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

Addressing

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)

Print Formatted Materials

For access, consult one of our IM Certified Partners.

Additional Resources

Google Slides

For access, consult one of our IM Certified Partners.

PowerPoint Slides

For access, consult one of our IM Certified Partners.