Chapter 1
Number Systems
Classify numbers into naturals, integers, rationals, and irrationals; represent on number line.
The Class 9 CBSE syllabus marks the start of board-level rigour. Number systems, polynomials, coordinate geometry, Euclid's geometry, and probability form the core of this challenging year.
Chapter 1
Classify numbers into naturals, integers, rationals, and irrationals; represent on number line.
Chapter 2
Understand degree, zeroes of polynomials, remainder theorem, and factor theorem.
Chapter 3
Plot points on the Cartesian plane and understand abscissa, ordinate, and quadrants.
Chapter 4
Form and graph linear equations in two variables; find solutions as ordered pairs.
Chapter 5
Study Euclid's definitions, axioms, postulates, and their role in building geometry.
Chapter 6
Prove and apply theorems on linear pairs, vertically opposite angles, and parallel line transversals.
Chapter 7
Study congruence rules, properties of isosceles triangles, and inequalities in triangles.
Chapter 8
Prove angle sum property, properties of parallelograms, and mid-point theorem.
Chapter 9
Prove theorems relating areas of figures on the same base and between the same parallels.
Chapter 10
Study chords, arcs, angles subtended by chords, and properties of cyclic quadrilaterals.
Chapter 11
Construct bisectors of line segments and angles, and triangles given specific conditions.
Chapter 12
Apply Heron's formula to find areas of triangles and quadrilaterals split into triangles.
Chapter 13
Calculate surface area and volume of cubes, cuboids, cylinders, cones, and spheres.
Chapter 14
Collect data, draw frequency tables and histograms, and compute mean, median, and mode.
Chapter 15
Understand experimental probability through repeated experiments and frequency approach.