Math Puzzles and Brain Teasers

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  • All the rows, columns, and diagonals sum to the same number.1. It includes all the numbers from 1 to 9.2. Even numbers in the corners; other numbers are odd.3. Each row adds to 15.4. Each column adds to 15.5. Both diagonals add to 15.6. The overall figure is a square.7. Opposite corners (and sides) equal 10.
  • All the rows, columns, and diagonals sum to the same number.1. It includes all the numbers from 1 to 9.2. Even numbers in the corners; other numbers are odd.3. Each row adds to 15.4. Each column adds to 15.5. Both diagonals add to 15.6. The overall figure is a square.7. Opposite corners (and sides) equal 10.
  • Tell the child she can build herown magic square. Demonstrate as follows.
  • Let’s put 5 in the middle and our magic number will still be 15.Now let’s put an odd number, say 7, in the corner.
  • What other number can we fill in? [3 in the lower right, 7 + 5 = 12, so 3 is needed to make 15]
  • What other number can we fill in? [none] So we can choose again.Let’s write a 1 next to the 7.
  • Math Puzzles and Brain Teasers

    1. 1. Math Puzzles and Brain Teasers Presented by Kathleen Cotter Lawler© Activities for Learning, Inc. 2012
    2. 2. Patterns© Activities for Learning, Inc. 2012
    3. 3. Patterns© Activities for Learning, Inc. 2012
    4. 4. Patterns© Activities for Learning, Inc. 2012
    5. 5. Patterns© Activities for Learning, Inc. 2012
    6. 6. Patterns© Activities for Learning, Inc. 2012
    7. 7. Patterns© Activities for Learning, Inc. 2012
    8. 8. Squares© Activities for Learning, Inc. 2012
    9. 9. Squares© Activities for Learning, Inc. 2012
    10. 10. Squares© Activities for Learning, Inc. 2012
    11. 11. Squares© Activities for Learning, Inc. 2012
    12. 12. Squares© Activities for Learning, Inc. 2012
    13. 13. Squares 22 =4© Activities for Learning, Inc. 2012
    14. 14. Squares© Activities for Learning, Inc. 2012
    15. 15. Squares© Activities for Learning, Inc. 2012
    16. 16. Squares© Activities for Learning, Inc. 2012
    17. 17. Squares© Activities for Learning, Inc. 2012
    18. 18. Squares© Activities for Learning, Inc. 2012
    19. 19. Squares 32 =9© Activities for Learning, Inc. 2012
    20. 20. Squares© Activities for Learning, Inc. 2012
    21. 21. Squares© Activities for Learning, Inc. 2012
    22. 22. Squares© Activities for Learning, Inc. 2012
    23. 23. Squares© Activities for Learning, Inc. 2012
    24. 24. Squares© Activities for Learning, Inc. 2012
    25. 25. Squares© Activities for Learning, Inc. 2012
    26. 26. Squares© Activities for Learning, Inc. 2012
    27. 27. Squares 42 = 16© Activities for Learning, Inc. 2012
    28. 28. Squares© Activities for Learning, Inc. 2012
    29. 29. Squares 52 = 25© Activities for Learning, Inc. 2012
    30. 30. Squares© Activities for Learning, Inc. 2012
    31. 31. Squares 62 = 36© Activities for Learning, Inc. 2012
    32. 32. Guided Discovery© Activities for Learning, Inc. 2012
    33. 33. Guided Discovery To encourage and guide the child to discovery.© Activities for Learning, Inc. 2012
    34. 34. Guided Discovery To encourage and guide the child to discovery. Ask questions, encouraging the child to find the “trick” or “secret pattern”.© Activities for Learning, Inc. 2012
    35. 35. Guided Discovery It is vitally important that children think about what they are doing and not be satisfied with memorizing a rule.© Activities for Learning, Inc. 2012
    36. 36. Fractals© Activities for Learning, Inc. 2012
    37. 37. Fractals • Coined in 1975.© Activities for Learning, Inc. 2012
    38. 38. Fractals • Coined in 1975. • Derived from the Latin fractus meaning "broken" or "fractured."© Activities for Learning, Inc. 2012
    39. 39. Fractals© Activities for Learning, Inc. 2012
    40. 40. Fractals How many purple triangles?© Activities for Learning, Inc. 2012
    41. 41. Fractals Now how many purple triangles?© Activities for Learning, Inc. 2012
