INSTRUCTOR MANUALTESTING FOR USING AND UNDERSTANDING MATHEMATICS A QUANTITAVIVE REASONING APPROACH 8TH EDITION JEFFREY BENNET, WILLIAM BRIGGS
1 Thinking Critically
Table of Contents
1A Living in the Med
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INSTRUCTOR MANUALTESTING FOR USING AND UNDERSTANDING MATHEMATICS A QUANTITAVIVE REASONING APPROACH 8TH EDITION JEFFREY BENNET, 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 Numerical Surprises: 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 Personal 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 180
6 Putting Statistics to Work
6A Characterizing Data 190
6B Measures of Variation 198
6C The Normal Distribution 206
6D Statistical Inference 214
7 Probability: Living with the Odds
7A Fundamentals of Probability 222
7B Combining Probabilities 230
7C The Law of Large Numbers 238
7D Assessing Risk 246
7E Counting and Probability 254
8 Exponential Astonishment
8A Growth: Linear versus Exponential 260
8B Doubling Time and Half-Life 268
8C Real Population Growth 274
8D Logarithmic Scales: Earthquakes, Sounds, and Acids 282
9 Modeling Our World
9A Functions: The Building Blocks of Mathematical Models 288
9B Linear Modeling 294
9C Exponential Modeling 303
10 Modeling with Geometry
10A Fundamentals of Geometry 313
10B Problem Solving with Geometry 323
10C Fractal Geometry 330
11 Mathematics and the Arts
11A Mathematics and Music 334
11B Perspective and Symmetry 338
11C Proportion and the Golden Ratio 344
12 Mathematics and Politics
12A Voting: Does the Majority Always Rule? 350
12B Theory of Voting 358
12C Apportionment: The House of Representatives and Beyond 368
12D Dividing the Political Pie 379
Answers to Unit Exams 387
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