POD Find your pulse. We are going to count how many beats your heart makes in 2 minutes. Teacher will keep the time. You keep count. Write your results.

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Presentation transcript:

POD Find your pulse. We are going to count how many beats your heart makes in 2 minutes. Teacher will keep the time. You keep count. Write your results as a ratio.

1-1 Ratios and Rates A ratio is a pair of numbers used to show a comparison between like or unlike quantities. Example: x y x : y x to y The numbers x and y are called terms.

Two ratios are equivalent ratios if their corresponding fractions are equivalent Ex: Find a ratio equivalent to 4/5 x2 =

Rate- a ratio that compares 2 quantities with different kinds of units. Unit Rate- when a rate is simplified so that it has a denominator of 1. Example: 160 beats 2 minutes 160 beats : 2 minutes 160 beats to 2 minutes

Some common unit rates: Miles per hour- average speed Miles per gallon- gas mileage Price per pound- unit price You turn a rate into a unit rate by simplifying the denominator to 1.

Ex 1: 160 beats: 2 minutes Write as a fraction 160 beats 2 minutes Divide numerator and denominator by 2 ÷2 Simplify 80 beats 1 minute

Whiteboard time! Write the ratio of chairs to tables in this classroom in three different forms 39 chairs: 9 tables 39 chairs to 9 tables 39 chairs 9 tables

Are the following ratios equivalent? 1.) 7:3 128:54 2.) 6.1 to to 35 Not equivalent Equivalent

Adrienne biked 24 miles in 4 hours. If she biked at a constant speed, how many miles did she ride in 1 hour? 24 mi. 4 hrs. Write it as a fraction 24 ÷ 4 4 ÷ 4 Divide numerator and denominator by 4 Simplify 6 mi. 1 hr.

Ex. 2: Find the unit price if it costs $2 for eight juice boxes. Write it as a fraction$ 2 8 boxes Divide the numerator and denominator by 8 2 ÷ 8 8 ÷ 8 Simplify$ box The unit price is $0.25 per box

A package of cheddar cheese contains 15 servings and has a total of 147 grams of fat. Find the unit rate of grams of fat per serving. 147 grams 15 servings ÷ grams 1 serving A package of cheddar cheese 9.8 grams of fat per serving