NCERT Maths Class 9 forms the crucial foundation for higher mathematics learning in secondary education. This comprehensive resource covers all chapters from the NCERT Maths Class 9, including detailed explanations, solved examples, and practice problems to help students master essential mathematical concepts. Whether preparing for exams or building a strong base for Class 10, this guide offers step-by-step solutions and key concept explanations for every topic in the CBSE Class 9 mathematics curriculum.
NCERT Maths Class 9 Chapter-wise Learning Resources
Chapter 1: Number Systems
- Numbers Systems with question and answers
- Rational numbers with NCERT solutions Exercise 1.1
- Irrational numbers – complete concept
- Decimal expansion with NCERT solutions for Exercise 1.3
Chapter 2: Polynomials
- Chapter 2 Polynomial Summary for Class 9
- Zeroes of polynomials – formulas and solved problems
- Remainder theorem with step-by-step examples
- Factorization of polynomials – methods and practice questions
Chapter 3: Coordinate Geometry
- Cartesian coordinate system explanation for beginners
- Plotting points on coordinate plane – step-by-step guide
- Distance formula derivation and applications
- Coordinate geometry formulas and important questions
Chapter 4: Linear Equations in Two Variables
- Linear equation solutions with graphs and examples
- Graphical method for solving linear equations
- Word problems on linear equations with solutions
- Applications of linear equations in daily life
Chapter 5: Introduction to Euclid’s Geometry
- Euclid’s axioms and postulates explained
- Equivalent versions of Euclid’s fifth postulate
- History of geometry and Euclid’s contribution
- Important theorems and their applications
Chapter 6: Lines and Angles
- Types of angles – complementary, supplementary, adjacent
- Parallel lines and transversal properties with proofs
- Angle sum property of triangles – theorem and proof
- Lines and angles formulas for Class 9 exams
Chapter 7: Triangles
- Congruence of triangles criteria (SSS, SAS, ASA, AAS)
- Properties of triangles with solved examples
- Inequality in triangles – theorems and applications
- Important triangle theorems for Class 9 board exams
Chapter 8: Quadrilaterals
- Types of quadrilaterals and their properties
- Parallelogram theorems and proofs with diagrams
- Mid-point theorem with applications and examples
- Rectangle, rhombus and square properties – comparison
Chapter 9: Areas of Parallelograms and Triangles
- Area of triangle formula with derivation and examples
- Area of parallelogram formulas and applications
- Figures on the same base and between same parallels
- Area theorems with proofs and numerical problems
Chapter 10: Circles
- Circle terminology – radius, chord, arc, sector
- Angle subtended by an arc at the center
- Cyclic quadrilaterals properties and theorems
- Circle formulas and important theorems for exams
Chapter 11: Constructions
- Constructing angle bisectors with compass
- Triangle construction given three measurements
- Constructing tangents to a circle step-by-step
- Geometric constructions for Class 9 with examples
Chapter 12: Heron’s Formula
- Heron’s formula
- Area of triangle using Heron’s formula – solved problems
- Application based problems using Heron’s formula
- Area of quadrilaterals using Heron’s formula
Chapter 13: Surface Areas and Volumes
- Surface area of cube and cuboid formulas with examples
- Cylinder, cone and sphere surface area calculations
- Volume of a Sphere
- Volume of a cone
Chapter 14: Statistics
- Mean, median and mode calculation methods
- Bar graphs and histograms construction and interpretation
- Frequency distribution table preparation
- Statistical data analysis techniques for Class 9
Chapter 15: Probability
- Basic probability concepts for beginners
- Probability formula with solved examples
- Experimental probability vs theoretical probability
- Probability problems from CBSE Class 9 exams
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