CBSE Class 9 Maths Syllabus

CBSE Syllabus for Class 9 Maths Term (1 & 2) 2023-24

One of the most significant and highest-scoring subjects in Class 9 is Mathematics. It requires analytical thinking and logical reasoning. To score well, students must fully comprehend the CBSE CLASS 9 MATHS SYLLABUS for Term 1 and Term 2. Having knowledge of the syllabus will guide them on the exam pattern and marking scheme which will further help them to boost their marks in the final exam. 

To perform well in the CBSE Class 9 Mathematics exam, you must practice a lot, have a thorough understanding of the material, be well aware of the MATHS SYLLABUS FOR CLASS 9 CBSE and memorise the FORMULAS.

CBSE Class 9 Maths Term Wise Syllabus 2023-24

The course structure and unit-by-unit weightage for the Mathematics curriculum must be carefully reviewed. Written exams account for 40 marks, while internal assessments account for 10 marks, in each term. This page will offer you the complete structure of the CBSE CLASS 9 MATHS SYLLABUS and chapter-wise marks distribution. Students can download the CBSE CLASS 9 MATHS SYLLABUS for Term 1 and 2 from this article and save it for later use.

CBSE Class 9 Maths Term 1 Syllabus

CBSE Class 9 Maths Term 2 Syllabus

Details of the CBSE Syllabus for Class 9 (Term 1) 

Unit I: Number Systems

1. Real Numbers

•     Review of the representation of natural numbers
•     Integers
•     Rational numbers on the number line.
•     Rational numbers in the form of recurring or terminating decimals
•     Examples of non-recurring or non-terminating decimals
•     The existence of non-rational (irrational) numbers such as √2,√3  and their representation on the number line
•     The existence of non-rational (irrational) numbers such as 2 and 3 and their representation on the number line represents a unique real number.
•     Existence of √x for a given positive real number x 
•     Definition of nth root of a real number
•     Recall of laws of exponents with integral powers
•     Rational exponents with positive real bases (to be done by particular cases, allowing the learner to arrive at the general laws)
•     Real numbers of the types 1/ (?+?√?) and 1/ √?+√√y)   (and their combinations), where x and y are natural numbers and a and b are integers, rationalised (with precise meaning).

 Unit II: Algebra

1. Polynomials

•     The definition of a polynomial in one variable, with examples and counterexamples
•     Coefficients of a polynomial, terms of a polynomial and zero polynomial
•     The degree of a polynomial
•     Constant, linear, quadratic, and cubic polynomials
•     Monomials, binomials, trinomials
•     Factors and multiples
•     The zeros of a polynomial
•     Motivate and state the remainder theorem with examples.
•     Statement and proof of the Factor Theorem
•     The Factor Theorem is used to factorise ax2 + bx + c, a 0 where a, b, and c are real 
•     Further verification of identities of the type (x + y + z) 2 = x2 + y2 + z2 + 2xy + 2yz + 2zx, (x ± y)3 = x3 ± y3 ± 3xy (x ± y), x3 ± y3 = (x ± y) (x2 ± xy + y2), x3 + y3 + z3 – 3xyz = (x + y + z) (x2 + y2 + z2 – xy – yz – zx) and their use in factorization of polynomials
•     Simple expressions reducible to these polynomials.

 Unit III: Geometry

1. Introduction to Euclid’s Geometry

•     History: Geometry in India and Euclid’s geometry
•     Euclid’s method of formalising observed phenomena into rigorous Mathematics with definitions, common/obvious notions, axioms/postulates and theorems
•     The five postulates of Euclid
•     Equivalent versions of the fifth postulate

2. Lines and Angles

•     If a ray stands on a line, then the sum of the two adjacent angles formed is 180o.
•   If two lines intersect, vertically opposite angles are equal.
•     Results on corresponding angles, alternate angles, and interior angles when a transversal intersects two parallel lines.
•   Lines which are parallel to a given line are parallel
•     The sum of the angles of a triangle is 180o.
•     If a side of a triangle is produced, the exterior angle formed is equal to the sum of the two interior opposite angles. 

3. Triangles

•     Two triangles are congruent if any two sides and the included angle of one triangle are equal to any two sides and the included angle of the other triangle (SAS Congruence).
•   Two triangles are congruent if any two angles, and the included side of one triangle is equal to any two angles, and the included side of the other triangle (ASA Congruence).
•   Two triangles are congruent if the three sides of one triangle are equal to the three sides of the other triangle (SSS Congruence).
•     Two right triangles are congruent if the hypotenuse and a side of one triangle are equal (respectively) to the hypotenuse and a side of the other triangle.(RHS Congruence) 
•     The angles opposite to equal sides of a triangle are equal.
•   The sides opposite to equal angles of a triangle are equal.

 Unit 4: Coordinate Geometry

1. Coordinate Geometry

•     The Cartesian plane, coordinates of a point, names and terms associated with the coordinate plane, notations, plotting points in the plane.

 Unit V: Mensuration

1. Areas

•     The area of a triangle using Heron’s formula (without proof) and its application in finding the area of a quadrilateral.

 Mathematics Question Paper Design of Class 9 CBSE Board:

Outcome of the Study:

There are a lot of students that are curious about the advantages of learning Mathematics. While there are some who find it challenging and advocate for its elimination, there are others who find the topic intriguing. However studying Maths at Class 9 will render with some major beneficial outcomes – 

• Students will have the ability to use logical reasoning to categorise real numbers, prove the qualities of those numbers, and use those numbers in a variety of contexts.
• They can recognise or categorise polynomials among algebraic expressions, and they will be able to factorise them by applying the proper algebraic identities.
• Students can derive proofs of mathematical assertions relating to parallel lines, triangles, quadrilaterals, circles, and other related topics by applying an axiomatic method and then using these proofs to solve problems.
• Formulas for the surface areas and volumes of solid objects such as cubes, cuboids, right circular cylinders, cones, spheres, and hemispheres can be derived from them. In addition to that, students can apply them to things that are found in the surrounding environment. 

Internal Assessment for CBSE Class 9 Mathematics Term 2

Internal assessment will contribute 10 marks to each term-end score, totalling 20 for the final overall score of the CBSE Class 9 Mathematics Exam 2023–2024. The internal assessment will include the following different activities:

PRESCRIBED BOOKS 

1. Mathematics – Textbook for class IX – NCERT Publication 
2. Mathematics – Textbook for class X – NCERT Publication 
3. Guidelines for Mathematics Laboratory in Schools, class IX – CBSE Publication 
4. Guidelines for Mathematics Laboratory in Schools, class X – CBSE Publication 
5. Laboratory Manual – Mathematics, secondary stage – NCERT Publication 
6. Mathematics exemplar problems for class IX, NCERT publication. 
7. Mathematics exemplar problems for class X, NCERT publication.