Unit 4, Lesson 8# Relate fraction of a set to the repeated addition interpretation of fraction multiplication.

EngageNY 60 min(s)

In this lesson, students begin using the commutative property to relate the fraction of a set to the repeated addition interpretation of multiplication by a fraction. This offers opportunities for students to reason about various strategies for multiplying fractions and whole numbers. They will use the commutative property and repeated addition to rewrite the multiplication expression. For example, 2/3 x 6 = 2/3 x 6 = 2/3 + 2/3 + 2/3 + 2/3 + 2/3 + 2/3 = (2 x 6)/3 = 12/3 =4. They will rename fractions by dividing by the common factors to make the problems easier to do mentally.