Class 9 Mathematics (गणित) - NCERT & Uttar Pradesh Board (UPMSP) Official Curriculum
Official syllabus prescribed by NCERT and followed across CBSE, CISCE, NIOS, and State Boards. Explore all 12 chapters in English Medium or Hindi Medium (हिंदी माध्यम) with dedicated video masterclasses.
Class 9 Mathematics (गणित)
Official sequenced chapter syllabus prescribed by NCERT and followed across CBSE, CISCE, NIOS, and State Education Boards nationwide. Every chapter is mapped to dedicated video masterclasses.
Chapter List & Video Masterclasses
12 of 12 ChaptersNumber Systems
Irrational numbers, real numbers and their decimal expansions, representing real numbers on number line, laws of exponents for real numbers.
Polynomials
Polynomials in one variable, zeroes of a polynomial, Remainder Theorem, factorisation of polynomials, and algebraic identities.
Coordinate Geometry
Cartesian system, origin, axes, plotting a point in the plane if its coordinates are given, quadrant identification.
Linear Equations in Two Variables
Linear equations in form ax + by + c = 0, solution of a linear equation, and graphing linear equations on Cartesian plane.
Lines and Angles
Basic terms and definitions, intersecting lines, linear pair axiom, vertically opposite angles, parallel lines and transversals.
Triangles (Congruence)
Congruence of triangles, criteria for congruence (SAS, ASA, AAS, SSS, RHS), and properties of isosceles triangles.
Quadrilaterals
Properties of parallelograms, conditions for a quadrilateral to be a parallelogram, and the Mid-point Theorem.
Circles
Chords and their distances from center, angle subtended by an arc of a circle, cyclic quadrilaterals, and theorems.
Heron’s Formula
Area of triangle by Heron’s formula (√[s(s-a)(s-b)(s-c)]), semi-perimeter s = (a+b+c)/2, and applications.
Surface Areas and Volumes
Surface area and volume of right circular cones, spheres, and hemispheres.
Statistics
Graphical representation of data: bar graphs, histograms (with uniform and varying width), and frequency polygons.
Introduction to Euclid’s Geometry
Euclid’s definitions, axioms, and postulates (the five postulates), and equivalent versions of Euclid’s fifth postulate.
Full Board Marathons & Chapter One-Shots
Watch complete full-syllabus revision sessions and chapter-by-chapter deep dives by India’s most acclaimed educators (Physics Wallah, Dear Sir, Vedantu, Magnet Brains, NCERT Wallah). Mapped directly to official board blueprints.