Mathematics

Arithmetic

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

Algebra

Geometry covers chapters such as Circles, Triangles, Quadrilaterals, Lines and Angles, Areas, Geometrical Constructions and, The Elements of Geometry

Geometry

Co-ordinate Geometry contains chapter Co-ordinate Geometry

Co-ordinate Geometry

Statistics and Probability covers chapters such as Probability and Statistics

Statistics and Probability

Mensuration contains chapter Surface Areas and Volumes

Mensuration

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

Problem Based on Midpoint Theorem

Converse of Midpoint Theorem

Proof of Midpoint Theorem

Midpoint Theorem

Factorisation Using Difference of Two Squares

Properties of Triangles

Factorisation by Algebraic Identities: Illustration 2

Factorisation by Algebraic Identities: Illustration 1

Factorisation Using Difference of Two Squares: Example

Arithmetic Mean

Division of a Trinomial by a Trinomial

Illustration Based on the SAS Criterion

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

Exponents and Surds

Representation of Decimal Numbers on Number Line

Irrational Numbers: Geometrical Representation

Non-terminating Non-recurring Decimals

Application of (a²-b²)

Rule of Power of a Quotient

Rule of Power of a Product

Introduction to Polynomials

Monomials, Binomials and Trinomials

Practical Problems on Area of a Road

Applications on Area of Rectangle

Problems on Area of Rectangle and Square

Area of the Four Walls

Illustration of Construction of Triangle by ASA

Line Parallel to Given Line of External Point

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

Exterior Angle Theorem

Exterior Angle of a Triangle

Converse of Alternate Interior Angles

Angles Made by Transversal of Parallel Lines

What Are Alternate Interior Angles?

Understanding Co- Interior Angles

Different Angles Made by Transversal

What Are Transversal Lines?

Perpendicular Bisector of a Line Segment

Closure and Commutative Properties of Real Numbers

Drawing a Bar Graph

Interpretation of a Bar Graph

Basics of Bar Graph

Introduction to Graphs

Introduction to Data Handling

Organising Data and Frequency of Data

The Relationship Between Radius and Diameter

Introduction to a Circle

Integers : Introduction

Application of Probability Tree

Disjunction of Two Statements

Conjunction of Two Statements

Negation of a Statement

Mathematical Statement

Coordinates of Different Quadrants

Quadrants in the Cartesian System

Random Experiment & Theoretical Probability

Introduction to Probability

Surface Area of Hollow Cylinders

Definition of Pi (π)

Problems on Circumference of a Circle

Application of Linear Equations in Two Variables

Division of a Polynomial by a Polynomial

Factors of a Quadratic Polynomial

Degree of a Polynomial

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

Volume of Cone and Sphere

Volume of Sphere

Volume of a Pyramid

Volume of Cone:Illustration

Volume of a Cone

In this chapter, we will learn about probability. We will understand the concept of mutually exclusive events. It discusses probability in the deck of cards. Further, it tells us about the other uses and applications of probability.

Probability

In this chapter, we will understand some basic concepts of statistics. It tells how to find the mean of ungrouped data and median and mode of grouped data. Further, it explains the graphical representation of cumulative frequency distribution.

Statistics

Through this chapter, we will discuss the mathematical statements. The mathematical statement is either true or false. With the aid of an example, we will identify the mathematical statements. In addition, question banks are given here for practice.

Proofs in Mathematics Revision

Through this chapter, we will learn how to draw different geometrical shapes. It discusses some tips for drawing accurate geometrical shapes. It also describes the construction of various triangles with different properties.

Geometrical Constructions

This chapter explains the terms related to a circle. It explores the angles subtended by an arc or a chord of a circle. Furthermore, it teaches us how to draw a circle passing through three points. It also briefs on cyclic quadrilaterals.

Circles

In this chapter, we will learn to find the area of quadrilaterals. We will study the area of the planar region. It also describes the different figures with the same base and between parallels through examples.

Areas

In this chapter, we will learn about surface areas and volumes. It explains how to find the lateral surface area and total surface area of a cube and cuboid. It also describes how to find the curved surface area and total surface area of a cone.

Surface Areas and Volumes

Through this chapter, we will learn the definition of a quadrilateral. It describes the various properties of quadrilateral through the activity and examples. It also briefs us about the various types of quadrilateral and their properties.

Quadrilaterals

In this chapter, we will learn about triangles in detail. We will discuss various theorems on the congruence of triangles. Moreover, we will explore the properties of isosceles, equilateral, and right-angled triangles.

Triangles

This chapter discusses linear equations in two variables. It teaches us how to make equations from a given set of problems. Furthermore, it explores different methods of solving such equations and covers information about some graphs related to them.

Linear Equations in Two Variables

Through this chapter, we will learn about various components of a graph. We will study how to represent a point on the graph. Moreover, we will discuss several solved examples for a better understanding of the coordinate geometry.

This chapter discusses the concepts of lines and angles. We will learn about the pairs of angles and the types of angles. It also describes the transversal line and the angles made by a transversal along with the properties of parallel lines.

Lines and Angles

In this chapter, we will deal with Euclid’s elements of geometry. We will explore various axioms and postulates of Euclid. Moreover, we will come across some examples related to non-Euclidean geometry.

The Elements of Geometry

This chapter gives an introduction to polynomials and their zeroes. It explains the factorisation of polynomials in detail. In addition, it describes the degree of a polynomial and its different types.

Polynomials and Factorisation

This chapter introduces the concept of real numbers. It concentrates on the several theorems and the expansion of whole numbers and real numbers. Irrational numbers and logarithm are also discussed here.

Real Numbers

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