NODE.ID: EDUOS-MATHOS-SEC4-00
NODE.TYPE: intervention_router_level
LEVEL: secondary_4
SITE: edukatesg
PARENT.OS: EDUOS
SUBOS: MATHOS
PURPOSE: deliver_exam_grade_reliability_by_stabilising_execution_under_full_paper_constraints_and_eliminating_slips
VERSION: v0.1

DEF.SEC4_ROUTER:
  Secondary 4 is the consolidation and execution year. Topic exposure is no longer
  the bottleneck; reliability under full-paper constraints is. This node routes
  learners to stabilize mixed-topic execution, eliminate careless loss, and
  lock in exam-grade performance consistency (P3).

CAP.SEC4.T1: full_paper_routing (scan -> allocate time -> pick order)
CAP.SEC4.T2: high-integrity execution (chain stability across long papers)
CAP.SEC4.T3: slip_elimination (careless-error kill-switch)
CAP.SEC4.T4: novelty_resilience (twist classes, unfamiliar wrappers)
CAP.SEC4.T5: checking_minimum_viable_set (checks that survive time pressure)
CAP.SEC4.T6: recovery_protocols (what to do when stuck / panic spikes)
CAP.SEC4.T7: retention_lock (competence persists to exam date)
CAP.SEC4.T8: readiness_routing (E-Math only vs Add Math/IP readiness links)

FAIL.SEC4.F1: paper_pacing_collapse (time misallocation)
FAIL.SEC4.F2: sinkhole_behavior (one question consumes too much time)
FAIL.SEC4.F3: slip_density (avoidable marks lost: signs, copying, units)
FAIL.SEC4.F4: checking_death (stops checking due to fear/time)
FAIL.SEC4.F5: novelty_shock (format disrupts method selection)
FAIL.SEC4.F6: endurance_drop (accuracy falls late in paper)
FAIL.SEC4.F7: revision_noise (random practice without targeting failure modes)
FAIL.SEC4.F8: bio_load_spikes (fatigue/stress reduces reliability)

SEC4 failure is usually execution system failure, not missing content.

ROUTE.SEC4.P0: re_entry
  - restore minimum viable paper completion
  - remove avoidance; re-start practice loops safely
ROUTE.SEC4.P1: stabilise
  - reduce score variance across full papers
  - fix repeated error clusters (slip + method mis-ID)
ROUTE.SEC4.P2: seal_leaks
  - tighten time control + checking survival
  - increase novelty transfer under paper conditions
ROUTE.SEC4.P3: maintain_upgrade
  - consistent A1/A2-grade reliability
  - mastery in twist classes + low-slip execution

PROTO.SEC4.1: paper_router_protocol
  - 60s scan -> categorize questions -> choose order -> time budget
PROTO.SEC4.2: sinkhole_escape_protocol
  - trigger: stuck_time > threshold -> mark -> move -> return later
PROTO.SEC4.3: slip_elimination_firewalls
  - sign-check, unit-check, copy-check, boundary-check
PROTO.SEC4.4: checking_minimum_viable_set (MVS)
  - checks that are fast and high-yield under exam time
PROTO.SEC4.5: twist_class_library
  - common novelty wrappers mapped to core methods
PROTO.SEC4.6: endurance_training_blocks
  - long-form practice with accuracy maintenance rules
PROTO.SEC4.7: targeted_revision (failure-mode driven)
  - practice selected by FAIL codes, not by random chapters
PROTO.SEC4.8: spaced_retrieval_lock (BIOOS bridge)
  - short recall cycles + consolidation to exam date
PROTO.SEC4.9: calm_recovery_protocol (BIOOS + confidence)
  - breathing reset + re-entry script + next-step rule

SENSOR.SEC4.S1: full_paper_completion_rate
SENSOR.SEC4.S2: pacing_accuracy (time budget adherence)
SENSOR.SEC4.S3: sinkhole_count_per_paper
SENSOR.SEC4.S4: slip_density (avoidable loss per paper)
SENSOR.SEC4.S5: checking_rate (MVS usage)
SENSOR.SEC4.S6: novelty_transfer_rate (twist performance)
SENSOR.SEC4.S7: late_paper_accuracy_drop (endurance)
SENSOR.SEC4.S8: variance_across_papers (stability)
SENSOR.SEC4.S9: retention_14d_30d_to_exam

