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.......................................................................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