Precalculus: A Graphing Approach

This correlation lists the recommended Gizmos for this textbook. Click any Gizmo title below for more information.

1: Number Patterns

1.1: Real Numbers, Relations, and Functions

 Introduction to Functions
 Linear Functions

1.2: Mathematical Patterns

 Arithmetic Sequences
 Arithmetic and Geometric Sequences
 Geometric Sequences

1.3: Arithmetic Sequences

 Arithmetic Sequences
 Arithmetic and Geometric Sequences

1.4: Lines

 Linear Functions
 Point-Slope Form of a Line - Activity A
 Slope-Intercept Form of a Line - Activity A
 Using Tables, Rules and Graphs

1.5: Linear Models

 Linear Functions
 Point-Slope Form of a Line - Activity A
 Slope-Intercept Form of a Line - Activity A
 Using Tables, Rules and Graphs

1.6: Geometric Sequences

 Arithmetic and Geometric Sequences
 Geometric Sequences

2: Equations and Inequalities

2.1: Solving Equations Graphically

 Modeling One-Step Equations - Activity A
 Modeling and Solving Two-Step Equations
 Point-Slope Form of a Line - Activity A
 Slope-Intercept Form of a Line - Activity A
 Solving Two-Step Equations

2.5: Inequalities

 Inequalities Involving Absolute Values
 Linear Inequalities in Two Variables - Activity A
 Linear Programming - Activity A
 Solving Linear Inequalities using Addition and Subtraction
 Solving Linear Inequalities using Multiplication and Division
 Systems of Linear Inequalities (Slope-intercept form) - Activity A

3: Functions and Graphs

3.1: Functions

 Introduction to Functions
 Linear Functions

3.2: Graphs of Functions

 Fourth-Degree Polynomials - Activity A
 Functions Involving Square Roots
 Quadratic and Absolute Value Functions
 Quadratics in Polynomial Form - Activity A

3.3: Quadratic Functions

 Parabolas - Activity A
 Quadratic and Absolute Value Functions
 Quadratics in Factored Form
 Quadratics in Polynomial Form - Activity A
 Roots of a Quadratic

3.4: Graphs and Transformations

 Absolute Value with Linear Functions - Activity B
 Reflections of a Linear Function
 Reflections of a Quadratic Function
 Rotations, Reflections and Translations
 Translating and Scaling Functions
 Translating and Scaling Sine and Cosine Functions - Activity A

3.6: Inverse Functions

 Logarithmic Functions - Activity A

4: Polynomial and Rational Functions

4.1: Polynomial Functions

 Cubic Function Activity
 Fourth-Degree Polynomials - Activity A

4.2: Real Zeros

 Cubic Function Activity
 Dividing Polynomials Using Synthetic Division
 Fourth-Degree Polynomials - Activity A
 Polynomials and Linear Factors

4.3: Graphs of Polynomial Functions

 Cubic Function Activity
 Fourth-Degree Polynomials - Activity A

4.4: Rational Functions

 General Form of a Rational Function
 Rational Functions

5: Exponential and Logarithmic Functions

5.2: Exponential Functions

 Exponential Functions - Activity A
 Exponential Growth and Decay - Activity B

5.3: Applications of Exponential Functions

 Exponential Functions - Activity A
 Exponential Growth and Decay - Activity B
 Half-life

5.4: Common and Natural Logarithmic Functions

 Logarithmic Functions - Activity A
 Logarithmic Functions: Translating and Scaling

5.7: Exponential, Logarithmic, and Other Models

 Exponential Functions - Activity A
 Exponential Growth and Decay - Activity B
 Half-life
 Logarithmic Functions - Activity A
 Logarithmic Functions: Translating and Scaling

6: Trigonometry

6.1: Right-Triangle Trigonometry

 Sine and Cosine Ratios - Activity A
 Sine, Cosine and Tangent
 Tangent Ratio

6.3: Angles and Radian Measure

 Unit Circle

6.4: Trigonometric Functions

 Cosine Function
 Sine Function
 Tangent Function
 Unit Circle

6.5: Basic Trigonometric Identities

 Simplifying Trigonometric Expressions
 Sum and Difference Identities for Sine and Cosine

7: Trigonometric Graphs

7.1: Graphs of the Sine, Cosine, and Tangent Functions

 Cosine Function
 Sine Function
 Tangent Function
 Unit Circle

7.3: Periodic Graphs and Amplitude

 Translating and Scaling Functions
 Translating and Scaling Sine and Cosine Functions - Activity A
 Unit Circle

7.4: Periodic Graphs and Phase Shifts

 Translating and Scaling Functions
 Translating and Scaling Sine and Cosine Functions - Activity A
 Unit Circle

9: Trigonometric Identities and Proof

9.2: Addition and Subtraction Identities

 Sum and Difference Identities for Sine and Cosine

10: Trigonometric Applications

10.3: The Complex Plane and Polar Form for Complex Numbers

 Complex Numbers in Polar Form

10.5: Vectors in the Plane

 Vectors

11: Analytic Geometry

11.1: Ellipses

 Ellipse - Activity A

11.2: Hyperbolas

 Hyperbola - Activity A

11.3: Parabolas

 Parabolas - Activity A

11.5: Polar Coordinates

 Complex Numbers in Polar Form
 Points in Polar Coordinates

13: Statistics and Probability

13.2: Measures of Center and Spread

 Box-and-Whisker Plots
 Describing Data Using Statistics
 Line Plots
 Mean, Median and Mode

13.3: Basic Probability

 Binomial Probabilities
 Geometric Probability - Activity A
 Probability Simulations

13.4: Determining Probabilities

 Binomial Probabilities
 Geometric Probability - Activity A
 Probability Simulations

Content correlation last revised: 4/12/2009