Cartesian grid with numbered x and y axes through the centre: four quadrants for plotting points and graphing functions.

Free coordinate plane PDF. Numbered x and y axes through the centre with four labelled quadrants, perfect for algebra and geometry worksheets.

Coordinate Plane Graph Paper | Free Printable PDF

Coordinate Plane

Decide whether one cell equals 1 unit, 0.5 units, or 10 units before placing your first point. Mixing scales across axes is sometimes useful for tall-skinny functions, but mixing scales within an axis (some sections finer than others) is always a mistake.

Pick the scale before you plot

Just 'x' and 'y' tells readers nothing about what the plot represents. 'Time (seconds)' and 'Position (metres)' tells them what they're looking at. Even in pure math, label the axes with what they represent before plotting.

Label the axes with both variable and unit

For function plots, you don't need to mark every grid intersection. Three to five well-chosen points plus the general shape of the curve is enough. Marking every point at every integer x produces a cluttered plot that's harder to read than a clean one.

Mark only the points you need

Even functions (f(-x) = f(x)) are symmetric about the y-axis. Odd functions (f(-x) = -f(x)) are symmetric about the origin. Identify the symmetry, plot one half, mirror to the other. It's faster and produces more consistent plots.