SG×EducationOS — JC Core Engine v1.0 (A-Level, J1–J2)

TITLE: SG×EducationOS — JC Core Engine v1.0 (A-Level, J1–J2)
SUBTITLE: GP 8881 + H2 Math 9758 + H2 Sciences (Chem 9476 / Phys 9478 / Bio 9477) in one executable loop
VERSION: CivOS Unified Spec v1.x
MODE: Almost-Code / Operator panel / WordPress paste-ready
OWNER: eduKateSG Fence Learning Systems
PLACE: SG
UPDATED: 2026-02-17
STATUS: publishable
AUTHORITATIVE SOURCES (SEAB, SG):
- SEAB: “2026 GCE A-Level syllabuses examined for school candidates” list (includes GP 8881, H2 Math 9758, H2 Chem 9476, H2 Phys 9478, etc.). :contentReference[oaicite:0]{index=0}
- H2 Mathematics (9758) syllabus for 2026. :contentReference[oaicite:1]{index=1}
- H2 Chemistry (9729) syllabus for 2026 (marked last year of exam in 2026 on SEAB list). :contentReference[oaicite:2]{index=2}
- H2 Physics (9749) syllabus for 2026 (legacy) and H2 Physics (9478) “first year of examination in 2026” (revised). :contentReference[oaicite:3]{index=3}
- GP (8881) syllabus PDF (listed by SEAB for A-Level). :contentReference[oaicite:4]{index=4}
- Chemistry Data Booklet (for revised H2 Chemistry 9476; also referenced by SEAB resources). :contentReference[oaicite:5]{index=5}
========================================================
H1: JC Core Engine (SG) — A-Level Stability System (J1–J2)
========================================================
WHAT THIS IS:
A single “pilot panel” for JC that keeps students inside the stable band:
Sensors → Router → Protocols → Retest → Widen
This is the SAME engine you already built for Primary + Secondary,
just upgraded for JC load:
- longer reasoning chains
- higher abstraction
- more time pressure
- higher penalty for missing method/structure
TIME BUDGET (recommended):
- Sensors: 6×10 min/week (2 GP + 2 Math + 2 Science) = 60 min
- Repairs: 4×25 min/week (2 GP + 1 Math + 1 Science) = 100 min
Total: ~160 min/week
LOCKS (JC HARD):
- Fix only Top3 RootNodes across all subjects per week.
- TRACE discipline is mandatory:
  - GP TRACE = evidence + reasoning chain (claim→because→impact)
  - Math TRACE = method marks (full working + checks)
  - Science TRACE = explanation chain + correct representation (equations/graphs/definitions)
- If TraceMissing repeats → TRUNCATE+STITCH (no widening until stable).
========================================================
SECTION 1 — Z3 CONTAINERS (EXAM + SYLLABUS)
========================================================
Z3 (School candidates 2026 list):
- SG×EDU×JC×Z3×System×Index×SEAB-ALEVEL-2026-v1.0 :contentReference[oaicite:6]{index=6}
Core lanes (most used):
- GP: 8881 :contentReference[oaicite:7]{index=7}
- H2 Math: 9758 :contentReference[oaicite:8]{index=8}
- H2 Chemistry: 9476 (revised; data booklet exists) :contentReference[oaicite:9]{index=9}
- H2 Physics: 9478 (revised; first exam 2026) :contentReference[oaicite:10]{index=10}
- H2 Biology: 9477 (listed) :contentReference[oaicite:11]{index=11}
Legacy lanes (still present for some cohorts/contexts):
- H2 Chemistry: 9729 (last year of exam in 2026 per SEAB list). :contentReference[oaicite:12]{index=12}
- H2 Physics: 9749 (legacy). :contentReference[oaicite:13]{index=13}
========================================================
SECTION 2 — PHASE RUBRIC (P0–P3) FOR JC
========================================================
P0: cannot start / random steps / no structure / time crash.
P1: can do “familiar” templates; collapses on variation and synthesis.
P2: stable under timed conditions + variation; trace present; method/structure marks secured.
P3: transfer + self-correction + can generate structure from scratch.
JC failure truth:
- Most students are “P1 disguised as P2” until the first heavy paper.
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SECTION 3 — WEEKLY SENSOR ROTATION (A/B/C)
========================================================
Week A (Reasoning chain + Core calculus):
GP:
- GP-A1: Comprehension / Reasoning Chain-10
- GP-A2: AQ Mini (claim→because→impact)-10
H2 Math:
- M-A1: Differentiation Core-10
- M-A2: Pure Math Manipulation-10
Science (choose 1 subject):
- S-A1: Core Concepts-10
- S-A2: Explanation Chain-10
Week B (Essay spine + Stats/Probability + Applications):
GP:
- GP-B1: Essay Plan-10 (thesis + 3 claims + 3 evidence slots)
- GP-B2: Language Precision-10 (define terms + counterpoint)
H2 Math:
- M-B1: Integration Core-10
- M-B2: Stats/Probability Core-10
Science:
- S-B1: Data/Graph/Table-10
- S-B2: Application/Novel Context-10
Week C (Time & Transfer):
GP:
- GP-C1: Synthesis/Comparison-10 (link ideas across paragraphs)
- GP-C2: Paragraph Craft-10 (topic sentence + evaluation)
H2 Math:
- M-C1: Mixed Paper-10
- M-C2: Error-Find-Fix-10
Science:
- S-C1: Mixed Core-10
- S-C2: Practical Thinking-10 (design/variables/errors)
Repeat A → B → C.
