Mathematics in Action

<p> Below is an Activity-level Table of Contents for this title. </p> <ul> <li><strong>Chapter 1. Function Sense</strong> <ul> <li><strong>Cluster 1: Modeling with Functions</strong> <ul> <li>Activity 1.1 Parking Problems: Functions; Function Notation and Terminology</li> <li>Activity 1.2 Fill ‘er Up: Defining Functions by a Symbolic Rule (Equation)</li> <li>Activity 1.3 Graphically Speaking: Defining Functions: A Summary</li> <li>Activity 1.4 Stopping Short: Functions as Mathematical Models</li> <li>Activity 1.5 Graphs Tell Stories: Graphs of Functions as Mathematical Models</li> <li>What Have I Learned?</li> <li>How Can I Practice?</li> </ul></li> <li><strong>Cluster 2: Linear Functions</strong> <ul> <li>Activity 1.6 Walking for Fitness: Average Rate of Change</li> <li>Activity 1.7 Depreciation: Slope-Intercept Form of an Equation of a Line</li> <li>Activity 1.8 A New Camera: Point-Slope Form of an Equation of a Line</li> <li>Activity 1.9 Skateboard Heaven: General Form of an Equation of a Line</li> <li>Activity 1.10 College Tuition: Modeling Data with Linear Regression Equations</li> <li>What Have I Learned?</li> <li>How Can I Practice?</li> </ul></li> <li><strong>Cluster 3: Systems of Linear Equations, Inequalities, and Absolute Value Functions</strong> <ul> <li>Activity 1.11 Moving Out: Systems of Linear Equations in Two Variables</li> <li>Activity 1.12 Fireworks: Solving Systems of Linear Equations using Algebraic Methods</li> <li>Activity 1.13 Manufacturing Pewter Oil Lamps: Solving Systems of Linear Equations in Three Variables</li> <li>Activity 1.14 Earth Week: Using Matrices to Solve Systems of Linear Equations</li> <li>Activity 1.15 How Long Can You Live? Linear Inequalities; Compound Inequalities</li> <li>Activity 1.16 Working Overtime: Piecewise Linear Functions</li> <li>What Have I Learned?</li> <li>How Can I Practice?</li> <li>Chapter 1 Summary</li> <li>Chapter 1 Gateway Review</li> </ul></li> </ul></li> <li><strong>Chapter 2. The Algebra of Functions</strong> <ul> <li><strong>Cluster 1: Addition, Subtraction, and Multiplication of Polynomial Functions</strong> <ul> <li>Activity 2.1 Spending and Earning Money: Polynomial Functions</li> <li>Activity 2.2 The Dormitory Parking Lot: Multiplication of Polynomials; Multiplicative Properties of Exponents</li> <li>Activity 2.3 Stargazing: Scientific Notation; Additional Properties and Definitions of Exponents</li> <li>Activity 2.4 The Cube of a Square: Rational Exponents and nth Roots</li> <li>What Have I Learned?</li> <li>How Can I Practice?</li> </ul></li> <li><strong>Cluster 2: Composition and Inverses of Functions</strong> <ul> <li>Activity 2.5 Inflated Balloons: Composite Functions</li> <li>Activity 2.6 Finding a Bargain: Problem Solving and Using Composite Functions</li> <li>Activity 2.7 Study Time: Inverse Functions</li> <li>Activity 2.8 Temperature Conversions: Equations and Graphs of Inverse Functions</li> <li>What Have I Learned?</li> <li>How Can I Practice?</li> <li>Chapter 2 Summary</li> <li>Chapter 2 Gateway Review</li> </ul></li> </ul></li> <li><strong>Chapter 3. Exponential and Logarithmic Functions</strong> <ul> <li><strong>Cluster 1: Exponential Functions</strong> <ul> <li>Activity 3.1 Prince George and Dracula: Increasing Exponential Functions</li> <li>Activity 3.2 Half-Life of Drugs or Medication: Decreasing Exponential Functions</li> <li>Activity 3.3 Spotify: More Growth and Decay Factors</li> <li>Activity 3.4 Population Growth: Growth and Decay Rates; More Graphing</li> <li>Activity 3.5 Time is Money: Compound Interest and Continuous Compounding</li> <li>Activity 3.6 Continuous Growth and Decay: Problem Solving with Continuous Growth and Decay Models</li> <li>Activity 3.7 Ebola: Modeling Data with Exponential Regression Equations</li> <li>What Have I Learned?</li> <li>How Can I Practice?</li> </ul></li> <li><strong>Cluster 2: Logarithmic Functions</strong> <ul> <li>Activity 3.8 The Diameter of Spheres: Logarithmic and Exponential Forms</li> <li>Activity 3.9 Walking Speed of Pedestrians: Logarithmic Functions</li> <li>Activity 3.10 Walking Speed of Pedestrians, continued: Modeling Data with Logarithmic Regression Equations</li> <li>Activity 3.11 The Elastic Ball: Properties of Logarithms</li> <li>Activity 3.12 Changing Demographics: Solving Exponential Equations</li> <li>What Have I Learned?