Mathematics

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

Converse of Midpoint Theorem

Factorisation by Algebraic Identities: Illustration 2

Factorisation by Algebraic Identities: Illustration 1

Factorisation Using Difference of Two Squares: Example

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

Illustration of Construction of Triangle by ASA

Illustration of Construction of Triangle by SAS

Numerator and Denominator of a Rational Number

Triangle Inequality Theorem

Angle Sum Property of a Triangle

Area of a Square: Illustration

Area of a Rectangle: Illustration

Area of Closed Figures

Area of Rectangle & Square by Counting Unit Square

Basics of Data

Parallel Lines

Integers : Introduction

Application of Probability Tree

Ordered Pair Corresponding to a Point

Coordinates of Different Quadrants

Quadrants in the Cartesian System

Introduction to Probability

History of Coordinate Geometry

Application of Linear Equations in Two Variables

Irrational Numbers

Introduction to Experimental Probability

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 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

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

To Construct the Circumcircle of a Given Triangle

Inscribed Right Triangle Diameter Theorem

Concyclic Points

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

This chapter covers topics such as , Introduction to Coordinate Geometry &amp; Cartesian System, Slope and Intercepts, Graphical Solution of Linear Equations, Graph of Linear Equations in two Variables, Distance Formula and its Application.

Coordinate Geometry

In this chapter, we will be introduced to the concept of probability. It discusses&nbsp;that probability is&nbsp;the measure of the likeliness that an event will occur.

Probability

In this chapter, we will study various methods of representing the data in a frequency distribution table. It describes the interpretation of the data given in this form. We will also learn to construct the histograms and graphs from the given data.

Statistics

This chapter deals with the concept of surface area and volume of three-dimensional figures. It consists of various formulae which are used to calculate the surface area and volume of a cube, cuboid, cylinder, sphere, cone, etc.

Surface Areas and Volumes

The chapter introduces Heron’s formula found in the year 60 AD. We will learn how this formula is helpful for us in conducting geometrical calculations.

Heron's Formula

This chapter talks about the techniques of construction. We will learn that construction involves the drawing of various shapes using only a pair of compass and straight-edge or ruler.

Constructions

The chapter introduces a circle and its characteristics. Further, it explains the set of those points in a plane which are equidistant from a fixed point in the plane.

Circles

In this chapter, we will study the various formulas that are used to find out the area of parallelograms and triangles. It discusses some properties of triangles and parallelograms. It also covers some examples for the detailed explanation.

Areas of Parallelograms and Triangles

In this chapter, we will learn about quadrilaterals. A quadrilateral, sometimes also known as a tetragon or quadrangle (Johnson 1929), is a four-sided polygon. It states that all four polygon vertices are generally taken to lie in a plane.

Quadrilaterals

This chapter defines triangles and describes their properties. A triangle is a shape which is formed by three non-parallel lines. The three corners of a triangle are known as three internal angles.

Triangles

This chapter defines lines and angles. We will learn that a line is of infinite length that starts from infinity and ends at infinity. On the other hand, an angle is the combination of two non-collinear rays which meets at a common point.

Lines and Angles

The concept of linear equations is discussed in this chapter. We will learn about linear equations and their solutions. We will also understand the graph of linear equations.

Linear Equations in Two Variables

This chapter introduces polynomials, polynomials in one variable, zero of a polynomial, remainder theorem, factorization of polynomials and algebraic identities

Polynomials

The chapter introduces the decimal number system, real, rational and irrational numbers and their expansions along with exponents and its laws.

Number Systems

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