# How Many Groups? (part 1)

- Author:
- Rochelle Ariola, IM 6 – 8 Math, IM 6 - 8 Math

- Topic:
- Fractions

**4.1 Equal-sized Groups**Write a multiplication equation and a division equation for each statement or diagram.

## Select two answers.

1. Eight $5 bills are worth $40.

## Select two answers.

2. There are 9 thirds in 3 ones.

## Select two answers.

(see image above)

**4.2 Reasoning with Pattern Blocks**Use the pattern blocks in the applet to answer the questions

**If a hexagon represents 1 whole, what fraction do each of the following shapes represent?**

**1 triangle?**

**1 rhombus?**

**1 trapezoid?**

**4 triangles?**

**3 rhombuses?
**
*Enter your answer in simplest form.*

**2 hexagons?
**
*Enter your answer in simplest form.*

**1 hexagon and 1 trapezoid?
**
*Enter your answer as a mixed number. Be sure there is a space between the whole number and fraction.*

Here are Elena's diagrams for and . Do you think these diagrams represent the equations? Explain your reasoning.

## Use pattern blocks to represent 3 x 1/6 = 1/2.

## Use pattern blocks to represent 2 x 3/2 = 3.

**4.3 (Cool Down) Halves, Thirds and Sixths**

## Answer the following questions. If you get stuck, use pattern blocks.

a. How manys are in ?

b. How many s are in ?

c. How many s are in ?