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A Problem Solving Approach to Mathematics: Recover,9780321168757
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A Problem Solving Approach to Mathematics: Recover

by ; ;
Edition:
8th
ISBN13:

9780321168757

ISBN10:
0321168755
Format:
Hardcover
Pub. Date:
4/1/2003
Publisher(s):
Pearson College Div
List Price: $126.67
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Table of Contents

CHAPTER 1 An Introduction to Problem Solving 1(59)
Preliminary Problem
1(2)
1-1 Explorations with Patterns
3(14)
1-2 Mathematics and Problem Solving
17(17)
1-3 Algebraic Thinking
34(12)
1-4 Logic: An Introduction
46(9)
Hint for Solving the Preliminary Problem
55(1)
Questions from the Classroom
56(1)
Chapter Outline
56(1)
Chapter Review
57(1)
Selected Bibliography
58(2)
CHAPTER 2 Sets, Whole Numbers, and Functions 60(73)
Preliminary Problem
60(2)
2-1 Describing Sets
62(12)
2-2 Other Set Operations and Their Properties
74(11)
2-3 Addition and Subtraction of Whole Numbers
85(12)
2-4 Multiplication and Division of Whole Numbers
97(13)
2-5 Functions
110(18)
Hint for Solving the Preliminary Problem
128(1)
Questions from the Classroom
128(1)
Chapter Outline
129(1)
Chapter Review
130(2)
Selected Bibliography
132(1)
CHAPTER 3 Numeration Systems and Whole-Number Computation 133(53)
Preliminary Problem
133(1)
3-1 Numeration Systems
134(15)
3-2 Algorithms for Whole-Number Addition and Subtraction
149(11)
3-3 Algorithms for Whole-Number Multiplication and Division
160(14)
3-4 Mental Mathematics and Estimation for Whole-Number Operations
174(608)
Hint for Solving the Preliminary Problem
782
Questions from the Classroom
182(1)
Chapter Outline
183(1)
Chapter Review
183(2)
Selected Bibliography
185(1)
CHAPTER 4 Integers and Number Theory 186(79)
Preliminary Problem
186(2)
4-1 Integers and the Operations of Addition and Subtraction
188(13)
4-2 Multiplication and Division of Integers
201(13)
4-3 Divisibility
214(12)
4-4 Prime and Composite Numbers
226(14)
4-5 Greatest Common Divisor and Least Common Multiple
240(13)
4-6 Clock and Modular Arithmetic
253(7)
Hint for Solving the Preliminary Problem
260(1)
Questions from the Classroom
261(1)
Chapter Outline
261(2)
Chapter Review
263(1)
Selected Bibliography
264(1)
CHAPTER 5 Rational Numbers and Fractions 265(53)
Preliminary Problem
265(2)
5-1 The Set of Rational Numbers
267(10)
5-2 Addition and Subtraction of Rational Numbers
277(13)
5-3 Multiplication and Division of Rational Numbers
290(15)
5-4 Proportional Reasoning
305(9)
Hint for Solving the Preliminary Problem
314(1)
Questions from the Classroom 314 Chapter Outline
314(1)
Chapter Review
315(2)
Selected Bibliography
317(1)
CHAPTER 6 Decimals, Percents, and Real Numbers 318(55)
Preliminary Problem
318(2)
6-1 Introduction to Decimals
320(6)
6-2 Operations on Decimals
326(13)
6-3 Nonterminating Decimals
339(6)
6-4 Percents
345(10)
6-5 Computing Interest
355(6)
6-6 Real Numbers
361(8)
Hint for Solving the Preliminary Problem
369(1)
Questions from the Classroom
369(1)
Chapter Review
370(1)
Chapter Outline
371(1)
Selected Bibliography
372(1)
CHAPTER 7 Probability 373(66)
Preliminary Problem
373(2)
7-1 How Probabilities Are Determined
375(12)
7-2 Multistage Experiments with Tree Diagrams and Geometric Probabilities
387(19)
7-3 Using Simulations in Probability
406(8)
7-4 Odds, Conditional Probability, and Expected Value
414(8)
7-5 Using Permutations and Combinations in Probability
422(11)
Hint for Solving the Preliminary Problem
433(1)
Questions from the Classroom
434(1)
Chapter Outline
434(1)
Chapter Review
435(2)
Selected Bibliography
437(2)
CHAPTER 8 Data Analysis/Statistics: An Introduction 439(57)
Preliminary Problem
439(2)
8-1 Statistical Graphs
441(19)
8-2 Measures of Central Tendency and Variation
460(22)
8-3 Abuses of Statistics
482(9)
Hint for Solving the Preliminary Problem
491(1)
Questions from the Classroom
491(1)
Chapter Outline
491(1)
Chapter Review
492(3)
Selected Bibliography
495(1)
CHAPTER 9 Introductory Geometry 496(63)
Preliminary Problem
496(2)
9-1 Basic Notions
498(14)
9-2 Polygons
512(10)
9-3 More about Angles
522(12)
9-4 Geometry in Three Dimensions
534(11)
9-5 Networks
545(8)
Hint for Solving the Preliminary Problem
553(1)
Questions from the Classroom
554(1)
Chapter Outline
554(1)
Chapter Review
555(2)
Selected Bibliography
557(2)
CHAPTER 10 Constructions, Congruence, and Similarity 559(85)
Preliminary Problem
559(1)
10-1 Congruence Through Constructions
560(16)
10-2 Other Congruence Properties
576(7)
10-3 Other Constructions
583(11)
10-4 Similar Triangles and Similar Figures
594(16)
10-5 Trigonometry Ratios via Similarity
610(8)
10-6 Lines in a Cartesian Coordinate System
618(20)
Hint for Solving the Preliminary Problem
638(1)
Questions from the Classroom
638(1)
Chapter Outline
639(1)
Chapter Review
640(2)
Selected Bibliography
642(2)
CHAPTER 11 Concepts of Measurement 644(87)
Preliminary Problem
644(1)
11-1 Linear Measure
645(13)
11-2 Areas of Polygons and Circles
658(20)
11-3 The Pythagorean Theorem and the Distance Formula
678(14)
11-4 Surface Areas
692(11)
11-5 Volume, Mass, and Temperature
703(22)
Hint for Solving the Preliminary Problem
725(1)
Questions from the Classroom
725(1)
Chapter Outline
726(1)
Chapter Review
727(3)
Selected Bibliography
730(1)
CHAPTER 12 Motion Geometry and Tessellations 731(60)
Preliminary Problem
731(2)
12-1 Translations and Rotations
733(14)
12-2 Reflections and Glide Reflections
747(12)
12-3 Size Transformations
759(9)
12-4 Symmetries
768(10)
12-5 Tessellations of the Plane
778(8)
Hint for Solving the Preliminary Problem
786(1)
Questions from the Classroom
786(1)
Chapter Outline
787(1)
Chapter Review
787(3)
Selected Bibliography
790(1)
Appendix I Using a Spreadsheet 791(7)
Appendix II Graphing Calculators 798(8)
Appendix III Using a Geometry Drawing Utility 806(21)
Answers to Selected Problems 827(48)
Index 875


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