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From Ratios to Rates

Video Solutions to help Grade 6 students learn that ratios can be transformed to rates and unit rates.

Common Core Standards: 5.NF.4a

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Lesson Plans and Worksheets for Grade 6

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More Lessons for Grade 6

Common Core For Grade 6

New York State Common Core Math Module 1, Grade 6, Lesson 16

Lesson 16 Student Outcomes

• Students recognize that they can associate a ratio of two quantities, such as the ratio of miles per hour is 5:2, to another quantity called the rate.
• Given a ratio, students precisely identify the associated rate. They identify the unit rate and the rate unit.

Lesson 16 Summary

• A ratio of two quantities, such as 5 miles per 2 hours, can be written as another quantity called a rate.
• The numerical part of the rate is called the unit rate and is simply the value of the ratio, in this case 2:5. This means that in 1 hour, the car travels 2. 5 miles. The unit for the rate is miles/hour, read “miles per hour”.

NYS Math Module 1 Grade 6 Lesson 16 Classwork

Example 1: Introduction to Rates and Unit Rates
Diet cola was on sale last week; it cost $10 for every 4 packs of diet cola.
a. How much do 2 packs of diet cola cost?
b. How much does 1 pack of diet cola cost?

Exploratory Challenge
1. Teagan went to Gamer Realm to buy new video games. Gamer Realm was having a sale: $65 for 4 video games. He bought 3 games for himself and one game for his friend, Diego, but Teagan does not know how much Diego owes him for the one game. What is the unit price of the video games? What is the rate unit?

2. Four football fans took turns driving the distance from New York to Oklahoma to see a big game. Each driver set the cruise control during his leg of the trip, enabling him to travel at a constant speed. The men changed drivers each time they stopped for gas and recorded their driving times and distances in the table below.
Use the given data to answer the following questions.
a. What two quantities are being compared?
b. What is the ratio of the two quantities for Andre’s car? What is the associated rate?
c. Answer the same two questions in part (b) for the other three drivers.
d. For each driver, circle the unit rate and put a box around the rate unit.

3. A publishing company is looking for new employees to type novels that will soon be published. The publishing company wants to find someone who can type at least 45 words per minute. Dominique discovered she can type at a constant rate of words in minutes. Does Dominique type at a fast enough rate to qualify for the job? Explain why or why not.

This video covers lessons 16 and 17

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