COURSE STRUCTURE CLASS –IX (As per CBSE)

UNITSUNIT NAMEMARKS
1NUMBER SYSTEMS10
2ALGEBRA20
3COORDINATE GEOMETRY04
4GEOMETRY27
5MENSURATION13
6STATISTICS & PROBABILITY06
TOTAL80

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

Quadrilaterals

  • Introduction
  • Angle Sum Property Of A Quadrilateral
  • Types Of Quadrilaterals
  • 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
  • Cyclic Quadrilaterals
  • 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