Abacus-:

The abacus (plural abaci or abacuses), also called a counting frame, is a calculating tool that

was in use in Europe, China and Russia, centuries before the adoption of the written Hindu–Arabic numeral system and is still used by merchants, traders and clerks in some parts

of Eastern Europe, Russia, Chinaand Africa. Today, abaci are often constructed as a bamboo

frame with beads sliding on wires, but originally they were beans or stones moved in grooves in

sand or on tablets of wood, stone, or metal.

Vedic Math-:

Vedic mathematics is an ancient form of understanding mathematics which enables the

students to understand the subject in a more holistic way, thus creating higher interest in the

subject.

Mathematics was simplified during the Vedic ti es reati g 6 Sutras or word for ula s which explained most of the concepts of mathematics. These sutras beautifully correlate and

unify different concepts, thus making us understand mathematics in a more holistic way.

These sutras were rediscovered in the early 20th century by Sri Bharati Krishna Tirthaji.

Research continues on using these sutras to create and develop applications on Geometry,

calculus, computing etc.

Thus, Vedic maths allows a student to master the concepts of mathematics in a simplified way.

Important aspects of Vedic Mathematics

Vedic Math is far more systematic, simplified, intuitive and unified than the conventional system.

It lays emphasis on fast and simplified techniques to solve complicated problems.

Problems can be solved with high accuracy and speed

Both the left and right side of the brain are used while solving problems in Vedic Maths. There is

improvement in mental ability, focus, sharpness, creativity and intelligence.

Teaches students alternative approaches to problem solving and provides with a set of checking

procedures for independent crosschecking at the time of examinations.

It complements the Mathematics curriculum conventionally taught in schools by acting as a

powerful checking tool and goes to save precious time in examinations.

It reduces the burden of remembering large number tables because it requires you to learn

tablesupto 9 only.

Vedi Math ope s stude t s i d a d e pa ds the possi ilities whe deali g with differe t ath problems.

In the Vedic system, the very first step is to recognize the pattern of the problem and pick up the

most efficient Vedic technique.

Reduces dependence on calculators and therefore sharpens your quantitative bent of mind

Vedic Maths is complementary to regular Maths in schools; hence on learning Vedic Maths, one

can excel in mathematics at school

It keeps the mind alert and lively because of the element of choice and flexibility.

It can introduce creativity in intelligent and smart students, while helping the slow- learners grasp

the basic concepts of mathematics. More and more use of Vedic math can generate interest in

a subject that is generally dreaded by children.

Extremely beneficial especially to students who are sitting for entrance examinations such as SAT,

CAT, IIT (engineering entrance exam), ACT etc. Research has shown that learning vedic

techniques can help save about 10-12 minutes in entrance examinations.

HOW IS VEDIC MATHEMATICS DIFFERENT THAN ABACUS

Difference between Vedic mathematics and abacus:

Vedic Math is quite different from Abacus. Vedic mathematics simplifies mathematical

operations where one uses shorter & simpler techniques to solve large calculations. Thus the

focus can be on finding the right approach to the solution rather than the

Calculation itself.

Abacus on the other hand uses a system where one uses an abacus frame with beads where

calculations are done using visualization of beads in clusters. It is quite a different method when

compared with conventional math. Vedic mathematics uses numbers the way they are used in

the conventional math.

Magic of Vedic Mathematics

What is 8 x 9?

In conventional math, one would simply rote it, but in Vedic math, a student can improvise the

answer just using bit of addition and subtraction.

Write the difference between the number and the base (the base is 10 here) below each number.

You get 2 and 1. Write them below 8 and 9.

8 x 9

21

If the child can do this, he/she can get the answer readily and easily. To get the unit place,

multiply the differences written below 8 and 9 (2 and 1). 2 x 1 is 2. Write it as the unit place of

the answer.

Now, to get the s pla e digit, su tra t a of the differe e fro the origi al u er rosswise su tra t either fro or fro . This is the s place digit of the answer.

8 – 1 is 7.

So 8 x 9 = 72.

