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Numbers Up!

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Lesson Plan

Numbers Up!

Students will be able to read, write, and compare multi-digit whole numbers using standard form, word form, and expanded form, specifically focusing on place value relationships up to the hundred thousands.

Understanding place value is fundamental to all higher-level math concepts. Mastering it helps students accurately interpret numbers, perform operations, and solve real-world problems. This lesson provides targeted practice to solidify these essential skills.

Audience

4th Grade Small Group

Time

15 minutes

Approach

Small group instruction with direct teaching, guided practice, and independent application.

Materials

Numbers Up! Slide Deck, Place Value Practice Worksheet, and Place Value Practice Answer Key

Prep

Review Materials

5 minutes

Step 1

Introduction & Warm-Up

3 minutes

  • Greet students and briefly introduce the lesson: "Today, we're going to sharpen our skills with big numbers, focusing on how important each digit's place is!"
    - Display Slide 1 of the Numbers Up! Slide Deck and ask: "What does 'place value' mean to you? How does it help us understand numbers?" Allow students to share their initial thoughts.

Step 2

Direct Instruction: Place Value Power

5 minutes

  • Transition to Slide 2 and explain the concept of place value using an example number (e.g., 345,678).
    - Guide students through identifying the value of each digit based on its position (e.g., 3 in the hundred thousands place is 300,000).
    - Use Slide 3 to demonstrate writing numbers in standard form, word form, and expanded form. Provide a new example (e.g., 702,415) and work through it together, emphasizing the role of zeros.
    - Check for understanding: "If I have the number 123,456, what is the value of the '2'? Why is it important to know?"

Step 3

Guided Practice: Number Detectives

4 minutes

  • Distribute the Place Value Practice Worksheet.
    - Display Slide 4 and guide students through the first one or two problems on the worksheet, working together as a group.
    - Encourage students to explain their reasoning as they write numbers in different forms or compare them.
    - Circulate and provide immediate feedback and support to individual students as they work.

Step 4

Independent Practice & Wrap-Up

3 minutes

  • Have students complete the remaining problems on the Place Value Practice Worksheet independently.
    - As they finish, encourage them to review their answers.
    - Briefly discuss one or two challenging problems as a group. Use Slide 5 to summarize the key takeaways.
    - Collect the worksheets for review. Remind students that practice makes perfect with place value!
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Slide Deck

Numbers Up! Understanding Place Value

What is Place Value?

  • How does place value help us understand numbers?
  • Why is it important in math?

Greet students and introduce the lesson. Ask students what place value means to them and why it's important. Encourage a few responses to gauge their prior knowledge.

The Power of Position

Every digit has a specific value based on its place in a number.

Example: 345,678

  • 3 is in the hundred thousands place: 300,000
  • 4 is in the ten thousands place: 40,000
  • 5 is in the thousands place: 5,000
  • 6 is in the hundreds place: 600
  • 7 is in the tens place: 70
  • 8 is in the ones place: 8

Explain place value using a multi-digit number. Highlight how each digit's position determines its value. Use the example 345,678 to break down each digit's value (e.g., the '3' is 300,000).

Three Ways to Write Numbers

Let's use the number 702,415

  1. Standard Form: 702,415

  2. Word Form: Seven hundred two thousand, four hundred fifteen

  3. Expanded Form: 700,000 + 0 + 2,000 + 400 + 10 + 5
    (or 700,000 + 2,000 + 400 + 10 + 5)

Introduce different ways to represent numbers: standard form, word form, and expanded form. Use the example 702,415 and walk through how to write it in each form, explicitly pointing out the role of the zero.

Practice Time! Number Detectives

Now it's your turn to be a number detective!

  • We'll work through the first few problems on your worksheet together.
  • Remember to think about the value of each digit.
  • Don't be afraid to ask questions!

Explain that students will now practice with a worksheet. Guide them through the first 1-2 problems on the worksheet, prompting them to explain their steps and reasoning. Emphasize teamwork and asking questions.

Key Takeaways

  • Place value tells us how much each digit is worth.
  • We can write numbers in standard form, word form, and expanded form.
  • Understanding place value helps us work with big numbers!

Summarize the key learning points. Ask students what they learned or what was most helpful. Reiterate the importance of place value.

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Worksheet

Place Value Practice

Directions: Read each question carefully and provide your answer in the space provided.

Part 1: What's the Value?

  1. In the number 84,371, what is the value of the digit 4?



  2. What is the value of the digit 9 in the number 903,250?



  3. In the number 165,028, what is the value of the digit 6?



Part 2: Form Fun!

  1. Write the number 27,903 in word form.






  2. Write the number 510,604 in expanded form.






  3. Write the standard form of "three hundred forty-two thousand, one hundred six."






Part 3: Compare and Conquer!

  1. Use >, <, or = to compare the numbers:

    89,301 ______ 89,031



  2. Use >, <, or = to compare the numbers:

    456,789 ______ 456,798



  3. Order the following numbers from least to greatest:

    1. 23,456
    2. 2,345
    3. 23,546












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Answer Key

Place Value Practice Answer Key

Part 1: What's the Value?

  1. In the number 84,371, what is the value of the digit 4?
    Answer: The digit 4 is in the thousands place, so its value is 4,000.

  2. What is the value of the digit 9 in the number 903,250?
    Answer: The digit 9 is in the hundred thousands place, so its value is 900,000.

  3. In the number 165,028, what is the value of the digit 6?
    Answer: The digit 6 is in the ten thousands place, so its value is 60,000.

Part 2: Form Fun!

  1. Write the number 27,903 in word form.
    Answer: Twenty-seven thousand, nine hundred three.

  2. Write the number 510,604 in expanded form.
    Answer: 500,000 + 10,000 + 0 + 600 + 0 + 4 (or 500,000 + 10,000 + 600 + 4).

  3. Write the standard form of "three hundred forty-two thousand, one hundred six."
    Answer: 342,106.

Part 3: Compare and Conquer!

  1. Use >, <, or = to compare the numbers:

    89,301 > 89,031

  2. Use >, <, or = to compare the numbers:

    456,789 < 456,798

  3. Order the following numbers from least to greatest:

    1. 23,456
    2. 2,345
    3. 23,546

    Answer: 2,345; 23,456; 23,546.

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Numbers Up! • Lenny Learning