Day 1, Session 2 - The Progression of Multiplication and Division
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The document discusses progression of multiplication and division concepts through examples of doughnuts and splitting them between classes. It uses visual representations and step-by-step working to solve word problems involving multiplying and dividing large numbers. Interactive examples are provided to reinforce concepts like area, distributive property, and setting up multi-step word problems algebraically.
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Day 1, Session 2 - The Progression of Multiplication and Division
- 1. Progression of Multiplication and Division @MathletePearcewww.tapintoteenminds.com tapintoteenminds.com/sudbury
- 89. @MathletePearcewww.tapintoteenminds.com 2 Iconic Visual 1 3Enactive Concrete Symbolic Abstract “BE MORE PRINCE”
- 96. What Do You… Notice? Wonder?
- 97. How many doughnuts are there? Make a Prediction
- 98. Update Your Prediction 32 doughnuts 25doughnuts
- 99. Update Your Prediction 32 doughnuts 25doughnuts 800
- 100. Update Your Prediction 32 doughnuts 25doughnuts 800
- 102. DOUBLE DOZEN
- 103. DOUBLE DOZEN 2 x 100 x 12
- 104. DOUBLE DOZEN 2 x 100 x 12 = 2,400
- 105. 2 x 100 x 12 = 2,400
- 106. Side View 2,400
- 108. 2,400
- 109. If your school bought this box of doughnuts to split between 8 classes, how many would each class get? 2,400 8 2,400
- 110. @MathletePearcewww.tapintoteenminds.com If your school bought this box of doughnuts to split between 8 classes, how many would each class get? 2,400 2,392 2,384 8 88 8- 2,384 2,392 8- 2,400 1 group of 8 1 group of 8
- 111. @MathletePearcewww.tapintoteenminds.com If your school bought this box of doughnuts to split between 8 classes, how many would each class get? 2,400 2,32080 80 2,240 80- 2,320 2,400 10 groups of 8 80- 2,240 10 groups of 8
- 112. @MathletePearcewww.tapintoteenminds.com If your school bought this box of doughnuts to split between 8 classes, how many would each class get? 2,400 800- 800 100 groups of 8 1,600 800- 100 groups of 8 800 800800 800 800- 100 groups of 8 0 300 groups of 8300 8 8 8 8
- 113. @MathletePearcewww.tapintoteenminds.com If your school bought this box of doughnuts to split between 8 classes, how many would each class get? 2,400 800- 800 100 groups of 8 1,600 800- 100 groups of 8800 800800 800 800- 100 groups of 8 0 300 groups of 8 300 88888
- 116. @MathletePearcewww.tapintoteenminds.com APPLY: Distributive Property = ?÷195 15 19515 ? 15 195 - 15 180
- 117. @MathletePearcewww.tapintoteenminds.com APPLY: Distributive Property = ?÷195 15 195 15 ? 15 195 - 15 180 180
- 118. @MathletePearcewww.tapintoteenminds.com APPLY: Distributive Property = ?÷195 15 195 15 ? 15 195 - 15 180 18015
- 119. @MathletePearcewww.tapintoteenminds.com APPLY: Distributive Property = ?÷195 15 195 15 ? 15 195 - 15 180 18015 - 15 165 165
- 120. @MathletePearcewww.tapintoteenminds.com APPLY: Distributive Property = ?÷195 15 195 15 15 195 - 15 180 180 15 - 15 165 165 15 - 15 150 150 ? 15 15 15 15 15 15 15 15 15 15 1 1 1 1 1 1 1 1 1 1 1 1 1 - 15 . . .
- 121. @MathletePearcewww.tapintoteenminds.com APPLY: Distributive Property = 13÷195 15 195 15 15 195 - 15 180 180 15 - 15 165 165 15 - 15 150 150 15 15 15 15 15 15 15 15 15 15 - 15 . . . 13
- 122. @MathletePearcewww.tapintoteenminds.com APPLY: Distributive Property = ?÷195 15 195 15 15 195 - 15 180 180 15 - 15 165 165 15 - 15 150 150 ?
