SG×EducationOS — Syllabus Lattice Starter Pack v0.1

TITLE: SG×EducationOS — Syllabus Lattice Starter Pack v0.1
SUBTITLE: Primary → Secondary (O) → JC (A) using Z0–Z6 + P0–P3 (Singapore-first)
VERSION: CivOS Unified Spec v1.x
MODE: Almost-Code / WordPress paste-ready
OWNER: eduKateSG Fence Learning Systems
PLACE: SG
UPDATED: 2026-02-16
STATUS: starter (expandable)
AUTHORITATIVE SOURCES USED (SG):
- MOE Primary subjects & syllabuses hub :contentReference[oaicite:0]{index=0}
- MOE Primary Mathematics Syllabus (P1–P6, updated Oct 2025; applicable to P6 from 2026) :contentReference[oaicite:1]{index=1}
- MOE Primary Science Syllabus (2023; May 2024 PDF) :contentReference[oaicite:2]{index=2}
- SEAB O-Level syllabuses list (2026) :contentReference[oaicite:3]{index=3}
- SEAB O-Level: English 1184, Math 4052, A-Math 4049, Physics 6091, Chemistry 6092, Biology 6093 (2026) :contentReference[oaicite:4]{index=4}
- SEAB A-Level syllabuses list (2026) + H2 Math 9758 PDF :contentReference[oaicite:5]{index=5}
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0) CORE MAP — HOW SYLLABUS BECOMES A LATTICE
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EducationOS lattice coordinate:
SG×EDU×<SubjectLane>×<Zlevel>×<Role>×<Type>×<ID>
Z-level meaning (Education-specific):
- Z0: Skill atom (micro-competence; smallest checkable unit)
- Z1: Topic cluster (syllabus strand/sub-strand)
- Z2: Task form (exam/assignment tasks; “what you must do”)
- Z3: Level syllabus container (Primary / O-Level / A-Level subject spec)
- Z4: Nation Education Stability Panel (SG outcomes + drift + safety band)
- Z5: Civilisation Regenerative Education Model (Education as HRL pipeline)
- Z6: Planner–Predictor (CareerOS + role/HGW + routing + retest engine)
P-level meaning (competence phase under load):
- P0: cannot perform reliably / breakdown under variation
- P1: can perform with scaffolding; unstable under time/variation
- P2: stable under variation + time (Gate-level; “safe band”)
- P3: fluent + transferable + can teach/diagnose (coach-level)
LOCK:
Gate = “P2 under variation + time” at required Z0 nodes.
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1) SG PRIMARY — SUBJECT CONTAINERS (Z3)
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SG×EDU×Z3×System×Container×SG-PRI-SUBJECTS-v0.1
- subjects: [English Language, Mother Tongue, Mathematics, Science, Art, Music, PE, Social Studies, CCE] :contentReference[oaicite:6]{index=6}
We start with the easiest-to-complete / highest-traffic lanes:
- English (PRI + O)
- Mathematics (PRI + O + A)
- Science (PRI + O)
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2) SG PRIMARY MATHEMATICS — LATTICE STARTER (Z3→Z0)
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Z3 container:
- id: SG×EDU×MATH×Z3×System×Syllabus×PRI-MATH-2021u2025-v0.1
  source: MOE Primary Mathematics Syllabus P1–P6 (updated Oct 2025; P6 from 2026) :contentReference[oaicite:7]{index=7}