</li> <li>How Can I Practice?</li> <li>Chapter 3 Summary</li> <li>Chapter 3 Gateway Review</li> </ul></li> </ul></li> <li><strong>Chapter 4. Quadratic and Higher-Order Polynomial Functions</strong> <ul> <li><strong>Cluster 1: Introduction to Quadratic Functions</strong> <ul> <li>Activity 4.1 Baseball and the Willis Tower: Equations Defining Quadratic Functions</li> <li>Activity 4.2 The Shot Put: Properties of Graphs of Quadratic Functions</li> <li>Activity 4.3 Spotify: Solving Quadratic Equations Numerically and Graphically</li> <li>Activity 4.4 Sir Isaac Newton: Solving Quadratic Equations by Factoring</li> <li>Activity 4.5 Drones: Solving Quadratic Equations Using the Quadratic Formula</li> <li>Activity 4.6 Heat Index: Modeling Data with Quadratic Regression Equations</li> <li>Activity 4.7 Complex Numbers</li> <li>What Have I Learned?</li> <li>How Can I Practice?</li> </ul></li> <li><strong>Cluster 2: Curve Fitting and Higher-Order Polynomial Functions</strong> <ul> <li>Activity 4.8 The Power of Power Functions: Direct Variation Functions and Their Graphs</li> <li>Activity 4.9 Volume of a Storage Tank: Polynomial Functions and Their Graphs</li> <li>Activity 4.10 Federal Prison Population: Modeling Data with Polynomial Regression Equations</li> <li>What Have I Learned?</li> <li>How Can I Practice?</li> <li>Chapter 4 Summary</li> <li>Chapter 4 Gateway Review</li> </ul></li> </ul></li> <li><strong>Chapter 5. Rational and Radical Functions</strong> <ul> <li><strong>Cluster 1: Rational Functions</strong> <ul> <li>Activity 5.1 Speed Limits: Properties and Graphs of Functions Defined by y = k/x, k≠0</li> <li>Activity 5.2 Loudness of a Sound: Inverse Variation Functions</li> <li>Activity 5.3 Percent Markup: Rational Functions and Their Graphs</li> <li>Activity 5.4 Blood-Alcohol Levels: Solving Rational Equations</li> <li>Activity 5.5 Traffic Flow: Solving Rational Equations Using Algebraic Methods</li> <li>Activity 5.6 Electrical Circuits: Operations of Rational Expressions</li> <li>What Have I Learned?</li> <li>How Can I Practice?</li> </ul></li> <li><strong>Cluster 2: Radical Functions</strong> <ul> <li>Activity 5.7 Skydiving: Radical Functions and Their Graphs</li> <li>Activity 5.8 Falling Objects: Solving Equations Involving a Radical Expression</li> <li>Activity 5.9 Propane Tank: More Radical Functions and Their Graphs</li> <li>What Have I Learned?</li> <li>How Can I Practice?</li> <li>Chapter 5 Summary</li> <li>Chapter 5 Gateway Review</li> </ul></li> </ul></li> <li><strong>Chapter 6. Introduction to Trigonometric Functions</strong> <ul> <li><strong>Cluster 1: Introducing the Sine, Cosine, and Tangent Functions</strong> <ul> <li>Activity 6.1 The Leaning Tower of Pisa: Sine, Cosine, and Tangent of an Angle in a Right Triangle</li> <li>Activity 6.2 A Gasoline Problem: Cofunctions of Complementary Angles</li> <li>Activity 6.3 The Sidewalks of New York: Inverse Sine, Cosine, and Tangent Functions</li> <li>Activity 6.4 Solving a Murder: Trigonometric Problem-Solving Strategy</li> <li>Project Activity 6.5 How Stable is that Tower: Problem Solving Using Right Triangle Trigonometry</li> <li>What Have I Learned?</li> <li>How Can I Practice?</li> </ul></li> <li><strong>Cluster 2: Why Are the Trigonometric Functions Called Circular Functions? </strong> <ul> <li>Activity 6.6 Learn Trig or Crash! Graphs of Sine and Cosine Functions</li> <li>Activity 6.7 It Won’t Hertz: Radians, Frequency, and Periodic Behavior</li> <li>Activity 6.8 Get in Shape: Amplitude and Period of the Sine and Cosine Functions</li> <li>Activity 6.9 The Carousel: Horizontal Shifts of the Graphs of the Sine and Cosine Functions</li> <li>Activity 6.10 Texas Temperatures: Modeling Data with a Sine Regression Equation</li> <li>What Have I Learned?</li> <li>How Can I Practice?</li> <li>Chapter 6 Summary</li> <li>Chapter 6 Gateway Review</li> </ul></li> </ul></li> </ul> <h3>Appendices</h3> <ol> <li>Concept Review</li> <li>Trigonometry</li> <li>Getting Started with the TI-84 Plus Family of Calculators</li> <li>Conics (Online in MyLab Math only)</li> </ol> <p></p>