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SECTION 4 — JC MICRO-CHECK CARDS (10 min each)
========================================================
--------------------
GP (8881) — Sensors
--------------------
SENS-GP-CHAIN-10-v1.0
- 1 short passage excerpt
- 3 Qs: inference + evaluation
- each answer must include: Evidence + “therefore” reasoning
PASS: >=8/9 (content + chain)
SENS-GP-AQ-10-v1.0
- 1 local context claim prompt
- write 1 paragraph in: Claim → Because → Example → Impact (CBEI)
PASS: >=7/8
SENS-GP-ESSAYPLAN-10-v1.0
- pick 1 question
- output: thesis + 3 claims + 1 counterclaim + 1 rebuttal
PASS: >=5/6 (coherent, no drift)
SENS-GP-SYNTH-10-v1.0
- compare 2 ideas (two short excerpts)
- write: similarity + difference + why it matters
PASS: >=5/6
------------------------
H2 Math (9758) — Sensors
------------------------
(9758 includes a defined scheme + GC use; treat “method marks” as TRACE.) :contentReference[oaicite:14]{index=14}
SENS-9758-DIFF-10-v1.0
- 6 items (rules + application)
PASS: >=5/6 with full working
SENS-9758-INTEG-10-v1.0
- 6 items (techniques + application)
PASS: >=5/6 with full working
SENS-9758-STATS-10-v1.0
- 6 items (distribution/CI/hypothesis/interpretation as appropriate for level)
PASS: >=5/6 with correct interpretation line
SENS-9758-MIX-10-v1.0
- 6 mixed items
PASS: >=5/6, no time crash
SENS-9758-ERRFIX-10-v1.0
- 3 worked solutions with 1 hidden error each
PASS: >=2/3 fully fixed + reason line
-----------------------------------------
Science (H2 Chem/Phys/Bio) — Sensors
-----------------------------------------
Chemistry (revised 9476) uses a data booklet (key constants / QA notes etc). :contentReference[oaicite:15]{index=15}
Physics (revised 9478) has practical assessment + math requirements. :contentReference[oaicite:16]{index=16}
(Use the same sensor shapes for all 3 sciences.)
SENS-H2SCI-CONCEPT-10-v1.0
- 8 quick checks: definitions + core ideas
PASS: >=7/8
SENS-H2SCI-CHAIN-10-v1.0
- 2 structured explanation prompts
- each must be: principle → apply → conclude
PASS: 2/2 coherent + correct
SENS-H2SCI-DATA-10-v1.0
- 1 dataset/graph/table + 6 Qs
PASS: >=5/6 + correct units/labels
SENS-H2SCI-APPLY-10-v1.0
- 1 novel context + 2 “predict/explain” Qs
PASS: 2/2
SENS-H2SCI-PRACT-10-v1.0
- design question: variables, controls, errors, improvement
PASS: >=5/6
========================================================
SECTION 5 — JC AUTO ROUTER (FAIL → ROOTNODES → PROTOCOLS)
========================================================
Router Rule 0 (hard lock):
IF TraceMissing (no chain / no working / no explanation structure):
→ FenceMode = TRUNCATE + STITCH
→ RootNode #1 becomes TRACE discipline protocol immediately.
