7th Grade Math Lesson Objective: Students will identify proportional and nonproportional relationships. Vocabulary Proportional Two quantities that have a constant ratio Example: 8 16 16 = 16 1 2 Nonproportional Two quantities that do NOT have a constant ratio Example: 10 17 17 ≠ 20 1 2 Identifying Proportional Relationships 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? cost of order # of pizzas 8 1 16 2 16 = 16 Yes Identifying Proportional Relationships 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? cost of order 10 # of pizzas 1 17 2 17 ≠ 20 No Identifying Proportional Relationships At the beginning of the school year, Isabel had $120 in the bank. Each week, she deposits another $20. Is her account balance proportional to the number of weeks since she started school? account balance 120 140 week of school 1 2 140≠ 240 No Identifying Proportional Relationships A recipe for jelly frosting calls for 1/3 cup of jelly and 1 egg white. Is the number of egg whites used proportional to the cups of jelly used? # of egg whites cups of jelly 1 2 2/3= 2/3 1 3 2 3 Yes