NODE.ID: BTT-EDUOS-ADDMATH-A4-A1-00
NODE.TYPE: place_implementation_child
PLACE.ID: SG-SGP-BUKITTIMAH
ORG.ID: BTT
PARENT.NODE: BTT-EDUOS-ADDMATH-A1-00
SUBOS: ADDMATHOS
STAGE: A4 (change_reasoning)
PURPOSE: stabilise_rate_of_change_reasoning_transformation_integrity_and_exam_transfer_for_differentiation_family
VERSION: v0.1

DEF.BTT_ADDMATH_A4:
  Change reasoning is the entry to modelling with "how fast things change".
  BTT trains differentiation-family execution as a structure discipline:
  identify the family, apply templates correctly, verify results, and transfer
  to exam variants under time pressure.

FAIL.A4:
  A2: structure_blindness (wrong method choice)
  A4: transformation_errors (rules misapplied)
  A1: algebra_leak_amplification (chain collapse)
  A7: verification_absence
  A8: time_pressure_chain_collapse

PROTO.A4.1: family_classifier (polynomial/product/quotient/chain)
PROTO.A4.2: rule_template_library (standard derivative rules)
PROTO.A4.3: algebra_integrity_microchecks (A0 firewall carried forward)
PROTO.A4.4: tangent_normal_modelling_protocol (interpretation + setup)
PROTO.A4.5: rate_of_change_translation (words -> dy/dx meaning)
PROTO.A4.6: verification_MVS (differentiate-back check, plausibility)
PROTO.A4.7: timed_chain_endurance (long expressions under time)
PROTO.A4.8: spaced_retrieval_lock (BIOOS)

SENSOR.A4.S1: method_misclassification_rate -> low
SENSOR.A4.S2: rule_application_accuracy -> high
SENSOR.A4.S3: algebra_leak_rate_under_pressure -> near_zero
SENSOR.A4.S4: modelling_setup_accuracy (tangent/normal/rates) -> high
SENSOR.A4.S5: verification_rate -> stable
SENSOR.A4.S6: transfer_to_variants -> high
SENSOR.A4.S7: retention_7d_14d -> stable

LOCK:
  Differentiation success is family recognition + template discipline + verification.
  BTT prevents algebra leaks from destroying long chains and trains modelling transfer.

NODE.ID: BTT-EDUOS-ADDMATH-A5-A1-00
NODE.TYPE: place_implementation_child
PLACE.ID: SG-SGP-BUKITTIMAH
ORG.ID: BTT
PARENT.NODE: BTT-EDUOS-ADDMATH-A1-00
SUBOS: ADDMATHOS
STAGE: A5 (accumulation_reasoning)
PURPOSE: stabilise_accumulation_area_reasoning_template_use_and_exam_transfer_for_integration_family
VERSION: v0.1

DEF.BTT_ADDMATH_A5:
  Accumulation reasoning models "how much has built up". BTT trains integration-family
  execution by enforcing template discipline, boundary interpretation, and validity checks,
  then transferring to exam variants (areas, totals, and reverse-change problems).

FAIL.A5:
  A2: structure_blindness (wrong method)
  A4: transformation_errors (rule misuse)
  A1: algebra_leak_amplification
  A7: verification_absence
  A5: modelling_translation_gap

PROTO.A5.1: family_classifier (standard forms + substitutions entry)
PROTO.A5.2: template_library (basic integration rules)
PROTO.A5.3: boundary_protocol (limits, intervals, interpretation)
PROTO.A5.4: area_between_curves_protocol (setup discipline)
PROTO.A5.5: units_reasonableness_checks (LANGOS bridge via meaning)
PROTO.A5.6: verification_MVS (differentiate-back + boundary sanity)
PROTO.A5.7: mixed_variants (transfer training)
PROTO.A5.8: spaced_retrieval_lock (BIOOS)

SENSOR.A5.S1: method_selection_accuracy -> high
SENSOR.A5.S2: template_accuracy -> high
SENSOR.A5.S3: boundary_setup_error_rate -> low
SENSOR.A5.S4: area_setup_accuracy -> high
SENSOR.A5.S5: verification_rate -> stable
SENSOR.A5.S6: transfer_to_variants -> high
SENSOR.A5.S7: retention_7d_14d -> stable

LOCK:
  Integration success is setup discipline (boundaries + meaning) + template execution + verification.
  BTT trains accumulation reasoning as modelling, not as symbol pushing.

