CBSE Class 9 Maths Syllabus 2024
CBSE Class 9 Maths Syllabus: We have provided the updated CBSE Class 9 Maths Syllabus here for the current academic session 2023-24. This syllabus, available in PDF format on the official CBSE website and on this page, remains largely unchanged from the previous year, offering students a stable foundation for their study plans. With Mathematics being a subject where good grades can be achieved, students must ensure a strong understanding of its concepts. To excel, it's essential to cover all 12 chapters and practice the textbook questions diligently. The syllabus further details chapter-wise topics, learning objectives, and marks distribution for a structured preparation approach.
CBSE Class 9 Maths Syllabus 2023 -24
The CBSE Class 9 Maths Syllabus changes occasionally to align with the subject's growth and society's changing needs. The new syllabus follows the National Curriculum Framework 2005 and suggestions from the Focus Group on Teaching Mathematics.
It's meant for all types of students. In secondary school, it helps students use math to solve everyday problems and study math as a separate subject. Students should learn to use algebra and basic trigonometry to solve problems.
They'll also do math experiments and learn about numbers, shapes, statistics, graphs, etc. The CBSE Class 9 Maths Syllabus PDF covers topics like the Number System, Algebra, Geometry, Trigonometry, Measurement, Statistics, Graphs, and Coordinate Geometry.
CBSE Class 9 Maths Syllabus Highlights
The table below helps students get a brief overview of the CBSE Class 9 Maths Syllabus:
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CBSE Class 9 Maths Syllabus Highlights |
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Subject |
Maths |
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Category |
Syllabus |
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Released by |
Central Board of Secondary Education |
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Academic Year |
2023-24 |
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Subject Code |
041 |
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Marking Scheme |
100 (80 marks theory + 20 marks Internal Assessments) |
CBSE Class 9 Maths Syllabus PDF Download
CBSE Class 9 Students can download the newly released CBSE Class 9 Syllabus for the academic year 2023-24 by clicking on the direct link below. This syllabus offers insights into what students will study in the academic year 2023-24.
CBSE Class 9 Maths Syllabus PDF Link
CBSE Class 9 Maths Course Structure 2023-23
The table below outlines the units covered in the CBSE Class 9 Maths Syllabus, along with the marks distribution of each unit.
CBSE Class 9 Course Structure 2023-24 |
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Unit No. |
Unit Name |
Marks Distribution |
|
1 |
Number Systems |
10 |
|
2 |
Algebra |
20 |
|
3 |
Coordinate Geometry |
04 |
|
4 |
Geometry |
27 |
|
5 |
Mensuration |
13 |
|
6 |
Statistics |
06 |
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Total |
80 |
|
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Internal Assesment |
20 |
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Total Marks |
100 |
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CBSE Class 9 Maths Syllabus Unit Wise
In the following section, students can clearly find the topics covered in each unit of the CBSE Class 9 Maths Syllabus.
CBSE Class 9 Maths Syllabus Unit I: Number Systems
The topics covered in Unit 1 of the CBSE Class 9 Maths Syllabus are as follows:
1. Real Numbers
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Review of representation of natural numbers, integers, and rational numbers on the number line.
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Rational numbers as recurring/ terminating decimals.
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Operations on real numbers.
2. Examples of Non-Recurring/Non-Terminating Decimals.
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Existence of non-rational numbers (irrational numbers), such as roots 2 and 3, and their representation on the number line.
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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 1a + b xand 1x + y(and their combinations) where x and y are natural numbers 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 learners to arrive at the general laws.)
CBSE Class 9 Maths Syllabus Unit II: Algebra
The topics covered in Unit 2 of the CBSE Class 9 Maths Syllabus are as follows:
Polynomials
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Definition of a polynomial in one variable, with examples and counter examples.
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Coefficients of a polynomial,
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Terms of a polynomial and zero polynomial.
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Degree of a polynomial.
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Constant, Linear, Quadratic and Cubic polynomials.
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Monomials, Binomials, Trinomials.
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Factors and Multiples.
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Zeros of a polynomial.
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Motivate and State the Remainder Theorem with examples.
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Statement and proof of the Factor Theorem.
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Factorization of ax2 + bx + c, a ≠ 0 where a, b and c are real numbers, and of cubic polynomials using the Factor Theorem.
2. Linear Equations In Two Variables
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Recall of linear equations in one variable.
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Introduction to the equation in two variables.
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Focus on linear equations of the type ax + by + c = 0
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Explain that a linear equation in two variables has infinitely many solutions and justify their being written as ordered pairs of real numbers,
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Pointing them and showing that they lie on a line.
CBSE Class 9 Maths Syllabus Unit III: Coordinate Geometry
The topics covered in Unit 3 of the CBSE Class 9 Maths Syllabus are as follows:
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The Cartesian Plane,
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Coordinates of a point,
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Names and terms associated with the coordinate plane,
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Notations.
CBSE Class 9 Maths Syllabus UNIT IV: GEOMETRY
The topics covered in Unit 4 of the CBSE Class 9 Maths Syllabus are as follows:
1. Introduction to EUCLID’S Geometry
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History - Geometry in India and Euclid's geometry. Euclid's method of formalizing observed phenomena into rigorous Mathematics with definitions, common/obvious notions, axioms/postulates, and theorems.
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The five postulates of Euclid. Showing the relationship between axiom and theorem, for example
1. (Axiom) Given two distinct points, there exists one and only one line through them.
2. (Theorem) (Prove) Two distinct lines cannot have more than one point in common.
2. Lines and Angles
1. (Motivate) If a ray stands on a line, then the sum of the two adjacent angles so formed is 180O and the converse.
2. (Prove) If two lines intersect, vertically opposite angles are equal.
