Algebra and Trigonometry

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

R: Review

R.1: Real Numbers

 Real Number Line - Activity A

R.4: Polynomials

 Addition and Subtraction of Polynomials

R.5: Factoring Polynomials

 Factoring Special Products

R.6: Synthetic Division

 Dividing Polynomials Using Synthetic Division

1: Equations and Inequalities

1.1: Linear Functions

 Linear Functions

1.2: Quadratic Equations

 Roots of a Quadratic

1.5: Solving Inequalities

 Compound Inequalities
 Solving Inequalities Using Multiplication and Division
 Solving Linear Inequalities using Addition and Subtraction

1.6: Equations and Inequalities Involving Absolute Value

 Inequalities Involving Absolute Values

2: Graphs

2.1: The Distance and Midpoint Formulas

 Distance Formula - Activity A

2.2: Graphs of Equations in Two Variables; Intercepts; Symmetry

 Function Machines 2 (Functions, Tables, and Graphs)
 Points, Lines, and Equations

2.3: Lines

 Point-Slope Form of a Line - Activity A
 Points, Lines, and Equations
 Slope-Intercept Form of a Line - Activity A

2.4: Circles

 Circles

3: Functions and Their Graphs

3.1: Functions

 Introduction to Functions

3.2: The Graph of a Function

 Function Machines 2 (Functions, Tables, and Graphs)

3.5: Graphing Techniques: Transformations

 Translating and Scaling Functions

4: Linear and Quadratic Functions

4.1: Linear Functions and Their Properties

 Linear Functions

4.2: Linear Models: Building Linear Functions from Data

 Correlation
 Lines of Best Fit Using Least Squares - Activity A

4.3: Quadratic Functions and Their Properties

 Quadratic Functions

5: Polynomial and Rational Functions

5.1: Polynomial Functions and Models

 Cubic Function Activity
 Zap It! Game

5.2: Properties of Rational Functions

 General Form of a Rational Function
 Rational Functions

5.3: The Graph of a Rational Function

 General Form of a Rational Function
 Rational Functions

5.5: The Real Zeros of a Polynomial Function

 Dividing Polynomials Using Synthetic Division
 Polynomials and Linear Factors

6: Exponential and Logarithmic Functions

6.3: Exponential Functions

 Exponential Functions - Activity A

6.4: Logarithmic Functions

 Logarithmic Functions - Activity A

6.5: Properties of Logarithms

 Logarithmic Functions: Translating and Scaling

6.8: Exponential Growth and Decay Models; Newton's Law; Logistic Growth and Decay Models

 Dye Elimination
 Exponential Growth and Decay - Activity A
 Half-life
 Simple and Compound Interest

6.9: Building Exponential, Logarithmic, and Logistic Models from Data

 Dye Elimination
 Half-life
 Simple and Compound Interest

7: Trigonometric Functions

7.2: Right Triangle Trigonometry

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

7.3: Computing the Values of Trigonometric Functions of Acute Angles

 Sine and Cosine Ratios - Activity A

7.4: Trigonometric Functions of Any Angle

 Tangent Ratio

7.5: Unit Circle Approach; Properties of the Trigonometric Functions

 Unit Circle

7.6: Graphs of the Sine and Cosine Functions

 Cosine Function
 Sine Function

7.7: Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions

 Tangent Function

7.8: Phase Shift; Sinusoidal Curve Fitting

 Translating and Scaling Sine and Cosine Functions - Activity A

8: Analytic Trigonometry

8.4: Trigonometric Identities

 Simplifying Trigonometric Expressions

8.5: Sum and Difference Formulas

 Sum and Difference Identities for Sine and Cosine

10: Polar Coordinates; Vectors

10.1: Polar Coordinates

 Points in Polar Coordinates

10.3: The Complex Plane; De Moivre's Theorem

 Complex Numbers in Polar Form

10.4: Vectors

 Vectors

11: Analytic Geometry

11.2: The Parabola

 Parabolas - Activity A

11.3: The Ellipse

 Ellipse - Activity A

11.4: The Hyperbola

 Hyperbola - Activity A

12: Systems of Equations and Inequalities

12.1: Systems of Linear Equations: Substitution and Elimination

 Systems of Linear Equations - Activity A

12.7: Systems of Inequalities

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

12.8: Linear Programming

 Linear Programming - Activity A

13: Sequences; Induction; the Binomial Theorem

13.2: Arithmetic Sequences

 Arithmetic Sequences

13.3: Geometric Sequences; Geometric Series

 Geometric Sequences

14: Counting and Probability

14.2: Permutations and Combinations

 Permutations and Combinations

14.3: Probability

 Compound Independent Events
 Probability Simulations
 Theoretical and Experimental Probability

Content correlation last revised: 4/23/2013