Basic Mathematics Online Course: Learn Math Fundamentals

A plane figure with three sides and three angles is called a triangle. In this session, we will learn the different types of triangles based on varying side lengths and angle measurements. This session will help you learn the following things:
1) Equilateral triangle
2) Isosceles triangle
3) Scalene triangle
4) Right angled triangle
After this session you can very easily tell the difference between all these above types of triangles and know the mathematics involved in it.

Did you know, two different triangles of different sizes can be similar to each other based on the ratio of their sides ? 

In this session you will learn the following:
1) Criterias for similarity
2) Scale factor
3) Congruency
At the end of this session, you can also learn a trick to remember the concept of similar triangles.

In this session you will learn about two new concepts about triangles: same and similar.

In the context of triangle when two or more than two triangles are same in terms of lengths of respective sides and angles, they are called congruent triangles.

When two or more than two triangles look similar means they share equal angles but respective sides may be same or in the same ratio, they are called similar triangles.

Watch this session and learn about the criteria for similarity and congruency of Triangles.

If the corresponding sides of a triangle is twice than that of another triangle, will the area be also doubled??

Watch this session to learn about the effects that can be seen in areas of two similar triangles. It will also help in understanding some of the basic properties of geometry.

This is an activity video on the relation between the areas of similar triangles. The concpet has been explained in an intutive way to understand it better.

So watch this session to understand the topic and its application.

Pythagoras theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle. 

In this session you will learn this very important theorem and learn to prove its statement with its proof in a geometric way.

Pythagoras theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle. 

In this session you will learn this very important theorem with the help of similar triangles and be able to prove this theorem in a completely different way. 

Pythagoras theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle. 
In this session you will learn this very important theorem with the help of a fun-filled activity.

Basic Proportionality Theorem is one of the important topics of a Triangle that deals with the study of the proportion of the two sides of a triangle. So watch this session and learn about the Theorem and its proof.

Circle is a collection of points at a constant distance from a point called center. Circles is an important topic in Geometry with various real life applications. Watch this session and familiarize yourself with the various terminologies associated with parts of a circle.

Which includes:

Radius, Diameter, Chord, Secant, Segment,Circumference, Tangent, Arc and Sector.

We have been studying the various properties and terms associated with circles.

Using these basic concepts we will now learn some interesting facts about chords of a circle by proving some theorems.
In this session we have covered the following theorems in a very logical and easy manner in just 11 minutes:
1) Equal chords of a circle subtend equal angles at the centre.
2) If the angles subtended by the chords of a circle at the centre are equal, then the chords are equal.
3) The perpendicular from the centre of a circle to a chord bisects the chord.
4) The line drawn from the centre of a circle to bisect a chord is perpendicular to the chord.
5)There is one and only one circle passing through the three non-collinear points.
Understanding these theorems will help you in solving various problems related to circle.

In this session on Circles we will be studying various theorems related to circles, its chord and angles. 
This is a continuation of our previous session where will understand the remaining theorems in less than 10 minutes:
1) Equal chords of a circle (or congruent circles) are equidistant from the centre.
2) Chords equidistant from the centre of a circle are equal in length.
3) The angle subtended by an arc at the centre is double than the angle subtended by it at any point on the remaining part of the circle.
4) Angles subtended in the same segment of a circle are equal.
Each of these theorems are explained in a very logical and easy to remember manner.

In this session on Circles we will be studying three important theorems giving relation between angles, chords and circles.

Get a detailed explanation on these theorems in less than 7 minutes:
1) If a line segment joining two points subtends equal angles lying at two other points lying on the same side of the line containing the line segment, then the four points lie on the circle.
2) The sum of a pair of opposite angles of cyclic quadrilateral is 180 degrees.
3) If the sum of a pair of opposite angles of a quadrilateral is 180 degress then the quadrilateral is cyclic.
Understanding these theorems will indeed help you in applying them for solving various problems on Circles.

A tangent is a line which touches the circle at only one point and does not enter the circle.

Watch this session on 'tangent to a Circle' and learn in detail about the following theorems and properties of a tangent:-
1) A Tangent is always perpendicular to the radius of a circle.
2) At one point on a circle only one tangent can be drawn.
3) Only two tangents will be parallel to a given chord or a secant.
4) Only two tangents can be drawn from a common external point.
5)Two tangents drawn from a common external point to a circle are equal in length.
These basic theorems on circles are explained logically in less than 10 minutes.

In this session on Areas Related to Circles- Part 1 we have explained the concept of circumference and area of a circle. 
These concept which is explained in 12 minutes will help you find the following:
1) Circumference
2) Areas related to Circles.
3) Area of a sector
4) Length of an Arc.
We have used real life examples for you to relate to the concept and understand the logic behind it.

We have been studying various teminologies, properties and theorems related to circles.

