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# Proportional and Nonproportional Relationships

7 th Grade Math Lesson Objective: Students will identify proportional and nonproportional relationships. Proportional and Nonproportional Relationships. Vocabulary. Proportional Two quantities that have a constant ratio Example: Nonproportional

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## Proportional and Nonproportional Relationships

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1. 7th Grade Math Lesson Objective: Students will identify proportional and nonproportional relationships. Proportional and Nonproportional Relationships

2. Vocabulary • Proportional • Two quantities that have a constant ratio • Example: • Nonproportional • Two quantities that do NOT have a constant ratio • Example: 16 = 16 17 ≠20

3. 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? Yes

4. 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? No

5. 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

6. 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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