MGSE7.RP.1 Rates and Unit Rates

​MGSE7.RP.1

Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units. For example, if a person walks 1/2 mile in each 1/4 hour, compute the unit rate as the complex fraction (1/2)/(1/4) miles per hour, equivalently 2 miles per hour.​

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​LEARNING TARGETS

I can compute unit rates associated with ratios of fractions.

I can include ratios of lengths.

I can include area ratios.

I can include quantities measured in like units.

I can include quantities measured in unlike units. (inches to feet…)​

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​Vocabulary

Rate

Unit Rate

Ratio

Fraction

Multiplicative Inverse​

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​Essential Question

How do I interpret a unit rate mathematically using words?

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What is a unit rate?

• used to compare quantities in which the second quantity is one

• The denominator in the fraction is ONE

• miles per hour

• earnings per hour

• cost per gallon

Multiple Choice

What is a unit rate? Choose the best answer!

• a improper fraction

• a word problem

• a rate where a quantity is one

• 5 to 3

Multiple Choice

Choose the unit rate

• 200 miles in 3 hours

• $5 for 1 pizza

• 10 popsicles for 5 students

• 80 miles for 2 gallons

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When finding the unit rate:

Calculating Unit Rate

• miles per hour

• words per minute

• miles per hour

• EXAMPLE:

• $40 for 5 pizzas. Find the price per pizza!

• $87 for 3 video games. Find the price per video game.

Multiple Choice

At Target you can get 4 shirts for $28. What is the unit price? Cost per shirt.

• $4 per shirt

• $7 per shirt

• $8 per shirt

• $5 per shirt

Multiple Choice

You can purchase 3 Kentucky Kingdom season passes for $150. What is the unit price. What is the price per season pass?

• $25 per season pass

• $50 per season pass

• $75 per season pass

• $60 per season pass

How to find the cheaper unit rate?

• Lots of items at the grocery store come in different sizes and cost different prices!

• To find the unit rate divide $ by ounces

• The 16 oz jar is .20 cents per ounce

• The 64 oz jar is .13 cents per ounce 

• Which jar is cheaper?

Multiple Choice

Which item is the CHEAPER buy?

• 1 box of noodles

• 2 boxes of noodles

How to find the more expensive unit rate?

• Lots of items at the grocery store come in different sizes and cost different prices!

• To find the unit rate divide $ by ounces

• The 16 oz shampoo is .39 cents per ounce

• The 13.5 oz shampoo is .30 cents per ounce

• Which bottle is more expensive?

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Multiple Choice

Which item is the more EXPENSIVE buy?

• MAC's water

• ZAC's water

Fill in the Blank

Johnny read 300 words in 6 minutes. At what rate, words per minute, is Johnny reading? ( Since you want words per minute, words goes on top and minutes goes on the bottom)

Multiple Choice

Six tubs of frosting costs $5. How much is it for 1 tub of frosting?

• $1 per tub

• $8.30 per tub

• $0.83 per tub

• $0.08 per tub