Lesson 11 Generate Equivalent Fractions
Let’s generate equivalent fractions.
Warm-up Number Talk: Something Times 8
Find the value of each expression mentally.
Activity 1 Show Equivalence
Problem 1
The diagram represents 1.
What fraction does the shaded part of the diagram represent?
Jada says it represents
. Tyler is not so sure. Do you agree with Jada? If so, explain or show how you would convince Tyler that Jada is correct. If not, show your reasoning.
Problem 2
Each diagram represents 1.
Show that the shaded part of this diagram represents both
and . Show that the shaded part represents both
and . Show that the shaded part represents both
and .
Activity 2 More Than One Name
Problem 1
Each diagram represents 1. Write two fractions to represent the shaded part of each diagram.
Problem 2
Here’s another diagram.
What fraction does the shaded part of the diagram represent?
Write another fraction that it represents.
Practice Problem
Problem 1
Write as many fractions as you can that represent the shaded part of each diagram.