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!