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Unit 3, Lesson 3

Multiply Unit Fractions

Grade 5

Warm-up

What is the area of the shaded region?

Diagram. Square, length and width, 1. Rectangle of length about 1 half and width about 1 fourth shaded.

Record an estimate that is:

too low	about right	too high

Activity 1

Square, length and width, 1. Partitioned into 2 rows of 4 of the same size rectangles. 1 rectangle shaded. — A

Square, length and width, 1. Partitioned into 3 rows of 4 of the same size rectangles. 1 rectangle shaded. — B

Diagram. Square, length and width, 1. Partitioned into 4 rows of 4 of the same size rectangles. 1 rectangle shaded. — C

Diagram. Square, length and width, 1. Partitioned into 5 rows of 4 of the same size rectangles. 1 rectangle shaded. — D

Choose one of the diagrams. Write a multiplication expression to represent the shaded region. How much of the whole square is shaded? Explain or show your reasoning.
Draw what you think the next diagram will look like if the pattern continues. Explain or show your reasoning.

Activity 2

Write a multiplication equation to represent the area of the shaded piece.
How does the diagram represent the equation ? Explain or show your reasoning.
Find the value that makes each equation true. Use a diagram if it is helpful.