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Student Page 1.5.5 Reflecting on Your Group's Work on the Four Numbers Problem

1.

Share your Four Numbers responses with your group. On your group member's sheet, highlight any expressions you find particularly interesting and any expressions you are unsure of so that you may discuss them together.

(a)

Do you agree with each of the solutions each group member found? If not, resolve any difficulties. Do not erase any of a student's original work. Instead, note any expressions over which group members had differences of opinion on the back of this page. Also indicate how you resolved them.

(b)

Look for similarities in how numbers were created. What do you notice?

2.

For which numbers did you and your group members have the most numerical expressions?

(a)

Write the numbers and as many different responses as you can in the table below.

Number Four Numbers Expression Number Four Numbers Expression
       
       
(b)

What made these responses easy to find?

3.

For which numbers did you and your group members have the smallest number of numerical expressions?

(a)

Write the numbers and the different responses group members found in the table below.

Number Four Numbers Expression Number Four Numbers Expression
       
       
(b)

What made these responses difficult to find?

4.

Were there any numbers for which your group found no numerical expressions using four numbers? Write the numbers below. We will work on these together as a class.