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UNITS | UNIT NAME | MARKS |
1 | NUMBER SYSTEMS | 10 |
2 | ALGEBRA | 20 |
3 | COORDINATE GEOMETRY | 04 |
4 | GEOMETRY | 27 |
5 | MENSURATION | 13 |
6 | STATISTICS & PROBABILITY | 06 |
| TOTAL | 80 |
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