Precalculus Third Edition
Additional Textbook Resources
TEACHER RESOURCES
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Chapter 1: Preparing for Your Journey
Opening | 1.OP | Chapter Opening |
Section 1.1 | 1.1.1 | Interpreting Graphs |
1.1.2 | The Spring Problem | |
1.1.3 | Modeling with Functions | |
1.1.4 | Rates of Change | |
1.1.5 | Setting Up Word Problems | |
1.1.6 | Equivalent Expressions | |
Section 1.2 | 1.2.1 | Composition of Functions |
1.2.2 | Inverse Functions | |
1.2.3 | Piecewise-Defined Functions and Continuity | |
Section 1.3 | 1.3.1 | Radians as a Unit of Measure |
1.3.2 | Radian Measure in the Unit Circle | |
1.3.3 | Applications of Radian Measure | |
Closure | 1.CL | Chapter Closure |
Chapter 2: Functions and Trigonometry
Opening | 2.OP | Chapter Opening |
Section 2.1 | 2.1.1 | Characteristics of Functions |
2.1.2 | Even and Odd Functions | |
2.1.3 | Transformations of Functions | |
Section 2.2 | 2.2.1 | Special Angles in the Unit Circle |
2.2.2 | Trigonometric Ratios in the Unit Circle | |
2.2.3 | Graphs of Sine and Cosine | |
2.2.4 | Transformations of Sine and Cosine | |
2.2.5 | Horizontal Stretches of Sine and Cosine Graphs | |
Section 2.3 | 2.3.1 | Solving Trigonometric Equations |
2.3.2 | Inverse Sine and Cosine | |
2.3.3 | Graphs of Tangent and Inverse Tangent | |
Closure | 2.CL | Chapter Closure |
Chapter 3: Algebra and Area Under a Curve
Opening | 3.OP | Chapter Opening |
Section 3.1 | 3.1.1 | Operations with Rational Expressions |
3.1.2 | Rewriting Expressions and Equations | |
3.1.3 | Solving Nonlinear Systems of Equations | |
3.1.4 | Polynomial Division | |
3.1.5 | Solving Classic Word Problems | |
Section 3.2 | 3.2.1 | Using Sigma Notation |
3.2.2 | Area Under a Curve: Part One | |
3.2.3 | Area Under a Curve: Part Two | |
3.2.4 | Area Under a Curve: Part Three | |
Closure | 3.CL | Chapter Closure |
Chapter 4: Polynomial and Rational Functions
Opening | 4.OP | Chapter Opening |
Section 4.1 | 4.1.1 | Graphs of Polynomial Functions in Factored Form |
4.1.2 | Writing Equations of Polynomial Functions | |
4.1.3 | Identifying and Using Roots of Polynomials | |
Section 4.2 | 4.2.1 | Graphing Transformations of y = 1/x |
4.2.2 | Graphing Rational Functions | |
4.2.3 | Graphing Reciprocal Functions | |
Section 4.3 | 4.3.1 | Polynomial and Rational Inequalities |
4.3.2 | Applications of Polynomial and Rational Functions | |
Closure | 4.CL | Chapter Closure |
Chapter 5: Exponentials and Logarithms
Opening | 5.OP | Chapter Opening |
Section 5.1 | 5.1.1 | Applications of Exponential Functions |
5.1.2 | Stretching Exponential Functions | |
5.1.3 | The number e | |
Section 5.2 | 5.2.1 | Logarithms |
5.2.2 | Properties of Logarithms | |
5.2.3 | Solving Exponential and Logarithmic Equations | |
5.2.4 | Graphing Logarithmic Functions | |
5.2.5 | Applications of Exponentials and Logarithms | |
Closure | 5.CL | Chapter Closure |
Chapter 6: Triangles and Vectors
Opening | 6.OP | Chapter Opening |
Section 6.1 | 6.1.1 | The Law of Sines and Area |
6.1.2 | Law of Cosines | |
6.1.3 | The Ambiguous Case of the Law of Sines | |
Section 6.2 | 6.2.1 | An Introduction to Vectors |
6.2.2 | Operations with Vectors | |
