The 20-route learning estate
eduKateSengkang is organised as a Learning Castle: existing subject hubs, level routes, examination routes and learning-system pages retain their jobs. This page is the master upgrade directory. It does not replace those owners. It makes the work visible, assigns every upgrade to one route, and gives new or substantially revised articles stable IDs so later batches can be connected without losing track of what is complete.
Numbering rule
Each route has a -000 hub pointer. Article slots then use reserved tens: -010, -020, -030 and so on. The first upgrade programme reserves up to 150 article slots per route, ending at -1500. Existing high-value URLs are upgraded in place wherever practical; the ID identifies the editorial job, not a requirement to create a new URL.
| Route | Hub ID | Primary job | Existing owner / destination | Reserved article IDs | Status |
|---|---|---|---|---|---|
| SK-01 | SK-01-000 | Homepage, Sengkang Tuition, commercial/navigation/root accuracy | Homepage / Tuition Centre owner | SK-01-010–SK-01-1500 | OPEN |
| SK-02 | SK-02-000 | Primary 1–3 English | Primary English Learning Hub | SK-02-010–SK-02-1500 | OPEN |
| SK-03 | SK-03-000 | Primary 4–6 English + PSLE English | Primary English Learning Hub / PSLE Learning Guide | SK-03-010–SK-03-1500 | OPEN |
| SK-04 | SK-04-000 | Secondary 1–2 English | English Hub | SK-04-010–SK-04-1500 | OPEN |
| SK-05 | SK-05-000 | Secondary 3–4 English + SEC English | English Hub | SK-05-010–SK-05-1500 | OPEN |
| SK-06 | SK-06-000 | Vocabulary, grammar, reading, writing and English skills | Complete English Index | SK-06-010–SK-06-1500 | OPEN |
| SK-07 | SK-07-000 | Primary 1–3 Mathematics | Mathematics Hub | SK-07-010–SK-07-1500 | OPEN |
| SK-08 | SK-08-000 | Primary 4–6 Mathematics + PSLE Mathematics | Mathematics Hub / PSLE Learning Guide | SK-08-010–SK-08-1500 | OPEN |
| SK-09 | SK-09-000 | Secondary 1–2 Mathematics | Mathematics Hub | SK-09-010–SK-09-1500 | OPEN |
| SK-10 | SK-10-000 | Secondary 3–4 Mathematics + SEC Mathematics | Mathematics Hub | SK-10-010–SK-10-1500 | OPEN |
| SK-11 | SK-11-000 | Additional Mathematics | Additional Mathematics owner | SK-11-010–SK-11-1500 | OPEN |
| SK-12 | SK-12-000 | Primary 3–4 Science | Science Hub | SK-12-010–SK-12-1500 | OPEN |
| SK-13 | SK-13-000 | Primary 5–6 Science + PSLE Science | Science Hub / PSLE Science Learning Guide | SK-13-010–SK-13-1500 | OPEN |
| SK-14 | SK-14-000 | Secondary Science + scientific reasoning | Science Hub | SK-14-010–SK-14-1500 | OPEN |
| SK-15 | SK-15-000 | Learning Castle, Learning Runtime and study methods | Learning Runtime Hub | SK-15-010–SK-15-1500 | OPEN |
| SK-16 | SK-16-000 | Examination performance, revision, assessment and error repair | Examination Craft | SK-16-010–SK-16-1500 | OPEN |
| SK-17 | SK-17-000 | Parent guides, tuition, teaching and student support | Parents’ Guide | SK-17-010–SK-17-1500 | OPEN |
| SK-18 | SK-18-000 | Algorithms, computing and advanced mathematics | Algorithms & Computing Hub | SK-18-010–SK-18-1500 | OPEN |
| SK-19 | SK-19-000 | Advanced science and world-knowledge science material | Complete Science Index | SK-19-010–SK-19-1500 | OPEN |
| SK-20 | SK-20-000 | Estate archaeology: duplication, location leakage, orphan control, cannibalisation and consolidation candidates | Learning Castle Registry | SK-20-010–SK-20-1500 | OPEN |
Article register
The first-wave titles and status ledger are live in the eduKate Sengkang Article Register | SK-01 to SK-20. Use it to claim the next article ID, see protected owners and avoid duplicating work already active in another branch.