    42. 42. Fractals How about now?© Activities for Learning, Inc. 2012
    43. 43. Fractals Now how many purple triangles?© Activities for Learning, Inc. 2012
    44. 44. Fractals Now how many purple triangles? Cotter Tens Fractal© Activities for Learning, Inc. 2012
    45. 45. Fractals© Activities for Learning, Inc. 2012
    46. 46. Fractals© Activities for Learning, Inc. 2012
    47. 47. Fractals© Activities for Learning, Inc. 2012
    48. 48. Fractals© Activities for Learning, Inc. 2012
    49. 49. Fractals© Activities for Learning, Inc. 2012
    50. 50. Fractals© Activities for Learning, Inc. 2012
    51. 51. Fractals© Activities for Learning, Inc. 2012
    52. 52. Asian Cultures • In Asian cultures, families play with numbers the way Americans play with words.© Activities for Learning, Inc. 2012
    53. 53. Asian Cultures • In Asian cultures, families play with numbers the way Americans play with words. • This is one reason why Asians tend to succeed in math.© Activities for Learning, Inc. 2012
    54. 54. Math Balance 10 9 8 7 6 5 4 3 2 1 1 2 3 4 5 6 7 8 9 10© Activities for Learning, Inc. 2012
    55. 55. Math Balance 10 9 8 7 6 5 4 3 2 1 1 2 3 4 5 6 7 8 9 10 10 = 3 + 7© Activities for Learning, Inc. 2012
    56. 56. Math Balance 10 9 8 7 6 5 4 3 2 1 1 2 3 4 5 6 7 8 9 10 6+2=8© Activities for Learning, Inc. 2012
    57. 57. Math Balance 10 9 8 7 6 5 4 3 2 1 1 2 3 4 5 6 7 8 9 10 three 4s = 10 + 2© Activities for Learning, Inc. 2012
    58. 58. Math Balance 10 9 8 7 6 5 4 3 2 1 1 2 3 4 5 6 7 8 9 10 three 4s = 10 + 2 3 x 4 = 12© Activities for Learning, Inc. 2012
    59. 59. Math Balance 10 9 8 7 6 5 4 3 2 1 1 2 3 4 5 6 7 8 9 10 three 4s = four 3s© Activities for Learning, Inc. 2012
    60. 60. Math Balance 10 9 8 7 6 5 4 3 2 1 1 2 3 4 5 6 7 8 9 10 three 4s = four 3s 3x4=4x3© Activities for Learning, Inc. 2012
    61. 61. Math Balance 10 9 8 7 6 5 4 3 2 1 1 2 3 4 5 6 7 8 9 10 what + 5 = 3 + 9© Activities for Learning, Inc. 2012
    62. 62. Math Balance 10 9 8 7 6 5 4 3 2 1 1 2 3 4 5 6 7 8 9 10 a+5=3+9 7+5=3+9© Activities for Learning, Inc. 2012
    63. 63. Puzzle Numbers© Activities for Learning, Inc. 2012
    64. 64. Puzzle Numbers Make an equation using 3 4 2 5 with mathematics symbols, = + – x ÷ ) /, keeping the numbers in the same order.© Activities for Learning, Inc. 2012
    65. 65. Puzzle Numbers Make an equation using 3 + 4 = 2+ 5 with mathematics symbols, = + – x ÷ ) /, keeping the numbers in the same order.© Activities for Learning, Inc. 2012
    66. 66. Puzzle Numbers Make an equation using 3 4 2 5 with mathematics symbols, = + – x ÷ ) /, keeping the numbers in the same order.© Activities for Learning, Inc. 2012
    67. 67. Puzzle Numbers Make an equation using 3+ 4– 2= 5 with mathematics symbols, = + – x ÷ ) /, keeping the numbers in the same order.© Activities for Learning, Inc. 2012
    68. 68. Puzzle Numbers Make an equation using 4 2 8 4 with mathematics symbols, = + – x ÷ ) /, keeping the numbers in the same order.© Activities for Learning, Inc. 2012
    69. 69. Puzzle Numbers Make an equation using 4 / 2= 8 / 4 with mathematics symbols, = + – x ÷ ) /, keeping the numbers in the same order.© Activities for Learning, Inc. 2012
    70. 70. Puzzle Numbers Make an equation using 4 2 8 4 with mathematics symbols, = + – x ÷ ) /, keeping the numbers in the same order.© Activities for Learning, Inc. 2012
    71. 71. Puzzle Numbers Make an equation using 4÷ 2 = 8÷ 4 with mathematics symbols, = + – x ÷ ) /, keeping the numbers in the same order.© Activities for Learning, Inc. 2012
    72. 72. Puzzle Numbers Make an equation using 4 2 8 4 with mathematics symbols, = + – x ÷ ) /, keeping the numbers in the same order.© Activities for Learning, Inc. 2012
    73. 73. Puzzle Numbers Make an equation using 4= 2 — ) 8=4 with mathematics symbols, = + – x ÷ ) /, keeping the numbers in the same order.© Activities for Learning, Inc. 2012
    74. 74. Magic Squares© Activities for Learning, Inc. 2012
