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

By Formative Staff
Last updated 7 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.

  1. 1 triangle _______
  2. 1 rhombus _______
  3. 1 trapezoid _______
  4. 4 triangles _______
  5. 3 rhombuses _______
  6. 2 hexagons _______
  7. 1 hexagon and 1 trapezoid _______

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

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}? _______