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

Last updated 11 months ago

7 questions

4.1: Equal-sized Groups

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

Eight $5 bills are worth $40.

There are 9 thirds in 3 ones.

4.2: Reasoning with Pattern Blocks

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"]

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

triangle _______ 
rhombus _______ 
trapezoid _______ 
triangles _______ 
rhombuses _______ 
hexagons _______ 
hexagon and 1 trapezoid _______ 

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

Eight $5 bills are worth $40.

There are 9 thirds in 3 ones.

Eight $5 bills are worth $40.

There are 9 thirds in 3 ones.

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.

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

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.

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

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

Eight $5 bills are worth $40.

There are 9 thirds in 3 ones.

Eight $5 bills are worth $40.

There are 9 thirds in 3 ones.

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.

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

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.

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

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

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