Precalculus Third Edition Book Cover

## Precalculus Third Edition

### 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

### RESOURCE PAGES

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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

### ETOOLS/VIDEOS

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General eTools
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

Lesson Videos
• Lesson 3.1.1 Study Skills - Learning From Mistakes (You Tube)

### SUPPORT MATERIALS

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