# COURSE STRUCTURE CLASS –IX (As per CBSE)

## SYLLABUS MATHS CLASS 9 NCERT

#### Number Systems

• 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
• Summary

### Polynomials

• Introduction
• Polynomials in One Variable
• Zeroes of A Polynomial
• Remainder Theorem
• Factorization of Polynomials
• Algebraic Identities
• Summary

#### Coordinate Geometry

• Introduction
• Cartesian System
• Plotting A Point In The Plane If Its Coordinates Are Given
• Summary

### Linear Equations in Two Variables

• Introduction
• Linear Equations
• Solution of A Linear Equation
• Graph of A Linear Equation in Two Variables
• Equations of Lines Parallel to The X–Axis And Y–Axis
• Summary

#### Introduction to Euclid’s Geometry

• Introduction
• Euclid’s Definitions, Axioms And Postulates
• Equivalent Versions Of Euclid’s Fifth Postulate
• Summary

#### Lines And Angles

• Introduction
• Basic Terms And Definitions
• Intersecting Lines And Nonintersecting Lines
• Pairs Of Angles
• Parallel Lines And A Transversal
• Lines Parallel To The Same Line
• Angle Sum Property Of A Triangle
• Summary

#### Triangles

• Introduction
• Congruence Of Triangles
• Criteria For Congruence Of Triangles
• Some Properties Of A Triangle
• Some More Criteria For Congruence Of Triangles
• Inequalities In A Triangle
• Summary

• Introduction
• Angle Sum Property Of A Quadrilateral
• Properties Of A Parallelogram
• Another Condition For A Quadrilateral To Be A Parallelogram
• The Mid – Point Theorem
• Summary

### Areas Of Parallelograms And Triangles

• Introduction
• 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
• Summary

#### Circles

• Introduction
• Circles And Its Related Terms: A Review
• 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
• Summary

#### Constructions

• Introduction
• Basic Constructions
• Some Constructions Of Triangles
• Summary

### Heron’s Formula

• Introduction
• Area of A Triangle – By Heron’s Formula
• Application of Heron’s Formula in Finding Areas Of Quadrilaterals
• Summary

#### Surface Areas And Volumes

• Introduction
• 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
• Volume Of A Cylinder
• Volume Of A Right Circular Cone
• Volume Of A Sphere
• Summary

#### Statistics

• Introduction
• Collection Of Data
• Presentation Of Data
• Graphical Representation Of Data
• Measures Of Central Tendency
• Summary

#### Probability

• Introduction
• Probability – An Experimental Approach
• Summary