> Current platform extension and acceptance status: [platform-completion.md](platform-completion.md). The report below describes the earlier curriculum-only phase; its source-only storage description is superseded by the normalized database extension.

# Algebra I implementation report — November 4, 2026

The curriculum and exercise implementation is available locally at `/algebra-1/resources`. Release acceptance remains pending live OpenAI evaluation and browser-based visual/mobile QA. No remote deployment was performed.

## Counts

| Item | Total |
|---|---:|
| Official expectations extracted and mapped | 56 |
| Content expectations | 49 |
| Integrated mathematical process expectations | 7 |
| Curriculum units | 11 |
| Canonical topics / educational posts | 185 |
| Topic entries across units | 186 |
| Worked examples | 925 |
| Multiple-choice questions | 740 |
| Detailed written-response questions | 185 |
| Posts connected to the AI evaluation endpoint | 185 |
| Posts with successfully verified live AI feedback | 0 — server key rejected |
| Unmapped official standard codes | 0 |

Geometric sequences appears in two units and links to one canonical post. Identically named topics with different contexts, such as linear versus exponential initial value, have separate contextual SEO titles and descriptions. Prerequisites and enrichment have explicit labels; they are not counted as extra Algebra I expectations. Review assessments sample their listed codes rather than claiming that a five-question checkpoint independently proves full coverage or mastery.

## Research and coverage

The current TEA mathematics page links the high-school standards containing **19 TAC §111.39, Algebra I, Adopted 2012**. Its 56 student expectations were extracted before lesson construction. The adopted-new-middle-school course is distinct from this course. Completing the square is explicitly required by A.8A.

- [Official high-school TEKS, §111.39](https://tea.texas.gov/laws-and-rules/sboe-rules-tac/sboe-tac-currently-effect/ch111c.pdf)
- [Current mathematics curriculum page](https://tea.texas.gov/educators/subject-areas/mathematics)
- [Current STAAR mathematics resource index](https://tea.texas.gov/data-reports/staar/staar-mathematics-resources)
- [Assessed curriculum linked by that index](https://tea.texas.gov/data-reports/staar/2014-algebra-i-assessed-curriculum.pdf)
- [Blueprint linked by that index](https://tea.texas.gov/data-reports/staar/2022-staar-algebra-i-blueprint-0.pdf)
- [TEA Algebra I instructional materials](https://im.tea.texas.gov/programs/algebra-i)
- [OpenAI structured output documentation used for grading](https://developers.openai.com/api/docs/guides/structured-outputs)

The requested SBOE blueprint URL was unavailable; the current TEA resource index supplied the working blueprint. The official source's January 2014 assessed-curriculum document remains the current index's linked source for readiness/supporting labels; it is not substituted for the complete course standards. The blueprint has 50 questions and 59 points. Course practice is original and is not presented as an official released test.

See `official-expectations.json` for the extracted knowledge-and-skills statements and student expectations. See `teks-coverage.md` and `teks-coverage.json` for code-by-code lesson links. Mapping documents instructional evidence; it is not a claim that a learner has mastered the standard.

## Technical changes

- Added a versioned, source-controlled curriculum manifest, explicit topic plans, explanations, original deterministic problem constructors, reference solutions, and a 2/3/3/2 written rubric.
- Extended the existing Algebra catch-all route with lesson pages while retaining all 16 existing resource articles and their URLs. Added the course browser to the existing hub through an optional component slot; other hubs retain their existing rendering.
- Reused `CVHeader`, `CVFooter`, colors, typography classes, existing authentication, `users`, `dashboard_algebrastudent`, the MySQL pool, and existing OpenAI environment conventions. No global header/footer changes were made.
- Added topic/TEKS search, account and owned-student progress, labeled worked visuals, superscript math formatting, model-fitting technology lab, related/prerequisite links, and previous/next navigation.
- Added unique metadata, canonical URLs, Open Graph data, LearningResource and BreadcrumbList JSON-LD, and sitemap entries. Fixed existing implicit types in the touched sitemap to enable scoped type checking.
- Objective grading occurs on the server. Public exercise props omit answer indices, explanations, and the written reference solution. The solution and rubric are looked up server-side, never accepted from the client. Written reference steps are returned only after successful submission and evaluation.
- AI evaluation uses the existing Responses API convention, `store:false`, strict JSON schema, validated scores and rubric totals, partial-credit/alternative-method instructions, provider refusal/incomplete handling, a 45-second timeout, and friendly errors. Uses the authored correct solution rather than trusting a model-generated replacement solution.
- Requests have a 16 KB streaming limit, 8,000-character written limit, origin checks, current-content-version checks, persistent rate limits, per-user concurrency locks for paid evaluation, and account-bound idempotent submission IDs. Anonymous objective requests have a shared 1,000/minute protection; signed-in objective requests have 30/minute, and written evaluation has 12/hour.
- Attempts store the authenticated account, optional authorized existing student, topic/version, submitted answer, scores, and validated feedback. No IP addresses or new authentication/student systems were introduced.

