Learning Goals
Students will be able to investigate vertical angles, transversals, and perpendicular bisectors in complex diagrams to determine when angle and distance relationships are always true.
Students will be able to construct compass-and-straightedge geometric figures to demonstrate congruent segments and angle relationships.
Students will be able to write formal two-column, flowchart, and paragraph proofs to justify triangle congruence and angle relationships.
Students will be able to evaluate and rewrite converse and contrapositive statements to test the validity of geometric claims.
Students will be able to apply special right triangle ratios and the Pythagorean Theorem to calculate unknown side lengths and angle measures in composite figures.
Students will be able to use triangle congruence theorems and corresponding parts to verify properties of quadrilaterals and circle-based diagrams.
Students will be able to communicate and defend mathematical conclusions in a Geometry Courtroom setting using precise vocabulary and evidence from constructions, calculations, and proofs.
Products
Geometry Courtroom Individual Case File
Each student submits a user-facing-style case file that includes one original compass-and-straightedge construction, an annotated research/proof page, and a formal proof of one solved measure from the unit figure set. The file must show how the student tested a claim, identified a valid theorem, and revised a weak step after feedback.
Geometry Courtroom Team Exhibit Board and Oral Defense
Teams produce one polished exhibit board with a shared problem statement, a higher-fidelity constructed solution, and a concise oral defense for authentic jurors. The board must show how individual investigations informed the final claim, how multiple solution paths were compared, and how feedback shaped the final proof narrative.
No rubric has been generated yet.