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Place Value Power-Up!

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Lesson Plan

Place Value Power-Up!

Students will practice identifying the value of digits in whole numbers and decimals up to the thousandths place, understand how the position of a digit affects its value, and represent decimal numbers using base ten blocks.

Understanding place value is fundamental to all future math concepts, including decimals, fractions, and larger number operations. Mastering this skill ensures a strong foundation for mathematical success.

Audience

5th Grade

Time

35 minutes

Approach

Hands-on practice with place value charts, interactive challenges, an engaging game, and concrete representations with base ten blocks.

Materials

Prep

Teacher Preparation

15 minutes

Step 1

Introduction & Warm-Up

3 minutes

  • Display the first slide of the Place Value Power-Up! Slide Deck and greet students.
    - Begin with a quick review question: "What is place value? Why is it important?" (Teacher notes: Guide students to recall that place value tells us the value of a digit based on its position in a number.)

Step 2

Guided Practice: Whole Numbers

5 minutes

  • Project the slide with whole number examples.
    - Guide students through identifying the place and value of specific digits in a few examples.
    - Encourage students to explain their reasoning.
    - Distribute the Place Value Practice Worksheet and have students complete the whole number section individually or in pairs.

Step 3

Guided Practice: Decimals

5 minutes

  • Transition to the slide with decimal number examples.
    - Guide students through identifying the place and value of specific digits in a few decimal examples.
    - Emphasize the decimal point and how it separates whole numbers from fractional parts.
    - Have students complete the decimal section of the Place Value Practice Worksheet.

Step 4

Hands-on with Decimal Blocks

5 minutes

  • Introduce the Base Ten Blocks for Decimals slide. Explain how a flat represents one whole, a long represents one tenth (0.1), and a small unit cube represents one hundredth (0.01).
    - Have students use base ten blocks to represent a few decimal numbers (e.g., 1.23, 0.45). Circulate and provide support.

Step 5

Place Value Challenge Game

10 minutes

  • Introduce the Place Value Challenge Game.
    - Explain the rules and demonstrate a round.
    - Facilitate the game, providing support and clarification as needed.

Step 6

Wrap-Up & Review

2 minutes

Step 7

Cool Down: Reflection

5 minutes

  • Distribute the Place Value Cool Down.
    - Have students complete the cool-down independently.
    - Collect the cool-downs as an exit ticket to assess understanding.
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Slide Deck

Place Value Power-Up!

Let's boost our understanding of numbers!

Welcome students and introduce the topic. Ask them to think about what place value means.

Whole Number Wizardry

What is the value of the underlined digit?

  1. 5,432,100
  2. 128,765
  3. 9,000,000

Review the concept of place value using whole numbers. Ask students to identify the value of highlighted digits.

Decimal Detectives

What is the value of the underlined digit?

  1. 4.75
  2. 23.02
  3. 1.348

Transition to decimals. Explain how the decimal point works and review tenths, hundredths, and thousandths. Ask students to identify the value of highlighted digits.

Building Decimals with Blocks

Let's use our base ten blocks!

  • Flat: Represents 1 Whole
  • Long: Represents 1 Tenth (0.1)
  • Small Cube: Represents 1 Hundredth (0.01)

Try building: 1.23 and 0.45

Introduce base ten blocks for decimals. Explain that a flat can be a whole, a long a tenth, and a small cube a hundredth. Guide students to build examples.

Ready for Action!

You've got this! Now let's practice our skills on the worksheet.

Summarize the key concepts and prepare for the worksheet. Encourage students to ask questions.

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Worksheet

Place Value Practice Worksheet

Name: _________________________ Date: _________________

Part 1: Whole Number Power-Up!

Directions: For each number, identify the place and value of the underlined digit.

  1. 45,382

    • Place:


    • Value:


  2. 7,105,923

    • Place:


    • Value:


  3. 120,678

    • Place:


    • Value:


  4. 8,941

    • Place:


    • Value:


  5. 532

    • Place:


    • Value:


Part 2: Decimal Detectives!

Directions: For each number, identify the place and value of the underlined digit.

  1. 3.61

    • Place:


    • Value:


  2. 0.09

    • Place:


    • Value:


  3. 12.503

    • Place:


    • Value:


  4. 4.728

    • Place:


    • Value:


  5. 0.007

    • Place:


    • Value:


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Answer Key

Place Value Practice Answer Key

Part 1: Whole Number Power-Up!

Directions: For each number, identify the place and value of the underlined digit.

  1. 45,382

    • Place: Tens
    • Value: 80

  2. 7,105,923

    • Place: Millions
    • Value: 7,000,000

  3. 120,678

    • Place: Thousands
    • Value: 0

  4. 8,941

    • Place: Tens
    • Value: 40

  5. 532

    • Place: Hundreds
    • Value: 500

Part 2: Decimal Detectives!

Directions: For each number, identify the place and value of the underlined digit.

  1. 3.61

    • Place: Tenths
    • Value: 0.6

  2. 0.09

    • Place: Hundredths
    • Value: 0.09

  3. 12.503

    • Place: Tenths
    • Value: 0.5

  4. 4.728

    • Place: Thousandths
    • Value: 0.008

  5. 0.007

    • Place: Hundredths
    • Value: 0.00
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Game

Place Value Challenge Game!

Goal: Be the first to create the largest or smallest number based on a roll of the dice!

Materials:

  • One 6-sided die per group (or digital dice)
  • Place value mat (can be drawn on paper or mini whiteboards) with spaces for: Millions, Hundred Thousands, Ten Thousands, Thousands, Hundreds, Tens, Ones . Tenths, Hundredths, Thousandths (up to two of each per student/group).
  • Pencil and paper for each student

Instructions:

  1. Set Up: Each student or pair draws a place value mat with spaces for digits (e.g., millions to thousandths). Decide as a group if you are trying to make the largest number or the smallest number for the round.

  2. Rolling & Placing: Take turns rolling the die. After each roll, every student must place that digit in one of the empty spaces on their place value mat. Once a digit is placed, it cannot be moved for that round.

  3. Filling the Mat: Continue rolling and placing digits until all the spaces on the place value mat are filled.

  4. Compare & Win: Once all spaces are filled, each student reads their number aloud. The student who successfully created the largest (or smallest, depending on the round's goal) number wins that round!

Example Round (Target: Largest Number):

  • Spaces: Hundreds, Tens, Ones, . Tenths, Hundredths
  • Roll 1: 5 (Student places in Hundreds place: 5__._ _)
  • Roll 2: 2 (Student places in Tenths place: 5_.2)
  • Roll 3: 6 (Student places in Ones place: 5_6.2)
  • Roll 4: 1 (Student places in Hundredths place: 5_6._21)
  • Roll 5: 4 (Student places in Tens place: 546._21)

Discussion Points:

  • "What strategies did you use when deciding where to place your digits?"
  • "How did trying to make the largest number compare to making the smallest number?"
  • "Did the decimal point change your strategy? How?"
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Cool Down

Place Value Cool Down

Name: _________________________ Date: _________________

Directions: Answer the following questions to show what you've learned about place value.

  1. Explain in your own words why the position of a digit matters in a number. Give an example.





  2. What is the value of the digit '3' in the number 7,345.981?


  3. Write one question you still have about place value, or one thing you found challenging today.





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