TITLE:
BukitTimahTutor Secondary Additional Mathematics Control Tower v1.0 (Bukit Timah OS Local Runtime)
SLUG:
bukit-timah-secondary-additional-mathematics-control-tower-v1-0
VERSION:
BT_SEC_AMATH_CT_v1_0
MODE:
Almost-Code / LLM-first / WordPress paste-ready
SCALE:
Human + District (Z0–Z2 execution) + National Exam Bind (Z6 external node)
DOMAIN:
EducationOS + TuitionOS + MathOS (Additional Mathematics lane)
CHRONOFLIGHT_LENS:
Structure × Phase × Time
(Time slices = weekly; Exam approach = quarterly→monthly→weekly→daily)
PRIMARY_LOCAL_NODE:
BT.EDU.Z1.N.TUI.001
CONTROL_TOWER_COORDINATE:
BT.EDU.Z1.S.CTW.MTH.AM.001
EXTERNAL_EXAM_NODE (bind target; do not rename):
SG.EDU.Z6.N.EXM.SEC.001
SEC_SUBJECT_BIND (2027 SEC, G3 Additional Mathematics):
SG.EDU.Z6.SYL.SEC.G3.AM.K341
SUBJECT_CODE_LOCK:
- SEC G3 Additional Mathematics Syllabus Code: K341
- Legacy reference code (pre-SEC): 4049
================================================================================
0) CANONICAL FRAMING BOX
================================================================================
PLACE: BT
LANE: EDU
SUBJECT: Additional Mathematics (G3)
ZOOM_BANDS:
- Z0 = micro-skill (algebra step, identity move, calculus chain-link)
- Z1 = learner execution + timed landings
- Z2 = district load coupling (school/CCA/TTC/buffer)
PHASE GAUGE:
P0 random | P1 scaffolded | P2 independent | P3 timed-robust + variant-proof
GOAL STATE:
P3 reliability on both papers (timed) + self-audit reflex + low drift velocity
================================================================================
1) CIVILISATION-GRADE DEFINITION (LOCK)
================================================================================
DEFINITION:
BukitTimahTutor Additional Mathematics Control Tower is a closed-loop flight-control
system that turns “topic knowledge” into SEC-grade exam reliability by:
(1) instrumenting algebra-chain integrity (the A-Math kernel),
(2) detecting drift early (before the chain breaks under time),
(3) routing repairs into the smallest executable Z0 corridor,
(4) proving landing under timer repeatedly (Paper-slice landings),
(5) maintaining returns on D+1/D+3/D+7/D+14/D+30,
while keeping family buffer (sleep/TTC/overload) inside a safe envelope.
================================================================================
2) SEC EXAM ALIGNMENT (K341) — SCHEME OF ASSESSMENT LOCK
================================================================================
ID: BT_AMATH_SEC_ASSESSMENT_LOCK_01
PAPER_MODEL:
Paper 1:
- duration: 2h 15m
- questions: ~12–14 (varying marks)
- answer: ALL
- marks: 90
- weight: 50%
Paper 2:
- duration: 2h 15m
- questions: ~9–11 (varying marks)
- answer: ALL
- marks: 90
- weight: 50%
MARKING_RULE (operator warning):
Omission of essential working loses marks.
(So “answer-only practice” is a failure mode.)
CALCULATOR_RULE:
Approved calculator allowed in both papers.
================================================================================
3) WHAT THE SYLLABUS REALLY IS (STRANDS + OBJECTIVES)
================================================================================
ID: BT_AMATH_SYLLABUS_SPINE_01
STRANDS (3):
- Algebra
- Geometry & Trigonometry
- Calculus
ASSUMPTION:
G3 Additional Mathematics assumes knowledge of G3 Mathematics.
ASSESSMENT OBJECTIVES (AO) + WEIGHTS:
AO1 Standard techniques (recall, procedures, read tables/graphs/diagrams)  : 35%
AO2 Solve problems in contexts (translate, connect topics, model, interpret): 50%
AO3 Reason + communicate (justify, explain, arguments/proofs)              : 15%
CONTROL IMPLICATION:
If your system trains only AO1, you will lose half the exam (AO2).
