rates and unit rates

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Rates and Unit RatesUnit Rate: 6.RP.2 and 6.RP.3

What Is a Rate?

A ratio with two different units: Examples:

Miles/hour (mph) Feet per second Dollar per pound Dollars per hour

Example: I can run 12 miles in 2 hours.

Unit Rates

How are unit rates different than other rates? Still compare two different units but the second value in the

ratio is simplified to one. Ex: 40 miles/one hour

$2 per poundDecide which unit you want to be the single unit and write it on the bottom

of your ratio. Then divide. Be sure both units are included in your answer.

Example: I can run 12 miles in 2 hours. 12 miles/2 hours = 6 miles/hour

Example #1

A 16-piece box of Jolly Ranchers cost $9.60. What is the cost per candy? Per dozen?

Example #1

A 16-piece box of Jolly Ranchers cost $9.60. What is the cost per piece of candy? Per ten pieces?

Answer: $0.60 per piece $7.20 for 10 pieces

Example #2

What is the cost of a lollipop if a package of 96 costs $24.00?

Example #2

What is the cost of a lollipop if a package of 96 costs $24.00?

Answer: $0.25 per lollipop

Example #3

What is the cost for a gallon of gas if I paid $52.34 for 13.5 gallons of gas?

Example #3

What is the cost for a gallon of gas if I paid $52.34 for 13.5 gallons of gas?

Answer: $3.88/gallon

What’s Your Rate?

How fast can you…Do jumping jacks? Say the alphabet? Hop on one foot?

You will work with a partner to find out how many times you can do certain activities in a given amount of time…

Exit Ticket

1.) Your sister picked up 3 lbs of tomatoes at the farm stand. She paid $5.25. What was the unit rate per pound?

2.) Jerry was trying out for the cross country team. He has to be able to run an 8.5 min mile. If he ran 5 mi in 45 min last weekend, will this rate be good enough to make the team?

Which car has the best gas mileage?

Camry

Mustang

HummerPrius

Accord

Express each as a unit rate

1. 150 miles traveled in 3 hours

2. $6.99 for 4 pounds of gummy bears (round to the nearest cent)

3. earned $45 in 6 hours

4. drove 350 miles on 20 gallons of gas

Express each as a unit rate, cont…

5. typed 390 words in 15 minutes

6. 480 students for 24 chaperones

Find the unit rate to determine the better

buy.

7. $3.89 for 20 units or $2.79 for 12 units

8. $3.99 for 16 ounces or $2.99 for 12 ounces

Find the unit rate to determine the better

buy.9. 12 cans of soda for $3.99 or 24 cans for $6.99

10. $2.65 for 60 paper plates or $1.99 for 48 paper plates

11. $3.99 for 10.5 oz box of cereal or $4.50 for a 12.2 oz box of cereal

Warm Up

Complete the following table by drawing in the correct number of dots to keep the ratios equivalent.E R U X

F S V Y

G T W Z