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Place Value Power-Up!

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Lesson Plan

Place Value Power-Up!

Students will be able to identify the value of a digit based on its position in multi-digit numbers up to the billions place.

Understanding place value is fundamental to comprehending larger numbers, performing operations like addition and subtraction with regrouping, and building a strong foundation for decimals and fractions. It helps students make sense of the numerical world around them!

Audience

5th Grade Students

Time

30 minutes

Approach

Interactive slides, an engaging game, and a collaborative activity.

Materials

Whiteboard or projector, Place Value Power-Up Slides, Markers/Pencils, Individual whiteboards (optional), Place Value Scramble Game materials (index cards with digits, place value chart), and Place Value Challenge Activity worksheet

Prep

Prepare Materials

15 minutes

  • Review the Place Value Power-Up Slides and familiarize yourself with the content.
    - Print and cut out digit cards (0-9) for the Place Value Scramble Game, one set per small group, and prepare a large place value chart for demonstration.
    - Make copies of the Place Value Challenge Activity worksheet, one per student.
    - Ensure whiteboard or projector is ready and markers are available.
    - Review the generated materials as needed to ensure a smooth lesson flow.

Step 1

Warm-Up: What's the Value?

5 minutes

  1. Begin by displaying a large multi-digit number on the board (e.g., 345,789,123).
    2. Ask students: 'What does each digit in this number represent?'
    3. Facilitate a brief discussion, guiding students to recall that the position of a digit gives it its value. Use the Place Value Power-Up Slides (Slide 1-2) to reinforce this concept.

Step 2

Direct Instruction: Place Value Power-Up

10 minutes

  1. Use the Place Value Power-Up Slides (Slide 3-7) to introduce and review place values from ones to billions.
    2. Explain how to read and write large numbers, emphasizing the periods (thousands, millions, billions).
    3. Model examples, asking students to identify the value of specific digits. Encourage participation and questions.

Step 3

Game: Place Value Scramble

10 minutes

  1. Divide students into small groups (3-4 students).
    2. Distribute the Place Value Scramble Game materials: a set of digit cards (0-9) and a small place value chart.
    3. Explain the game: Call out a number (e.g., 'Make the largest number possible with these digits,' or 'Create a number where the 7 is in the millions place').
    4. Groups race to arrange their digit cards correctly on their place value chart.
    5. The first group to correctly display the number explains their reasoning. Use the Place Value Power-Up Slides (Slide 8) to guide the game.

Step 4

Activity: Place Value Challenge

5 minutes

  1. Distribute the Place Value Challenge Activity worksheet.
    2. Students will complete the worksheet independently, applying their understanding of place value.
    3. Circulate and provide support as needed. This can serve as a quick assessment or a cool-down activity.
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Slide Deck

Place Value Power-Up!

Ready to unlock the power of numbers?

Welcome students and introduce the day's topic: Place Value. Start with an engaging question to activate prior knowledge.

What's the Value?

Look at the number below:

345,789,123

  • What does the '3' at the beginning represent?
  • What does the '3' at the end represent?
  • Why are they different?

Display a large number. Ask students to think about what each digit represents. Guide them towards understanding that a digit's position gives it its value.

Digits Have Power!

The place a digit holds in a number determines its value.

We use a base-10 system, meaning each place is 10 times greater than the place to its right.

Introduce the concept of place value and how it organizes numbers. Explain that we use a base-10 system.

The Ones Period

Let's start with what we know!

  • Hundreds
  • Tens
  • Ones

These three places make up the Ones Period.

Review the ones, tens, hundreds places. Emphasize the grouping of three digits into periods.

The Thousands Period

Moving to the left, we enter the Thousands Period:

  • Hundred Thousands
  • Ten Thousands
  • Thousands

Notice the pattern?

Introduce the thousands period. Use examples to show how the value increases.

Millions and Billions!

The pattern continues!

Millions Period:

  • Hundred Millions
  • Ten Millions
  • Millions

Billions Period:

  • Hundred Billions
  • Ten Billions
  • Billions

Continue with the millions and billions periods, reinforcing the pattern of hundreds, tens, and ones within each period.

Your Turn! What's the Value?

In the number 56,789,012,345

What is the value of the digit 8?







Answer: 800,000,000 (Eight Hundred Million)

Provide an example and ask students to identify the value of a specific digit. Encourage them to explain their reasoning.

Game On! Place Value Scramble!

Time to put your place value skills to the test!

How to Play:

  1. Get into your groups.
  2. Each group gets a set of digit cards and a place value mat.
  3. I will call out a number description.
  4. Race to arrange your digit cards on the mat to form the number!
  5. The first group to correctly display it wins the round!

Explain the Place Value Scramble Game rules. Remind students to work together in their groups.

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Game

Place Value Scramble Game

Objective:

To correctly arrange digit cards to form numbers based on given place value clues.

Materials:

  • A set of digit cards (0-9) for each group
  • A place value mat or chart for each group (showing ones to billions)
  • Timer (optional)

Instructions:

  1. Divide into small groups of 3-4 students.
  2. Each group receives one set of digit cards and a place value mat.
  3. The teacher will call out a number description or a specific place value challenge.
  4. Groups will race to use their digit cards to correctly form the number on their place value mat.
  5. The first group to correctly display the number and explain their reasoning (if asked) earns a point.
  6. Continue playing for several rounds.

Example Challenges:

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Activity

Place Value Challenge Activity

Name: ____________________________

Date: _____________________________

Part 1: Identifying Place and Value

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

  1. 456,789

    • Place:


    • Value:


  2. 9,012,345

    • Place:


    • Value:


  3. 789,123,456

    • Place:


    • Value:


  4. 12,345,670,987

    • Place:


    • Value:


Part 2: Writing Numbers

Write the following numbers in standard form.

  1. One hundred twenty-three million, four hundred fifty-six thousand, seven hundred eighty-nine



  2. Six billion, five hundred four million, twenty thousand, three hundred one



Part 3: Comparing Values

Answer the following questions.

  1. How many times greater is the value of the digit 7 in 7,000 than in 700?



  2. In the number 3,300,000, how does the value of the 3 in the millions place compare to the value of the 3 in the hundred thousands place?






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