Science Genius Institute

Class 9 Mathematics Syllabus

Unit I: Number Systems

1.Number Systems

  • Introduction
  • Irrational Numbers
  • Real Numbers and Their Decimal Expansions
  • Operations on Real Numb

Unit II: Algebra

2.Polynomials

  • Introduction
  • Polynomials in One Variable
  • Zeroes of a Polynomial
  • Factorisation of Polynomials

3.Linear Equations in Two Variables

  • Introduction
  • Linear Equations
  • Solution of a Linear Equation

Unit III: Coordinate Geometry

  4.Coordinate Geometry

  • Introduction
  • Cartesian System

Unit IV: Geometry

5.Introduction to Euclid’s Geometry
Introduction

Euclid’s Definitions, Axioms and Postulates

6.Lines and Angles

  • Introduction
  • Basic Terms and Definitions
  • Intersecting and Non-intersecting Lines
  • Pair of Angles
  • Line Parallel to the Same Line

7.Triangles

  • Introduction
  • Congruence of Triangles
  • Criteria for Congruence of Triangles
  • Some Properties of Triangle
  • More Criteria for Congruence of Triangles

8.Quadrilaterals

  • Properties of a Parallelogram
  • The Mid-point Theorem.

9.Circles

  • Angle Subtended by a Chord at a Point
  • Perpendicular from the Centre to a Chord
  • Equal Chords and their Distance from the Centre
  • Angle Subtended by Arc of a Circle
  • Cyclic Quadrilaterals

Unit: V Mensuration

10.Heron’s Formula

  • Area of a Triangle using Heron’s Formula

11.Surface Areas and Volumes

  • Surface Area of a Right Circular Cone
  • Surface Area of a Sphere
  • Volume of Right Circular Cone
  • Volume of a Sphere

Unit: VI Statistics

12.Statistics

  • Graphical Representation of Data

Index
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