Rates and Unit Rate

TOPIC: Rates and Unit Rate

Learning Target: I can find and use unit rates to solve problems.

A ratio that compares two quantities with different units.

 $\frac{2\ miles}{\frac{1}{4}hour}$   $\ 22miles\ per\ hour$  

A rate is NOT 

 $\frac{2miles}{3\ miles}\ \ \ \ \ \ \ \$  

 $or\ \ 22\ blocks\ for\ every\ 22\ blocks$  

Multiple Select

Which is not a RATE

• 
  

  $\frac{2\ miles}{4\ hours}$

• 60 hours in every 2 hours

• 30 miles per mile

• $\frac{55\ sq\ ft}{\frac{1}{2}hour}$

Multiple Choice

Greta uses 3 ounces of flour for every 

 $\frac{3}{4}$  of pasta.   Choose the rate.

• 3/4 pasta

•  $\frac{3\ cups\ of\ flour}{\frac{3}{4}\ pasta}$  

• 3 ounces

•  $\frac{\frac{3}{4}\ pasta}{3\ cups\ of\ flour}$  

UNIT RATE

A rate in which the second quantity is one.

Examples of Unit Rate

 $\frac{3\ miles}{1\ hour}\ ,\ 10\ cm\ per\ \min ute,\ \ \frac{110\ sq\ ft\ }{1\ hour}$  

Multiple Select

Which one is NOT a unit rate

• 4 miles per hour

• 4 miles in 3 hours

• $\frac{30\ miles}{1\ hour\ }$

• $\frac{69\ gallons}{5\ hours}$

Is a fraction that has a fraction in the numerator, denominator or both.

 $Ex:\ \frac{\frac{1}{3}}{4}\ \ \ \ \ \ \ \ \frac{4}{\frac{1}{3}}\ \ \ \ \ \ \ \ \ \ \ \frac{\frac{1}{4}}{\frac{1}{3}}$  

Multiple Select

Choose all the Complex Fractions.

• $\frac{1}{4}$

• $\frac{\frac{1}{3}}{5}$

• $\frac{3}{\frac{2}{3}}$

• $4$

Multiple Select

Which are NOT a complex fraction

• $\frac{1}{4}$

• $\frac{2}{\frac{2}{3}}$

• $4$

• $2.4$

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6th Grade R.9