Chapter 1. Number Sense

Cluster 1: Introduction to Problem Solving

Activity 1.1 The Bookstore: Steps in Problem Solving

Activity 1.2 The Classroom: Problem-Solving Strategies

Activity 1.3 Properties of Arithmetic: Properties and Vocabulary for Arithmetic Calculations

What Have I Learned?

How Can I Practice?

Cluster 2: Problem Solving with Fractions and Decimals (Rational Numbers)

Activity 1.4 Top Chef: Operations with Fractions and Mixed Numbers

Project Activity 1.5 Course Grades and Your GPA: Problem Solving Using Fractions and Decimals

What Have I Learned?

How Can I Practice?

Cluster 3: Comparisons and Proportional Reasoning

Activity 1.6 Everything Is Relative: Ratios as Fractions, Decimals, and Percents

Activity 1.7 Antidepressant Use: Proportional Reasoning

Activity 1.8 Who Really Did Better? Actual and Relative Change, Percent Increase and Decrease

Activity 1.9 Going Shopping: Growth and Decay Factors

Activity 1.10 Take an Additional 20% Off: Consecutive Growth and Decay Factors

Activity 1.11 Fuel Economy: Rates and Unit Analysis

What Have I Learned?

How Can I Practice?

Cluster 4: Problem Solving with Signed Numbers

Activity 1.12 Celsius Thermometers: Addition and Subtraction of Integers

Activity 1.13 Shedding the Extra Pounds: Multiplication and Division of Integers

Activity 1.14 Order of Operations Revisited: Negative Exponents and Scientific Notation

What Have I Learned?

How Can I Practice?

Chapter 1 Summary

Chapter 1 Gateway Review

Chapter 2. Variable Sense

Cluster 1: Symbolic Rules and Expressions

Activity 2.1 Symbolizing Arithmetic: Formulas and Algebraic Expressions

Activity 2.2 Blood Alcohol Levels: Represent a Two-Variable Relationship Algebraically, Numerically, and Graphically

Activity 2.3 College Expenses: Symbolic Rules

Activity 2.4 Are They the Same? Equivalent Expressions and Grouping Symbols

What Have I Learned?

How Can I Practice?

Cluster 2: Solving Equations

Activity 2.5 Let’s Go Shopping: Solve an Equation Containing One Operation

Activity 2.6 Leasing a Copier: Solve an Equation Containing Two or More Operations

Activity 2.7 The Algebra of Weather: Solve a Formula for a Specified Variable

Activity 2.8 Four out of Five Dentists Prefer Crest: Proportions

What Have I Learned?

How Can I Practice?

Cluster 3: More Problem Solving Using Algebra

Activity 2.9 Do It Two Ways: Distributive Property, Greatest Common Factor, and Combining Like Terms

Activity 2.10 Decoding: Simplifying Algebraic Expressions

Activity 2.11 Comparing Energy Costs: Mathematical Models, General Strategy for Solving Linear Equations

Project Activity 2.12 Summer Job Opportunities: Problem Solving Using Linear Equations

What Have I Learned?

How Can I Practice?

Chapter 2 Summary

Chapter 2 Gateway Review

Chapter 3. Function Sense and Linear Functions

Cluster 1: Function Sense

Activity 3.1 Summer Olympics: Functions, Numerical and Graphical Representation of Functions

Activity 3.2 How Fast Did You Lose? Average Rate of Change

Project Activity 3.3 Comparing Symbolically Defined Functions and Their Graphs

Activity 3.4 Course Grade: Representing Functions Symbolically

What Have I Learned?

How Can I Practice?

Cluster 2: Introduction to Linear Functions

Activity 3.5 The Snowy Tree Cricket: Slope and Intercepts of a Line

Activity 3.6 Software Sales: Slope-Intercept Equation of a Line

Activity 3.7 Predicting Population: Problem Solving Using Slope-Intercept Equation of a Line

Activity 3.8 College Tuition: Point-Slope Equation of a Line

What Have I Learned?

How Can I Practice?

Cluster 3: Linear Regression, System, and Inequalities

Activity 3.9 Education Pays: Line of Best Fit and Regression Lines

Lab Activity 3.10 Body Parts: Problem Solving Using Regression Equations

Activity 3.11 Smartphone Plan Options: Systems of Linear Equations in Two Variables

Activity 3.12 Healthy Lifestyle: Solving a System of Linear Equations in Two Variables Using the Addition Method

Project Activity 3.13 Modeling a Business: Problem Solving Using Systems of Linear Equations in Two Variables

Activity 3.14 How Long Can You Live? Linear Inequalities

What Have I Learned?

How Can I Practice?

Chapter 3 Summary

Chapter 3 Gateway Review

Chapter 4. An Introduction to Nonlinear Problem Solving

Cluster 1: Mathematical Modeling Involving Polynomials

Activity 4.1 Fatal Crashes: Polynomials

Activity 4.2 Volume of a Storage Box: Properties of Exponents

Activity 4.3 Room for Work: Operations with Polynomials

What Have I Learned?

How Can I Practice?

Cluster 2: Problem Solving with Quadratic Equations and Functions

Activity 4.4 The Amazing Property of Gravity: Solving Quadratic Equations

Activity 4.5 What Goes Up, Comes Down: Quadratic Functions and Their Graphs

Activity 4.6 How High Did It Go? Solving Quadratic Equations by Factoring

Activity 4.7 More Ups and Downs: Solving Quadratic Equations Using the Quadratic Formula

What Have I Learned?

How Can I Practice?

Cluster 3: Other Nonlinear Functions

Activity 4.8 Inflation: Exponential Functions

Activity 4.9 A Thunderstorm: Direct Variation

Activity 4.10 Diving under Pressure, or Don‘t Hold Your Breath: Inverse Variation

Activity 4.11 Hang Time: Square Root Functions

What Have I Learned?

How Can I Practice?

Chapter 4 Summary

Chapter 4 Gateway Review

Appendices

Appendix A: Fractions

Appendix B: Decimals

Appendix C: Skills Checks

Appendix D: Algebraic Extensions

Appendix E: Getting Started with the TI-84 Plus Family of Calculators