5 Minute Check Find the following. Complete in your notes. GCF 1. 45, 75 2. 12, 30 LCM 3. 8, 9 4. 12, 15

Find the following. Complete in your notes. GCF 1. 45, 75 5 Minute Check Find the following. Complete in your notes. GCF 1. 45, 75

5 Minute Check Find the following. Complete in your notes. GCF 1. 45, 75 45: 1, 3, 5, 9, 15, 45 75: 1, 3, 5, 15, 25, 75 GCF = 3 x 5 = 15 45 75 / \ / \ 15 3 25 / \ / \ 3 5 5 5

Find the following. Complete in your notes. GCF 2. 12, 30 5 Minute Check Find the following. Complete in your notes. GCF 2. 12, 30

5 Minute Check Find the following. Complete in your notes. GCF 2. 12, 30 12: 1, 2,3, 4,6,12 30, 1, 2, 3, 5, 6, 10, 15, 30 GCF = 6 12 30 / \ / \ 2 6 2 15 l / \ l / \ 2 2 3 2 3 5

Find the following. Complete in your notes. LCM 3. 8, 9 5 Minute Check Find the following. Complete in your notes. LCM 3. 8, 9

5 Minute Check Find the following. Complete in your notes. LCM 3. 8, 9 Mr. Avery’s rule – if the numbers are next to each other, the LCM is the product of those numbers. LCM = 8 x 9 = 72

Find the following. Complete in your notes. LCM 4. 12, 15 5 Minute Check Find the following. Complete in your notes. LCM 4. 12, 15

5 Minute Check Find the following. Complete in your notes. LCM 4. 12, 15 12: 12, 24, 36, 48, 60, 72, 84….. 15: 15, 30, 45, 60, 75…….

Ratio

Thursday, Dec 10 Chapter 1 Review

Chapter 1 Review Objective: To understand ratios, ratio tables and unit rates.

Chapter 1 Review 1. The ratio of cats to dogs seen by a veterinarian in one day is 2 to 5. If a vet saw 40 dogs in one day, how many cats did he see?

Chapter 1 Review 1. The ratio of cats to dogs seen by a veterinarian in one day is 2 to 5. If a vet saw 40 dogs in one day, how many cats did he see? Method 1 5 dogs 40 dogs 2 cats = ? cat

Chapter 1 Review 1. The ratio of cats to dogs seen by a veterinarian in one day is 2 to 5. If a vet saw 40 dogs in one day, how many cats did he see? Method 2 2 cats x cats 5 dogs = 40 dogs 2 x 40 ÷ 5 = 16 cats

Chapter 1 Review 2. A car jack requires a force of 110 pounds to lift a 2,500-pound car. In simplest form, what is the ratio of the car’s weight to the force required to lift the car?

𝐶𝑎 𝑟 ′ 𝑠 𝑤𝑒𝑖𝑔ℎ𝑡 𝐿𝑖𝑓𝑡 2,500 𝑙𝑏𝑠 110 𝑙𝑏𝑠 = 250 11 = 250:11 Chapter 1 Review 2. A car jack requires a force of 110 pounds to lift a 2,500-pound car. In simplest form, what is the ratio of the car’s weight to the force required to lift the car? 𝐶𝑎 𝑟 ′ 𝑠 𝑤𝑒𝑖𝑔ℎ𝑡 𝐿𝑖𝑓𝑡 2,500 𝑙𝑏𝑠 110 𝑙𝑏𝑠 = 250 11 = 250:11 Since this is a ratio, this is simplest form.

Chapter 1 Review 3. A baker is making an oversized sheet cake for a school dance. The recipe calls for 2 cups of sugar for every 3 cups of flour. How many cups of flour are needed, if she is using 18 cups of sugar.

