MA19.7.2

Mathematics (2019) Grade(s): 7

Students know:

(2a) how to explain whether a relationship is proportional.
(2b) that the constant of proportionality is the same as a unit rate. Students know:
- where the constant of proportionality can be found in a table, graph, equation or diagram.
- (2c) that the constant of proportionality or unit rate can be found on a graph of a proportional relationship where the input value or x-coordinate is 1.

Students are able to:

(2a) determine if a proportional relationship exists when given a table of equivalent ratios or a graph of the relationship in the coordinate plane.
(2b) identify the constant of proportionality and express the proportional relationship using a variety of representations including tables, graphs, equations, diagrams, and verbal descriptions.
(2c) model a proportional relationship using coordinate graphing.
Explain the meaning of the point (1, r), where r is the unit rate or constant of proportionality.

Students understand that:

(2a) A proportional relationship requires equivalent ratios between quantities. Students understand how to decide whether two quantities are proportional.
(2b) The constant of proportionality is the unit rate. Students are able to identify the constant of proportionality for a proportional relationship and explain its meaning in a real-world context. (2c) The context of a problem can help them interpret a point on a graph of a proportional relationship.