S2,S3,S4 improve + variance down + completion up => P3 execution stability

OUT.SEC4.1: consistent full-paper performance
OUT.SEC4.2: low-slip execution (marks protected)
OUT.SEC4.3: resilience to novelty wrappers
OUT.SEC4.4: stable checking under time pressure
OUT.SEC4.5: confident pacing and recovery behavior

ROUTE.DOWNSTREAM:
  - AddMath readiness (if specialization path)
  - Upper-secondary science readiness (SCIOS dependency)
  - vocational / applied maths pathways (quant readiness)
  - exam credential stabilization (implementation output)

readiness is defined by P3 reliability, not "finished syllabus"

LINK.PARENT: EDUOS-MATHOS-SEC-00
LINK.SIBLING.PREV: EDUOS-MATHOS-SEC3-00
LINK.UP: EDUOS-00, EDUOS-02, MATHOS-00
LINK.SIDE.1: LANGOS-00 (question interpretation, twist wrappers)
LINK.SIDE.2: EDUOSxBIOOS-01 (fatigue/stress/consolidation)
LINK.IMPL: EDUOS-IMPL-02 (tuition router)
LINK.NEXT.1: ADDMATHOS-00 (optional next supply line)
LINK.NEXT.2: EDUOS-MATHOS-SEC-EXAMS-00 (paper types + exam system node, optional)

LOCK:
  Secondary 4 success is execution-system stability under full-paper constraints.
  Build paper routing, sinkhole escapes, slip firewalls, and checking MVS to lock P3.
  Readiness is P3 reliability, not syllabus completion.

SERIES: EKS.SECMATH.v0_1SITE: eduKateSG.comMODE: Almost-Code / Canonical / LLM-firstCOORD_GRAMMAR:<EKS> × SECMATH × LEVEL × Z{0–3} × P{0–3} × Type × IDType = PAGE | DIR | NODE | BIND | LOOP | SENSOR | TEST | CLAIM | TOOL

PAGE: EKS.SECMATH.DIR.INDEX.v0_1TITLE: eduKateSG — Secondary Mathematics Directory IndexCONTENT:- EKS.SECMATH.DIR.LANE.v0_1- EKS.SEC1MATH.DIR.LANE.v0_1- EKS.SEC2MATH.DIR.LANE.v0_1- EKS.EMATH.DIR.LANE.v0_1- EKS.AMATH.DIR.LANE.v0_1- EKS.SECMATH.DIR.CORE_SKILLS.v0_1- EKS.SECMATH.DIR.TESTS.v0_1- EKS.SECMATH.DIR.BINDS.v0_1OUTPUT:- EKS.SECMATH.CLAIM.CANONICAL.v0_1

PAGE: EKS.SECMATH.DIR.LANE.v0_1TITLE: Secondary Mathematics (Sec 1–4) — Lane Family DirectoryMISSION:- produce P3 execution under exam load across Z0–Z3- prevent false competence (P2-looking → P0 snap)LEVELS:- SEC1MATH, SEC2MATH, EMATH, AMATHOUTPUT:- EKS.SECMATH.Z3.P3.NODE.EXAM_STABILITY.v0_1

DIR: EKS.SECMATH.DIR.CORE_SKILLS.v0_1CORE_SKILLS:- EKS.SECMATH.Z0.NODE.ALGBRA_SYMBOL_SENSE.v0_1- EKS.SECMATH.Z0.NODE.ARITHMETIC_ACCURACY.v0_1- EKS.SECMATH.Z0.NODE.FRACTIONS_RATIO_RATE.v0_1- EKS.SECMATH.Z0.NODE.EQUATIONS_INEQUALITIES.v0_1- EKS.SECMATH.Z0.NODE.GRAPHS_FUNCTIONS.v0_1- EKS.SECMATH.Z0.NODE.GEOMETRY_ANGLES.v0_1- EKS.SECMATH.Z0.NODE.TRIG_FUNDAMENTALS.v0_1- EKS.SECMATH.Z0.NODE.PROB_STATS.v0_1- EKS.SECMATH.Z0.NODE.CHECKING_ERROR_CONTROL.v0_1- EKS.SECMATH.Z0.NODE.SPEED_UNDER_TIME.v0_1RULE:These Z0 nodes are reused across all sub-lanes as dependencies.

