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ProblemUsing 20 cubes, make four piles so that the first pile contains 4 more cubes than the second pile, the second pile contains 1 cube less than the third pile, and the fourth pile contains twice as many cubes as the second pile.
How many cubes are in each pile?
CLARIFY
• To make clear, to remove misconceptions.
• You must answer the following questions to show an understanding of the problem.
What am I told? What am I trying to find out? Can I say it in my own words?
Using 20 cubes, make four piles so that the first pile contains 4 more cubes than the second pile, the second pile contains 1 cube less than the third pile, and the fourth pile contains twice as many cubes as the
second pile.
How many cubes are in each pile?
• What am I told?
• What am I trying to find out?
• Can I say it in my own words?
• Solve the problem. What strategy is best?
What am I told?
• 20 cubes
• 4 piles
• First pile, 4 more than second
• Second pile, one less than third
• Fourth has twice as many as second
What am I trying to find out?
• How many cubes are in each pile so that the total number of cubes used is 20.
Solve the problem Strategy: Guess, Check and Refine
Pile 1 Pile 2 Pile 3 Pile 4 Total
1
2
3
4
5
6
7
8
-3
0
1 2 2 10
2 3 4 15
3 4 206
Write your answer in a sentence
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501
Write your answer in a sentence
If I use 20 blocks, the first pile has 7 blocks, the second pile has 3 blocks, the third pile has 4 blocks and the four pile has 6 blocks.