================================================================================
4) AMATH-SPECIFIC METRICS (CONTROL TOWER SENSORS)
================================================================================
ID: BT_AMATH_CT_METRICS_01
CORE SPINE (compatible with your BT Secondary Math CT):
- ESS_am (0–100)     : A-Math Stability Score
- ESSam_Δ            : weekly drift velocity
- ECI_am             : error clustering index (repeat buckets)
- TR_am              : transfer ratio (unfamiliar variant / familiar)
- LCR_am             : load collapse ratio (timed / untimed)
- PB_am              : pace budget (minutes margin or deficit)
- HY_am              : hysteresis (days to recover after stress)
- TTC_am, Θ_am, Λ_am : time-to-threshold + irreversibility + enforcement lag
AMATH LEAF SENSORS (Z0–Z3):
AL_K (Algebra Kernel Integrity):
- expand/factorise/transposition/surds/partial fractions chains survival
QF (Quadratic Function Control):
- complete-square, discriminant conditions, modeling
PF (Polynomial Fluency):
- factor/remainder theorem, cubic roots, structure spotting
BN (Binomial Control):
- general term + coefficient targeting
EL (Exp/Log Control):
- laws + solving + graph sense + modeling
TRIG (Trig Identity & Equation Control):
- identities, transformations, equation solving in intervals, proof snippets
CG (Coordinate Geometry Control):
- lines + circles + linearisation tasks
GEO_PR (Geometry Proof Chain):
- congruence/similarity/circle theorems/tangent chord/midpoint theorem
CALC (Calculus Core):
- differentiation rules (incl. chain rule), applications (max/min, rate),
- integration basics (standard forms), definite integral as area
RC (Reason+Communication):
- “write it so examiner can award marks” (AO3 survival)
RE_am (Representation / Translation):
- word → equations/diagrams/models (AO2 survival)
================================================================================
5) CORE LAWS (AMATH CONTROL INEQUALITIES)
================================================================================
ID: BT_AMATH_CT_LAWS_01
LAW_01 (Timed truth):
If timed collapses, stability is not real. (LCR_am is king.)
LAW_02 (Kernel dominance):
If Algebra Kernel breaks, everything downstream breaks.
LAW_03 (AO2 dominance):
AO2 weight is largest → train translation + connection + modeling weekly.
LAW_04 (Proof rent):
You must pay “working rent” to the examiner (RC), or you leak marks.
CORE INEQUALITY:
R_am ≥ D_am · L
subject to:
(Θ_am ≥ 1) and (PB_am ≥ PB_min) and (AL_K ≥ K_min)
FENCE OVERRIDE:
If Θ_am < 1 OR TTC_am ≤ 6 weeks → truncate+stitch only (no new topic binge).
================================================================================
6) YEAR-BY-YEAR RUNTIME (SEC 3 → SEC 4)
================================================================================
ID: BT_AMATH_YEAR_GATES_01
SEC_3 (Onboarding + Kernel Build)
Goal:
- Build Algebra Kernel + Trig basics + entry Calculus without panic
Minimum viable outcomes by end Sec 3:
- AL_K stable (daily discipline)
- TRIG stable on identities + equations-in-interval
- CALC: derivative meaning + basic rules + simple applications
Flight rule:
- Never trade sleep/buffer to “finish topics” (drift debt explodes next year)
SEC_4 (Exam Reliability / Full-Paper Flight)
Goal:
- Paper-slice landings weekly → full paper repeatable near exam
Minimum viable outcomes by exam approach:
- PB_am stable (time budget)
- LCR_am stable (timed truth)
- ECI_am trending down (repeat bucket elimination)
- RC reflex installed (working shown)
================================================================================
7) THE AMATH FLIGHT LOOP (Z0 TRUNCATE + STITCH)
================================================================================
ID: BT_AMATH_Z0_LOOP_01
LOOP:
1) Sense: identify the exact chain-link that failed (not “the topic”)
2) Classify corridor:
   {concept | method | recall | translation | chain-break | speed | stress | proof-writing}
3) Micro-repair:
   - 1 clean worked example (with “why”)
   - 3 near reps
   - 3 variant reps
   - 1 anti-trap rep
4) Landing proof:
   - timed 12–18 min slice OR 1 structured question under strict marking
5) Maintenance returns:
   D+1 / D+3 / D+7 / D+14 / D+30 (retrieval-first, 5–12 min)
RULE:
No repair counts unless it survives a timer.
