About the Authors ix

Suggestions for Using Math Wise! xi

I. Making Sense of Numbers 1

1. Toothpick Storybooks 3

2. Number Combination Noisy Boxes 5

3. Everyday Things Numberbooks 7

4. Under the Bowl 9

5. Cheerios™ and Fruit Loops™ Place Value 11

6. Beans and Beansticks 13

7. Incredible Expressions 19

8. Number Cutouts 22

9. Celebrate 100 Days 27

10. Paper Plate Fractions 30

11. Bean Cups to 1,000 33

12. Dot Paper Fractions 36

13. Fraction Cover-up or Un-cover 43

14. Post-it™ Mental Math 47

15. Calendar Math 50

16. Let’s Have Order 54

17. Reject a Digit 57

18. A Million or More 62

19. Smallest and Largest 66

20. Numbers to Words to Numbers 71

21. Target a Number 74

22. Fraction Codes 77

23. Comparing Fractions, Decimals, and Percents 80

24. Number Clues 83

25. Number Power Walks 91

II. Computation Connections 95

26. Paper Clip Addition Cards 97

27. Arm-Lock Computation 100

28. Punchy Math 104

29. Multiplication Fact Fold-Outs 106

30. Ziploc™ Division 109

31. Dot Paper Diagrams 112

32. File Folder Activities 119

33. Beat the Calculator 122

34. Floor Number Line Actions 125

35. Egg Carton Math 128

36. Cross-line Multiplication 133

37. Highlighting Multiplication 136

38. Chalkboard or Tabletop Spinner Games 139

39. Skunk 143

40. Subtraction Squares 147

41. Drawing Fraction Common Denominators 151

42. Fraction × and ÷ Diagrams 154

43. Decimal Squares 158

44. Square Scores 163

45. Math Concentration 168

46. Scramble 170

47. Palindromic Addition 174

48. Paper Clip Division 179

49. I Have_—, Who Has_—? 182

50. Number Grids 186

51. Here I Am 189

52. Equation Match-Up 194

53. Block Four 196

54. Silent Math 203

55. Rapid Checking 206

III. Investigations and Problem Solving 209

56. Shoe Graphs 211

57. Sticky Gooey Cereal Probability 214

58. Sugar Cube Buildings 219

59. A Chocolate Chip Hunt 223

60. Flexagon Creations 228

61. Watermelon Math 232

62. Restaurant Menu Math 235

63. Peek Box Probability 238

64. A Problem-Solving Plan 242

65. Fraction Quilt Designs 247

66. What I Do in a Day 250

67. Shaping Up 254

68. Verbal Problems 260

69. Scheduling 271

70. Student-Devised Word Problems 274

71. Tired Hands 278

72. Paper Airplane Mathematics 281

73. A Dog Pen Problem 285

74. Building the Largest Container 288

75. The Three M’s (Mean, Median, and Mode) 290

76. Post-it Statistics 294

77. A Postal Problem 297

78. Build the ‘‘Best’’ Doghouse 301

79. Dog Races 304

80. Four-Coin Statistics 308

81. Tube Taping 312

82. Height with a Hypsometer 317

83. Fairness at the County Fair 321

84. Winning a Prize Spelling ‘‘NUT’’ 328

85. Building Toothpick Bridges 332

86. A Bridge with a Bulge 335

IV. Logical Thinking 339

87. Stacking Oranges 341

88. Tell Everything You Can 345

89. Handshake Logic 349

90. 2- and 3-D Arrangements 352

91. Overhead Tic-Tac-Toe 355

92. Magic Triangle Logic 358

93. Paper Clip Spinners 361

94. Triangle Toothpick Logic 364

95. Rectangle Toothpick Logic 367

96. What Graph Is This? 372

97. Fold-and-Punch Patterns 377

98. Coordinate Clues 380

99. Puzzlers with Paper 383

100. Create a Tessellation 388

101. Problem Puzzlers 392

102. Dartboard Logic 397

103. Angelica’s Bean Logic 401

104. Line It Out 404

105. Duplicate Digit Logic 408

106. String Triangle Geometry 411

107. A Potpourri of Logical-Thinking Problems, Puzzles, and Activities 414

Plan a Circuit Board 414

22 Wheels and 7 Kids 415

Candy Box Logic 416

Brownie Cutting 416

Making Sums with 0–9 417

Upside-down Displays 418

Coin Walk 418

Dice Plotting 419

Coin Divide 420

Animal Pens 420

12 Days of Christmas 421

Rubber Sheet Geometry 422

How Long Is a Groove? 423

Solutions to Selected Potpourri Activities 424

Selected Bibliography 427

Index 428