1. Warm-up: On page. Write each ratio in simplest form.
48 : 12
36 to 9
75 to 15
42 : 7
125 to 5

2. Rates

3. 2 buckets of ice cream/11 people
What is rate?
a ratio that compares two quantities measured in different units.
You have 2 buckets of ice cream for 11 people
2 buckets of ice cream/11 people

4. Example 1
You drive 180 mi in 3 hrs 180 mi/3 hrs or 60 mi/hr

5. What is a unit rate? HAS A DENOMINATOR OF 1!
Divide numerator by denominator!
Or you can reverse. The numerator can be one instead. It depends on how you set up your ratio.

6. Example 2: My heart beats 150 times in 2 minutes.
Rate:
150 heartbeats
2 minutes
Unit Rate (Divide to get it):
150 ÷ 2 = 75 heartbeats per minute.
75 heartbeats =
1 minute

7. Example 3: Find the Unit Rate
Amy can read 88 pages in 4 hours. What is the unit rate? (How many pages can she read per hour?)
88 pages
22 pages / hour
4 hours
22 pages =
1 hour

8. Example 4: Find the Unit Rate
A box of crackers has 420 calories in 6 servings. Find the unit rate for 1 serving of crackers.
420 calories
70 calories / serving
6 servings
70 calories =
1 serving

9. How do you compare unit prices?
Use division to find the unit prices (rate) of both products.
Smaller number (costs less) is the better value.

10. Example 5
Juice is sold in two different sizes. A 48-fluid ounce bottle costs $ A 32-fluid ounce bottle costs $ Which is the better buy?
$2.07
$0.04 per fl.oz.
48 fl.oz.
$1.64
$0.05 per fl.oz.
32 fl.oz.
The 48 fl.oz. bottle is the better value because it is $0.01 less per fluid ounce.

11. Example 6
You can buy 3 bagels for $2.85 or 5 bagels for $4.00. Which is the better buy?
$2.85
$0.95 / 1 bagel
3 bagels
$4.00
$0.80 / 1 bagel
5 bagels
The 5 bagels are the better value because it costs $0.15 less per bagel.