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Unit 5 - Lesson 12 - Grade 3: Illustrative Mathematics

Last updated 9 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.

1

What do you notice?

1

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.
1

Elena ran

Han ran

Did each student run the same distance on the trail?

1

Jada ran

Kiran ran

Did each student run the same distance on the trail?

1

Lin ran

Mai ran

Did each student run the same distance on the trail?

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.

Find 4 pairs of fractions that are equivalent. Write equations to represent them.
1
_______ = _______
1
_______ = _______
1
_______ = _______
1
_______ = _______
1

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.
1

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.

1

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.

1

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.

1

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.

1

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.

1

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.

1

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.

1

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
1

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

1

Explain your reasoning.