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The Expanded Universe

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Lesson Plan

Expanded Form Expedition

Students will be able to express multi-digit whole numbers in expanded form by understanding the value of each digit based on its place.

Understanding expanded form is essential for building a strong foundation in number sense and prepares students for more complex operations like addition and subtraction with regrouping.

Audience

4th Grade Students

Time

35 minutes

Approach

Through interactive slides, a hands-on activity, and a quick exit slip.

Materials

Journey to the Expanded Universe (slide-deck), Number Builders Challenge (activity), and Expanded Form Exit Slip (cool-down)

Prep

Preparation

10 minutes

Step 1

Introduction: What's in a Number?

5 minutes

Step 2

Exploring Place Value

10 minutes

  • Guide students through the Journey to the Expanded Universe Slide Deck, focusing on slides that break down numbers into their place values.
    - Use interactive questions and examples to reinforce understanding.
    - Encourage students to share their thinking and reasoning.

Step 3

Number Builders Challenge

15 minutes

  • Introduce the Number Builders Challenge Activity.
    - Explain the instructions clearly, demonstrating if necessary.
    - Circulate around the room, providing support and facilitating student work.
    - Encourage collaboration and peer-to-peer learning.

Step 4

Wrap-up and Exit Slip

5 minutes

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Slide Deck

Welcome to the Expanded Universe!

Ever wonder how big numbers are built?
Today, we're going on an adventure to find out!

Welcome students and introduce the exciting journey into the 'Expanded Universe' of numbers. Ask them to think about really big numbers they've seen or used.

Place Value Power-Up!

What do we know about place value?
Each digit has a special spot!
Hundreds, Tens, Ones... and beyond!

Review place value concepts. Ask students to identify the place value of specific digits in a given number. This slide serves as a quick warm-up and recall.

What is Expanded Form?

It's like breaking a number into its parts!
We show the value of each digit.
Example: 345 = 300 + 40 + 5

Introduce expanded form. Explain that it's like 'stretching out' a number to show the value of each digit. Give a simple example verbally first.

Let's Expand a Number!

Take the number 4,271
What is the value of the 4? (4,000)
What is the value of the 2? (200)
What is the value of the 7? (70)
What is the value of the 1? (1)
So, 4,271 = 4,000 + 200 + 70 + 1

Work through an example together. Point to each digit and ask students for its value. Then, write out the expanded form.

Your Turn! Expand This!

Expand the number: 6,058


Think: What is the value of each digit?

Provide another example for students to try independently or with a partner. Give them a minute to write it down before revealing the answer.

And the Answer Is...

6,058 = 6,000 + 50 + 8
(Remember, we don't need to write the zero in expanded form if there's no value in that place!)

Reveal the answer to the previous slide. Go through each digit's value clearly.

Time for the Number Builders Challenge!

Get ready to build some big numbers!
You'll use your expanded form skills in an activity.

Introduce the activity. Explain that they will be building numbers and writing them in expanded form. Emphasize teamwork if they are working in pairs.

You're an Expanded Form Expert!

You've successfully journeyed into the Expanded Universe!
Keep practicing how to break down and build numbers.

Conclude the lesson by reiterating the importance of understanding expanded form for larger numbers.

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Activity

Number Builders Challenge

Objective: Practice writing numbers in standard and expanded form.

Instructions:

  1. For each challenge below, you will be given a number in standard form or expanded form.
  2. Your task is to fill in the missing form.
  3. Show your work clearly!

Challenge 1

Standard Form: 5,672

Expanded Form:






Challenge 2

Standard Form:

Expanded Form: 3,000 + 400 + 90 + 5

Challenge 3

Standard Form: 12,034

Expanded Form:






Challenge 4

Standard Form:

Expanded Form: 70,000 + 8,000 + 20 + 1

Challenge 5

Standard Form: 205,106

Expanded Form:






Challenge 6

Standard Form:

Expanded Form: 400,000 + 50,000 + 600 + 70 + 9

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Cool Down

Expanded Form Exit Slip

Name: ________________________

Date: ________________________

Question 1

Write the number 7,483 in expanded form.




Question 2

What number is represented by the expanded form: 50,000 + 2,000 + 600 + 10 + 9?




Question 3

Explain in your own words why understanding expanded form is helpful when working with numbers.











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Answer Key

Number Builders Challenge Answer Key

Challenge 1

Standard Form: 5,672
Expanded Form: 5,000 + 600 + 70 + 2

Challenge 2

Standard Form: 3,495
Expanded Form: 3,000 + 400 + 90 + 5

Challenge 3

Standard Form: 12,034
Expanded Form: 10,000 + 2,000 + 30 + 4

Challenge 4

Standard Form: 78,021
Expanded Form: 70,000 + 8,000 + 20 + 1

Challenge 5

Standard Form: 205,106
Expanded Form: 200,000 + 5,000 + 100 + 6

Challenge 6

Standard Form: 450,679
Expanded Form: 400,000 + 50,000 + 600 + 70 + 9

Expanded Form Exit Slip Answer Key

Question 1

Write the number 7,483 in expanded form.
Answer: 7,000 + 400 + 80 + 3

Question 2

What number is represented by the expanded form: 50,000 + 2,000 + 600 + 10 + 9?
Answer: 52,619

Question 3

Explain in your own words why understanding expanded form is helpful when working with numbers.
Sample Answer: Understanding expanded form helps us see the true value of each digit in a number. It makes it easier to understand how big or small a number is, and it helps when we need to add, subtract, or round numbers because we know what each part is worth.

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The Expanded Universe • Lenny Learning