7.PFA.1

The student will investigate and analyze proportional relationships between two quantities using verbal descriptions, tables, equations in 𝑦 = 𝑚𝑥 form, and graphs, including problems in context.

7.PFA.1.aDetermine the slope, 𝑚, as the rate of change in a proportional relationship between two quantities given a table of values, graph, or contextual situation and write an equation in the form 𝑦 = 𝑚𝑥 to represent the direct variation relationship. Slope may include positive or negative values (slope will be limited to positive values in a contextual situation).7.PFA.1.bIdentify and describe a line with a slope that is positive, negative, or zero (0), given a graph.7.PFA.1.cGraph a line representing a proportional relationship, between two quantities given an ordered pair on the line and the slope, 𝑚, as rate of change. Slope may include positive or negative values.7.PFA.1.dGraph a line representing a proportional relationship between two quantities given the equation of the line in the form 𝑦 = 𝑚𝑥, where 𝑚 represents the slope as rate of change. Slope may include positive or negative values.7.PFA.1.eMake connections between and among representations of a proportional relationship between two quantities using problems in context, tables, equations, and graphs. Slope may include positive or negative values (slope will be limited to positive values in a contextual situation).
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