**CHAPTER 1. FUNCTION SENSE **

**CLUSTER 1: MODELING WITH FUNCTIONS**

Activity 1.1 Parking Problems: Functions; Function Notation and Terminology

Activity 1.2 Fill ‘er Up: Defining Functions by a Symbolic Rule (Equation)

Activity 1.3 Graphically Speaking: Defining Functions: A Summary

Activity 1.4 Stopping Short: Functions as Mathematical Models

Activity 1.5 Graphs Tell Stories: Graphs of Functions as Mathematical Models

What Have I Learned?

How Can I Practice?

**CLUSTER 2: LINEAR FUNCTIONS**

Activity 1.6 Walking for Fitness: Average Rate of Change

Activity 1.7 Depreciation: Slope-Intercept Form of an Equation of a Line

Activity 1.8 A New Camera: Point-Slope Form of an Equation of a Line

Activity 1.9 Skateboard Heaven: General Form of an Equation of a Line

Activity 1.10 College Tuition: Modeling Data with Linear Regression Equations

What Have I Learned?

How Can I Practice?

**CLUSTER 3: SYSTEMS OF LINEAR EQUATIONS, INEQUALITIES, AND ABSOLUTE VALUE FUNCTIONS**

Activity 1.11 Moving Out: Systems of Linear Equations in Two Variables

Activity 1.12 Fireworks: Solving Systems of Linear Equations using Algebraic Methods

Activity 1.13 Manufacturing Pewter Oil Lamps: Solving Systems of Linear Equations in Three Variables

Activity 1.14 Earth Week: Using Matrices to Solve Systems of Linear Equations

Activity 1.15 How Long Can You Live? Linear Inequalities; Compound Inequalities

Activity 1.16 Working Overtime: Piecewise Linear Functions

What Have I Learned?

How Can I Practice?

Chapter 1 Summary

Chapter 1 Gateway Review

**CHAPTER 2. THE ALGEBRA OF FUNCTIONS **

**CLUSTER 1: ADDITION, SUBTRACTION, AND MULTIPLICATION OF POLYNOMIAL FUNCTIONS**

Activity 2.1 Spending and Earning Money: Polynomial Functions

Activity 2.2 The Dormitory Parking Lot: Multiplication of Polynomials; Multiplicative Properties of Exponents

Activity 2.3 Stargazing: Scientific Notation; Additional Properties and Definitions of Exponents

Activity 2.4 The Cube of a Square: Rational Exponents and nth Roots

What Have I Learned?

How Can I Practice?

**CLUSTER 2: COMPOSITION AND INVERSES OF FUNCTIONS**

Activity 2.5 Inflated Balloons: Composite Functions

Activity 2.6 Finding a Bargain: Problem Solving and Using Composite Functions

Activity 2.7 Study Time: Inverse Functions

Activity 2.8 Temperature Conversions: Equations and Graphs of Inverse Functions

What Have I Learned?

How Can I Practice?

Chapter 2 Summary

Chapter 2 Gateway Review

**CHAPTER 3. EXPONENTIAL AND LOGARITHMIC FUNCTIONS **

CLUSTER 1: EXPONENTIAL FUNCTIONS

Activity 3.1 Prince George and Dracula: Increasing Exponential Functions

Activity 3.2 Half-Life of Drugs or Medication: Decreasing Exponential Functions

Activity 3.3 Spotify: More Growth and Decay Factors

Activity 3.4 Population Growth: Growth and Decay Rates; More Graphing

Activity 3.5 Time is Money: Compound Interest and Continuous Compounding

Activity 3.6 Continuous Growth and Decay: Problem Solving with Continuous Growth and Decay Models

Activity 3.7 Ebola: Modeling Data with Exponential Regression Equations

What Have I Learned?

How Can I Practice?

**CLUSTER 2: LOGARITHMIC FUNCTIONS**

Activity 3.8 The Diameter of Spheres: Logarithmic and Exponential Forms

Activity 3.9 Walking Speed of Pedestrians: Logarithmic Functions

Activity 3.10 Walking Speed of Pedestrians, continued: Modeling Data with Logarithmic Regression Equations

Activity 3.11 The Elastic Ball: Properties of Logarithms

Activity 3.12 Changing Demographics: Solving Exponential Equations

What Have I Learned?

