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

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

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

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

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

Page 2: Survival of the Unit Rates, Fraction Ratios, and the Amazon Rainforest of course!

Concept Map Update

Use the pieces of the concept map puzzle to sort information you know and information you will learn.

Complete the examples of the information that you know.

Page 3: Survival of the Unit Rates, Fraction Ratios, and the Amazon Rainforest of course!

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

Page 4: Survival of the Unit Rates, Fraction Ratios, and the Amazon Rainforest of course!

Unit Rates with Speed

Example: The top speed of a panther is 426 miles per 6 hours. What is the unit rate?

Step One: Set up the unit rate fraction.

Step Two: Divide & write your answer as a unit rate.

71 miles per 1 hour or 71 miles per hour

Page 5: Survival of the Unit Rates, Fraction Ratios, and the Amazon Rainforest of course!

Fractions and Unit Rates with SpeedExample: The top speed of a jaguar is ¼ miles per 1/200 of an hour. What is the unit rate?

Step One: Set up the unit rate fraction.

Step Two: Divide and write your answer as a unit rate.

50 miles per hour

Page 6: Survival of the Unit Rates, Fraction Ratios, and the Amazon Rainforest of course!

Unit Rates with PriceExample: 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?

Step One: Set up the unit rate fraction.

Step Two: Divide and write your answer as a unit rate.

$21.50 per oz.

Page 7: Survival of the Unit Rates, Fraction Ratios, and the Amazon Rainforest of course!

Fractions and Unit Rates with PriceExample: 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?

Off Brand:

Step One:

Step Two:

Cutter Brand:

Step One:

Step Two:

Better Buy! It costs less per oz!

Page 8: Survival of the Unit Rates, Fraction Ratios, and the Amazon Rainforest of course!

More Unit RatesSince 2009, the Amazon Rainforest has been deforested on average of ½ mile2 per 1/14 day. What is the unit rate?

Step One:

Step Two: = 7 miles2 per day

Page 9: Survival of the Unit Rates, Fraction Ratios, and the Amazon Rainforest of course!

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 minuteRate of Anaconda: 1/3 mile per minuteRate of Human: 3/10 mile per minute*No!!! A human could not outrun either animal!

Page 10: Survival of the Unit Rates, Fraction Ratios, and the Amazon Rainforest of course!

Scavenger Hunt

Directions:1) Pick one scavenger hunt problem on the wall to

start at. Solve the problem on the lower half of the sheet.

2) When you have your answer, look around on the walls until you find your answer on the top of a different scavenger hunt problem.

3) Solve the problem on the lower half of the sheet.4) Repeat unit you are back at the paper with which

you started.