This document discusses rates and unit rates. It provides examples of calculating rates and unit rates for distances traveled and amounts of substances used. It examines fuel efficiency rates for different vehicles. Students are asked questions to determine the most and least fuel efficient cars and factors impacting efficiency. Examples demonstrate calculating distances or amounts using a known rate over different time periods or amounts. The document prepares students for a quiz on rates and unit rates.

1. Day 1 Rates and Unit Rates mpg.notebook October 25, 2012
Aim: Rates and Unit Rates
Do Now
Evaluate the following numeric expressions
following the order of operations.
a.) b.)
1
2
- 3( -2
3 ) -2
5 + -1 ÷ -7
2 9
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2. Day 1 Rates and Unit Rates mpg.notebook October 25, 2012
Model Miles Gallons of Gas Used
Toyota Prius Hybrid 6000 miles 120 gallons
Nissan Leaf 13365 miles 135 gallons
Hyundai Sonata 3080 miles 110 gallons
Ferrari FF 1495 miles 115 gallons
Ford Escape Hybrid 3520 miles 110 gallons
GMC
1440 miles 120 gallons
placeStateYukon XL
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3. Day 1 Rates and Unit Rates mpg.notebook October 25, 2012
1) Which was the most energy efficient? How did you
determine your answer?
2) Which car was the least energy efficient? How did
you determine your answer?
3) Why are certain cars more energy efficient than
others?
4) Which of these cars would you buy based on this
analysis?
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4. Day 1 Rates and Unit Rates mpg.notebook October 25, 2012
Toyota Prius
Nissan Leaf
6000 miles 120 gallons of gas used
13365 miles 135 gallons of gas used
Rate: Unit Rate: Rate: Unit Rate:
Hyundai Sonata
Rate: Unit Rate:
3080 miles 110 gallons of gas used
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5. Day 1 Rates and Unit Rates mpg.notebook October 25, 2012
Ferrari FF Ford Escape Hybrid
1495 miles 115 gallons of gas used 3520 miles 110 gallons of gas used
Rate: Unit Rate: Rate: Unit Rate:
GMC Yukon XL
Rate: Unit Rate:
1440 miles 120 gallons of gas used
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6. Day 1 Rates and Unit Rates mpg.notebook October 25, 2012
Anticipatory Set
We have all seen the Trident commercials that tell us that
4 out of every 5 dentist recommend Trident to their
patients. What does that mean?
Did they only survey 5 dentists?
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7. Day 1 Rates and Unit Rates mpg.notebook October 25, 2012
Ratio: a comparison of two quantities by division.
Rate: A ratio that compares two quantities measured in
different units.
Example: A person drove 75 miles in 3 hours.
Unit Rate: A rate where the second quantity is one unit.
Example: A person drove at a rate of 25 miles per 1 hour.
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8. Day 1 Rates and Unit Rates mpg.notebook October 25, 2012
Example 1.) Gabriella Bikes 78 miles in 6 hours
Rate:___________ Unit Rate:____________
Gabriella decides to travel at the same rate for 10 hours.
How many miles did the she travel?
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9. Day 1 Rates and Unit Rates mpg.notebook October 25, 2012
Example 2.) A car travels 330 miles in 8 hours.
Rate:___________ Unit Rate:____________
The same car travels at the same rate for 1 day. How
many miles did the car travel?
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10. Day 1 Rates and Unit Rates mpg.notebook October 25, 2012
Example 3.) A recipe for a garden weed killer involves
mixing 11 tablespoons of liquid soap with 2 quarts of water.
Rate:___________ Unit Rate:____________
How many tablespoons of liquid soap would you need to add to 6 quarts of
water?
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11. Day 1 Rates and Unit Rates mpg.notebook October 25, 2012
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12. Day 1 Rates and Unit Rates mpg.notebook October 25, 2012
Before You Leave
What other factors would impact
wait time in the last example?
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13. Day 1 Rates and Unit Rates mpg.notebook October 25, 2012
Homework
Prepare for tomorrow's quiz
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