** Rates**

We will determine unit rates.

**Rate:** A rate is ratio that compares two quantities with different units like miles per hour.

**Unit rate:** A unit rate is a rate that has a denominator of 1.

Examples:

1).Anna downloaded 35 songs in 5 minutes. How many songs did she download per minute?

**Step 1**: We need to write a rate that compares the number of downloads to the number of minutes.

When you set up a proportion using rates, **units are different within the fractions.** songs are in the numerator of both fractions and minutes are in the denominator of both fractions **.**UNITS need to be labeled.

**Step 2: Divide the numerator and denominator by 5. Anna downloaded 7 songs per minute.**

**2).** Jonathan drove 405 miles using one tank of gasoline on vacation. His car's gasoline tank holds 15 gallons. How many miles per gallon did he drive?

**Step 1:** We need to write a rate that compares the miles Jonathan drove to the number of gallons.When setting up a proportion using rates, units are different within the fractions. Miles are in the numerator of both fractions and gallons are in the denominator of both fractions. You also need to label the units.

**Step 2: Divide the numerator and denominator by 15. Jonathan drove 27 miles per gallon**

**3).** The Shanghai Maglev Train is the fastest train in the world, traveling about 2,144 miles in 8 hours. How many miles does it travel in one hour.Step 1:We need to write a rate comparing miles to hours. Miles will be in the numerator and hours will be in the denominator.

Step 2: Divide the numerator and denominator by 8. The Shanghai Maglev Train travel 268 miles per hour.

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Created by Wanda Collins May 10, 2015 at 1:56pm. Last updated by Wanda Collins May 10, 2015.

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Question: Why is this a mathematical limerick?

( (12 + 144 + 20 + 3 Sqrt[4]) / 7 ) + 5*11 = 9^{2} + 0 .

Answer:

A dozen, a gross, and a score,

plus three times the square root of four, divided by seven, plus five times eleven, is nine squared and not a bit more.

---Jon Saxton (math textbook author)

**Presentation Suggestions:**

Challenge students to invent their own math limerick!

**The Math Behind the Fact:**

It is fun to mix mathematics with poetry.

**Resources:**

Su, Francis E., et al. "Math Limerick." Math Fun Facts.

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