# 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?

## Activity 1 Same Size, Different Numbers

## Problem 1

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

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

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 **equivalent**.”

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

## Activity 2 Fractions on Number Lines

## 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

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

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.

## Practice Problem

## Problem 1

Use the fraction strips to name three pairs of equivalent fractions. Explain how you know the fractions are equivalent.