6.2.3 | Applications of Vectors | |
6.2.4 | The Dot Product | |
Closure | 6.CL | Chapter Closure |
Chapter 7: Limits and Rates
Opening | 7.OP | Chapter Opening |
Section 7.1 | 7.1.1 | An Introduction to Limits |
7.1.2 | Working With One-Sided Limits | |
7.1.3 | The Definition of a Limit | |
7.1.4 | Limits and Continuity | |
7.1.5 | Special Limits | |
Section 7.2 | 7.2.1 | Rates of Change From Data |
7.2.2 | Slope and Rates of Change | |
7.2.3 | Average Velocity and Rates of Change | |
7.2.4 | Moving From AROC to IROC | |
7.2.5 | Rate of Change Applications | |
Closure | 7.CL | Chapter Closure |
Chapter 8: Extending Periodic Functions
Opening | 8.OP | Chapter Opening |
Section 8.1 | 8.1.1 | Graphing y = asin(b(x – h)) + k |
8.1.2 | Modeling With Periodic Functions | |
8.1.3 | Improving the Spring Problem | |
Section 8.2 | 8.2.1 | Graphing Reciprocal Trigonometric Functions |
8.2.2 | Trigonometric Functions, Geometrically (optional) | |
Section 8.3 | 8.3.1 | Simplifying Trigonometric Expressions |
8.3.2 | Proving Trigonometric Identities | |
8.3.3 | Angle Sum and Difference Identities | |
8.3.4 | Double-Angle and Half-Angle Identities | |
8.3.5 | Solving Complex Trigonometric Equations | |
Closure | 8.CL | Chapter Closure |
Chapter 9: Matrices
Opening | 9.OP | Chapter Opening |
Section 9.1 | 9.1.1 | Introduction to Matrices |
9.1.2 | Matrix Multiplication | |
9.1.3 | Determinants and Inverse Matrices | |
9.1.4 | Solving Systems Using Matrix Equations | |
Section 9.2 | 9.2.1 | Linear Transformations |
9.2.2 | Compositions of Transformations | |
9.2.3 | Properties of Linear Transformations | |
Closure | 9.CL | Chapter Closure |
Chapter 10: Conics and Parametric Functions
Opening | 10.OP | Chapter Opening |
Section 10.1 | 10.1.1 | Circles and Completing the Square |
10.1.2 | Ellipses | |
10.1.3 | Hyperbolas | |
10.1.4 | Parabolas | |
10.1.5 | Identifying Conic Sections | |
Section 10.2 | 10.2.1 | Parametrically-Defined Functions |
10.2.2 | Applications of Parametric-Defined Functions | |
10.2.3 | Conic Sections in Parametric Form | |
Closure | 10.CL | Chapter Closure |
Chapter 11: Polar Functions and Complex Numbers
Opening | 11.OP | Chapter Opening |
Section 11.1 | 11.1.1 | Plotting Polar Coordinates |
11.1.2 | Graphs of Polar Functions | |
11.1.3 | Families of Polar Functions | |
11.1.4 | Converting Between Polar and Rectangular Forms | |
Section 11.2 | 11.2.1 | Using the Complex Plane |
11.2.2 | Operations with Complex Numbers Geometrically | |
11.2.3 | Polar Form of Complex Numbers | |
11.2.4 | Operations with Complex Numbers in Polar Form | |
11.2.5 | Powers and Roots of Complex Numbers | |
Closure | 11.CL | Chapter Closure |
Chapter 12: Series and Statistics
Opening | 12.OP | Chapter Opening |
Section 12.1 | 12.1.1 | Arithmetic Series |
12.1.2 | Geometric Series | |
12.1.3 | Infinite Geometric Series | |
12.1.4 | Applications of Geometric Series | |
12.1.5 | The Sum of the Harmonic Series (optional) | |
Section 12.2 | 12.2.1 | The Binomial Theorem |
12.2.2 | Binomial Probabilities | |
Section 12.3 | 12.3.1 | Expected Value of a Discrete Random Variable |
12.3.2 | Expected Value and Decision Making | |
Closure | 12.CL | Chapter Closure |
Chapter 13: Precalculus Finale