NODE.ID: BTT-EDUOS-ADDMATH-A6-A1-00
NODE.TYPE: place_implementation_child
PLACE.ID: SG-SGP-BUKITTIMAH
ORG.ID: BTT
PARENT.NODE: BTT-EDUOS-ADDMATH-A1-00
SUBOS: ADDMATHOS
STAGE: A6 (optimisation)
PURPOSE: stabilise_optimisation_modelling_constraint_translation_and_exam_transfer
VERSION: v0.1

DEF.BTT_ADDMATH_A6:
  Optimisation is modelling discipline: define variables, encode constraints, build an
  objective function, then apply change reasoning reliably. BTT trains the full pipeline
  (translation -> modelling -> execution -> verification) and transfers it to exam variants.

FAIL.A6:
  A5: modelling_translation_gap (cannot form objective/constraints)
  A2: structure_blindness (does not see the modelling steps)
  A4: transformation_errors (derivative/solving mistakes)
  A7: verification_absence (no max/min check)
  A8: time_pressure_chain_collapse

PROTO.A6.1: variable_definition_protocol (units + referents)
PROTO.A6.2: constraint_encoding_protocol (equations/inequalities)
PROTO.A6.3: objective_function_build_protocol
PROTO.A6.4: optimisation_execution_template (differentiate->critical points)
PROTO.A6.5: max_min_verification (2nd derivative / endpoint / reasonableness)
PROTO.A6.6: sketching_support (shape intuition to catch errors)
PROTO.A6.7: variant_library (transfer training)
PROTO.A6.8: spaced_retrieval_lock (BIOOS)

SENSOR.A6.S1: correct_variable_definition_rate -> high
SENSOR.A6.S2: constraint_encoding_accuracy -> high
SENSOR.A6.S3: objective_function_accuracy -> high
SENSOR.A6.S4: execution_accuracy -> high
SENSOR.A6.S5: verification_rate (max/min checks) -> stable
SENSOR.A6.S6: transfer_to_variants -> high
SENSOR.A6.S7: retention_7d_14d -> stable

LOCK:
  Optimisation is modelling-first. If translation and constraints are wrong, everything fails.
  BTT forces the full pipeline and always verifies max/min under exam conditions.

NODE.ID: BTT-EDUOS-ADDMATH-A7-A1-00
NODE.TYPE: place_implementation_child
PLACE.ID: SG-SGP-BUKITTIMAH
ORG.ID: BTT
PARENT.NODE: BTT-EDUOS-ADDMATH-A1-00
SUBOS: ADDMATHOS
STAGE: A7 (mixed_modelling_transfer)
PURPOSE: lock_A1_grade_consistency_by_training_mixed_transfer_full_paper_execution_and_low_variance_performance
VERSION: v0.1

DEF.BTT_ADDMATH_A7:
  A7 is exam reality: mixed modelling, long chains, and novelty wrappers.
  BTT trains interleaving, fast structure routing, paper pacing, and verification survival
  so performance becomes low-variance and A1-consistent (P3 under full-paper constraints).

FAIL.A7:
  A6: mixed_modelling_transfer_failure
  A2: structure_blindness (wrong family)
  A8: time_pressure_chain_collapse (sinkholes)
  A7: verification_absence under time
  A1: algebra_leak_amplification reappears under stress
  A9: bio_load_variance (fatigue/stress)

PROTO.A7.1: structure_router (fast family identification)
PROTO.A7.2: interleaved_mixed_sets (transfer training)
PROTO.A7.3: novelty_inoculation (same concept, new wrapper)
PROTO.A7.4: paper_router_protocol (scan/order/time budget)
PROTO.A7.5: sinkhole_escape_protocol (stuck -> move -> return)
PROTO.A7.6: verification_MVS_survival (microchecks under time)
PROTO.A7.7: slip_elimination_firewalls (sign/copy/unit/boundary)
PROTO.A7.8: endurance_blocks (late-paper accuracy)
PROTO.A7.9: spaced_retrieval_lock_to_exam (BIOOS consolidation)
PROTO.A7.10: calm_recovery_script (stress reset)

SENSOR.A7.S1: mixed_transfer_rate -> high
SENSOR.A7.S2: structure_recognition_latency -> low
SENSOR.A7.S3: full_paper_completion_rate -> high
SENSOR.A7.S4: sinkhole_count -> low
SENSOR.A7.S5: verification_rate_under_time -> stable
SENSOR.A7.S6: slip_density -> near_zero
SENSOR.A7.S7: variance_across_papers -> low
SENSOR.A7.S8: late_paper_accuracy_drop -> low
SENSOR.A7.S9: retention_to_exam -> stable

low variance + high completion + low slip + high mixed transfer => A1 consistency

LOCK:
  A1 in Add Math is a stability state: mixed transfer + paper routing + verification survival.
  BTT trains interleaving and prevents sinkholes and leaks from reappearing under stress.