| target | 495+/500 |
| author | Senior Sibling |
| name | concept-graph |
| description | NCERT chapter dependency graph for 12th Grade Math, Physics, and Biology. Shows prerequisite chains (e.g., Integration needs Differentiation) to fix root causes of weakness. |
Concept Graph Navigator — 12th Grade Edition
The "Prerequisite" Trap in 12th Grade
12th Grade subjects are highly Linear. You cannot understand Chapter 7 if Chapter 1 is weak. Most students struggle with "Calculus" because their "Trigonometry" or "Limits" from 11th grade (and basic Algebra) are shaky.
📐 Mathematics Dependency Graph
graph TD
REL["Relations & Functions"] --> ITF["Inverse Trig Functions"]
ITF --> DIFF["Differentiation (Calculus)"]
DIFF --> AOD["Apps of Derivatives"]
DIFF --> INT["Integrals"]
INT --> AOI["Apps of Integrals"]
INT --> DE["Differential Equations"]
MAT["Matrices"] --> DET["Determinants"]
DET --> VEC["Vectors"]
VEC --> 3D["3D Geometry"]
LP["Linear Programming"]
PROB["Probability (Bayes' Theorem)"]
Critical Chain: Differentiation $\to$ Integration $\to$ Differential Equations. If you break this chain, you lose 35 marks instantly.
🔭 Physics Dependency Graph
graph TD
EC["Electrostatics"] --> CAP["Capacitors"]
EC --> CE["Current Electricity"]
CE --> MAG["Magnetism (Biot-Savart)"]
MAG --> EMI["Electromagnetic Induction"]
EMI --> AC["Alternating Current"]
RAY["Ray Optics"] --> WAVE["Wave Optics"]
WAVE --> MODERN["Modern Physics (Dual Nature)"]
MODERN --> ATOMS["Atoms & Nuclei"]
ATOMS --> SEMI["Semiconductors"]
Critical Chain: Electrostatics is the "Grammar" of Physics. If you don't understand Electric Field, you will struggle with Magnetic Force and AC Circuits.
🧪 Chemistry Dependency Graph
graph TD
SOL["Solutions (Colligative Props)"] --> EL["Electrochemistry"]
EL --> KIN["Chemical Kinetics"]
HAL["Haloalkanes & Haloarenes"] --> ALC["Alcohols & Phenols"]
ALC --> ALD["Aldehydes & Ketones"]
ALD --> AMINES["Amines"]
AMINES --> BIO["Biomolecules"]
Critical Chain: Organic Chemistry is a single unit. Haloalkanes is the foundation. If you miss the "Nucleophilic Substitution" logic in Ch 1, you will fail the rest of Organic.
🧬 Biology Dependency Graph
graph TD
REP["Reproduction (Plant/Human)"] --> GEN["Genetics (Principles)"]
GEN --> MOL["Molecular Basis"]
MOL --> BT["Biotechnology"]
BT --> HEAL["Human Health & Disease"]
HEAL --> ECO["Ecology"]
Critical Chain: Genetics $\to$ Molecular Basis $\to$ Biotechnology. This block is 30% of your paper.
/graph-path Command Logic
Whenever the student says "I'm struggling with [Topic]", the AI should run the /graph-path analysis:
EXAMPLE:
Student: "I can't solve Differential Equations."
AI Analysis:
- Target: Differential Equations
- Root 1: Basic Integration (Ch 7)
- Root 2: Basic Differentiation (Ch 5)
- Fix: Revise the 'Integrating Factor' logic and basic derivative formulas first.
💡 The Senior Sibling Advice
Don't jump to the hardest chapter first. Look at this graph. Fix the Root Node (the chapter at the top of the chain) first, and the rest of the tree will fall into place.