================================================================================
8) THE ONE-PAGE PANEL (WHAT THE TUTOR SEES WEEKLY)
================================================================================
ID: BT_AMATH_PANEL_01
A) FLIGHT STATUS:
Phase + RouteState + TTC_am + Θ_am + Λ_am
B) STABILITY:
ESS_am + ESSam_Δ + LCR_am + PB_am + TR_am
C) DRIFT DRIVERS:
Top 3 ECI_am buckets (repeat errors)
Which leaf sensor is red? (AL_K/TRIG/CALC/RE_am/RC)
D) THIS WEEK’S Z0 QUEUE (Top 5):
micro-skill | corridor | repair route | retest date
E) OUTPUTS:
- 1 timed paper-slice landing
- 1 AO2 translation lab (see below)
- 3 maintenance returns
- 1 mixed-switching set (algebra↔trig↔calc)
================================================================================
9) AO2 TRANSLATION LAB (MANDATORY, WEEKLY)
================================================================================
ID: BT_AMATH_AO2_LAB_01
FORMAT (12–18 min):
Given 6 contextual/novel questions:
- write the model (equations/diagram/definitions)
- state the method choice
- only then solve
SCORE:
AO2_ready = (correct model + correct method) / 6
RULE:
If AO2_ready < 0.67 → stop “hard questions” and rebuild modeling.
================================================================================
10) NEGATIVE VOID (AMATH-SPECIFIC FAILURE MODES)
================================================================================
ID: BT_AMATH_NEGVOID_01
NV_01: Algebra Kernel fracture
Signature: long chains collapse, silly slips cascade, panic rises
Fix: daily kernel + micro-landings + remove overload
NV_02: Identity memorisation (no structure)
Signature: knows formulas but cannot transform or prove
Fix: “why this identity works” + transformation ladders
NV_03: Calculus is mechanical
Signature: can differentiate but cannot interpret gradient/rate/max-min
Fix: meaning-first + application-first + graph linkage
NV_04: AO2 blindspot
Signature: routine ok, unfamiliar context fails
Fix: translation lab weekly + modeling-first discipline
NV_05: Working rent unpaid
Signature: gets “right idea” but loses marks for missing steps
Fix: RC templates + strict marking + rewrite weakest solution
================================================================================
11) VERSION LOCK
================================================================================
BT_SEC_AMATH_CT_v1_0
- forward-only upgrades
- keep IDs stable
- bind to SG.EDU.Z6.N.EXM.SEC.001 and SG.EDU.Z6.SYL.SEC.G3.AM.K341
END.

================================================================================
CHILD PAGE 1/2 (SEC 3) — A-MATH ONBOARDING CONTROL TOWER
================================================================================
TITLE:
BukitTimahTutor Sec 3 Additional Mathematics Control Tower v1.0 (Bukit Timah OS)
SLUG:
bukit-timah-sec-3-additional-mathematics-control-tower-v1-0
VERSION:
BT_SEC3_AMATH_CT_v1_0
PARENT_PAGE:
BT_SEC_AMATH_CT_v1_0  (Bukit Timah Secondary A-Math Control Tower Root)
CONTROL_TOWER_COORDINATE (child):
BT.EDU.Z1.S.CTW.MTH.AM.S3.001
ATTACHED_TO:
BT.EDU.Z1.N.TUI.001
EXTERNAL_EXAM_NODE (bind target; do not rename):
SG.EDU.Z6.N.EXM.SEC.001
SEC_SUBJECT_BIND (syllabus lock):
SG.EDU.Z6.SYL.SEC.G3.AM.K341
LOCAL_BINDS (Bukit Timah OS coupling):
- BT.FAM.Z0.S.TTC.001
- BT.FAM.Z0.P.LIF.001
- BT.TRN.Z2.B.MRT.DTL.06A
- BT.TRN.Z2.B.MRT.DTL.07A
- BT.EDU.Z2.N.SEC.001
- BT.EDU.Z2.P.SCH.001
SCOPE:
Secondary 3 A-Math onboarding year (kernel build + anti-panic fencing)
================================================================================
A) CANONICAL FRAMING BOX (SEC 3 A-MATH)
================================================================================
PHASE TARGET (end Sec 3):
P2 on Algebra Kernel + P1→P2 on core strands (Trig + entry Calculus)
RUNTIME WARNING:
Sec 3 A-Math failure is usually NOT “hard questions”.
