CBSE Class 9 Maths Syllabus 2024-25

CBSE Class 9 Mathematics Syllabus 2024-25

Students must follow the updated CBSE syllabus to ensure they are aligned with the official curriculum. With the most recent syllabus, students can focus on important topics, manage their study time effectively, and prepare for their exams with confidence using myCBSEGuide App. The Class 9 Maths Syllabus 2024-25 covers a broad range of essential topics designed to provide students with a strong foundation in mathematics. With key areas like Number Systems, Algebra, Coordinate Geometry, Geometry, Mensuration, and Statistics & Probability, this syllabus is structured to ensure comprehensive learning and exam readiness.

Key Topics in the CBSE Class 9 Mathematics Syllabus 2024-25

1. Number Systems
2. Algebra
3. Geometry
4. Mensuration
5. Statistics & Probability

Benefits of the Updated CBSE Class 9 Mathematics Syllabus

• Comprehensive Coverage: The syllabus is designed to cover all essential mathematical concepts, providing a strong foundation for Class 10 exams.
• Structured Learning Path: It offers a clear roadmap for students to follow, helping them break down complex topics into manageable sections.
• Efficient Exam Preparation: With a focus on important areas, students can streamline their study efforts to ensure they’re fully prepared for exams.

Having access to the updated Class 9 Maths Syllabus 2024-25 ensures that students stay on track with the curriculum, enabling effective and focused study sessions. Stay prepared and organized by downloading the syllabus and aligning your study plan accordingly. The updated syllabus ensures that students follow the myCBSEguide, staying organized and focused on the key topics.

Class 9 Mathematics Mobile App

CBSE Class 9
Mathematics (Code No. 041)
Syllabus (2024-25)

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COURSE STRUCTURE CLASS – IX

Units	Unit Name	Marks
I	NUMBER SYSTEMS	10
II	ALGEBRA	20
III	COORDINATE GEOMETRY	04
IV	GEOMETRY	27
V	MENSURATION	13
VI	STATISTICS	06
	Total	80

UNIT I: NUMBER SYSTEMS

1. REAL NUMBERS (18) Periods
   1. Review of representation of natural numbers, integers and rational numbers on the number line. Rational numbers as recurring/ terminating decimals. Operations on real numbers.
   2. 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. Explaining that every real number is represented by a unique point on the number line and conversely, viz. every point on the number line represents a unique real number.
   3. Definition of nth root of a real number.
   4. Rationalization (with precise meaning) of real numbers of the type abx1a+bx and xy1x+y (and their combinations) where x and y are natural number and a and b are integers.
   5. Recall of laws of exponents with integral powers. Rational exponents with positive real bases (to be done by particular cases, allowing learner to arrive at the general laws.)

UNIT II: ALGEBRA

1. POLYNOMIALS (26) Periods
   Definition of a polynomial in one variable, with examples and counter examples. 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. Motivate and State the Remainder Theorem with examples. Statement and proof of the Factor Theorem. Factorization of ax² + bx + c, a ≠ 0 where a, b and c are real numbers, and of cubic polynomials using the Factor Theorem.
   Recall of algebraic expressions and identities. Verification of identities:
   (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.
2. LINEAR EQUATIONS IN TWO VARIABLES (16) Periods
   Recall of linear equations in one variable. Introduction to the equation in two variables. Focus on linear equations of the type ax + by + c = 0. Explain that a linear equation in two variables has infinitely many solutions and justify their being written as ordered pairs of real numbers, plotting them and showing that they lie on a line.

UNIT III: COORDINATE GEOMETRY

• COORDINATE GEOMETRY (7) Periods
  The Cartesian plane, coordinates of a point, names and terms associated with the coordinate plane, notations.

