Slide 1

5 Minute Check Simplify by dividing by the GCF. Complete in your notebook. 6 1. 16 45 2. 63 90 3. 120 6 4. 24 Slide 2 5 Minute Check Simplify by dividing by the GCF. Complete in your notebook. 6 6 2 3 1. 1616 2 = 8 45 2. 63 90 3. 120 6 4. 24 Slide 3 5 Minute Check Simplify dividing by the GCF. Complete in your notebook. 6 6 2 3 1. 1616 2 = 8 45 45 9 5 2. 63 63 9 = 7 90 3. 120 6 4. 24 Slide 4 5 Minute Check Simplify dividing by the GCF. Complete in your notebook. 6 6 2 3 1. 1616 2 = 8 45 45 9 5 2. 63 63 9 = 7 90 90 30 3 3. 120 120 30 = 4 6 4. 24 Slide 5 5 Minute Check Simplify dividing by the GCF. Complete in your notebook. 6 6 2 3 1. 1616 2 = 8 45 45 9 5 2. 63 63 9 = 7 90 90 30 3 3. 120 120 30 = 4 6 6 6 1 4. 24 24 6 = 4 Slide 6 Monday, Sept 9 Lesson 1.3 Unit Rates Slide 7 Slide 8 Is 40 miles in 4 hours a ratio? Slide 9 Unit Rates Is 40 miles in 4 hours a ratio? Yes, it compares two quantities. Slide 10 Unit Rates How can you write 40 miles in 4 hours as a ratio? Slide 11 Unit Rates How can you write 40 miles in 4 hours as a ratio? 40 miles 4 hours 40 miles: 4 hours 40 miles in 4 hours Slide 12 Unit Rates 40 miles How is 4 hours different from a ratio such 2 as 5 ? Slide 13 Unit Rates 40 miles How is 4 hours different from a ratio such 2 as 5 ? 40 miles 4 hours compares two different types of units. Slide 14 Unit Rates What does 40 miles in 4 hours mean? Slide 15 Unit Rates What does 40 miles in 4 hours mean? It means you will travel 40 miles every 4 hours. Slide 16 Unit Rates Example s 15 dollars 40 miles 120 students 3 pounds 4 hours 3 buses A rate is a ratio (fraction) comparing quantities of different kinds of units. Slide 17 Unit Rates Examples- 5 dollars 10 miles 40 students 1 pound 1 hour 1 bus A unit rate is a rate with a denominator of 1 when the rate is written as a fraction. To determine the unit rate, divide the fraction by the number in the denominator. Slide 18 Unit Rates Samantha picked 45 oranges in 5 minutes. How many oranges did she pick per minute (unit rate). How to find a unit rate. Step 1 Find the rate (fraction). Slide 19 Unit Rates Samantha picked 45 oranges in 5 minutes. How many oranges did she pick per minute (unit rate). Step 1 Find the rate (fraction). 45 oranges 5 minutes Write this down Slide 20 Unit Rates Samantha picked 45 oranges in 5 minutes. How many oranges did she pick per minute (unit rate). Step 2 Divide the fraction by the number in the denominator. 45 oranges 5 minutes Slide 21 Unit Rates Samantha picked 45 oranges in 5 minutes. How many oranges did she pick per minute (unit rate). Step 2 Divide the fraction by the number in the denominator. 45 oranges 5 5 minutes 5 = Slide 22 Unit Rates Samantha picked 45 oranges in 5 minutes. How many oranges did she pick per minute (unit rate). Step 2 Divide the fraction by the number in the denominator. 45 oranges 5 9 oranges 5 minutes 5 = 1 minute Samantha picked 9 oranges per minute. Slide 23 Unit Rates Four potted plants cost $24. What is the price per plant (unit price)? Step 1? Slide 24 Unit Rates Four potted plants cost $24. What is the price per plant (unit price)? Step 1? 24 dollars 4 plants How do we know to put the plant unit in the denominator? Slide 25 Unit Rates Four potted plants cost $24. What is the price per plant (unit price)? Step 1? 24 dollars 4 plants Because we are looking for the price per plant. Slide 26 Unit Rates Four potted plants cost $24. What is the price per plant (unit price)? Step 2? 24 dollars 4 plants Slide 27 Unit Rates Four potted plants cost $24. What is the price per plant (unit price)? 24 dollars 4 4 plants 4 = Slide 28 Unit Rates Four potted plants cost $24. What is the price per plant (unit price)? 