Geometry A and Geometry B are submitted together as one full-year UC A-G area C course. Area C asks for college-preparatory mathematics that goes beyond procedures: students must reason, justify and solve non-routine problems. For Geometry, a reviewer looks for three things above all: that proof is central rather than decorative, that congruence and similarity are built on transformations as the California framework expects, and that students model real situations with geometry. This semester is designed to show all three in its student work.

Where the standards land. The 57 Geometry codes in the California standards file are divided between the semesters in the order the Illustrative Mathematics Geometry sequence uses. Geometry A carries the G-CO cluster (definitions, constructions, rigid motions, congruence and the proofs about lines, angles, triangles and parallelograms), the whole G-SRT cluster (dilations, similarity, the Pythagorean Theorem by similarity, right-triangle trigonometry including the California addition G-SRT.8.1 on special right triangles, and the plus standards G-SRT.9-11 on the area formula and the Laws of Sines and Cosines), and G-GMD.6, California’s addition on the triangle inequality. Geometry B carries solids, coordinate geometry, circles and the probability standards California places in Geometry. The validator checks that every code is cited somewhere across the two semesters.

The Mathematical Practices. Every unit cites at least one practice, but two carry the semester: MP.3 (construct viable arguments and critique the reasoning of others) in every discourse lab and proof task, and MP.5 (use tools strategically) in every construction. When a reviewer asks where students critique reasoning, point to the discourse labs (Lessons 1.3, 2.3, 3.3 and 4.3) and to the critique entry in the Unit 2 portfolio.

The rigor argument in one sentence. Students prove the congruence criteria, the parallel-line theorems, the triangle angle sum, the parallelogram properties, the AA criterion, the triangle proportionality theorem, the Pythagorean Theorem and the Laws of Sines and Cosines themselves, and they defend proofs orally. That is the sentence to use in the course-management portal and with families who ask whether an online Geometry course can be rigorous.

Sample work to keep. The articulation checklist asks you to retain the Unit 2 proof portfolio and the Unit 4 survey report. Keep a range, with student names removed, not only the best.