mathematics

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

Geometry covers chapters such as Area, Congruence of Triangles, Surface Area and Volume, Parallel lines and transversal, Altitudes and Medians of a triangle, Circle - Chord and Arc and, Quadrilateral : Constructions and Types

Geometry

Arithmetic covers chapters such as Compound Interest, Variation, Rational and Irrational numbers, Division of Polynomials, Indices and Cube root and, Discount and Commission

Arithmetic

Algebra covers chapters such as Expansion formulae, Factorisation of Algebraic Expressions and, Equations in One Variable

Algebra

Statistics

MATHEMATICS Textbook for Class VIII

Mathematics Standard Eight

Joy Of Mathematics 8

How are Parallelograms Constructed?

Construction of Rhombus With Special Properties

Area of Polygon by Triangulation

Area of Regular and Irregular Polygons

Construction of a Square

Area of Quadrilateral Using Heron's Formula

Area of a Triangle by Heron's Formula

Factorisation Using Difference of Two Squares

Factorisation by Algebraic Identities: Illustration 2

Factorisation Using Difference of Two Squares: Example

Arithmetic Mean

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

Expansion of (a + b)^3

Expansion of (a + b + c)²

Factorisation of Perfect Square Trinomial

Dividing Polynomial by a Polynomial

Polynomial: Terms, Coefficient and Degree

Non-terminating Non-recurring Decimals

Application of (a²-b²)

Equations Reducible to the Linear Form

Solution of Linear Equation Illustration 4

Solution of Linear Equation:Illustration 2

Introduction to Polynomials

Monomials, Binomials and Trinomials

Area of a Circle

Line Parallel to Given Line of External Point

Construction of a Line Parallel to a Given Line

Representing Rational Numbers on a Number Line

Equality of Two Rational Numbers

Introduction to Rational Numbers

Difference Between Simple and Compound Interest

Simple and Compound Interest

Criteria for Congruence of Triangles

Corresponding Sides

Special Segments Associated With a Triangle

The Altitude of a Triangle

Medians of a Triangle

Angles Made by Transversal of Parallel Lines

What Are Alternate Interior Angles?

Different Angles Made by Transversal

What Are Transversal Lines?

Intersecting Lines and Point of Intersection

Word Problem on Age

Linear Equation Word Problem

Solving a Linear Equation in One Variable

Practical Application of Equation and Its Solution

Introduction to Data Handling

Introduction to Triangle

Definition of Pi (π)

Degree of a Polynomial

Irrational Numbers

Volume of Cubes and Cuboids: Problems

Congruent Chords

Illustration on Arcs and Chords of a Circle

Angle Subtended by the Minor Arc at the Centre

Angle Subtended by Two Minor Arcs

Angle Subtended by an Arc of a Circle

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

RHS Criterion for Congruence

Congruence of Triangles

Angles Formed by a Transversal

Concurrent Lines

Value of the Polynomial

General Form and Degree of a Polynomial

Division of a Polynomial by a Monomial

Division of a Monomial by a Monomial

Factorisation by Adding and Subtracting the Terms

Factorisation by Using (a+b)^2 and (a^2-b^2)

Factorisation of Difference of Two Squares: Part 2

Factorisation of Difference of Two Squares

Direct and Inverse Proportion

Practical Problems of Volume

Conversion of Unit of Capacity: Illustration

Units for Volume of Liquid

Problems on Volume of Cylinder

Volume of a Cylinder: Introduction

Problems on Godown and Tin

Volume of Cube and Cuboid

Introduction to the Volume of a Solid

Introduction to Volume

Surface Area of a Cylinder: Examples

Surface Area of a Cylinder: Illustrations

Surface Area of a Cylinder

Surface Area of Rectangular Solids

Introduction to the Area of a Trapezium

Solving Expression by Using (a+b)^2 & (a-b)^2

Application of (a+b)^2

Factors of a Binomial

Factors of a Monomial

Applications of Compound Interest

Determining Profit Percent Using Discount Percent

Discount

Cube Root of Numbers by Prime Factorisation Method

Cube Root in the Form of Indices

Understanding Cube Root of Numbers

Understanding Cube Number and Its Unit Digit

In this chapter, we will study the properties of the chord of a circle, arcs corresponding to the arc of the circle, and finding the length of the radius when the chord is given. Finding the distance of the chord from the centre is also explained.

Circle - Chord and Arc

This chapter describes the terms related to a cone and gives the formula to find surface area and volume. It also explains the surface area of a sphere and includes some solved examples to explain the application of these formulas.

Surface Area and Volume

This chapter discusses the areas of trapezium, parallelogram, circle, trapezium, rhombus, and triangle using Heron's formula. The area of figures having irregular shapes is also discussed here.

Area

In this chapter, we will study the concept of compound interest. We will also discuss the difference between simple interest and compound interest, deducing a compound interest formula and rate compounded annually or half-yearly.

Compound Interest

This chapter describes the congruence of a plane figure. It also teaches us the congruence among line segments, besides the congruence of the angles.

In this chapter, we will study the solution of equations, solving equations that have linear expressions, solving equations having the variable on both sides. We will also look into word problems of equations in one variable.

Equations in One Variable

In this chapter, we will explore the sub-divided and percentage of bar-diagrams. It explains the grouped and ungrouped distribution of data. Mean, median, and mode for ungrouped data are also illustrated here.

This chapter covers concepts such as division of a polynomial by a binomial, concept of polynomials and division of a polynomial by a monomial. The division of a monomial by a binomial and the degree of a polynomial are also discussed.

Division of Polynomials

This chapter deals with discounts and commissions. It covers concepts such as discount, commission, rebate, the formula of discount using cost and selling price, the formula of discount if the discount percent is given, and marked price.

Discount and Commission

In this chapter, you will study quadrilaterals and types of quadrilaterals. You will also learn about the properties of trapezium, kite, rectangle, rhombus, and a parallelogram.

Quadrilateral : Constructions and Types

This chapter introduces variations, types of variations, the relation between two variables by direct variation and inverse variation, time, work and speed. It states that the changing of variable parameters is called a variation.

Variation

In this chapter, we will learn about factorization of algebraic expressions, factorization of a quadratic trinomial by splitting the middle term and rational algebraic expressions. We will also discuss factorization using various identities.

Factorisation of Algebraic Expressions

This chapter mainly deals with different forms of formulae and their expansion. Areas of a square and a rectangle using expansion formulae, expansion of the cube of (a+b) and (a-b), and expansion of the square of (a+b+c) are explained.

Expansion formulae

This chapter explains the altitude of a triangle and its construction, median of a triangle and how to draw medians of a triangle. It also mentions special points of a triangle, such as the point of concurrence, centroid and orthocentre.

Altitudes and Medians of a triangle

This chapter discusses the meaning of numbers with rational indices. It mentions the concept of cube number, exponent, negative exponents, and cube root concept. Cube root through the prime factorization method is also explained.

Indices and Cube root

This chapter explains the properties of parallel lines and transversals. Angles made by the transversal, transversal of parallel lines are described. It also teaches how to draw a line parallel to the given line through a point.

Parallel lines and transversal

This chapter introduces rational and irrational numbers. It also discusses the comparison between them, the decimal representation of rational numbers, representation of rational and irrational numbers on a number line.

Rational and Irrational numbers

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