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

Math7th GradeRecognize and represent proportional relationships between quantities.

The Standard

Represent a proportional relationship using an equation.

New York State Next Generation Mathematics Learning Standards

Teacher's field guide

What Students Need to Do: Students represent a proportional relationship with an equation. They identify the constant of proportionality and write the dependent quantity as that constant times the independent quantity.
What Mastery Looks Like: The student writes y = 2.5x for a cost of $2.50 per item. The equation matches the units, table, graph, or description provided.
Common Misconceptions: Students may add the constant instead of multiplying by it. They may include a nonzero starting amount even though a proportional relationship passes through the origin.
How to Assess It: Tell students that each pound of fruit costs $3.20. Ask them to define variables, write a proportional equation, and use it for 4 pounds.

Lesson moves

Use cups and counters to build proportional pairs, then write an equation for the repeating scale factor.
Ask students why y = 4x + 2 does not represent a proportional relationship.
Play Equation Match with proportional tables, graphs, and verbal descriptions.
Write an equation relating hours worked to pay at a constant hourly rate.

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