Mathematics in Action

<p> Below is an Activity-level Table of Contents for this title. </p> <ul> <li><strong>Chapter 1. Number Sense</strong> <ul> <li><strong>Cluster 1: Introduction to Problem Solving</strong> <ul> <li>Activity 1.1 The Bookstore: Steps in Problem Solving</li> <li>Activity 1.2 The Classroom: Problem-Solving Strategies</li> <li>Activity 1.3 Properties of Arithmetic: Properties and Vocabulary for Arithmetic Calculations</li> <li>What Have I Learned?</li> <li>How Can I Practice?</li> </ul></li> <li><strong>Cluster 2: Problem Solving with Fractions and Decimals (Rational Numbers)</strong> <ul> <li>Activity 1.4 Top Chef: Operations with Fractions and Mixed Numbers</li> <li>Project Activity 1.5 Course Grades and Your GPA: Problem Solving Using Fractions and Decimals</li> <li>What Have I Learned?</li> <li>How Can I Practice?</li> </ul></li> <li><strong>Cluster 3: Comparisons and Proportional Reasoning</strong> <ul> <li>Activity 1.6 Everything Is Relative: Ratios as Fractions, Decimals, and Percents</li> <li>Activity 1.7 Antidepressant Use: Proportional Reasoning</li> <li>Activity 1.8 Who Really Did Better? Actual and Relative Change, Percent Increase and Decrease</li> <li>Activity 1.9 Going Shopping: Growth and Decay Factors</li> <li>Activity 1.10 Take an Additional 20% Off: Consecutive Growth and Decay Factors</li> <li>Activity 1.11 Fuel Economy: Rates and Unit Analysis</li> <li>What Have I Learned?</li> <li>How Can I Practice?</li> </ul></li> <li><strong>Cluster 4: Problem Solving with Signed Numbers</strong> <ul> <li>Activity 1.12 Celsius Thermometers: Addition and Subtraction of Integers</li> <li>Activity 1.13 Shedding the Extra Pounds: Multiplication and Division of Integers</li> <li>Activity 1.14 Order of Operations Revisited: Negative Exponents and Scientific Notation</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. Variable Sense</strong> <ul> <li><strong>Cluster 1: Symbolic Rules and Expressions</strong> <ul> <li>Activity 2.1 Symbolizing Arithmetic: Formulas and Algebraic Expressions</li> <li>Activity 2.2 Blood Alcohol Levels: Represent a Two-Variable Relationship Algebraically, Numerically, and Graphically</li> <li>Activity 2.3 College Expenses: Symbolic Rules</li> <li>Activity 2.4 Are They the Same? Equivalent Expressions and Grouping Symbols</li> <li>What Have I Learned?</li> <li>How Can I Practice?</li> </ul></li> <li><strong>Cluster 2: Solving Equations</strong> <ul> <li>Activity 2.5 Let’s Go Shopping: Solve an Equation Containing One Operation</li> <li>Activity 2.6 Leasing a Copier: Solve an Equation Containing Two or More Operations</li> <li>Activity 2.7 The Algebra of Weather: Solve a Formula for a Specified Variable</li> <li>Activity 2.8 Four out of Five Dentists Prefer Crest: Proportions</li> <li>What Have I Learned?</li> <li>How Can I Practice?</li> </ul></li> <li><strong>Cluster 3: More Problem Solving Using Algebra</strong> <ul> <li>Activity 2.9 Do It Two Ways: Distributive Property, Greatest Common Factor, and Combining Like Terms</li> <li>Activity 2.10 Decoding: Simplifying Algebraic Expressions</li> <li>Activity 2.11 Comparing Energy Costs: Mathematical Models, General Strategy for Solving Linear Equations</li> <li>Project Activity 2.12 Summer Job Opportunities: Problem Solving Using Linear Equations</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. Function Sense and Linear Functions</strong> <ul> <li><strong>Cluster 1: Function Sense</strong> <ul> <li>Activity 3.1 Summer Olympics: Functions, Numerical and Graphical Representation of Functions</li> <li>Activity 3.2 How Fast Did You Lose? Average Rate of Change</li> <li>Project Activity 3.3 Comparing Symbolically Defined Functions and Their Graphs</li> <li>Activity 3.4 Course Grade: Representing Functions Symbolically</li> <li>What Have I Learned?</li> <li>How Can I Practice?</li> </ul></li> <li><strong>Cluster 2: Introduction to Linear Functions</strong> <ul> <li>Activity 3.5 The Snowy Tree Cricket: Slope and Intercepts of a Line</li> <li>Activity 3.6 Software Sales: Slope-Intercept Equation of a Line</li> <li>Activity 3.7 Predicting Population: Problem Solving Using Slope-Intercept Equation of a Line</li> <li>Activity 3.8 College Tuition: Point-Slope Equation of a Line</li> <li>What Have I Learned?</li> <li>How Can I Practice?</li> </ul></li> <li><strong>Cluster 3: Linear Regression, System, and Inequalities</strong> <ul> <li>Activity 3.9 Education Pays: Line of Best Fit and Regression Lines</li> <li>Lab Activity 3.10 Body Parts: Problem Solving Using Regression Equations</li> <li>Activity 3.11 Smartphone Plan Options: Systems of Linear Equations in Two Variables</li> <li>Activity 3.12 Healthy Lifestyle: Solving a System of Linear Equations in Two Variables Using the Addition Method</li> <li>Project Activity 3.13 Modeling a Business: Problem Solving Using Systems of Linear Equations in Two Variables</li> <li>Activity 3.14 How Long Can You Live? Linear Inequalities</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. An Introduction to Nonlinear Problem Solving</strong> <ul> <li><strong>Cluster 1: Mathematical Modeling Involving Polynomials</strong> <ul> <li>Activity 4.1 Fatal Crashes: Polynomials</li> <li>Activity 4.2 Volume of a Storage Box: Properties of Exponents</li> <li>Activity 4.3 Room for Work: Operations with Polynomials</li> <li>What Have I Learned?</li> <li>How Can I Practice?</li> </ul></li> <li><strong>Cluster 2: Problem Solving with Quadratic Equations and Functions</strong> <ul> <li>Activity 4.4 The Amazing Property of Gravity: Solving Quadratic Equations</li> <li>Activity 4.5 What Goes Up, Comes Down: Quadratic Functions and Their Graphs</li> <li>Activity 4.6 How High Did It Go? Solving Quadratic Equations by Factoring</li> <li>Activity 4.7 More Ups and Downs: Solving Quadratic Equations Using the Quadratic Formula</li> <li>What Have I Learned?</li> <li>How Can I Practice?</li> </ul></li> <li><strong>Cluster 3: Other Nonlinear Functions</strong> <ul> <li>Activity 4.8 Inflation: Exponential Functions</li> <li>Activity 4.9 A Thunderstorm: Direct Variation</li> <li>Activity 4.10 Diving under Pressure, or Don‘t Hold Your Breath: Inverse Variation</li> <li>Activity 4.11 Hang Time: Square Root Functions</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> </ul> <h3>Appendices</h3> <ul> <li>A. Fractions</li> <li>B. Decimals</li> <li>C. Skills Checks</li> <li>D. Algebraic Extensions</li> <li>E. Getting Started with the TI-84 Plus Family of Calculators</li> </ul>