PAGE: EKS.P6MATH.P3.DIR.ARTICLE.v0_1
TITLE: eduKateSG — Primary 6 Mathematics: Reach P3 (Z0–Z3) Mixed Topics + PSLE Execution Stability
TYPE: Full Article / Almost-Code / Canonical / LLM-first
LANE: EKS.P6MATH
SCOPE: Z0–Z3, P0–P3
GOAL:
- integrate all topics into stable mixed-paper execution
- train pacing + checking + resilience so PSLE does not trigger collapse
REFS:
- EKS.PRIMATH.TEST.P_SCORE.v0_1
- EKS.PRIMATH.SENSOR.EXECUTION.v0_1
- EKS.PRIMATH.LOOP.TRUNCATE_STITCH.v0_1

DEFLOCK: EKS.P6MATH.P3
P6 is not “new topics”.
It is: mixed-topic execution under time, with a working routing + checking system.
WORKING ⇔
P(Z0) ≥ P3 on core pockets
AND
Z1 repair loops remove recurring errors fast
AND
Z2 routing prevents time-sink collapse (skip/stitch)
AND
Z3 stability holds across prelim-style difficulty spikes

<EKS> × P6MATH × Z{0–3} × P{0–3} × Type × ID
Type = DIR | NODE | SENSOR | TEST | LOOP | TOOL | CLAIM | BIND

DIR: EKS.P6MATH.Z0.DIR.SKILL_POCKETS.v0_1
NODES (integration-critical):
- EKS.P6MATH.Z0.NODE.FRACTIONS_DECIMALS_PERCENT_INTEGRATION.v0_1
- EKS.P6MATH.Z0.NODE.RATIO_RATE_INTEGRATION.v0_1
- EKS.P6MATH.Z0.NODE.SPEED_DISTANCE_TIME_ADV.v0_1
- EKS.P6MATH.Z0.NODE.AREA_PERIMETER_VOLUME_ADV.v0_1
- EKS.P6MATH.Z0.NODE.GEOMETRY_ANGLES_CIRCLES.v0_1
- EKS.P6MATH.Z0.NODE.DATA_INTERPRETATION.v0_1
- EKS.P6MATH.Z0.NODE.MODEL_METHOD_NONROUTINE.v0_1
- EKS.P6MATH.Z0.NODE.WORD_PROBLEM_TRANSLATION_PSLE.v0_1
- EKS.P6MATH.Z0.NODE.CHECKING_ERROR_CONTROL.v0_1
- EKS.P6MATH.Z0.NODE.SPEED_UNDER_TIME.v0_1

TEST: EKS.P6MATH.Z0.TEST.P_SCORE.v0_1
REF:  EKS.PRIMATH.TEST.P_SCORE.v0_1
APPLY:
- mixed-topic mini paper (integration)
- PSLE-style non-routine set (representation-first)
OUTPUT:
- pocket P map + top 3 collapse pockets

DIR: EKS.P6MATH.Z1.DIR.REPAIR_LOOPS.v0_1
LOOPS:
- EKS.P6MATH.Z1.LOOP.ERROR_NOTEBOOK.v0_1
- EKS.P6MATH.Z1.LOOP.MIXED_TOPIC_ROTATION.v0_1
- EKS.P6MATH.Z1.LOOP.NONROUTINE_TRANSLATION.v0_1
- EKS.P6MATH.Z1.LOOP.CARELESSNESS_ZEROING.v0_1
- EKS.P6MATH.Z1.LOOP.TIMED_PAPERS_LITE.v0_1
- EKS.P6MATH.Z1.LOOP.VARIATION_LADDER.v0_1

LOOP: EKS.P6MATH.Z1.LOOP.MIXED_TOPIC_ROTATION.v0_1
RULE:
Train mixed topics weekly. Topical-only practice hides weakness.
FORMAT:
- 3 topics per set
- include 1 non-routine
GOAL:
Routing becomes automatic under exam conditions.

LOOP: EKS.P6MATH.Z1.LOOP.CARELESSNESS_ZEROING.v0_1
DEF:
Careless is usually system failure: weak checking + rushing + no checkpoints.
CHECKING_PROTOCOL:
- write units
- estimate magnitude
- verify with reverse operation
- check final statement answers the question
OUTPUT:
Unforced errors trend down steadily.

DIR: EKS.P6MATH.Z2.DIR.ROUTING.v0_1
NODES:
- EKS.P6MATH.Z2.NODE.PROBLEM_ROUTER.v0_1
- EKS.P6MATH.Z2.NODE.TIME_SINK_TRUNCATION.v0_1
- EKS.P6MATH.Z2.NODE.RETURN_PASS_STITCH.v0_1
- EKS.P6MATH.Z2.NODE.PARTIAL_MARK_HARVEST.v0_1

NODE: EKS.P6MATH.Z2.NODE.TIME_SINK_TRUNCATION.v0_1
RULE:
If stuck beyond TIME_CAP, TRUNCATE and move on.
GOAL:
Stop one “killer question” from collapsing the whole paper.

