1. Rate and Unit Rate
First and foremost, a rate is a ratio!
The difference? A rate compares two things that are measured with different units.
Miles per hour
Feet per second
Price per pound
Books per week
Ounces per bottle
Calories per serving …

2. 24 bottles : 8 minutes = 24 bottles per 8 minutes = 3 bottles/minute
The Ratio The Rate The UNIT Rate

4. “How fast were you going?” Ratio – 208 miles:4 hours
By dividing the 208 by 4, you uncover the unit rate, 52 mph.
Miles
Hours

5. “How much did you pay for those strawberries?”
“You should have gone to Shop Rite.”
Ratio – 3 pounds:$15.45
By dividing the $15.45 by 3, you uncover the unit rate, $5.15/lb.
$15.45
Price
Pound

6. Using Double Number Lines to Find the Unit (and beyond…)
Snoopy can type 8 words in ¼ minutes.
How many words can he type in 15
minutes? 8
Words
Minutes

7. Understanding Ratios as Unit Rates (Value)
2 gallons to 3 minutes = 2/3 gallons per minute
3 pages to 4 minutes = ¾ page per minute
1 page to 2 hours = ½ page per hour
AND Reverse…
8/9 feet per second = 8 feet to 9 seconds
4/5 miles per hour = 4 miles to 5 hours
2/3 cups per minute = 2 cups to 3 minutes

8. Using Division to Find the Unit Rate
$10.50 / 3 lbs.
22 pages / 5 hours
9 words / ¼ minute

9. Convert Measurement Units Using Rates
Rob ran 6 miles per hour. How many miles would he run in 3 hours.
hours =
Miles
hour
= 60 miles x
6 miles 10 hours
Hour X

10. Graphing and Interpreting Rates on a Coordinate Plane

11. Comparison Shopping – Unit Price

13. Distance = Rate x Time …
d = rt
Any problem that includes time, rate, and/or distance can be solved by using the distance formula (above).

14. DRT problems from Smart