Chapter 1 Review 3. A baker is making an oversized sheet cake for a school dance. The recipe calls for 2 cups of sugar for every 3 cups of flour. How many cups of flour are needed, if she is using 18 cups of sugar. OR sugar 2 4 6 8 10 12 14 16 18 flour 3 9 15 21 24 27

3 cups flour = x cups flour 3 x 18 ÷ 2 = 27 cups flour Chapter 1 Review 3. A baker is making an oversized sheet cake for a school dance. The recipe calls for 2 cups of sugar for every 3 cups of flour. How many cups of flour are needed, if she is using 18 cups of sugar. 2 cups sugar 18 cups sugar 3 cups flour = x cups flour 3 x 18 ÷ 2 = 27 cups flour

Chapter 1 Review 4. Which rate gives the best price for scrapbook paper?

Chapter 1 Review 4. Which rate gives the best price for scrapbook paper? 10 sheets 5 sheets $2 = $1 6 sheets 10 sheets $.60 = $1 5 sheets $1 3 sheets 5 sheets

Chapter 1 Review 5. Which of the following ratios is equivalent to 5 7 ?   A. 10 12 B. 3 5 C. 15 17 D. 10 14

Fractions are equivalent if they simplify to the same fraction. Chapter 1 Review 5. Which of the following ratios is equivalent to 5 7 ?   A. 10 12 = 5 6 B. 3 5 C. 15 17 D. 10 14 = 5 7 Fractions are equivalent if they simplify to the same fraction.

Chapter 1 Review 6. The table shows the cups of whole wheat flour required to make dog biscuits. How many cups of whole wheat flour are required to make 35 biscuits?

Chapter 1 Review 6. The table shows the cups of whole wheat flour required to make dog biscuits. How many cups of whole wheat flour are required to make 35 biscuits? OR ÷ 2 X 7 5 1 7

Chapter 1 Review 6. The table shows the cups of whole wheat flour required to make dog biscuits. How many cups of whole wheat flour are required to make 35 biscuits? 10 biscuits 35 biscuits 2 cups flour = x cups flour 2 x 35 ÷ 10 = 7 cups

Chapter 1 Review 7. There are 12 boys and 15 girls in your class. Four new students, 3 boys and 1 girl, join your class. Compare the ratio of boys to girls before and after the new students enrolled.

Chapter 1 Review 7. There are 12 boys and 15 girls in your class. Four new students, 3 boys and 1 girl, join your class. Compare the ratio of boys to girls before and after the new students enrolled. before Boys 12 4 Girls 15 = 5 after Boys 15 Girls 16 The ratio did not stay the same because they cannot be simplified to the same ratio.

Chapter 1 Review 8. You finished 24 homework problems in class. If the ratio of finished to unfinished problems is 3:1, how many homework problems are there?

3 𝑓𝑖𝑛𝑖𝑠ℎ𝑒𝑑 1 𝑢𝑛𝑓𝑖𝑛𝑖𝑠ℎ𝑒𝑑 = 24 𝑓𝑖𝑛𝑖𝑠ℎ𝑒𝑑 ? 𝑢𝑛𝑓𝑖𝑛𝑖𝑠ℎ𝑒𝑑 Chapter 1 Review 8. You finished 24 homework problems in class. If the ratio of finished to unfinished problems is 3:1, how many homework problems are there? 3 𝑓𝑖𝑛𝑖𝑠ℎ𝑒𝑑 1 𝑢𝑛𝑓𝑖𝑛𝑖𝑠ℎ𝑒𝑑 = 24 𝑓𝑖𝑛𝑖𝑠ℎ𝑒𝑑 ? 𝑢𝑛𝑓𝑖𝑛𝑖𝑠ℎ𝑒𝑑 8 unfinished + 24 finished = 32 total problems X 8 X 8

Chapter 1 Review 9.Mr. Reinard bought 5 pounds of feed for his chickens for $10. How much did the feed cost per pound in dollars?

Chapter 1 Review 9.Mr. Reinard bought 5 pounds of feed for his chickens for $10. How much did the feed cost per pound in dollars? $10 $ x 5 lbs feed = 1 lb feed 10 x 1 ÷ 5 = $2 per lb feed

Chapter 1 Review 10. The length of a lap around a football field is 1 4 mile. How many miles do you walk if you walk 2 3 4 laps around the track?

