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Place Value Power-Up!

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k.j.horstmann

Tier 1
For Schools

Lesson Plan

Place Value Power-Up

Students will understand that a digit in one place in a multi-digit whole number represents ten times what it represents in the place to its right.

Understanding place value is fundamental to all future math concepts, including addition, subtraction, multiplication, and division of larger numbers. It helps students grasp the true 'value' of each digit.

Audience

4th Grade Students

Time

30 minutes

Approach

Interactive slides, guided practice, and independent application.

Materials

Smartboard or Projector, Markers or whiteboard pens, Place Value Power-Up Slide Deck, Place Value Challenge Worksheet, and Place Value Challenge Answer Key

Prep

Teacher Preparation

15 minutes

  • Review the Place Value Power-Up Slide Deck and familiarize yourself with the content.
    - Print copies of the Place Value Challenge Worksheet for each student.
    - Have the Place Value Challenge Answer Key ready for quick reference.
    - Ensure projector/smartboard is set up and working.
    - Gather markers or whiteboard pens.

Step 1

Introduction: What's Your Worth?

5 minutes

  • Display Slide 2 of the Place Value Power-Up Slide Deck.
    - Ask students: "If you had two numbers, say 2 and 20, why are they different even though they both have a '2' in them?"
    - Facilitate a brief discussion, guiding them to recognize the importance of the 'place' a digit holds.
    - Introduce the lesson objective: "Today, we're going to become place value experts and discover the 'power' of a digit's position!"

Step 2

Understanding the 'Ten Times' Rule

10 minutes

  • Use Slides 3-6 of the Place Value Power-Up Slide Deck to explain the 'ten times' rule.
    - Start with a simple number (e.g., 222) and discuss the value of each '2'.
    - Emphasize that moving one place to the left means the digit's value is multiplied by 10.
    - Use visual aids on the slides to demonstrate this concept with base-ten blocks or place value charts.
    - Engage students with questions like: "What happens if we move a digit two places to the left?"

Step 3

Guided Practice: Show Me the Value!

8 minutes

  • Display Slide 7 of the Place Value Power-Up Slide Deck.
    - Present a multi-digit number (e.g., 3,450).
    - Ask students to identify the value of specific digits (e.g., "What is the value of the 4 in 3,450?").
    - Work through a few examples together as a class, encouraging students to explain their reasoning.
    - Provide immediate feedback and clarify any misconceptions.

Step 4

Independent Practice: Place Value Challenge

5 minutes

  • Distribute the Place Value Challenge Worksheet to each student.
    - Explain that they will work independently to apply what they've learned.
    - Circulate around the room to provide support and answer questions.
    - Remind students to show their thinking where applicable.

Step 5

Wrap-Up: Quick Check

2 minutes

  • Briefly review one or two questions from the Place Value Challenge Worksheet as a class.
    - Ask students to share one new thing they learned about place value today.
    - Reiterate the main idea: "Every digit has a special 'power' based on its place!"
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Slide Deck

Place Value Power-Up!

Unlocking the Secrets of Numbers!

Welcome students and get them ready for a fun math lesson! Emphasize the exciting title.

What's the 'Power' of a Digit?

Look at the numbers 2 and 20.
Both have a '2'. What makes them different?

Today's Mission: Become Place Value Experts!

Pose the question to the class. Encourage students to share their initial thoughts. Guide them towards thinking about the position of the digit.

The 'Ten Times' Rule: An Introduction

Let's look at the number 222.
What does each '2' represent?

How is the '2' in the tens place related to the '2' in the ones place?

Introduce a simple number. Ask students about the value of each '2'. Use this to lead into the concept of tens.

Moving Left: Ten Times Greater!

When a digit moves one place to the left, its value becomes TEN TIMES GREATER!

Example:

  • The '5' in 50 is 10 times the '5' in 5.
  • The '5' in 500 is 10 times the '5' in 50.

Think of it as adding a zero!

Visually demonstrate with a place value chart or mental imagery how moving a digit one place to the left increases its value by ten times. Use arrows or highlights if possible on a smartboard.

Let's Try Another!

Consider the number 7,770.

  • What is the value of the '7' in the hundreds place?
  • What is the value of the '7' in the thousands place?

How are these values related?

Reinforce the concept with another example. Ask students to explain to a partner what happens when a digit moves left.

