Section B Section B Checkpoint

Problem 1

There are 24 students in the choir. They are standing in 3 equal rows. How many students are in each row? Select all equations that represent this situation.

A
3×12=?3 \times 12 = {?}
B
3×?=243 \times {?} = 24
C
24×3=?24 \times 3 = {?}
D
?÷24=3{?} \div 24 = 3
E
24÷3=?24 \div 3 = {?}

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Solution
B, E
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Sample Response
B, E

Problem 2

Han knows 4×5=204 \times 5 = 20 and 4×3=124 \times 3 = 12.

Mark or shade the diagram to show how Han can use these facts to find the value of 4×84 \times 8. Explain your reasoning.

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Solution
Sample response:

Shaded diagram.

The shaded part is 4×54 \times 5 or 20 and the unshaded part is 4×34 \times 3, or 12, so the total number of small squares is 20+1220 + 12 or 32. It's also 4×84 \times 8.

Show Sample Response
Sample Response
Sample response:

Shaded diagram.

The shaded part is 4×54 \times 5 or 20 and the unshaded part is 4×34 \times 3, or 12, so the total number of small squares is 20+1220 + 12 or 32. It's also 4×84 \times 8.

Problem 3

Find the value of each product.

  1. 5×3=5 \times 3=\underline{\hspace{1 cm}}
  2. 6×3=(5×3)+6 \times 3=(5\times3)+\underline{\hspace{1 cm}}
  3. 6×6=(6×3)×6 \times 6=(6\times3)\times\underline{\hspace{1 cm}}
Show Solution
Solution
  1. 15
  2. 3 or 1×31\times3
  3. 2
Show Sample Response
Sample Response
  1. 15
  2. 3 or 1×31\times3
  3. 2