NY Next Generation Math NY-7.RP.2

Math7th GradeAnalyze proportional relationships and use them to solve real-world and mathematical problems.

Standard Cluster

Recognize and represent proportional relationships between quantities.

New York State Next Generation Mathematics Learning Standards

Cluster contents

NY-7.RP.2 is a cluster heading. These are the individual standards under it.

Teacher's field guide

What Students Need to Do: Students decide whether two quantities are proportional using tables, graphs, equations, diagrams, or descriptions. They identify the constant of proportionality, write an equation, and explain points on the graph in context.
What Mastery Looks Like: From a table containing (2, 6) and (5, 15), a student identifies a constant of proportionality of 3 and writes y = 3x. The student explains (0, 0) and (1, 3) in the situation.
Common Misconceptions: Students may call any increasing relationship proportional or accept a straight line that does not pass through the origin. They may divide in the wrong order or confuse a coordinate with the unit rate.
How to Assess It: A store charges $4 per notebook, giving the pairs (1, 4), (2, 8), and (5, 20), where x is notebooks and y is dollars. Ask whether the relationship is proportional, then request the constant, equation, and meaning of (1, 4).

Lesson moves

Build equivalent ratios with linking cubes, record the pairs in a table, and graph them to check for a line through the origin.
Ask students why a straight graph with a nonzero vertical intercept does not show a proportional relationship.
Match tables, graphs, equations, and descriptions that share one constant of proportionality, then justify every set.
Compare a per-item price with a taxi fare that includes a starting fee and decide which relationship is proportional.

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