1. Unit 5. Day 1.

2. Today’s Lesson Proportion Examples A, B, C, & D.
What Unit 5 is all about (proportions)
Review 5th grade
Review Unit Rate options
Proportion Examples A, B, C, & D.
fraction
decimal

3. (Unit rate & proportionality)
$ 2 1 𝑝𝑒𝑛
$ 𝑥 7 𝑝𝑒𝑛
Unit 3
(Unit rate & proportionality)
Unit 4
(Equations)
$ 𝑝𝑒𝑛
$ 6 3 𝑝𝑒𝑛 =
Proportion

4. 400 𝑠𝑡𝑢𝑑𝑒𝑛𝑡𝑠 25 𝑡𝑒𝑎𝑐ℎ𝑒𝑟 = 32 𝑠𝑡𝑢𝑑𝑒𝑛𝑡𝑠 2 𝑡𝑒𝑎𝑐ℎ𝑒𝑟𝑠
Proportion
400 𝑠𝑡𝑢𝑑𝑒𝑛𝑡𝑠 25 𝑡𝑒𝑎𝑐ℎ𝑒𝑟 = 32 𝑠𝑡𝑢𝑑𝑒𝑛𝑡𝑠 2 𝑡𝑒𝑎𝑐ℎ𝑒𝑟𝑠
$ 2 3 𝑎𝑝𝑝𝑙𝑒𝑠 = $ 𝑥 8 𝑎𝑝𝑝𝑙𝑒𝑠
3 𝑜𝑖𝑙 4 𝑤𝑎𝑡𝑒𝑟 = 9 𝑜𝑖𝑙 12 𝑤𝑎𝑡𝑒𝑟 =
1 2 = 5 10
3 5 = 𝑥 17

6. Today’s Lesson Proportion Examples A, B, C, & D.
What Unit 5 is all about (proportions)
Review 5th grade
Review Unit Rate options
Proportion Examples A, B, C, & D.
fraction
decimal

7. Review 1: Replace each with a number so the fractions are equivalent12 10
5 6 2 = 2

8. Review 2: Replace each with a number so the fractions are equivalent21
7 8 3 = 24 3

10. Today’s Lesson Proportion Examples A, B, C, & D.
What Unit 5 is all about (proportions)
Review 5th grade
Review Unit Rate options
Proportion Examples A, B, C, & D.
fraction
decimal

11. . . Unit Rate Options 8 0.8 $ 4 5 𝑜𝑟𝑎𝑛𝑔𝑒𝑠 $ 1 𝑜𝑟𝑎𝑛𝑔𝑒 0.80 5 4 − 4 0÷5
$ 𝑜𝑟𝑎𝑛𝑔𝑒
0.80 5 4 . −
4 0 ÷5
4 5
$ 4 5 𝑜𝑟𝑎𝑛𝑔𝑒𝑠 ÷5
$ 𝑜𝑟𝑎𝑛𝑔𝑒 ÷5

12. . . Unit Rate Options 0.375 3 7 5 $ 3 8 𝑑𝑜𝑛𝑢𝑡𝑠 $ 1 𝑑𝑜𝑛𝑢𝑡 0.375 8 3 −÷8
$ 𝑑𝑜𝑛𝑢𝑡
0.375 8 3 . −
2 4 ÷8 6 −
5 6 4
3 8
$ 3 8 𝑑𝑜𝑛𝑢𝑡𝑠 ÷8
$ 𝑑𝑜𝑛𝑢𝑡 ÷8

14. Today’s Lesson Proportion Examples A, B, C, & D.
What Unit 5 is all about (proportions)
Review 5th grade
Review Unit Rate options
Proportion Examples A, B, C, & D.
fraction
decimal

15. Example A: Mr. Jordan was able to travel 130 miles on 5 gallons of gas
Example A: Mr. Jordan was able to travel 130 miles on 5 gallons of gas. If he fills his tank (16 gallons), how many miles can he drive?
130 5 ? 16 𝑥 𝑥
𝑚𝑖 𝑔𝑎𝑙 = 𝑚𝑖 𝑔𝑎𝑙
= 𝑚𝑖 𝑔𝑎𝑙 16
130 𝑚𝑖 5 𝑔𝑎𝑙 ÷5
𝑚𝑖 1 𝑔𝑎𝑙 16
416 ÷5 16 2 26 6 . 3 26 5
1 3 0 . 16 − ×
1 0 1 3 1 5 6 − 30 + 2 6 ∎ 4 1 6