    75. 75. Magic Squares Magic number is 15.© Activities for Learning, Inc. 2012
    76. 76. Magic Squares© Activities for Learning, Inc. 2012
    77. 77. Magic Squares© Activities for Learning, Inc. 2012
    78. 78. Magic Squares© Activities for Learning, Inc. 2012
    79. 79. Magic Squares© Activities for Learning, Inc. 2012
    80. 80. Magic Squares© Activities for Learning, Inc. 2012
    81. 81. Magic Squares© Activities for Learning, Inc. 2012
    82. 82. Magic Squares© Activities for Learning, Inc. 2012
    83. 83. Magic Squares© Activities for Learning, Inc. 2012
    84. 84. Magic Squares© Activities for Learning, Inc. 2012
    85. 85. Magic Squares© Activities for Learning, Inc. 2012
    86. 86. Magic Squares Magic number is 0.© Activities for Learning, Inc. 2012
    87. 87. Magic Squares© Activities for Learning, Inc. 2012
    88. 88. Asian Cultures • Asian language also plays a role with their success with math.© Activities for Learning, Inc. 2012
    89. 89. Asian Cultures • Asian language also plays a role with their success with math. • They use a “math way” to name numbers.© Activities for Learning, Inc. 2012
    90. 90. Math Way of Naming Numbers© Activities for Learning, Inc. 2012
    91. 91. Math Way of Naming Numbers Children often think of 14 as 14 ones, not ten and 4 ones.© Activities for Learning, Inc. 2012
    92. 92. Math Way of Naming Numbers Children often think of 14 as 14 ones, not ten and 4 ones. The pattern that is needed to make sense of tens and ones is hidden!© Activities for Learning, Inc. 2012
    93. 93. Math Way of Naming Numbers 11 = ten 1 20 = 2-ten 12 = ten 2 21 = 2-ten 1 13 = ten 3 22 = 2-ten 2 14 = ten 4 23 = 2-ten 3 .... .... 19 = ten 9 .... 99 = 9-ten 9© Activities for Learning, Inc. 2012
    94. 94. Math Way of Naming Numbers • Just as reciting the alphabet doesn’t teach reading, counting doesn’t teach arithmetic.© Activities for Learning, Inc. 2012
    95. 95. Math Way of Naming Numbers • Just as reciting the alphabet doesn’t teach reading, counting doesn’t teach arithmetic. • Just as we first teach the sound of the letters, we first teach the name of the quantity (math way).© Activities for Learning, Inc. 2012
    96. 96. Math Way of Naming Numbers 11 = ten 1 20 = 2-ten 12 = ten 2 21 = 2-ten 1 13 = ten 3 22 = 2-ten 2 14 = ten 4 23 = 2-ten 3 .... .... 19 = ten 9 .... 99 = 9-ten 9© Activities for Learning, Inc. 2012
    97. 97. Math Way of Naming Numbers • Only 11 words are needed to count to 100 the math way, 28 in English. (All Indo-European languages are non-standard in number naming.)© Activities for Learning, Inc. 2012
    98. 98. Math Way of Naming Numbers • Only 11 words are needed to count to 100 the math way, 28 in English. (All Indo-European languages are non-standard in number naming.) • Asian children learn mathematics using the math way of counting.© Activities for Learning, Inc. 2012
    99. 99. Math Way of Naming Numbers • Only 11 words are needed to count to 100 the math way, 28 in English. (All Indo-European languages are non-standard in number naming.) • Asian children learn mathematics using the math way of counting. • They understand place value in first grade; only half of U.S. children understand place value at the end of fourth grade.© Activities for Learning, Inc. 2012
    100. 100. Math Way of Naming Numbers • Only 11 words are needed to count to 100 the math way, 28 in English. (All Indo-European languages are non-standard in number naming.) • Asian children learn mathematics using the math way of counting. • They understand place value in first grade; only half of U.S. children understand place value at the end of fourth grade. • Mathematics is the science of patterns. The patterned math way of counting greatly helps children learn number sense.© Activities for Learning, Inc. 2012
    101. 101. Understanding Place Value 2-ten 2 0© Activities for Learning, Inc. 2012
    102. 102. Understanding Place Value 2-ten 2 0© Activities for Learning, Inc. 2012
    103. 103. Understanding Place Value 2-ten 2 0© Activities for Learning, Inc. 2012
