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IM: 6.4.4: How Many Groups? (Part 1) (Lesson)

Last updated over 1 year ago

7 Nsɛmmisa

4.1: Equal-sized Groups

4.2: Reasoning with Pattern Blocks

Write a multiplication equation and a division equation for each sentence or diagram.

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1.

Eight $5 bills are worth $40.

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2.

There are 9 thirds in 3 ones.

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3.

Use the pattern blocks in the applet to answer the questions. (If you need help aligning the pieces, you can turn on the grid.)

https://curriculum.illustrativemathematics.org/MS/students/1/4/4/index.html

[Scroll to the tool under "4.2: Reasoning with Pattern Blocks"]

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4.

If a hexagon represents 1 whole, what fraction do each of the following shapes represent? Be prepared to show or explain your reasoning.

1 triangle
1 rhombus
1 trapezoid
4 triangles
3 rhombuses
2 hexagons
1 hexagon and 1 trapezoid

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5.

Here are Elena’s diagrams for 2 \cdot 1/2 = 1 and 6 \cdot 1/3 = 2. Do you think these diagrams represent the equations? Explain or show your reasoning.

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6.

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Use (or draw) pattern blocks to represent each multiplication equation. Remember that a hexagon represents 1 whole. a. 3 \cdot 1/6 = 1/2

b. 2 \cdot 3/2 = 3

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7.

Answer the questions. If you get stuck, consider using pattern blocks.

a. How many 1/2s are in 4?

b. How many 2/3s are in 2?

c. How many 1/6s are in 1\frac{1}{2}?