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Survival of the Unit Rates, Fraction Ratios, and the Amazon Rainforest of course!

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Presentation on theme: "Survival of the Unit Rates, Fraction Ratios, and the Amazon Rainforest of course!"— Presentation transcript:

1 Survival of the Unit Rates, Fraction Ratios, and the Amazon Rainforest of course!

2 Vocabulary! Scale Factor: a ratio between two sets of measurements Unit Rate: a comparison of two measurements in which one of the terms has a value of 1

3 Unit Rates with Speed Example: The top speed of a panther is 426 miles per 6 hours. How far does he run in 1 hour? Step One: Set up the unit rate fraction. 426 miles 6 hours Step Two: Divide & write your answer as a unit rate. 71 miles per 1 hour or 71 miles per hour

4 Fractions and Unit Rates with Speed Example: The top speed of a jaguar is 150 miles per 3 hours. What is the unit rate (per hour)? Step One: Set up the unit rate fraction. Step Two: Divide and write your answer as a unit rate. 150 miles ÷ 3 hours 50 miles per hour

5 Unit Rates with Price Example: Epibatidine is a strong pain killer developed from the skin of a poison dart frog. It sells for $215 in the USA for 10 oz. What is the unit rate (per oz)? Step One: Set up the unit rate fraction. $215 10 oz Step Two: Divide & write your answer as a unit rate. $21.50 per oz

6 Fractions and Unit Rates with Price Example: In case you get caught in a mosquito swarm, you will want to be wearing insect repellant. Off Deep Woods Repellant costs 3/16 of a dollar per ¼ of an oz. Cutter Repellant costs 1/3 of a dollar for every 5/12 of an oz. Which is the better buy and why? Better Buy! It costs less per oz!

7 More Unit Rates Since 2009, the Amazon Rainforest has been deforested on average of ½ mile 2 per 1/14 day. What is the unit rate (per day)? Step One: Step Two: 7 miles 2 per day

8 Application! A caiman can travel ¼ of a mile in ½ of a minute. An anaconda can travel 1/12 of a mile in ¼ of a minute. A human can travel 1/10 of a mile in 1/3 of a minute. Would a human running at this speed be able to outrun either animal? Rate of Caiman: ½ mile per minute Rate of Anaconda: 1/3 mile per minute Rate of Human: 3/10 mile per minute *No!!! A human could not outrun either animal!


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