    104. 104. Understanding Place Value 3-ten 2 0 3© Activities for Learning, Inc. 2012
    105. 105. Understanding Place Value 3-ten 2 0 3© Activities for Learning, Inc. 2012
    106. 106. Understanding Place Value 3-ten 2 0 3© Activities for Learning, Inc. 2012
    107. 107. Understanding Place Value 3-ten 7 2 0 3 7© Activities for Learning, Inc. 2012
    108. 108. Understanding Place Value 3-ten 7 3 7 2 0© Activities for Learning, Inc. 2012
    109. 109. Understanding Place Value 6-ten 2 0 6© Activities for Learning, Inc. 2012
    110. 110. Understanding Place Value 6-ten 2 2 0 6 2© Activities for Learning, Inc. 2012
    111. 111. Understanding Place Value 6-ten 2 6 2 2 0© Activities for Learning, Inc. 2012
    112. 112. Understanding Place Value 10-ten 1 0 0© Activities for Learning, Inc. 2012
    113. 113. Understanding Place Value 10-ten 1 0 0© Activities for Learning, Inc. 2012
    114. 114. Understanding Place Value 10-ten 1 0 0© Activities for Learning, Inc. 2012
    115. 115. Understanding Place Value 1 hundred 1 0 0© Activities for Learning, Inc. 2012
    116. 116. Understanding Place Value 1 hundred 1 0 0© Activities for Learning, Inc. 2012
    117. 117. Understanding Place Value 1 hundred 1 0 0© Activities for Learning, Inc. 2012
    118. 118. Understanding Place Value 1 hundred 1 0 0© Activities for Learning, Inc. 2012
    119. 119. Place Value Cards 3 0 3- ten 3 0 0 3 hun-dred 3 0 0 0 3 th- ou-sand© Activities for Learning, Inc. 2012
    120. 120. Place Value Cards 3 0 0 0 3 0 0 0 3 0 0 8 6 5 0 6 0 0 6 0 0 5 0 8 5 0 8© Activities for Learning, Inc. 2012
    121. 121. AL Abacus - Side 2 1000 100 10 1 Cleared© Activities for Learning, Inc. 2012
    122. 122. AL Abacus - Side 2 1000 100 10 1 Thousands© Activities for Learning, Inc. 2012
    123. 123. AL Abacus - Side 2 1000 100 10 1 Hundreds© Activities for Learning, Inc. 2012
    124. 124. AL Abacus - Side 2 1000 100 10 1 Tens© Activities for Learning, Inc. 2012
    125. 125. AL Abacus - Side 2 1000 100 10 1 Ones© Activities for Learning, Inc. 2012
    126. 126. AL Abacus - Side 2 1000 100 10 1 8 + 6© Activities for Learning, Inc. 2012
    127. 127. AL Abacus - Side 2 1000 100 10 1 8 + 6© Activities for Learning, Inc. 2012
    128. 128. AL Abacus - Side 2 1000 100 10 1 8 + 6© Activities for Learning, Inc. 2012
    129. 129. AL Abacus - Side 2 1000 100 10 1 8 + 6 14© Activities for Learning, Inc. 2012
    130. 130. AL Abacus - Side 2 1000 100 10 1 8 + 6 14© Activities for Learning, Inc. 2012
    131. 131. AL Abacus - Side 2 1000 100 10 1 8 + 6 14© Activities for Learning, Inc. 2012
    132. 132. AL Abacus - Side 2 1000 100 10 1 8 + 6 14© Activities for Learning, Inc. 2012
    133. 133. AL Abacus - Side 2 1000 100 10 1 Why keep the two columns even?© Activities for Learning, Inc. 2012
    134. 134. AL Abacus - Side 2 1000 100 10 1© Activities for Learning, Inc. 2012
    135. 135. AL Abacus - Side 2 1000 100 10 1 Do we need to trade?© Activities for Learning, Inc. 2012
    136. 136. AL Abacus - Side 2 1000 100 10 1© Activities for Learning, Inc. 2012
    137. 137. AL Abacus - Side 2 1000 100 10 1© Activities for Learning, Inc. 2012
    138. 138. AL Abacus - Side 2 1000 100 10 1 Do we need to trade?© Activities for Learning, Inc. 2012
    139. 139. Four Digit Addition 1000 100 10 1 3658 + 2738© Activities for Learning, Inc. 2012
    140. 140. Four Digit Addition 1000 100 10 1 3658 + 2738© Activities for Learning, Inc. 2012
    141. 141. Four Digit Addition 1000 100 10 1 3658 + 2738© Activities for Learning, Inc. 2012
    142. 142. Four Digit Addition 1000 100 10 1 3658 + 2738© Activities for Learning, Inc. 2012
    143. 143. Four Digit Addition 1000 100 10 1 3658 + 2738© Activities for Learning, Inc. 2012
    144. 144. Four Digit Addition 1000 100 10 1 3658 + 2738© Activities for Learning, Inc. 2012
    145. 145. Four Digit Addition 1000 100 10 1 3658 + 2738© Activities for Learning, Inc. 2012
    146. 146. Four Digit Addition 1000 100 10 1 3658 + 2738© Activities for Learning, Inc. 2012
