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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 be able to recognize that in a multi-digit whole number, a digit in one place represents ten times what it represents in the place to its right.

Understanding place value is fundamental to comprehending how numbers work, performing operations like addition, subtraction, multiplication, and division, and building a strong foundation for more advanced mathematical concepts.

Audience

4th Grade Students

Time

30 minutes

Approach

Through visual models and guided practice.

Materials

Whiteboard or Projector, Place Value Power-Up! Slide Deck, and Base Ten Blocks (optional)

Prep

Gather Materials & Review Slides

10 minutes

Review the Place Value Power-Up! Slide Deck and familiarize yourself with the content.
Gather Base Ten Blocks if you plan to use them as a manipulative.
Ensure a whiteboard or projector is ready for display.

Step 1

Introduction: The Value of a Digit

5 minutes

Display the first slide of the Place Value Power-Up! Slide Deck.
Introduce the concept of place value using a large number like 330. Ask students:
"What do you notice about the number 330?"
"What is the value of each '3' in 330?"
Guide them to understand that the position of a digit changes its value.

Step 2

Exploring Ten Times Greater

10 minutes

Transition to the next slide of the Place Value Power-Up! Slide Deck.
Use base ten blocks (if available) or visual representations on the slide to demonstrate how 10 ones make 1 ten, 10 tens make 1 hundred, and so on.
Explain: "When a digit moves one place to the left, its value becomes ten times greater."
Provide examples like:
* 7 in the tens place (70) is ten times greater than 7 in the ones place (7).
* 4 in the hundreds place (400) is ten times greater than 4 in the tens place (40).
Encourage student participation by asking them to generate similar examples.

Step 3

Guided Practice: What's the Value?

10 minutes

Move to the practice slides in the Place Value Power-Up! Slide Deck.
Present numbers with a specific digit highlighted.
Ask students to identify the value of the highlighted digit and how it relates to the digit in the place to its right.
Example: In 5,500, what is the value of the first 5? What is the value of the second 5? How do they relate?
Facilitate a brief discussion for each example, allowing students to explain their reasoning.

Step 4

Quick Check & Wrap-Up

5 minutes

Display the final slide with a quick check question.
Example: "In the number 2,220, how does the value of the 2 in the hundreds place compare to the value of the 2 in the tens place?"
Collect responses (e.g., thumbs up/down, written on mini-whiteboards).
Reiterate the main objective: A digit in one place represents ten times what it represents in the place to its right.
Congratulate students on their 'Place Value Power-Up!'

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Slide Deck

Place Value Power-Up!

What does the position of a digit tell us about its value?

Let's explore the number 330.
What do you notice about the two '3's in 330?
Do they have the same value? Why or why not?

Welcome students and introduce the exciting topic of place value. Begin by writing the number 330 on the board. Ask open-ended questions to get them thinking about the value of each digit. Encourage initial ideas without immediately correcting.

Ten Times Greater!

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

Example:
The 7 in 70 is ten times greater than the 7 in 7.
The 4 in 400 is ten times greater than the 4 in 40.

Can you think of another example?

Explain that the value of a digit is determined by its place. Use a visual to show how 10 ones make a ten, 10 tens make a hundred. This is the core concept: a digit in one place is ten times the value of the same digit in the place to its right. Provide clear examples to solidify this understanding.

Practice Time: What's the Value?

Look at the number. Identify the value of the highlighted digit. How does its value compare to the digit to its right?

Example 1: 5,500
The first 5 is in the ______________ place, its value is __________.
The second 5 is in the ______________ place, its value is __________.
How do they relate?

Example 2: 1,100
The first 1 is in the ______________ place, its value is __________.
The second 1 is in the ______________ place, its value is __________.
How do they relate?

Present several examples for guided practice. For each example, ask students to identify the values of the highlighted digits and explain their relationship. Facilitate a short discussion after each example to check for understanding and address any misconceptions.

Quick Check!

In the number 2,220, how does the value of the 2 in the hundreds place compare to the value of the 2 in the tens place?

A. It's half the value.
B. It's the same value.
C. It's ten times greater.
D. It's two times greater.

Conclude with a quick check question to assess student understanding of the key concept. Reiterate the main learning objective. Offer positive reinforcement for their participation and effort.

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Warm Up

Place Value Power-Up! Warm Up

Instructions: Look at the numbers below. Identify the place and value of the underlined digit.

  1. 452
    Place:



    Value:


  2. 7,081
    Place:



    Value:


  3. 9,123
    Place:



    Value:


Challenge Question: Why is understanding the "place" of a digit so important in math?





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Worksheet

Place Value Power-Up! Worksheet

Name: _________________________

Instructions: For each problem, fill in the blanks to show how the value of a digit changes based on its place.

  1. In the number 660, the 6 in the tens place is _________ times greater than the 6 in the ones place.



  2. In the number 3,300, the 3 in the hundreds place is _________ times greater than the 3 in the tens place.



  3. In the number 8,880:

    • The 8 in the hundreds place represents _________.
    • The 8 in the tens place represents _________.
    • The 8 in the hundreds place is _________ times greater than the 8 in the tens place.






  4. Write a number where one digit is ten times greater than the same digit in the place to its right. Explain your answer.











  5. Challenge: Explain in your own words what "ten times greater" means in terms of place value.












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Answer Key

Place Value Power-Up! Worksheet Answer Key

Instructions: For each problem, fill in the blanks to show how the value of a digit changes based on its place.

  1. In the number 660, the 6 in the tens place is ten times greater than the 6 in the ones place.

    • Thought Process: The 6 in the tens place is 60. The 6 in the ones place is 6. 60 / 6 = 10.

  2. In the number 3,300, the 3 in the hundreds place is ten times greater than the 3 in the tens place.

    • Thought Process: The 3 in the hundreds place is 300. The 3 in the tens place is 30. 300 / 30 = 10.

  3. In the number 8,880:

    • The 8 in the hundreds place represents 800.
    • The 8 in the tens place represents 80.
    • The 8 in the hundreds place is ten times greater than the 8 in the tens place.
    • Thought Process: Identify the value of each 8 based on its position. Then, compare the two values by dividing the larger by the smaller.

  4. Write a number where one digit is ten times greater than the same digit in the place to its right. Explain your answer.

    • Example Answer: 440. The 4 in the tens place (40) is ten times greater than the 4 in the ones place (4).
    • Thought Process: Students should choose a multi-digit number where the same digit appears in two adjacent places, and then explain the relationship between their values based on the 'ten times greater' rule.

  5. Challenge: Explain in your own words what "ten times greater" means in terms of place value.

    • Example Answer: "Ten times greater" in place value means that if you have a digit, like a '5', and it moves one spot to the left, its value becomes 10 times bigger. So, a 5 in the ones place is just 5, but a 5 in the tens place is 50, which is 10 times 5.
    • Thought Process: Look for explanations that clearly articulate the multiplicative relationship (x10) when a digit shifts one position to the left in a number.
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Cool Down

Place Value Power-Up! Cool Down

Name: _________________________

Instructions: Answer the following questions to show what you learned today.

  1. In the number 7,700, circle the digit that has a value ten times greater than the other 7.



  2. Complete the sentence:
    A digit in one place represents ________________ times what it represents in the place to its ________________.



  3. Why is it important to know about place value? Give one reason.






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