Lesson 5
Equivalent Multiplication Expressions
Lesson Purpose
The purpose of this lesson is for students to write equivalent expressions for the multiplication of a whole number and a unit fraction and explain the equivalence.
Lesson Narrative
In previous lessons, students multiplied unit and nonunit fractions by a whole number and represented their reasoning with diagrams and expressions.
In this lesson, students apply these understandings to explain how two multiplication expressions are equivalent. Students use what they know about multiple groups of unit fractions to explain how two different expressions result in the same product (MP7). (Students are not expected to use the term “equivalent expressions.”)
 Action and Expression
 MLR8
Learning Goals
Teacher Facing
 Write equivalent expressions for the multiplication of a fraction by a whole number and explain or show that the expressions are equivalent.
Student Facing
 Let's write multiplication expressions in different ways.
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
What did you say, do, or ask during the lesson synthesis that helped students be clear on the learning of the day?
Suggested Centers
 Rolling for Fractions (3–5), Stage 2: Multiply a Fraction by a Whole Number (Addressing)
 Estimate and Measure (1–4), Stage 3: Quarter Inches (Supporting)
 Target Measurements (2–5), Stage 2: Quarter Inches (Supporting)
Print Formatted Materials
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Additional Resources
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