FiveMinute Check over Lesson 6 2 Main Idea

Five-Minute Check (over Lesson 6– 2) Main Idea and Vocabulary Key Concept: Proportion Example 1: Use Unit Rates Example 2: Use Unit Rates Example 3: Use Unit Rates Example 4: Use Equivalent Fractions Example 5: Use Equivalent Fractions

• Determine if two ratios are proportional. • proportional • proportion

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

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, .

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, . 1. 2. 3. 4. A B C D

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

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

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, . . . 1. 2. 3. 4. A B C D

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.

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, 1. 2. 3. 4. A B C D

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. ? × 2 The numerator and the denominator are not multiplied by the same number. So, the fractions are not equivalent.

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

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; 1. 2. 3. 4. A B C D

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 ÷ 2 ? ÷ 2 The numerator and the denominator are divided by the same number. So, the fractions are equivalent.

Use Equivalent Fractions Answer: Yes; Since fractions are equivalent; , the

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. 1. 2. 3. 4. A B C D

End of the Lesson

Five-Minute Check (over Lesson 6– 2) Image Bank Math Tools Ratios and Tangrams Ratios

(over Lesson 6 -2) 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. D. $36 $32 1. 2. 3. 4. 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 1. 2. 3. 4. 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 1. 2. 3. 4. A B C D