Cartesian Coordinate Hop – Find the Location

Mat: Cartesian Coordinate Hop

Grade Guidance: Grade 5; negative-coordinate examples are a Grade 6 extension.

Focus: Plot and identify ordered pairs using nonnegative coordinates.

Connected Standards: NY-5.G.1.

Try the Activity:

1. Prepare cards with whole-number coordinates from 0 to 10, such as (2, 5), (5, 2), (0, 4), and (6, 0). Locate the origin (0, 0).
2. Draw a card and read x first, then y. From the origin, move x units horizontally and y units vertically.
3. Mark or point to the grid-line intersection and ask a partner to check it.
4. Record the ordered pair on a paper grid. Return to the origin before plotting the next card.

Worked Example: For (2, 5), move 2 units right and 5 units up. For (5, 2), move 5 right and 2 up; the reversed coordinates locate a different point.

Quick Check: Where is (0, 4)? On the y-axis, 4 units above the origin, because there is no horizontal movement.

Adapt: Use a small first-quadrant paper grid and a marker. Extend to negative coordinates only after teaching their directions and signs; keep that separate from the Grade 5 task.

Reflect: Choose a classroom use: introduction, guided practice, station, intervention, or review. Note what students should explain before they work independently.