Rates and unit rates

Rates and unit rates

What are ratios?

• compares two quantities, with or without units.

• You can write a ratio in 3 different forms: fraction, colon, the word "to"

• You can use a ratio to compare information in three different settings: a part-to-part comparison, a part-to-whole comparison, or a whole-to-part comparison

Multiple Select

all the students in the class to 5 boys

• whole-to-part

• part-to-part

• part-to-whole

Multiple Select

7 girls to 5 boys

• part-to-part

• part-to-whole

• whole-to-part

What are rates?

• A rate is a ratio in which two quantities are measured in different units.

• For example 12 golf balls for $6 can be written as 12:6. This RATE compares golf balls to their price.

• 
  

• Both a ratio and a rate can be stated i the form of a fraction

• can sometimes be expressed as whole numbers because the denominator is assumed to be one

• example

   $\frac{6}{1}=6\ or\ 60\ mph$  

Multiple Choice

8:5 is equivalent to 16:_

• 8

• 16

• 10

What is a unit rate?

• A rate with a denominator of 1.

• When finding the unit rate, simplify the ratio.

• You could also divide.

• Basically think... "How much is just 1?"