# CBSE Revised Syllabus for Class 9 Maths 2022-23

The Class 9 Maths Syllabus for the 2022-23 academic session has been released by the CBSE board. Students must familiarise themselves with the CBSE Syllabus for Class 9 Maths as it will help them formulate a proper study plan. Vedantu provides a free PDF of the Maths Syllabus Class 9 for the reference of students. They can easily download the CBSE 9th Class Maths Syllabus by clicking on the link provided here. To perform well in the tests and annual exams, students must thoroughly analyse the CBSE 9th Maths Syllabus and make sure they devote time to each topic covered in the syllabus accordingly. You can also Download NCERT Maths Class 9 to help you to revise the complete Syllabus and score more marks in your examinations. Students can also avail of NCERT Class 9 Science from our website. Besides, find NCERT Solutions to get more understanding of various subjects.

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## CBSE Class 9 Maths Revised Syllabus 2022-23

 SI. No. UNIT NAME MARKS I Number Systems 10 II Algebra 20 III Coordinate Geometry 4 IV Geometry 27 V Mensuration 13 VI Statistics & Probability 6 TOTAL 80

## Unit- Number Systems

### 1. Number System

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, $\sqrt{2}$, $\sqrt{3}$ and their representation on the number.

2. Rationalization (with precise meaning) of real numbers of the type $\frac{1}{a + b\sqrt{x}}$ and $\frac{1}{\sqrt{x} +\sqrt{y}}$ 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

### 2. Linear Equations in Two Variable

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 with algebraic and graphical solutions being done simultaneously

## Unit-Coordinate Geometry

### 3. Coordinate Geometry

The Cartesian plane, coordinates of a point, names and terms associated with the coordinate plane, notations, plotting points in the plane.

## Unit-Geometry

### 4. Lines and Angles

1. (Motivate) If a ray stands on a line, then the sum of the two adjacent angles so formed is 180˚ 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 which are parallel to a given line are parallel.

5. (Prove) The sum of the angles of a triangle is 180˚.

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.

### 5. Triangles

1. (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).

2. (Motivate) 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).

3. (Motivate) Two triangles are congruent if the three sides of one triangle are equal to three sides of the other triangle (SSS Congruence).

4. (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)

5. (Prove) The angles opposite to equal sides of a triangle are equal.

6. (Motivate) The sides opposite to equal angles of a triangle are equal.

7. (Motivate) The sides opposite to equal angles of a triangle are equal.

## 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

## FAQs on CBSE Revised Syllabus for Class 9 Maths 2022-23

1. What are Polynomials? What are its types?

The term polynomial is a mixture of poly or many, and nomial which means terms. It is ideally an expression that is composed of exponents, variables, and constants. It is proved through equations like addition, multiplication, and subtraction. The monomial, polynomial, trinomial, and binomial is classified by determining the number of terms present in an equation.

A monomial is an expression that includes one term which is non zero. Whereas a binomial is a polynomial variant containing two terms. It is seen that a binomial can be a product or sum of two or more monomials. A trinomial exactly includes three terms.

2. What are the properties of a triangle?

The following are some of the relevant properties of a triangle:

• The sum of all the three angles present in a triangle must be equal to 180°.

• The length of the third side should be lesser than the sum of the length of the other two sides of the same triangle.

• The side opposite the greatest angle is the longest side of all the three sides of a triangle.

• Area of a triangle is calculated as half of the product of base and height.

• The perimeter is calculated as the sum of all the three sides of a triangle.

3. What are quadrilaterals? Explain some types.

Quadrilateral in general refers to a closed figure that has four sides. The basic types of quadrilaterals are:

1. Parallelogram: The opposite sides of this quadrilateral are parallel to each other.

2. Rectangle: In this quadrilateral, all the sides are at right angles to each other

3. Square: It is a quadrilateral that has all four sides of the same length.

4. Rhombus: It is similar to parallelogram but has all four sides equal.

5. Trapezium: It is a quadrilateral that has only one side parallel to each other while the other side is not parallel to each other.

4. How many classes have been devoted for each unit according to Class 9 Maths syllabus provided by CBSE?

The distribution of classes for each unit of Class 9th Maths syllabus (CBSE Board) is tabulated below:

 Unit No. of Classes Unit I: Real Numbers 18 Unit II: Algebra 42 Unit III: Coordinate geometry 7 Unit IV: Geometry 74 Unit VI: Mensuration 22 Unit VII: Statistics 15

5. What is the importance of knowing CBSE Class 9 Maths syllabus?

It is very important for a Class 9th student to know the maths syllabus designed by CBSE well in advance. Knowing the syllabus of maths can help the students in the following ways:

1. In preparing a study plan for examinations.

2. Pattern and distribution of marks.

3. Overview of important topics that should be given special importance.

4. Track topics that are still left to study.

5. Help them be confident during exams.