1. 01/18/ Unit Rates
Warm Up
A shopping cart contains 35 cans of soda, 16 oranges, 17 carrots, and 29 cookies. Write ratios for each of the following.
1. Carrots to oranges
2. Cookies to cans of soda
3. Oranges to carrots
4. Cookies to oranges and soda
Today’s Plan:
-Warm-Up & Test Results
-Unit Rates Lesson
-Unit Rates Assignment
Learning Target: I will calculate and compare unit rates.

2. 01/18/11 Unit Rates Test Results Today’s Plan:
-Warm-Up & Test Results
-Unit Rates Lesson
-Unit Rates Assignment
Learning Target: I will calculate and compare unit rates.

3. Compare and Order Ratios
01/18/ Unit Rates
Compare and Order Ratios
Divide. Round answers to the nearest tenth.
420 18
73 21
23.3
3.5
380 16
430 18
23.9
23.8
Now arrange the original ratios from least to greatest.
Today’s Plan:
-Warm-Up & Test Results
-Unit Rates Lesson
-Unit Rates Assignment
Learning Target: I will calculate and compare unit rates.

4. 01/18/11 Unit Rates Unit Rates
If the measure of the second quantity in a rate or ratio is one unit, then the rate is a unit rate.
Today’s Plan:
-Warm-Up & Test Results
-Unit Rates Lesson
-Unit Rates Assignment
Learning Target: I will calculate and compare unit rates.

5. 01/18/ Unit Rates
Movie and television screens range in shape from almost perfect squares to wide rectangles.
An aspect ratio describes a screen by comparing its width to its height.
Common aspect ratios are 4:3, 37:20, 16:9, and 47:20.
Today’s Plan:
-Warm-Up & Test Results
-Unit Rates Lesson
-Unit Rates Assignment
Learning Target: I will calculate and compare unit rates.

6. Additional Example 1A: Ordering Ratios
A. Order the ratios 4:3, 23:10, 13:9, and 47:20 from the least to greatest.
4 3
4 3
Divide. =
1.3 1
4:3 =
= 1.3
23 10
23:10 =
= 2.3
13 9
13:9 =
= 1.4
47 20
47:20 =
= 2.35
The decimals in order are 1.3, 1.4, 2.3, and 2.35.
The ratios in order from least to greatest are 4:3, 13:9, 23:10, and 47:20.

7. Try This: Example 1A
A. Order the ratios 2:3, 35:14, 5:3, and 49:20 from the least to greatest.
2 3
2 3
Divide. =
0.6 1
2:3 =
= 0.6
35 14
35:14 =
= 2.5
5 3
5:3 =
= 1.6
49 20
49:20 =
= 2.45
The decimals in order are 0.6, 1.6, 2.45, and 2.5.
The ratios in order from least to greatest are 2:3, 5:3, 49:20, 35:14.

8. Additional Example 2A: Writing Rates and Unit Rates
Course 2
5-1
Ratios and Rates
Additional Example 2A: Writing Rates and Unit Rates
Find the unit rates and write them in both fraction and word forms.
A. Gordon memorized 560 vocabulary words in 28 days.
Rate in fraction form
560 words
28 days
560 ÷ 28
28 ÷ 28
20 words
1 day
Unit rate in fraction form =
Gordon memorized 20 words per day.
Unit rate in word form

9. Additional Example 2B: Writing Rates and Unit Rates
Course 2
5-1
Ratios and Rates
Additional Example 2B: Writing Rates and Unit Rates
Find the unit rates and write them in both fraction and word forms.
B. Pete added 12 ounces of chocolate chips to a recipe that yielded 48 cookies.
Rate in fraction form
12 oz
48 cookies
12 ÷ 48
48 ÷ 48
0.25 oz
1 cookie
Unit rate in fraction form =
There is 0.25 ounce of chocolate chips per cookie.
Unit rate in word form

10. 5-1 Ratios and Rates 1,000 m Rate in fraction form 5 min 1,000 ÷ 5
Course 2
5-1
Ratios and Rates
Try This: Example 2A
Find the unit rates and write them in both fraction and word forms.
A. Harold could jog 1,000 meters in 5 minutes.
1,000 m
5 min
Rate in fraction form
1,000 ÷ 5
5 ÷ 5
200 m
1 min
Unit rate in fraction form =
Harold jogged 200 meters per minute.
Unit rate in word form

