Math · Algebraic Thinking

The Coordinate Plane

Cross a horizontal X-axis with a vertical Y-axis and you build a grid — then an ordered pair (x, y) gives directions to any exact point.
🗺️Build the Grid
I II III IV x y (0,0)
The X-axis runs left ↔ right (horizontal).
The Y-axis runs up ↕ down (vertical).
They cross at the Origin (0,0) — the center.
The cross splits the plane into 4 quadrants.
📍Plot a Point — Run, then Jump!
123 135 (3, 5) run 3 → ↑ jump 5
1RUN on the X-axis first. The x-coordinate is 3, so go right 3.
2JUMP on the Y-axis next. The y-coordinate is 5, so go up 5.
3PLOT your dot. That spot is the ordered pair (35). 🎯
🔀Order Matters! (x, y) is NOT (y, x)
(3, 5)
(3, 5)
Right 3, then up 5.
(5, 3)
(5, 3)
Right 5, then up 3.
🔑Key Terms
🧮Coordinate Plane A flat 2D grid made by two perpendicular number lines.
↔️X-Axis The horizontal (left-to-right) number line.
↕️Y-Axis The vertical (up-and-down) number line.
🎯Origin Where the axes cross — the ordered pair (0, 0).
📝Ordered Pair Two numbers (x, y) that name one exact point.
📐Quadrant One of the four sections the plane is split into.
Remember: run before you jump! Move along the X-axis first (left/right), then the Y-axis (up/down). So (3, 5) and (5, 3) are two totally different points.
✏️ Math Anchor Chart · The Coordinate Plane
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