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Determine if Two Ratios are Proportional - Use Unit Rates

Learn how to determine if two ratios are proportional by using unit rates. Practice with examples and explain your reasoning.

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Determine if Two Ratios are Proportional - Use Unit Rates

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  1. Proportion Review Splash Screen

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

  3. KC 1

  4. ÷5 ÷12 ÷5 ÷12 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. Example 1

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

  6. A B C D 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, . Determine if the quantities in the pair of rates are proportional. Explain your reasoning. 18 cookies for $6; 24 cookies for $8 Example 1

  7. ÷7 ÷8 ÷7 ÷8 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 Example 2

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

  9. A B C D 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, . Determine if the quantities in the pair of ratios are proportional. Explain your reasoning. 16 students with 8 teachers; 30 students with 10 teachers Example 2

  10. ÷3 ÷5 ÷3 ÷5 Answer:Yes; since the unit rates are the same, the rates are proportional. Use Unit Rates FOODYou 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. Example 3

  11. A B C D 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, 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. Example 3

  12. ? ×2 Use Equivalent Fractions 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. The numerator and the denominator are not multiplied by the same number. So, the fractions are not equivalent. Example 4

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

  14. A B C D A.No; B.Yes; C.Yes; D.Yes; 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 Example 4

  15. ÷2 ? ÷2 Use Equivalent Fractions 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. Example 5

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

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

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

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

  20. A B C D (over Lesson 6-2) 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? A. 3 B. 4 C. 5 D. 6 Five Minute Check 3

  21. End of the Lesson End of the Lesson

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