    147. 147. Four Digit Addition 1000 100 10 1 3658 + 2738© Activities for Learning, Inc. 2012
    148. 148. Four Digit Addition 1000 100 10 1 3658 + 2738© Activities for Learning, Inc. 2012
    149. 149. Four Digit Addition 1000 100 10 1 3658 + 2738 6© Activities for Learning, Inc. 2012
    150. 150. Four Digit Addition 1000 100 10 1 1 3658 + 2738 6© Activities for Learning, Inc. 2012
    151. 151. Four Digit Addition 1000 100 10 1 1 3658 + 2738 6© Activities for Learning, Inc. 2012
    152. 152. Four Digit Addition 1000 100 10 1 1 3658 + 2738 6© Activities for Learning, Inc. 2012
    153. 153. Four Digit Addition 1000 100 10 1 1 3658 + 2738 96© Activities for Learning, Inc. 2012
    154. 154. Four Digit Addition 1000 100 10 1 1 3658 + 2738 96© Activities for Learning, Inc. 2012
    155. 155. Four Digit Addition 1000 100 10 1 1 3658 + 2738 96© Activities for Learning, Inc. 2012
    156. 156. Four Digit Addition 1000 100 10 1 1 3658 + 2738 96© Activities for Learning, Inc. 2012
    157. 157. Four Digit Addition 1000 100 10 1 1 3658 + 2738 96© Activities for Learning, Inc. 2012
    158. 158. Four Digit Addition 1000 100 10 1 1 3658 + 2738 96© Activities for Learning, Inc. 2012
    159. 159. Four Digit Addition 1000 100 10 1 1 3658 + 2738 396© Activities for Learning, Inc. 2012
    160. 160. Four Digit Addition 1000 100 10 1 1 1 3658 + 2738 396© Activities for Learning, Inc. 2012
    161. 161. Four Digit Addition 1000 100 10 1 1 1 3658 + 2738 396© Activities for Learning, Inc. 2012
    162. 162. Four Digit Addition 1000 100 10 1 1 1 3658 + 2738 396© Activities for Learning, Inc. 2012
    163. 163. Four Digit Addition 1000 100 10 1 1 1 3658 + 2738 6396© Activities for Learning, Inc. 2012
    164. 164. Four Digit Addition 1000 100 10 1 1 1 3658 + 2738 6396© Activities for Learning, Inc. 2012
    165. 165. Short Division© Activities for Learning, Inc. 2012
    166. 166. Short Division 3) 4 7 1© Activities for Learning, Inc. 2012
    167. 167. Short Division 3) 4 7 1© Activities for Learning, Inc. 2012
    168. 168. Short Division 1 3) 4 7 1© Activities for Learning, Inc. 2012
    169. 169. Short Division 1 3) 4 7 1 1© Activities for Learning, Inc. 2012
    170. 170. Short Division 1 5 3) 4 7 1 1© Activities for Learning, Inc. 2012
    171. 171. Short Division 1 5 3) 4 7 1 2 1© Activities for Learning, Inc. 2012
    172. 172. Short Division 1 5 7 3) 4 7 1 2 1© Activities for Learning, Inc. 2012
    173. 173. Short Division 1 5 7 3) 4 7 1 2 1© Activities for Learning, Inc. 2012
    174. 174. Short Division 9) 8 0 5 3© Activities for Learning, Inc. 2012
    175. 175. Short Division 9) 8 0 5 3© Activities for Learning, Inc. 2012
    176. 176. Short Division 8 9) 8 0 5 3© Activities for Learning, Inc. 2012
    177. 177. Short Division 8 9) 8 0 5 3 8© Activities for Learning, Inc. 2012
    178. 178. Short Division 8 9 9) 8 0 5 3 8© Activities for Learning, Inc. 2012
    179. 179. Short Division 8 9 9) 8 0 5 3 8 4© Activities for Learning, Inc. 2012
    180. 180. Short Division 8 94 9) 8 0 5 3 8 4© Activities for Learning, Inc. 2012
    181. 181. Short Division 8 9 4 r7 9) 8 0 5 3 8 4© Activities for Learning, Inc. 2012
    182. 182. Short Division 8 9 4 r7 9) 8 0 5 3 8 4© Activities for Learning, Inc. 2012
    183. 183. Short Division 4) 9 3 6 2© Activities for Learning, Inc. 2012
    184. 184. Short Division 4) 9 3 6 2© Activities for Learning, Inc. 2012
    185. 185. Short Division 4) 9 3 6 2 2© Activities for Learning, Inc. 2012
    186. 186. Short Division 4) 9 3 6 2 1 2© Activities for Learning, Inc. 2012
    187. 187. Short Division 4) 9 3 6 2 1 23© Activities for Learning, Inc. 2012
    188. 188. Short Division 4) 9 3 6 2 1 1 23© Activities for Learning, Inc. 2012
    189. 189. Short Division 4) 9 3 6 2 1 1 234© Activities for Learning, Inc. 2012
    190. 190. Short Division 4) 9 3 6 2 1 1 2340© Activities for Learning, Inc. 2012
    191. 191. Short Division 4) 9 3 6 2 1 1 2 3 4 0 r2© Activities for Learning, Inc. 2012
