Pythagoras Labundergrad · Pythagoraslab: Right Triangle ID
  1. Conjecture
  2. Manipulate
  3. Measure
  4. Explain
  5. Generalize
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Pythagoras Lab

StudentChoose a mission, make a prediction, test the model, then explain the evidence.
TeacherLook for misconception tags, evidence-step completion, and transfer-readiness signals.

PythagorasLab

band 3-5 · mission — · seed —tiles · grid · checker
Missions
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Invariant witness
triple(3, 4, 5)
a² + b²9 + 16 = 25
c²25
matchexact
The square on each side is an area, drawn and tiled; the two leg squares fill the hypotenuse square exactly -- for right triangles only.
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Squares, tiles, and right corners

A right triangle carries three squares -- one on each side. The tiles inside each square are its area. This world exists to prove the two smaller areas fill the largest exactly, and that this only works when the corner is right.

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