# CBSE CLASS 9 MATHS SYLLABUS

Chapter NoChapter NameNo of Session (1 Session = 1 Hour)
Total Number of Session60
Chapter 1Number Systems6
Chapter 2Polynomials6
Chapter 3Coordinate Geometry4
Chapter 4Linear Equations in Two Variables3
Chapter 5Introduction to Euclid’s Geometry1
Chapter 6Lines and Angles4
Chapter 7Triangles7
Chapter 9Areas of Parallelograms and Triangles6
Chapter 10Circles5
Chapter 11Constructions1
Chapter 12Heron’s Formula2
Chapter 13Surface Areas and Volumes3
Chapter 14Statistics2
Chapter 15Probability2

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## Chapter 1: Number System

1.1 Introduction to Number Line

1.2 Rational and Irrational Numbers

1.3 Locating Irrational Number On Number Line

1.4 Real Number and Their Decimal

1.5 Terminating, Non-Terminating and Recurring Decimals

1.6 Expressing Recurring Decimal To Fraction and Vice-Versa

1.7 Finding Irrational Number Between Two Rational Number

1.8 Finding Rational Number Between Two Irrational Number

1.9 Finding Irrational Number Between Two Irrational Number

1.10 Representing Real Number On The Number Line

1.11 Mathematical Operation on Real Number

1.12 Geometrical Representation of Root X

1.13 Rationalization

1.4 Laws of Exponent

## Chapter 2: Polynomial

2.1 Algebraic Expression and Polynomial

2.2 Identification of Polynomial

2.3 Types of Polynomial

2.4 Degree of a Polynomial

2.5 Zeroes of Polynomial

2.6 Remainder Theorem

2.7 Factor Theorem

2.8 Algebraic Identities

## Chapter 3: Co-ordinate Geometry

3.1 Introduction to Cartesian System, Rectangular Axes, Quadrant

3.2 Co-ordinate of Point

3.3 Sign of x-coordinate and y-coordinate in Different Quadrant

3.3 Plotting the Points on Co-ordinate Plane

## Chapter 4: Linear Equation in Two Variables

4.1 Co-efficient of Variables in Linear Equation in Two Variables as ax + by + c = 0

4.2 Solving of Linear Equation in Two Variables

4.3 Equation of Axes and Its Parallel Equations

4.4 Graphical Solution of Linear Equations In Two Variables

## Chapter 5: Euclid Geometry

5.1 Euclid’s Definition, Axioms, Theorems

5.2 Euclid’s Five Postulates

5.3 Equivalent Version of Fifth Postulates

## Chapter 6: Lines and Angles

6.1 Introduction to Line and Angles

6.2 Basic Terms and Definition About Lines

6.3 Different Types of Angles

6.4 Intersecting Lines and Non-Intersecting Lines

6.5 Linear Pairs of Angles

6.6 Transversal Line

6.7 Transversal Line of Parallel Lines

6.8 Angle Sum Property of a Triangle

6.9 Exterior Angle of a Triangle

## Chapter 7: Triangle

7.1 Introduction of Congruence

7.2 Criteria of Congruence of Triangle: SAS, SSS, ASA, AAS, RHS

7.3 Some Properties of a Triangle

7.4 Triangle Inequality

8.2 Angle Sum Property of Quadrilateral

8.3 Types of Quadrilaterals: Trapezium, Rectangle, Square, Parallelogram, Rhombus

8.4 Properties of Parallelogram

8.5 Conditions for Quadrilateral to be Parallelogram

8.6 Mid-Point Theorem

## Chapter 9: Area of Parallelogram and Triangle

9.1 Figures on Same Base and Between Same Parallel Lines

9.2 Parallelogram on the Same Base and Between the Same Parallel Lines

9.3 Triangles on the Same Base and Between the Same Parallel Lines

9.4 Median of a Triangle

## Chapter 10: Circles

10.1 Circle and Its Related Terms

10.2 Angle Subtended by a Chord

10.3 Perpendicular from Center to the Chord

10.4 Circle Through the Three Points

10.5 Equal Chords and Their Distance from the Center

10.6 Angle Subtended by an Arc

## Chapter 11: Construction

11.1 Construction of Bisector of an Angle

11.2 Construction of Perpendicular Bisector of Line Segment

11.3 Construction of 30, 60, 75, 90, 120, and 150 Degree

11.4 Construction of Triangle When Base, Base Angles and Sum of Other Two Sides are Given

11.5 Construction of Triangle When Base, Base Angles and Difference of Other Two Sides are Given

11.6 Construction of Triangle When Base Angles and Perimeter are Given

## Chapter 12: Heron’s Formula

12.1 Area of Triangle When Base and Height Are Given

12.2 Area of Equilateral Triangle

12.3 Area of Triangle by Heron’s Formula

12.4 Application of Heron’s Formula

## Chapter 13: Surface Area and Volume

13.1 Surface Area and Volume of Cuboid

13.2 Surface Area and Volume of Cube

13.3 Surface Area and Volume of Cylinder

13.4 Surface Area and Volume of Cone

13.5 Surface Area and Volume of Sphere

13.6 Surface Area and Volume of Combination of Solids Figures

## Chapter 14: Statistics

14.1 Raw Data and Organised Data

14.2 Representation of Data in Frequency Distribution Table

14.3 Graphical Representation of Data: Bar, Histogram and Frequency Polygon

14.4 Measures of Central Tendency

14.5 Mean, Median and Mode