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Rates Ratios and Unit Rates You will need two different colored highlighters Not all slides are used in the notes • Ratio - a comparison of two quantities by division. Can be written 3 different ways. 200 : 4 200 to 4 200 4 • Rate – Ratio that compares 2 quantities measured in different units 200 Miles : 4 Hours 200 Miles to 4 Hours 200 Miles 4 Hours Ex 1) A basket of fruit contains 6 apples, 4 bananas, and 3 kiwi. Write a ratio in all 3 forms for the following: A. Bananas to kiwi B. Kiwi to bananas 4b 3k 3k 4b C. Bananas to apples 2b 4b 6a = 3a D. Apples to Kiwi 6a 2a 3k = 1k 1. Write the first quantity on top with a label 2. Simplify, but do not convert to a proper fraction A unit rate is a rate whose denominator is 1. To change a rate to a unit rate, divide both the numerator and denominator by the denominator. 200 Miles 4 Hours = 50 Miles 1 Hour Ex 2) During exercise, Paul’s heart beats 675 times in 5 minutes. How many times does it beat per minute? 675 beats beats 675 5 minutes ÷ 5 ÷ 5 = 135 beats 1 minute Ex 3) The Millers want to drive the 288 miles to Rainbow Falls in 6 hours. What should their average speed be in miles per hour? 288 miles 6 hours ÷ 6 ÷ 6 = 48 miles 1 hour Notes start here Date ___________ Rates Ratios and You will need two different colored highlighters A ratio is a comparison of two quantities. Can be written 3 different ways. : to • Rate – Ratio that compares 2 quantities measured in different units : to Ex 1) A basket of fruit contains 6 apples, 4 bananas, and 3 kiwi. Write a ratio in all 3 forms for the following: A. Bananas to kiwi 1. Write the first quantity on top with a label B. Kiwi to bananas 2. Simplify, but do not convert to a proper fraction C. Bananas to apples D. Apples to Kiwi A unit rate is a rate whose denominator is 1. To change a rate to a unit rate, divide both the numerator and denominator by the denominator. 200 Miles 4 Hours = 50 Miles 1 Hour Ex 2) During exercise, Paul’s heart beats 675 times in 5 minutes. How many times does it beat per minute? ÷ ÷ = Ex 3) The Millers want to drive the 288 miles to Rainbow Falls in 6 hours. What should their average speed be in miles per hour? ÷ ÷ =