• MAFS.7.RP.1.1

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.

 

• MAFS.7.RP.1.2

Recognize and represent proportional relationships between quantities.

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.

• Identify the constant of proportionality (unit rate) in tables, graphs,

  equations, diagrams, and verbal descriptions of proportional

  relationships.

• 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.

• 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.

 

 

• MAFS.7.RP.1.3

Use proportional relationships to solve multistep ratio and percent problems.

Examples: simple interest, tax, markups and markdowns, gratuities and commissions, fees, percent increase and decrease, percent error.