Mathematics for Class 9 students

Course Curriculum

Chapter 1: Chapter 1 – Number System

Lecture 1: Natural Numbers and More

Lecture 2: Rational Numbers

Lecture 3: Rational and Irrational Numbers

Lecture 4: Number Between Numbers

Lecture 5: Terminating and Non-terminating Decimal Expansion

Lecture 6: Recurring Decimal and Rational Number

Lecture 7: Few Exercises with Rational and Irrational Numbers

Lecture 8: Operations on Real Numbers

Lecture 9: Geometrical Method for Finding Square Root

Lecture 10: Few Exercises on Locating Square Roots on Number Line

Lecture 11: Some Identities with Square Roots and Simplification

Lecture 12: Radical Sign and Laws of Exponents

Lecture 13: Questions that Challenge You Also Help You

Chapter 2: Chapter 2 – Polynomials

Lecture 1: Polynomials in Use

Lecture 2: Like and Unlike Terms

Lecture 3: Degrees and Zeroes of Polynomials

Lecture 4: Few Exercises on Degree, Value and Zeroes

Lecture 5: Remainder Theorem

Lecture 6: Factor Theorem

Lecture 7: Some Applications of Factor Theorem

Lecture 8: Identities and Non-identities

Lecture 9: Some Popular Identities

Lecture 10: Some More Algebraic Identities

Lecture 11: Application of Identities

Chapter 3: Chapter 3 – Coordinate Geometry

Lecture 1: Axis, Coordinates, Point Etc.

Lecture 2: Coordinate System

Lecture 3: Some Exercises on Coordinate Geometry

Chapter 4: Chapter 4 – Linear Equations in Two Variables

Lecture 1: Geometric Meaning of Linear Equations in Two Variables

Lecture 2: Linear Equations, Straight Line and Parallel Lines

Lecture 3: Few Examples of Linear Equations in Two Variables

Lecture 4: Few Applications of Linear Equations in Two Variables

Chapter 5: Chapter 5 – Introduction to Euclid's Geometry

Lecture 1: Euclid's Geometry — Some Definitions

Lecture 2: Euclid's Five Postulates

Lecture 3: Few Exercises on Euclid's Axioms and Postulates

Lecture 4: Equivalent Versions of Euclid's Fifth Postulate

Chapter 6: Chapter 6 – Lines and Angles

Lecture 1: Some Basic Terms Related to Lines, Angles and Transversal

Lecture 2: Some Exercises on Lines and Angles

Lecture 3: Parallel Lines, Transversal and Angles

Lecture 4: Some Exercises on Parallel Lines, Transversal and Angles

Lecture 5: Angle Sum Properties in Triangles

Lecture 6: Some Exercises on Triangles and Angles

Chapter 7: Chapter – 7 Triangles

Lecture 1: Congruence and Similarity

Lecture 2: Congruence Criteria — SAS and AAS

Lecture 3: Some Exercises on Congruence

Lecture 4: Some Theorems on Isosceles Triangles

Lecture 5: Exercise with Isosceles Triangles

Lecture 6: Congruence Rules — SSS and Right Triangles

Lecture 7: Inequalities in Triangle

Lecture 8: Some Exercises on Inequalities

Chapter 8: Chapter 8 – Quadrilaterals

Lecture 1: Quadrilaterals — Elements, Types and Some Properties

Lecture 2: Sides and Angles of Parallelogram

Lecture 3: Some Questions on Angles of Parallelogram

Lecture 4: Diagonals of Parallelogram

Lecture 5: Diagonals in Parallelograms and Rectangles

Lecture 6: Theorems on Side Intersection in Triangles

Chapter 9: Chapter 9 – Area of Parallelograms and Triangles

Lecture 1: Area and Perimeter

Lecture 2: Figures between Two Parallels

Lecture 3: Area of Figures between Same Parallels

Lecture 4: Triangles with Same Base and between Same Parallels

Lecture 5: Some Exercises on Area

Lecture 6: Some Applications of Area

Lecture 7: Area of Triangle and Triangulation

Chapter 10: Chapter 10 – Circles

Lecture 1: Circle — Few Terms and Definitions

Lecture 2: Angle Subtended by a Chord

Lecture 3: Perpendicular from the Centre to a Chord

Lecture 4: Circle through Three Points

Lecture 5: Equal Chords and Their Distances from the Centre

Lecture 6: Exercise on Length of Chord

Lecture 7: More Exercises on Circles and Chords

Lecture 8: Similar Exercise Using Circle, Triangle and Trigonometry

Lecture 9: Angle Subtended by an Arc of a Circle

Lecture 10: Cyclic Quadrilaterals

Chapter 11: Chapter 11 – Construction

Lecture 1: Bisecting An Angle

Lecture 2: Perpendicular Bisector of A Line Segment

Lecture 3: Construction of Angles

Lecture 4: Construction of Triangle – One Side, One Angle on It and Sum of Sides Given

Lecture 5: Construction of Triangle with One Side, One Angle on It and Difference of Sides

Lecture 6: Construction of Triangle – Two Angles and Perimeter Given

Chapter 12: Chapter 12 – Heron's Formula

Lecture 1: Heron's Formula for Area of A Triangle

Lecture 2: Some Applications of Heron's Formula

Chapter 13: Chapter 13 – Surface Areas and Volumes

Lecture 1: Surface Area and Volume of Solid Objects

Lecture 2: Surface Area of Cuboid, Cube and Cylinder

Lecture 3: Surface Area of Sphere and Hemisphere

Lecture 4: Some Application Questions on Surface Area

Lecture 5: Surface Area of Cone

Lecture 6: Volume of Cuboid, Cone, and Cylinder

Lecture 7: Application Questions on Volume and Surface Area