MOE’s Primary Mathematics syllabus is organised around Number and Algebra, Measurement and Geometry, and Statistics. The 2021 Primary Mathematics syllabus applies fully to Primary 6 from 2026, and PSLE Mathematics remains a 100-mark exam across Paper 1 and Paper 2. (Ministry of Education)
PUBLIC.ID:BTT.PRIMARY.MATH.TUITION.REGISTRY.v1.0MACHINE.ID:BTT.PRIMARY.PSLE.MATHEMATICS.TUITION.REG.v1.0LATTICE.CODE:LAT.BTT.MATH.TUITION.S2-S3.P1-P4.Z1-Z2.T3-T9
A. Primary 1–6 Tuition IDs
| Level | PUBLIC.ID | MACHINE.ID | LATTICE.CODE |
|---|---|---|---|
| Primary 1 Mathematics Tuition | BTT.PRI.MATH.01.P1 | BTT.TUITION.P1.MATH.v1.0 | LAT.BTT.MATH.S2.P1-P2.Z1.T3-T4 |
| Primary 2 Mathematics Tuition | BTT.PRI.MATH.02.P2 | BTT.TUITION.P2.MATH.v1.0 | LAT.BTT.MATH.S2.P1-P2.Z1.T4-T5 |
| Primary 3 Mathematics Tuition | BTT.PRI.MATH.03.P3 | BTT.TUITION.P3.MATH.v1.0 | LAT.BTT.MATH.S2.P2-P3.Z1.T5-T6 |
| Primary 4 Mathematics Tuition | BTT.PRI.MATH.04.P4 | BTT.TUITION.P4.MATH.v1.0 | LAT.BTT.MATH.S2.P2-P3.Z1-Z2.T6-T7 |
| Primary 5 Mathematics Tuition | BTT.PRI.MATH.05.P5 | BTT.TUITION.P5.MATH.v1.0 | LAT.BTT.MATH.S2-S3.P3-P4.Z2.T7-T8 |
| Primary 6 Mathematics Tuition | BTT.PRI.MATH.06.P6 | BTT.TUITION.P6.MATH.v1.0 | LAT.BTT.MATH.S3.P3-P4.Z2.T8-T9 |
| PSLE Mathematics Preparatory Tuition | BTT.PRI.MATH.07.PSLE.PREP | BTT.TUITION.PSLE.MATH.PREP.v1.0 | LAT.BTT.MATH.S3.P3-P4.Z2.T8-T9 |
B. Core Route Codes
| Route | PUBLIC.ID | MACHINE.ID | LATTICE.CODE |
|---|---|---|---|
| Lower Primary Foundation Route | BTT.PRI.MATH.R01.LOWER.FOUNDATION | BTT.PRI.MATH.LOWER.FOUNDATION.v1.0 | LAT.BTT.MATH.S2.P1-P2.Z1.T3-T5 |
| Middle Primary Concept Route | BTT.PRI.MATH.R02.MIDDLE.CONCEPT | BTT.PRI.MATH.MIDDLE.CONCEPT.v1.0 | LAT.BTT.MATH.S2.P2-P3.Z1.T5-T7 |
| Upper Primary Heuristics Route | BTT.PRI.MATH.R03.UPPER.HEURISTICS | BTT.PRI.MATH.UPPER.HEURISTICS.v1.0 | LAT.BTT.MATH.S2-S3.P3-P4.Z2.T7-T9 |
| PSLE AL1 Route | BTT.PRI.MATH.R04.PSLE.AL1 | BTT.PSLE.MATH.AL1.ROUTE.v1.0 | LAT.BTT.MATH.S3.P4.Z2.T9 |
| PSLE Foundation Repair Route | BTT.PRI.MATH.R05.PSLE.REPAIR | BTT.PSLE.MATH.REPAIR.ROUTE.v1.0 | LAT.BTT.MATH.REPAIR.P1-P3.Z2.T8-T9 |
C. Topic Node Codes
| Topic Node | PUBLIC.ID | MACHINE.ID | LATTICE.CODE |
|---|---|---|---|
| Whole Numbers | BTT.PRI.MATH.N01.WHOLE.NUMBERS | BTT.PRI.NODE.WHOLENUM.v1.0 | LAT.BTT.MATH.NODE.NUM.P1-P4.Z1-Z2 |
| Fractions | BTT.PRI.MATH.N02.FRACTIONS | BTT.PRI.NODE.FRACTIONS.v1.0 | LAT.BTT.MATH.NODE.FRAC.P2-P4.Z1-Z2 |
| Decimals | BTT.PRI.MATH.N03.DECIMALS | BTT.PRI.NODE.DECIMALS.v1.0 | LAT.BTT.MATH.NODE.DEC.P2-P4.Z1-Z2 |
| Percentage | BTT.PRI.MATH.N04.PERCENTAGE | BTT.PRI.NODE.PERCENT.v1.0 | LAT.BTT.MATH.NODE.PCT.P3-P4.Z2 |
| Ratio | BTT.PRI.MATH.N05.RATIO | BTT.PRI.NODE.RATIO.v1.0 | LAT.BTT.MATH.NODE.RATIO.P3-P4.Z2 |