-----------------
GP ROUTES
-----------------
GP1) Chain missing (answers are “vibes”)
RootNodes:
#1 GP-TRACE-CHAIN
#2 GP-EVIDENCE-QUOTE
#3 GP-EVALUATE-SO-WHAT
Protocols:
- FENCE-GP-CHAIN-25
- FENCE-GP-EVIDENCE-25
GP2) AQ weak (generic, no Singapore anchoring)
RootNodes:
#1 GP-AQ-LOCAL-ANCHOR
#2 GP-EXAMPLE-QUALITY
#3 GP-COUNTERPOINT
Protocols:
- FENCE-GP-AQ-CBEI-25
- FENCE-GP-COUNTER-25
GP3) Essay plan collapses (no spine)
RootNodes:
#1 GP-THESIS-LOCK
#2 GP-CLAIM-LADDER
#3 GP-REBUTTAL
Protocols:
- FENCE-GP-ESSAY-SPINE-25
-----------------
H2 MATH ROUTES (9758)
-----------------
M1) Many wrong steps / method drift
RootNodes:
#1 9758-METHOD-TRACE
#2 9758-ALG-CLEAN
#3 9758-CHECKLINE
Protocols:
- FENCE-9758-METHOD-LADDER-25
- FENCE-9758-CHECKLINE-25
M2) Differentiation fail
RootNodes:
#1 9758-DIFF-RULES
#2 9758-CHAIN-PRODUCT
#3 9758-APPLICATION
Protocols:
- FENCE-9758-DIFF-25
M3) Integration fail
RootNodes:
#1 9758-INTEG-TECHNIQUE
#2 9758-SUBSTITUTION
#3 9758-APPLICATION
Protocols:
- FENCE-9758-INTEG-25
M4) Stats fail (interpretation weakness)
RootNodes:
#1 9758-STAT-INTERPRET
#2 9758-SETUP-CORRECT
#3 9758-ASSUMPTIONS
Protocols:
- FENCE-9758-STATS-INTERPRET-25
-----------------
SCIENCE ROUTES
-----------------
S1) Concept holes (definition drift)
RootNodes:
#1 SCI-DEFINITION-LOCK
#2 SCI-CORE-IDEA
#3 SCI-REPRESENTATION (equations/graphs)
Protocols:
- FENCE-SCI-DEFINITION-LOCK-25
- FENCE-SCI-CONCEPT-LADDER-25
S2) Explanation chain collapses
RootNodes:
#1 SCI-CHAIN (principle→apply→conclude)
#2 SCI-KEYWORDS
#3 SCI-LINKER (because/therefore/so)
Protocols:
- FENCE-SCI-EXPLAIN-CHAIN-25
S3) Data handling weak
RootNodes:
#1 SCI-READ-AXES-UNITS
#2 SCI-TREND-INFER
#3 SCI-EVALUATE-ANOMALY
Protocols:
- FENCE-SCI-DATA-25
S4) Practical/design weak
RootNodes:
#1 SCI-VARIABLES
#2 SCI-CONTROLS
#3 SCI-ERRORS-IMPROVE
Protocols:
- FENCE-SCI-PRACTICAL-25
========================================================
SECTION 6 — CORE JC PROTOCOLS (RUNNABLE, 25 MIN EACH)
========================================================
GP:
FENCE-GP-CHAIN-25
- For each answer:
  1) Claim (1 line)
  2) Evidence (quote/idea from passage)
  3) Therefore (logic step)
  4) So what (implication/evaluation)
- Fail rule: no “therefore” line = redo.
FENCE-GP-AQ-CBEI-25
- 1 paragraph template:
  Claim → Because → Example (SG) → Impact
- Add counterpoint line at end.
FENCE-GP-ESSAY-SPINE-25
- Thesis lock (1 sentence)
- 3 claims, each with:
  mechanism + evidence slot + limitation
- Counterclaim + rebuttal
H2 Math (9758):
FENCE-9758-METHOD-LADDER-25
- One move at a time
- annotate purpose per line (what am I doing)
- final checkline: substitute / dimension / reasonableness
FENCE-9758-DIFF-25
- rule drill → mixed application → 1 application Q
FENCE-9758-INTEG-25
- technique selection ladder (which method) → execute → verify by differentiation
FENCE-9758-STATS-INTERPRET-25
- Setup line (what parameter?) → method → conclusion in context
Science:
FENCE-SCI-EXPLAIN-CHAIN-25
- Principle → Apply → Conclude (PAC)
- force 2 key terms + 1 “because/therefore” connector
FENCE-SCI-DATA-25
- Axes/units → trend → anomaly → conclusion
- 1 evaluation line: reliability/limitation
FENCE-SCI-PRACTICAL-25
- Variables table (IV/DV/controls)
- Error sources + improvements
- Expected trend
========================================================
SECTION 7 — EXIT CONDITIONS (WIDEN PERMISSION SYSTEM)
========================================================
WIDEN only if ALL true for 2 consecutive cycles:
GP gates:
- GP-CHAIN-10 pass twice
- GP-ESSAYPLAN-10 pass twice (no drift)
- GP-AQ-10 pass at least once
H2 Math (9758) gates:
- DIFF-10 pass twice
- INTEG-10 pass twice
- MIX-10 pass twice
- ERRFIX-10 pass at least once
Science gates (choose subject):
- CONCEPT-10 pass twice
- CHAIN-10 pass twice
- DATA-10 pass once
- PRACT-10 pass once
If any TraceMissing repeats:
- widening blocked across the whole JC engine.
========================================================
SECTION 8 — PRINTABLE JC CORE ENGINE CHECKLIST
========================================================
[JC CORE ENGINE CHECKLIST v1.0]
Week#: __   Rotation: A / B / C
GP sensors (2):
□ ______ PASS/FAIL
□ ______ PASS/FAIL
ChainMissing? □ YES □ NO
H2 Math sensors (2):
□ ______ PASS/FAIL
□ ______ PASS/FAIL
WorkingMissing? □ YES □ NO
TimeCrash? □ YES □ NO
Science sensors (2):
□ ______ PASS/FAIL
□ ______ PASS/FAIL
ExplainChainMissing? □ YES □ NO
Top3 RootNodes (across all):
#1 ____________________
#2 ____________________
#3 ____________________
Protocols to run (max 4):
□ GP: ____________________
□ GP: ____________________
□ Math: ____________________
□ Science: ____________________
Widen allowed?
□ NO (stitch only)
□ YES (add one variation step)
========================================================
END: JC Core Engine v1.0
========================================================