mathematics

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

Algebra covers chapters such as ALGEBRA and SET LANGUAGE

Algebra

Arithmetic

Geometry covers chapters such as GEOMETRY, MENSURATION and, COORDINATE GEOMETRY

Geometry

Trigonometry contains chapter TRIGONOMETRY

Trigonometry

Statistics and Probability covers chapters such as STATISTICS and PROBABILITY

Statistics and Probability

Mathematics Standard 9

MATHEMATICS Textbook for Class IX

Construction of an Incircle of a Triangle

HCF of Monomials

Applications of Section Formula

Trigonometric Ratios of Complementary Angles

Area of a Triangle by Heron's Formula

Expressing Large Numbers in Standard Form

Trigonometric Ratios for the Angle of 30 Degrees

Mean of Grouped Data: Example

Converse of Midpoint Theorem

Proof of Midpoint Theorem

Midpoint Theorem

Factorisation Using Difference of Two Squares

Factorisation Using Difference of Two Squares: Example

Verification: n(A∪B)=n(A)+n(B)-n(A∩B)

Complement of Set

Difference of Sets

Distributive Law of Sets

Examples of De Morgan’s Law and Distributive Law

The Intersection in Set Operations

The Union in Set Operations

Venn Diagrams

Subsets and Equal Sets

Universal Set and Subsets

Power Set of a Set

Equivalent Sets

Finite and Infinite Sets

Empty Set

Cardinality and Types of Sets

Notations for a Set

Division of a Trinomial by a Trinomial

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

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

Polynomial: Terms, Coefficient and Degree

Exponents and Surds

Irrational Numbers: Geometrical Representation

Non-terminating Non-recurring Decimals

Application of (a²-b²)

Sum of Exterior Angles of a Polygon

Introduction to Polynomials

Monomials, Binomials and Trinomials

Numerator and Denominator of a Rational Number

Introduction to Rational Numbers

Formation of Algebraic Expression

Introduction to Data Handling

Basics of Data

Basic Geometrical Shapes

Mutually Exclusive Events

Types of Events

Centroid - Meaning

Section Formula

Derivation of Distance Formula 2D

Ordered Pair Corresponding to a Point

Coordinates of Different Quadrants

Quadrants in the Cartesian System

Formulae for Allied Angles

Verify (A ⋂ B)' = A' U B' by a Venn Diagram

Power Set

Methods of Describing a Set

Introduction to Sets

Complementary Events

Random Experiment & Theoretical Probability

Probability of Equally Likely Events

Introduction to Probability

Median of Grouped Data: Illustration

Short-cut Method to Find Mean of Grouped Data

Direct Method for Finding Mean

Definition of Pi (π)

Illustration of Trigonometric Identity

Trigonometric Ratios for the Angle of 60°

Trigonometric Ratios for the Angle of 45°

Trigonometric Ratio Sine for the Angle of 30°

Inter Relation Between the Trigonometric Ratio

Defining Sine and Cosine Ratios and Their Range

Visualising Trigonometric Ratios for Same Angle

Introduction to Trigonometry

Coordinates of the Incentre

Division of a Line Segment

Distance Between Two Points: Some Illustrations

Collinearity and Non-collinearity of Points

Application of Distance Formula in 2-D

Equations Reducible to a Pair of Linear Equations

Cross Multiplication Method: Illustration

Solving Linear Equations by Cross Multiplication

Solving Linear Equations Using Elimination-Example

Solving Linear Equations Using Elimination Method

Solving Linear Equations Using Substitution Method

Graphical Method of Solution of Linear Equations

This chapter covers topics like Introduction to Probability, Probability - a Classical Approach, Probability - Empirical Approach and Types of Events.

Probability

This chapter covers topics like Collection of Data, Arithmetic Mean of a Data, Median of a Data and Mode of a Data.

Statistics

This chapter covers topics like Area of a Triangle and Heron's Formula, Surface Area of a Cuboid and a Cube and Volume of a Cuboid and a Cube.

Mensuration

This chapter covers topics like Introduction to Trigonometry, Method of Using Trigonometric Table, Trigonometric Ratios for Complementary Angles and Trigonometric Ratios of Some Specific Angles.

This chapter covers topics like Introduction to Coordinate Geometry, Collinearity of Points, Distance Between Two Points, Plotting a Point in the Plane if its Coordinates are Given and Section Formula.

Coordinate Geometry

This chapter covers topics like Introduction to Geometry, Angle Sum for a Polygon, Circles and Related Theorem, Construction of Centroid, Orthocentre, Circumcentre and Incentre of a Triangle, Cyclic Quadrilaterals, etc.

This chapter covers topics like Introduction to Algebra, Algebraic Identities, Division Methods of Polynomials, Factorisation of Polynomials, Greatest Common Divisor, Linear Equations in Two variables, etc.

This chapter covers topics like Introduction to Real Numbers, Irrational Numbers, Radical Notation, Rational Numbers, Real Numbers, Scientific Notation and Surds.

Real Numbers

This chapter covers topics like Introduction to Sets, Operations on Sets, Applications on Cardinality of Sets, Demorgan's Law, Properties of Algebraic Operations on Sets and Types of Sets.

Set Language

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