It is:
- chain-breaks (AL_K)
- speed collapse under multi-step
- identity memorisation without transforms
- buffer cannibalisation (sleep/TTC collapse)
PRIMARY CONTROL OBJECT:
Prevent “Split Collapse”:
Keep E-Math stable while onboarding A-Math without burning buffer.
================================================================================
B) SEC 3 A-MATH DEFINITION (LOCK)
================================================================================
DEFINITION:
Sec 3 A-Math Control Tower is a bifurcation-safe onboarding system that
(1) builds Algebra Kernel integrity as the operating system,
(2) controls novelty injection (ρ) to avoid panic + drift debt,
(3) proves micro-landings under short timers,
(4) installs maintenance returns early, so Sec 4 becomes reliability engineering
instead of emergency repair.
================================================================================
C) SEC 3 METRIC WEIGHTS (ESS_am specialization)
================================================================================
ID: BT_AMATH_CT_ESS_WEIGHTS_S3_01
ESS_am is dominated by kernel survival and chain integrity.
SEC 3 DEFAULT WEIGHTS:
w_AL_K = 0.30   # Algebra Kernel Integrity
w_WB   = 0.16   # Working Bandwidth (multi-step chain survival)
w_TRIG = 0.12
w_CALC = 0.10
w_REam = 0.10   # translation/modeling (AO2 onboarding early)
w_AC   = 0.08   # audit/checking
w_TR   = 0.08   # transfer ratio
w_LCR  = 0.06   # timed truth (short slices)
(CE + ECI_am used as penalties)
PENALTIES:
- If ECI_am rising 2 consecutive weeks: -6
- If CE > 0.28: -6
- If AO_am triggered (avoidance onset): -10
SEC 3 PHASE BANDS:
P0: ESS_am < 35 OR cannot finish 6–8 mark chain without collapse
P1: 35–59 with scaffolds; chain-break frequent; timer causes panic
P2: 60–79 independent on kernel + common chains; short timed landings pass
P3: 80+ stable mixed (rare in Sec 3; not required)
FENCE OVERRIDE:
If AL_K is red → freeze new topic onboarding; repair kernel only.
================================================================================
D) SEC 3 “KERNEL PACK” (THE NON-NEGOTIABLE FOUNDATION)
================================================================================
ID: BT_AMATH_KERNEL_PACK_S3_01
KERNEL_PRIMITIVES (daily discipline, 10–15 min):
- Indices laws (transform + simplify)
- Surds (rationalise + simplify + combine)
- Algebraic manipulation (expand/factorise/complete-square)
- Fractions-in-algebra (common denominator survival)
- Linear & quadratic equations (solve + condition)
- Basic functions language (domain/range, graph sense)
- Log/exp laws (transform + solve) [as introduced]
- Identity transforms (rewrite into target form)
KERNEL RULE:
If you cannot do the kernel fast and clean,
every later topic becomes slow, error-prone, and stressful.