Protection-first reader standard
All 20 branches now follow the eduKate Sengkang Reader Experience Standard: protect strong pages, connect isolated pages, improve formatting only where it helps, use bounded surgery for specific defects, and modernise only when the existing article no longer completes its reader job.
Article state
Every inspected URL receives one state before work begins: PROTECT for ranking or strategically sensitive owners; KEEP for sound pages needing no substantial rewrite; MODERNISE for useful but outdated pages; SURGERY for small bounded repairs; RETARGET for pages that need a distinct adjacent search job; CONSOLIDATION CANDIDATE for overlapping intent that requires owner review; LOCATION LEAKAGE for misplaced locality; or HISTORICAL for material worth preserving without major reinvestment.
Completion rule
An article ID becomes complete only when the assigned existing URL or new article has a defined reader job, correct owner, current factual scope, useful internal return path and no unresolved collision with another Sengkang owner. A branch can therefore inspect more than 150 URLs without rewriting 150 pages. The 150 slots are a controlled first-wave capacity, not a quota.
Castle relationship
This programme sits under the existing Learning Castle and follows its one-owner-many-routes rule. English, Mathematics, Science, Examination Craft, Learning Runtime and Algorithms retain their existing canonical roles. The master directory exists to coordinate upgrades and make unfinished work visible; it does not create twenty competing subject hubs.
Complete-index crosswalk
Use the 20 routes above to decide ownership and upgrade work. Use these Complete Archives when the job is enumeration, orphan control or direct deep-article discovery.
English Archive · Mathematics Archive · Science Archive · Examination Archive · Learning Runtime Archive · Algorithms & Computing Archive
Deep fallback discovery
The subject hubs and Complete Archives remain the preferred routes. These live indexes are the final orphan-control layer: they expose every published Page and Post through paginated internal links so newly published or unusually placed content still has a crawlable return path while specialist routing is updated.
Browse every published Page
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Secondary 3 Mathematics Punggol | Build the Upper-Secondary Math Engine
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Secondary 3 Mathematics Sengkang | The Voyage of Water
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Secondary 3 Mathematics Tuition Sengkang | Upper Secondary Math, Transfer & SEC Readiness
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Secondary 3 Mathematics Tutor | Curie Series | Algebra, Functions and Examination-Ready Strategy Control
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Secondary 3 Mathematics | Why the Load Compounds Here | Darwin × Voyage
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Secondary 3 Science Tutor | Curie Series | Biology, Chemistry, Physics and Experimental Control
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Secondary 3 Tuition Sengkang | Upper-Secondary Specialisation & SEC Readiness
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Secondary 3–4 Additional Mathematics Punggol | From Entry to Examination
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Secondary 4 Additional Mathematics Learning Guide | Advanced Differentiation, Rates of Change and Second-Derivative Control
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Secondary 4 Additional Mathematics Learning Guide | Advanced Integration of Trigonometric and Exponential Functions and Signed Areas
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Secondary 4 Additional Mathematics Learning Guide | Algebra Under Pressure, Exact Forms and Manipulation Control
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Secondary 4 Additional Mathematics Learning Guide | Binomial Theorem and Coefficient Reasoning
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Secondary 4 Additional Mathematics Learning Guide | Calculator Discipline, Estimation and Exactness
