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

2. 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

3. 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
/ \ / \
/ \ / \

4. 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. 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
/ \ / \
l / \ l / \

6. 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

7. 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

8. 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

9. 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…….

10. Ratio

11. Thursday, Dec 10
Chapter 1 Review

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

13. 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?

14. 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

15. 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

16. 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?

17. 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 ,500 𝑙𝑏𝑠 110 𝑙𝑏𝑠 = = 250:11
Since this is a ratio, this is simplest form.

18. 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.

19. 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

20. 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 cups sugar
3 cups flour = x cups flour
3 x 18 ÷ 2 = 27 cups flour

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

22. 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

23. Chapter 1 Review
5. Which of the following ratios is equivalent to ? A B C D

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

25. 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?

26. 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

27. 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

28. 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.

29. 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.

30. 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?

31. 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

32. 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?

33. 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

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

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

36. 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?

37. 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

38. 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.

39. 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 x some number + some number = 40

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

41. 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

42. 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?

43. 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

44. 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?

45. 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

46. 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?

47. 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

48. 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?

49. 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

50. 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