Identify the constant of proportionality by writing an equation in the form y=mx

Identify the constant of proportionality by writing an equation in the form y=mx

In this lesson you will learn how to identify the constant of proportionality in verbal descriptions of proportional relationships by writing an equation of the form y = mx and solving for m.

ADDITIONAL MATERIALS

STANDARDS

CCSS.7.RP.A.2.b Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships.

TEKS.8.4.B graph proportional relationships, interpreting the unit rate as the slope of the line that models the relationship; and

TEKS.7.4.C determine the constant of proportionality (𝑘 = 𝑦/𝑥) within mathematical and real-world problems;

TEKS.7.4.B calculate unit rates from rates in mathematical and real-world problems;

TEKS.A1.2.D write and solve equations involving direct variation;

IN.7.AF.7 Identify the unit rate or constant of proportionality in tables, graphs, equations, and verbal descriptions of proportional relationships.

VA.S.AII.10 The student will represent and solve problems, including practical problems, involving inverse variation, joint variation, and a combination of direct and inverse variations.

VA.CE.7.2 The student will solve practical problems involving operations with rational numbers.

VA.PFA.8.16.b identify the slope and y-intercept of a linear function, given a table of values, a graph, or an equation in y = mx + b form;

VA.PFA.7.10.e make connections between and among representations of a proportional or additive relationship between two quantities using verbal descriptions, tables, equations, and graphs.

VA.EI.A.6.a determine the slope of a line when given an equation of the line, the graph of the line, or two points on the line;

VA.CE.8.4 The student will solve practical problems involving consumer applications.

VA.CE.7.3 The student will solve single-step and multistep practical problems, using proportional reasoning.