Rates Ratios and Unit Rates You will need two different colored highlighters

200 : 4 Rate – Ratio that compares 2 quantities measured in different units Ratio - a comparison of two quantities by division. Can be written 3 different ways. 200 to 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 C. Bananas to apples D. Apples to Kiwi 4 b 3 k 1. Write the first quantity on top with a label 2. Simplify, but do not convert to a proper fraction 4 b 3 k 4 b 6 a 2 b 3 a 6 a 3 k 2 a 1 k = =

675 beats 200 Miles 4 Hours ÷ ÷ Miles 1 Hour = 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. Ex 2) During exercise, Paul’s heart beats 675 times in 5 minutes. How many times does it beat per minute? 675 beats 5 minutes 135 beats 1 minute = ÷ ÷ 4 4

The Millers want to drive the 288 miles to Rainbow Falls in 6 hours. What should their average speed be in miles per hour? ÷ ÷ 6 6 Ex 3) 288 miles 6 hours 48 miles 1 hour = Pete saved $560 in 4 months and Mika saved $680 in 5 months. How much more will Pete have saved than Mika at the end of 1 year, continued at this rate? ÷ ÷ 4 4 Ex 4) $560 4 months $140 1 month = ÷ ÷ 5 5 $680 5 months $136 1 month = 140 – 136 = 4 4*12 = 48 Pete will have saved $48 more than Mika at the end of one year.

Essential Question Use an example to describe how a rate is a measure of one quantity per unit of another quantity.

Notes start here

Rates Ratios and Unit Rates You will need two different colored highlighters Date ___________

: Rate – Ratio that compares 2 quantities measured in different units A ratio is a comparison of two quantities. Can be written 3 different ways. 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 B. Kiwi to bananas C. Bananas to apples D. Apples to Kiwi 1. Write the first quantity on top with a label 2. Simplify, but do not convert to a proper fraction

200 Miles 4 Hours ÷ ÷ 50 Miles 1 Hour = 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. Ex 2) During exercise, Paul’s heart beats 675 times in 5 minutes. How many times does it beat per minute? =

The Millers want to drive the 288 miles to Rainbow Falls in 6 hours. What should their average speed be in miles per hour? ÷ ÷ Ex 3) = Pete saved $560 in 4 months and Mika saved $680 in 5 months. How much more will Pete have saved than Mika at the end of 1 year, continued at this rate? ÷ ÷ Ex 4) = =

Essential Question Use an example to describe how a rate is a measure of one quantity per unit of another quantity.