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OAT Lesson 9: Powers of 10

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Last updated about 3 years ago
28 Nsɛmmisa

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

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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.

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1.

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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2.

Write the number using exponential notation:

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3.

Write the number using exponential notation:

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

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Activity 2: Powers of 10 - (10 min)

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

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14.

2,000 = x 20

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Activity 3: Beyond a Billion - (10 min)

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20.

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

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21.

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

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22.

Write the number using powers of 10.

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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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24.

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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25.

What expression could you write to represent the number of small segments? How do you know?

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Cool Down: Exponential Notation - (5 min)

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27.

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

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28.

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?

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4.

Write the number using exponential notation:

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5.

Write the number using exponential notation:

100,000

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6.

About 1,000,000 people live in Delaware.

How do you say this number?

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7.

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

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8.

Write the number using powers of 10.

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9.

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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10.

In 1997, the population of India was about 1,000,000,000.

How would you say this number?

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11.

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

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12.

Write the number using powers of 10.

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13.

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.

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15.

20 x 10 x = 20,000

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16.

x 10 = 100,000

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17.

1,000 x 10,000 =

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18.

How were products of 10s useful in solving these problems?

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19.

Write each power of 10 as a number:

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23.

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

What power of ten can we write to make this equation true?

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26.

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?