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# CBSE Class 9 Maths Syllabus

The Syllabus in the subject of Mathematics has undergone changes from time to time in accordance
with the growth of the subject and emerging needs of the society. The present revised syllabus has been
designed in accordance with National Curriculum Framework 2005 and as per guidelines given in the
Focus Group on Teaching of Mathematics which is to meet the emerging needs of all categories of
students. For motivating the teacher to relate the topics to real-life problems and other subject
areas, greater emphasis has been laid on applications of various concepts.

### 1. Number System

- Introduction
- Irrational Numbers
- Real Numbers and their Decimal Expansions
- Representing Real Numbers on the Number Line
- Operations on Real Numbers
- Laws of Exponents for Real Numbers

### 2. Polynomials

- Introduction
- Polynomials in One Variable
- Zeroes of a Polynomial
- Remainder Theorem
- Factorization of Polynomials
- Algebraic Identities

### 3. Coordinate Geometry

- Introduction to Coordinate Geometry
- Cartesian System
- Plotting a Point in the Plane, if its Coordinates are given
- Review of Coordinate Geometry

### 4. Linear Equations in Two Variables

- Introduction to Linear Equations in two Variable
- Solution of a Linear Equation
- Graph of a Linear Equation in Two Variables
- Equations of Lines Parallel to x-axis and y-axis
- Applications of Linear Equation in 2 variables

### 5. Euclidean Geometry

- Introduction to Euclid's Geometry
- Euclid's Definitions, Axioms and Theorems
- Equivalent Versions of Euclid's Fifth Postulate

### 6. Lines and Angles

- Introduction to Lines and Angles
- Basic terms and Definitions
- Intersecting Lines and Non-intersecting Lines
- Pairs of Angles
- Parallel lines and a Traversal
- Lines Parallel to the Same Line
- Angle Sum Property of a Triangle

### 7. Triangles

- Introduction to Triangles
- Congruence of Triangles
- Criteria for Congruence of Triangles
- Properties for Congruence of Triangles
- Inequalities in a Triangle

### 8. Quadrilaterals

- Introduction to Quadrilaterals
- Angle Sum Property of a Quadrilateral
- Types of Quadrilaterals
- Properties of a Parallelogram
- Condition for a Quadrilateral to be a Parallelogram
- The Mid-point Theorem

### 9. Areas of Parallelograms and Triangles

- Introduction to Area of Parallelograms and Triangles
- Figures on the same Base and Between the same Parallels
- Parallelograms on the same Base and between the same Parallels
- Triangles on the same Base and between the same Parallels

### 10. Circles

- Introduction to Circles
- Circle and its Related Terms
- Angle Subtended by a Chord at a Point
- Perpendicular from the Centre to a Chord
- Circle through Three Points
- Equal Chords and their Distances from the Centre
- Angle Subtended by an Arc of a Circle
- Cyclic Quadrilaterals

### 11. Constructions

- Introduction to Constructions
- Basic Construction
- Construction of Triangles

### 12. Herons Formula

- Introduction to Heron's Formula
- Area of a Triangle by Heron's Formula
- Application of Heron's Formula in finding Areas of Quadrilaterals

### 13. Surface Areas and Volumes

- Introduction to Surface Areas & Volumes
- Surface Area of a Cuboid and a Cube
- Surface Area of a Right Circular Cylinder
- Surface Area of a Right Circular Cone
- Surface Area of a Sphere
- Volume of a Cuboid and Cube
- Volume of a Right Circular Cylinder
- Volume of a Right Circular Cone
- Volume of a Sphere

### 14. Statistics

- Introduction to Statistics
- Collection of Data
- Presentation of Data
- Geographical Representation of Data
- Measures of Central Tendency

### 15. Probability

- Introduction to Probability
- An Experimental Approach to Probability