We also know the formulae to find areas of various parts of a circle.
In this session we have taken few examples (word problems on circles) for you to use these basics and apply your knowledge for solving them.

The chapter on Circles have various formulas and terminologies. Do you find it difficult to remember? watch this video and revise the concept and formulas in 10 minutes.

Watch this introductory session on Polynomials and learn the following sub-topics in 8 minutes :

1) Definition
2) Application
3) Components
4) Degree of Polynomials
5) Types of Polynomials
6) What does not make a polynomial?
These basics will help to understand the further concepts better.

Zeros of polynomial is nothing but the root or we can say tha value of 'x'  that makes the polynomial equal to zero.

In just 7 minutes learn:
1) The various Types of Polynomials(Linear, Quadratic, Cubic etc)
2) Co-efficient of polynomials
3) Zeros of a Polynomial
4) Relation between zero and coefficient.

There exixts a relation between the zeros and coefficient of polynomials which is explained considering an example of Quadratic Polynomial.

This session covers the following topics in less than 8 minutes :
1. Sum of zeroes,
2. Product of zeroes,
3. Sum of product of zeroes &
4. How to solve them 
Only by knowing the roots you will also be able to find the equation of a polynomial.

We have learnt how to express polynomials algebraically, but can it be expressed geometrically?

Watch this 10 minutes session and learn how to represent polynomials (Linear. Quadratic and Cubic) graphically.
Also learn how to identify different graphs based on their shapes.

Polynomial Long Division is an algorithm for dividing a polynomial with another polynomial of the same or lower degree.

This session covers:
1- Dividing two numbers
2- Division Algorithm
3- Dividing Polynomials
Each topic is explained in a simple,logical and easy to remember manner in less than 10 minutes.

A Polynomial with its highest power 2 is called a quadratic equation. Every Qauadratic equation has two roots and there are several methods to find them.

 In this session we will deal with solving quadratic equation by Factorization method.
 In 11 minutes learn in detail about:
 1) Quadratic Equation
 2) General Form
 3) Solving Quadratic Equation
 4) Factorization Method.
 Each topic is explained in a simple logical manner.

Completing the square is a method to solve quadratic eqaution and is especially used when factorising a quadratic equation becomes difficult.

 So watch this 10 minutes session which explains:
 - completing the square method
 - Trick that can be applied to make this easy.

Quadratic formula is the most convinient method to find roots of a quadratic polynomial and this formula is an extension of completing the square method.

 Watch this session of 10 minutes and learn in detail about:
 1) Quadratic Formula
 2) Application of Quadratic Formula
 3) Benefits of Quadratic Formula
 4) Derivation of Quadratic Formula
 Understand the basic concept and learn its logical application.

Formula Chart Book

Trigonometry is a branch of Mathematics that deals with the study of relationship between sides and angles of a Right Angled Triangle and Trigonometric ratios are ratios of sides of a Right Triangle known as sin, cos, tan, cot, sec and cosec.

In this session you will learn about:

1) Properties of Right angled Triangle

2) Trigonometric ratios

3) Trick to remember ratios

4) A small problem to solve 

There are basically three main Trigonometric ratios, Sin, cos and Tan whereas Cosec, Sec and Cot are the reciprocals of them respectively which are called Trigonometric Identities. Also these ratios establish some relation between them in the form an equation, so are called Trigonometric equations.

Watch this session to learn about all this through derivation and practice questions.

When the sum of two angles is 90 degree they are called complementary angles. In Right angled triangle, two non-right angles complement each other as sum of their angle is 90 degree.

In this session you will learn about the relationship between the Trigonometric ratios of complementary angles and their multiple uses. So watch this session and explore the topic.

There are in total 6 trigonometric ratios for 5 standard angles (0, 30, 45, 60 and 90) degrees. so we have 30 ratios in total which are constant for any kind of Right angles.

In this video you will learn how these ratios are derived. 

There are in total 6 trigonometric ratios for 5 standard angles (0, 30, 45, 60 and 90 degrees). so we have 30 ratios which are constant for any kind of Right angles but at times it becomes difficult ot remember all the values.

This video is purely dedicated to a trick that will help you in remembering these trigonometric ratio values.

There are certain terms which one should be clear about before attempting for a Trigonometric Question. These terms are linked to the concept of Trigonometry like Horizontal line, Line of sight, Angle of elevation, Angle of depression etc.

Watch this session and be sure about the terminologies to make problem solving easy.

This video involves word problems and step by step solution. It will help you in many ways like understanding questions, finding the flow of the solution one by one, drawing perfect diagram according to the question etc. Overall, it will help you to interpret the question and solve it logically.

So watch this session and learn the skill of solving any kind of problem.

In examination, different types of questions having different weight of marks are asked. In this session you will come across some such questions and step by step solutions which will help you in improving your problem solving skill.

