• Preface
• Acknowledgments
• Prologue: Literacy for the Modern World

I. LOGIC AND PROBLEM SOLVING

• Thinking Critically
  • Activity: Bursting Bubble
  • 1A. Living in the Media Age
    • In Your World: Fact Checking on the Web
  • 1B. Propositions and Truth Values
  • 1C. Sets and Venn Diagrams
    • Brief Review: Sets of Numbers
  • 1D. Analyzing Arguments
    • Mathematical Insight: Deductive Proof of the Pythagorean Theorem
  • 1E. Critical Thinking in Everyday Life
    • In Your World: Beware of "Up to" Deals
• Approaches to Problem Solving
  • Activity: Global Melting
  • 2A. Understand, Solve, and Explain
    • Brief Review: Common Fractions
    • Brief Review: Decimal Fractions
    • Using Technology: Currency Exchange Rates
    • In Your World: Changing Money in Foreign Countries
  • 2B. Extending Unit Analysis
    • In Your World: Gems and Gold Jewelry
    • Brief Review: Powers of 10
    • Using Technology: Metric Conversions
    • In Your World: Save Money and Save the Earth
  • 2C. Problem-Solving Hints
    • Mathematical Insight: Zeno''s Paradox

• II. QUANTITATIVE INFORMATION IN EVERYDAY LIFE

• Numbers in the Real World
  • Activity: Big Numbers
  • 3A. Uses and Abuses of Percentages
    • Brief Review: Percentages
    • Brief Review: What Is a Ratio?
  • 3B. Putting Numbers in Perspective
    • Brief Review: Working with Scientific Notation
    • Using Technology: Scientific Notation
  • 3C. Dealing with Uncertainty
    • Brief Review: Rounding
    • Using Technology: Rounding in Excel
  • 3D. Index Numbers: The CPI and Beyond
    • Using Technology: The Inflation Calculator
    • In Your World: The Chained CPI and the Federal Budget
  • 3E. How Numbers Can Deceive: Polygraphs, Mammograms, and More
• Managing Money
  • Activity: Student Loans
  • 4A. Taking Control of Your Finances
  • 4B. The Power of Compounding
    • Brief Review: Powers and Roots
    • Using Technology: Powers
    • Using Technology: The Compound Interest Formula
    • Using Technology: The Compound Interest Formula for Interest Paid More Than Once a Year
    • Using Technology: APY in Excel
    • Using Technology: Powers of e
    • Brief Review: Four Basic Rules of Algebra
    • In Your World: Effects of Low Interest Rates
  • 4C. Savings Plans and Investments
    • Mathematical Insight: Derivation of the Savings Plan Formula
    • Using Technology: The Savings Plan Formula
    • Using Technology: Fractional Powers (Roots)
    • In Your World: Building a Portfolio
  • 4D. Loan Payments, Credit Cards, and Mortgages
    • Using Technology: The Loan Payment Formula (Installment Loans)
    • Mathematical Insight: Derivation of the Loan Payment Formula
    • Using Technology: Principal and Interest Portions of Loan Payments
    • In Your World: Avoiding Credit Card Trouble
    • In Your World: Choosing or Refinancing a Loan
  • 4E. Income Taxes
  • 4F. Understanding the Federal Budget

• III. PROBABILITY AND STATISTICS

• Statistical Reasoning
  • Activity: Cell Phones and Driving
  • 5A. Fundamentals of Statistics
    • Using Technology: Random Numbers
  • 5B. Should You Believe a Statistical Study?
    • In Your World: The Gun Debate: Defensive Gun Use
  • 5C. Statistical Tables and Graphs
    • Using Technology: Frequency Tables in Excel
    • Using Technology: Bar Graphs and Pie Charts in Excel
    • Using Technology: Line Charts in Excel
  • 5D. Graphics in the Media
    • Using Technology: Graphs with Multiple Data Sets
  • 5E. Correlation and Causality
    • Using Technology: Scatterplots in Excel
• Putting Statistics to Work
  • Activity: Are We Smarter Than Our Parents?
  • 6A. Characterizing Data
    • Using Technology: Mean, Median, and Mode in Excel
  • 6B. Measures of Variation
    • Using Technology: Standard Deviation in Excel
  • 6C. The Normal Distribution
    • Using Technology: Standard Scores and Percentiles in Excel
  • 6D. Statistical Inference
    • In Your World: Is Polling Reliable?
• Probability: Living With The Odds
  • Activity: Lotteries
  • 7A. Fundamentals of Probability
    • Brief Review: The Multiplication Principle
  • 7B. Combining Probabilities
  • 7C. The Law of Large Numbers
  • 7D. Assessing Risk
    • In Your World: Terrorism, Risk, and Human Psychology
  • 7E. Counting and Probability
    • Using Technology: Factorials
    • Brief Review: Factorials
    • Using Technology: Permutations
    • Using Technology: Combinations

• IV. MODELING

• Exponential Astonishment
  • Activity: Towers of Hanoi
  • 8A. Growth: Linear vs. Exponential
  • 8B. Doubling Time and Half-Life
    • Using Technology: Logarithms
    • Brief Review: Logarithms
  • 8C. Real Population Growth
    • In Your World: Choosing Our Fate
  • 8D. Logarithmic Scales: Earthquakes, Sounds, and Acids
    • In Your World: Ocean Acidification
• Modeling Our World
  • Activity: Climate Modeling
  • 9A. Functions: The Building Blocks of Mathematical Models
    • Brief Review: The Coordinate Plane
  • 9B. Linear Modeling
    • Using Technology: Graphing Functions
    • In Your World: Algebra''s Baghdad Connection
  • 9C. Exponential Modeling
    • Brief Review: Algebra with Logarithms
    • Mathematical Insight: Doubling Time and Half-Life Formulas
    • In Your World: Changing Rates of Change
• Modeling With Geometry
  • Activity: Eyes in the Sky
  • 10A. Fundamentals of Geometry
    • Mathematical Insight: Archimedes and Pi
    • In Your World: Plato, Geometry, and Atlantis
  • 10B. Problem Solving with Geometry
  • 10C. Fractal Geometry

• V. FURTHER APPLICATIONS

• Mathematics and The Arts
  • Activity: Digital Music Files
  • 11A. Mathematics and Music
    • In Your World: Music Just for You
  • 11B. Perspective and Symmetry
  • 11C. Proportion and the Golden Ratio
• Mathematics and Politics
  • Activity: Partisan Redistricting
  • 12A. Voting: Does the Majority Always Rule?
    • In Your World: Counting Votes-Not as Easy as It Sounds
  • 12B. Theory of Voting
    • In Your World: The Electoral College and the Presidency
  • 12C. Apportionment: The House of Representatives and Beyond
  • 12D. Dividing the Political Pie

• Credits

  Answers to Quick Quizzes and Odd-Numbered Exercises

  Index