Chapter 1 Review 10. The length of a lap around a football field is 1 4 mile. How many miles do you walk if you walk 2 3 4 laps around the track? 1 lap 2 3 4 laps 1 4 mile = ? miles 1 4 x 2 3 4 ÷ 1 = 11 16 miles 1 4 x 11 4 = 11 16 miles

Chapter 1 Review 11. The bar graph below shows the average number of visitors to different websites during one month. How many visitors can website B expect to have in one year?

Chapter 1 Review 11. The bar graph below shows the average number of visitors to different websites during one month. How many visitors can website B expect to have in one year? 2 million visitors x million visitors 1 month = 12 months 2 x 12 ÷ 1 = 24 million visitors

Chapter 1 Review 12. Mike has 40 video games and wants to divide them in two groups with the ratio of 3:1. Determine the number of video games in each group.

Chapter 1 Review 12. Mike has 40 video games and wants to divide them in two groups with the ratio of 3:1. Determine the number of video games in each group. One group is going to be 3 times the other and they both add to 40. 3 x some number + some number = 40

Chapter 1 Review 12. Mike has 40 video games and wants to divide them in two groups with the ratio of 3:1. Determine the number of video games in each group. 30:10 OR 40 games 10 games 10 games 10 games 10 games

Chapter 1 Review 12. Mike has 40 video games and wants to divide them in two groups with the ratio of 3:1. Determine the number of video games in each group. 30:10 3 6 9 12 15 18 21 24 27 30 1 2 4 5 7 8 10 16 20 28 32 36 40

Chapter 1 Review 13. You survey your first period class and out of 25 students, 10 prefer bagels for breakfast. If there are 300 students in the 6th grade, how many students can be expected to prefer bagels for breakfast?

Chapter 1 Review 13. You survey your first period class and out of 25 students, 10 prefer bagels for breakfast. If there are 300 students in the 6th grade, how many students can be expected to prefer bagels for breakfast? 10 bagels ? bagels 25 total = 300 total 2 x 300 ÷ 5 = 120 students 2 x 5 5 x 5

Chapter 1 Review 14. Cesar’s sixth-grade class sorted books in the library. The class sorted 45 books in 90 minutes. Part A Write an equivalent ratio to find how long it would take to sort 120 books. Part B How many hours will it take the class to sort 120 books? Part C Suppose their rate slowed to 30 books in 90 minutes. How long would it take the class to sort the 120 books?

Chapter 1 Review 14. Cesar’s sixth-grade class sorted books in the library. The class sorted 45 books in 90 minutes. Part A Write an equivalent ratio to find how long it would take to sort 120 books. 45 books 120 books 90 minutes = x minutes 2 x 120 ÷ 1 = 240 minutes 1 2

Chapter 1 Review 14. Cesar’s sixth-grade class sorted books in the library. The class sorted 45 books in 90 minutes. Part B How many hours will it take the class to sort 120 books?

Chapter 1 Review 14. Cesar’s sixth-grade class sorted books in the library. The class sorted 45 books in 90 minutes. Part B How many hours will it take the class to sort 120 books? 1 hour x hours 60 minutes = 240 minutes 1 x 240 ÷ 60 = 4 hours

Chapter 1 Review 14. Cesar’s sixth-grade class sorted books in the library. The class sorted 45 books in 90 minutes. Part C Suppose their rate slowed to 30 books in 90 minutes. How long would it take the class to sort the 120 books?

Chapter 1 Review 14. Cesar’s sixth-grade class sorted books in the library. The class sorted 45 books in 90 minutes. Part C Suppose their rate slowed to 30 books in 90 minutes. How long would it take the class to sort the 120 books? 30 books 120 books 90 minutes = x minutes 3 x 120 ÷ 1 = 360 minutes 1 3

Chapter 1 Review Agenda Notes CH 1 In-Class assignment Bring to desk when complete Homework Practice CH 1 Review Due Friday, December 11 Semester Exam Thursday, Dec 17