CBSE Syllabus For Class 9 Maths 2020: Every student Class 9 in CBSE affiliated schools must be aware of the CBSE Syllabus for Class 9 Maths in order to ace the Maths exam. This is a must because you need to finish the CBSE Class 9 Maths syllabus thoroughly. Otherwise, you will face a lot of difficulty in Class 10 as the Class 10 Maths syllabus is related to the CBSE syllabus for Class 9 Maths. So, all the students who are in Class 9 and will appear for the Class 10 board exams must have a clear knowledge of CBSE Class 9 Maths Revised Syllabus and ensure they finish every concept and topic included in the syllabus.
Also, Maths plays an important role for students who want to take the Science stream in Class 11-12 and appear for engineering entrance exams, like JEE, BITSAT, etc. So in this article, we will provide you with all the detailed information regarding CBSE Syllabus For Class 9 Maths 2020. Read on to find out.
Latest Update: CBSE has released the revised syllabus for all subjects of class 9. Amid COVID-19 pandemic, the board has reduced the syllabus by 30%. We are providing here the CBSE syllabus of Class 9 Mathematics subject for the academic session 2020-21.
CBSE Class 9 Maths Revised Syllabus For 2020-21
Before getting into the detailed CBSE Syllabus For Class 9 Maths, let’s us look at the units included in CBSE Mathematics Syllabus along with the mark distribution:
|VI||Statistics & Probability||10|
Let us now see what all are included in each of these units.
|Statistics Mock Test||Statistics Practice Questions|
|Mensuration Mock Test||Mensuration Practice Questions|
|Geometry Mock Test||Geometry Practice Questions|
|Algebra Mock Test||Algebra Practice Questions|
CBSE Class 9 Maths Syllabus For Number Systems
1. Real Numbers (10 Periods)
1. Review of representation of natural numbers, integers, rational numbers on the number line. Rational numbers as recurring/ terminating decimals. Operations on real numbers. √2 , √3
2. Examples of non-recurring/non-terminating decimals. Existence of non-rational numbers (irrational numbers) such as their representation on the number line.
3. Rationalization (with precise meaning) of real numbers of the type (and their combinations) where x and y are natural numbers and a and b are integers.
Unit 1.4 &1.5 are deleted
6. 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 For Algebra
1. Polynomials (15 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. 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 + z3 – 3xyz = (x + y + z) (x2 + y2 + z2 – xy – yz – zx)
and their use in the factorization of polynomials.
2. Linear Equations in Two Variables (10 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. 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, 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, 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 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.
6. Circles (12 Periods)
Through examples, arrive at definition of circle and related concepts-radius, circumference, diameter, chord, arc, secant, sector, segment, subtended angle.
- 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) 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.
CBSE 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.
CBSE 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.
- 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 you are provided with all the detailed information regarding CBSE Syllabus For Class 9 Maths. Make sure you understand the theory behind all these concepts before memorizing the formulas and practicing. Like any other subject, Maths too need an understanding of the theories.
Finish the NCERT Maths textbook first. Then take free CBSE Class 9 Maths mock tests and solve free CBSE Class 9 Maths practice questions on Embibe. These will help you in various competitive exams like Olympiads and NTSE as well.
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