1. Section 2.2: Rate, Unit Rate, and Unit Price

2. 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.

3. Rate What is a rate? What is an example of 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 miles per 2 hours
2 hours
5 apples cost $ 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!

4. Rate More examples of a rate?
You paid $1.69 for a 100 gram of sugar. A rate to represent your case $ 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 beats per minute
min
REMEMBER – ALWAYS put money in the numerator!

5. Unit Rate What is a unit rate? What is an example of 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 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).

6. 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 miles
10 gallons
2nd: Divide by the denominator miles ÷ 10 = 3 miles
10 gallons ÷ gallon
3rd: Write in word form miles per gallon

7. 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 ÷ hr
3rd: Write in word form $13.00 per hour

8. Show You Know In your binder, do Show You Know questions on page 57.
Show All your work!
Answers:
A) 6 m per 1 s
B) $11 per 1 h
C) $1.8 per can

9. Remember the Key Words Rate: Unit Rate:
A rate is a comparison between two quantities measured in different units of measurement.
Example: 100 words or 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 km per 1 hour
1 hr

10. Unit Price What is a unit price? What is an example of a unit rate?
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?

11. 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).

12. Homework
Page 60
Questions: 4, 5, 6
Page 61
Questions: 10, 11, and 13