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Value Vault!

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Lesson Plan

Value Vault!

Students will be able to identify the place value of digits in numbers up to the thousands place and understand how the position of a digit affects its value.

Understanding place value is fundamental to developing strong number sense. It helps students comprehend larger numbers, perform arithmetic operations with ease, and builds a crucial foundation for future mathematical concepts.

Audience

3rd Grade Students

Time

30 minutes

Approach

Through an engaging story and interactive activities.

Materials

Value Vault! Slide Deck, Place Value Challenge Worksheet, and Place Value Challenge Answer Key

Prep

Teacher Preparation

10 minutes

Step 1

Warm-Up: Number Hunt

5 minutes

  • Display a few large numbers on the board (e.g., 245, 1,368, 92).
    - Ask students to identify a specific digit and its place (e.g., "What is the value of the 4 in 245?").
    - Engage the class in a quick discussion to activate prior knowledge about numbers.

Step 2

Introduction: The Value Vault Story

7 minutes

  • Use the Value Vault! Slide Deck to introduce the concept of place value.
    - Tell a brief, engaging story about how each 'vault' (place) gives a digit its special 'value power.'
    - Emphasize that the same digit can have different values depending on its position.

Step 3

Guided Practice: Unlocking Values

8 minutes

  • Go through examples on the Value Vault! Slide Deck, asking students to identify the place value of underlined digits.
    - Use interactive questions and allow students to share their reasoning.
    - Work together to break down a few numbers into their expanded form (e.g., 1,368 = 1000 + 300 + 60 + 8).

Step 4

Independent Practice: Place Value Challenge

7 minutes

  • Distribute the Place Value Challenge Worksheet.
    - Instruct students to complete the worksheet independently, applying what they've learned.
    - Circulate to provide support and answer questions as needed.

Step 5

Cool-Down: Quick Check

3 minutes

  • Have students share one interesting thing they learned about place value today.
    - Collect the Place Value Challenge Worksheet to assess understanding.
    - Briefly recap the main idea: the position of a digit determines its value.
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Slide Deck

Value Vault!

Unlocking the Power of Place Value!

Greet students and introduce the exciting topic of the day: uncovering the power of numbers!

What is Place Value?

Place value tells us how much a digit is worth based on its position in a number.

Every digit has a special spot!

Digits: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9

Explain that numbers are made up of digits, and each digit's spot (its 'place') gives it a special 'value.' Think of it like a vault where each shelf holds a different amount of treasure!

Review: Ones, Tens, Hundreds

Let's look at the number 345

  • The 5 is in the Ones place (value: 5)
  • The 4 is in the Tens place (value: 40)
  • The 3 is in the Hundreds place (value: 300)

Start with a review of familiar places: Ones, Tens, Hundreds. Use a simple 3-digit number like 345. Ask students to identify what each digit represents.

Meet the Thousands!

What happens when numbers get even bigger?

We introduce the Thousands place!

Example: 1,234

  • The 1 is in the Thousands place (value: 1,000)

Introduce the Thousands place. Explain that it's the next 'vault' over to the left. Use an example like 1,234. Emphasize the comma!

Expanded Form

Expanded form shows the value of each digit added together.

Let's take 1,368

1,000 + 300 + 60 + 8 = 1,368

Show how to break down a number into its expanded form. This helps solidify the concept of each digit's value.

Practice Time!

What is the value of the underlined digit?

  1. 482
  2. 5,170
  3. 2,915

First practice problem. Ask students to identify the underlined digit's place value. Encourage them to explain their thinking.

More Practice!

Write the following numbers in expanded form:

  1. 731
  2. 2,056

Second practice problem. Have students try to write a number in expanded form.

You're a Place Value Pro!

Today we learned how the position of a digit gives it its special value!

Ready for a challenge? Get ready for your worksheet!

This slide serves as the cool-down. Ask students to reflect on what they learned. It also sets up the worksheet.

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Worksheet

Place Value Challenge!

Name: ____________________________

Date: ____________________________

Part 1: What's the Value?

Read each number and write the value of the underlined digit.

  1. 428



  2. 951



  3. 1,063



  4. 7,409



  5. 3,820



Part 2: Expanded Explorer!

Write each number in expanded form.

  1. 572






  2. 1,304






  3. 9,876






Part 3: Standard Superstars!

Write the number for each expanded form.

  1. 600 + 40 + 1



  2. 2,000 + 500 + 30 + 7



  3. 8,000 + 90



Challenge Question!

If you have 5 hundreds, 12 tens, and 3 ones, what number do you have? Explain your thinking.












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Answer Key

Place Value Challenge! - Answer Key

Part 1: What's the Value?

Read each number and write the value of the underlined digit.

  1. 428

    • The 2 is in the tens place, so its value is 20.

  2. 951

    • The 9 is in the hundreds place, so its value is 900.

  3. 1,063

    • The 6 is in the tens place, so its value is 60.

  4. 7,409

    • The 7 is in the thousands place, so its value is 7,000.

  5. 3,820

    • The 8 is in the hundreds place, so its value is 800.

Part 2: Expanded Explorer!

Write each number in expanded form.

  1. 572

    • 500 + 70 + 2

  2. 1,304

    • 1,000 + 300 + 4

  3. 9,876

    • 9,000 + 800 + 70 + 6

Part 3: Standard Superstars!

Write the number for each expanded form.

  1. 600 + 40 + 1

    • 641

  2. 2,000 + 500 + 30 + 7

    • 2,537

  3. 8,000 + 90

    • 8,090

Challenge Question!

If you have 5 hundreds, 12 tens, and 3 ones, what number do you have? Explain your thinking.

  • Answer: 623
  • Explanation:
    • 5 hundreds = 500
    • 12 tens = 12 x 10 = 120. Since there are 10 tens in a hundred, 12 tens is really 1 hundred and 2 tens.
    • 3 ones = 3
    • Adding these together: 500 + 120 + 3 = 623. Or, regrouping: (5 hundreds + 1 hundred) + 2 tens + 3 ones = 6 hundreds + 2 tens + 3 ones = 623.
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