Glencoe Precalculus Student Edition

Chapter 0 Preparing for Precalculus

0-1 Sets

0-2 Operations with Complex Numbers

0-3 Quadratic Functions and Equations

0-4 nth Roots and Real Exponents

0-5 Systems of Linear Equations and Inequalities

0-6 Matrix Operations

0-7 Probability with Permutations and Combinations

0-8 Statistics

Chapter 1 Functions from a Calculus Perspective

1-1 Functions

1-2 Analyzing Graphs of Function and Relations

1-3 Continuity, End Behavior, and Limits

1-4 Extrema and Average Rates of Change

1-5 Parent Functions and Transformations

Extend 1-5 Graphing Technology Lab: Nonlinear Inequalities

1-6 Function Operations and Composition of Functions

1-7 Inverse Relations and Functions

Extend 1-7 Graphing Technology Lab: Graphing Inverses Using Parametric Equations

Chapter 2 Power, Polynomials, and Rational Functions

2-1 Power and Radical Functions

Explore 2-2 Graphing Technology Lab: Behavior and Graphs

2-2 Polynomial Functions

Extend 2-2 Graphing Technology Lab: Hidden Behavior in Graphs

2-3 The Remainder and Factor Theorems

2-4 Zeros of Polynomial Functions

2-5 Rational Functions

2-6 Nonlinear Inequalities

Chapter 3 Exponential and Logarithmic Functions

3-1 Exponential Functions

Extend 3-1 Graphing Technology Lab: Financial Literacy: Exponential Functions

3-2 Logarithmic Functions

3-3 Properties of Logarithms

3-4 Exponential and Logarithmic Equations

Extend 3-4 Graphing Technology Lab: Exponential and Logarithmic Inequalities

3-5 Modeling with Nonlinear Regression

Chapter 4 Trigonometric Functions

4-1 Right Triangle Trigonometry

4-2 Degrees and Radians

4-3 Trigonometric Functions on the Unit Circle

Explore 4-4 Graphing Technology Lab: Graphing the Sine Function Parametrically

4-4 Graphing Sine and Cosine Functions

Extend 4-4 Graphing Technology Lab: Sums and Differences of Sinusoids

4-5 Graphing Other Trigonometric Functions

4-6 Inverse Trigonometric Functions

4-7 The Law of Sines and the Law of Cosines

Chapter 5 Trigonometric Identities and Equations

5-1 Trigonometric Identities

5-2 Verifying Trigonometric Identities

5-3 Solving Trigonometric Equations

Extend 5-3 Graphing Technology Lab: Solving Trigonometric Inequalities

5-4 Sum and Difference Identities

Extend 5-4 Graphing Technology Lab: Reduction Identities

5-5 Multiple-Angle and Product-to-Sum Identities

Chapter 6 Systems of Equations and Matrices

6-1 Multivariable Linear Systems and row Operations

6-2 Matrix Multiplication, Inverses, and Determinants

Extend 6-2 Graphing Technology Lab: Determinants and Areas of Polygons

6-3 Solving Linear Systems Using Inverses and Cramer’s Rule

Extend 6-3 Graphing Technology Lab: Matrices and Cryptography

6-4 Partial Fractions

6-5 Linear Optimization

Chapter 7 Conic Sections and Parametric Equations

7-1 Parabolas

7-2 Ellipses and Circles

7-3 Hyperbolas

7-4 Rotations of Conic Sections

Extend 7-4 Graphing Technology Lab: Systems of Nonlinear Equations and Inequalities

7-5 Parametric Equations

Extend 7-5 Graphing Technology Lab: Modeling with Parametric Equations

Chapter 8 Vectors

8-1 Introduction to Vectors

8-2 Vectors in the Coordinate Plane

8-3 Dot Products and Vector Projections

8-4 Vectors in Three-Dimensional Space

Extend 8-4 Graphing Technology Lab: Vector Transformations with Matrices

8-5 Dot and Cross Products of Vectors in Space

Chapter 9 Polar Coordinates and Complex Numbers

9-1 Polar Coordinates

Extend 9-1 Graphing Technology Lab: Investigate Graphs of Polar Equations

9-2 Graphs of Polar Equations

9-3 Polar and Rectangular Forms of Equations

9-4 Polar Forms of Conic Sections

9-5 Complex Numbers and De Moivre’s Theorem

Chapter 10 Sequences and Series

10-1 Sequences, Series, and Sigma Notation

10-2 Arithmetic Sequences and Series

10-3 Geometric Sequences and Series

Extend 10-3 Graphing Technology Lab: Continues Fractions

10-4 Mathematical Induction

10-5 The Binomial Theorem

10-6 Functions as infinite Series

Extend 10-6 Spreadsheet Lab: Detecting Patterns in Data

Chapter 11 Inferential Statistics

11-1 Descriptive Statistics

11-2 Probability Distributions

11-3 The Normal Distribution

Extend 11-3 Graphing Technology Lab: Transforming Skewed Data

11-4 The Central Limit Theorem

11-5 Confidence Intervals

11-6 Hypothesis Testing

11-7 Correlations and Linear Regression

Extend 11-7 Graphing Technology Lab: Median-Fit Lines

Chapter 12 Limits and Derivatives

12-1 Estimating Limits Graphically

12-2 Evaluating Limits Algebraically

Explore12-3 Graphing Technology Lab: The Slope of a Curve

12-3 Tangent Lines and Velocity

12-4 Derivatives

12-5 Area Under a Curve and Integration

12-6 The fundamental Theorem of Calculus

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