VEDIC MATHEMATICS VS CONVENTIONAL METHOD

Few examples

a) Addition of big numbers : 1768 + 2829 + 957 + 9657 + 589

CONVENTIONAL VEDIC

Lets see how the first column adds

up

3 3 4 through vedic method

1 7 6 8 1 7 6 8

where the 1 from

17 carries left ward

2 8 2 9 2 8 2* 9 8+9 = 7, as a star next to 2

where the 1 from

14 carries left ward

0 9 5 7 0* 9* 5* 7 7+7 = 4 as a star next to 5

where the 1 from

11 carries left ward

9 6 5 7 9* 6* 5* 7 4+7 = 1 as a star next to 5

where the 1 from

10 carries left ward

+ 5 8 9 0* 5* 8* 9 1+9 = 0 as a star next to 8

1 5 8 0 0 1 5 8 0 0

n* = n+1

Conventional method:

-Has carry over

-Requires addition of multiple digit numbers (in the above sum, in the ones place the addition goes

like 17+7=24+7=31+9=40, 4 carries over)

-Need to remember big numbers while adding

Vedic method:

-No carry over concept, n*=n+1

-Requires addition of single digits always

-Does not require remembering big numbers while adding

b)Multiplying Two Digit Numbers

CONVENTIONAL VEDIC

1 4 1 4

* 1 2 * 1 2

2 8 1 6 8

+ 1 4 0

1 6 8

Multiplication parts through the vedic approach

c)

Multiplying big numbers

CONVENTIONAL VEDIC

1

1 2

1 2 1 2 4 Multiplicand

1 2 4 * 3 5 7 Multiplier

* 3 5 7 3 5 7 14 28 Parts of multiplication

1 8 6 8 6 1 2 20

1 6 2 0 0 1 0

+ 3 7 2 0 0 1 3 0*3 2

4 4 2 6 8 4 4 2 6 8

Multiplication parts through Vedic approach

-In the above multiplication, the conventional method has atleast 5 steps more than the vedic

method.

-Through vedic, more big numbers can be calculated faster than the conventional method

d) Cube root of perfect cube numbers with maximum six digits

-Group the given numbers into two parts such as the right part (RP) will consist of units, tens and

hundreds place digit and left part (LP) will have remaining digits.

-Select a number whose cube is nearest less than or equal to LP.

-Observe the unit place digit of RP and choose corresponding possible units place digits of cube

root

Find cube root of 1728

1 7 2 8

1 2 Answer

STEPS:

-Grouping: LP = 1 , RP – 728

-13 = 1 is equal to 1

-Units place digit of RP = 8 hence d = 2

-Cube root of 1728 is 12

e) Finding Square Root of a number ending with 5

Conventional Vedic

Number Left part Right part

(a52) a× (a+1) 52

f) Algebraic Computation

Multiplication parts through Vedic approach

g) Finding squares of Numbers Nearing 100

Conventional method Vedic

THE COURSE STRUCTURE

The course has been broken down into 10 levels. Please refer to the appendix for details of the

topics to be taught in each level.

Grades Level Upto No. of hours / Level

4 & 5 3 15

6 6 10 hrsupto level 5 and 20 hrs for level 6

7 & 8 10 10 upto level 5 and 20 hrs from level 6

onwards

The ai ook that we are goi g to e followi g is E jo Vedi Mathe ati s

Shriram M Chauthaiwale&Dr Ramesh Kolluru. This is an Art of living book.

The book would be supplemented by worksheets in every session. Each level will end with a test.

We would also be having group activities in some of the later sessions. The group activities would

involve solving interesting problems, puzzles, games etc using different concepts of vedicmaths.

APPENDIX - : Details of the different levels

Level 1 (Grades 4 - 8)

Addition by shuddha method

Subtraction by shuddha method

Simultaneous addition and subtraction

Single digit multiplier,

Group activity

Level 2 (Grades 4 - 8)

Two digit multiplier

Three digit multiplier

Four digit multiplier

Decimal number multiplication

Group activity

Karate -:

PAUNCHES (SUGI) - Jodansugi

Chudansugi

Gedansugi

BLOCKS (UKE) - Jodanagiuke

Chudanuchiuke

Chudanuke

Gedanuke

KICKS (GERI) - Mawasigeri

Uramawasigeri

Nidangeri

Chudangeri

Yoko giri

Kin geri

STANCE (DACHI) - Heisokudachi

Chusgi

Kibadachi

Zenkutsudachi

KATA - Taikyokushodan

Heian shdan

Heian nidan

Heian sandan

End of the class will take belt exam and kata, kumite tournament for the kids with

certificates.

If student has any senior belt holder from other class, also will give training and take next

exam as per belt.

Music -:

For Beginners.

By the end of this course, you will:

Learn to Read Guitar Tablature(guitar)

Learn to read Musical Notation

Learn the basics of the Guitar,Key Board

Play the Major Scales

Learn to strum/play on different Rhythms

Play the lead for simple songs

Strum/play the chords for simple and easy songs.

For Semi- Advanced:

By the end of the course, you will:

Learn to Read Guitar Tablature(guitar)

Learn to read Musical Notation

Learn Bar Chords

Learn Major and minor Scales

Learn to play songs with more than 4 chords which includes the combination of Major and

Minor Chords.

Play the lead of some famous songs.