The Printable ShelfFree pack

CCSS 7.RP.A.2d · meaning of (x, y)

Interpret Points on Proportional Relationship Graphs

Practice what coordinates mean in context, including the two special points emphasized by the standard: the origin and the point whose x-coordinate is 1. A highlighted point keeps the task interpretive rather than computational guessing.

Live worksheet preview

Interpret Proportional Graph Points

Interpret graph points · Grade 7 standard · Seed 261601

1.

The graph shows pages read, where x = minutes and y = pages. Explain what the highlighted point (0, 0) means.

minutespages540
Read the x-unit and y-unit before explaining the highlighted point.
2.

The graph shows distance traveled, where x = hours and y = miles. Explain what the highlighted point (2, 16) means.

hoursmiles540
Read the x-unit and y-unit before explaining the highlighted point.
3.

The graph shows pages read, where x = minutes and y = pages. Explain what the highlighted point (2, 12) means.

minutespages530
Read the x-unit and y-unit before explaining the highlighted point.
4.

The graph shows distance traveled, where x = hours and y = miles. Explain what the highlighted point (1, 4) means.

hoursmiles520
Read the x-unit and y-unit before explaining the highlighted point.
5.

The graph shows distance traveled, where x = hours and y = miles. Explain what the highlighted point (1, 6) means.

hoursmiles530
Read the x-unit and y-unit before explaining the highlighted point.
6.

The graph shows distance traveled, where x = hours and y = miles. Explain what the highlighted point (4, 8) means.

hoursmiles510
Read the x-unit and y-unit before explaining the highlighted point.
7.

The graph shows total cost, where x = items and y = dollars. Explain what the highlighted point (4, 24) means.

itemsdollars530
Read the x-unit and y-unit before explaining the highlighted point.
8.

The graph shows distance traveled, where x = hours and y = miles. Explain what the highlighted point (0, 0) means.

hoursmiles515
Read the x-unit and y-unit before explaining the highlighted point.
9.

The graph shows distance traveled, where x = hours and y = miles. Explain what the highlighted point (4, 20) means.

hoursmiles525
Read the x-unit and y-unit before explaining the highlighted point.
10.

The graph shows total cost, where x = items and y = dollars. Explain what the highlighted point (4, 16) means.

itemsdollars520
Read the x-unit and y-unit before explaining the highlighted point.
Exact-construction rule: fraction unit rates stay rational, graph coordinates come from known equations, and money applications use integer cents. No answer key depends on a hidden rounding convention.
Teaching note 1

Read the x-coordinate first using the x-axis unit, then connect it to the y-coordinate and y-axis unit.

Teaching note 2

The origin means zero of the input quantity corresponds to zero of the output quantity.

Teaching note 3

The point (1, r) names the unit rate directly.

Continue the 7.RP progression

Move to another Grade 7 representation or application

Open Grade 7 RP hub →

More skills in this set

Frequently asked questions

Does every problem ask for the unit rate?

No. Problems rotate among the origin, the unit-rate point, and general points on the relationship.

Why include context labels?

The standard asks students to explain what a point means in the situation, not only state its coordinates.