# Sample Math Research Projects

Below are links to some simple math research outlines. Each outline begins with a simple *seed question* that should be accessible to students in typical math classes. What follows the *seed question* are *extension questions* that a student might explore and investigate in order to build a math research project.

Exploring extensions of the basic midpoint formula in the plane.

Exploring Pythagorean Triples, quadruples, and beyond!

Fun with the sum 1 + 2 + 3 + … + 100.

The classic conundrum in Cartesian City!