================================================================================
E) SEC 3 ONBOARDING ROUTE (NOVELTY CONTROL)
================================================================================
ID: BT_AMATH_ONBOARDING_ROUTE_S3_01
NOVELTY INJECTION:
ρ = (new_concepts + new_variants + new_time_pressure) / capacity
SAFE BAND:
ρ ≤ ρ_max(S3) = 0.55
If ρ > ρ_max:
- reduce new topics
- increase maintenance returns
- tighten problem set to “one axis at a time”
ONBOARDING ORDER (recommended):
1) Algebra Kernel (continuous)
2) Functions + Quadratics (as control language)
3) Trig foundations + identities as transforms (not memorised blocks)
4) Entry calculus (meaning-first): gradient, rate, max/min narrative
5) Integration (standard forms only; meaning as area later)
================================================================================
F) SEC 3 SESSION SOP (operator, Bukit Timah high-load profile)
================================================================================
ID: BT_AMATH_SESSION_SOP_S3_01
SESSION (90 min preferred):
1) Kernel Retrieval (12–15)        -> timed micro (no notes)
2) Teach (20)                      -> one chain-link mechanism
3) Guided Ladder (25)              -> remove prompts gradually
4) Timed Slice Landing (20–25)     -> 10–15 marks equivalent
5) Error Log + Z0 Queue (10)
HOME OUTPUT (minimum viable):
- Kernel daily (10–15 min)
- 3 maintenance returns (5–10 min)
- 1 timed slice landing (15–20 min)
- 1 AO2 mini-translation (10–12 min) [model first, solve second]
================================================================================
G) AO2 EARLY-INSTALL (MODEL FIRST, SOLVE SECOND)
================================================================================
ID: BT_AMATH_AO2_EARLY_S3_01
AO2_MINI_LAB (weekly, 12 min):
Given 4 questions:
- write the model / diagram / definitions
- choose method
- write first 10 seconds
- solve only after model is correct
AO2_ready = (correct model + correct method)/4
If AO2_ready < 0.67:
- stop “hard practice”
- rebuild translation + method signal
================================================================================
H) NEGATIVE VOID TRIGGERS (SEC 3)
================================================================================
ID: BT_AMATH_NEGVOID_S3_01
NV_S3_01: Kernel fracture
Signature: chain-break, careless cascade, panic spikes
Action: kernel-only week + micro-landings + strict marking
NV_S3_02: Identity memorisation trap
Signature: knows identities but cannot transform into target form
Action: transform ladders + “rewrite to match” drills
NV_S3_03: Calculus is mechanical
Signature: can differentiate but cannot interpret rate/max-min
Action: meaning-first tasks + graph linkage + applications
NV_S3_04: Split collapse (E-Math drops after A-Math starts)
Signature: E-Math ESS falls, sleep drops, TTC friction rises
Action: fence A-Math (narrow corridor), protect base maintenance
================================================================================
I) CHRONOFLIGHT OVERLAY BLOCK (SEC 3)
================================================================================
ID: BT_AMATH_CF_OVERLAY_S3_01
TIME_SLICE: Week k
ROUTE_STATE: {climb | stable | drift | corrective | descent}
PRIMARY_DRIFT: {kernel fracture | chain-break | overload | identity trap | AO2 blind}
PRIMARY_REPAIR: {truncate+stitch | timed slice landing | kernel returns | load trim}
BUFFER_STATUS: {thin | medium | thick}
NEXT_SLICE_RISK: {low | medium | high}
ACTION: {one-line directive}
================================================================================
CANONICAL PLACEMENT FOOTER
================================================================================
Child runtime of BT_SEC_AMATH_CT_v1_0
Child coordinate BT.EDU.Z1.S.CTW.MTH.AM.S3.001
END.