- 123. @MathletePearcewww.tapintoteenminds.com APPLY: Distributive Property = ?÷195 15 195 15 15 195 - 15 180 180 15 - 15 165 165 15 - 15 150 150 ? - 15(10) 150 - 150 0
- 124. @MathletePearcewww.tapintoteenminds.com ? APPLY: Distributive Property = 13÷195 15 195 15 1 15 195 - 15 180 180 15 - 15 165 165 15 - 15 150 150 1 1 10 - 15(10) 150 - 150 0
- 125. @MathletePearcewww.tapintoteenminds.com ? = 13÷195 15 195 15 1 15 195 - 15 180 180 15 - 15 165 165 15 - 15 150 150 1 1 10 - 15(10) 150 - 150 0 O PEN ARRAY 45 3
- 126. @MathletePearcewww.tapintoteenminds.com ? = 13÷195 15 15 1 15 195 - 15 180 15 - 15 165 15 - 15 150 150 1 1 10 - 15(10) 150 - 150 0 O PEN ARRAY 45 3
- 130. @MathletePearcewww.tapintoteenminds.com YO UR TURN A pool has a width of 14 m and an area of 700 m2. What is the length?
- 131. @MathletePearcewww.tapintoteenminds.com YO UR TURN A pool has a width of 14 m and an area of 700 m2. What is the length? 14 m 700 m2
- 132. @MathletePearcewww.tapintoteenminds.com YO UR TURN A pool has a width of 14 m and an area of 700 m2. What is the length? 14 m 700 m2 10 m 140 m2
- 133. @MathletePearcewww.tapintoteenminds.com YO UR TURN A pool has a width of 14 m and an area of 700 m2. What is the length? 14 m 560 m2 10 m 140 m2 700 - 140 560
- 134. @MathletePearcewww.tapintoteenminds.com YO UR TURN A pool has a width of 14 m and an area of 700 m2. What is the length? 14 m 420 m2 10 m 140 m2 700 - 140 560 10 m 140 m2 - 140 420
- 135. @MathletePearcewww.tapintoteenminds.com YO UR TURN A pool has a width of 14 m and an area of 700 m2. What is the length? 14 m 280 m2 10 m 140 m2 700 - 140 560 10 m 140 m2 - 140 420 10 m 140 m2 - 140 280
- 136. @MathletePearcewww.tapintoteenminds.com YO UR TURN A pool has a width of 14 m and an area of 700 m2. What is the length? 14 m 140 m2 10 m 140 m2 700 - 140 560 10 m 140 m2 - 140 420 10 m 140 m2 - 140 280 10 m 140 m2 - 140 140
- 137. @MathletePearcewww.tapintoteenminds.com YO UR TURN A pool has a width of 14 m and an area of 700 m2. What is the length? 14 m 140 m2 10 m 140 m2 700 - 140 56010 m 140 m2 - 140 420 10 m 140 m2 - 140 280 10 m 140 m2 - 140 140 10 m 140 m2 - 140 0
- 138. @MathletePearcewww.tapintoteenminds.com YO UR TURN A pool has a width of 14 m and an area of 700 m2. What is the length? 14 m 140 m2 10 m 140 m2 700 - 140 560 10 m 140 m2 - 140 420 10 m 140 m2 - 140 280 10 m 140 m2 - 140 140 10 m 140 m2 - 140 0 50 m 700 m2
- 141. @MathletePearcewww.tapintoteenminds.com A pool has a width of 3 m and an area of 12 times a number. What is the length?
- 142. @MathletePearcewww.tapintoteenminds.com 1 1 1 A pool has a width of 3 m and an area of 12 times a number. What is the length? 12x
- 143. @MathletePearcewww.tapintoteenminds.com 1 1 1 12x x A pool has a width of 3 m and an area of 12 times a number. What is the length?
- 144. @MathletePearcewww.tapintoteenminds.com 1 1 1 12x x x x x A pool has a width of 3 m and an area of 12 times a number. What is the length?
- 145. @MathletePearcewww.tapintoteenminds.com 1 1 1 9x x x x x A pool has a width of 3 m and an area of 12 times a number. What is the length? 12x - 3x 9x
- 146. @MathletePearcewww.tapintoteenminds.com 1 1 1 9x x x x x x A pool has a width of 3 m and an area of 12 times a number. What is the length? 12x - 3x 9x
- 147. @MathletePearcewww.tapintoteenminds.com 1 1 1 6x x x x x x x x x A pool has a width of 3 m and an area of 12 times a number. What is the length? 12x - 3x 9x - 3x 6x
- 148. @MathletePearcewww.tapintoteenminds.com 1 1 1 6x x x x x x x x x x A pool has a width of 3 m and an area of 12 times a number. What is the length? 12x - 3x 9x - 3x 6x
- 149. @MathletePearcewww.tapintoteenminds.com 1 1 1 3x x x x x x x x x x x x x A pool has a width of 3 m and an area of 12 times a number. What is the length? 12x - 3x 9x - 3x 6x - 3x 3x
- 150. @MathletePearcewww.tapintoteenminds.com 1 1 1 3x x x x x x x x x x x x x x x x x A pool has a width of 3 m and an area of 12 times a number. What is the length? 12x - 3x 9x - 3x 6x - 3x 3x - 3x 0x
- 151. @MathletePearcewww.tapintoteenminds.com 1 1 1 3x x x x x x x x x x x x x x x x x A pool has a width of 3 m and an area of 12 times a number. What is the length? 12x - 3x 9x - 3x 6x - 3x 3x - 3x 0x 4x
- 152. @MathletePearcewww.tapintoteenminds.com A pool has an area of 3x2 + 11x + 6. What are the dimensions?
