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Unit 5 - Lesson 12 - Grade 3: Illustrative Mathematics

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Last updated about 1 year ago
21 questions
Note from the author:
Lesson: Equivalent Fractions on a Number Line
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Cool Down: Equivalence on the Number Line
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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®

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.

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Question 1
1.

What do you notice?

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Question 2
2.

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.
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Question 3
3.

Elena ran

Han ran

Did each student run the same distance on the trail?

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Question 4
4.

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Locate and Pair

Question 6
6.

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.
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Question 7
7.
_______ = _______
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Question 8
8.
_______ = _______
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Question 9
9.
_______ = _______
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Question 10
10.
Question 11
11.

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.
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Question 20
20.

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

Question 21
21.

Explain your reasoning.

Jada ran

Kiran ran

Did each student run the same distance on the trail?
Question 5
5.

Lin ran

Mai ran

Did each student run the same distance on the trail?

_______ = _______
Question 12
12.

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.

Question 13
13.

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.

Question 14
14.

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.

Question 15
15.

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.

Question 16
16.

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.

Question 17
17.

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.

Question 18
18.

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.

Question 19
19.

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.