(CBSE) Class-9 Maths

Explore the number systems from natural numbers and whole numbers to integers and rational numbers, including fractions and zero, and introduce irrational, real, and imaginary numbers.

Explore rational and irrational numbers, learn how to identify, compare, and find rational values between integers, and connect these ideas with averages, square roots, and basic number line geometry.

Explore real numbers and their decimal expansions. Distinguish terminating, non-terminating, and recurring decimals, and learn to convert fractions like 7/8 and 1/3 into decimals.

Explore the operations on real numbers, including addition, subtraction, multiplication, and division, and learn to rationalize the denominator using the laws of exponents.

Identify polynomials by defining polynomial expressions, variables, coefficients, and constants, and distinguish one-variable from multi-variable forms, including binomial, trinomial, and standard form polynomials.

Identify polynomial expressions in one variable by analyzing degree, highest power, and coefficients. Learn to distinguish linear, quadratic, and cubic polynomials through examples and terms count.

Learn how to find zeros of polynomials by evaluating polynomial expressions at given x-values, identify roots, and understand the relationship between zeros and polynomial equations.

Master the factorisation of polynomials through worked examples, including x squared minus x minus four and x squared minus four x plus three.

Explore the factor theorem by identifying roots of polynomials, testing candidates like x-3 or x-8 as factors, and verifying zeros.

Explore essential algebraic identities, including (x+y)^2, (x-y)^2, and (x+y)^3, and learn their expansions and applications in simplifying expressions and solving equations.

Learn core algebraic identities and factoring, including x^2+2x and x^2−2x patterns, and the difference of squares via (x+y)(x−y).

Explore the Cartesian plane, learn the x-axis and y-axis, identify the origin, and navigate quadrants I–IV to plot coordinates and locate points.

Explore solving linear equations in two variables, x and y, by graphing and analyzing when a system has a unique solution.

Explore equations of lines parallel to the x-axis and the y-axis, and learn how to identify and express these lines in simple form.

Explore Euclid's geometry foundations, including the axioms of equality and parallel lines, and learn basic geometric reasoning.

Explore geometry fundamentals by examining lines, including parallel and intersecting lines, and learn to identify vertically opposite angles in practical examples.

Explore pairs of angles on a straight line and how their sums reveal key angle relationships in problems.

Explore questions on pairs of angles formed by intersecting lines, solving for x and y using straight line and vertically opposite relationships, with 90-degree angle rules.

Explore parallel lines and a transversal, and see how corresponding angles are equal and how angle relationships form when lines intersect.

Learn the criteria for triangle congruence, recognizing when corresponding sides and angles match, including cases where two sides are equal and the included angle completes congruence.

Explore triangle properties, focusing on isosceles triangles, where equal sides yield equal opposite angles, and apply this to understanding triangle inequalities.

Explore triangle basics, including equal sides and angle relations, through problem-based questions using notations like ABC and EBD to develop geometric reasoning and solutions.

Introduce basic geometry concepts by exploring shapes such as square, rectangle, and trapezium, focusing on sides, angles, and criteria for equality.

Explore properties of parallelograms by proving that opposite sides are equal and diagonals bisect each other, using congruent triangles and geometric reasoning.

Develop understanding of theorem 8 and theorem 9 by proving angle equalities and opposite-side equalities in geometric configurations, using diagrams and logical reasoning to establish relationships.

Explore the introduction to theorem 1 and theorem 2, covering triangles, segments, equal parts, and the circumference. Examine how proofs relate to these theorems.

Explore theorem 3, theorem 4, and theorem 5 in cbse class 9 maths, focusing on right triangles, hypotenuse properties, angle bisectors, and the pythagorean relationship.

Explore theorem 6, theorem 7, and theorem 8 in cbse class 9 maths, focusing on equidistance from a center, angle bisectors, and equal radii in geometric figures.

Explore theorems 9 to 12 in class 9 maths, focusing on equal angles, right angles, and circles through points, with explanations and problem-solving strategies.

Explore angle relationships in geometry, solving problems with abcd configurations, identifying equal and supplementary angles, and using 360-degree sums to determine angle measures.