Public evidence

education.final_grade

Machine-checked verification for calculation version 1.1.1 · tier engine_tested

Open calculator API Capability Download JSON CVP Manifest MCP Review policy

CVP: CVP VERIFIED · CVP protocol 1.0.0-proposed · Engineering assurance· Current excludes final; W in percent; planning estimate only · Protocol · Schema · Production report

Declared partition coverage: PASS · 5/5 declared partitions (need, overall, weighted, points, invalid-domain)
Versions: Calculation 1.1.1 · CVP protocol 1.0.0-proposed
CVP identity: 8/8 property · digest d660dddb19db

Verification

Legacy regression suite: 26/26 calculation tests · Production surface contract 4/4

Three distinct suites: educational examples on the calculator page, this legacy regression count (26/26 golden + boundary), and the CVP verification suite below. They are not the same number. Property, metamorphic, round-trip, O3, and interface statuses/checks are recorded in the CVP Manifest . SKIP (0/0) means that suite has no published vectors.

This calculator CURRENT · Public schema 1.1.1 matches · Semantic contract ✓ · Production attested · Public/cache ✓ · Origin ✓

CVP verification suite

Protocol checks from the Evidence Manifest. Distinct from the legacy regression suite above. Calculation version 1.1.1. CVP 1.0.0-proposed. 1/1 golden · 12/12 CVP boundary · 4/4 invalid · 8/8 property · 1/1 cross-interface · 1/1 CVP contract. digest d660dddb19db.

Golden (oracle-backed) 1 / 1
CVP boundary 12 / 12
Invalid input 4 / 4
Property 8 / 8
Cross-interface 1 / 1
CVP contract 1 / 1
Interfaces PASS · UI (SSR) / REST / MCP
Interface claim ui-ssr is query-result HTML, not a live browser session.
Assurance Engineering

release artifacts aligned PASS
schema valid input executes PASS
engine success output validates schema PASS
schema rejects incomplete input PASS

Fingerprint sha256:d0c84c4dfd54ae467be14367de1c0f3532748857b551ffe47175946d417c9479

Input schema sha256:548a9acb12e46491968636cf4991a6f7ab8a701719afbde49b6e02c3921c9df2 · Output schema sha256:2fa2caf68de0f94e8f23cae378eed36318bc3b0edbb0cdebcadfd2b07cd7e1ba · Build-time SHA-256 digests prove published artifacts agree with each other (release_integrity.scope=workspace). Production attestation GETs canonical URLs twice (public/cached view and origin), including Capability HTML, via npm run attest:production --write (published at /.well-known/calculatorx-production-attestation.json) and fails if the public Capability page advertises a different calculation_version. This is artifact consistency, not an independent immutable release log.

Build & scope

Engine identity and declared limitations.

Tool: final-grade
Engine: final-grade
Engine build: 2026-09-10
Evidence core: 2026-09-10T22:48:17.762Z
Rendered: 2026-09-16T22:03:43.767Z
Last reviewed: —

Assumptions

Category weights are percentages that should total about 100% including remaining work.
Need on final / Overall after final: Current must exclude the final. Do not enter a current grade that already counts the final as 0%.
Weighted course: enter category grades and weights as they actually appear in the syllabus or LMS for completed work.
No curve, drop-lowest, or extra credit unless you adjust inputs yourself.

Limitations

Need on final / Overall: Current must exclude the final (pre-final grade). Do not enter an LMS current that already counts the final as 0%.
Weighted: enter category grades and weights as they actually appear for completed work; remaining weight is optional.
W is percent (40); w = W/100 is the fraction form. Do not mix W and w in one expression.
Need on final with W = 0 → status invalid, code WEIGHT_REQUIRED (not a number).
Points mode total ≤ 0 → TOTAL_POINTS_REQUIRED. Final points > total still computes and warns POINTS_EXCEED_TOTAL.
Letter cutoffs / GPA points are a reference example, not part of the calculation model.
Planning estimate only — not an official transcript. No curve, drop-lowest, or extra credit unless you adjust inputs.
Engine aliases current/goal/W/finalScore/totalPoints are accepted at runtime; prefer share-URL field names in schemas.

Sources

Standards and references supporting this tool specification. Methods are listed separately — they are algorithms, not bibliographic sources.

