## Algebra and Trigonometry

• Author(s): Swokowski et. al.     Publisher: Brooks/Cole 2002
This correlation lists the recommended Gizmos for this textbook. Click any Gizmo title below for more information.

### 1. Fundamental Concepts of Algebra

#### 1.1. Real Numbers

Real Number Line - Activity B

Comparing and Ordering Integers

Square Roots

#### 1.3. Algebraic Expressions

Factoring Special Products

### 2. Equations and Inequalities

#### 2.1. Equations

Solving Formulas for any Variable

#### 2.2. Applied Problems

Using Algebraic Equations

#### 2.6. Inequalities

Compound Inequalities

### 3. Functions and Graphs

#### 3.1. Rectangular Coordinate Systems

Points in the Coordinate Plane - Activity B

#### 3.2. Graphs of Equations

Polynomials and Linear Factors

Cubic Function Activity

Fourth-Degree Polynomials - Activity A

#### 3.3. Lines

Slope-Intercept Form of a Line - Activity B

Point-Slope Form of a Line - Activity A

#### 3.4. Definition of Functions

Introduction to Functions

#### 3.5. Graphs of Functions

Using Tables, Rules and Graphs

#### 3.8. Inverse Functions

Logarithmic Functions - Activity B

#### 3.9. Variation

Direct and Inverse Variation

### 4. Polynomial and Rational Functions

#### 4.1. Polynomial functions of Degree Greater Than 2

Cubic Function Activity

Fourth-Degree Polynomials - Activity A

#### 4.3. Zeros of Polynomials

Dividing Polynomials Using Synthetic Division

Polynomials and Linear Factors

#### 4.5. Rational Functions

Rational Functions

General Form of a Rational Function

### 5. Exponential and Logarithmic Functions

#### 5.1. Exponential Functions

Exponential Functions - Activity A

#### 5.2. The Natural Exponential Function

Exponential Functions - Activity C

#### 5.3. Logarithmic Functions

Logarithmic Functions - Activity A

### 6. The Trigonometric Functions

#### 6.2. Trigonometric Functions of Angles

Tangent Ratio

Sine and Cosine Ratios - Activity A

Unit Circle

Sine Function

Cosine Function

Tangent Function

#### 6.5. Trigonometric Graphs

Translating and Scaling Sine and Cosine Functions - Activity A

Tangent Function

### 7. Analytic Trigonometry

#### 7.1. Verifying Trigonometric Identities

Simplifying and Verifying Trigonometric Functions

#### 7.3. The Addition and Subtraction Formulas

Sum and Difference Identities for Sine and Cosine

Vectors

Vectors

### 9. Systems of Equations and Inequalities

#### 9.2. Systems of Linear Equations in Two Variables

Systems of Linear Equations - Activity A

Solving Linear Systems by Graphing

#### 9.3. Systems of Inequalities

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

Systems of Linear Inequalities (Standard form)

#### 9.4. Linear Programming

Linear Programming - Activity A

Translations

#### 9.8. Determinants

Systems of Linear Equations - Activity B

### 10. Sequences, Series, and Probability

#### 10.2. Arithmetic Sequences

Arithmetic Sequences

#### 10.3. Geometric Sequences

Geometric Sequences

Permutations

#### 10.7. Distinguishable Permutations and Combinations

Permutations and Combinations

#### 10.8. Probability

Probability Simulations

Theoretical and Experimental Probability

Compound Independent and Dependent Events

### 11. Topics from Analytic Geometry

#### 11.1. Parabolas

Parabolas - Activity A

Parabolas - Activity B

#### 11.2. Ellipses

Ellipse - Activity A

#### 11.3. Hyperbolas

Hyperbola - Activity A

#### 11.5. Polar Coordinates

Points in Polar Coordinates

Content correlation last revised: 9/8/2008