16. Watashi wa sūgaku o aishi?
𝐼𝑜 𝑎𝑚𝑜 𝑙𝑎 𝑚𝑎𝑡𝑒𝑚𝑎𝑡𝑖𝑐𝑎
I love math
私は数学と私の妻を愛し
Watashi wa sūgaku o aishi

17. Example A: Mr. Jordan was able to travel 130 miles on 5 gallons of gas
Example A: Mr. Jordan was able to travel 130 miles on 5 gallons of gas. If he fills his tank (16 gallons), how many miles can he drive?
130 𝑚𝑖 5 𝑔𝑎𝑙 = 𝑥 𝑚𝑖 16 𝑔𝑎𝑙
26 𝑚𝑖 1 𝑔𝑎𝑙
416 𝑚𝑖 16 𝑔𝑎𝑙

18. Example B: The city is conducting a traffic count on the street to determine how many cars use the road in a year. 380 cars are counted in four days. How many cars use the road in one month (30 days)?
380 ? 4 30
𝑐𝑎𝑟𝑠 𝑑𝑎𝑦𝑠 = 𝑐𝑎𝑟𝑠 𝑑𝑎𝑦𝑠
= 𝑐𝑎𝑟𝑠 𝑑𝑎𝑦𝑠 𝑥 𝑥 30
380 𝑐𝑎𝑟𝑠 4 𝑑𝑎𝑦𝑠 ÷4
2850
𝑐𝑎𝑟𝑠 1 𝑑𝑎𝑦 30 ÷4 30 . 95 9 5 1 95 4 .
3 8 0 30 × −
3 6 2 − + 2 8 5 ∎
2 0 2 8 5

19. Example C: Mr. Jordan bought four pizzas to feed 10 students
Example C: Mr. Jordan bought four pizzas to feed 10 students. If this is the right amount of pizza, then how much pizza will he need to buy for a class of 24 students? 4 10 ? 24 𝑥
𝑝 𝑠 = 𝑝 𝑠
= 𝑝 𝑠 𝑥 24
9.6
4 𝑝 10 𝑠
÷10 24
𝑝 1 𝑠 24
÷10
0.4 . 4 1
2 4 10 4 .
0.4 × −
4 0 . 9 6

20. Example C: Mr. Jordan bought four pizzas to feed 10 students
Example C: Mr. Jordan bought four pizzas to feed 10 students. If this is the right amount of pizza, then how much pizza will he need to buy for a class of 24 students? 4 10 ? 24
𝑝 𝑠 = 𝑝 𝑠
= 𝑝 𝑠 𝑥 𝑥 24
9 3 5
2 5
4 10
4 𝑝 10 𝑠
÷10 24
𝑝 1 𝑠 24
÷10
2 5
24 1
48 5
9 3 5 ∙ = =

21. Example D: Mr. Jordan grading tests
Example D: Mr. Jordan grading tests. It took him eight minutes to grade seven quizzes. It is now 4:00 pm. His wife want him home by 5:00 pm. If it takes him 25 minutes to get home, how many more quizzes can he finish grading? 8 7 35 ? 𝑥
𝑞𝑢𝑖𝑧 𝑚𝑖𝑛 = 𝑞𝑢𝑖𝑧 𝑚𝑖𝑛
= 𝑞𝑢𝑖𝑧 𝑚𝑖𝑛 𝑥 35
30 5 8
7 8
7 𝑞𝑢𝑖𝑧 8 𝑚𝑖𝑛 ÷8
𝑞𝑢𝑖𝑧 1 𝑚𝑖𝑛 35 ÷8 35
30 5 8
7 8 ∙ 35 1
245 8 = =

22. Example D: Mr. Jordan grading tests
Example D: Mr. Jordan grading tests. It took him eight minutes to grade seven quizzes. It is now 4:00 pm. His wife want him home by 5:00 pm. If it takes him 25 minutes to get home, how many more quizzes can he finish grading? 8 7 35 ?
0.875 . 8 7 5 𝑥
= 𝑞𝑢𝑖𝑧 𝑚𝑖𝑛 8 .
𝑞𝑢𝑖𝑧 𝑚𝑖𝑛 = 𝑞𝑢𝑖𝑧 𝑚𝑖𝑛 𝑥 7 −
6 4 35 6 − 56 4
30.625
7 𝑞𝑢𝑖𝑧 8 𝑚𝑖𝑛 ÷8
𝑞𝑢𝑖𝑧 1 𝑚𝑖𝑛 35 ÷8 35 3 2 2 1
0.875 35 ×
4 3 1 1 7 5 +
2 6 2 5 ∎ 3 . 6 2 5