Ratios & Proportional Relationships

Grade 7 Math

3 topics9 lessonsCommon Core Standards

Analyze proportional relationships and use them to solve real-world and mathematical problems. Work with unit rates, proportions, and percent applications.

Unit Rates

Compute unit rates associated with ratios of fractions, including ratios of lengths, areas, and other quantities.

25 minutes3 lessons

Proportional Relationships

Recognize and represent proportional relationships between quantities. Identify the constant of proportionality.

30 minutes3 lessons

Percent Applications

Use proportional relationships to solve multistep ratio and percent problems including simple interest, tax, markups, markdowns, and commission.

30 minutes3 lessons

Standards Alignment

Common Core Standards - Grade 7

7.RP.A.1

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

7.RP.A.2

Recognize and represent proportional relationships between quantities.

7.RP.A.2.A

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.

7.RP.A.2.B

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

7.RP.A.2.C

Represent proportional relationships by equations.

7.RP.A.2.D

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.

7.RP.A.3

Use proportional relationships to solve multistep ratio and percent problems.