CBSE Class 9 Maths Syllabus 2022-23 pdf Download: Central Board of Secondary Education announced that CBSE 9th Maths syllabus. Knowing the Maths syllabus for Class 9 helps students understand the critical topics for the academic session. This article will provide the detailed syllabus for Class 9 for Maths subjects. This page you can get all the details about Maths syllabus 9th standard. this syllabus is very useful to studying class 9 in Maths.

9th Maths syllabus code number is 41, consists 6 topics namely number system, algebra, co-ordinate geometry, geometry, mensuration, statistics and probability. All those ninth Maths Syllabus section have separate marks for their examinations and explained the detail below. Maths language is widely spoken all over the world. Students who are interested in learning Maths through CBSE, this Class 9 Maths Syllabus is helpful for you. if you have any doubts abouts cbse Maths book for class 9 pdf can ask through Comment section.

## CBSE Class 9 Maths Syllabus Details

Board Name | Central Board of Secondary Education |

Standard | Class 9 |

Category | Syllabus |

Maths Code | 41 |

Subject | Maths |

Total Marks | 80 Marks |

### CBSE 9th Maths Syllabus 2022-2023 pdf

#### Unit I – Number System – 10 Marks

- Real Number
- Review of representation of natural numbers, integers, and rational numbers on the number line. Rational numbers as recurring/ terminating decimals. Operations on real numbers.
- Examples of non-recurring/non-terminating decimals. Existence of non-rational numbers (irrational numbers) such as , 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 - Definition of nth root of a real number.
- Rationalization
- Recall of laws of exponents with integral powers. Rational exponents with positive real bases

#### Unit II – Algebra – 20 Marks

- 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. 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

- 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 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

- Recall of linear equations in one variable. Introduction to the equation in two variables.

#### Unit III – Coordinate Geometry – 04 Marks

- The Cartesian plane, coordinates of a point, names and terms associated with the coordinate plane, notations

#### Unit IV – Geometry – 27 Marks

- Introduction to Euclid’s Geometry
- 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. (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

- 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
- Lines and Angles
- (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) Lines which are parallel to a given line are parallel.

- (Motivate) If a ray stands on a line, then the sum of the two adjacent angles so formed is 180O
- 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 is 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.

- Quadrilaterals
- (Prove) The diagonal divides a parallelogram into two congruent triangles.
- (Motivate) In a parallelogram opposite sides are equal, and conversely.
- (Motivate) In a parallelogram opposite angles are equal, and conversely.
- (Motivate) A quadrilateral is a parallelogram if a pair of its opposite sides is parallel and equal.
- (Motivate) In a parallelogram, the diagonals bisect each other and conversely.
- (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.

- Circles
- (Prove) Equal chords of a circle subtend equal angles at the center and (motivate) its converse.
- (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.
- (Motivate) Equal chords of a circle (or of congruent circles) are equidistant from the center (or their respective centers) and conversely.
- (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.
- (Motivate) Angles in the same segment of a circle are equal.
- (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.
- (Motivate) The sum of either of the pair of the opposite angles of a cyclic quadrilateral is 180° and its converse.

#### Unit V – Mensuration – 13 Marks

- Areas – Area of a triangle using Heron Formula
- Surface Areas and Volumes – Surface areas and volumes of spheres (including hemispheres) and right circular cones.

#### Unit VI – Statistics and probability – 06 Marks

- Bar graphs, histograms (with varying base lengths), and frequency polygons

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