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Understanding Rates and Unit Rates: Practical Examples and Calculations

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This chapter explains the concept of rates and unit rates, showcasing practical examples. A rate is a ratio that compares two different units of measure, while a unit rate has a denominator of one. We explore various scenarios, including calculating the rate of oranges picked, songs downloaded, and distances traveled by a dragonfly. Additionally, we assess heartbeats in adults and babies over different time frames. Each example illustrates how to compute unit rates, enhancing understanding and application of these mathematical concepts.

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Understanding Rates and Unit Rates: Practical Examples and Calculations

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  1. Rates & unit Rates Chapter 4

  2. New Vocab • Rate – A ratio with 2 DIFFERENT units of measure • Unit Rate – A RATE with a denominator of 1

  3. Becky picked 45 oranges in 15 minutes. Write this as a unit rate. 45 or. 3 or. = 1 min. 15 min. 45 ÷ 15 She picked 3 oranges per minute.

  4. Aileen downloaded 35 songs in 5 minutes. Write this as unit rate. 35 s. 7 s. = 1 min. 5 min. 35 ÷ 5 She downloaded 7 songs per min.

  5. In 4 hours a dragonfly can fly up to 144 miles. How many miles per hour is this? 144 mil. 36 mil. = 1 hrs. 4 hrs. 144 ÷ 4 They fly 36 m/h.

  6. Robert drove 405 miles on 15 gallons of gas. How many miles per gallon did he drive? 405 mil. 27 mil. = 1 gal. 15 gal. 405 ÷ 15 Robert drove 27 mpg

  7. Adult heartbeat: 2,100 in 30 min.Baby heartbeat: 2,600 in 20 min.How many more times does a baby’s heartbeat in 45 minutes? 2,100 hb. 70 hb. 70 x 45 = 3,150 = 1 30 min. min 2,600 hb. 130 hb. 130 x 45 = 5,850 = 20 min. min 1 5850 – 3150 = 2,700 more hb/m

  8. Adult heartbeat: 2,100 in 30 min.Baby heartbeat: 2,600 in 20 min.How many more times does a baby’s heartbeat in 60 minutes? 2,100 hb. 4200 hb. 30 x 2 = 60, so 2100 x 2 = ? = 60 30 min. min 20 x 3 = 60, so 2600 x 3 = ? 2,600 hb. 7800 hb. = 20 min. min 60 7800 – 4200 = 3,600 more hb/m

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