Class 9 Mathematics Syllabus

Covers locating points on a rectangular spatial grid and defining positions using ordered coordinate pairs.

Covers the Cartesian coordinate system, coordinate axes, origin, four quadrants, and plotting (x, y) coordinate points.

Covers geometric figures on the coordinate plane, reflection across axes, and coordinate geometry word problems.

Covers identifying terms, variables, coefficients, and degree in linear polynomial expressions.

Covers finding zeroes of linear polynomials and interpreting their geometric meaning on the Cartesian line.

Covers algebraic modeling of constant rate of change and real-life linear growth phenomena.

Covers real numbers, rational numbers, decimal expansions (terminating and repeating), and the density property.

Covers irrational numbers and geometric construction of square root magnitudes on the number line using the square root spiral.

Covers operations on real numbers, rationalizing denominators, and applying laws of rational exponents.

Covers analytical proofs of irrationality for square roots (√2, √3) and complex real-number evaluations.

Covers geometric visual models and algebraic expansions of identities (a ± b)² and difference of squares a² - b².

Covers algebraic derivation, expansions, and computational applications of cubic identities (a ± b)³ and a³ ± b³.

Covers expansions of the trinomial identity (a + b + c)² and conditional cubic identities.

Covers factorisation of multi-variable polynomials using algebraic identities.

Covers geometric definitions and terminology of circles: radius, diameter, chords, arcs, sectors, and segments.

Covers theorems establishing that equal chords subtend equal angles at the center and are equidistant from the center.

Covers angle subtended by an arc at the center versus remaining circumference, angles in a semicircle, and cyclic quadrilaterals.

Covers deductive geometric proofs and riders on circle properties.

Covers conceptual foundation of perimeter and area calculations for regular and composite polygons.

Covers application of Heron's formula (√s(s-a)(s-b)(s-c)) to find the area of scalene and isosceles triangles.

Covers Brahmagupta's formula for finding areas of cyclic quadrilaterals and practical land measurement problems.

Covers area estimation, composite geometric layouts, and optimization problems.

Covers random experiments, outcomes, trial events, and sample space formulation.

Covers empirical (experimental) probability versus theoretical probability for simple chance events.

Covers multi-stage probability situations, tree diagram modeling, and risk evaluation problems.

Covers recognizing numerical and geometric patterns, inductive thinking, and calculating differences between terms.

Covers formulating the general term of arithmetic progressions and identifying arithmetic sequences.

Covers sequence modeling, recurrence relations, and mathematical problem-solving.