Lesson 6

Represent Numbers with Expressions

Lesson Purpose

The purpose of this lesson is for students to demonstrate their understanding of place value by composing and decomposing numbers within 1,000 in different ways.

Lesson Narrative

In this lesson, students practice using place value reasoning to compose and decompose units to find unknown numbers and create equivalent forms of three-digit numbers. They find the unknown numbers that make expressions equivalent and match expressions that represent the same number.

Although students should have access to base-ten blocks and tools to create base-ten diagrams as needed, students should also be encouraged to reason mentally based on their understanding of place value. The work of this lesson will support students’ work with adding and subtracting within 1,000 and developing students’ fluency in adding and subtracting within 100.

The cool-down should be completed before the lesson synthesis so that students can share their responses during the lesson synthesis.

  • Engagement
  • MLR8

Learning Goals

Teacher Facing

  • Compose and decompose numbers within 1,000.
  • Create and match expressions of numbers within 1,000.

Student Facing

  • Let’s compose and decompose numbers to make equal expressions.

Required Materials

Materials to Gather

Materials to Copy

  • Match Expressions Cards 2.9

Required Preparation

Activity 2:

  • Create a set of cards from the blackline master for each group of 2.

CCSS Standards


Lesson Timeline

Warm-up 10 min
Activity 1 20 min
Activity 2 15 min
Lesson Synthesis 10 min
Cool-down 5 min

Teacher Reflection Questions

In future lessons, students will be working on developing fluency with addition and subtraction within 100. How does the work of this lesson support students in developing fluency with sums and differences within 100?

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