| Measurement | BTT.PRI.MATH.N06.MEASUREMENT | BTT.PRI.NODE.MEASURE.v1.0 | LAT.BTT.MATH.NODE.MEAS.P2-P4.Z1-Z2 |
| Geometry | BTT.PRI.MATH.N07.GEOMETRY | BTT.PRI.NODE.GEOMETRY.v1.0 | LAT.BTT.MATH.NODE.GEO.P2-P4.Z1-Z2 |
| Area and Volume | BTT.PRI.MATH.N08.AREA.VOLUME | BTT.PRI.NODE.AREAVOL.v1.0 | LAT.BTT.MATH.NODE.AV.P3-P4.Z2 |
| Data / Statistics | BTT.PRI.MATH.N09.DATA.STAT | BTT.PRI.NODE.DATASTAT.v1.0 | LAT.BTT.MATH.NODE.STAT.P2-P4.Z2 |
| Word Problems | BTT.PRI.MATH.N10.WORD.PROBLEMS | BTT.PRI.NODE.WORDPROB.v1.0 | LAT.BTT.MATH.NODE.WP.P2-P4.Z2 |
| Heuristics | BTT.PRI.MATH.N11.HEURISTICS | BTT.PRI.NODE.HEURISTICS.v1.0 | LAT.BTT.MATH.NODE.HEUR.P3-P4.Z2 |
| Model Method | BTT.PRI.MATH.N12.MODEL.METHOD | BTT.PRI.NODE.MODELMETHOD.v1.0 | LAT.BTT.MATH.NODE.MODEL.P3-P4.Z2 |
D. Tuition Function Codes
| Function | PUBLIC.ID | MACHINE.ID | LATTICE.CODE |
|---|---|---|---|
| Foundation Repair | BTT.PRI.MATH.F01.FOUNDATION.REPAIR | BTT.PRI.REPAIR.FOUNDATION.v1.0 | LAT.BTT.MATH.REPAIR.P1-P3.Z1.T3-T9 |
| Conceptual Understanding | BTT.PRI.MATH.F02.CONCEPT | BTT.PRI.CONCEPT.MASTERY.v1.0 | LAT.BTT.MATH.CONCEPT.P2-P4.Z1-Z2 |
| Problem-Solving Heuristics | BTT.PRI.MATH.F03.HEURISTICS | BTT.PRI.HEURISTICS.TRAINING.v1.0 | LAT.BTT.MATH.PROBLEM.P3-P4.Z2 |
| Speed and Accuracy | BTT.PRI.MATH.F04.SPEED.ACCURACY | BTT.PRI.SPEED.ACCURACY.v1.0 | LAT.BTT.MATH.EXAM.P3-P4.Z2.T8-T9 |
| PSLE Paper 1 Drill | BTT.PRI.MATH.F05.PAPER1 | BTT.PSLE.PAPER1.DRILL.v1.0 | LAT.BTT.MATH.EXAM.P3-P4.Z2.T9 |
| PSLE Paper 2 Drill | BTT.PRI.MATH.F06.PAPER2 | BTT.PSLE.PAPER2.DRILL.v1.0 | LAT.BTT.MATH.EXAM.P3-P4.Z2.T9 |
| Error Correction Loop | BTT.PRI.MATH.F07.ERROR.LOOP | BTT.PRI.ERROR.CORRECTION.v1.0 | LAT.BTT.MATH.REPAIR.P2-P4.Z2.T3-T9 |
| AL1 Distinction Engineering | BTT.PRI.MATH.F08.AL1 | BTT.PSLE.AL1.DISTINCTION.v1.0 | LAT.BTT.MATH.DISTINCTION.P4.Z2.T9 |
E. PSLE Preparatory Layer
| PSLE Layer | PUBLIC.ID | MACHINE.ID | LATTICE.CODE |
|---|---|---|---|
| PSLE Standard Mathematics | BTT.PSLE.MATH.01.STANDARD | BTT.PSLE.STANDARD.MATH.v1.0 | LAT.BTT.MATH.S3.P3-P4.Z2.T9 |
| PSLE Foundation Mathematics | BTT.PSLE.MATH.02.FOUNDATION | BTT.PSLE.FOUNDATION.MATH.v1.0 | LAT.BTT.MATH.S3.P1-P3.Z2.T9 |
| PSLE AL1 Target Route | BTT.PSLE.MATH.03.AL1 | BTT.PSLE.AL1.TARGET.v1.0 | LAT.BTT.MATH.S3.P4.Z2.T9 |
| PSLE AL2–AL4 Stability Route | BTT.PSLE.MATH.04.AL2.AL4 | BTT.PSLE.AL2.AL4.STABLE.v1.0 | LAT.BTT.MATH.S3.P3.Z2.T9 |
| PSLE AL5–AL8 Repair Route | BTT.PSLE.MATH.05.AL5.AL8.REPAIR | BTT.PSLE.AL5.AL8.REPAIR.v1.0 | LAT.BTT.MATH.REPAIR.P1-P2.Z2.T9 |
F. BukitTimahTutor Positioning
Primary 1–2 = Number sense, operations, confidencePrimary 3–4 = Fractions, decimals, geometry, early problem solvingPrimary 5 = Upper-primary jump, ratio, percentage, heuristicsPrimary 6 = PSLE compression, accuracy, timing, AL targetingPSLE Prep = Paper strategy + error correction + distinction engineering