TEST: EKS.SECMATH.TEST.P_SCORE.v0_1P0: cannot solve independently; collapses under time/noveltyP1: solves with prompts; dependency; fragile confidenceP2: solves standard formats; breaks under variation/speedP3: solves independently under time + variation; bounded error tail

SENSOR: EKS.SECMATH.SENSOR.EXECUTION.v0_1MEASURES:- independent_success_rate (no hints)- time_to_solve_tail (slow tail kills grades)- recurring_error_types (same mistake repeats)- transfer_rate (new form, same concept)- careless_rate (often not careless: weak checking)

LOOP: EKS.SECMATH.LOOP.TRUNCATE_STITCH.v0_1TRUNCATE:- stop repeated error loops early (same mistake 3×)- cut dependency (remove hints, force retrieval)STITCH:- rebuild the missing Z0 pocket- re-run under time and variationGOAL:- push P1/P2 → P3 and prevent snap collapse at exams

PAGE: EKS.SEC1MATH.DIR.LANE.v0_1TITLE: Secondary 1 Mathematics — Lane DirectoryFOCUS:- algebra entry + real numbers + foundations for all future mathZ0_NODES:- EKS.SEC1MATH.Z0.NODE.REAL_NUMBERS.v0_1- EKS.SEC1MATH.Z0.NODE.ALGEBRA_BASICS.v0_1- EKS.SEC1MATH.Z0.NODE.LINEAR_EXPRESSIONS.v0_1- EKS.SEC1MATH.Z0.NODE.BASIC_GEOMETRY.v0_1- EKS.SEC1MATH.Z0.NODE.INTRO_GRAPHS.v0_1Z1_LOOPS:- EKS.SEC1MATH.Z1.LOOP.HW_REPAIR.v0_1- EKS.SEC1MATH.Z1.LOOP.ERROR_NOTEBOOK.v0_1Z2_CONTROL:- EKS.SEC1MATH.Z2.NODE.MASTERY_SEQUENCING.v0_1Z3_OUTPUT:- EKS.SEC1MATH.Z3.P3.NODE.SEC1_FOUNDATION_LOCK.v0_1

PAGE: EKS.SEC2MATH.DIR.LANE.v0_1TITLE: Secondary 2 Mathematics — Lane DirectoryFOCUS:- algebra expansion + functions/graphs + probability/stats; pre-O-level rampZ0_NODES:- EKS.SEC2MATH.Z0.NODE.ALGEBRA_EXPANSION_FACTORISATION.v0_1- EKS.SEC2MATH.Z0.NODE.FUNCTIONS_GRAPHS.v0_1- EKS.SEC2MATH.Z0.NODE.RATIO_RATE_SPEED.v0_1- EKS.SEC2MATH.Z0.NODE.PROB_STATS_CORE.v0_1- EKS.SEC2MATH.Z0.NODE.GEOMETRY_ADVANCE.v0_1Z1_LOOPS:- EKS.SEC2MATH.Z1.LOOP.TOPICAL_VARIATION.v0_1- EKS.SEC2MATH.Z1.LOOP.SPEED_BUILD.v0_1Z2_CONTROL:- EKS.SEC2MATH.Z2.NODE.EXAM_FORMAT_TRANSFER.v0_1Z3_OUTPUT:- EKS.SEC2MATH.Z3.P3.NODE.SEC2_STABILITY_LOCK.v0_1

