The CBSE Class 9th Maths syllabus for 2024-2025 is designed to build a strong foundation in mathematics, covering essential concepts that will be further developed in higher grades. Here's a detailed breakdown of the syllabus:

Unit 1: Number Systems (10 Marks)

 * Real Numbers:

   * Review of representation of natural numbers, integers, and rational numbers on the number line.

   * Rational numbers as recurring/terminating decimals.

   * Operations on real numbers.

   * Examples of non-recurring/non-terminating decimals.

   * Existence of non-rational numbers (irrational numbers) such as √2, √3 and their representation on the number line.

   * Decimal expansions of real numbers.

Unit 2: Algebra (20 Marks)

 * Polynomials:

   * Definition of a polynomial in one variable, with examples and counterexamples.

   * Coefficients of a polynomial, terms of a polynomial, and zero polynomial.

   * Degree of a polynomial.

   * Constant, linear, quadratic, and cubic polynomials.

   * Monomials, binomials, trinomials.

   * Factors and multiples.

   * Zeros of a polynomial.

   * Remainder Theorem with examples.

   * Factor Theorem.

   * Factorization of quadratic polynomials.

   * Algebraic expressions and identities.

 * Linear Equations in Two Variables:

   * Introduction to equations in two variables.

   * Linear equations in two variables.

   * Solutions of a linear equation in two variables.

   * Graph of a linear equation in two variables.

Unit 3: Coordinate Geometry (4 Marks)

 * Coordinate Geometry:

   * Cartesian coordinate system.

   * Plotting points in a Cartesian plane.

   * Coordinates of a point.

   * Distance between two points.

Unit 4: Geometry (27 Marks)

 * Introduction to Euclid's Geometry:

   * Euclid's definitions, axioms, and postulates.

   * Basic geometric concepts.

 * Lines and Angles:

   * Lines, line segments, rays, and angles.

   * Types of angles.

   * Pairs of angles (complementary, supplementary, adjacent).

   * Intersecting lines and non-intersecting lines.

   * Transversal and angles formed by a transversal.

   * Parallel lines and their properties.

 * Triangles:

   * Triangles and their types.

   * Congruence of triangles.

   * Criteria for congruence of triangles (SSS, SAS, ASA).

   * Inequalities in triangles.

 * Quadrilaterals:

   * Quadrilaterals and their types.

   * Properties of quadrilaterals.

 * Areas of Parallelograms and Triangles:

   * Area of a parallelogram.

   * Area of a triangle.

   * Relationship between the areas of triangles and parallelograms.

 * Circles:

   * Circles and related terms (radius, diameter, chord, arc, etc.).

   * Angles subtended by a chord at the center.

   * Perpendicular from the center to a chord.

   * Chords and their distances from the center.

   * Cyclic quadrilaterals.

 * Constructions:

   * Construction of triangles using compass and ruler.

   * Construction of bisectors, perpendiculars, etc.

Unit 5: Mensuration (13 Marks)

 * Areas:

   * Area of a triangle using Heron's formula.

   * Area of a quadrilateral.

 * Surface Areas and Volumes:

   * Surface areas and volumes of cubes, cuboids, spheres, hemispheres, and right circular cylinders/cones.

Unit 6: Statistics and Probability (6 Marks)

 * Statistics:

   * Collection of data.

   * Presentation of data (bar graphs, histograms, frequency polygons).

   * Measures of central tendency (mean, median, mode).

 * Probability:

   * Probability of an event.

This detailed syllabus provides a comprehensive overview of the topics covered in CBSE Class 9th Maths. It's crucial for students to thoroughly understand these concepts as they form the basis for higher-level mathematics in the future. Remember to refer to the official CBSE website for the most accurate and updated syllabus.