Lesson 6
Multiply Fractions
Lesson Purpose
The purpose of this lesson is for students to calculate areas of rectangles where both side lengths are nonunit fractions.
Lesson Narrative
As in previous lessons, students represent a product of fractions with a diagram. This diagram represents the product \(\frac{3}{6} \times \frac{4}{5}\). The diagram shows \(\frac{3}{6}\) of \(\frac{4}{5}\) of the square so that’s \(\frac{3}{6} \times \frac{4}{5}\). The number of shaded pieces is \(3 \times 4\), the product of the numerators. The number of pieces in the whole square is \(6 \times 5\), the product of the denominators. So the value of the product can also be written as \(\frac{3 \times 4}{6 \times 5}\). In the first activity, students relate expressions to the area in diagrams like this and then they use this structure to find products of nonunit fractions in the second activity.
 Action and Expression
Learning Goals
Teacher Facing
 Represent multiplication of two nonunit fractions with expressions.
Student Facing
 Let’s multiply two nonunit fractions using diagrams and expressions.
Required Preparation
CCSS Standards
Addressing
Lesson Timeline
Warmup  10 min 
Activity 1  15 min 
Activity 2  20 min 
Lesson Synthesis  10 min 
Cooldown  5 min 
Teacher Reflection Questions
Suggested Centers
 Rolling for Fractions (3–5), Stage 4: Multiply Fractions (Addressing)
 How Close? (1–5), Stage 7: Multiply Fractions and Whole Numbers to 5 (Supporting)
Print Formatted Materials
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