24 dollars 4 6 dollars 4 plants 4 = 1 plant 6 dollars per plant. Slide 29 Unit Rates David earned $28 last night working 4 hours. How much did he earn per hour? What is the rate (fraction)? Slide 30 Unit Rates David earned $28 last night working 4 hours. How much did he earn per hour? 28 dollars 4 hours Complete the question. Slide 31 Unit Rates David earned $28 last night working 4 hours. How much did he earn per hour? 28 dollars 4 7 dollars 4 hours 4 = 1 hours David earned 7 dollars per hour. Slide 32 Unit Rates You walked 15 miles in 2 hours last night. How many miles per hour did you walk? What is the rate (fraction)? Slide 33 Unit Rates You walked 15 miles in 2 hours last night. How many miles per hour did you walk? 15 miles 2 hours Complete the question. Slide 34 Unit Rates You walked 15 miles in 2 hours last night. How many miles per hour did you walk? 15 miles 2 7.5 miles 2 hours 2 = 1 hours You walked 7.5 miles per hour. Slide 35 Unit Rates Tom sold 12 books for $9. How much did he make per book? What is the rate (fraction)? Slide 36 Unit Rates Tom sold 12 books for $9. How much did he make per book? 9 dollars 12 books Complete the question. Slide 37 Unit Rates Tom sold 12 books for $9. How much did he make per book? 9 dollars 12.75 dollar 12 books 12 = 1 book He made.75 dollars per book, 75 cents per book. Slide 38 Unit Rates The Australian dragonfly can travel 18 miles in 30 minutes. How far can it travel in 1 minute? What is the rate (fraction)? Slide 39 Unit Rates The Australian dragonfly can travel 18 miles in 30 minutes. How far can it travel in 1 minute? 18 miles 30 minutes Complete the question. Use a calculator if needed. Slide 40 Unit Rates The Australian dragonfly can travel 18 miles in 30 minutes. How far can it travel in 1 minute? 18 30 miles 0.6 miles 1 minute = 1 minute = 0.6 miles per minute Slide 41 Unit Rates The Australian dragonfly can travel 18 miles in 30 minutes. How far can it travel in 1 minute? 18 30 miles 18 1 minute = 30 miles per minute = 3 5 miles per minute Slide 42 Unit Rates Anna downloaded 35 songs in 5 minutes. How many songs does she download per minute? (Do this on your own) Slide 43 Unit Rates Anna downloaded 35 songs in 5 minutes. How many songs does she download per minute? 35 songs 5 7 songs 5 minutes 5 = 1 minute How many songs can she download in 8 minutes? Slide 44 Unit Rates Anna downloaded 35 songs in 5 minutes. How many songs does she download per minute? How many songs can she download in 8 minutes? 7 songs 8 minutes 56 songs 1 minute X = Slide 45 Unit Rates Molly shot 20 baskets in 4 minutes. Nino shot 42 baskets in 6 minutes. Who shot the most baskets per minute? (Do this on your own) Slide 46 Unit Rates Molly shot 20 baskets in 4 minutes. Nino shot 42 baskets in 6 minutes. Who shot the most baskets per minute? MollyNino 20 baskets 442 baskets 6 4 minutes 46 minutes 6 5 baskets7 baskets 1 minute1 minute 5 baskets per minute7 baskets per minute Slide 47 Unit Rates Marcella divided 40.8 gallons of paint among 8 containers. How much paint is in each container? Use a calculator if needed. (Do this on your own) Slide 48 Unit Rates Marcella divided 40.8 gallons of paint among 8 containers. How much paint is in each container? Use a calculator if needed. 40.8 gallons 8 5.1 gallons 8 containers 8 = 1 container 5.1 gallons per container Slide 49 Unit Rates The results of a car race is shown. Determine who drove the fastest lap. Use calculator if needed. (Do this on your own) Slide 50 Unit Rates The results of a car race is shown. Determine who drove the fastest lap. Use calculator if needed. 84 minutes 35 Cutwright 35 laps 35 = 2.4 minutes per lap 96.6 minutes 42 Evans 42 laps 42 = 2.3 minutes per lap 102.6 minutes 38 Loza 38 laps 38 = 2.7 minutes per lap Slide 51 Unit Rate Agenda Notes Homework Lesson 1-3 Homework Practice Due Tuesday, Sept 10 Mid-Chapter Quiz on Thursday, Sept 12 Please Review Mid-Chapter Check on Page 58