explain how Algebra 2 A and B together meet the CA CCSS Algebra II standards and the UC area C expectations, and show a reviewer where each standard is taught.
Algebra 2 A and Algebra 2 B are one full-year course, submitted together to UC as area C (mathematics) at the Algebra II / Mathematics III level. A student needs both semesters for the year of credit. The standards file for the course holds the 57 CA CCSS codes of the traditional-pathway Algebra II course, including the California additions (F-LE.4.1-4.3 on logarithms, F-TF.2.1 on graphing all six trigonometric functions, G-GPE.3.1 on circles and parabolas from the general quadratic, and A-REI.3.1 on absolute value), the (+) standards the course lists, and the S-IC inference standards. Every one of them is cited in at least one lesson across the two semesters, and the builder checks that before anything is published.
What Semester A covers. Four units follow the Illustrative Mathematics Algebra 2 sequence (CC BY 4.0), which we adapted rather than copied: Sequences and Functions; Polynomials; Rational Functions and Equations; and Complex Numbers and Rational Exponents. Exponentials and logarithms, transformations, trigonometry and statistics are in Semester B.
The area C case in one paragraph. UC reviewers look for three things in a mathematics course: depth of content beyond Algebra 1 and Geometry, reasoning and proof, and application. This semester gives reviewers concrete evidence of each. Students derive the geometric series formula (Lesson 1.3), prove the Remainder Theorem and polynomial identities (2.3, 2.4), argue closure for polynomials and rational expressions (2.1, 3.2), explain why extraneous solutions arise instead of only catching them (3.3, 4.2), and show the Fundamental Theorem of Algebra for quadratics by completing the square (4.4). Every unit ends in a modeling report built on real data and taken through a planning stage, a peer-reviewed draft, a revised final and a presentation. When a reviewer asks for evidence of rigor, show them a discourse-lab critique and a culminating report rather than a test.
Your part in keeping the case true. The case depends on the proofs and discourse labs actually happening. If time is short, protect them and cut practice volume instead (Lesson 1.3 of this guide). A course that skips the derivations and runs only the procedure labs would still cover the standards on paper, but it would not be the course UC approved.
Unit assessments. The course expects at least one proctored or synchronous component per unit, with one written derivation or proof on each unit test. That component, together with the multi-stage reports, is what keeps the grade a reliable measure of the student’s own reasoning.
Where the Semester A standards land
| Domain | Standards | Primary lessons |
|---|---|---|
| Sequences and series | F-BF.1, F-IF.5, F-IF.6, A-SSE.4 | 1.1-1.5 |
| Structure of expressions | A-SSE.1, 1.a, 1.b, A-SSE.2 | 1.1, 1.3, 2.2, 2.4, 4.1 |
| Polynomials | A-APR.1-5, F-IF.7, F-IF.7.c | 2.1-2.5 |
| Rational expressions and equations | A-APR.6, A-APR.7, A-REI.2, A-REI.11, A-CED.1-4, F-BF.1.b | 3.1-3.5 |
| Roots and radical equations | F-IF.7.b, A-REI.2 | 4.1, 4.2, 4.5 |
| Complex numbers | N-CN.1, 2, 7, 8, 9 | 4.3, 4.4 |
| Modeling and interpretation | F-IF.4, F-IF.9, A-CED.2, A-CED.3, MP.1-MP.8 | Every unit, especially x.4 and x.5 |
A reviewer asks for evidence that the course includes proof. Which is the strongest single artifact from Semester A?
How confident are you that you can explain the area C case and show where each Semester A standard is taught?