1. Splash Screen Proportion Review

2. Main Idea/Vocabulary proportional proportion Determine if two ratios are proportional.

3. KC 1

4. Example 1 Use Unit Rates Determine if the quantities in the pair of rates are proportional. Explain your reasoning and express the proportional relationship as a proportion. 20 rolls for $5; 48 rolls for $12 Write each rate as a fraction. Then find its unit rate. ÷5 ÷12

5. Example 1 Use Unit Rates Answer: Since the rates have the same unit rate, they are equivalent. The cost is proportional to the number of rolls. So,.

6. 1.A 2.B 3.C 4.D Example 1 Determine if the quantities in the pair of rates are proportional. Explain your reasoning. 18 cookies for $6; 24 cookies for $8 A.No; the rates are not proportional. B.Yes; the unit rates are the same,. C.Yes; the unit rates are the same,. D.Yes; the unit rates are the same,.

7. Example 2 Use Unit Rates Determine if the quantities in the pair of ratios are proportional. Explain your reasoning and express the proportional relationship as a proportion. 42 people on 7 teams; 64 people on 8 teams ÷7 ÷8

8. Example 2 Use Unit Rates Answer: The number of people is not proportional to the number of teams.

9. 1.A 2.B 3.C 4.D Example 2 Determine if the quantities in the pair of ratios are proportional. Explain your reasoning. 16 students with 8 teachers; 30 students with 10 teachers A.No; the ratios are not proportional. B.Yes; the ratios are proportional,. C.Yes; the ratio are proportional,. D.Yes; the ratios are proportional,.

10. Example 3 Use Unit Rates FOOD You can buy 3 medium pizzas at The Pizza Place for $18 or 5 medium pizzas for $30. Are these selling rates proportional? Explain your reasoning. ÷3 ÷5 Answer: Yes; since the unit rates are the same, the rates are proportional.

11. 1.A 2.B 3.C 4.D Example 3 FOOD At a farmer’s market, one farmer is selling 6 pumpkins for $12. Another farmer is selling his pumpkins 10 for $20. Are these selling rates proportional? Explain your reasoning. A.No; the ratios are not proportional. B.Yes; the unit rates are the same, C.Yes; the unit rates are the same, D.Yes; the unit rates are the same,

12. Example 4 Determine if the quantities in the pair of rates are proportional. Explain your reasoning and express the proportional relationship as a proportion. 5 laps swum in 8 minutes; 11 laps swum in 16 minutes Write each ratio as a fraction. Use Equivalent Fractions The numerator and the denominator are not multiplied by the same number. So, the fractions are not equivalent. ×2 ×2 ?

13. Example 4 Answer: No; Since the rates are not proportional. Use Equivalent Fractions

14. 1.A 2.B 3.C 4.D Example 4 Determine if the quantities in the pair of rates are proportional. Explain your reasoning. 2 classes taken in 5 hours, 8 classes in 15 hours A.No; B.Yes; C.Yes; D.Yes;

15. Example 5 Determine if the quantities in the pair of ratios are proportional. Explain your reasoning and express each proportional relationship as a proportion. 8 corrals with 56 horses; 4 corrals with 28 horses The numerator and the denominator are divided by the same number. So, the fractions are equivalent. Use Equivalent Fractions ÷2 ÷2 ÷2 ?

16. Example 5 Use Equivalent Fractions Answer: Yes; Since, the fractions are equivalent;

17. 1.A 2.B 3.C 4.D Example 5 Determine if the quantities in the pair of ratios are proportional. Explain your reasoning. 10 cages with 25 birds, 2 cages with 5 birds A. B. C. D.

18. 1.A 2.B 3.C 4.D Five Minute Check 1 A.$24B. $30 C. $32 D. $36 MONEY Admission to a local art museum is $8 for each adult. How much does it cost for 4 adults to attend the museum?

19. 1.A 2.B 3.C 4.D Five Minute Check 2 A.10 minB.15 min C.20 minD.30 min EXERCISE Kim can run 8 miles in 60 minutes. At this rate, how long will it take her to run 2 miles? (over Lesson 6-2)

20. 1.A 2.B 3.C 4.D Five Minute Check 3 A.3B.4 C.5D.6 Two pounds of ground beef will make 12 cups of chili. How many pounds of ground beef will Rashad need if he wants to make 18 cups of chili? (over Lesson 6-2)

21. End of the Lesson