Mathematics in Action: An Introduction to Algebraic, Graphical, and Numerical Problem Solving, 6th edition

Published by Pearson (July 15, 2020) © 2020

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Mathematics in Action: An Introduction to Algebraic, Graphical, and Trigonometric Problem Solving gives you the math you encountered in high school or in previous courses, but in a new and meaningful way. An activity-based approach helps you achieve a higher level of conceptual learning, while developing a solid foundation of mathematical skills. The Mathematics in Action series is based on the authors' belief that students learn mathematics best by doing the math within a realistic context. From this perspective, they offer guided-discovery activities that help you to construct, reflect upon and apply mathematical concepts, deepening your conceptual understanding along the way. This active style of learning develops critical-thinking skills and mathematical literacy. The 6th Edition includes updated examples and activities for maximum interest and relevance.

Below is an Activity-level Table of Contents for this title.

  • 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

  • A. Fractions
  • B. Decimals
  • C. Skills Checks
  • D. Algebraic Extensions
  • E. Getting Started with the TI-84 Plus Family of Calculators

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