Analyze proportional relationships and use them to model and solve real-world and mathematical problems.

Standard:

Math.7.RP.1 or 7.RP.A.1

Description:

Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units. For example, if a person walks 1/2 mile in each 1/4 hour, compute the unit rate as the complex fraction ^{1/2}/_{1/4} miles per hour, equivalently 2 miles per hour.

Standard:

M07.A-R.1.1.1

Description:

Compute unit rates associated with ratios of fractions, including ratios of lengths, areas, and other quantities measured in like or different units.

Standard:

M07.A-R.1.1.2

Description:

Determine whether two quantities are proportionally related (e.g., by testing for equivalent ratios in a table, graphing on a coordinate plane and observing whether the graph is a straight line through the origin).

Standard:

Math.7.RP.2a or 7.RP.A.2.A

Description:

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.

Standard:

Math.7.RP.2b or 7.RP.A.2.B

Description:

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

Standard:

M07.A-R.1.1.3

Description:

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

Standard:

M07.A-R.1.1.4

Description:

Represent proportional relationships by equations.

Standard:

Math.7.RP.2c or 7.RP.A.2.C

Description:

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.

Standard:

Math.7.RP.2d or 7.RP.A.2.D

Description:

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.

Standard:

M07.A-R.1.1.5

Description:

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.

Standard:

MA.7.AR.4.1

Description:

Determine whether two quantities have a proportional relationship by examining a table, graph or written description.

Standard:

MA.7.AR.4.2

Description:

Determine the constant of proportionality within a mathematical or real-world context given a table, graph or written description of a proportional relationship.

Standard:

MA.7.AR.4.3

Description:

Given a mathematical or real-world context, graph proportional relationships from a table, equation or a written description.

Standard:

MA.7.AR.4.4

Description:

Given any representation of a proportional relationship, translate the representation to a written description, table or equation.