Lesson 5

Expanded Form of Numbers

Lesson Purpose

The purpose of this lesson is for students to use expanded form and base-ten numerals to represent numbers within 1,000.

Lesson Narrative

In previous lessons, students represented three-digit numbers by recording how many of each unit (for example, 357 as 3 hundreds, 5 tens, 7 ones). They also connected representations of a number using the fewest number of base-ten blocks to the value of the digits in three-digit numbers.

In this lesson, students extend their understanding of ways to express the value of the digits in three-digit numbers to include expanded form. They represent three-digit numbers as the sum of the value of each digit (for example, \(357 = 300 + 50 + 7\)).

  • Action and Expression
  • MLR8

Learning Goals

Teacher Facing

  • Read, write, and represent three-digit numbers using base-ten numerals and expanded form.

Student Facing

  • Let’s represent three-digit numbers as a sum of the value of each digit.

Required Materials

Materials to Gather

Required Preparation

Activity 2:

  • Each group of 2 needs 3 number cubes.

CCSS Standards


Building Towards

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

As students represented numbers in expanded form and as three-digit numbers, what evidence did you see that they understand place value?

Suggested Centers

  • Greatest of Them All (1–5), Stage 1: Two-digit Numbers (Supporting)
  • Mystery Number (1–4), Stage 1: Two-digit Numbers (Supporting)

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