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Preface vii
Instructor Resources x
Acknowledgments xi
Introduction 1
1 Draw a Diagram 11
2 Make a Systematic List 27
3 Eliminate Possibilities 47
4 Use Matrix Logic 73
5 Look for a Pattern 115
6 Guess and Check 145
7 Identify Subproblems 175
8 Analyze the Units 199
9 Solve an Easier Related Problem 233
10 Create a Physical Representation 267
11 Work Backwards 297
12 Draw Venn Diagrams 323
13 Convert to Algebra 351
14 Evaluate Finite Differences 383
15 Organize Information in More Ways 417
16 Change Focus in More Ways 447
17 Visualize Spatial Relationships 473
Appendix 503
Unit Analysis
Adding, Subtracting, Multiplying, and Dividing Fractions
Area and Volume Formulas
Properties of Triangles
Properties of Numbers
Glossary 511
Bibliography 519
Index of Problem Titles 521
General Index 529
Photo Credits 539
Answers to More Practice Problems 541
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