================================================================================
CHILD PAGE 2/2 (SEC 4) — SEC FINAL APPROACH CONTROL TOWER (K341)
================================================================================
TITLE:
BukitTimahTutor Sec 4 Additional Mathematics SEC Final Approach Control Tower v1.0
SLUG:
bukit-timah-sec-4-additional-mathematics-sec-final-approach-control-tower-v1-0
VERSION:
BT_SEC4_AMATH_SEC_FINAL_CT_v1_0
PARENT_PAGE:
BT_SEC_AMATH_CT_v1_0
CONTROL_TOWER_COORDINATE (child):
BT.EDU.Z1.S.CTW.MTH.AM.S4.001
ATTACHED_TO:
BT.EDU.Z1.N.TUI.001
EXTERNAL_EXAM_NODE (bind target; do not rename):
SG.EDU.Z6.N.EXM.SEC.001
SEC_SUBJECT_BIND (syllabus lock):
SG.EDU.Z6.SYL.SEC.G3.AM.K341
SCOPE:
Secondary 4 A-Math: SEC-grade timed reliability on both papers (Paper 1 + Paper 2)
================================================================================
A) CANONICAL FRAMING BOX (SEC 4 FINAL APPROACH)
================================================================================
SEC 4 IS NOT “LEARN MORE TOPICS”.
SEC 4 IS:
- timed landings → paper slicing → full paper repeatability
- pace budget (PB_am)
- audit reflex (AC/RC)
- repeat-bucket elimination (ECI_am trending down)
- near-node compression management (TTC shrinks; exits close)
TARGET:
P3 corridor reliability under SEC conditions.
================================================================================
B) SEC EXAM CONSTRAINTS (K341) — HARD LOCKS
================================================================================
ID: BT_AMATH_SEC_CONSTRAINTS_K341_01
SCHEME OF ASSESSMENT (do not drift):
Paper 1: 2h 15m, 90 marks, answer ALL, 12–14 questions (up to 10 marks each), 50%
Paper 2: 2h 15m, 90 marks, answer ALL, 9–11 questions (up to 12 marks each), 50%
MARKING RENT:
Omission of essential working → loss of marks.
CALCULATOR:
Approved calculator may be used in both papers.
AO WEIGHTS (control priority):
AO1 35% | AO2 50% | AO3 15%
================================================================================
C) SEC 4 METRIC WEIGHTS (ESS_am specialization)
================================================================================
ID: BT_AMATH_CT_ESS_WEIGHTS_S4_01
SEC 4 DEFAULT WEIGHTS:
w_LCR = 0.22   # timed truth (dominant)
w_PB  = 0.16   # pace budget
w_ECI = 0.12   # repeat-bucket elimination
w_RC  = 0.12   # reasoning/communication = working rent
w_TR  = 0.12   # transfer ratio
w_AL_K= 0.10   # kernel must remain green
w_AC  = 0.08   # audit/checking
w_REam= 0.08   # translation/modeling
PHASE BANDS (SEC 4):
P0: ESS_am < 50 OR cannot finish exam slices
P1: 50–72 partial stability; repeat drift; PB unstable; RC weak
P2: 73–86 stable on timed slices; full papers inconsistent
P3: 87+ repeatable full-paper stability + audit + RC maintained
FENCE OVERRIDE (near node):
If Θ_am < 1 OR TTC_am ≤ 6 weeks → truncate+stitch only (no new topic binge).
================================================================================
D) FINAL APPROACH TIMELINE (EXAM WINDOW BIND)
================================================================================
ID: BT_AMATH_FINAL_APPROACH_TIMELINE_01
SEC WRITTEN EXAM WINDOW (system bind):
- English + MTL written exams: September
- Other written subjects (incl. A-Math): October–November
- Results release: January (following year)
CONTROL IMPLICATION:
A-Math peak reliability window must be built BEFORE October.
================================================================================
E) PAPER SLICING ENGINE (THE RELIABILITY MACHINE)
================================================================================
ID: BT_AMATH_PAPER_SLICING_ENGINE_S4_01
SLICES (weekly):
SliceType A (15–20 min): 10–15 marks, one chain-dense question
SliceType B (25–35 min): 20–30 marks, mixed switching
SliceType C (60–75 min): half-paper simulation
Full Paper (135 min): Paper 1 or Paper 2 (alternating)
DEFAULT PROGRESSION:
- Early Sec 4: A + B weekly
- Mid Sec 4: B + C weekly
- Final 10–12 weeks: full paper weekly (sometimes 2) + targeted slices
LANDING PROOF RULE:
A skill is not “fixed” unless it survives a timer AND strict marking.
