Ratios, Rates, & Unit Rates

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Presentation transcript:

Ratios, Rates, & Unit Rates Lesson 9

ratio Ratio: a comparison of two quantities by division without labels Part to part Part to whole Ratios can be written with words, a colon, or as a fraction. Make sure to write ratios in simplest form. ratio

Practice Writing ratios There are 6 apples, 4 bananas, 3 oranges What is the ratio of bananas to apples? What is the ratio of bananas and apples to oranges? What is the ratio of oranges to total pieces of fruit? There are 11 boys and 13 girls in a class. What is the ratio of boys to girls? What is the ration of boys to students? Practice Writing ratios

Rate: a ratio that compares two quantities measured in different units, includes labels. Written as a fraction. 160 Beats 2 Minutes 288 Miles 6 hours Rate

Unit Rate: a rate whose denominator is 1 when written as a fraction. To find the unit rate, divide the numerator (top) by the denominator (bottom). 160 Beats ÷ 2 = 80 beats 2 Minutes ÷ 2 1 minute 288 Miles ÷ 6 = 48 miles 6 hours ÷ 6 1 hour MONEY ALWAYS GOES ON TOP Unit Rates

Practice Unit Rates

Practice Unit rates

Complex Fractions: contain a fraction in the numerator, denominator, or both.

Practice Unit rates with complex fractions Divide the numerator by the denominator! Practice Unit rates with complex fractions

Unit rates with complex fractions Unit rates may include complex fractions. EX: Marc mowed ½ of his yard in 1 hour. To find the unit rate, divide the numerator (top) by the denominator (bottom). 1 1 2 3 8 4 cups of flour 1 cup of sugar Cups of flour Cups of sugar Unit rates with complex fractions

Practice Unit rates with complex fractions

Better Buy/ better deal To find the better buy, compare unit rates. Determine which item is the cheapest per unit. Find the unit rate for each item, then compare. To find the unit rate divide the numerator by the denominator. Round to the nearest cent (hundredth). Money should always be the numerator, to find the cost per unit! $1.79 $2.12 96 oz 182 oz $0.02 per oz for brand a $0.01 per oz for brand b Brand B is the BETTER BUY! It is cheaper. Better Buy/ better deal

Practice Better buy

Better buy practice

Better buy practice

If two rates have the same unit rate, they are proportional! *Remember this for next week! Proportional rates