Lesson 10 Equivalent Fractions

    • Let’s identify equivalent fractions.

Warm-up Choral Count: One-halves

Count by , starting at .
What patterns do you see?

Activity 1 Equivalent to

  1. For which shapes is the shaded portion of the shape? Be prepared to share your reasoning.

    1. Diagram. Square partitioned into 4 equal parts, 2 of them shaded.
    2. Diagram. Square partitioned into 4 equal parts, 3 parts shaded.
    3. Diagram. Square partitioned into 2 equal parts, 1 part shaded.
    4. Diagram. Square partitioned into 4 parts, 2 shaded.
    5. Diagram. Square partitioned into 2 equal parts, 1 part shaded.
    6. Diagram. Square partitioned into 2 parts, 1 part shaded.

  2. How can there be more than one way of shading a shape to show ?

Activity 2 Find Equivalent Fractions

Use your fraction strips from an earlier lesson to find as many equivalent fractions as you can that are equivalent to:

Be prepared to show how you know the fractions are equivalent.

Practice Problem

Problem 1

Select all correct statements.

Diagram. Rectangle partitioned into 2 equal parts, each labeled one half.
Diagram. Rectangle partitioned into 3 equal parts, each labeled one third.
Diagram. Rectangle partitioned into 4 equal parts, each part labeled one fourth.
Diagram. Rectangle partitioned into 6 equal parts, each labeled one sixth.

  1. is equivalent to

  2. is equivalent to

  3. is equivalent to

  4. is equivalent to

  5. is equivalent to

  6. is equivalent to