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Lesson Plan Template

  • Grade

  • Subject

  • Section

Third

Math

​

  • Competency

Place value

  • Aligned Standards

Number and Operations in Base Ten

  • Strand

3.NBT.A.1

  • Vocabulary

Standard form: A way of writing numbers using the digits 0-9.

Expanded form: A way of writing numbers to show the value of each digit (e.g., 1896 = 1000 + 800 + 90 + 6).

Place value: The value of where the digit is in the number (ones, tens, hundreds, thousands).

Form Flip

Convert Numbers From Expanded Form

Prerequisite Skill

Convert To and From a Number

Materials and Preparation

  • Whiteboard and markers
  • Place-value charts (one per student)
  • TeachTastic Worksheet Pack for Number Conversion
  • Visual aids (e.g., large place-value charts for demonstration)
  • Number cards (0-9)

Learning Objectives

  • Students will be able to convert numbers from expanded form to standard form.
  • Students will understand how each digit's place value contributes to the overall number.
  • Students will be able to explain the process of converting expanded form to standard form.

Introduction

Begin by discussing how numbers can be represented in different forms. Use an example number, such as 1896, and show it in expanded form. Explain that understanding both forms helps us see the value of each digit in a number.

Explicit Instruction/Teacher modeling

Explain the process of converting a number from expanded form to standard form. Demonstrate with the number 1896:

  • Write the expanded form 1000 + 800 + 90 + 6 on the board.
  • Break down each part: 1000 (thousands), 800 (hundreds), 90 (tens), 6 (ones).
  • Combine the values to get the standard form: 1896.

Guided Practice

Distribute place-value charts and the TeachTastic Worksheet Pack for Number Conversion. Work through a few problems together as a class. For example, ask students to convert 3000 + 400 + 20 + 5 to standard form. Guide them through each step, ensuring they understand the process.

Independent Practice

Have students complete additional problems from the TeachTastic Worksheet Pack independently. These should include converting various expanded forms to their corresponding standard forms.

Differentiation

Support

  • Provide one-on-one assistance to students who struggle with converting numbers.
  • Use manipulatives, such as base-ten blocks, to visually represent place values for students who need extra help.
  • Create small group sessions for targeted practice and review.

Extension

  • Challenge advanced students to work with larger numbers, including those in the ten thousands and hundred thousands.
  • Provide problems that require students to convert numbers with decimals from expanded form to standard form.
  • Encourage students to create their own numbers and practice converting them.

Assessment

Evaluate students' understanding through their performance on the worksheets and exit tickets. Review their answers to ensure they can accurately convert numbers from expanded form to standard form.

Review and closing

Summarize the key points of the lesson, emphasizing the importance of understanding both standard and expanded forms of numbers. Address any common misconceptions and answer any remaining questions. Allow students to share their observations and what they learned during the lesson.

Misconceptions

  • Confusing the value of digits in different place value positions.
  • Forgetting to include zeros in the expanded form (e.g., writing 1806 as 1000 + 800 + 6 instead of 1000 + 800 + 0 + 6).
  • Incorrectly combining values when converting from expanded form to standard form.
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