    192. 192. Short Division 4) 9 3 6 2 1 1 2 3 4 0 r2© Activities for Learning, Inc. 2012
    193. 193. Multivides© Activities for Learning, Inc. 2012
    194. 194. Multivides • Self-checking multiplication and division exercise.© Activities for Learning, Inc. 2012
    195. 195. Multivides • Self-checking multiplication and division exercise. • Any remainder means a mistake was made somewhere.© Activities for Learning, Inc. 2012
    196. 196. Multivides 7 Start with any number. Multiply it by 2…© Activities for Learning, Inc. 2012
    197. 197. Multivides 7 x2 14 Start with any number. Multiply it by 2…© Activities for Learning, Inc. 2012
    198. 198. Multivides 7 x2 14 Start with any x3 number. 42 Multiply it by 2, then 3. . .© Activities for Learning, Inc. 2012
    199. 199. Multivides 7 x2 14 Start with any x3 number. 42 x4 Multiply it by 168 2, then 3, then 4. . .© Activities for Learning, Inc. 2012
    200. 200. Multivides 7 x2 14 Start with any x3 number. 42 x4 Multiply it by 168 x5 2, then 3, 840 then 4, and x6 on up 5 040 to 9. x7 35 280 x8 282 240 x9 2 540 160© Activities for Learning, Inc. 2012
    201. 201. Multivides 7 x2 14 Next divide the x3 total by 2. . . 42 x4 168 x5 840 x6 5 040 x7 35 280 x8 282 240 x9 2 540 160© Activities for Learning, Inc. 2012
    202. 202. Multivides 7 x2 14 Next divide the x3 2)2 540 160 total by 2. . . 42 1 270 080 x4 168 x5 840 x6 5 040 x7 35 280 x8 282 240 x9 2 540 160© Activities for Learning, Inc. 2012
    203. 203. Multivides 7 x2 14 Next divide by x3 2)2 540 160 2, then 3. . . 42 3)1 270 080 x4 423 360 168 x5 840 x6 5 040 x7 35 280 x8 282 240 x9 2 540 160© Activities for Learning, Inc. 2012
    204. 204. Multivides 7 x2 14 Next divide by x3 2)2 540 160 2, then 3, then 42 3)1 270 080 4. . . x4 4)423 360 168 105 840 x5 840 x6 5 040 x7 35 280 x8 282 240 x9 2 540 160© Activities for Learning, Inc. 2012
    205. 205. Multivides 7 x2 14 Next divide by x3 2)2 540 160 2, then 3, then 42 3)1 270 080 4, on up to 9. x4 4)423 360 168 5)105 840 x5 6)21 168 840 7)3 528 x6 8)504 5 040 x7 9)63 35 280 7 x8 282 240 x9 2 540 160© Activities for Learning, Inc. 2012
    206. 206. Multivides 7 x2 14 Final quotient x3 2)2 540 160 must equal 42 3)1 270 080 starting x4 4)423 360 number. 168 5)105 840 x5 6)21 168 840 7)3 528 x6 8)504 5 040 x7 9)63 35 280 7 x8 282 240 x9 2 540 160© Activities for Learning, Inc. 2012
    207. 207. Multivides A multivide a day keeps the flashcards away!© Activities for Learning, Inc. 2012
    208. 208. Check Numbers© Activities for Learning, Inc. 2012
    209. 209. Check Numbers • Method to check answers.© Activities for Learning, Inc. 2012
    210. 210. Check Numbers • Method to check answers. • Each number has a check number.© Activities for Learning, Inc. 2012
    211. 211. Check Numbers 34© Activities for Learning, Inc. 2012
    212. 212. Check Numbers 34 3+4=7© Activities for Learning, Inc. 2012
    213. 213. Check Numbers 34 (7) 3+4=7© Activities for Learning, Inc. 2012
    214. 214. Check Numbers 28© Activities for Learning, Inc. 2012
    215. 215. Check Numbers 28 2 + 8 = 10© Activities for Learning, Inc. 2012
    216. 216. Check Numbers 28 2 + 8 = 10; 1+0=1© Activities for Learning, Inc. 2012
    217. 217. Check Numbers 28 (1) 2 + 8 = 10; 1+0=1© Activities for Learning, Inc. 2012
    218. 218. Check Numbers 5635© Activities for Learning, Inc. 2012
    219. 219. Check Numbers 5635 5 + 6 = 11 and 3 + 5 = 8© Activities for Learning, Inc. 2012
    220. 220. Check Numbers 5635 5 + 6 = 11 and 3 + 5 = 8 1 + 1 = 2 + 8 = 10© Activities for Learning, Inc. 2012
    221. 221. Check Numbers 5635 5 + 6 = 11 and 3 + 5 = 8 1 + 1 = 2 + 8 = 10 1+0=1© Activities for Learning, Inc. 2012
    222. 222. Check Numbers 5635 (1) 5 + 6 = 11 and 3 + 5 = 8 1 + 1 = 2 + 8 = 10 1+0=1© Activities for Learning, Inc. 2012
    223. 223. Check Numbers 5635 6 + 3 = 9 = 0 and 5 + 5 = 10 = 1© Activities for Learning, Inc. 2012
    224. 224. Check Numbers 5635 (1) 6 + 3 = 9 = 0 and 5 + 5 = 10 = 1© Activities for Learning, Inc. 2012