## Database migration executed

Applied `scripts/migrations/20261104_algebra_curriculum_attempts.sql` to the configured local database. It creates two additive tables:

1. `dashboard_algebracurriculumattempt`: self-study attempts linked to existing users and optional existing Algebra students.
2. `dashboard_algebracurriculumratelimit`: short-lived counters shared across workers.

Existing scheduled-class lessons/exercises/attempts were inspected and left intact. Their classroom scheduling fields do not represent public, account-owned self-study attempts, so a separate extension table is used rather than fabricating scheduled lessons or duplicating user/student records. Curriculum content remains versioned in source; no duplicate article/content tables were necessary.

Reapply safely in another configured environment with:

```powershell
node scripts/migrate-algebra-curriculum.mjs
```

## Verification

- Curriculum audit checks all 56 official codes against the extracted source, question counts, distinct options, deterministic answer keys, duplicate exercise questions, unique metadata, required worked solutions, and mathematical identity checks.
- Independent Python/SymPy checking passes **1,840 mathematical cases** across examples, MCQs, and detailed reference answers. The other **10 causation cases** require logical study-design reasoning and were reviewed as such, not falsely counted as symbolic calculations. See `independent-math-verification.json`.
- Integration tests cover all 740 objective keys; private-solution omission; rubric validation; structured provider request/response fixtures; unavailable/incomplete AI responses; regression calculations; guest scoring; authentication; student ownership; stored scores; idempotency; conflicting replay rejection; request-size/version/origin checks; persistent rate limiting; and progress retrieval. Temporary fixture accounts/students/attempts are cleaned up. See `integration-tests.json`.
- HTTP checks cover all **185 new lesson URLs and 16 legacy resource URLs**, metadata, structured data, exercise sections, and absence of serialized private solutions. See `routes-validation.json`.
- ESLint passes for the changed curriculum components, data, API modules, and scripts. Scoped TypeScript checking passes. A full repository type check exceeded Node's default 4 GB heap; a full production build was not verified.

Reproduce the content and mathematical audits with:

```powershell
node scripts/audit-algebra-curriculum.mjs
python scripts/verify-algebra-math.py
node scripts/test-algebra-curriculum.mjs
node scripts/check-algebra-pages.mjs
```

The integration and route scripts require the local Next server. The Python checker requires SymPy. The application itself has no Python runtime dependency. Deterministic problem allocation is part of the content version: bump `courseVersion` whenever lesson data or answer allocation changes.

## Remaining acceptance items

1. **Live AI evaluation:** the existing server key returned HTTP 401 `invalid_api_key`. Replace `OPENAI_API_KEY` in the server environment, restart/reload if needed, and verify complete, partial, alternative-method, unsupported-final-answer, and incorrect solutions against the live configured model. Provider fixtures pass; they do not substitute for this live check.
2. **Visual and mobile QA:** the in-app browser backend was unavailable. Computer Use also stopped because it could not reliably identify Chrome's URL for policy enforcement. No successful browser interaction or mobile viewport verification is claimed. Responsive classes and server-rendered markup are implemented, but exercise retry behavior, graphs, layout, and accessibility still need a real browser check.
3. **Production build/deployment:** the scoped checks and local HTTP routes pass. Full repository type checking exhausted the default Node heap; no production deployment or full production-build success is claimed.

There are no missing topic URLs in the implemented manifest or unmapped official standard codes. These remaining checks prevent calling the entire requested educational product fully accepted or production-verified.