================================================================================
F) THE STRICT MARKING / WORKING RENT SOP
================================================================================
ID: BT_AMATH_STRICT_MARKING_S4_01
MARKING:
- mark with scheme discipline: method marks require visible working
- penalise missing transformations even if final answer correct
- tag each error into one bucket:
  {concept | method | recall | translation | chain-break | speed | stress | working-rent | careless}
REWRITE RULE:
Each week rewrite the single worst solution (RC training):
- rewrite must be “examiner-awardable”
================================================================================
G) ECI_am (REPEAT BUCKET ELIMINATION RULE)
================================================================================
ID: BT_AMATH_ECI_ELIMINATION_S4_01
ECI_am = repeated_errors_in_top3 / total_errors
RULE:
Repair only TOP 2 buckets per week.
(Over-repair = overload = new drift.)
OUTPUT:
- TOP 2 buckets
- Z0 micro-repairs (5–15 min)
- D+1/D+3/D+7 returns scheduled
================================================================================
H) AO2 DOMINANCE MODULE (50% OF EXAM)
================================================================================
ID: BT_AMATH_AO2_DOMINANCE_S4_01
AO2_WEEKLY_LAB (18 min):
Given 6 questions:
1) model/diagram/definitions
2) choose method
3) solve
4) interpret result in context
AO2_ready = (correct model + correct method)/6
If AO2_ready < 0.67:
- stop “hard papers”
- rebuild modeling + method signal
================================================================================
I) SEC 4 SESSION SOP (operator)
================================================================================
ID: BT_AMATH_SESSION_SOP_S4_01
SESSION (90–120 min):
1) Retrieval Warm-Up (10)          -> kernel + past error buckets
2) Repair TOP 2 buckets (20–25)    -> truncate+stitch
3) Timed Slice / Half Paper (45–75)-> PB + RC enforced
4) Strict Mark + Log (15–20)       -> ECI_am update, returns scheduled
HOME OUTPUT:
- 1 timed slice OR 1 full paper (as scheduled)
- 3 maintenance returns (5–10 min)
- 1 AO2 lab (18 min)
- 1 rewrite of worst solution (RC rent)
================================================================================
J) NEGATIVE VOID TRIGGERS (SEC 4 NEAR-NODE COMPRESSION)
================================================================================
ID: BT_AMATH_NEGVOID_S4_01
NV_S4_01: Near-node debt
Signature: TTC short, Θ_am < 1, still “learning new chapters”
Action: emergency truncate+stitch; stop novelty; only mark-lifting repairs
NV_S4_02: Pace collapse
Signature: PB_am negative; last-third accuracy degrades
Action: slice training + pacing protocol + buffer rebuild
NV_S4_03: Working-rent leak
Signature: ideas ok; marks lost to missing steps
Action: RC templates + rewrite rule + strict marking only
NV_S4_04: Bukit Timah overload spiral
Signature: sleep down; AO triggers; ESSam_Δ negative
Action: load trim + protect maintenance + smaller proofs, more returns
================================================================================
K) CHRONOFLIGHT OVERLAY BLOCK (SEC 4)
================================================================================
ID: BT_AMATH_CF_OVERLAY_S4_01
TIME_SLICE: Week k
ROUTE_STATE: {climb | stable | drift | corrective | descent}
PRIMARY_DRIFT: {timed collapse | pace deficit | repeat bucket | working-rent leak | overload}
PRIMARY_REPAIR: {truncate+stitch | paper slicing | strict marking + rewrite | maintenance returns | load trim}
BUFFER_STATUS: {thin | medium | thick}
NEXT_SLICE_RISK: {low | medium | high}
ACTION: {one-line directive}
================================================================================
CANONICAL PLACEMENT FOOTER
================================================================================
Child runtime of BT_SEC_AMATH_CT_v1_0
Child coordinate BT.EDU.Z1.S.CTW.MTH.AM.S4.001
END.