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.