Section 2.2:Rate, Unit Rate, and Unit

Price

Objectives:

I can define what a rate, unit rate, unit price is.

I can express rates, unit rates, and unit price using words and symbols.

I can identify, describe, and record rates from real-life examples.

I can solve problems using rates.

Rate

What is a rate? A rate is a comparison between two quantities measured

in different units of measurement.

What is an example of a rate? You ran 5 miles in 2 hours. A rate to represent you

running would be 5 miles or 5 miles per 2 hours

2 hours 5 apples cost $2.00. A rate to represent the cost of the

apples would be $2.00 5 apples REMEMBER – ALWAYS put money in the numerator! Notice: A rate can be written as a fraction only!

Rate

More examples of a rate? You paid $1.69 for a 100 gram of sugar. A rate to

represent your case $1.69 or $1.69 per 100 gram

100 g Your heart beats 72 beats every one minute. A rate to

represent your heart beating would be: 72 beats or 72 beats per minute min REMEMBER – ALWAYS put money in the numerator!

Unit Rate

What is a unit rate? A unit rate is a rate in which the second term is one .

What is an example of a unit rate? You ran 20 km in one hour. A unit rate to represent you

running is 20 km or 20 km per hour! h

How do we find unit rate? 1st: Set up a unit rate 2nd: Divide by the denominator 3rd: Write your answer in word form (the numerator

PER the denominator).

Unit Rate

Another example of a unit rate. A car drives 30 miles on 10 gallons. To write a unit

rate follow the three step. 1st: Set up a rate 30 miles 10 gallons

2nd: Divide by the denominator 30 miles ÷ 10 = 3 miles

10 gallons ÷ 10 1 gallon

3rd: Write in word form 3 miles per gallon

Unit Rate

Your turn. Heba earns $78.00 for working 6 hours at Tim

Hortons. Determine the unit rate for this situation. 1st: Set up a rate $78.00 6 hr

2nd: Divide by the denominator $78.00 ÷ 6 = $13.00

6 hr ÷ 6 1 hr

3rd: Write in word form $13.00 per hour

Show You KnowShow You Know

In your binder, do Show You Know questions on page 57.

Show All your work!Answers:A) 6 m per 1 sB) $11 per 1 hC) $1.8 per can

Remember the Key Words

Rate: A rate is a comparison between two quantities

measured in different units of measurement. Example: 100 words or 100 words per 5

min 5 min

Unit Rate: A unit rate is a rate in which the second term is one . Example: 15 km or 15 km per 1 hour 1 hr

What is a unit price? A unit price is a unit rate

that makes it easier to compare the cost of similar items.

Often used when shopping

Usually shown per 100g or 100 mL

What is an example of a unit rate?

Unit Price

Unit Price

How do we find unit price? 1st: Set up a unit price formula.

2nd: Divide cost by the volume.

3rd: Write your answer in word form (the numerator PER the denominator).

Homework

Page 60 Questions: 4, 5, 6

Page 61Questions: 10, 11, and 13