Sarwan's Video Collection

You Tube Channel,

0. Possibilities with Vedic Math,
1. Taste of sutras,
2. Subtractions,
i. Subtractions by Sutras,
ii. Subtractions as Game,
iii. Subtraction by Zones,
iv. Subtraction using Negative Numbers,

3. Multiplications,

4. Base Multiplication,
i. Basic Base Multiplications,
ii. Proportional Base Multiplications,
iii. Multiplication by Sequence of Nines,

5. Digit Sum and More,
i. Operations with Nine and Digit Sum,
ii. Vedic Square and divisibility rules,
iii. Result Checking with Digit Sum,

6. Divisibility Rules,
i. Divisibility by Remainders,
ii. Divisibility by Pseudo Division,
iii. Divisibility by Osculation,

7. Fractions,
8. Nikhilam Method of Division,
9. Transpose and Apply Method of Division
10. Intro to Equations,

11. Straight Division,
i. Common Links amongst Vedic Math Divisions,
ii. Straight Division: 2 digit divisors,
iii. Straight Division: 3 digit divisors,
iv. Straight Division: 4 or more divisor digits,
12. Squares,
i. Squares from “Observations in Figuring” by Shakuntala Devi,
ii. Square of Numbers Ending in 5,
iii. Squares using Base Multiplications,
iv. Squares using Formulas,
v. Squares using Duplexes,

13. Cube Roots,
i. Cube Roots - First Principles,
ii. Cube Roots (of Perfect Cubes) by observation,
iii. Cube Roots by Divide and Conquer,
iv. Cube Root (of a perfect cube) using polynomials,

14. Intro to Algebra:
i. Algebra Basics (background),
ii. Add Subtract Algebraic Expressions,
iii. Algebra Multiply,
iv. Algebra Divide,

15. Square Roots,
i. First Principles of Square Roots,
ii. Square Roots by Observation,
iii. Square Root of Small Perfect Squares,
iv. Square Root by V & C Multiplication,
v. Square Root by Vertically & Crosswise Division,

16. Tips and Short Cuts,
i. Divisibility by 4,
ii. Converting between Kg and Pounds,
iii. Converting between Miles and Km,
iv. Conversion between Celsius and Fahrenheit,
v. Recurring Number for 1/7,

17. Decimals
i. Decimals - Background,
ii. Decimals - Add and Subtract,
iii. Decimals - Multiply and Divide,

18. Percentages,
i. What are Percentages?
ii. Percentages – Situations of using %ages,
iii. Percentages - Simple Interest,
iv. Percentages – Compound Interest,
v. Percentages – Investment Returns,
vi. Percentages – Discounts,

19. HCF,
i. What is HCF?
ii. HCF by “Divide and Conquer”,
iii. HCF by Division,
iv. HCF by “By Addition and by Subtraction”,

20. Least Common Multiples
i. What is LCM?
ii. LCM using factors
iii. LCM using divisions
iv. LCM using vertically and crosswise

Workshop videos
i. By Completion,
ii. Subtraction: Divide and Conquer,
iii. Doubling and Halving,
iv. Multiply by Completion,
v. Intro to Equations,
vi. Digit Sum and Divisibility Rules,
vii. Divisibility Rules,
viii. General Multiplication,


Outline of Planned Classes
(4th to 8th grades)

1. Taste of sutras,
i. By Addition and by subtraction
ii. By multiplication and by division
iii. Addition from right and from left
iv. Carries to left and to right
v. Only the last digits
vi. By Completion
vii. Arithmetic Series
viii. Sum of odd numbers, starting from 1, is square of number of terms added

2. Doubling and Halving,

3. Subtractions,
A. Subtractions by Sutras -
i. All from nine and last from nine
B. Subtractions as Game
i. Home Team and visiting team
ii. Types of columns
iii. Rules of the game
iv. Handling of tough challenge
C. Subtraction by Zones
i. Formalize observations
ii. Identify zones: dreaded zone, pay-off column, and safe zone
iii. List rules of subtractions for each zone
iv. Clarify with Example
D. Subtraction using Negative Numbers
i. Define negative numbers
ii. Use these in subtractions
iii. Resolve negative numbers in result

4. General Multiplication,
i. Develop VM method of Vertically and Crosswise from 2-digit by 2-digit multiplication
ii. Use in multiplying algebraic expressions
iii. Study the pattern
iv. Extend to 3-digit by 3-digit and to 4-digit by 4-digit multiplication
v. Use ‘Moving Multiplier’ in m-digit by n-digit multiply

5. Base Multiplication,
A. Use Straight Base Numbers
i. Use natural base numbers to multiply
ii. Develop the method used
B. Use Proportional Base Number Multiplication
i. Show that a random number may be used as working base
ii. Extend base multiplication by using proportional base numbers
iii. Apply to square of numbers ending in 5
iv. Explore its variations
C. Multiplication by Sequence of Nines and More
i. Multiplication by sequence of nines – three cases
ii. Explore use in computing recurring numbers
iii. Handing of cases, where operands are close to different base numbers

6. Briefly describe multiply by 11, 12, 1111, 2222 etc.
Digit Sum and More,
A. Operations with 9
i. Add 9, subtract 9, and multiply by 9
ii. Divide by 9 by adding digits in dividend
B. Digit sum
C. Vedic Square from multiplication table
i. Divisibility rules from Vedic Square
D. Result checking using digit sum – only the necessary condition

7. Divisibility Rules,
A. Divisibility by Remainders
i. Division definition and discussion of remainder
ii. Divisibility by 2, 4, 8, and 16 using remainders
iii. Divisibility by 3, 6, 9 using digit sum (remainder from dividing by 9)
iv. Divisibility by 5 and 10 using remainders
v. Divisibility by 11 and again using remainder
B. By Pseudo Division
C. By Osculation

