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# 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
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