Mathematics

Arithmetic

Algebra covers chapters such as Linear Equations in Two Variables, Polynomials and Factorization and, Proofs in Mathematics Revision

Algebra

Geometry covers chapters such as Circles, Triangles, Quadrilaterals, Co-ordinate Geometry, Lines and Angles, Surface Areas and Volumes, Areas, Geometrical Constructions and, The Elements of Geometry

Geometry

Statistics and Probability covers chapters such as Probability and Statistics

Statistics and Probability

Mathematics Class 9

MATHEMATICS Textbook for Class IX

Implications of Conditional Statements

Biconditional Statements and Their Negations

Introduction to Non-euclidean Geometry

Euclid’s Fifth Postulate and the Equivalent

Measures of Dispersion

Problem Based on Midpoint Theorem

Converse of Midpoint Theorem

Proof of Midpoint Theorem

Midpoint Theorem

Factorisation Using Difference of Two Squares

Factorisation by Algebraic Identities: Illustration 2

Factorisation by Algebraic Identities: Illustration 1

Factorisation Using Difference of Two Squares: Example

Illustration Based on the SAS Criterion

Parallel & Transversal Lines: Illustration

Factorisation: (a³ + b³) and (a³ – b³)

Expansion of (a + b)^3

Expansion of (a + b + c)²

Perfect Square Polynomial: Illustration 3

Perfect Square Polynomial: Illustration 2

Perfect Square Polynomial: Illustration 1

Perfect Square Polynomial

Factorisation of Perfect Square Trinomial

Factorisation of Polynomials: Illustration 1

Application of the Remainder Theorem: Example 2

Application of the Remainder Theorem: Example 1

Remainder Theorem and Factor Theorem

Dividing Polynomial by a Polynomial

Geometrical Meaning of the Zeroes of a Polynomial

Zeros of a Polynomial

Polynomial: Terms, Coefficient and Degree

Exponents and Surds

Representation of Decimal Numbers on Number Line

Irrational Numbers: Geometrical Representation

Non-terminating Non-recurring Decimals

Application of (a²-b²)

Laws of Exponents: Some Examples

Rule of Power of a Quotient

Rule of Power of a Product

Rule for Division of Powers

Multiplying Powers With the Same Base

Introduction to Polynomials

Monomials, Binomials and Trinomials

Problems on Area of Rectangle and Square

Area of the Four Walls

Numerator and Denominator of a Rational Number

Criteria for Congruence of Triangles

Triangle Inequality Theorem

The Angle Sum Property of Triangle: Example

Angle Sum Property of a Triangle

Converse of Alternate Interior Angles

Understanding Co- Interior Angles

What Are Transversal Lines?

Closure and Commutative Properties of Real Numbers

Area of a Rectangle: Illustration

Interpretation of a Bar Graph

Basics of Bar Graph

Introduction to Data Handling

Organising Data and Frequency of Data

Basics of Data

Characteristics of Parallel Lines

Disjunction of Two Statements

Conjunction of Two Statements

Negation of a Statement

Mathematical Statement

Ordered Pair Corresponding to a Point

Coordinates of Different Quadrants

Quadrants in the Cartesian System

Introduction to Mathematical Induction

Prove a Trigonometric Result Under Given Condition

Theorems of Probability

Random Experiment & Theoretical Probability

Probability of Equally Likely Events

Introduction to Probability

Surface Area of Hollow Cylinders

Definition of Pi (π)

HCF of Polynomials

Irrational Numbers

Introduction to Experimental Probability

Mode of Data

Median of Ungrouped Data: Illustration

Median of Ungrouped Data

Illustration of Mean of Ungrouped Data

Arithmetic Mean of the Data

Understanding Raw Data

Volume of Cone and Sphere

Volume of Sphere

Volume of a Pyramid

Volume of Cone:Illustration

Volume of a Cone

Volume of a Cylinder When Radius is Doubled

Introduction to the Volume of a Cylinder

Practical Applications of Volume of Solids

Volume of Cubes and Cuboids: Problems

Volume of Cuboid and Cube: Examples

Surface Area of Hemisphere

Surface Area of a Sphere

Total Surface Area of a Cone

Curved Surface Area of a Cone: Examples

This chapter covers topics such as Introduction to Probability, Linking the Chance to Probability, Applications of Probability, Trials and Events and Random Experiment and Outcomes.

Probability

This chapter covers topics such as Surface Area and Volume of Right Circular Cylinder, Surface Area and Volume of Sphere, Surface Area and Volume Right Circular Cone and Surface Area and Volume of Cuboid.

Surface Areas and Volumes

This chapter covers topics such as Arithmetic Mean, Deviation in the Values of Central Tendency, Mode, Collection and Presentation of Data and Median.

Statistics

This chapter covers topics such as Plotting a Point on the Cartesian Plane, Introduction to Co-ordinate Geometry and Cartesian System.

Co-ordinate Geometry

This chapter covers topics such as Theorems, Conjectures and Axioms, Mathematical Proof, Mathematical Statements and its Verification and Reasoning in Mathematics.

Proofs in Mathematics Revision

This chapter covers topics such as Construction of Triangles (Special Cases), Basic Constructions and Construction of Standard Angles.

Geometrical Constructions

This chapter covers topics such as Perpendicular from the Centre to a Chord, Chords and their Distance from the Centre of the Circle, Cyclic Quadrilateral, Basic Terms Related to Circle, Angle Subtended by an Arc of a Circle, etc.

Circles

This chapter covers topics such as Area of Planar Regions, Parallelograms on the Same Base between Same Parallels, Triangles on the Same Base between Same Parallels and Figures on the Same Base between Same Parallels.

Areas

This chapter covers topics such as Basics of Quadrilaterals and its Types, Midpoint Theorem of Triangle, and Parallelograms and their Properties.

Quadrilaterals

This chapter covers topics such as Criteria for Congruence of Triangles, Introductory Concepts to Triangles, Some Properties of a Triangle and Inequalities in a Triangle.

Triangles

This chapter covers topics such as Graph of a Linear Equation in Two Variables, Solution of a Linear Equation in Two Variables, Introduction of Linear Equations in Two Variables and Equation of Lines Parallel to X-axis and Y-axis.

Linear Equations in Two Variables

This chapter covers topics such as Angle Sum Property of a Triangle, Parallel Lines, Basics of Lines and Angles, and Lines and a Transversal.

Lines and Angles

This chapter covers topics such as Euclid's Elements of Geometry, Introduction and History of Geometry and Non-Euclidean Geometry.

The Elements of Geometry

This chapter covers topics such as Algebraic Identities, Introduction to Polynomials and its Related Terms, Dividing Polynomials, Polynomials in One Variable and Factorising a Polynomial.

Polynomials and Factorization

This chapter covers topics such as Irrational Numbers, Surd, Law of Exponents for Real Numbers, Operations on Real Numbers, Real Numbers and its Representation on Number Line, and Basics of Rational Numbers.

Real Numbers

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