8. Fractions,
A. Common fractions
B. Decimal fractions
i. Exact fractions
ii. Recurring fractions
C. Proper, improper, and mixed fractions
D. Source of Fractions
E. Equivalent Fractions and Reduction
F. Add/Subtract
i. Common denominator case
ii. One denominator multiple of the other
iii. Common Factor in denominator
iv. General case
G. Multiply/Divide
H. Simplify

9. Negative (Bar) Numbers from Teacher’s Manual – Elementary Level

10. Nikhilam Method of Division,
A. Division by 9 and by 8
B. Illustrate 2- step division
C. Use 2-step division in the rest of the video
D. Divide N by 29, 100/19, and 3/39
E. Computed recurring numbers using 2 step division and proportional base number
F. Divided by 88, base 100
G. Divided by 89, base 100
H. Divided by 89, proportional base 90
I. Divide by 887, base = 1000
J. Divide by 5897, proportional base = 6000
K. Observe that adjustments are like vertically and crosswise multiplication
L. Establish that this method is emulating general division method of straight division, we intend to discuss in a later video
i. It seems that 2-step division is one of those skipped over details, allowed in VM. With 2-step division identified, we can introduce Math into Nikhilam Method of division:
ii. Instead of drawing a line to the left of 3 digits, we can divide the dividend by 1000, the first division. The former seems like a trick or magic and later is Math.

iii. Instead of bringing down a dividend digit to the quotient line, we can divide dividend digit by 1, the second division, to get a quotient digit.

iv. Bringing down the dividend digit does not work in cases of proportional base numbers. Dividing by 2nd division still works.

v. Establishing that this method emulates straight division, we should be able to use this method for any general division. In some cases, straight division would be easier to implement.

11. Transpose And Apply Method of Division,
A. Division by 11, base 10
B. Division by 12, base 10
C. Division by 32, base 30
D. Altered Remainders
E. Division by 72
F. Issues in 1/13 – resolve by using “Altered Remainders”
G. Division by 112, base 100
H. Division by 311, base 300
I. Division by 1103, base 1000
J. Division by 6112, base 6000

12. Introduction to Equations,
A. What is an equations
B. Where do the equations come from
C. Equation from a word problem
D. Think of a number game
E. Reversal method
F. Transpose and Apply method

G. Equations solved with zero transpose
H. Equations solved with one transpose
I. Equations solved with two transposes
J. Equations solved with three transposes
K. Equations solved with more transposes

13. Straight Division,
A. Functional Equivalency of all VM division methods
B. Divide by 2 digit divisors
C. Divide by 3 digit divisors
D. Divide by 4 or more digit divisor
E. Divide and conquer basis for all VM division methods

14. Intro to Algebra,
A. Algebra Basics
i. What is Algebra?
ii. What does it do it for us?
iii. Values of variables
iv. Compare Algebraic expression with a number
v. Classifications of expressions in Algebra
B. Algebra Add/Subtract
i. Add/Subtract Monomials, Binomials
ii. Add/Subtract linear, quadratic, and cubic expressions
C. Algebra Multiply
i. Multiply with constant
ii. Multiply with monomial
iii. Multiply linear expressions – use conventional, base, and VC methods
iv. Multiply quadratics – use conventional and VC methods
v. Moving multiplier method
D. Algebra Divide
i. Dividing by monomial
ii. Divide by linear expression – conventional method, by completion, and by “transpose and apply” method
iii. Divide by (x - 1) like dividing by 9 and by (x + 1) like dividing by 11
iv. General Division by “Transpose and Apply” method

15. Squares,
A. From observations from “Figuring” by Shakuntala Devi
B. For numbers ending in 5 and its variants
C. By base multiplications
D. By formulae
E. By using duplexes (vertically and crosswise multiplications)

16. Cube root of perfect cube of up to six digits,
A. Definition of cube and cube root
B. First principles for perfect cubes
C. By observation
D. By Divide and Conquer – use divisibility rules
E. By using polynomials (for larger cubes)

17. Square root,
A. First Principles of Square Roots
B. Square Roots by Observation
C. Square Root of Small Perfect Squares
D. Square Root From Vertically & Crosswise Multiplication
E. Square Root By Vertically & Crosswise Division

18. Tips and Short Cuts,
A. Divisibility by 4
B. Temperature conversion
C. Pound – Kilo conversion
D. Miles – Km conversion
E. Recurring (fraction) number for 1/7

19. Decimals,
A. Decimals - Background
B. Decimals - Add and Subtract
C. Decimals - Multiply and Divide

20. Percentages,
A. What are Percentages?
B. Percentages – Situations of using %ages
C. Percentages - Simple Interest
D. Percentages – Compound Interest
E. Percentages – Investment Returns
F. Percentages – Discounts

21. HCF,
A. What is HCF
B. HCF by “Divide and Conquer”
C. HCF by Division
D. HCF by “By Addition and by Subtraction

22. Least Common Multiples
A. What is LCM?
B. LCM using factors
C. LCM using divisions
D. LCM using vertically and crosswise

23. Recurring decimals
A. Some fractions
B. Get 1/7 from remainders
C. Analyze 1/7
D. Sub-sutra “For 7 , multiplicand is 143”
E. General method for 1/19 – divide by 19 using 2-step division and proportional base number
F. Compute recurring digits for 1/19 directly
G. Get 1/7 from 7/49

23. Coordinate Geometry –
A. Equation of straight line through two points
B. parallel to a given line and through given point
C. perpendicular to given line and through a given point




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