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 card-sort 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


Building Towards

Lesson Timeline

Warm-up 10 min
Activity 1 25 min
Activity 2 10 min
Lesson Synthesis 10 min
Cool-down 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

Teachers with a valid work email address can click here to register or sign in for free access to Cool Down, Teacher Guide, and PowerPoint materials.

Student Task Statements pdf docx
Lesson Cover Page pdf docx
Cool Down Log In
Teacher Guide Log In
Teacher Presentation Materials pdf docx
Blackline Masters zip

Additional Resources

Google Slides Log In
PowerPoint Slides Log In