1. Aim: Rates and Unit Rates
Do Now
1.) Find the area
2.) Find the missing side 6
30
3.) Find the missing angle
8
1

2. 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. 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?
3

4. 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
4

5. 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
5

6. 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?
6

7. 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. 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. 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. 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. With a partner complete the table below
Amount of
Bulb Cost
Hours
Rate Unit Rate
Ecosmart CFL
$4.23 2500 hours
(60 watt)
GE
Incandescent $21.69 3000 hours
(60 watt)
Phillips
Halogen (60 $25.31 3500 hours
watt)
Ecosmart LED
$3.14 2000 hours
(60 watt)
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12. Create a unit rate to compare the cost per hour
Amount of
Bulb Cost
Hours
Unit Rate
Ecosmart CFL $0.001692
$4.23 2500 hours
(60 watt) 1 hour
GE
$0.00723
Incandescent $21.69 3000 hours
1 hour
(60 watt)
Phillips
$0.00723
Halogen (60 $25.31 3500 hours
1 hour
watt)
Ecosmart LED $0.00157
$3.14 2000 hours
(60 watt) 1 hour
1) Which is the most energy efficient?
2) Which bulb would you choose and why?
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