Tyler ran part of the length of a trail.
Han ran part of the length of the same trail.
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What do you notice?
What do you notice?
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What do you wonder?
What do you wonder?
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®
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?
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 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.
Directions:
Roll 6 number cubes. If you roll any fives, they count as a wild card and can be any number you’d like.
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.
If you cannot, re-roll as many number cubes as you’d like. You can re-roll your number cubes twice.
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.
Use the number line(s) to decide whether or not these fractions are equivalent.
Explain your reasoning.
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.
