01/18/11 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.

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.

Compare and Order Ratios 01/18/11 Unit Rates Compare and Order Ratios Divide. Round answers to the nearest tenth. 1. 2. 3. 4. 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.

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.

01/18/11 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.

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.

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.

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

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

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

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

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.

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.

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

= $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.

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 $6.20. 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.

Try This: Example 3A Golf balls can be purchased in a 3-pack for $4.95 or a 12-pack for $18.95. 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.

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 $2.78. 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.

Try This: Example 3B John can buy a 24 oz bottle of ketchup for $2.19 or a 36 oz bottle for $3.79. 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.

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.