Lesson 1

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exponent review

Warm Up

Lesson

Summary

Cool

Down

Reflections

Student

Task

Learning

Targets

Practice Problems

Lesson Video

Unit 7

exponents and scientific notation

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Warm Up

7⁴

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1.1 Warm Up - which one doesn’t belong: Twos

Which expression does not belong? Be prepared to share your reasoning.

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Learning Targets

• I can use exponents to describe repeated multiplication.

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• I understand the meaning of a term with an exponent.

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The purpose of this lesson is to understand exponential notation and use it to reason about a situation that involves repeated multiplication

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1.2 return of the genie

Mai and Andre found an old, brass bottle that contained a magical genie. They freed the genie, and it offered them each a magical $1 coin as thanks. The magic coin turned into 2 coins on the first day. The 2 coins turned into 4 coins on the second day. On the third day, the 4 coins magically turned into 8 coins, and this pattern continued for 28 days.

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Visual of the coins magically multiplying

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Mai was trying to calculate how many coins she would have and remembered that instead of writing for the number of coins on the 6th day, she could write 2⁶.

1. The number of coins Mai had on the 28th day is very, very large. Write an expression to represent this number without computing its value.

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• Andre’s coins lost their magic on the 25th day, so Mai has a lot more coins than he does. How many times more coins does Mai have than Andre?

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1.3 broken coin

After a while, Jada picks up a coin that seems different than the others. She notices that the next day, only half of the coin is left! On the second day, only ¼ of the coin is left. On the third day, 1/8 of the coin remains.

1. What fraction of the coin remains after 6 days?

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• What fraction of the coin remains after 28 days? Write an expression to describe this without computing its value.

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• Does the coin disappear completely? If so, after how many days?

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Watch the magical coin changing for ten days with this applet.

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Are you Ready for more?

Tyler has two parents. Each of his parents also has two parents.

1. Draw a family tree showing Tyler, his parents, his grandparents, and his great-grandparents.

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• We say that Tyler’s eight great-grandparents are “three generations back” from Tyler. At which generation back does Tyler have 262,144 ancestors?

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Lesson Summary

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1.4 Cool Down: exponent check

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Reflections

• Can you use exponents to describe repeated multiplication?

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• Can you understand the meaning of a term with an exponent?

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Practice Problems

Must do: All problems

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Lesson Video

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