Explorable Explanations Hack-a-thon
Exploring High School Math with GeoGebra and Desmos
A fast-moving collection of high school mathematics explorations built for an explorable-explanations gathering in San Francisco.
Context
A 22-slide sequence that moves from quadrilateral diagonals through factoring, completing the square, and integer triangles, emphasizing noticing and wondering before formalization.
The source materials identify the event and year but not an exact presentation date, so this page displays 2018 without inventing a day or month.
Video
Talk recording
The deck is structured as a sequence of mathematical provocations. It opens with “What do you notice? What do you wonder?” and repeatedly moves from a visible or manipulable case toward a more general representation.
Its dark charcoal frame, condensed white type, and compact all-caps labels come from the original Keynote cover.
Interactive materials
Applets from the talk
Diagonals Cut - Exterior Edition
A GeoGebra drag and notice exploring diagonals cut - exterior edition.
Open applet
Factorable Quadratics
Drag the coefficient point and watch how a monic quadratic's graph, factorability, and integer roots line up.
Open applet
When does Angle Side Side work?
A GeoGebra drag and notice exploring when does angle side side work?.
Open appletRelated writing