Unit Rates.

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Presentation transcript:

Unit Rates

Warm Up Ratio Complete the Frayer Model Define Ratio in your own words Draw a picture to show what the word ratio means Ratio Give an example of a ratio Give a non-example of a ratio

A rate is a ratio that compares two quantities measured in different units. Example: 120 miles in 2 hours A unit rate is a rate that is compared to one. It has one as its denominator. Example: 60 miles in 1 hour 60 miles/hour

Each camper will get 3 hot dogs. Example 1: There are 15 hot dogs for 5 campers. How many hot dogs will each camper get? We divide the 15 hot dogs by the 5 campers to get the unit rate. Camper 1 Camper 2 Each camper will get 3 hot dogs. The unit rate is 3 hot dogs per one camper. Camper 3 Camper 4 Camper 5

Each person would receive 2/3 of a candy bar. Example 2: John has 2 candy bars for 3 people. How much will each person receive? You can find the unit rate by using a diagram. 1 1 2 2 3 3 Each person would receive 2/3 of a candy bar. The unit rate is 2/3:1 or 2/3 candy bar per one person. You can also find it by dividing 2 candy bars by 3 people which is 2/3 or about 0.7.

Example 3: La can run 10 miles in 2 hours. Write 2 unit rates. Find the miles per hour and the hours per mile. 1 2 3 4 5 1 hour 1 hour La can run 5 miles in one hour. You can divide 10 miles by the 2 hours to help you get the unit rate. You can also you use a tape diagram.

Example 3 Contined: La can run 10 miles is 2 hours. Write 2 unit rates. Find the miles per hour and the hours per mile. 1 mile 1 hour In 1 hour La can run 5 miles. It will take La 1/5 of an hour to run one mile or 0.2 hour to run one mile.

Practice $7.50 for one hour 15 minutes to walk one mile 1). Stephen earned $75 for 10 hours of work. How much money did he make in one hour? 2). Kim walked 6 miles in one and a half hour. How many minutes did it take her to walk one mile? 3). Ike bought 6 pencils for $1.20. What is the price per pencil? 4). To make 8 cakes you use 12 cups of flour. How much flour is needed for one cake? $7.50 for one hour 15 minutes to walk one mile $0.20 for one pencil 1.5 cups of flour for one cake

Closure How are ratios and unit rates alike? Different?