- 153. @MathletePearcewww.tapintoteenminds.com A pool has an area of 3x2 + 11x + 6. What are the dimensions? x2 x2 x2 x x x x x x x x x x x 11 1 11 1
- 154. @MathletePearcewww.tapintoteenminds.com A pool has an area of 3x2 + 11x + 6. What are the dimensions? x2 x2 x2 x x x x x x x x x x x 11 1 11 1
- 155. @MathletePearcewww.tapintoteenminds.com A pool has an area of 3x2 + 11x + 6. What are the dimensions? x2 x2 x2 x x x x x x x x x x x 1 1 1 1 1 1
- 156. @MathletePearcewww.tapintoteenminds.com A pool has an area of 3x2 + 11x + 6. What are the dimensions? x2 x2 x2 x x x x x x x x x x x 1 1 1 1 1 1
- 157. @MathletePearcewww.tapintoteenminds.com A pool has an area of 3x2 + 11x + 6. What are the dimensions? x x 1 1 1 1 1 1 x2 x2 x2 x x x x x x x x x
- 158. @MathletePearcewww.tapintoteenminds.com A pool has an area of 3x2 + 11x + 6. What are the dimensions? x 1 1 1 1 1 1 x2 x2 x2 x x x x x x x x x x
- 159. @MathletePearcewww.tapintoteenminds.com A pool has an area of 3x2 + 11x + 6. What are the dimensions? x x2 x2 x2 x x x x x x x x x x 1 1 1 1 1 1
- 160. @MathletePearcewww.tapintoteenminds.com A pool has an area of 3x2 + 11x + 6. What are the dimensions? x 1 1 1 x2 x2 x2 x x x x x x x x x x 1 1 1
- 161. A pool has an area of 3x2 + 11x + 6. What are the dimensions? x 1 1 1 x2 x2 x2 x x x x x x x x x x 1 1 1
- 162. x x A pool has an area of 3x2 + 11x + 6. What are the dimensions? x 1 1 1 x2 x2 x2 x x x x x x x x x x 1 1 1
- 163. x x x A pool has an area of 3x2 + 11x + 6. What are the dimensions? x 1 1 1 x2 x2 x2 x x x x x x x x x x 1 1 1
- 164. x x x x A pool has an area of 3x2 + 11x + 6. What are the dimensions? x 1 1 1 x2 x2 x2 x x x x x x x x x x 1 1 1
- 165. x 1x x x A pool has an area of 3x2 + 11x + 6. What are the dimensions? x 1 1 1 x2 x2 x2 x x x x x x x x x x 1 1 1
- 166. x 1 1x x x A pool has an area of 3x2 + 11x + 6. What are the dimensions? x 1 1 1 x2 x2 x2 x x x x x x x x x x 1 1 1
- 167. x 1 1 1 x x x A pool has an area of 3x2 + 11x + 6. What are the dimensions? x 1 1 1 x2 x2 x2 x x x x x x x x x x 1 1 1
- 168. x 1 1 1 x 1 x x A pool has an area of 3x2 + 11x + 6. What are the dimensions? x 1 1 1 x2 x2 x2 x x x x x x x x x x 1 1 1
- 169. x 1 1 1 1 x 1 x x A pool has an area of 3x2 + 11x + 6. What are the dimensions? x 1 1 1 x2 x2 x2 x x x x x x x x x x 1 1 1
- 170. x 1 1 1 1 x 1 x x A pool has an area of 3x2 + 11x + 6. What are the dimensions? x 1 1 1 x2 x2 x2 x x x x x x x x x x 1 1 1 (x + 3)(3x + 2)
- 171. Concreteness Fading 1 2 3Enactive Concrete Iconic Visual Symbolic Abstract x 1 1 1 1 x 1 x x 1 1 1 x2 x x x x x x x 1 1 1 x2 x 3 6x 6 2x2 2x 2 2x = (2x + 2)(x + 3) 2x2 + 8x + 6 Factor: