# Lesson 4 Same Size, Related Sizes

• Let’s find some fractions that are the same size.

## Warm-up Notice and Wonder: A Fraction Strip and a Number Line

What do you notice? What do you wonder?

## Problem 1

Here’s a diagram of fraction strips, with two strips added for tenths and twelfths.

1. Use a blank strip to show tenths. Label the parts. How did you partition the strip?

2. Use a blank strip to show twelfths. Label the parts. How did you partition the strip?

## Problem 2

Jada says, “I noticed that one part of is the same size as two parts of and three parts of . So , , and must be equivalent.”

Find a fraction that is equivalent to each of the following fractions. Be prepared to explain your reasoning.

## Problem 1

Here are some number lines. The point on this number line shows the fraction .

Label the tick marks on each number line.

## Problem 2

Suppose you are to locate , , and on one of the number lines.

1. Which number line would you use for each fraction? Be prepared to explain your reasoning.

2. Locate and label each fraction (, , and ) on a different number line.

## Problem 3

Locate and label each of the following fractions on one of the number lines.