How Can I Practice?

Chapter 3 Summary

Chapter 3 Gateway Review

**CHAPTER 4. QUADRATIC AND HIGHER-ORDER POLYNOMIAL FUNCTIONS **

**CLUSTER 1: INTRODUCTION TO QUADRATIC FUNCTIONS**

Activity 4.1 Baseball and the Willis Tower: Equations Defining Quadratic Functions

Activity 4.2 The Shot Put: Properties of Graphs of Quadratic Functions

Activity 4.3 Spotify: Solving Quadratic Equations Numerically and Graphically

Activity 4.4 Sir Isaac Newton: Solving Quadratic Equations by Factoring

Activity 4.5 Drones: Solving Quadratic Equations Using the Quadratic Formula

Activity 4.6 Heat Index: Modeling Data with Quadratic Regression Equations

Activity 4.7 Complex Numbers

What Have I Learned?

How Can I Practice?

**CLUSTER 2: CURVE FITTING AND HIGHER-ORDER POLYNOMIAL FUNCTIONS**

Activity 4.8 The Power of Power Functions: Direct Variation Functions and Their Graphs

Activity 4.9 Volume of a Storage Tank: Polynomial Functions and Their Graphs

Activity 4.10 Federal Prison Population: Modeling Data with Polynomial Regression Equations

What Have I Learned?

How Can I Practice?

Chapter 4 Summary

Chapter 4 Gateway Review

**CHAPTER 5. RATIONAL AND RADICAL FUNCTIONS **

**CLUSTER 1: RATIONAL FUNCTIONS**

Activity 5.1 Speed Limits: Properties and Graphs of Functions Defined by y = k/x, k≠0

Activity 5.2 Loudness of a Sound: Inverse Variation Functions

Activity 5.3 Percent Markup: Rational Functions and Their Graphs

Activity 5.4 Blood-Alcohol Levels: Solving Rational Equations

Activity 5.5 Traffic Flow: Solving Rational Equations Using Algebraic Methods

Activity 5.6 Electrical Circuits: Operations of Rational Expressions

What Have I Learned?

How Can I Practice?

**CLUSTER 2: RADICAL FUNCTIONS**

Activity 5.7 Skydiving: Radical Functions and Their Graphs

Activity 5.8 Falling Objects: Solving Equations Involving a Radical Expression

Activity 5.9 Propane Tank: More Radical Functions and Their Graphs

What Have I Learned?

How Can I Practice?

Chapter 5 Summary

Chapter 5 Gateway Review

**CHAPTER 6. INTRODUCTION TO TRIGONOMETRIC FUNCTIONS **

**CLUSTER 1: INTRODUCING THE SINE, COSINE, AND TANGENT FUNCTIONS**

Activity 6.1 The Leaning Tower of Pisa: Sine, Cosine, and Tangent of an Angle in a Right Triangle

Activity 6.2 A Gasoline Problem: Cofunctions of Complementary Angles

Activity 6.3 The Sidewalks of New York: Inverse Sine, Cosine, and Tangent Functions

Activity 6.4 Solving a Murder: Trigonometric Problem-Solving Strategy

Project Activity 6.5 How Stable is that Tower: Problem Solving Using Right Triangle Trigonometry

What Have I Learned?

How Can I Practice?

**CLUSTER 2: WHY ARE THE TRIGONOMETRIC FUNCTIONS CALLED CIRCULAR FUNCTIONS?**

Activity 6.6 Learn Trig or Crash! Graphs of Sine and Cosine Functions

Activity 6.7 It Won’t Hertz: Radians, Frequency, and Periodic Behavior

Activity 6.8 Get in Shape: Amplitude and Period of the Sine and Cosine Functions

Activity 6.9 The Carousel: Horizontal Shifts of the Graphs of the Sine and Cosine Functions

Activity 6.10 Texas Temperatures: Modeling Data with a Sine Regression Equation

What Have I Learned?

How Can I Practice?

Chapter 6 Summary

Chapter 6 Gateway Review

**APPENDICES**

Concept Review

Trigonometry

Getting Started with the TI-84 Plus Family of Calculators

Conics (Online in MyLab Math only)