Detailed Syllabus for Class 9
Mathematics
Number System
- Real numbers and their decimal expansions
- Rational and irrational numbers
- Euclid's division lemma
- Fundamental Theorem of Arithmetic
- Rational numbers and their decimal expansions
Exponents of Real Numbers
- Laws of exponents
- Rational exponents
Rationalisation
- Rationalisation of denominators
- Surds and their properties
Algebraic Identities
- Expansion of algebraic expressions
- Factorisation of algebraic expressions
Factorisation of Polynomials
- Factorisation by common factor
- Factorisation by grouping
- Factorisation using identities
- Factorisation of quadratic polynomials
Introduction to Euclid's Geometry
- Euclid's axioms
- Euclid's postulates
- Euclid's propositions
Lines and Angles
- Basic concepts of lines and angles
- Types of angles
- Properties of parallel lines
- Properties of transversals
Triangle and its Angles
- Angle sum property of a triangle
- Exterior angle property of a triangle
- Congruence of triangles
- Inequalities in a triangle
Congruent Triangles
- Congruence of triangles
- Criteria for congruence of triangles
Coordinate Geometry
- Cartesian plane
- Plotting of points
- Distance formula
- Section formula
- Area of a triangle
Heron's Formula
- Heron's formula for finding the area of a triangle
Linear Equation in Two Variables
- Linear equations in two variables
- Graphical representation of linear equations
Quadrilaterals
- Properties of a quadrilateral
- Types of quadrilaterals
- Properties of a parallelogram
- Properties of a rectangle
- Properties of a square
- Properties of a rhombus
- Properties of a trapezium
Areas of Parallelograms and Triangles
- Area of a parallelogram
- Area of a triangle
Circles
- Basic concepts of a circle
- Chord, diameter, radius, arc, sector, segment
- Tangent to a circle
- Number of tangents from a point on a circle
Constructions
- Basic constructions of lines and angles
- Bisecting a line segment
- Bisecting an angle
- Constructing perpendiculars
Surface Area and Volume of a Cuboid and Cube
- Surface area and volume of a cuboid
- Surface area and volume of a cube
Surface Area and Volume of a Right Circular Cylinder
- Basic concepts of a right circular cylinder
- Surface area and volume of a right circular cylinder
Surface Area and Volume of Right Circular Cone
- Basic concepts of a right circular cone
- Surface area and volume of a right circular cone
Surface Area and Volume of Sphere
- Basic concepts of a sphere
- Surface area and volume of a sphere
Tabular Representation of Statistical Data
- Raw data and array
- Frequency distribution
- Cumulative frequency distribution
Graphical Representation of Statistical Data
- Bar graph
- Histogram
- Frequency polygon
Measures of Central Tendency
- Mean, median and mode of ungrouped data
- Mean, median and mode of grouped data
Probability
- Probability of an event
- Addition and multiplication rules of probability
This syllabus will cover all the important topics of Class 9 Mathematics.
This course is helpful for the following exams: Class 9