    225. 225. Check Numbers 5635 (1) 6 + 3 = 9 = 0 and 5 + 5 = 10 = 1© Activities for Learning, Inc. 2012
    226. 226. Check Numbers 7146© Activities for Learning, Inc. 2012
    227. 227. Check Numbers 7146 7 + 1 = 8 and 4 + 6 = 10© Activities for Learning, Inc. 2012
    228. 228. Check Numbers 7146 7 + 1 = 8 and 4 + 6 = 10 8+1+0=9=0© Activities for Learning, Inc. 2012
    229. 229. Check Numbers 7146 (0) 7 + 1 = 8 and 4 + 6 = 10 8+1+0=9=0© Activities for Learning, Inc. 2012
    230. 230. Check Numbers • Method to check answers. • Each number has a check number. • When you calculate equations, the check numbers of the numbers will be the same as the check number of the answer.© Activities for Learning, Inc. 2012
    231. 231. Check Numbers 5635 + 28© Activities for Learning, Inc. 2012
    232. 232. Check Numbers 5635 + 28 5663© Activities for Learning, Inc. 2012
    233. 233. Check Numbers 5635 (1) + 28 5663© Activities for Learning, Inc. 2012
    234. 234. Check Numbers 5635 (1) + 28 (1) 5663© Activities for Learning, Inc. 2012
    235. 235. Check Numbers 5635 (1) + 28 (1) 5663 (2)© Activities for Learning, Inc. 2012
    236. 236. Check Numbers 5635 (1) + 28 (1) 5663 (2)© Activities for Learning, Inc. 2012
    237. 237. Check Numbers 8863 + 687© Activities for Learning, Inc. 2012
    238. 238. Check Numbers 8863 + 687 9550© Activities for Learning, Inc. 2012
    239. 239. Check Numbers 8863 (7) + 687 9550© Activities for Learning, Inc. 2012
    240. 240. Check Numbers 8863 (7) + 687 (3) 9550© Activities for Learning, Inc. 2012
    241. 241. Check Numbers 8863 (7) + 687 (3) 9550 (1)© Activities for Learning, Inc. 2012
    242. 242. Check Numbers 8863 (7) + 687 (3) 9550 (1)© Activities for Learning, Inc. 2012
    243. 243. Check Numbers 7146 x 7© Activities for Learning, Inc. 2012
    244. 244. Check Numbers 7146 x 7 50,022© Activities for Learning, Inc. 2012
    245. 245. Check Numbers 7146 (0) x 7 50,022© Activities for Learning, Inc. 2012
    246. 246. Check Numbers 7146 (0) x 7 (7) 50,022© Activities for Learning, Inc. 2012
    247. 247. Check Numbers 7146 (0) x 7 (7) 50,022 (0)© Activities for Learning, Inc. 2012
    248. 248. Check Numbers 7146 (0) x 7 (7) 50,022 (0)© Activities for Learning, Inc. 2012
    249. 249. Check Numbers ) 9 805 3© Activities for Learning, Inc. 2012
    250. 250. Check Numbers 89r7 ) 9 805 4 3© Activities for Learning, Inc. 2012
    251. 251. Check Numbers 89r7 (0) ) 9 805 4 3© Activities for Learning, Inc. 2012
    252. 252. Check Numbers 89r7 (0) ) 9 8 0 5 (7) 4 3© Activities for Learning, Inc. 2012
    253. 253. Check Numbers (3) (7) 89r7 (0) ) 9 8 0 5 (7) 4 3© Activities for Learning, Inc. 2012
    254. 254. Check Numbers (3) (7) 89r7 (0) ) 9 8 0 5 (7) 4 3 (3) x© Activities for Learning, Inc. 2012
    255. 255. Check Numbers (3) (7) 89r7 (0) ) 9 8 0 5 (7) 4 3 (3) x© Activities for Learning, Inc. 2012
    256. 256. Simplifying Fractions© Activitiesfor Learning, Inc. 2012© Activities for Learning, Inc. 2012
    257. 257. Simplifying Fractions© Activitiesfor Learning, Inc. 2012© Activities for Learning, Inc. 2012
    258. 258. Simplifying Fractions© Activitiesfor Learning, Inc. 2012© Activities for Learning, Inc. 2012
    259. 259. Simplifying Fractions© Activitiesfor Learning, Inc. 2012© Activities for Learning, Inc. 2012
    260. 260. Simplifying Fractions 21 28© Activitiesfor Learning, Inc. 2012© Activities for Learning, Inc. 2012
    261. 261. Simplifying Fractions 21 28© Activitiesfor Learning, Inc. 2012© Activities for Learning, Inc. 2012
    262. 262. Simplifying Fractions 21 28© Activitiesfor Learning, Inc. 2012© Activities for Learning, Inc. 2012
    263. 263. Simplifying Fractions 45 72© Activitiesfor Learning, Inc. 2012© Activities for Learning, Inc. 2012
    264. 264. Simplifying Fractions 45 72© Activitiesfor Learning, Inc. 2012© Activities for Learning, Inc. 2012
    265. 265. Simplifying Fractions 45 72© Activitiesfor Learning, Inc. 2012© Activities for Learning, Inc. 2012