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Secondary 4 Additional Mathematics Learning Guide | Case Analysis, Branching and Exhaustive Solution Sets
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Secondary 4 Additional Mathematics Learning Guide | Confidence Calibration, Error Prediction and Verification Budgeting
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Secondary 4 Additional Mathematics Learning Guide | Controlled Variation, Near-Miss Questions and Method Discrimination
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Secondary 4 Additional Mathematics Learning Guide | Coordinate Geometry, Circles and Linearisation
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Secondary 4 Additional Mathematics Learning Guide | Differentiation, Tangents, Normals and Stationary Points
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Secondary 4 Additional Mathematics Learning Guide | Domains, Constraints and Solution Filtering
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Secondary 4 Additional Mathematics Learning Guide | Error Maps, Paper Repair and Diagnostic Classification
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Secondary 4 Additional Mathematics Learning Guide | Essential Working, Evidence Preservation and Recoverable Marks
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Secondary 4 Additional Mathematics Learning Guide | Exponential and Logarithmic Functions and Equations
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Secondary 4 Additional Mathematics Learning Guide | Formula Sheet Intelligence, Memory Allocation and Retrieval Control
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Secondary 4 Additional Mathematics Learning Guide | Formula Sheet Intelligence, Memory Allocation and Retrieval Control
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Secondary 4 Additional Mathematics Learning Guide | Functions, Transformations and Inverse Structure
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Secondary 4 Additional Mathematics Learning Guide | Graph Sketching, Asymptotes and Turning-Point Interpretation
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Secondary 4 Additional Mathematics Learning Guide | Hidden Assumed Knowledge, Prerequisites and Fast Repair
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Secondary 4 Additional Mathematics Learning Guide | Integration, Definite Integrals and Area Under Curves
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Secondary 4 Additional Mathematics Learning Guide | Kinematics: Displacement, Velocity and Acceleration
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Secondary 4 Additional Mathematics Learning Guide | Linear Law, Transformations and Parameter Recovery
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Secondary 4 Additional Mathematics Learning Guide | Mastery Checkpoint, Full-Syllabus Diagnostic and Final-Year Readiness
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Secondary 4 Additional Mathematics Learning Guide | Mathematical Communication, Notation and Complete Reasoning
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Secondary 4 Additional Mathematics Learning Guide | Mathematical Modelling and Parameter Problems
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Secondary 4 Additional Mathematics Learning Guide | Method Economy, Shortest Safe Routes and Mark Efficiency
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Secondary 4 Additional Mathematics Learning Guide | Mixed-Topic Route Selection, Transfer and Integration
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Secondary 4 Additional Mathematics Learning Guide | Multi-Constraint Problems, Feasible Sets and Condition Stacking
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Secondary 4 Additional Mathematics Learning Guide | Multi-Stage Question Architecture, Subgoals and Dependency Chains
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Secondary 4 Additional Mathematics Learning Guide | Necessary and Sufficient Conditions, Converses and Logical Structure
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Secondary 4 Additional Mathematics Learning Guide | Non-Routine Problem Solving and Alternative Methods
