A replacement-grade Geometry course where students construct, transform, measure, model, and prove. Every theorem becomes a visible invariant and every design decision becomes evidence.
diagram looks true · undefined vocabulary · reason copied without matching fact · assuming converse is true · example as proof · counterexample ignored
Studio: Create a 12-minute repair mission for Foundations Of Geometry And Proof.
TeachProof: Ask for the invariant before naming the theorem.
eyeballing midpoint · radius too small · construction without proof · center point misplaced · assuming visual half · angle measure ignored
Studio: Create a 12-minute repair mission for Constructions And Geometric Tools.
TeachProof: Ask for the invariant before naming the theorem.
translation changes size · wrong rotation center · reflection line guessed · SSA as congruence · matching order ignored · criterion chosen by memory only
Studio: Create a 12-minute repair mission for Transformations And Congruence.
TeachProof: Ask for the invariant before naming the theorem.
scale changes angles · additive scaling · center of dilation ignored · congruence vs similarity · wrong corresponding sides · ratio order reversed
Studio: Create a 12-minute repair mission for Similarity And Right Triangle Trigonometry.
TeachProof: Ask for the invariant before naming the theorem.
angle read from drawing · arc ignored · central and inscribed angle confused · tangent vs secant · radius endpoint misplaced · 90 degrees assumed
Studio: Create a 12-minute repair mission for Circles And Angle Relationships.
TeachProof: Ask for the invariant before naming the theorem.