3. (Motivate) Lines parallel to a given line are parallel.
3. Triangles
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(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).
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(Prove) Two triangles are congruent if any two angles and the included side of one triangle are equal to any two angles and the included side of the other triangle (ASA Congruence).
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(Motivate) Two triangles are congruent if the three sides of one triangle are equal to the three sides of the other triangle (SSS Congruence).
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(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)
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(Prove) The angles opposite to equal sides of a triangle are equal.
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(Motivate) The sides opposite to equal angles of a triangle are equal.
4. Quadrilaterals
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(Prove) The diagonal divides a parallelogram into two congruent triangles.
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(Motivate) In a parallelogram, opposite sides are equal and conversely.
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(Motivate) In a parallelogram, opposite angles are equal and conversely.
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(Motivate) A quadrilateral is a parallelogram if a pair of opposite sides is parallel and equal.
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(Motivate) In a parallelogram, the diagonals bisect each other and conversely.
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(Motivate) In a triangle, the line segment joining the midpoints of any two sides is parallel to the third side, and in half of it, and its converse.
5. Circles
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(Prove) Equal chords of a circle subtend equal angles at the center and (motivate) its converse.
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(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.
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(Motivate) Equal chords of a circle (or of congruent circles) are equidistant from the center (or their respective centers) and conversely.
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(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.
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(Motivate) Angles in the same segment of a circle are equal.
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(Motivate) If a line segment joining two points subtends an equal angle at two other points on the same side of the line containing the segment, the four points lie on a circle.
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(Motivate) The sum of either pair of the opposite angles of a cyclic quadrilateral is 180° and its converse.
CBSE Class 9 Maths Syllabus UNIT V: Mensuration
The topics covered in Unit 5 of the CBSE Class 9 Maths Syllabus are as follows:
1. Areas
Area of a triangle using Heron's formula (without proof)
2. Surface Area and Volumes
Surface areas and volumes of spheres (including hemispheres) and right circular cones.
CBSE Class 9 Maths Syllabus UNIT VI: Statistics
The topics covered in Unit 6 of the CBSE Class 9 Maths Syllabus are as follows:
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Bar Graphs
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Histograms (with varying base lengths), and
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Frequency Polygon
CBSE Class 9 Maths Question Paper Design 2023-24
The table below helps Class 9 students to know the way CBSE Class 9 Question Paper will be designed for the academic year 2023-24.
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CBSE Class 9 Maths Question Paper Design 2023-24 |
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S.No. |
Typology of Question |
Total Marks |
% Weightage (Approx) |
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1 |
Remembering: This is when you can remember things you've learned in the past, like facts, words, simple ideas, and answers. Understanding: This means you truly grasp the facts and ideas. You can do this by organizing information, comparing it, explaining it, translating it, interpreting it, describing it, and stating the most important points. |
43 |
54 |
|
2 |
Applying: This involves using your knowledge to solve new problems differently or creatively. You apply the knowledge, facts, techniques, and rules you've acquired to tackle fresh challenges. |
19 |
24 |
|
3 |
Analyzing: This means taking a close look at something, breaking it into parts, and figuring out why it happened or what caused it. You also make educated guesses and find proof to back up general ideas. Evaluating: Here, you express and support your opinions by making judgments about information, whether it's good or bad, valid or not. You use a set of criteria to do this. Creating: This is about bringing together fresh information. You can mix elements in a new pattern or suggest different solutions to a problem. |
18 |
22 |
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Total |
80 |
100 |
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CBSE Class 9 Maths Internal Assessment Syllabus
The table below outlines the different tests candidates need to clear during their CBSE Class 9 Maths Internal Assessment exams, along with the marking scheme of each test for the academic year 2023-24.
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CBSE Class 9 Maths Internal Assessment Syllabus |
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Test Details |
Marks Distribution |
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Pen Paper Test |
5 |
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Multiple Assessment |
5 |
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Portfolio |
5 |
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Lab Practical |
5 |
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Total |
20 mks |
Hope CBSE Class 9 students found the information provided in this article on the CBSE Class 9 Maths Syllabus to be helpful. We recommend that CBSE Class 9 students consider enrolling in PW CBSE Class 9 Online Classes for further guidance and support in their studies.
CBSE Class 9 Maths Syllabus 2023-24 FAQs
Q1: How many units are there in CBSE Class 9 Mathematics Syllabus 2023-24?
Ans: The CBSE Class 9 Mathematics Syllabus 2023-24 is divided into 6 units, covering topics like Coordinate Geometry, Number Systems, Algebra, Statistics, Geometry, and Mensuration.
Q2: Is NCERT Class 9 Mathematics book aligned with the CBSE Class 9 Maths Syllabus for?
Ans: Yes, NCERT Class 9 Maths book is perfectly aligned with the CBSE Class 9 Maths syllabus, ensuring comprehensive coverage of the required topics..
Q3: How many chapters are in the CBSE Class 9 Mathematics syllabus?
Ans: The CBSE Class 9 Mathematics syllabus comprises 15 chapters. Some easier chapters include Number Systems and Polynomials, while more challenging ones include Linear Equations in Two Variables, Trigonometry, Mensuration, and Statistics and Probability.
Q4: What is the significance of learning CBSE Class 9 Mathematics for students' overall academic progress?
Ans: Learning CBSE Class 9 Mathematics is crucial as it provides a strong foundation for higher-level math and enhances problem-solving skills.
Q5: How can students effectively prepare for the challenging chapters in the CBSE Class 9 Mathematics syllabus?
Ans: Effective preparation involves thorough understanding, practice, and seeking help from teachers or online resources for challenging chapters like Trigonometry and Mensuration.
