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

=

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!