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How Much Is A Million Really Worth?

Lesson Plan

The Million Dollar Dream Plan

Students will be able to visualize and comprehend large numbers up to a million by relating them to real-world contexts and applying place value understanding.

Understanding large numbers is fundamental for financial literacy, scientific comprehension, and everyday problem-solving, making abstract concepts concrete and relatable.

Audience

4th Grade Class

Time

60 minutes

Approach

Interactive discussion, visual aids, group activity, and independent practice.

Materials

Visualizing Vast Numbers (slide-deck), Million-Dollar Challenge Cards (activity), Place Value Power-Up (worksheet), and My Million-Dollar Idea (cool-down)

Prep

Teacher Preparation

15 minutes

Step 1

Introduction: What's a Million?

10 minutes

  • Begin with a hook question: "What's the biggest number you can imagine? What would you do with a million dollars?"
  • Introduce the lesson objective using the Visualizing Vast Numbers slide deck (Slide 1-2).
  • Facilitate a brief discussion on what students already know about large numbers and place value.

Step 2

Exploring Place Value (Mini-Lesson)

15 minutes

  • Use the Visualizing Vast Numbers slide deck (Slide 3-5) to review place value up to millions.
  • Provide real-world examples to help visualize large numbers (e.g., population of a city, number of seconds in a week).
  • Engage students with questions and quick checks for understanding.

Step 3

Million-Dollar Challenge Activity

20 minutes

  • Divide students into small groups.
  • Distribute Million-Dollar Challenge Cards to each group.
  • Instruct groups to work together to solve the challenges, discussing how they visualize the large numbers presented.
  • Circulate to provide support and encourage discussion. Allow groups to share some of their solutions/visualizations.

Step 4

Independent Practice: Place Value Power-Up

10 minutes

  • Hand out the Place Value Power-Up worksheet.
  • Students complete the worksheet independently to reinforce place value concepts and writing large numbers.

Step 5

Wrap-Up: My Million-Dollar Idea

5 minutes

  • Distribute the My Million-Dollar Idea cool-down.
  • Students reflect on their learning and consolidate their understanding of large numbers by applying it to a personal scenario.
  • Briefly discuss a few student ideas as a class.
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Slide Deck

How Much Is A Million Really Worth?

Let's embark on an adventure to understand HUGE numbers!

Greet students and introduce the captivating question. Ask students to share their initial thoughts on a million. Encourage wild guesses and personal connections to large sums.

Our Goal: Beyond Counting

Today, we will:

  • Visualize really big numbers.
  • Understand how much a million really is.
  • Connect large numbers to real-life situations.

Explain the objective: to visualize large numbers and understand their value in the real world. Connect it to why this skill is important (e.g., understanding news, money, science).

Place Value Power-Up!

Remember our place value chart?

  • Ones
  • Tens
  • Hundreds
  • Thousands
  • Ten Thousands
  • Hundred Thousands
  • Millions!

Each place is 10 times bigger than the one next to it!

Introduce or review the concept of place value using a chart. Emphasize how each place is 10 times greater than the one to its right. Use simple examples.

Seeing Smaller Big Numbers

It's hard to imagine a million without understanding smaller large numbers first.

  • 1,000: About how many ants are in a small colony.
  • 10,000: The number of steps many people walk in a day.
  • 100,000: Roughly the number of words in a children's chapter book.

Give concrete examples of what a thousand, ten thousand, and hundred thousand might look like. For instance, 1,000 grains of rice, 10,000 steps, 100,000 drops of water.

What Does a Million Look Like?

A million is a HUGE number!

  • 1,000,000:
    • If you stacked one million dollar bills, it would be as tall as a 360-foot building!
    • It would take you about 11 and a half days to count to a million, even if you counted one number every second without stopping!
    • Imagine a very large sports stadium filled with people... it still might not be a million!

Now, focus on a million. Provide vivid, relatable examples to help students grasp the magnitude. Encourage them to think of their own examples.

Million-Dollar Challenge!

Now it's YOUR turn to grapple with big numbers!

  • Work with your group.
  • Each card has a challenge involving large numbers.
  • Discuss and try to visualize what these numbers mean in real life!

Ready? Let's go!

Introduce the group activity where students will get to work with different scenarios involving large numbers. Explain that they will need to visualize and discuss.

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Activity

Million-Dollar Challenge Cards

Work with your group to discuss and visualize the answers to these challenges! Be ready to share your thinking.


Challenge Card 1: Paperclip Path

Imagine a chain of one million paperclips linked together. Each standard paperclip is about 1 inch long.

How far would this chain stretch? Would it go across your classroom? Across your school? Across your town? Across your state? (Hint: 12 inches = 1 foot, 5,280 feet = 1 mile)








Challenge Card 2: Penny Power

If you could collect one million pennies, how much money would you have in dollars? If you put them in rolls (50 pennies per roll), how many rolls would you have?

Could you carry them all? Think about how heavy a roll of pennies is.








Challenge Card 3: Popcorn Party

Imagine a giant bowl holding one million kernels of popped popcorn. If an average popcorn kernel is about 1 cubic centimeter, how much space would this take up?

How big would the bowl need to be? Would it fit on your desk? In your classroom? In the cafeteria?








Challenge Card 4: Breath Count

An average person takes about 20,000 breaths in one day.

How many days would it take to take one million breaths? Would it be less than a month? More than a year?








Challenge Card 5: Story Time

A typical chapter book might have about 25,000 words.

How many chapter books would you need to read to read one million words?







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Worksheet

Place Value Power-Up!

Name: ____________________________


Part 1: Identifying Place Value

Read each number and follow the instructions for the underlined digit.

  1. Underline the digit in the hundred thousands place: 456,789


  2. Underline the digit in the tens place: 1,023,456


  3. Underline the digit in the millions place: 7,890,123


  4. Underline the digit in the thousands place: 987,654


  5. Underline the digit in the hundreds place: 1,234,567



Part 2: What's the Value?

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

  1. 456,789
    Value: ____________________


  2. 1,023,456
    Value: ____________________


  3. 7,890,123
    Value: ____________________


  4. 987,654
    Value: ____________________


  5. 1,234,567
    Value: ____________________



Part 3: Writing Large Numbers

Write the following numbers in standard form.

  1. Six hundred thirty-five thousand, two hundred forty-one
    ____________________


  2. One million, eight hundred thousand, fifty-two
    ____________________


  3. Two hundred thousand, nine hundred ninety-nine
    ____________________


  4. Four million, seventeen thousand, three hundred
    ____________________


  5. Nine hundred fifty thousand, six hundred eighty
    ____________________



Part 4: Comparing Large Numbers

Write >, <, or = to compare the numbers.

  1. 456,789 _____ 465,789


  2. 1,000,000 _____ 999,999


  3. 234,567 _____ 234,567


  4. 500,000 _____ 50,000


  5. 1,200,000 _____ 1,200,001


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Cool Down

My Million-Dollar Idea

Name: ____________________________


Now that we've explored just how big a million truly is, let's think about its power!

If you had a million dollars and could use it for one amazing thing that would make a big impact on your community, your family, or even the world, what would it be?

Explain your idea and why it's important to you. Think creatively and realistically about the scale of a million dollars!





























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How Much Is A Million Really Worth? • Lenny Learning