CHAPTER 1 An Introduction to Problem Solving 

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1  (2) 

11 Explorations with Patterns 


3  (14) 

12 Mathematics and Problem Solving 


17  (17) 


34  (12) 

14 Logic: An Introduction 


46  (9) 

Hint for Solving the Preliminary Problem 


55  (1) 

Questions from the Classroom 


56  (1) 


56  (1) 


57  (1) 


58  (2) 
CHAPTER 2 Sets, Whole Numbers, and Functions 

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60  (2) 


62  (12) 

22 Other Set Operations and Their Properties 


74  (11) 

23 Addition and Subtraction of Whole Numbers 


85  (12) 

24 Multiplication and Division of Whole Numbers 


97  (13) 


110  (18) 

Hint for Solving the Preliminary Problem 


128  (1) 

Questions from the Classroom 


128  (1) 


129  (1) 


130  (2) 


132  (1) 
CHAPTER 3 Numeration Systems and WholeNumber Computation 

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133  (1) 


134  (15) 

32 Algorithms for WholeNumber Addition and Subtraction 


149  (11) 

33 Algorithms for WholeNumber Multiplication and Division 


160  (14) 

34 Mental Mathematics and Estimation for WholeNumber Operations 


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Hint for Solving the Preliminary Problem 


782  

Questions from the Classroom 


182  (1) 


183  (1) 


183  (2) 


185  (1) 
CHAPTER 4 Integers and Number Theory 

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186  (2) 

41 Integers and the Operations of Addition and Subtraction 


188  (13) 

42 Multiplication and Division of Integers 


201  (13) 


214  (12) 

44 Prime and Composite Numbers 


226  (14) 

45 Greatest Common Divisor and Least Common Multiple 


240  (13) 

46 Clock and Modular Arithmetic 


253  (7) 

Hint for Solving the Preliminary Problem 


260  (1) 

Questions from the Classroom 


261  (1) 


261  (2) 


263  (1) 


264  (1) 
CHAPTER 5 Rational Numbers and Fractions 

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265  (2) 

51 The Set of Rational Numbers 


267  (10) 

52 Addition and Subtraction of Rational Numbers 


277  (13) 

53 Multiplication and Division of Rational Numbers 


290  (15) 

54 Proportional Reasoning 


305  (9) 

Hint for Solving the Preliminary Problem 


314  (1) 

Questions from the Classroom 314 Chapter Outline 


314  (1) 


315  (2) 


317  (1) 
CHAPTER 6 Decimals, Percents, and Real Numbers 

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318  (2) 

61 Introduction to Decimals 


320  (6) 

62 Operations on Decimals 


326  (13) 

63 Nonterminating Decimals 


339  (6) 


345  (10) 


355  (6) 


361  (8) 

Hint for Solving the Preliminary Problem 


369  (1) 

Questions from the Classroom 


369  (1) 


370  (1) 


371  (1) 


372  (1) 
CHAPTER 7 Probability 

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373  (2) 

71 How Probabilities Are Determined 


375  (12) 

72 Multistage Experiments with Tree Diagrams and Geometric Probabilities 


387  (19) 

73 Using Simulations in Probability 


406  (8) 

74 Odds, Conditional Probability, and Expected Value 


414  (8) 

75 Using Permutations and Combinations in Probability 


422  (11) 

Hint for Solving the Preliminary Problem 


433  (1) 

Questions from the Classroom 


434  (1) 


434  (1) 


435  (2) 


437  (2) 
CHAPTER 8 Data Analysis/Statistics: An Introduction 

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439  (2) 


441  (19) 

82 Measures of Central Tendency and Variation 


460  (22) 


482  (9) 

Hint for Solving the Preliminary Problem 


491  (1) 

Questions from the Classroom 


491  (1) 


491  (1) 


492  (3) 


495  (1) 
CHAPTER 9 Introductory Geometry 

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496  (2) 


498  (14) 


512  (10) 


522  (12) 

94 Geometry in Three Dimensions 


534  (11) 


545  (8) 

Hint for Solving the Preliminary Problem 


553  (1) 

Questions from the Classroom 


554  (1) 


554  (1) 


555  (2) 


557  (2) 
CHAPTER 10 Constructions, Congruence, and Similarity 

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559  (1) 

101 Congruence Through Constructions 


560  (16) 

102 Other Congruence Properties 


576  (7) 


583  (11) 

104 Similar Triangles and Similar Figures 


594  (16) 

105 Trigonometry Ratios via Similarity 


610  (8) 

106 Lines in a Cartesian Coordinate System 


618  (20) 

Hint for Solving the Preliminary Problem 


638  (1) 

Questions from the Classroom 


638  (1) 


639  (1) 


640  (2) 


642  (2) 
CHAPTER 11 Concepts of Measurement 

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644  (1) 


645  (13) 

112 Areas of Polygons and Circles 


658  (20) 

113 The Pythagorean Theorem and the Distance Formula 


678  (14) 


692  (11) 

115 Volume, Mass, and Temperature 


703  (22) 

Hint for Solving the Preliminary Problem 


725  (1) 

Questions from the Classroom 


725  (1) 


726  (1) 


727  (3) 


730  (1) 
CHAPTER 12 Motion Geometry and Tessellations 

731  (60) 


731  (2) 

121 Translations and Rotations 


733  (14) 

122 Reflections and Glide Reflections 


747  (12) 

123 Size Transformations 


759  (9) 


768  (10) 

125 Tessellations of the Plane 


778  (8) 

Hint for Solving the Preliminary Problem 


786  (1) 

Questions from the Classroom 


786  (1) 


787  (1) 


787  (3) 


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  