An oval. The set of points for which the sum of the distances from each point to two fixed points is equal.
An ellipse is a smooth, curved shape that looks like a stretched-out circle.
In math, we define it as the set of all points where the total distance to two fixed points—called foci—is always the same. This special rule gives the ellipse its oval shape.
Ellipses appear in nature and science, like the approximate paths of planets in space or the shape of some stadium tracks. While a circle has one focus at its center, an ellipse has two foci, which makes it a bit more complex but just as interesting.
When Do Students Learn About Ellipses?
Students are introduced to ellipses when they study more advanced geometry and algebra topics in middle and high school.
Grades 6–8 – Introduction to Conic Sections
Students may explore ellipses while learning about conic sections, alongside circles, parabolas, and hyperbolas.
Grades 9+ – Graphing and Analyzing Ellipses
Students learn how to write the equation of an ellipse, graph it on a coordinate plane, and understand its properties.