UNIT IV: GEOMETRY

1. INTRODUCTION TO EUCLID’S GEOMETRY (7) Periods
   History – Geometry in India and Euclid’s geometry. Euclid’s method of formalizing observed phenomenon into rigorous Mathematics with definitions, common/obvious notions, axioms/postulates and theorems. The five postulates of Euclid. Showing the relationship between axiom and theorem, for example: (Axiom) 1. Given two distinct points, there exists one and only one line through them. (Theorem) 2. (Prove) Two distinct lines cannot have more than one point in common.
2. LINES AND ANGLES (15) Periods
   1. (Motivate) If a ray stands on a line, then the sum of the two adjacent angles so formed is 180^o and the converse.
   2. (Prove) If two lines intersect, vertically opposite angles are equal.
   3. (Motivate) Lines which are parallel to a given line are parallel.
3. TRIANGLES (22) Periods
   1. (Motivate) Two triangles are congruent if any two sides and the included angle of one triangle is equal to any two sides and the included angle of the other triangle (SAS Congruence).
   2. (Prove) 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).
   3. (Motivate) Two triangles are congruent if the three sides of one triangle are equal to three sides of the other triangle (SSS Congruence).
   4. (Motivate) 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)
   5. (Prove) The angles opposite to equal sides of a triangle are equal.
   6. (Motivate) The sides opposite to equal angles of a triangle are equal.
4. QUADRILATERALS (13) Periods
   1. (Prove) The diagonal divides a parallelogram into two congruent triangles.
   2. (Motivate) In a parallelogram opposite sides are equal, and conversely.
   3. (Motivate) In a parallelogram opposite angles are equal, and conversely.
   4. (Motivate) A quadrilateral is a parallelogram if a pair of its opposite sides is parallel and equal.
   5. (Motivate) In a parallelogram, the diagonals bisect each other and conversely.
   6. (Motivate) In a triangle, the line segment joining the mid points of any two sides is parallel to the third side and in half of it and (motivate) its converse.
5. Circles (17) Periods
   1. (Prove) Equal chords of a circle subtend equal angles at the center and (motivate) its converse.
   2. (Motivate) The perpendicular from the center of a circle to a chord bisects the chord and conversely, the line drawn through the center of a circle to bisect a chord is perpendicular to the chord.
   3. (Motivate) Equal chords of a circle (or of congruent circles) are equidistant from the center (or their respective centers) and conversely.
   4. (Prove) The angle subtended by an arc at the center is double the angle subtended by it at any point on the remaining part of the circle.
   5. (Motivate) Angles in the same segment of a circle are equal.
   6. (Motivate) If a line segment joining two points subtends equal angle at two other points lying on the same side of the line containing the segment, the four points lie on a circle.
   7. (Motivate) The sum of either of the pair of the opposite angles of a cyclic quadrilateral is 180^o and its converse.

UNIT V: MENSURATION

1.  AREAS (5) Periods
   Area of a triangle using Heron’s formula (without proof)
2. SURFACE AREAS AND VOLUMES (17) Periods
   Surface areas and volumes of spheres (including hemispheres) and right circular cones.

UNIT VI: STATISTICS
STATISTICS (15) Periods
Bar graphs, histograms (with varying base lengths), and frequency polygons.

MATHEMATICS
QUESTION PAPER DESIGN
CLASS – IX (2024-25)

Time: 3 Hrs.
Max. Marks: 80

S.No	Typology of Questions	Total Marks	% Weightage (approx.)
1.	Remembering: Exhibit memory of previously learned material by recalling facts, terms, basic concepts, and answers. Understanding: Demonstrate understanding of facts and ideas by organizing, comparing, translating, interpreting, giving descriptions, and stating main ideas	43	54
2.	Applying: Solve problems to new situations by applying acquired knowledge, facts, techniques and rules in a different way.	19	24
3.	Analysing: Examine and break information into parts by identifying motives or causes. Make inferences and find evidence to support generalizations Evaluating: Present and defend opinions by making judgments about information, validity of ideas, or quality of work based on a set of criteria. Creating: Compile information together in a different way by combining elements in a new pattern or proposing alternative solutions	18	22
	Total	80	100

INTERNAL ASSESSMENT	20 MARKS
Pen Paper Test and Multiple Assessment (5+5)	10 Marks
Portfolio	05 Marks
Lab Practical (Lab activities to be done from the prescribed books)	05 Marks

PRESCRIBED BOOKS:

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

CBSE Syllabus 2024-25

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How to Download CBSE Class 9 Maths Syllabus in PDF Format

To download the CBSE Class 9 Maths Syllabus in PDF format from myCBSEguide, follow these simple steps:

1. Visit the myCBSEguide Website: Open your web browser and go to the official website of myCBSEguide.
2. Navigate to the Syllabus Section: On the homepage, look for the “Syllabus” option in the top menu or the “CBSE Syllabus” tab, and click on it.
3. Select Class 9 Maths: From the list of available syllabi, select Class 9 and then choose Maths under the subjects.
4. Download the PDF: On the Class 9 Maths syllabus page, you will find an option to download the syllabus in PDF format. Click the Download button, and the syllabus will be saved to your device.

Now, you have the CBSE Class 9 Maths Syllabus in PDF format, ready to help you plan your studies!

Frequently Asked Question:

When will the CBSE 2025 syllabus be released?

The CBSE 2025 syllabus has already been released by the board. Students can now access the updated syllabus for all subjects, including the CBSE Class 9 Maths Syllabus 2024-25. This syllabus is available in PDF format, offering a convenient way for students to download and review the topics they need to focus on in preparation for their exams.

For those aiming to excel in their studies, it’s essential to stay informed and use reliable study resources. The myCBSEguide website provides the latest syllabus for all CBSE subjects, helping students stay aligned with the curriculum. The myCBSEguide App platform also offers a range of educational materials such as sample papers, chapter-wise test papers, NCERT solutions, and revision notes, all designed to streamline exam preparation.

Additionally, educators can take advantage of the Examin8 App and Examin8 Website to create customized mock tests and practice papers tailored to their students’ needs.