NY Next Generation Math NY-7.RP.2.a

Math7th GradeRecognize and represent proportional relationships between quantities.

The Standard

Decide whether two quantities are in a proportional relationship.

New York State Next Generation Mathematics Learning Standards

Teacher's field guide

What Students Need to Do: Students decide whether two quantities have a proportional relationship. They test for equivalent ratios in a table or check whether a graph is a straight line through the origin.
What Mastery Looks Like: The student identifies a table with a constant y-to-x ratio as proportional and explains the constant relationship. The student rejects a straight-line graph that does not pass through the origin.
Common Misconceptions: Students may call any increasing relationship proportional or accept any straight line. They may compare additive differences instead of multiplicative ratios.
How to Assess It: Give the pairs (1, 4), (2, 8), and (5, 20), then add (6, 25). Ask whether all pairs form a proportional relationship and why.

Lesson moves

Build ratio tables with linking-cube groups and test whether every row scales from the same unit pair.
Ask students why a straight line must pass through the origin to represent a proportional relationship.
Play proportional-or-not sort with tables, graphs, and verbal relationships requiring written evidence.
Test whether cost, distance, or recipe quantities stay proportional as the input changes.

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