# Lesson 15 An Assortment of Fractions

• Let’s find the heights of some stacked objects.

## Warm-up Which One Doesn’t Belong: Halves, Fourths, Sixths, and Eighths

Which one doesn’t belong?

## Activity 1 All the Way to the Top

Priya, Kiran, and Lin are using large playing bricks to make towers. Here are the heights of their towers so far:

• Priya: inches

• Kiran: inches

• Lin : inches

## Problem 1

For each question, show your reasoning.
How much taller is Lin’s tower compared to:

1. Priya’s tower?

2. Kiran’s tower?

## Problem 2

They are playing in a room that is 109 inches tall. Priya says that if they combine their towers to make a super tall tower, it would be too tall for the room and they’ll have to remove one brick.

Do you agree with Priya? Explain your reasoning.

## Activity 2 Stacks of Blocks

Andre is building a tower out of foam blocks. The blocks come in three different thicknesses: foot, foot, and foot.

1. Andre stacks one block of each size. Will that stack be more than 1 foot tall? Explain or show how you know.

2. Can Andre use only the -foot and -foot blocks to make a stack that is feet tall? If you think so, show one or more ways. If not, explain why not.

3. Can Andre use only the -foot and -foot blocks to make a stack that is feet tall? If so, show one or more ways. If not, explain why not.

## Problem 1

Andre is building a tower out of different foam blocks. These blocks come in three different thicknesses: -foot, -foot, and -foot.

Andre stacks two -foot blocks, two -foot blocks, and two -foot blocks to create a tower. What will the height of the tower be in feet? Explain or show how you know.