G. One-Line Tuition Strategy
Bukit Timah Primary Mathematics Tuition should build number sense early,repair weak nodes before they compound, train word-problem heuristics,and prepare Primary 6 students for PSLE Mathematics with accuracy,speed, confidence, and AL1-ready reasoning.
eduKateSG Learning System | Control Tower, Runtime, and Next Routes
This article is one node inside the wider eduKateSG Learning System.
At eduKateSG, we do not treat education as random tips, isolated tuition notes, or one-off exam hacks. We treat learning as a living runtime:
state -> diagnosis -> method -> practice -> correction -> repair -> transfer -> long-term growth
That is why each article is written to do more than answer one question. It should help the reader move into the next correct corridor inside the wider eduKateSG system: understand -> diagnose -> repair -> optimize -> transfer. Your uploaded spine clearly clusters around Education OS, Tuition OS, Civilisation OS, subject learning systems, runtime/control-tower pages, and real-world lattice connectors, so this footer compresses those routes into one reusable ending block.
Start Here
- Education OS | How Education Works
- Tuition OS | eduKateOS & CivOS
- Civilisation OS
- How Civilization Works
- CivOS Runtime Control Tower
Learning Systems
- The eduKate Mathematics Learning System
- Learning English System | FENCE by eduKateSG
- eduKate Vocabulary Learning System
- Additional Mathematics 101
Runtime and Deep Structure
- Human Regenerative Lattice | 3D Geometry of Civilisation
- Civilisation Lattice
- Advantages of Using CivOS | Start Here Stack Z0-Z3 for Humans & AI
Real-World Connectors
Subject Runtime Lane
- Math Worksheets
- How Mathematics Works PDF
- MathOS Runtime Control Tower v0.1
- MathOS Failure Atlas v0.1
- MathOS Recovery Corridors P0 to P3
How to Use eduKateSG
If you want the big picture -> start with Education OS and Civilisation OS
If you want subject mastery -> enter Mathematics, English, Vocabulary, or Additional Mathematics
If you want diagnosis and repair -> move into the CivOS Runtime and subject runtime pages
If you want real-life context -> connect learning back to Family OS, Bukit Timah OS, Punggol OS, and Singapore City OS
Why eduKateSG writes articles this way
eduKateSG is not only publishing content.
eduKateSG is building a connected control tower for human learning.
That means each article can function as:
- a standalone answer,
- a bridge into a wider system,
- a diagnostic node,
- a repair route,
- and a next-step guide for students, parents, tutors, and AI readers.
eduKateSG.LearningSystem.Footer.v1.0
TITLE: eduKateSG Learning System | Control Tower / Runtime / Next Routes
FUNCTION:
This article is one node inside the wider eduKateSG Learning System.