11. 5-1 Ratios and Rates Rate in fraction form 3 oz 12 muffins 3 ÷ 12
Course 2
5-1
Ratios and Rates
Try This: Example 2B
Find the unit rates and write them in both fraction and word forms.
B. Yvonne added 3 ounces of blueberries to a recipe that made 12 muffins.
Rate in fraction form
3 oz
12 muffins
3 ÷ 12
12 ÷ 12
0.25 oz
1 muffin
Unit rate in fraction form =
There is 0.25 ounce of blueberries per muffin.
Unit rate in word form

12. Additional Example 3: Simplifying Ratios to Make Comparisons
Course 2
5-1
Ratios and Rates
Additional Example 3: Simplifying Ratios to Make Comparisons
Honey-lemon cough drops come in packages of 30 drops per 10-ounce bag. Cherry cough drops come in packages of 24 drops per 6-ounce bag. Compare the ratio of drops per ounces for each bag of cough drops.
Honey-lemon
Cherry
Ounces 10 6
Drops 30 24
drops
ounces 30 10 3 1 =
Honey-lemon: =
Simplify the ratio.
drops
ounces 24 6 4 1
Cherry: = =
Simplify the ratio. 4 1 3 1
is greater than .
The ratio of drops to ounces is greater in the bag of cherry cough drops.

13. 5-1 Ratios and Rates Try This: Example 3
Course 2
5-1
Ratios and Rates
Try This: Example 3
Jawbreakers come in small packages of 20 per 5 ounce package and large packages of 24 per 8 ounce package. Compare the ratio of jawbreakers per ounce for each of the packages.
Large
Small
Ounces 8 5
Jawbreaker 24 20
jawbreaker
ounces 24 8 3 1 =
Large: =
Simplify the ratio.
jawbreaker
ounces 20 5 4 1
Small: = =
Simplify the ratio. 4 1 3 1
is greater than .
The ratio of jawbreakers to ounces is greater in the small package.

14. Insert Lesson Title Here
Course 2
5-1
Ratios and Rates
Insert Lesson Title Here
Find the unit rate and write it in both fraction and word form.
There are 220 calories in 5 crackers.
44 calories
1 cracker
, 44 calories per cracker

15. = $1.50 per bag goldfish 01/18/11 Unit Rates $3 2 bags goldfish
Unit price is a unit rate used to compare costs per item. With unit price, $ go on the top of the ratio. $3
2 bags goldfish
= $1.50 per bag goldfish
Today’s Plan:
-Warm-Up & Test Results
-Unit Rates Lesson
-Unit Rates Assignment
Learning Target: I will calculate and compare unit rates.

16. Additional Example 3A: Finding Unit Prices to Compare Costs
Pens can be purchased in a 5-pack for $1.95 or a 15-pack for $ Which is the better buy?
Divide the price by the number of pens.
price for package
number of pens
$1.95 5 = 
$0.39
price for package
number of pens
$6.20 15 = 
$0.41
The better buy is the 5-pack for $1.95.

17. Try This: Example 3A
Golf balls can be purchased in a 3-pack for $4.95 or a 12-pack for $ Which is the better buy?
Divide the price by the number of balls.
price for package
number of balls
$4.95 3 = 
$1.65
price for package
number of balls
$18.95 12 = 
$1.58
The better buy is the 12-pack for $18.95.

18. Additional Example 3B: Finding Unit Prices to Compare Costs
Jamie can buy a 15oz jar peanut butter for $2.19 or a 20 oz jar for $ Which is the better buy?
Divide the price by the number of ounces.
price for jar
number of ounces
$2.19 15 = 
$0.15
price for jar
number of ounces
$2.78 20 = 
$0.14
The better buy is the 20-oz jar for $2.78.

19. Try This: Example 3B
John can buy a 24 oz bottle of ketchup for $2.19 or a 36 oz bottle for $ Which is the better buy?
Divide the price by the number of ounces.
price for bottle
number of ounces
$2.19 24 = 
$0.09
price for bottles
number of ounces
$3.79 36 = 
$0.11
The better buy is the 24-oz jar for $2.19.

20. 01/18/11 Unit Rates Assignment Page 262 #1-13 Today’s Plan:
-Warm-Up & Test Results
-Unit Rates Lesson
-Unit Rates Assignment
Learning Target: I will calculate and compare unit rates.