Unit 3, Lesson 8

Ratios and Rates with Fractions

Accelerated 6

8.1

Warm-up

Math Talk: Division

Find each answer mentally.

How many s are there in 5?
What is ?
What is ?
What is ?

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8.2

Activity

Dividing with or without an Algorithm

Standards Alignment

Building On

Addressing

Building Toward

Calculate at least four quotients. Show your reasoning.

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8.3

Activity

Comparing Running Speeds

Standards Alignment

Building On

Addressing

Building Toward

Lin ran miles in of an hour. Noah ran miles in of an hour.

Who ran faster, Noah or Lin? Explain or show your reasoning.

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Student Lesson Summary

There are 12 inches in 1 foot, so we can say that for every 1 foot, there are 12 inches, or the ratio of feet to inches is . We can find the unit rates by dividing the numbers in the ratio:

,
so there is foot per inch.

,
so there are 12 inches per foot.

When the numbers in a ratio are fractions, we calculate the unit rates the same way: by dividing the numbers. For example, if someone runs mile in minutes, the ratio of minutes to miles is .

, so the person’s
pace is minutes per mile.

, so the person’s
speed is mile per minute.

Glossary

unit rate

A unit rate is a rate per 1.

For example, 12 people share 2 pies equally. One unit rate is 6 people per pie, because . The other unit rate is of a pie per person, because .

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Lesson 8

Ratios and Rates with Fractions

Warm-up

Math Talk: Division

Are You Ready for More?

Activity

Dividing with or without an Algorithm

Standards Alignment

Building On

Addressing

6.NS.1

Building Toward

Are You Ready for More?

Activity

Comparing Running Speeds

Standards Alignment

Building On

Addressing

7.RP.1

Building Toward

Are You Ready for More?

Student Lesson Summary

Glossary

unit rate

Have feedback on the curriculum?

Standards Alignment

Building On

6.NS.1

Addressing

Building Toward

7.RP.1