mathematics

This subject covers units such as geometry, algebra, arithmetic and, statistics and probability

Arithmetic contains chapter Number Systems

Arithmetic

Algebra covers chapters such as Polynomials and Linear Equations in Two Variables

Algebra

Geometry covers chapters such as Circles, Triangles, Quadrilaterals, Coordinate Geometry, Constructions, Heron's Formula, Lines and Angles, Surface Areas and Volumes and, Areas of Parallelograms and Triangles

Geometry

Statistics and Probability covers chapters such as Probability and Statistics

Statistics and Probability

A Textbook of Mathematics For Class 9

MATHEMATICS Textbook for Class IX

Area of Quadrilateral Using Heron's Formula

Area of a Triangle by Heron's Formula

Converse of Midpoint Theorem

Exponents & Logarithms

Factorisation by Algebraic Identities: Illustration 2

Factorisation by Algebraic Identities: Illustration 1

Factorisation Using Difference of Two Squares: Example

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

Factor Theorem: Illustration

Remainder Theorem and Factor Theorem

Dividing Polynomial by a Polynomial

Geometrical Meaning of the Zeroes of a Polynomial

Zeros of a Polynomial

Fractions to Decimals and Decimals to Fractions

Non-terminating Non-recurring Decimals

Application of (a²-b²)

Introduction to Polynomials

Area of the Four Walls

Illustration of Construction of Triangle by ASA

Illustration of Construction of Triangle by SAS

Numerator and Denominator of a Rational Number

Triangle Inequality Theorem

Closure and Commutative Properties of Real Numbers

Area of a Rectangle: Illustration

Basics of Data

Parallel Lines

Integers : Introduction

Ordered Pair Corresponding to a Point

Coordinates of Different Quadrants

Quadrants in the Cartesian System

Introduction to Probability

Application of Linear Equations in Two Variables

Irrational Numbers

Introduction to Experimental Probability

Mode of Data

Median of Ungrouped Data: Illustration

Median of Ungrouped Data

Problem on Finding Corrected Mean

Illustration of Mean of Ungrouped Data

Arithmetic Mean of the Data

Understanding Raw Data

Introduction to Statistics

Surface Area of Hemisphere

Surface Area of a Sphere

Surface Area of a Pyramid

Total Surface Area of a Cone

Curved Surface Area of a Cone: Examples

Curved Surface Area of a Cone

Surface Area of a Right Prism

Surface Area of a Cylinder:Examples

Introduction to Area of a Cylinder

Surface Area of a Cuboid: Example

Lateral Surface Area of a Cuboid: Example

Three Dimensional Shapes

Constructing an Angle Congruent to a Given Angle

Construction of Angles 90º and 45º

To Construct Angle Bisector and an Angle of 30º

Perpendicular Bisector Theorem

Construction of Perpendicular Bisector of a Line Segment

Construction of Angle Bisector

Cyclic Quadrilaterals

Congruent Chords

Illustration on Arcs and Chords of a Circle

Angle Subtended by the Minor Arc at the Centre

Application of Central Angle Theorem

Angle Subtended by an Arc on the Circle

Angle Subtended by Two Minor Arcs

Angle Subtended by an Arc of a Circle

Congruent and Parallel Chords of a Circle

Chords Equidistant From the Centre: Theorem

Equal Chords and Their Distances From the Centre

Two Circles Touching Each Other

Distance Between Parallel Chords 

Perpendicular Distance of a Chord From the Centre

Perpendicular Bisector of a Chord of a Circle

Perpendicular From Centre to Chord

Segment of a Circle

Arc of a Circle: Illustration 2

Arc of a Circle: Illustration

Arc of a Circle

Regions of Circle

Circle and Its Related Terms

Triangles on the Same Base

Parallelograms on the Same Base

Inequalities in a Triangle for Larger Angle

Inequalities in a Triangle for Longer Side

Altitudes of an Equilateral Triangle

Application of the Apollonius Theorem

Introduction to the Apollonius Theorem

This chapter covers topics, such as, Construction of Triangles & Basic Construction etc.

Constructions

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

Linear Equations in Two Variables

This chapter covers topics, such as, Euclid's Definition, Axioms and Postulates, Angle sum property of a Triangle, Types of Angles, Types of Lines & Basics of Lines and Angles etc.

Lines and Angles

This chapter covers topics, such as, Congruence of Triangles, Some Properties of a Triangle, Inequalities in a Triangle & RHS and SSS Criteria for Congruence etc.

Triangles

This chapter covers topics, such as, Understanding Area of Plane Figures, Triangles on the Same Base and between Same Parallels & Parallelograms on the Same Base and between Same Parallels etc.

Areas of Parallelograms and Triangles

This chapter covers topics, such as, Area of Triangle & Area of Quadrilateral Using Heron's Formula etc.

Heron's Formula

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 & Surface Area and Volume of Cuboid etc.

Surface Areas and Volumes

This chapter covers topics, such as, Introduction to Number Systems, Laws of Exponents for Real Numbers, Real Numbers and their decimal expression & Definition and Laws of Logarithms etc.

Number Systems

This chapter covers topics, such as, Introduction to Coordinate Geometry, Plotting a Point on the Cartesian Plane & Cartesian System etc.

Coordinate Geometry

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

Quadrilaterals

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

Circles

This chapter covers topics, such as, Zeroes of a Polynomial, Polynomials in One Variable, Remainder Theorem, Algebraic Identities & Factorisation of Polynomials etc.

Polynomials

This chapter covers topics, such as, Collection and Presentation of Data & Measures of Central Tendency etc.

Statistics

This chapter covers topics, such as, Introduction to Probability & Applications of Probability etc.

Probability

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