NY Next Generation Math NY-7.RP.2.d
The Standard
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.
New York State Next Generation Mathematics Learning Standards
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students interpret any point on a proportional graph in the situation’s units. They explain the origin and the point (1, r), where r is the unit rate.
What Mastery Looks Like
- The student explains that (3, 12) means three notebooks cost $12. The student states that (0, 0) represents none and (1, 4) gives $4 per notebook.
Common Misconceptions
- Students may reverse the meanings of x and y. They may describe coordinates without units or treat (1, r) as an arbitrary point.
How to Assess It
- Show a graph where x is notebooks and y is cost in dollars with point (1, 4). Ask students to interpret (0, 0), (1, 4), and (5, 20).
Lesson moves
Ways to Teach It
Plot labeled situation cards on a proportional graph and attach unit descriptions to each point.
Ask students why every proportional graph includes the origin and what that means in context.
Play Point Meaning Match with coordinates and contextual interpretations.
Interpret points on a distance-time graph for travel at a constant speed.
Keep exploring
Related Standards
- NY-7.RP.2.b
Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships.
- NY-8.EE.5
Graph proportional relationships, interpreting the unit rate as the slope of the graph. Compare two different proportional relationships represented in differen...
- NY-7.RP.2.c
Represent a proportional relationship using an equation.
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