  strands (Z1): ["Number & Algebra","Measurement & Geometry","Statistics"] :contentReference[oaicite:8]{index=8}
Z1→Z0 examples (starter atoms; expand by level later):
- SG×EDU×MATH×Z1×Learner×Strand×MATH-NA-v0.1
  -> Z0 atoms (examples):
  - SG×EDU×MATH×Z0×Learner×Atom×MATH-PLACEVALUE
  - SG×EDU×MATH×Z0×Learner×Atom×MATH-RATIO-PERCENT
  - SG×EDU×MATH×Z0×Learner×Atom×MATH-FRACTION-SENSE
- SG×EDU×MATH×Z1×Learner×Strand×MATH-MG-v0.1
  -> Z0 atoms:
  - SG×EDU×MATH×Z0×Learner×Atom×MATH-UNIT-CONVERSION
  - SG×EDU×MATH×Z0×Learner×Atom×MATH-ANGLE-REASONING
  - SG×EDU×MATH×Z0×Learner×Atom×MATH-AREA-VOLUME
- SG×EDU×MATH×Z1×Learner×Strand×MATH-STAT-v0.1
  -> Z0 atoms:
  - SG×EDU×MATH×Z0×Learner×Atom×MATH-TABLE-READ
  - SG×EDU×MATH×Z0×Learner×Atom×MATH-GRAPH-READ
  - SG×EDU×MATH×Z0×Learner×Atom×MATH-AVERAGE-SENSE
Z2 task forms (Primary math):
- SG×EDU×MATH×Z2×Learner×Task×PRI-MATH-WORDPROBLEM
- SG×EDU×MATH×Z2×Learner×Task×PRI-MATH-MODEL-DIAGRAM
- SG×EDU×MATH×Z2×Learner×Task×PRI-MATH-EXPLAIN-REASON
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3) SG PRIMARY SCIENCE — LATTICE STARTER (Z3→Z0)
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Z3 container:
- id: SG×EDU×SCI×Z3×System×Syllabus×PRI-SCI-2023-v0.1
  source: MOE Primary Science Syllabus (2023; May 2024 PDF) :contentReference[oaicite:9]{index=9}
Z1 themes (starter; expand to full map later):
- SG×EDU×SCI×Z1×Learner×Theme×SCI-THEME-CORE
  note: MOE syllabus aims include acquiring concepts + skills + values, aligned to curriculum framework domains :contentReference[oaicite:10]{index=10}
Z0 atoms (universal science gates; PSLE-stable):
- SG×EDU×SCI×Z0×Learner×Atom×SCI-OBSERVE-INFER
- SG×EDU×SCI×Z0×Learner×Atom×SCI-FAIRTEST-VARIABLES
- SG×EDU×SCI×Z0×Learner×Atom×SCI-MECHANISM-2LINK   (A→B→C)
- SG×EDU×SCI×Z0×Learner×Atom×SCI-DATA-READ-UNITS
Z2 task forms (Primary science):
- SG×EDU×SCI×Z2×Learner×Task×PRI-SCI-OPENENDED-EXPLAIN
- SG×EDU×SCI×Z2×Learner×Task×PRI-SCI-FAIRTEST-DESIGN
- SG×EDU×SCI×Z2×Learner×Task×PRI-SCI-DATA-INTERPRET
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4) SG SECONDARY (O-LEVEL) — CONTAINERS (Z3) + CORE LANES
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Z3 container hub:
- id: SG×EDU×Z3×System×Hub×OLEVEL-2026-SYLLABUSES-v0.1
  source: SEAB O-Level syllabuses list (2026) :contentReference[oaicite:11]{index=11}
We instantiate the most-used corridors first (Math/English/Sciences):
4.1 O-Level English (1184)
- id: SG×EDU×ENG×Z3×System×Syllabus×O-ENG-1184-2026-v0.1
  source: SEAB English Language 1184 (2026) :contentReference[oaicite:12]{index=12}
  Z2 task forms (high-level, exam-facing):
  - O-ENG-LISTENING
  - O-ENG-WRITING
  - O-ENG-COMPREHENSION
  - O-ENG-ORAL   (Planned Response + Spoken Interaction per syllabus description) :contentReference[oaicite:13]{index=13}
  Z0 gate atoms (starter):
  - ENG-INFER-EVIDENCE-LINE
  - ENG-PARA-COHERENCE
  - ENG-TONE-REGISTER
