Unit 5 - Lesson 12 - Grade 3: Illustrative Mathematics

Last updated 11 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®

Instructions

Grade 3 Unit 5
Lesson 12: Equivalent Fractions on a Number Line
CC BY 2021 Illustrative Mathematics®

Lesson: Equivalent Fractions on a Number Line

Cool Down: Equivalence on the Number Line

Unit 5 - Lesson 12 - Grade 3: Illustrative Mathematics

Last updated 11 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®

Instructions

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?

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:
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.

Cool Down: Equivalence on the Number Line

Unit 5 - Lesson 12 - Grade 3: Illustrative Mathematics

Unit 5 - Lesson 12 - Grade 3: Illustrative Mathematics

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

What do you notice?

What do you wonder?

Running Part of a Trail

Elena ran Han ranDid 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 onenumber line if you wish.

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

Rolling for Equivalent Fractions

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

Explain your reasoning.

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

What do you notice?

What do you wonder?

Running Part of a Trail

Elena ran Han ranDid each student run the same distance on the trail?

Jada ranKiran ranDid each student run the same distance on the trail?

Lin ranMai ranDid 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 onenumber line if you wish.

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

Rolling for Equivalent Fractions

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.

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

Explain your reasoning.

Jada ranKiran ranDid each student run the same distance on the trail?

Lin ranMai ranDid each student run the same distance on the trail?

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.

Elena ran

Han 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.

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.

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.

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?

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.