Its job is not only to explain one topic, but to help the reader enter the next correct corridor.
CORE_RUNTIME:
reader_state -> understanding -> diagnosis -> correction -> repair -> optimisation -> transfer -> long_term_growth
CORE_IDEA:
eduKateSG does not treat education as random tips, isolated tuition notes, or one-off exam hacks.
eduKateSG treats learning as a connected runtime across student, parent, tutor, school, family, subject, and civilisation layers.
PRIMARY_ROUTES:
1. First Principles
- Education OS
- Tuition OS
- Civilisation OS
- How Civilization Works
- CivOS Runtime Control Tower
2. Subject Systems
- Mathematics Learning System
- English Learning System
- Vocabulary Learning System
- Additional Mathematics
3. Runtime / Diagnostics / Repair
- CivOS Runtime Control Tower
- MathOS Runtime Control Tower
- MathOS Failure Atlas
- MathOS Recovery Corridors
- Human Regenerative Lattice
- Civilisation Lattice
4. Real-World Connectors
- Family OS
- Bukit Timah OS
- Punggol OS
- Singapore City OS
READER_CORRIDORS:
IF need == "big picture"
THEN route_to = Education OS + Civilisation OS + How Civilization Works
IF need == "subject mastery"
THEN route_to = Mathematics + English + Vocabulary + Additional Mathematics
IF need == "diagnosis and repair"
THEN route_to = CivOS Runtime + subject runtime pages + failure atlas + recovery corridors
IF need == "real life context"
THEN route_to = Family OS + Bukit Timah OS + Punggol OS + Singapore City OS
CLICKABLE_LINKS:
Education OS:
Education OS | How Education Works — The Regenerative Machine Behind Learning
Tuition OS:
Tuition OS (eduKateOS / CivOS)
Civilisation OS:
Civilisation OS
How Civilization Works:
Civilisation: How Civilisation Actually Works
CivOS Runtime Control Tower:
CivOS Runtime / Control Tower (Compiled Master Spec)
Mathematics Learning System:
The eduKate Mathematics Learning System™
English Learning System:
Learning English System: FENCE™ by eduKateSG
Vocabulary Learning System:
eduKate Vocabulary Learning System
Additional Mathematics 101:
Additional Mathematics 101 (Everything You Need to Know)
Human Regenerative Lattice:
eRCP | Human Regenerative Lattice (HRL)
Civilisation Lattice:
The Operator Physics Keystone
Family OS:
Family OS (Level 0 root node)
Bukit Timah OS:
Bukit Timah OS
Punggol OS:
Punggol OS
Singapore City OS:
Singapore City OS
MathOS Runtime Control Tower:
MathOS Runtime Control Tower v0.1 (Install • Sensors • Fences • Recovery • Directories)
MathOS Failure Atlas:
MathOS Failure Atlas v0.1 (30 Collapse Patterns + Sensors + Truncate/Stitch/Retest)
MathOS Recovery Corridors:
MathOS Recovery Corridors Directory (P0→P3) — Entry Conditions, Steps, Retests, Exit Gates
SHORT_PUBLIC_FOOTER:
This article is part of the wider eduKateSG Learning System.
At eduKateSG, learning is treated as a connected runtime:
understanding -> diagnosis -> correction -> repair -> optimisation -> transfer -> long-term growth.
Start here:
Education OS
Education OS | How Education Works — The Regenerative Machine Behind Learning
Tuition OS
Tuition OS (eduKateOS / CivOS)
Civilisation OS
Civilisation OS
CivOS Runtime Control Tower
CivOS Runtime / Control Tower (Compiled Master Spec)
Mathematics Learning System
The eduKate Mathematics Learning System™
English Learning System
Learning English System: FENCE™ by eduKateSG
Vocabulary Learning System
eduKate Vocabulary Learning System
Family OS
Family OS (Level 0 root node)
Singapore City OS
Singapore City OS
CLOSING_LINE:
A strong article does not end at explanation.
A strong article helps the reader enter the next correct corridor.
TAGS:
eduKateSG
Learning System
Control Tower
Runtime
Education OS
Tuition OS
Civilisation OS
Mathematics
English
Vocabulary
Family OS
Singapore City OS


