systems of Equations by Addition

Systems of Linear Equations - Activity B

#### 7.4. Applications of Systems of Equations

Modeling Linear Systems - Activity B

#### 7.5. Graphing Linear Inequalities

Linear Inequalities in Two Variables - Activity A

#### 7.6. Solving Systems of Linear Inequalities

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

Systems of Linear Inequalities (Standard form)

### 8. More Equations, Inequalities and Factoring

#### 8.1. Review of Equations and Inequalities

Solving Two-Step Equations

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

Inequalities Involving Absolute Values

#### 8.6. Review of Linear Functions

Slope - Activity A

Slope-Intercept Form of a Line - Activity A

#### 8.7. Variation

Direct and Inverse Variation

### 9. Radicals and Rational Exponents

#### 9.1. Radical Expressions and Radical Functions

Radical Functions

Fractions with Unlike Denominators

#### 9.4. Simplifying and Combining Radical Expressions

Operations with Radical Expressions

Simplifying Radicals - Activity A

#### 9.5. Multiplying and Dividing Radial Expressions

Simplifying Radicals - Activity A

### 10. Quadratic Equations, Functions, and Inequalities

#### 10.2. The Quadratic Formula

Roots of a Quadratic

#### 10.3. Quadratic Functions and Their Graphs

Roots of a Quadratic

Quadratic Functions

Quadratics in Polynomial Form - Activity A

Parabolas - Activity A

Quadratics in Vertex Form - Activity A

#### 10.4. Complex Numbers

Roots of a Quadratic

#### 10.5. The Discriminant and Equations That Can Be Written in Quadratic Form

Roots of a Quadratic

#### 10.6. Quadratic and Other Nonlinear Inequalities

Quadratic Inequalities - Activity A

### 11. Exponential and Logarithmic Functions

#### 11.2. Inverses of Functions

Logarithmic Functions - Activity B

#### 11.3. Exponential Functions

Exponential Functions - Activity A

#### 11.4. Base-e Exponential Functions

Exponential Functions - Activity C

#### 11.5. Logarithmic Functions

Logarithmic Functions - Activity A

#### 11.6. Base-e Logarithms

Logarithmic Functions - Activity A

Logarithmic Functions - Activity B

### 12. More on Systems of Equations

#### 12.1. Solving Systems with Two Variables

Systems of Linear Equations - Activity B

### 13. Conic Sections; More Graphing

#### 13.1. The Circle and the Parabola

Circles

Parabolas - Activity A

#### 13.2. The Ellipse

Ellipse - Activity A

#### 13.3. The Hyperbola

Hyperbola - Activity A

#### 13.4. Solving Simultaneous Second-Degree Equations

System of Two Quadratic Inequalities

### 14. Miscellaneous Topics

#### 14.2. Arithmetic Sequences

Arithmetic Sequences

#### 14.3. Geometric Sequences

Geometric Sequences

#### 14.4. Permutations and Combinations

Permutations and Combinations

#### 14.5. Probability

Probability Simulations