OAT Lesson 9: Powers of 10

Last updated over 2 years ago
28 questions
Develop Understanding
Today's Learning Goal: (G5, U6, L2)
  • Use whole-number exponents to denote powers of 10
Today's Materials:
  • Laptop
  • Laptop charger
  • Pen/Pencil/Paper/Expo Marker (optional)
Please complete the Jump Start (activator). You have 5 minutes before we review. This is independent it should be silent.
Reminders:
1. Ready for class
2. No cellphones
3. Volume must be low.
4. Read and follow all directions
5.) Take your bag off and immediately begin the Activator.

JUMP START: How Many Do You See: Starburst - (5min)

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How many do you see and how do you see them?

Launch: - (10 min)

I do (question 2)

We do (question 3)

You do (question 4 and 5)

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Write the number using exponential notation:

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Write the number using exponential notation:

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Write the number using exponential notation:

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Write the number using exponential notation:
100,000

Activity 1: Population of Delaware and India - (10 min)

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About 1,000,000 people live in Delaware.
How do you say this number?

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How many thousands is this? Explain or show your reasoning.

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Write the number using powers of 10.

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How many times would you need to extend the diagram from the warm-up to get 1,000,000 tiny segments? Explain or show your reasoning.

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In 1997, the population of India was about 1,000,000,000.
How would you say this number?

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How many millions is this? How many thousands is it? Explain or show your reasoning.

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Write the number using powers of 10.

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How many times would you need to extend the diagram from the warm-up to get 1,000,000,000 tiny segments? Explain or show your reasoning.

Activity 2: Powers of 10 - (10 min)

Find the missing number that makes each equation true. Show your reasoning

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2,000 = _______ x 20
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20 x 10 x _______ = 20,000
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_______ x 10 = 100,000
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1,000 x 10,000 = _______
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How were products of 10s useful in solving these problems?

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Write each power of 10 as a number:



Activity 3: Beyond a Billion - (10 min)

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How would you say the number 1,000,000,000,000?

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How many billions is that? How many millions is it? Explain or show your reasoning.

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Write the number using powers of 10.

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Describe an example of something that there are 1,000,000,000,000 of in the world.

Lesson Synthesis: - (5 min)

Today we looked at some really big numbers that are powers of 10 and represented them using exponents.

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How many of the medium sized segments are there?
What expression could you write to represent the number of these segments?
How does the image represent the expression 10 x 10?


We can also represent this expression with a power of ten.
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What expression could you write to represent the number of small segments? How do you know?

What power of ten can we write to make this equation true?
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If you kept going and drew 10 more tiny segments, how many of these would there be?
How can we write the number as a power of ten?
If I kept going a total of 6 times, how many of the smallest segments would there be?

Cool Down: Exponential Notation - (5 min)

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Write 10,000 and 100,000 using exponential notation. Explain or show your reasoning.

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Write this as a number:

Closure Questions:

  • How do you feel about today's material?
  • What is an exponent?
  • Is this your first-time seeing exponents?
  • What are the rules of exponents?