    266. 266. Simplifying Fractions 12 16© Activitiesfor Learning, Inc. 2012© Activities for Learning, Inc. 2012
    267. 267. Simplifying Fractions 12 16© Activitiesfor Learning, Inc. 2012© Activities for Learning, Inc. 2012
    268. 268. Simplifying Fractions 12 16© Activitiesfor Learning, Inc. 2012© Activities for Learning, Inc. 2012
    269. 269. Simplifying Fractions 12 16© Activitiesfor Learning, Inc. 2012© Activities for Learning, Inc. 2012
    270. 270. Simplifying Fractions 12 16© Activitiesfor Learning, Inc. 2012© Activities for Learning, Inc. 2012
    271. 271. Simplifying Fractions 12 16© Activitiesfor Learning, Inc. 2012© Activities for Learning, Inc. 2012
    272. 272. Problem Solving© Activities for Learning, Inc. 2012
    273. 273. Problem Solving A problem is not a problem if the solution is obvious.© Activities for Learning, Inc. 2012
    274. 274. Problem Solving A problem is not a problem if the solution is obvious. Japanese teachers discuss one problem in depth rather than four problems superficially.© Activities for Learning, Inc. 2012
    275. 275. Problem Solving A problem is not a problem if the solution is obvious. Japanese teachers discuss one problem in depth rather than four problems superficially. They encourage multiple solutions.© Activities for Learning, Inc. 2012
    276. 276. Problem Solving A problem is not a problem if the solution is obvious. Japanese teachers discuss one problem in depth rather than four problems superficially. They encourage multiple solutions. Wrong solutions are discussed.© Activities for Learning, Inc. 2012
    277. 277. Problem Solving A problem is not a problem if the solution is obvious. Japanese teachers discuss one problem in depth rather than four problems superficially. They encourage multiple solutions. Wrong solutions are discussed. The students do not look for “key” words.© Activities for Learning, Inc. 2012
    278. 278. Critical Thinkers Ellis, D. Becoming a Master Student, 1997.© Activities for Learning, Inc. 2012
    279. 279. Critical Thinkers Critical Thinkers: distinguish between fact and opinion; Ellis, D. Becoming a Master Student, 1997.© Activities for Learning, Inc. 2012
    280. 280. Critical Thinkers Critical Thinkers: distinguish between fact and opinion; ask questions; Ellis, D. Becoming a Master Student, 1997.© Activities for Learning, Inc. 2012
    281. 281. Critical Thinkers Critical Thinkers: distinguish between fact and opinion; ask questions; make detailed observations; Ellis, D. Becoming a Master Student, 1997.© Activities for Learning, Inc. 2012
    282. 282. Critical Thinkers Critical Thinkers: distinguish between fact and opinion; ask questions; make detailed observations; uncover assumptions and define their terms; and Ellis, D. Becoming a Master Student, 1997.© Activities for Learning, Inc. 2012
    283. 283. Critical Thinkers Critical Thinkers: distinguish between fact and opinion; ask questions; make detailed observations; uncover assumptions and define their terms; and assertions based on sound logic and solid evidence. Ellis, D. Becoming a Master Student, 1997.© Activities for Learning, Inc. 2012
    284. 284. How to Assist Critical Thinking© Activities for Learning, Inc. 2012
    285. 285. How to Assist Critical Thinking How did you get your answer?© Activities for Learning, Inc. 2012
    286. 286. How to Assist Critical Thinking How did you get your answer? Why did that work?© Activities for Learning, Inc. 2012
    287. 287. How to Assist Critical Thinking How did you get your answer? Why did that work? Will that work every time?© Activities for Learning, Inc. 2012
    288. 288. How to Assist Critical Thinking How did you get your answer? Why did that work? Will that work every time? Be quiet! Allow processing and thinking time.© Activities for Learning, Inc. 2012
    289. 289. Math Puzzles and Brain Teasers Presented by Kathleen Cotter Lawler© Activities for Learning, Inc. 2012

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