Post on 23-Feb-2016
description
Ratios, Rates, Unit Rates:In the Real World
RatiosCompares two things of the same units
6 boys24 girls
Still the same unit – people -
Rates Compares two things withdifferent units of measurement
200 miles5 hours
2097 yards348 carries
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.
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.
Mr. A’sRatios, Rates, Unit Rates:
In the Real World
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.
POWERWEIGHT
Lets compare the power (HP) andweight (lbs) of various motorcycles.
Rates:
63 HP525 lbs
1990 Suzuki VX 800This is my old bike
96 HP682 lbs
2007 Harley-Davidson Softail NightTrainMy dream bike
91 HP434 lbs
1999 Buell CycloneMy new bike.
105 HP403 lbs
2013 Triumph Speed TripleWould love this one too
40 HP540 lbs
1941 Harley-Davidson KnuckleheadSomeday!
190 HP440 lbs
2013 KTM Superduke 1290Sounds fun
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
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 p
er lb
Horsepower per Pound
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!