Unit 2, Lesson 9

Explain Equivalence

Grade 4

Warm-up

Find the value of each expression mentally.

Andre, Lin, and Clare will represent on a number line.

Andre says, “Oh, no! We’ll need to partition the line into 100 equal parts and count 70 parts just to mark one point!”
Lin says, “What if we mark instead? We could partition the line into just 10 parts and count 7 parts.”
Clare says, “What if we partition the line into 5 parts and mark ?”

Do you agree with any of them? Explain or show your reasoning.

Around the room you will find 6 posters, each showing either 2 or 3 fractions.

With your group, visit at least 2 posters: one with 2 fractions and one with 3 fractions.

For the poster with 2 fractions:

Explain or show how you know the fractions are equivalent.
Write a new equivalent fraction on a sticky note and add it to the poster. Try to find a fraction that hasn’t already been written by someone else.

We visited poster __________, which shows __________ and __________.

New equivalent fraction: __________

For the poster with 3 fractions:

Identify 2 fractions that are equivalent. Explain your reasoning.

We visited poster __________, which shows __________, __________, and __________.

__________ and __________ are equivalent fractions.