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From Rates to Ratios

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Lesson Plans and Worksheets for Grade 6
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Common Core For Grade 6



Examples, videos, and solutions to help Grade 6 students learn how to solve problems by analyzing different unit rates.

New York State Common Core Math Module 1, Grade 6, Lesson 17

Lesson 17 Summary

• A rate of 2/3 gal/min corresponds to the unit rate of 2/3 and also corresponds to the ratio 2:3.
• All ratios associated to a given rate are equivalent because they have the same value.

NYS Math Module 1 Grade 6 Lesson 17 Classwork

Given a rate, you can calculate the unit rate and associated ratios. Recognize that all ratios associated to a given rate are equivalent because they have the same value.

Example 1
Write each ratio as a rate.
a. The ratio of miles to hours is 434 to 7.
b. The ratio of laps to minutes is 5 to 4.

Example 2
a. Complete the model below using the ratio from Example 1, part (b).
b. Complete the model below now using the rate listed below.

3. Dave can clean pools at a constant rate of 3/5 pools/hour.
a. What is the ratio of pools to hours?
b. How many pools can Dave clean in 10 hours?
c. How long does it take Dave to clean 15 pools?

4. Emeline can type at a constant rate of 1/4 pages/minute.
a. What is the ratio of pages to minutes?
b. Emeline has to type a 5-page article but only has 18 minutes until she reaches the deadline. Does Emeline have enough time to type the article? Why or why not?



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