CCGPS What is unit rate MCC 7 RP

CCGPS: What is unit rate? MCC 7. RP. 1 Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units.

What is the cost of 1? One apple costs 30 cents One orange costs 22. 5 cents

What is the cost of 1? One US dollar is equivalent to 2/3 of a British pound One British pound is equivalent to 1. 5 US dollars

From pictures to calculations In each problem record both possible unit rates. Use division to find the unit rates, then write a short sentence explaining each rate.

Don’t forget: Put the ‘ 1’ on the bottom Unit rate Numerator ÷ Denominator ÷Denominator = ? = 1

Did you know that every problems has two possible rates? ? 10 cans of beans cost $ 15. 4 5 The cost of 1 can 15. 45 10 cans $1. 55 per can The amount of beans for $1 10 cans 15. 45 For $1 I can get 0. 6 or (6 tenths) of a can

Don’t forget: Put the ‘ 1’ on the bottom Unit rate Numerator ÷ Denominator ÷Denominator = ? = 1

1. 6 bags of flour weigh 30 pounds (Together) 6 bags/ 30 pounds/ 6 bags 0. 2 bags/ 1 pound One pound of flour fills 1/5 of a bag 5 pounds/ 1 bag One bag holds 5 pounds of flour

2. 9 tennis balls come in 3 cans 9 balls/ 3 cans/ 9 balls 3 balls/ 1 Can One can contains 3 balls (1/3) can / 1 ball One ball fills 1/3 of a can

3. 5 gallons of gas cost $6. 50 5 gals/ $6. 50 0. 769/ $1 $1. 30/ 1 gal $6. 50/ 5 gallons One dollar will purchase 0. 769 gallons One gallon costs $1. 30

4. In 25 mins Jenny can run 10 laps 25 min/ 10 laps/ 25 mins 2. 5 min/ 1 lap One lap is run in 2. 5 mins 0. 4 laps/ 1 min In one min 0. 4 laps are run

Independent Practice 1. 2. Complete workbook pg 179 Tear out, record name, turn in to me

Pretty simple huh!! Now let’s look at part 2

A At Ralph’s fruit stand 3 apples cost 90 cents. You want to buy 7 apples. How much will they cost?

1. What are the two possible rates? 3 apples/ 90 cents/ 3 apples 2. Show each rate as a unit rate (1/30) apple/ 1 cent 30 cents/ 1 apple 3. What does each unit rate tell you? The amount of apple for 1 cent The cost of one apple 4. Which unit rate will help you solve this problem? 30 cents/ 1 apple

5. Complete the table Apples 1 2 3 4 5 Cost. 30 6. What number patterns do you see? 0. 60 The price increases by 0. 30 with each apple 0. 90 7. Write a number sentence for the price of 7 apples 0. 30/ 1 apple x 7 apples = $2. 10 1. 20 1. 50 Any number of apples Unit price x number of apples = cost

B At a bank in England, Ms. Vega wanted to exchange 20 US dollars for British pounds. The exchange rate was 3 U. S. dollars for 2 British pounds. How many pounds did Ms. Vega receive?

1. What are the two possible rates? 2 pounds/ 3 dollars/ 2 pounds 2. Show each rate as a unit rate 2/3 pound/ 1 dollar 1. 5 dollars/ 1 pound 3. What does each unit rate tell you? The # of british pounds for $1 The # of dollars for 1 pound 4. Which unit rate will help you solve this problem? 2/3 pound/ 1 dollar

5. Complete the table Dollars 1 2 3 4 5 Pounds 2/3 pounds 6. What number patterns do you see? 4/3 pounds The pounds increase by 2/3 each time 2 7. Write a number sentence for 20 US 10/3 dollars (2/3)/ dollar x $20 = 40/3 pounds Any number of US dollars 8/3 Unit price x number of dollars = # pounds

Application In each problem, record the rate appropriate for the question asked. Find the corresponding unit rate. Write a short sentence interpreting the unit rate and use this to fin the solution to the problem

1. Anne is painting her house light blue. To make the color she wants, she must add 3 cans of white paint to every 2 cans of blue paint. How many cans of white paint will she need to mix with 6 cans of blue paint? Rate Needed: Unit rate: 3 white / 2 blue / 3 white 1. 5 white / 1 blue Interpretation of unit rate: For every one can of blue she will need 1. 5 cans of white paint Solution: ( 1. 5 white / 1 blue) x 6 cans blue = 9 cans white paint

2. Ryan is making a fruit drink. The directions say to mix 5 cups of water with 2 scoops of powdered fruit mix. How many cups of water should he use with 9 scoops of fruit mix? Rate Needed: 5 water / 2 fruit mix/ 5 water Unit rate: 2. 5 water/ 1 fruit mix Interpretation of unit rate: For every one scoop of fruit mix he will need 2. 5 cups of water Solution: ( 2. 5 water / 1 fruit mix ) x 9 scoops of mix = 22. 5 cups of water

3. Donna is running around a track. It takes her 10 mins to run 6 laps. If she keeps running at the same speed, how long will it take her to run 5 laps? Rate Needed: 10 mins / 6 laps Unit rate: 6 laps / 10 mins 5/3 mins. / 1 lap Interpretation of unit rate: Donna can run 1 lap in 5/3 mins Solution: ( 5/3 mins / 1 lap ) x 5 laps = 8 1/3 mins

4. Mark’s model train can go 12 laps around its track in 4 mins. If it runs at the same speed, how many laps can the train go in 9 mins? Rate Needed: 12 laps / 4 mins Unit rate: 4 mins / 12 laps 3 laps/ 1 min Interpretation of unit rate: Mark’s train can travel 3 laps in one minute. Solution: ( 3 laps/ 1 min) x 9 mins= 27 laps

Congratulations!! I think you got it now