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Problem 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?

Problem 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

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Page 1: Problem 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

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?

Page 2: Problem 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

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?

Page 3: Problem 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

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?

Page 4: Problem 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

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

Page 5: Problem 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

What am I trying to find out?

• How many cubes are in each pile so that the total number of cubes used is 20.

Page 6: Problem 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

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

- -

-- -

- -

--

--

501

Page 7: Problem 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

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.