INSTRUCTORS MANUAL FOR USING AND UNDERSTANDING MATHEMATICS A QUANTITATIVE REASONING APPROACH 7TH EDITION JEFFREY BENNETT, WILLIAM BRIGGS

INSTRUCTORS MANUAL FOR USING AND UNDERSTANDING MATHEMATICS A QUANTITATIVE REASONING APPROACH 7TH EDITION JEFFREY BENNETT, WILLIAM BRIGGS 1 Thinking Critically Table of Contents 1A Living in the Media Age.......... ...

INSTRUCTORS MANUAL FOR USING AND UNDERSTANDING MATHEMATICS A QUANTITATIVE REASONING APPROACH 7TH EDITION JEFFREY BENNETT, WILLIAM BRIGGS 1 Thinking Critically Table of Contents 1A Living in the Media Age.......................................................................1 1B Propositions and Truth Values..............................................................9 1C Sets and Venn Diagrams.....................................................................17 1D Analyzing Arguments.........................................................................29 1E Critical Thinking in Everyday Life.....................................................37 2 Approaches to Problem Solving 2A Understand, Solve, and Explain..........................................................46 2B Extending Unit Analysis.....................................................................52 2C Problem-Solving Hints .......................................................................58 3 Numbers in the Real World 3A Uses and Abuses of Percentages.........................................................66 3B Putting Numbers in Perspective ..........................................................74 3C Dealing with Uncertainty....................................................................80 3D Index Numbers: The CPI and Beyond................................................88 3E How Numbers Can Deceive: Polygraphs, Mammograms, and More....................................................................96 4 Managing Money 4A Taking Control of Your Finances.....................................................108 4B The Power of Compounding.............................................................114 4C Savings Plans and Investments.........................................................120 4D Loan Payments, Credit Cards, and Mortgages .................................126 4E Income Taxes....................................................................................132 4F Understanding the Federal Budget ...................................................140 5 Statistical Reasoning 5A Fundamentals of Statistics................................................................146 5B Should You Believe a Statistical Study? ..........................................154 5C Statistical Tables and Graphs............................................................162 5D Graphics in the Media.......................................................................172 5E Correlation and Causality .................................................................176 6 Putting Statistics to Work 6A Characterizing Data ..........................................................................186 6B Measures of Variation.......................................................................194 6C The Normal Distribution...................................................................202 6D Statistical Inference...........................................................................210 7 Probability: Living with the Odds 7A Fundamentals of Probability.............................................................218 7B Combining Probabilities ...................................................................226 7C The Law of Large Numbers..............................................................234 7D Assessing Risk ..................................................................................242 7E Counting and Probability..................................................................250 8 Exponential Astonishment 8A Growth: Linear versus Exponential ..................................................256 8B Doubling Time and Half-Life...........................................................264 8C Real Population Growth....................................................................270 8D Logarithmic Scales: Earthquakes, Sounds, and Acids......................278 9 Modeling Our World 9A Functions: The Building Blocks of Mathematical Models...............284 9B Linear Modeling................................................................................290 9C Exponential Modeling.......................................................................299 10 Modeling with Geometry 10A Fundamentals of Geometry...............................................................309 10B Problem Solving with Geometry ......................................................319 10C Fractal Geometry ..............................................................................326 11 Mathematics and the Arts 11A Mathematics and Music....................................................................330 11B Perspective and Symmetry................................................................334 11C Proportion and the Golden Rule........................................................340 12 Mathematics and Politics 12A Voting: Does the Majority Always Rule?.........................................346 12B Theory of Voting ..............................................................................354 12C Apportionment: The House of Representatives and Beyond............364 12D Dividing the Political Pie..................................................................375 Answers to Unit Exams ................................................................................382