Guided Practice: What's the Value?

What is the value of the '4' in 3,450?

Think: Where is it? What place is it in? How many 'tens' from the ones place?

Present an example for guided practice. Encourage students to work it out on their whiteboards or in their notebooks before discussing as a class.

Your Turn! Place Value Challenge

Now it's time to show what you know!

Complete the Place Value Challenge Worksheet on your own.

Remember the 'ten times' rule!

Explain that students will now work on a worksheet independently. Remind them to apply the 'ten times' rule.

Place Value Pros!

You are all place value experts!

Remember: The position of a digit gives it POWER!

What was one new thing you learned today?

Conclude the lesson by reviewing the key takeaway and affirming their learning. Ask for one thing they learned.

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Worksheet

Place Value Challenge Worksheet

Name: _________________________ Date: _________________________

Part 1: Understanding the "Ten Times" Rule

  1. In the number 330, how is the value of the 3 in the tens place related to the value of the 3 in the hundreds place?






  2. Fill in the blank: The value of the digit 7 in 700 is ______ times the value of the digit 7 in 70.



  3. Write a number where the digit 4 in the hundreds place is ten times greater than the digit 4 in the tens place.






Part 2: Identifying Place Value

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

  1. 5,621


  2. 9,000


  3. 1,075


  4. 23,456


Part 3: Applying the Rule

  1. The number 800 is 10 times what number?



  2. What is 10 times the value of the digit 6 in 462?






  3. Explain in your own words what it means for a digit in one place to represent ten times what it represents in the place to its right. Use an example in your explanation.












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Answer Key

Place Value Challenge Answer Key

Part 1: Understanding the "Ten Times" Rule

  1. In the number 330, how is the value of the 3 in the tens place related to the value of the 3 in the hundreds place?

    • Thought Process: The first '3' from the left is in the hundreds place, so its value is 300. The second '3' is in the tens place, so its value is 30. We know that 30 multiplied by 10 equals 300.
    • Answer: The value of the 3 in the hundreds place (300) is ten times greater than the value of the 3 in the tens place (30).

  2. Fill in the blank: The value of the digit 7 in 700 is ____ times the value of the digit 7 in 70.

    • Thought Process: The '7' in 700 is in the hundreds place (value 700). The '7' in 70 is in the tens place (value 70). Moving from the tens place to the hundreds place is one position to the left, which means it's 10 times greater.
    • Answer: 10

  3. Write a number where the digit 4 in the hundreds place is ten times greater than the digit 4 in the tens place.

    • Thought Process: We need a '4' in the tens place (value 40) and a '4' in the hundreds place (value 400). This means the number must contain '440' (or a larger number ending in 440).
    • Answer: (Any number like 440, 1,440, 2,440, etc. The key is 4 in the hundreds and 4 in the tens.) Example: 440

Part 2: Identifying Place Value

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

  1. 5,621

    • Thought Process: The underlined digit '6' is in the hundreds place.
    • Answer: 600

  2. 9,000

    • Thought Process: The underlined digit '9' is in the thousands place.
    • Answer: 9,000

  3. 1,075

    • Thought Process: The underlined digit '7' is in the tens place.
    • Answer: 70

  4. 23,456

    • Thought Process: The underlined digit '2' is in the ten thousands place.
    • Answer: 20,000

Part 3: Applying the Rule

  1. The number 800 is 10 times what number?

    • Thought Process: To find a number that 800 is 10 times greater than, we need to divide 800 by 10, or effectively remove one zero. Moving one place to the right means dividing by 10.
    • Answer: 80

  2. What is 10 times the value of the digit 6 in 462?

    • Thought Process: First, find the value of the digit 6 in 462. It's in the tens place, so its value is 60. Then, find 10 times 60.
    • Answer: The value of the digit 6 in 462 is 60. Ten times 60 is 600.

  3. Explain in your own words what it means for a digit in one place to represent ten times what it represents in the place to its right. Use an example in your explanation.

    • Thought Process: The student should explain that as you move a digit to the left in a number, its value increases by multiplying by 10. They need to provide a clear example.
    • Answer: (Student responses will vary but should convey this idea) For example, in the number 110, the first '1' is in the hundreds place, so its value is 100. The second '1' is in the tens place, so its value is 10. The 100 is ten times bigger than the 10 because the '1' moved one place to the left.
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