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Unit 5 - Lesson 12 - Grade 3: Illustrative Mathematics

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Last updated about 2 months ago
21 Questions
Note from the author:
Grade 3 Unit 5
Lesson 12: Equivalent Fractions on a Number Line
CC BY 2021 Illustrative Mathematics®
Grade 3 Unit 5
Lesson 12: Equivalent Fractions on a Number Line
CC BY 2021 Illustrative Mathematics®
Lesson: Equivalent Fractions on a Number Line

Notice and Wonder: Running on a Trail (Warm Up)

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

What do you notice?

What do you wonder?

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.

Elena ran

Han ran

Did each student run the same distance on the trail?

Jada ran

Kiran ran

Did each student run the same distance on the trail?

Lin ran

Mai ran

Did each student run the same distance on the trail?

Locate and Pair

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

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

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

Rolling for Equivalent Fractions

Directions:
  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:
Put the numbers you rolled in the boxes to make a statement that shows equivalent fractions.


Show or explain how your fractions are equivalent.

Round 2:
Put the numbers you rolled in the boxes to make a statement that shows equivalent fractions.


Show or explain how your fractions are equivalent.

Round 3:
Put the numbers you rolled in the boxes to make a statement that shows equivalent fractions.


Show or explain how your fractions are equivalent.

Round 4:
Put the numbers you rolled in the boxes to make a statement that shows equivalent fractions.


Show or explain how your fractions are equivalent.

Round 5:
Put the numbers you rolled in the boxes to make a statement that shows equivalent fractions.


Show or explain how your fractions are equivalent.

Round 6:
Put the numbers you rolled in the boxes to make a statement that shows equivalent fractions.


Show or explain how your fractions are equivalent.

Round 7:
Put the numbers you rolled in the boxes to make a statement that shows equivalent fractions.


Show or explain how your fractions are equivalent.

Round 8:
Put the numbers you rolled in the boxes to make a statement that shows equivalent fractions.


Show or explain how your fractions are equivalent.

Cool Down: Equivalence on the Number Line

Use the number line(s) to decide whether or not these fractions are equivalent.

Explain your reasoning.