Geometry of the Real World
Angles, area, and the Pythagorean theorem doing actual work.
Mathematical foundation
Geometry
Real-world lens
Architecture and design
How this unit works
Hook
A short video that opens with something surprising or counterintuitive — a question worth sitting with before the answer arrives.
Exploration
An interactive investigation where you discover the underlying pattern yourself, before the formal explanation arrives.
Explanation
A second video that gives the formal mathematical framework — now that you have something to attach it to.
Application
Scenario-based problems that ask you to apply the concept to situations the lesson hasn't explicitly covered.
Discussion
A structured activity or prompt that asks you to argue a position, evaluate someone else's reasoning, or connect the idea to something in your own life.
Capstone
A small project — something to make, write, or analyze — that pulls the unit together and asks you to go a little beyond what the lessons covered.
Content for this unit is being developed. Follow along as Figure grows.