PAGE: EKS.EMATH.DIR.LANE.v0_1TITLE: E-Mathematics — O-Level Lane DirectoryFOCUS:- full-syllabus execution + exam strategy + speed + checkingZ0_NODES:- EKS.EMATH.Z0.NODE.ALGEBRA_SYSTEMS.v0_1- EKS.EMATH.Z0.NODE.GRAPHS_FUNCTIONS.v0_1- EKS.EMATH.Z0.NODE.GEOMETRY_TRIG.v0_1- EKS.EMATH.Z0.NODE.MENSURATION.v0_1- EKS.EMATH.Z0.NODE.PROB_STATS.v0_1- EKS.EMATH.Z0.NODE.MODELLING_WORD_PROBLEMS.v0_1Z1_LOOPS:- EKS.EMATH.Z1.LOOP.TEN_YEAR_SERIES.v0_1- EKS.EMATH.Z1.LOOP.CARELESSNESS_ZEROING.v0_1Z2_CONTROL:- EKS.EMATH.Z2.NODE.PAPER_ROUTING.v0_1  (Paper 1 vs Paper 2 tactics)Z3_OUTPUT:- EKS.EMATH.Z3.P3.NODE.OLEVEL_A1_STABILITY.v0_1

PAGE: EKS.AMATH.DIR.LANE.v0_1TITLE: A-Mathematics — O-Level Lane DirectoryFOCUS:- algebraic power + calculus + trig identities; high-precision executionZ0_NODES:- EKS.AMATH.Z0.NODE.ALGEBRA_TECHNIQUE.v0_1- EKS.AMATH.Z0.NODE.TRIG_IDENTITIES_EQUATIONS.v0_1- EKS.AMATH.Z0.NODE.LOGS_EXPONENTIALS.v0_1- EKS.AMATH.Z0.NODE.CALCULUS_DIFF.v0_1- EKS.AMATH.Z0.NODE.CALCULUS_INTEGRATION.v0_1- EKS.AMATH.Z0.NODE.PROOF_CHAINING.v0_1Z1_LOOPS:- EKS.AMATH.Z1.LOOP.SKILL_DRILLS_TO_VARIATION.v0_1- EKS.AMATH.Z1.LOOP.EXAM_SPEED_PRECISION.v0_1Z2_CONTROL:- EKS.AMATH.Z2.NODE.TOPIC_DEPENDENCY_ROUTER.v0_1Z3_OUTPUT:- EKS.AMATH.Z3.P3.NODE.OLEVEL_AMATH_A1_STABILITY.v0_1

DIR: EKS.SECMATH.DIR.TESTS.v0_1TESTS:- EKS.SECMATH.TEST.P_SCORE.v0_1- EKS.SECMATH.TEST.INDEPENDENCE.v0_1- EKS.SECMATH.TEST.SPEED_TAIL.v0_1- EKS.SECMATH.TEST.TRANSFER.v0_1- EKS.SECMATH.TEST.ERROR_REPEAT.v0_1

TEST: EKS.SECMATH.TEST.INDEPENDENCE.v0_1PASS: ≥80% correct with zero hints on mixed setFAIL: needs prompts/rescues or only works on “same-format” questions

TEST: EKS.SECMATH.TEST.SPEED_TAIL.v0_1PASS: tail time bounded (no time sink questions)FAIL: a few questions consume most time → paper collapses

DIR: EKS.SECMATH.DIR.BINDS.v0_1BINDS:- EKS.SECMATH.BIND.EDU_CORE.v0_1      TO: EDU.Z3.P3.NODE.CAPABILITY_STABILITY.v0_1- EKS.SECMATH.BIND.FAM_LOAD.v0_1      TO: FAM.Z0.NODE.HOMEWORK_SUPPORT.v0_1- EKS.SECMATH.BIND.HLT_STRESS.v0_1    TO: HLT.Z0.NODE.PATIENT_MONITORING.v0_1CLAIM:Secondary Maths stability reduces household load and prevents P0 education collapse.

CLAIM: EKS.SECMATH.CLAIM.CANONICAL.v0_1Secondary Mathematics works when Z0 execution becomes P3 under time + variation,and repair loops prevent false competence from snapping into exam collapse.