A location in space. A point is 0-D. It has no length, width, or depth.
In math, a point is the most basic object in geometry. It shows an exact position or location in space, but it doesn’t have any size: no length, width, or thickness.
We usually name points with capital letters, like A or B. If we’re using the coordinate plane, a point is written as an ordered pair like (3, 2), which tells us exactly where to find it.
Think of a point like a tiny dot you make with a sharp pencil. It marks a place, but it doesn’t take up any space!
Points are the starting place for geometry. They’re used to:
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Locate positions on graphs and maps
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Mark corners or endpoints in shapes
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Build lines, angles, and more complex figures
When Do Students Learn About Points?
Students begin learning about points early on when exploring shapes and space, and they continue using them as they study geometry and algebra.
Grades 1–2 – Recognizing and Naming Points
Students learn to identify points and use them to describe simple shapes and positions.
Grades 3–5 – Using Points in Geometry and Graphing
Students use points to label shapes, draw line segments, and begin working with coordinate grids.
Grades 6+ – Plotting Points and Analyzing Relationships
Students use points to graph equations, measure distances, and explore relationships in geometry and algebra.
