CBSE Syllabus for Class 9 Maths: In Class 9, Mathematics is one of the most important subjects and scoring subjects. Mathematics requires logical reasoning and analytical skills. To score well, students must fully understand the CBSE Class 9 Maths Syllabus for Term 1 and Term 2. It takes a lot of practice, a deep comprehension of topics, and memorising formulas to do well in the CBSE Class 9 Maths exam.
It is imperative to thoroughly review the Maths syllabus course structure and unit-wise weightage. CBSE Class 9 Term 2 Maths Syllabus comprises five key topics: Algebra, Geometry, Mensuration, Statistics, and Probability. Written exams account for 40 marks, while internal assessments account for ten marks. This article will provide you with detailed PDFs of the CBSE Class 9 Maths Term-2 Syllabus and chapter-wise marks distribution. Students can download CBSE Class 9 Term-2 Maths Syllabus from this article and save it for their future reference.
👉 The CBSE Class 10 Term 1 Results were announced on March 11, 2022, and Class 12 Term 1 Results were announced on March 15, 2022. Students can enter their roll numbers and check the results on their official website – cbseresults.nic.in. 👉 The CBSE Term 2 Examinations for Classes 10 and 12 will commence on April 26, 2022. 👉 Regular students can check the CBSE Exam Date Sheet 2022 from the official website of CBSE – cbse.nic.in and cbse.gov.in.
CBSE Syllabus for Class 9 Maths: Marking Scheme
Before we provide you with the detailed CBSE Syllabus Class 9 Maths for Term 1 and Term 2, let’s look at the unit-wise marking scheme and weightage of marks for both terms.
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. 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:
and their use in the factorisation of polynomials.
2. Linear Equations in Two Variables (10 Periods)
Recall linear equations in one variable. Introduction to the equation in two variables. Focus on linear equations of the type ax + by + c = 0. Prove 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. Graph of linear equations in two variables. Examples of problems from real life, including problems on Ratio and Proportion and with algebraic and graphical solutions being done simultaneously.
CBSE Class 9 Maths Syllabus for Coordinate Geometry
1. Coordinate Geometry (6 Periods)
The Cartesian plane, coordinates of a point, names and terms associated with the coordinate plane, notations, and plotting points in the plane.
CBSE Class 9 Maths Syllabus for Geometry
1. Lines and Angles (13 Periods)
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) Results on corresponding angles, alternate angles, interior angles when a transversal intersects two parallel lines.
4. (Motivate) Lines that are parallel to a given line are parallel.
5. (Prove) The sum of the angles of a triangle is 180o.
6. (Motivate) If a side of a triangle is produced, the exterior angle so formed is equal to the sum of the two interior opposite angles.
2. Triangles (20 Periods)
1. (Motivate) 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).
2. (Motivate) Two triangles are congruent if the three sides of one triangle are equal to three sides of the other triangle (SSS Congruence).
3. (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).
4. (Prove) The angles opposite to equal sides of a triangle are equal.
5. (Motivate) The sides opposite to equal angles of a triangle are equal.
4. Quadrilaterals (10 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 are 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 midpoints of any two sides is parallel to the third side and in half of it and (motivate) its converse.
6. Circles (12 Periods)
Through examples, arrive at the definition of a circle and related concepts-radius, circumference, diameter, chord, arc, secant, sector, segment, and subtended angle.
1. (Prove) Equal chords of a circle subtend equal angles at the centre and (motivate) its converse.
2. (Motivate) The perpendicular from the centre of a circle to a chord bisects the chord and conversely, the line drawn through the centre 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 centre (or their respective centres) and conversely.
4. (Prove) The angle subtended by an arc at the centre 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) The sum of either of the pair of the opposite angles of a cyclic quadrilateral is 180o and its converse.
7. Constructions (5 Periods)
1. Construction of bisectors of line segments and angles of measure 60o, 90o, 45o etc., equilateral triangles.
2. Construction of a triangle given its base, sum/difference of the other two sides and one base angle.
Class 9 Maths Syllabus for Mensuration
1. Areas (2 Periods)
Area of a triangle using Heron’s formula (without proof).
2. Surface Areas and Volumes (12 Periods)
Surface areas and volumes of cubes, cuboids, spheres (including hemispheres) and right circular cylinders/cones.
Class 9 Maths Syllabus for Statistics & Probability
1. Statistics (6 Periods)
Introduction to Statistics: Collection of data, presentation of data – tabular form, ungrouped / grouped, bar graphs.
2. Probability (9 Periods)
History repeated experiments and observed frequency approach to probability.
The focus is on empirical probability. (A large amount of time to be devoted to group and to individual activities to motivate the concept; the experiments to be drawn from real-life situations, and from examples used in the chapter on statistics).
Now that you are provided with all the detailed information regarding CBSE Syllabus For Class 9 Maths, make sure you understand the concept behind all these theories before memorising the formulas and start practising questions. Like any other subject, Math to needs an understanding of the theories. It is a subject of understanding rather than learning.
Maths being an application-based subject, it is crucial for all Class 9 students to learn the mathematical concepts and know their practical applications. Students can keep the chapter-wise tips and tricks to prepare better for their annual Maths exam.
Keep all the important theorems and formulas on the tip of your fingers. Prepare a small notebook that contains all essential equations and formulas and revise them diligently before exams.
Finish the NCERT Books for Class 9 Maths and then opt for reference books.
Solve all the in-text problems and refer to the NCERT Solutions for Class 9 Maths to understand a step-by-step approach to every question.
Try to finish the syllabus portions that contain higher weightage and then move on to the units with lesser marks.
Solve CBSE Sample Papers for Class 9 and previous year question papers to boost exam confidence. Make sure you give these exams in a single sitting of 3 hours.
Take note of the below chapter-wise preparation tips to prepare better for the term 2 exams:
Polynomials: Try to understand all the Polynomials definitions along with their coefficients and degrees.
Quadrilaterals: Try to focus on all the types of quadrilaterals and their properties.
Circles: Learn all the important properties and theorems associated with Circles. Practice the required diagrams.
Constructions: Practice various triangles and angles to score good marks in this section.
Surface Areas and Volumes: Try to practice various numericals to calculate the area and volume of cubes, cuboids, spheres and cylinders.
Statistics: This chapter is all about data collection and representation through graphs and tables. You must learn and practice how to calculate mean, median, and mode.
Let’s look at some of the commonly asked questions about the CBSE Class 9 Maths Syllabus for Term-2:
Q1. What are the best books to prepare for CBSE Class 9 final examination? Ans: To score well in the CBSE Class 9 final exam, you should prepare from the NCERT textbooks because they teach the basic concepts in simple language. It will be easy for you to understand the chapters well from the NCERT books.
Q2. Where can I download the CBSE Class 9 new syllabus for Term 1 and Term 2? Ans: All CBSE Class 9 students are advised to download the latest syllabus for Term 1 and Term 2 provided here on this page.
Q3. Is the Class 9 Maths exam tough to qualify for? Ans:It is not that difficult. You can easily pass the exam with good marks if you prepare well and on time. For a subject like Maths, practice is the key to success.
Q4. Will the syllabus CBSE Class 9 2021-22 be reduced like the previous year? Ans:No, for this academic year that is 2021-22, the syllabus for CBSE Class 9 has been reinstated to 100% by the official authorities.
Q5. Are NCERT Books related to CBSE Syllabus? Ans:Yes, the NCERT Books are associated with CBSE Course Curriculum.
Q6. How many chapters are there in CBSE Class 9 Maths? Ans:There are 15 chapters in class 9 Maths.
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