Opening | 13.OP | Chapter Opening |
Section 13.1 | 13.1.1 | A Race to Infinity |
13.1.2 | Limits to Infinity | |
13.1.3 | Evaluating Limits at a Point Algebraically | |
13.1.4 | Another Look at e | |
Section 13.2 | 13.2.1 | Trapping Area With Trapezoids |
13.2.2 | Area as a Function | |
13.2.2A | Going all to Pieces: Writing an Area Program | |
13.2.3 | Rocket Launch | |
Section 13.3 | 13.3.1 | Velocity and Position Graphs |
13.3.2 | Instantaneous Velocity | |
13.3.3 | Slope Functions | |
13.3.4 | The Definition of Derivative | |
13.3.5 | Slope and Area Under a Curve | |
Closure | 13.CL | Chapter Closure |
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Chapter 1: Preparing for Your Journey
Chapter 2: Functions and Trigonometry
Chapter 3: Algebra and Area Under a Curve
Chapter 4: Polynomial and Rational Functions
Chapter 5: Exponentials and Logarithms
Chapter 6: Triangles and Vectors
Chapter 7: Limits and Rates
Chapter 8: Extending Periodic Functions
Chapter 9: Matrices
Chapter 10: Conics and Parametric Functions
Chapter 11: Polar Functions and Complex Numbers
Chapter 12: Series and Statistics
Chapter 13: Precalculus Finale
Transformations of Functions Checkpoint
Graphs of Trigonometric Functions Checkpoint
Rational Expressions and Complex Fractions Checkpoint
Polynomial Functions Checkpoint
Rational Functions Checkpoint
Solving Equations with Exponents Checkpoint
Solving Logarithmic Equations Checkpoint
Solving Triangles Checkpoint
Vector Operations Checkpoint
Limits Checkpoint
Rates of Change Checkpoint
Trigonometric Expressions and Identities Checkpoint
Operations with Matrices Checkpoint
Parametrically-Defined Functions Checkpoint
Polar Equations Checkpoint
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General eTools
- Desmos Graphing Calculator (Desmos)
- Desmos Accessibility (Desmos)
- Algebra tiles (CPM)
Chapter 1: Preparing for Your Journey
- Lesson 1.1.2: Sample Spring Data eTool (Desmos)
- Lesson 1.1.3: Dirt Bike Course Activity (Desmos)
- Lesson 1.2.1: Student eTool (Desmos)
- Lesson 1.3.3: Circular Track eTool (Desmos)
Chapter 2: Functions and Trigonometry
- Lesson 2.1.1: Describe this Function eTool (Desmos)
- Lesson 2.1.2: Fireworks eTool (Desmos)
- Lesson 2.3.2: Sine and Inverse Sine eTool (Desmos)
- Lesson 2.3.2: Explanation Graph eTool (Desmos)
Chapter 3: Algebra and Area Under a Curve
- Lesson 3.1.2: 3-36 Student eTool (Desmos)
Chapter 4: Polynomial and Rational Functions
Chapter 5: Exponentials and Logarithms
Chapter 6: Triangles and Vectors
Chapter 7: Limits and Rates
Chapter 8: Extending Periodic Functions
Chapter 9: Matrices
Chapter 10: Conics and Parametric Functions
- Lesson 10.1.1: Algebra tiles (CPM)
- Lesson 10.1.2: Ellipse eTool (Desmos)
- Lesson 10.1.2: Algebra tiles (CPM)
- Lesson 10.1.3: Hyperbola eTool (Desmos)
- Lesson 10.2.1: Does the fox catch the rabbit? eTool (Desmos)
- Lesson 10.2.2: Oyster Shell updated (ft/s) eTool (Desmos)
- Lesson 10.2.2: 10-123 Student eTool (Desmos)
- Lesson 10.2.2: Gum on Bicycle Wheel eTool (Desmos)
- Lesson Closure: Spinning Cups Ride eTool (Desmos)
Chapter 11: Polar Functions and Complex Numbers
Chapter 12: Series and Statistics
Chapter 13: Precalculus Finale