In examination, different types of questions having different weight of marks are asked. In this session you will come across some such questions and step by step solutions which will help you in improving your problem solving skill.

This video is dedicated to an overall view on Trigonometry which includes all the parameters from the beginning of terms to Ratios, Identities, Trigonometric values table, Trick to remember the value table and all.

This will help you as a last minute revision video for Trigonometry. 

This is a Quiz video containing Multiple Choice Questions (MCQs) to help you in revising the concept and to help in avoiding some small silly mistakes. 

This is a very fun way of learning.

This is a Quiz video containing Multiple Choice Questions (MCQs) to help you in revising the concept and to help in avoiding some small silly mistakes. 

This is a very fun way of learning.

Clinometer is a device used to measure the angle of elevation or depression from a distance or height of a very huge or tall object.

If you want to know or to make such device watch this session and explore the concept.

Clinometer is a device used to measure the angle of elevation or depression from a distance or height of a very huge or tall object.

In this session, you will learn how to use a clinometer.

Formula Chart Book

In this session you will clearly come to know the difference between surface area and volume of an 3-D object.

This session is dedicated to the three objects cube, cuboid and cylinder whose surface areas are derived using real life example of container and also one problem for each object is solved.

It will not only help you in understanding the difference between surface areas and volume but also to use the formulas for various question solving.

This is an activity video on surface area of right circular cylinder.

It clearly shows how the formula for surface area of cylinder is derived which in turn will help you in remembering the formula logically.

In this session you will learn to derive formulas for volume of cube, cuboid and cylinder with the help of real life examples.

You will also be able to solve questions on some non-standard shapes with the help of standard formulas.

Surface area and volume are the two main parameters of a 3-dimensional solid object.

Sphere is a 3-dimensional perfectly round object having only one surface and no edges.

In this session we will learning the difference between hollow and solid sphere and hemisphere and will learn to calculate surface area by using formulas.

This session starts with an easy to relate example of the story of a thirsty crow to help you to understand the volume of a sphere and a hemisphere.

Also there is one problem solving that will help you to understand the application of the topic and the formula.

Watch this session and enhance your knowledge about this perfectly round object.

Cone and Frustum of cone are the shapes which looks a little similar and it is difficult to remember their formulas. 

We have a taken the example of ice-cream cone and cup to explain the concept practically by solving a real life scenario.

Watch this session to know how a small change in parameter can make a big difference in profits/loss for ice-cream companies.

There are a lot of formulas for surface area and volume of all 6 objects.

Students find these formulas similar and quite confusing. 

This session is purely dedicated to avoid all the confusion in the formulas and makes it easy to understand and remember.

If you think Math is never needed or has no importance then try to imagine the world without numbers.

Watch this video on Origin and History of Numbers and explore the knowledge.

This is an introductory session on the topic ' Real Numbers' where you will learn about Number Systems and their properties in just than 5 minutes.
Watch this session and familiarise yourself with the following terms:
1) Whole Numbers
2) Prime Numbers
3) Composite Numbers
4) Rational Numbers
5) Irrational Numbers.
These basic concepts will help you understand the further topics better.

Any number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q is called Rational Number.

But can this be written in decimal form?
Watch this session to know how a fraction can be converted into a decimal form.
The concept is explained step wise in an easy to understand manner by in 10 minutes.

In this session will learn about finding the rational numbers 3 different methods.

1. Rationals numbers that are equidistant.

2. Rationals numbers by finding the midpoints.

3. Rationals numbers by finding the difference.

Gain an understanding of an important concept in number theory- The Euclid's Division Lemma and learn its application in finding out The Highest Common Factor (HCF).
This video covers the following topics in less than 10 minutes:
1) Factors
2) Divisors
3) Highest Common Factor / Greatest Common Divisor
4) Method of Finding HCF
6) Euclid's Division Lemma
7) Euclid's Division Algorithm.
So, Understand the core concept and learn its logical application.

In this session will learn about converting Decimal numbers into ratio form.

1. Converting fractional form to decimal numbers conversion

2. Converting decimal numbers to fractional form.

a. Finite decimal to fractional form

b. Infinite decimal to fractional form.

Irrational Numbers are any numbers which cannot be written as a fraction.

Watch this session to learn:
1)Few properties of Irrational Numbers
2)Examples of Irrational Numbers
3)How to proove  √2 is an irrational number.
All the concepts are explained in a logical and easy manner in 13 minutes.

This is a Quiz video that will test your knowledge on the topic and help you understanding the concept in depth.

This is a Quiz video that will test your knowledge on the topic and help you understanding the concept in depth.

In this session, attached PDF's of MCQ quiz and its explanatory solution of "Number System". You can compare your answers to step-by-step solutions after taking a quiz. After you get a correct answer, read through the entire solution to reinforce your new understanding. Reading it after getting a wrong answer helps you figure out where you went wrong.