CBSE Class 9 Maths Syllabus 2022 – Latest Updated Syllabus of Term I and Term II – Download PDF

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Starting sincere studies from class 9 is important so that the candidates can make strong foundation for their board exams. As such it is also important that they gain complete familiarity with their syllabus and then study accordingly. The syllabus emphasizes on enhancing the ability of students to employ Mathematics in solving real life problems and studying the subject as a separate discipline. In this article, the candidates can find the complete details of the CBSE Class 9 Maths Syllabus 2022-2023.

CBSE Mathematics Syllabus 2022 for Class 9 1st Term 

Check below CBSE syllabus for class 9 Mathematics:

CBSE Class 9th Mathematics 1st Term 2022 Syllabus

Unit Name

Marks

Number Systems

8

Algebra

5

Coordinate Geometry

4

Geometry

13

Mensuration

4

Statistics & Probability

6

Total

40

Internal Assessment

10

Total

50 Marks

Unit – Number System

Number Systems

Review of representation of natural numbers, integers, rational numbers on the number line. Rational numbers as recurring/ terminating decimals. Operations on real numbers.

1. Examples of non-recurring/non-terminating decimals. Existence of non-rational numbers (irrational numbers) such as , √2,√3 and their representation on the number

2. Rationalization (with precise meaning) of real numbers of the type 1 𝑎+𝑏√𝑥 and 1 √𝑥+√√𝑦 (and their combinations) where x and y are natural number and a and b are integers.

3. 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- Algebra

  1. Linear Equations In Two Variables 

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, 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

Unit – Coordinate Geometry

Coordinate Geometry

Cartesian Plane, plotting points in the plane Coordinates of a point, names and terms associated with the coordinate plane, notations

Unit – Geometry

4. Lines and Angles (13 Periods)

  • (Motivate) If a ray stands on a line, then the sum of the two adjacent angles so formed is 180o and the converse
  • (Prove) If two lines intersect, vertically opposite angles are equal
  • (Motivate) Results on corresponding angles, alternate angles, interior angles when a transversal intersects two parallel lines
  • (Motivate) Lines which are parallel to a given line are parallel
  • (Prove) The sum of the angles of a triangle is 180o
  • (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

5. Triangles

  • (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)
  • (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)
  • (Motivate) Two triangles are congruent if the three sides of one triangle are equal to three sides of the other triangle (SSS Congruence)
  • (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)
  • (Prove) The angles opposite to equal sides of a triangle are equal
  • (Motivate) The sides opposite to equal angles of a triangle are equal
  • (Motivate) Triangle inequalities and relation between ‘angle and facing side’ inequalities in triangles

Unit – Mensuration

6. Heron’s Formula

Area of a triangle using Heron’s formula (without proof)

Unit-Statistics & Probability

7. Statistics

Introduction to Statistics: Collection of data, presentation of data — tabular form, ungrouped/ grouped, bar graphs, histograms

Internal Assessment Marks Total Marks
Periodic Tests 3 10 marks
Multiple Assessments 2
Portfolio 2
Student Enrichment Activities-practical work 3

CBSE Class 9th Maths Term II Syllabus 2022 – 2nd Term Syllabus

Unit Name

Marks

Algebra

12 marks

Geometry

15 marks

Mensuration

9 marks

Statistics & Probability

4 marks

Total

40 marks

Internal Assessment

10 marks

Total

50 marks

Unit – Algebra

1. Polynomials

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+2zx

(x+y)3=x3+y3+3xy(x+y)

x3+y3=(x+y) (x2+xy+y2)

and their use in factorization of polynomials.

Unit – Geometry

2. Quadrilaterals

  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.

3. Circles

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 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. (Motivate) 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 180° and its converse.

4. Constructions

1. Construction of bisectors of line segments and angles of measure 60˚, 90˚, 45˚ etc., equilateral triangles.

2. Construction of a triangle given its base, sum/difference of the other two sides and one base angle

Unit – Mensuration

5. Surface Areas and Volumes

Surface areas and volumes of cubes, cuboids, spheres (including hemispheres) and right circular cylinders/cones.

Unit – Statistics & Probability

6. Probability

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)

Internal Assessment Marks Total Marks
Periodic Tests 3 10 marks
Multiple Assessments 2
Portfolio 2
Student Enrichment Activities-practical work 3

 

CBSE Class 9 Maths New Syllabus 2022: Download PDF

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Updated: 2022-01-08 — 12:39 pm

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