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**Proportional and Nonproportional Relationships**

7th Grade Math Lesson Objective: Students will identify proportional and nonproportional relationships.

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**Vocabulary Proportional Nonproportional**

Two quantities that have a constant ratio Example: Nonproportional Two quantities that do NOT have a constant ratio 16 = 16 17 ≠ 20

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**Identifying Proportional Relationships - Tables**

Kudzu is a vine that grows an average of 7.5 feet every 5 days. Is the number of days of growth proportional to the length of the vine as measured on the last day? Length 7.5 15 22.5 30 # of Days 5 10 20 Yes

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**Identifying Proportional Relationships - Tables**

The Vista Marina rents boats for $25 per hour. In addition to the rental fee, there is a $12 charge for fuel. Is the number of hours you can rent the boat proportional to the total cost? Total Cost 37 62 87 112 Hours 1 2 3 4 No

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**Identifying Proportional Relationships – Cross Products**

Ms. Cochran is planning a year-end pizza party for her students. Ace Pizza offers free delivery and charges $8 for each medium pizza. Is the cost of an order proportional to the number of pizzas ordered? 16 = 16 Yes

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**Identifying Proportional Relationships – Cross Products**

Uptown Pizzeria sells medium pizzas for $7 each but charges a $3 delivery fee per order. Is the cost of an order proportional to the number of pizzas ordered? 17 ≠ 20 No

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Proportions. An equation stating that two ratios are equivalent is called a proportion. 200 Miles 4 Hours 50 Miles 1 Hour = An equation stating that two.

Proportions. An equation stating that two ratios are equivalent is called a proportion. 200 Miles 4 Hours 50 Miles 1 Hour = An equation stating that two.

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