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Here is the overview of class 9 Mathematics Chapters
Class 9 Mathematics - Complete Guide
Chapter 1: Number Systems
- Introduction to Real Numbers
- Classification of Real Numbers
- Euclid’s Division Lemma
- Fundamental Theorem of Arithmetic
Chapter 2: Polynomials
- Introduction to Polynomials
- Types of Polynomials
- Degree of a Polynomial
- Zeroes of a Polynomial
- Remainder Theorem and Factor Theorem
Chapter 3: Coordinate Geometry
- Introduction to Coordinate Geometry
- Distance Formula
- Section Formula
- Area of Triangle
Chapter 4: Linear Equations in Two Variables
- Introduction to Linear Equations
- Graphical Method of Solution
- Algebraic Methods of Solution
- Applications
Chapter 5: Introduction to Euclid’s Geometry
- Definitions and Axioms
- Postulates of Euclid
- Euclid’s Fifth Postulate
- Basic Propositions
Chapter 6: Lines and Angles
- Basic Terms and Definitions
- Properties of Angles
- Parallel Lines and Transversals
- Angle Sum Property of Triangle
Chapter 7: Triangles
- Basic Properties of Triangles
- Congruence of Triangles
- Criteria for Congruence
- Properties of Isosceles and Equilateral Triangles
Chapter 8: Quadrilaterals
- Introduction to Quadrilaterals
- Types of Quadrilaterals
- Properties of Special Quadrilaterals
- Angle Sum Property
Chapter 9: Areas of Parallelograms and Triangles
- Area of Parallelograms
- Area of Triangles
- Comparison of Areas
Chapter 10: Circles
- Introduction to Circles
- Properties of Circles
- Tangents to a Circle
- Angle Subtended by a Chord
Chapter 11: Constructions
- Introduction to Constructions
- Basic Constructions (Bisecting Angles, Drawing Perpendiculars)
- Constructing Triangles
Chapter 12: Heron’s Formula
- Introduction to Heron’s Formula
- Derivation and Application
- Area of a Triangle using Heron’s Formula
Chapter 13: Surface Areas and Volumes
- Surface Areas of Solids
- Volumes of Solids
- Cylinders, Cones, and Spheres
Chapter 14: Statistics
- Introduction to Statistics
- Mean, Median, Mode
- Graphical Representation of Data
Chapter 15: Probability
- Introduction to Probability
- Basic Definitions and Terms
- Simple Problems on Probability
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