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, Introduction to Euclid's Geometry and, Area of Parallelogram and Triangles

Geometry

Statistics and Probability covers chapters such as Probability and Statistics

Statistics and Probability

MATHEMATICS Textbook for Class IX

Secondary School Mathematics FOR CLASS 9

Mathematics Class 9

NCERT Exemplar Mathematics - Class 9

Full Marks Mathematics 9

Activity Plus in Mathematics

Area of a Triangle by Heron's Formula

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

Factorisation by Algebraic Identities: Illustration 2

Factorisation by Algebraic Identities: Illustration 1

Factorisation Using Difference of Two Squares: Example

What is an Equation?

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

Geometrical Meaning of the Zeroes of a Polynomial

Zeros of a Polynomial

Exponents and Surds

Fractions to Decimals and Decimals to Fractions

Irrational Numbers: Geometrical Representation

Non-terminating Non-recurring Decimals

Application of (a²-b²)

Introduction to Polynomials

Criteria for Congruence of Triangles

Intersecting Lines and Point of Intersection

Understanding Vertically Opposite Angles

Understanding Linear Pair of Angles

Understanding Complementary Angles

Illustration on Solving the Equation

Solving a Linear Equation in One Variable

Practical Application of Equation and Its Solution

Closure and Commutative Properties of Real Numbers

Interpretation of a Bar Graph

Basics of Bar Graph

Integers : Introduction

Ordered Pair Corresponding to a Point

Coordinates of Different Quadrants

Quadrants in the Cartesian System

Frequency Polygon and Frequency Distribution Table

Understanding Frequency Polygon

Volume of Cone and Sphere

Volume of Sphere

Volume of Cone:Illustration

Volume of a Cone

Surface Area of Hemisphere

Surface Area of a Sphere

Total Surface Area of a Cone

Curved Surface Area of a Cone: Examples

Curved Surface Area of a Cone

Perpendicular Bisector Theorem

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

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

Altitudes of an Equilateral Triangle

Application of the Apollonius Theorem

Introduction to the Apollonius Theorem

Application of SSS Criteria of Triangle

RHS Criterion for Congruence

Understand SSS Congruence Criteria

Proof for Properties of Isosceles Triangle

Properties of Isosceles Triangle

Congruent Triangle and Related Terminologies

Congruence of Triangles

Transitive Property of Parallel Lines

Understanding Supplementary Angles

Differences in Linear Pair and Supplementary Angles

Concurrent Lines

Different Types of Angles

Interior of an Angle

Euclid's Postulate of a Plane

Euclid's Axioms and Postulates

Solution of Pair of Linear Equations in 2 Variables

Solution of Linear Equations in Two Variables

Linear Equation in Two Variables

The X-axis in the Coordinate System

Introduction to Coordinate Geometry

General Form and Degree of a Polynomial

Irrational Number on the Number Line

Properties of Irrational Numbers

Understanding Coordinate Axis

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

Statistics

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

Surface Areas and Volumes

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

Triangles

This chapter covers topics such as Angle Sum Property of a Quadrilateral, Properties of a Parallelogram, The Mid-point Theorem and Types of Quadrilaterals.

Quadrilaterals

This chapter covers topics such as Basic Terms for Angles between Lines, Parallel Lines and a Transversal, Intersecting Lines and Non-intersecting Lines, Lines Parallel to the same Line, Pairs of Angles, and Angle Sum Property of a Triangle.

Lines and Angles

This chapter covers topics such as Equivalent Versions of Euclid's Fifth Postulate, Euclid's Definitions, and Axioms and Postulates.

Introduction to Euclid's Geometry

This chapter covers topics such as Circles and its Related Terms, Angle Subtended by a Chord at a Point, Equal Chords and their Distances from the Centre, Angle Subtended by an Arc of a Circle, Perpendicular from the Centre to a Chord, etc.

Circles

This chapter covers topics such as Cartesian System, Introduction to Coordinate geometry, and Plotting a Point in the Plane if its Coordinates are given.

Coordinate Geometry

This chapter covers topics such as Area of Quadrilateral Using Heron's Formula, Area of Triangle Using Base and Height, and Area of a Triangle - by Heron's Formula.

Heron's Formula

This chapter covers topics such as Basic Number Systems, Real Numbers and their Decimal Expansions, Exponents and Surds, Irrational Numbers and Operations on Real Numbers.

Number Systems

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

Polynomials

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

Linear Equations in Two Variables

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