  - ENG-SUMMARY-PRECISION
4.2 O-Level Mathematics (4052)
- id: SG×EDU×MATH×Z3×System×Syllabus×O-MATH-4052-2026-v0.1
  source: SEAB Mathematics 4052 (2026) :contentReference[oaicite:14]{index=14}
  strands (Z1): ["Number & Algebra","Geometry & Measurement","Statistics & Probability"] :contentReference[oaicite:15]{index=15}
  Z0 gate atoms (starter):
  - MATH-ALG-LINEAR
  - MATH-FUNC-GRAPH-MEANING
  - MATH-PROB-BASE-RATE
  - MATH-STAT-INTERPRET
4.3 O-Level Additional Mathematics (4049)
- id: SG×EDU×MATH×Z3×System×Syllabus×O-AMATH-4049-2026-v0.1
  source: SEAB Additional Mathematics 4049 (2026) :contentReference[oaicite:16]{index=16}
  Z0 gate atoms (starter):
  - AMATH-ALG-MANIPULATION
  - AMATH-FUNCTIONS
  - AMATH-DIFFERENTIATION-CORE
  - AMATH-INTEGRATION-CORE
4.4 O-Level Sciences (6091/6092/6093)
- id: SG×EDU×SCI×Z3×System×Syllabus×O-PHY-6091-2026-v0.1 :contentReference[oaicite:17]{index=17}
- id: SG×EDU×SCI×Z3×System×Syllabus×O-CHEM-6092-2026-v0.1 :contentReference[oaicite:18]{index=18}
- id: SG×EDU×SCI×Z3×System×Syllabus×O-BIO-6093-2026-v0.1 :contentReference[oaicite:19]{index=19}
  shared Z0 gates (starter):
  - SCI-PLANNING-FAIRTEST
  - SCI-DATA-ANALYSIS
  - SCI-MECHANISM-EXPLAIN
  - SCI-UNITS-SIGNIFICANTFIGURES
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5) SG JC (A-LEVEL) — CONTAINERS (Z3) + H2 MATH FIRST
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Z3 container hub:
- id: SG×EDU×Z3×System×Hub×ALEVEL-2026-SYLLABUSES-v0.1
  source: SEAB A-Level syllabuses list (2026) :contentReference[oaicite:20]{index=20}
5.1 H2 Mathematics (9758) — first instantiation
- id: SG×EDU×MATH×Z3×System×Syllabus×A-H2MATH-9758-2026-v0.1
  source: SEAB H2 Mathematics 9758 syllabus PDF (2026) :contentReference[oaicite:21]{index=21}
  major strands (Z1):
  - PURE
  - PROBSTAT
  Z0 gate atoms (starter; expand from content outline):
  - H2MATH-CALCULUS-TRANSFER
  - H2MATH-VECTORS-MODEL
  - H2MATH-PROB-STAT-INFER
  - H2MATH-MULTISTEP-MODELLING
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6) Z4 PANEL + Z6 ENGINE HOOKS (so CareerOS can use SyllabusOS)
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Z4 Nation Education Stability Panel (starter shell):
- id: SG×EDU×Z4×System×Panel×SG-EDU-STABILITY-PANEL-v0.1
  inputs:
  - cohort drift signals (P0/P1 accumulation at key gates)
  - gate pass rates (P2 attainment) per subject lane
  outputs:
  - “stability band” by level (Primary / O / A)
  - priority repair gates (Top10 Z0 nodes)
Z6 Planner Hook (how to link CareerOS ↔ SyllabusOS):
- rule: Every CareerTarget CT-* must reference required syllabus Z0 atoms,
        not only generic “skills”.
- rule: For Primary, default route = PROT-OPT-PRIMARY until:
        TracePresent=yes AND 2 consecutive P2 re-tests at core gates.
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END: SG×EducationOS — Syllabus Lattice Starter Pack v0.1
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