University of Chicago — Use Weighted Assignment Groups in Your Canvas Course — Total = Σ(category percentage × group weight); example: quizzes 20% + midterm 30% + final 40% + participation 10%
Supports: Institutional statement of the weighted-category course grade as a linear combination of category averages
Appalachian State University — Gradebook: Weighted Mean of Grades (Percentages) — Weighted mean of grades; unentered items are excluded and remaining weights are rescaled until those scores exist
Supports: Why Current grade should exclude the final, and why an LMS “current grade” may temporarily omit an ungraded final
Weighted arithmetic mean (pre-final average and final exam weight) — Overall = Current×(100−W)/100 + Final×W/100, equivalently Current(1−w)+Final·w with w = W/100
Supports: The algebraic identity used by Need on final and Overall after final, independent of any one school’s letter scale

Legacy published checks

Golden and boundary cases from the legacy Evidence JSON. CVP property, metamorphic, round-trip, O3, and interface statuses/checks are recorded in the Manifest — including SKIP when a suite has no vectors.

ID	Kind	Status	Detail
`need-85-90-40`	golden	pass	Expected value=97.5 · reachability=attainable · Actual value=97.5 · status=ok · mode=need · current=85 · goal=90 · weight=40 · remain=60 · needed=97.5
`need-70-80-50`	golden	pass	Expected value=90 · reachability=attainable · Actual value=90 · status=ok · mode=need · current=70 · goal=80 · weight=50 · remain=50 · needed=90
`boundary-w-100`	boundary	pass	Expected value=88 · reachability=attainable · Actual value=88 · status=ok · mode=need · current=70 · goal=88 · weight=100 · remain=0 · needed=88
`boundary-w-0`	boundary	pass	Expected WEIGHT_REQUIRED · Actual WEIGHT_REQUIRED
`boundary-needed-100`	boundary	pass	Expected value=100 · reachability=attainable · Actual value=100 · status=ok · mode=need · current=80 · goal=90 · weight=50 · remain=50 · needed=100
`boundary-unreachable`	boundary	pass	Expected value=235 · reachability=unreachable · Actual value=235 · status=ok · mode=need · current=60 · goal=95 · weight=20 · remain=80 · needed=235
`boundary-needed-0`	boundary	pass	Expected value=0 · reachability=secured · Actual value=0 · status=ok · mode=need · current=100 · goal=60 · weight=40 · remain=60 · needed=0
`boundary-needed-neg`	boundary	pass	Expected value=-30 · reachability=secured · Actual value=-30 · status=ok · mode=need · current=95 · goal=70 · weight=20 · remain=80 · needed=-30
`overall-85-92-40`	golden	pass	Expected value=87.8 · Actual value=87.8 · status=ok · mode=overall · current=85 · finalScore=92 · weight=40 · remain=60 · overall=87.8
`boundary-overall-w-0`	boundary	pass	Expected value=85 · Actual value=85 · status=ok · mode=overall · current=85 · finalScore=92 · weight=0 · remain=100 · overall=85
`boundary-overall-w-100`	boundary	pass	Expected value=92 · Actual value=92 · status=ok · mode=overall · current=85 · finalScore=92 · weight=100 · remain=0 · overall=92
`points-200-1000`	golden	pass	Expected value=20 · Actual value=20 · status=ok · mode=points · total=1000 · finalPts=200 · weight=20 · unit=%
`boundary-points-total-0`	boundary	pass	Expected TOTAL_POINTS_REQUIRED · Actual TOTAL_POINTS_REQUIRED
`points-exceed-total`	boundary	pass	warning POINTS_EXCEED_TOTAL
`xref-need-overall-identity`	formula cross-check	pass	Expected value=90 · Actual value=90 · status=ok · mode=overall · current=85 · finalScore=97.5 · weight=40 · remain=60 · overall=90
`weighted-two-cats`	golden	pass	Expected value=85 · Actual value=85 · status=ok · mode=weighted · counted=2 · weightSum=100 · weightedSum=8500 · currentAvg=85 · remain=0
`boundary-categories-empty`	boundary	pass	Expected CATEGORIES_REQUIRED · Actual CATEGORIES_REQUIRED
`boundary-overall-missing-final`	boundary	pass	Expected INPUT_REQUIRED · Actual INPUT_REQUIRED
`property-deterministic`	property	pass	97.5
`property-w100-needed-eq-goal`	property	pass	88
`property-need-overall-roundtrip`	property	pass	90
`property-overall-w0`	property	pass	85
`property-overall-w100`	property	pass	92
`property-points-inverse`	property	pass	20
`property-monotonic-current`	property	pass	needed decreases as current increases
`property-Ww-identity`	property	pass	97.5