Lesson Plan

Determine whether two quantities are in a proportional relationship by testing for equivalent ratios in a table and by graphing on a coordinate plane to check for a straight line through the origin

Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships

Write equations of the form y = kx to represent proportional relationships, and explain what k represents in context

Interpret points on the graph of a proportional relationship in terms of the situation, with particular attention to (0, 0) and (1, r) where r is the unit rate

Move fluently among the four representations of a proportional relationship - table, graph, equation, and verbal description - translating any one into any other

7.RP.A.2

7.RP.A.2: Recognize and represent proportional relationships between quantities. a. Decide whether two quantities are in a proportional relationship, e.g., by testing for equivalent ratios in a table or graphing on a coordinate plane and observing whether the graph is a straight line through the origin. b. Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships. c. Represent proportional relationships by equations. For example, if total cost t is proportional to the number n of items purchased at a constant price p, the relationship between the total cost and the number of items can be expressed as t = pn. d. Explain what a point (x, y) on the graph of a proportional relationship means in terms of the situation, with special attention to the points (0, 0) and (1, r) where r is the unit rate.