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Unit Rates

Unit Rates. Created by: Mrs. Dube. Vocabulary Review. Rate – a ratio that compares two quantities measured in different units Ex. miles/per hour Unit rate – a rate whose denominator is 1 when it is written as a fraction. Finding Unit Rates.

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Unit Rates

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  1. Unit Rates Created by: Mrs. Dube

  2. Vocabulary Review • Rate – a ratio that compares two quantities measured in different units • Ex. miles/per hour • Unit rate – a rate whose denominator is 1 when it is written as a fraction

  3. Finding Unit Rates • First, make sure the ratio is written as a fraction • Next, divide the numerator and denominator by the denominator so your denominator will now be 1 • Ex. A woman exercises and her heart beats 835 times in 5 minutes. • Write the ratio as a fraction 835/5 • Now, divide by the numerator and denominator by the denominator(835 beats/5minutes) ÷ 5/5 = 167/1 • So the woman’s heart beats 167 times in 1 minute

  4. Finding Unit Rates • To make 6 dozen cookies, you need 3 cups of flour; how many cups of flour are needed to make one dozen cookies? • Write the ratio as a fraction: 3 cups/6 dozen • Now, divide numerator and denominator by the denominator: (3/6) ÷6/6 = .5/1 = .5 • You need .5 or ½ cup of flour to make one dozen cookies

  5. Practice time! • A recipe for 6 blueberry muffins calls for 360 grams of flour. How many grams of flour are needed to make each muffin? • Write the ratio as a fraction: 360/6 • Now, divide the numerator and denominator by the denominator (360/6) ÷ 6/6 = 60/6 • Each muffin requires 60 grams of flour

  6. Your time to practice! • A recipe for cookies calls for 3 cups of brown sugar for 6 dozen cookies? How much brown sugar is need for one dozen cookies? • First, write the ratio as a fraction:

  7. Average Speed • Follow the same procedure to find the average speed • Ex. A family travels 198 miles in 3 hours. What is their average speed of travel? • Write the ratio as a fraction: 198/3 • Divide the numerator and denominator by the denominator: (198/3) ÷ 3/3 = 66/1 • The family travels an average speed of 66 miles per hour

  8. Practicing Average Speed • A airplane traveled 2,748 miles in 6 hours. What was the plane’s average rate of speed in miles per hour? • First, write the ratio as a fraction:

  9. Finding unit prices • Comparing different rates by finding the unit price • Ex. A 32 oz. container of orange juice costs $1.99, but a 64 oz. container costs $3.99 and a 96 oz. container costs $5.85. Which container offers the best value? • First, write each container as a ratio and then divide each ratio by its denominator to find the unit rate or unit price • 1.99/32 • 3.99/64 • 5.85/96

  10. Finding unit prices • Next, divide each ratio by its denominator to find the price of one ounce • (1.99/32) ÷ 32/32 • (3.99/64) ÷ 64/64 • (5.85/96) ÷ 96/96 Now compare the prices for one ounce and determine which price is the best value

  11. Practice time! • A 10 oz. bag of M&Ms costs $2.19, a 16 oz. bag costs $3.38, and a 28 oz. bag costs $5.49; which bag of M&Ms is the best value for the money?

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