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Secondary 4 Additional Mathematics Learning Guide | Past-Paper Forensics, Question Archetypes and Pattern Mining
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Secondary 4 Additional Mathematics Learning Guide | Past-Paper Forensics, Question Archetypes and Pattern Mining
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Secondary 4 Additional Mathematics Learning Guide | Plane Geometry Proofs and Circle Theorems
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Secondary 4 Additional Mathematics Learning Guide | Polynomials, Factor and Remainder Theorems and Partial Fractions
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Secondary 4 Additional Mathematics Learning Guide | Quadratic Functions and Discriminant Control
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Secondary 4 Additional Mathematics Learning Guide | Schema Extraction, Solution Compression and Reusable Mathematical Templates
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Secondary 4 Additional Mathematics Learning Guide | Surds, Rationalisation and Exact Algebra
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Secondary 4 Additional Mathematics Learning Guide | Topical-to-Full-Paper Progression, Prelim Calibration and Examination Transfer
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Secondary 4 Additional Mathematics Learning Guide | Topical-to-Full-Paper Progression, Prelim Calibration and Examination Transfer
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Secondary 4 Additional Mathematics Learning Guide | Topical-to-Full-Paper Progression, Prelim Calibration and Examination Transfer
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Secondary 4 Additional Mathematics Learning Guide | Trigonometric Functions, Identities and Equations
Browse every published Post
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Link–Cut Trees | Dynamic Forests Learning Guide
8–13 minutes -
How to Learn Seam Carving: Energy Maps, Dynamic Programming, Minimal Seams and Content-Aware Resizing
7–10 minutes -
How to Learn Duval’s Algorithm: Lyndon Words, Factorization, Three Pointers and Linear-Time String Structure
6–9 minutes -
How to Learn Fortune’s Algorithm: Voronoi Diagrams, Beach Lines, Site/Circle Events and Robust Sweep Geometry
7–10 minutes -
How to Learn the Auction Algorithm: Bids, Prices, ε-Complementary Slackness, Scaling and Parallel Assignment
7–11 minutes -
How to Learn Modern Timsort and Powersort: Natural Runs, Stable Merging, Galloping and Adaptive Merge Scheduling
8–12 minutes -
How to Learn Asymmetric Numeral Systems: Entropy States, rANS/tANS, Renormalization and Finite-State Compression
7–11 minutes -
How to Learn Δ-Stepping: Distance Buckets, Light/Heavy Edges, Parallel Relaxation and Shortest-Path Throughput
7–10 minutes -
D* Lite | Incremental Replanning Learning Guide
7–11 minutes -
How to Learn the Ramer–Douglas–Peucker Algorithm: Polyline Simplification, Perpendicular Distance, Recursion and Error Tolerance
6–9 minutes -
How to Learn the Knuth–Plass Line-Breaking Algorithm: Boxes, Glue, Penalties, Demerits and Paragraph-Wide Optimization
6–10 minutes -
How to Learn Floyd–Steinberg Dithering: Quantization Error, Error Diffusion, Scan Order and Image Quality
5–8 minutes -
How to Learn the Bron–Kerbosch Algorithm: Maximal Cliques, Candidate Sets, Pivoting and Degeneracy Ordering
6–9 minutes -
How to Learn Fibrosis and Tissue Scarring: From Wound Repair to Myofibroblasts, Matrix Stiffness and Organ Failure
4–6 minutes -
How to Learn Myelin and Saltatory Conduction: From Oligodendrocytes to Adaptive White Matter and Remyelination
4–7 minutes -
How to Learn Extracellular Vesicles and Exosomes: From Membrane Budding to Intercellular Cargo and Biomarkers
4–6 minutes -
How to Learn Cellular Senescence: From Cell-Cycle Arrest to SASP, Immune Clearance and Ageing
5–7 minutes -
How to Learn Christofides’ Algorithm: Metric TSP, Minimum Spanning Trees, Odd-Vertex Matching and the 3/2 Approximation
7–11 minutes -
How to Learn Buchberger’s Algorithm: Polynomial Division, S-Polynomials, Gröbner Bases and Critical-Pair Control
7–10 minutes -
Schreier–Sims Algorithm | Permutation Groups Learning Guide
7–10 minutes -