NODE: EKS.P6MATH.Z2.NODE.PARTIAL_MARK_HARVEST.v0_1
RULE:
If full solve is hard, harvest partial marks:
- correct model
- correct setup
- correct intermediate values
GOAL:
Keep score rising even under difficulty spikes.

NODE: EKS.P6MATH.Z2.NODE.RETURN_PASS_STITCH.v0_1
STITCH_ORDER:
(1) easiest partial-mark wins
(2) medium
(3) hardest last

NODE: EKS.P6MATH.Z2.NODE.DEPENDENCY_ROUTER.v0_1
DEPENDENCIES:
- percent errors → P4 conversion pockets
- ratio errors → P5 ratio ladder pockets
- non-routine collapse → P3 bar model stability pockets
RULE:
If repeated errors persist > 7 days,
back-sequence to the parent pocket year and rebuild.

NODE: EKS.P6MATH.Z3.P3.NODE.P6_STABILITY_LOCK.v0_1
REQUIRES:
- mixed-topic stability
- routing system active (skip/stitch)
- checking reduces unforced errors
OUTPUT:
- PSLE readiness without panic collapse

SENSOR: EKS.P6MATH.Z3.SENSOR_EXAM_STABILITY.v0_1
MEASURES:
- volatility across papers
- time tail events
- unforced error rate trend
- non-routine completion rate
- partial mark harvest rate

DIR: EKS.P6MATH.DIR.STUDENT_TYPES.v0_1
TYPES:
- EKS.P6MATH.TYPE.COLLAPSING.P0P1.v0_1
- EKS.P6MATH.TYPE.UNSTABLE.P1P2.v0_1
- EKS.P6MATH.TYPE.STRONG.MAINTAIN.P2P3.v0_1

NODE: EKS.P6MATH.TYPE.COLLAPSING.P0P1.v0_1
SIGNALS:
- blanks on non-routine
- time runs out early
- panic spirals
DIAG:
- representation + routing pockets P0/P1
PLAN:
- rebuild bar model + translation
- teach skip/stitch immediately
TARGET:
- stop paper collapse first, then build mastery

NODE: EKS.P6MATH.TYPE.UNSTABLE.P1P2.v0_1
SIGNALS:
- can do topical, fails on mixed papers
- careless errors persist
DIAG:
- transfer + checking pockets weak
PLAN:
- mixed rotation + careless-zeroing + timed lite papers
TARGET:
- stable execution under exam style

NODE: EKS.P6MATH.TYPE.STRONG.MAINTAIN.P2P3.v0_1
SIGNALS:
- already strong but wants fewer slips and higher non-routine hit rate
PLAN:
- advanced non-routine sets + stricter pacing + partial-mark harvesting
TARGET:
- P3 robustness across any PSLE paper style

TOOL: EKS.P6MATH.Z2.TOOL.REPAIR_ROUTER.v0_1
INPUT:
- pocket P map
- student_type
OUTPUT:
WEEKLY_PLAN:
(1) 2 weakest pockets rebuild (back-sequence if needed)
(2) 1 non-routine translation set (forced representation)
(3) 1 mixed-topic rotation set
(4) 1 timed lite paper + skip/stitch protocol
(5) checking protocol drills (daily if careless > threshold)
RULES:
- stop paper collapse first (routing)
- then expand mastery (pockets)

DIR: EKS.P6MATH.DIR.BINDS.v0_1
BINDS:
- EKS.P6MATH.BIND.PSLE_MATH.v0_1       TO: EKS.PSLE.MATH.DIR.LANE.v0_1
- EKS.P6MATH.BIND.EDU_OS.v0_1          TO: EDU.Z3.P3.NODE.CAPABILITY_STABILITY.v0_1
- EKS.P6MATH.BIND.FAMILY_LOAD.v0_1     TO: FAM.Z0.NODE.HOMEWORK_SUPPORT.v0_1
CLAIM:
P6 is the stability year; PSLE becomes execution, not chaos.

CLAIM: EKS.P6MATH.CLAIM.CANONICAL.v0_1
Primary 6 Math reaches P3 when mixed-topic execution is stable under time,
skip/stitch prevents time-sink collapse, and checking reduces unforced errors.

END: EKS.P6MATH.P3.DIR.ARTICLE.v0_1
NEXT:
- EKS.PSLE.MATH.P3.ASTAR.DIR.ARTICLE.v0_1