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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.

Midpoints and Beyond

Exploring extensions of the basic midpoint formula in the plane.

Pythagorean Triples

Exploring Pythagorean Triples, quadruples, and beyond!

Sums of Integers

Fun with the sum 1 + 2 + 3 + … + 100.

Grid Walking

The classic conundrum in Cartesian City!