How to Learn Pollard’s Rho Factorization: Modular Iteration, Birthday Collisions, GCD Extraction and Brent Cycle Detection
7–10 minutes -
How to Learn Minimum Cycle Basis Algorithms: Cycle Spaces, Horton Candidates, Shortest Paths and GF(2) Independence
7–11 minutes -
How to Learn Knuth DP Optimization: Interval Recurrences, Monotone Split Points and Quadrangle Inequalities
4–5 minutes -
How to Learn Convex Hull Algorithms: Orientation Tests, Graham Scan, Monotone Chain and Robust Geometry
3–5 minutes -
How to Learn Eppstein’s K-Shortest-Paths Algorithm: Shortest-Path Trees, Sidetrack Costs, Persistent Heaps and Path Enumeration
7–11 minutes -
How to Learn Patricia Tries and Radix Trees: Path Compression, Bitwise Branching and Longest-Prefix Search
3–4 minutes -
How to Learn Radix Heaps: Monotone Keys, Bit Buckets, Redistribution and Integer-Weight Dijkstra
7–10 minutes -
How to Learn Pairing Heaps: Meld, Two-Pass Delete-Min, Decrease-Key and Amortized Reasoning
4–6 minutes -
How to Learn Myers’ Diff Algorithm: Edit Graphs, D-Paths, Shortest Edit Scripts and Linear-Space Reconstruction
7–10 minutes -
How to Learn Freivalds’ Algorithm: Random Projections, Matrix Product Verification and One-Sided Error Guarantees
5–8 minutes -
How to Learn the Fast Walsh–Hadamard Transform: Butterfly Operations, XOR Convolution and O(n log n) Structure
5–7 minutes -
How to Learn Luby’s Algorithm: Maximal Independent Sets, Random Priorities, Parallel Rounds and High-Probability Progress
5–7 minutes -
Bostan–Mori Algorithm | Fast Linear Recurrences Learning Guide
5–8 minutes -
How to Learn Minimum Mean-Cycle Algorithms: Average Cycle Weight, Karp’s Dynamic Programming, Negative Cycles and Systems Analysis
7–10 minutes -
How to Learn GJK Collision Detection: Minkowski Difference, Support Mappings, Simplexes and Robust Convex Geometry
7–10 minutes -
How to Learn Tonelli–Shanks: Quadratic Residues, Modular Square Roots, Euler’s Criterion and Finite-Field Reasoning
5–8 minutes -
How to Learn the Four Russians Technique: Block Decomposition, Lookup Tables, Boolean Matrix Multiplication and Word-Level Speedups
6–8 minutes -
How to Learn X-Ray Photoelectron Spectroscopy and Surface Analysis: From the Photoelectric Effect to Chemical States, Depth Profiles and Operando Interfaces
10–15 minutes -
How to Learn Cryo-Electron Microscopy and Single-Particle Reconstruction: From Vitrified Samples to CTF, 3D Maps and Structural Validation
10–15 minutes -
How to Learn Mitochondria and Mitochondrial Dynamics: From ATP and Membrane Potential to Fusion, Fission, Mitophagy and Heteroplasmy
10–15 minutes -
How to Learn Microfluidics and Lab-on-a-Chip Science: From Laminar Flow and Diffusion to Droplets, Organ-on-Chip and Autonomous Microsystems
10–15 minutes -
How to Learn Knuth Optimization: Interval Dynamic Programming, Monotone Split Points, Quadrangle Inequalities and O(n²) Speedups
7–11 minutes -
How to Learn Marching Cubes: Isosurfaces, Case Tables, Interpolation, Topology and Production Mesh Extraction
8–11 minutes -
How to Learn CORDIC: Shift–Add Rotations, Vectoring, Fixed-Point Arithmetic and Hardware Trigonometry
6–10 minutes -
How to Learn the Bentley–Ottmann Algorithm: Sweep Lines, Event Queues, Segment Intersections and Robust Geometry
7–11 minutes -
How to Learn Optogenetics and Causal Neuroscience: From Opsins and Light Pulses to Circuit Perturbation, Wireless Implants and Causal Inference
9–14 minutes -
How to Learn Neutron Scattering and Neutron Imaging: From Nuclear Scattering to Diffraction, Dynamics and Operando Materials Science
9–14 minutes -
How to Learn Mechanochemistry and Solid-State Reactivity: From Grinding and Defects to Ball Milling, Liquid-Assisted Grinding and Mechanocatalysis
9–13 minutes -
How to Learn Flow Cytometry and Cell Sorting: From Light Scatter and Fluorescence to Gating, Spectral Unmixing and Single-Cell Decisions
8–12 minutes -
How to Learn Cilia, Flagella and Cell Motility: From Microtubules and Dynein to Fluid Flow and Cellular Signalling
4–7 minutes
Routing rule: use this fallback only for discovery and orphan control. Canonical subject ownership, reader pathways and return logic continue to come from the Learning Castle, subject hubs and Complete Archives.
