Mathematics

Arithmetic contains chapter Rational and Irrational Numbers

Arithmetic

Commercial Mathematics contains chapter Compound Interest

Commercial Mathematics

Algebra covers chapters such as Logarithms, Indices, Simultaneous Linear Equations and, Expansion and Factorization

Algebra

Geometry covers chapters such as Circle, Triangles, Rectilinear Figures, Area Theorems and, Construction of Polygons

Geometry

Statistics covers chapters such as Statistics and Mean and Median

Statistics

Mensuration covers chapters such as Area and Perimeter of Plane Figures and Solids [Surface Area and Volume of 3D Solids]

Mensuration

Trigonometry contains chapter Trigonometrical Ratios of Some other Angles

Trigonometry

Co-ordinate Geometry contains chapter Co-ordinate Geometry

Co-ordinate Geometry

ICSE MATHEMATICS CLASS 9

Understanding ICSE Mathematics Class 9

Concise Mathematics I.C.S.E - Class IX

ICSE Mathematics

Comparison of C.I and S.I

AAS Criteria for Congruence of Triangles: Example

Construction of Rhombus With Special Properties

Trigonometric Ratios of Complementary Angles

Construction of a Square

Rational Numbers Between Two Rational Numbers

Proof of Midpoint Theorem

Midpoint Theorem

Factorisation Using Difference of Two Squares

Exponents & Logarithms

Antilogarithm

Examples on Logarithms

Working Rules for Logarithms

The Mantissa of Log

Logarithm: Characteristic and Mantissa

Factorisation by Algebraic Identities: Illustration 2

Factorisation by Algebraic Identities: Illustration 1

Factorisation Using Difference of Two Squares: Example

Ordered Pairs

Illustration Based on the SAS Criterion

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

Perfect Square Polynomial: Illustration 3

Perfect Square Polynomial: Illustration 2

Perfect Square Polynomial: Illustration 1

Perfect Square Polynomial

Factorisation of Polynomials: Illustration 1

Exponents and Surds

Irrational Numbers: Geometrical Representation

Application of (a²-b²)

Zero & Negative Integral Indices

Introduction to Circumference

Numerator and Denominator of a Rational Number

Introduction to Rational Numbers

Difference Between Simple and Compound Interest

Simple and Compound Interest

Criteria for Congruence of Triangles

Triangle Inequality Theorem

Mean of Ungrouped data: Example

Interpretation of a Bar Graph

Introduction to a Bar Graph

Organising Data and Frequency of Data

Slope of Lines: Illustrations

The Slope of a Straight Line

Derivation of Distance Formula 2D

Ordered Pair Corresponding to a Point

Coordinates of Different Quadrants

Quadrants in the Cartesian System

Equality of Ordered Pairs: Illustration

Conversion of Cumulative into Ordinary Frequency

Cumulative Frequency Table by Less Than Method

Volume of Solids

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

Introduction to Trigonometry

Application of Distance Formula in 2-D

Area of an Isosceles Triangle

Application of Converse of Pythagoras Theorem

Theorem Related to Right Angled Triangle

Applications Based on Pythagoras Theorem

The Converse of Pythagoras Theorem

Application of Thales Theorem

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

Solving Number Problems Using Linear Equations

Application of Linear Equations in Two Variables

Factors of a Quadratic Polynomial

Recurring Decimals

Median of Ungrouped Data: Illustration

Median of Ungrouped Data

Arithmetic Mean of the Data

Frequency Polygon and Frequency Distribution Table

Understanding Frequency Polygon

Understanding Raw Data

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

Circle and Its Related Terms

Triangles on the Same Base

Parallelograms on the Same Base

RHS Criterion for Congruence

Proof for Properties of Isosceles Triangle

Properties of Isosceles Triangle

This chapter covers topics such as Pythagoras Theorem and Its Proof, Criteria for Congruence of Triangles, Mid Point Theorem and Converse of Mid Point Theorem in Triangle, Congruence of Triangles, Application of Pythagoras Theorem, etc.

Triangles

This chapter covers topics such as Factorization by Direct Method and Grouping, Algebraic Identities, Special Products, Comprehension of Algebraic Identities, Difference of Two Squares and Sum or Difference of Two Cubes, etc.

Expansion and Factorization

This chapter covers topics such as Other Application of Formula, Compound Interest Without Using Formula, Relation between Compound Interest and Simple Interest, and Rate Compounded Annually or Half Yearly or Quarterly.

Compound Interest

This chapter focuses on coordinate geometry. It briefs on the cartesian coordinate system and coordinates of a point. It also explains the plotting of a point in the cartesian plane using the general equation of a straight line and distance formula.

This chapter introduces trigonometric ratios. It discusses the notation of angles and briefs us on various trigonometric ratios. With the aid of examples, it also explains the quotient relations and includes some practice questions.

Trigonometrical Ratios of Some other Angles

This chapter covers topics like surface area of solids, volume of solids, and cross section of solid body.

Solids [Surface Area and Volume of 3D Solids]

This chapter sheds light on the perimeter and area of various 2-D figures. We will learn how to find the area and perimeter of a square, rectangle and triangle. It also discusses the applications of perimeter and area.

Area and Perimeter of Plane Figures

This chapter sheds light on the definition of mean and the concept of the mean of ungrouped data. We will unfold the idea of arithmetic mean as well. We will also explore the notion of median and frequency polygon, along with examples.

Mean and Median

This chapter deals with the organization of data in different forms. It highlights the method of obtaining tally marks and explains the concept of frequency. We will also come across the pictorial representation of data via examples.

This chapter talks about the circle including its centre, radius, arc, and chord. It elaborates the concept of segment and sector through diagrams. Moreover, we will study the formulae used to illustrate the concepts with the aid of examples.

Circle

This chapter discusses the concept of area theorems. It briefs on mid-point theorems and area of a plane. It also explains in detail the area theorems with the aid of examples.

Area Theorems

This chapter explains the methods of constructing a quadrilateral, parallelogram, and trapezium. It discusses the construction of a rectangle, rhombus, and square. It also explains how to construct regular hexagons, along with examples.

Construction of Polygons

This chapter sheds light on the concept of figures. It mainly focuses on the rectilinear figures with examples and definitions. Through examples, we will also learn about the polygon and its different types along with their constructions.

Rectilinear Figures

In this chapter, we will understand the concept of the logarithm. It explains different laws associated with logarithms. With the help of examples, it also describes how to convert logarithmic form to exponential form and vice versa.

Logarithms

This chapter discusses the concept of indices. It briefs on the index of a number. It also highlights various laws of indices. Further, through examples, we will learn how to apply these laws to simplify the given expressions.

Indices

In this chapter, we will learn different methods to solve simultaneous linear equations. We will also learn to solve word problems based on simultaneous linear equations with the aid of examples.

Simultaneous Linear Equations

This chapter deals with the concept of rational and irrational numbers with their properties. It highlights the decimal representation of rational numbers. It also explains real numbers including their representation on a number line.

Rational and Irrational Numbers

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