Class 9 NCERT Maths Chapter Names
Chapter 1. Number Systems
Chapter 2. Polynomials
Chapter 3. Coordinate Geometry
Chapter 4. Linear Equations in Two Variables
Chapter 5. Introduction to Euclid’s Geometry
Chapter 6. Lines and Angles
Chapter 7. Triangles
Chapter 8. Quadrilaterals
Chapter 9. Circles
Chapter 10. Heron’s Formula
Chapter 11. Surface Areas and Volumes
Chapter 12. Statistics
Topics Covered – Class 9 Mathematics Chapter 1: Number Systems
- Review of number systems
- Natural numbers, whole numbers, integers, rational and irrational numbers
- Real numbers and their decimal expansions
- Representation of real numbers on the number line
- Operations on real numbers
- Laws of exponents for real numbers
- Representation of irrational numbers on the number line
- Approximations of irrational numbers using successive magnification
Topics Covered – Class 9 Mathematics Chapter 2: Polynomials
- Introduction to polynomials in one variable
- Degree of a polynomial
- Types of polynomials based on degree and terms
- Zero of a polynomial
- Remainder theorem
- Factor theorem
- Factorisation of polynomials
- Algebraic identities and their use in factorisation
Topics Covered – Class 9 Mathematics Chapter 3: Coordinate Geometry
- Introduction to the Cartesian coordinate system
- Cartesian plane and its terms: origin, axes, quadrants
- Coordinates of a point in the plane
- Plotting points in the Cartesian plane
- Applications of coordinate geometry
Topics Covered – Class 9 Mathematics Chapter 4: Linear Equations in Two Variables
- Introduction to linear equations in two variables
- Solution of a linear equation in two variables
- Graphical representation of linear equations
- Graph of a linear equation in two variables
- Equations of lines parallel to the x-axis and y-axis
Topics Covered – Class 9 Mathematics Chapter 5: Introduction to Euclid’s Geometry
- Introduction to Euclid’s geometry
- Euclid’s definitions, axioms, and postulates
- Relationship between axioms and theorems
- Euclid’s five postulates
- Equivalent versions of Euclid’s fifth postulate
- Examples illustrating Euclid’s axioms and postulates
Topics Covered – Class 9 Mathematics Chapter 6: Lines and Angles
- Basic terms and definitions related to lines and angles
- Properties of angles formed when two lines intersect
- Properties of angles formed when a transversal intersects two parallel lines
- Parallel and perpendicular lines
- Angle sum property of a triangle
Topics Covered – Class 9 Mathematics Chapter 7: Triangles
- Introduction to triangles and their types
- Congruence of triangles
- Criteria for congruence of triangles – SSS, SAS, ASA, AAS, RHS
- Properties of triangles
- Inequalities in a triangle
- Theorem on the sum of the angles of a triangle
- Theorem on the exterior angle of a triangle
Topics Covered – Class 9 Mathematics Chapter 8: Quadrilaterals
- Introduction to quadrilaterals
- Angle sum property of a quadrilateral
- Types of quadrilaterals and their properties
- Conditions for a quadrilateral to be a parallelogram
- Properties of a parallelogram
- Theorems on the diagonals of a parallelogram
- Mid-point theorem
Topics Covered – Class 9 Mathematics Chapter 9: Circles
- Introduction to circles and related terms
- 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 and their properties
Topics Covered – Class 9 Mathematics Chapter 10: Heron’s Formula
- Introduction to Heron’s formula
- Derivation of Heron’s formula for the area of a triangle
- Application of Heron’s formula to find the area of a triangle
- Application of Heron’s formula to find the area of quadrilaterals
- Solving real-life problems using Heron’s formula
Topics Covered – Class 9 Mathematics Chapter 11: Surface Areas and Volumes
- Surface area of a sphere
- Surface area of a hemisphere
- Surface area of a right circular cone
- Surface area of a right circular cylinder
- Surface area of a combination of solids
- Volume of a sphere
- Volume of a hemisphere
- Volume of a right circular cone
- Volume of a right circular cylinder
- Volume of a combination of solids
- Conversion of one solid shape into another
- Problems based on surface areas and volumes
Topics Covered – Class 9 Mathematics Chapter 12: Statistics
- Introduction to statistics
- Collection of data
- Presentation of data in tabular form
- Ungrouped and grouped data
- Bar graphs
- Histograms
- Frequency polygons
- Measures of central tendency – mean, median, and mode