Class 9 Mathematics Syllabus, Chapters & Solved Examples
Competency-focused Mathematics covering number systems, algebra, coordinate geometry, geometry, mensuration, statistics and probability.
Class 9 Mathematics chapters
Aligned to the CBSE Class IX Mathematics 2026–27 course structure.
Number System
Rational/irrational numbers, decimal representation and number-line reasoning.
Introduction to Polynomials
Expressions, degree, linear relationships and graphs.
Sequences and Progressions
Rules for sequences, AP and GP.
Exploring Algebraic Identities
Pattern-based identities and algebraic manipulation.
Linear Equations in Two Variables
Equations, tables and graphical meaning.
Coordinate Geometry
Cartesian plane, coordinates and interpretation.
Introduction to Euclid’s Geometry
Axioms, postulates and reasoning.
Lines and Angles
Angle relationships and parallel-line reasoning.
Triangles – Congruence Theorems
Congruence criteria and proofs.
Quadrilaterals
Properties of four-sided figures.
Circles
Circle geometry and relationships.
Area and Perimeter
Plane figures and measurement.
Surface Area and Volume
3D measurement.
Statistics
Data representation and summary.
Introduction to Probability
Simple chance and outcomes.
A repeatable learning system
1. Diagnose
Start with a short concept check so the tutor knows exactly what the learner understands and where the gaps are.
2. Explain visually
Build the idea with diagrams, analogies, worked reasoning and real-life context before asking the learner to memorise a rule.
3. Guided practice
Tutor solves one model problem, then the learner solves a similar problem with progressively less help.
4. Retrieval & exam practice
Use short recall checks, mixed questions, board-style applications and error correction rather than passive rereading.
5. Progress loop
Track weak concepts, homework accuracy and test performance, then adjust the next session around evidence.