Display all possibilities in a proportional relationship by graphing

Display all possibilities in a proportional relationship by graphing

In this lesson you will learn to display all the possibilities in a proportional relationship by graphing.

ADDITIONAL MATERIALS

STANDARDS

CCSS.8.EE.B.5 Graph proportional relationships, interpreting the unit rate as the slope of the graph. Compare two different proportional relationships represented in different ways. For example, compare a distance-time graph to a distance-time equation to determine which of two moving objects has greater speed.

TEKS.A1.3.C graph linear functions on the coordinate plane and identify key features, including x-intercept, y-intercept, zeros, and slope, in mathematical and real-world problems;

TEKS.8.5.A represent linear proportional situations with tables, graphs, and equations in the form of 𝑦= 𝑘𝑥;

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

VA.PFA.6.12.a represent a proportional relationship between two quantities, including those arising from practical situations;

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.S.A.8 The student, given a data set or practical situation, will analyze a relation to determine whether a direct or inverse variation exists, and represent a direct variation algebraically and graphically and an inverse variation algebraically.

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.PFA.6.12.d make connections between and among representations of a proportional relationship between two quantities using verbal descriptions, ratio tables, and graphs.

VA.PFA.8.16.e make connections between and among representations of a linear function using verbal descriptions, tables, equations, and graphs.

VA.F.A.7.f connections between and among multiple representations of functions using verbal descriptions, tables, equations, and graphs.

FL.MAFS.8.EE.2.5 Graph proportional relationships, interpreting the unit rate as the slope of the graph. Compare two different proportional relationships represented in different ways. For example, compare a distance-time graph to a distance-time equation to determine which of two moving objects has greater speed.