Lesson 2
Representations of Equal Groups of Fractions
Lesson Purpose
The purpose of this lesson is for students to interpret and generate diagrams and expressions that represent multiplication of a whole number and a unit fraction in order to find the value of the product.
Lesson Narrative
In this lesson, students interpret and relate multiplication expressions and diagrams that represent products of whole numbers and fractions. After matching expressions and diagrams in a cardsort activity, they practice using diagrams and expressions to find the result of multiplying a whole number and a fraction. They draw a diagram given a multiplication expression, or write an expression given a diagram (MP2).
 Engagement
 MLR8
Activity 1: Card Sort: Expressions and Diagrams
Learning Goals
Teacher Facing
 Interpret diagrams and expressions that represent multiplication of a whole number and a unit fraction.
 Use diagrams and expressions to represent and find the product of a whole number and a unit fraction.
Student Facing
 Let’s look at diagrams and expressions that can help us multiply a whole number and a fraction.
Required Materials
Materials to Copy
 Expressions and Diagrams
Required Preparation
Activity 1:
 Create a set of cards from the blackline master for each group of 2.
CCSS Standards
Lesson Timeline
Warmup  10 min 
Activity 1  25 min 
Activity 2  10 min 
Lesson Synthesis  10 min 
Cooldown  5 min 
Teacher Reflection Questions
Revisit class norms and routines. Are all students contributing to the conversation? Do some students’ ideas seem to hold more value in the dynamics of the group? Are there any adjustments you might make so that all students do math tomorrow?
Suggested Centers
 Rolling for Fractions (3–5), Stage 1: Equivalent Fractions (Supporting)
 Compare (1–5), Stage 5: Fractions (Supporting)
Print Formatted Materials
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Additional Resources
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