compares two things of the same units 6 boys 24 girls still the same unit – people -
TRANSCRIPT
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Ratios, Rates, Unit Rates:In the Real World
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RatiosCompares two things of the same units
6 boys24 girls
Still the same unit – people -
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Rates Compares two things withdifferent units of measurement
200 miles5 hours
2097 yards348 carries
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Unit RatesJust like rates, except evaluated so thedenominator is one. You divide here.
This is really like finding the “average.”
2097 yards348 carries
6.03 yards1 carry
=
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Create your own PowerPoint - Pick any theme/topic of your choosing.
- Find real data/stats.
- Compare these ratios, rates, unit rates, and analyze what they mean in real life.
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Requirements- 1 example of a RATIO – on 1 slide
- 6 examples of RATES (denominator cannot be 1)
- Simplify those rates to UNIT RATES on a different slide- Bar or Column Graph of UNIT RATES
- Make an X Y Scatter Plot showing all 6
- Visual aides!!!- Labels!!! - Colors!!!
- Last slide should analyze what the results mean to you in real life.
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Mr. A’sRatios, Rates, Unit Rates:
In the Real World
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Ratios:The gas in a leafblower needs tobe mixed with oil.
But, you need tomix the right amountor it will break.
An example is 50:1This means that for every ounce of oil, you need50 ounces of gasoline. Both units are measurementsof volume, making this a ratio.
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POWERWEIGHT
Lets compare the power (HP) andweight (lbs) of various motorcycles.
Rates:
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63 HP525 lbs
1990 Suzuki VX 800This is my old bike
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96 HP682 lbs
2007 Harley-Davidson Softail NightTrainMy next bike
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91 HP434 lbs
1999 Buell CycloneMy new bike.
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105 HP403 lbs
2013 Triumph Speed TripleWould love this one too
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40 HP540 lbs
1941 Harley-Davidson KnuckleheadSomeday!
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190 HP440 lbs
2013 KTM Superduke 1290Sounds fun
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350 400 450 500 550 600 650 7000
20
40
60
80
100
120
140
160
180
200
63 - Suzuki
96 – HD91 - Buell105 - Triumph
40 – Old HD
190 - KTM
Weight (lbs)
Pow
er (H
P)Power to Weight Comparison
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Unit Rates:
63 HP525 lbs
96 HP682 lbs
91 HP434 lbs
105 HP403 lbs
40 HP540 lbs
190 HP440 lbs
.12 HP 1 lbs
.14 HP 1 lbs
.21 HP 1 lbs
.26 HP 1 lbs
.07 HP 1 lbs
.43 HP 1 lbs
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Series10
0.05
0.1
0.15
0.2
0.25
0.3
0.35
0.4
0.45
0.12 0.14
0.21
0.26
0.07
0.43
SuzukiH-DBuellTriumph41 H-DKTM
Type of Bike
Pow
er to
Wei
ght
HP
per l
b
Horsepower per Pound
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So what does all this mean???-Well, with the exception of the 71 year-old, WWII-era Harley, my old Suzuki has the lowest horsepower per pound rate in the study.
- Also, it looks like the Buell is a good choice since it is an improvement over what I have, and is much cheaper than the newer Harley and the Triumph.
-The KTM’s numbers make it seem pretty dangerous! It is almost the same weight as the Buell, but has about 100 more horsepower. Some cars don’t have that much.
= too slow!
= Crazy, but fun!