# Lesson 12 Equivalent Fractions on a Number Line

• Let’s find fractions at the same location.

## Warm-up Notice and Wonder: Running on a Trail

What do you notice? What do you wonder?

Tyler ran part of the length of a trail.
Han ran part of the length of the same trail.

## Activity 1 Running Part of a Trail

Some students are running on a trail at a park. Decide if each pair of students ran the same distance.

You can use number lines if they are helpful to you.

1. Elena ran of the trail.

Han ran of the trail.

2. Jada ran of the trail.

Kiran ran of the trail.

3. Lin ran of the trail.

Mai ran of the trail.

## Activity 2 Locate and Pair

1. Locate and label the following numbers on a number line. You can use more than one number line if you wish.

, , , , , , , , , ,

2. Find 4 pairs of fractions that are equivalent. Write equations to represent them.

3. If you have time… Use the number lines to generate as many equivalent fractions as you can.

## Activity 3 Rolling for Equivalent Fractions

1. Roll 6 number cubes. If you roll any fives, they count as a wild card and can be any number you’d like.

2. Can you put the numbers you rolled in the boxes to make a statement that shows equivalent fractions? Work with your partner to find out.

3. If you cannot, re-roll as many number cubes as you’d like. You can re-roll your number cubes twice.

4. If you can make equivalent fractions, record your statement and show or explain how you know the fractions are equivalent. You get 1 point for each pair of equivalent fractions you write.

Round 1:

Show or explain how your fractions are equivalent.

Round 2:

Show or explain how your fractions are equivalent.

Round 3:

Show or explain how your fractions are equivalent.

Round 4:

Show or explain how your fractions are equivalent.

Round 5:

Show or explain how your fractions are equivalent.

Round 6:

Show or explain how your fractions are equivalent.

Round 7:

Show or explain how your fractions are equivalent.

Round 8:

Show or explain how your fractions are equivalent.

## Problem 1

1. Tyler draws this picture and says that is equivalent to . Explain why Tyler is not correct.

2. Find a fraction equivalent to .

3. Find a fraction equivalent to .