Levels - Vedank Academy

Courses Levels

Basic Level

Mental Addition
Mental Subtraction
Addition
- Complete the Whole
- Split
- Decompose
Balancing
- Table for 2-Digit numbers
- Table for 3-Digit numbers
Digit Sum
- Verification
- Design with Digit Sum
Multiplication of numbers ending 1
Multiplication of numbers starting 1

Multiplication by 9 with 2 and 3-Digit numbers
Multiplication by 1 Digit with # Digits
Dodging Method
Division by 9
Multiplication by 11
Multiplication by 111
Special Multiplication
- Units place digits sum 10
- Units place digits same
Doubling
- Multiplication by 4, 8, 16
- Division by 5, 50, 25, 125

Halving
- Division by 4, 8, 16
- Multiplication by 5, 50, 25, 125
Subtraction
- All From 9 Last From 10
Subtraction – General Method
Multiplication – General Method
- Vertically and Crosswise
Addition – General Method
- Columnar
Table of 12 – 19 (Mentally)

Intermediate Level

Reviews of Basic Level
Addition – General Method
- Using Bar
Subtraction – General Method
- All From 9 Last From 10
Multiplication by 6
- with Even and Odd number
Division 8
Vinculum
Devinculum
Table for 2 and 3-Digit numbers
- using Vinculum

Multiplication by 15
Multiplication – General Method
- Vertically and Crosswise – 3D x 3D
Division – General Method
- Flag Method
Table of 21 – 99 Mentally
Division by 11, 12
Division by 99, 98, 97 (Base Method)
Addition and Subtraction Together
Design with Digit Sum

Addition and Subtraction of Time
Convert Kilometers to Miles
Convert Miles to Kilometers
Multiplication – Base Method
- below 20 – 100
- above 10 – 100
Multiplication with 101, 1001, 201, etc.
Subtraction – General Method
- using Vinculum
- Design with Digit Sum

Advanced I Level

Addition
- Base Method
- Using Complements
- By Splitting and Decomposing
- Dot Method
Addition of decimal numbers
Addition of Time
Subtraction
- Using All from 9 and Last from 10
- Using Vinculum and Devinculum
- Base Method
Subtraction of decimal numbers
Subtraction of Time
Columnar Addition and Subtraction together
Multiplication
- Multiplication by 1-digit number using Balancing
- Multiplication by 11 and multiples of 11
- Multiplication by 12 to 19, 112 to 119 ……
- Multiplication by 111 & multiples of 111
- Multiplication Base Method (Below, Above, Mixed and Different Bases)
- Multiplication if the sum of units digits is 10 and rest place digits are same
- Multiplication if the sum of tens place digits is 10 and units place digits are same

- Squares of numbers ending with 5
- Squares of numbers starting with 5
- Multiplication by 9 & numbers ending with 9
- Multiplication by 9 with 2 and 3-digit number
- Multiplication by both numbers ending with 9
- Multiplication General Method (2-digit x 2-digit, 3-digit x 3-digit and so on)
- Multiplication by number of 9s
- Multiplication 3 Rows (General Method)
- Multiplication 3 Rows (Base Method)
- Approximations (Decimal Multiplication)
- Multiplication by 6
- Multiplication by 15
- Multiplication by 5, 50, 500….
- Multiplication by 25, 125, 150 ….
- Multiplication of numbers ending with 5
- Multiplication of numbers starting with 1
- Multiplication of numbers ending with 1
- Multiplication by 101, 1001 ….
Table of 3-digit number using Balancing
Tables Using Vinculum and Devinculum
Table of 12 – 19 Mentally

Table of 21 – 99 Mentally
Division
- Division by 5, 50, 500 ….
- Division by 25
- Division by Base Method
- Division by General Method
Divisibility Rules
Digit Sum
- Design with Digit Sum
Algebraic Division
Squares
- Using Duplex Method
- Using Base Method
Addition and Subtraction of Squares by Duplex Method
Fourth Power
Square Root
- For Perfect Squares
- For Imperfect Squares
Fractions
Addition of Fractions
Subtraction of Fractions
Cubes by Base Method
Cube root of Perfect Cubes
Auxiliary Fractions
Magic Squares

Advanced II Level

Pythagoras Theorem Proofs (Baudhyana’s Theorem)
Finding the sides of a Triangle when one side is given
Finding the possible numbers when the difference of squares of two numbers is given
Triples
- Addition and their graphical representation
- Subtraction and their graphical representation
- Double Angle and their graphical representation
- Half angle and their graphical representation
- Finding the triple of a point and a line

Coordinate Geometry
Finding the distance between a point and a line (with and without constant)
Finding the equation of a line passing through two points
Simple Equations
Factorization
Trigonometry
Inverse Trigonometry

Differential Calculus
Integral Calculus
Partial Fraction

Master Level

Addition
- Base Method
- Using Complements
- By Splitting and Decomposing
- Dot Method
Addition of decimal numbers
Addition of Time
Subtraction
- Using All from 9 and Last from 10
- Using Vinculum and Devinculum
- Base Method
Subtraction of decimal numbers
Subtraction of Time
Columnar Addition and Subtraction together
Table of 12 – 19 Mentally
Division
- Division by 5, 50, 500 ….
- Division by 25
- Division by Base Method
- Division by General Method
Divisibility Rules
Digit Sum
- Design with Digit Sum
Algebraic Division
Squares
- Using Duplex Method
- Using Base Method
Addition and Subtraction of Squares by Duplex Method
Fourth Power
Algebraic Multiplication
Table of 3-Digit number using Balancing
Tables Using Vinculum and Devinculum
Table of 21 – 99 Mentally

Multiplication
- Multiplication by 1-digit number using Balancing
- Multiplication by 11 and multiples of 11
- Multiplication by 12 to 19, 112 to 119 ……
- Multiplication by 111 & multiples of 111
- Multiplication Base Method (Below, Above, Mixed and Different Bases)
- Multiplication if the sum of units digits is 10 and rest place digits are same
- Multiplication if the sum of tens place digits is 10 and units place digits are same
- Squares of numbers ending with 5
- Squares of numbers starting with 5
- Multiplication by 9 & numbers ending with 9
- Multiplication by 9 with 2 and 3-digit number
- Multiplication by both numbers ending with 9
- Multiplication General Method (2-digit x 2-digit, 3-digit x 3-digit and so on)
- Multiplication by number of 9s
- Multiplication 3 Rows (General Method)
- Multiplication 3 Rows (Base Method)
- Approximations (Decimal Multiplication)
- Multiplication by 6
- Multiplication by 15
- Multiplication by 5, 50, 500….
- Multiplication by 25, 125, 150 ….
- Multiplication of numbers ending with 5
- Multiplication of numbers starting with 1
- Multiplication of numbers ending with 1
- Multiplication by 101, 1001 ….

Square Root
- For Perfect Squares
- For Imperfect Squares
Fractions
Addition of Fractions
Subtraction of Fractions
Cubes by Base Method
Cube root of Perfect Cubes
Auxiliary Fractions
Magic Square
Pythagoras Theorem Proofs (Baudhyana’s Theorem)
Fractions
Finding the sides of a Triangle when one side is given
Triples
- Addition and their graphical representation
- Subtraction and their graphical representation
- Double Angle and their graphical representation
- Half angle and their graphical representation
- Finding the triple of a point and a line
Coordinate Geometry
Finding the distance between a point and a line (with and without constant)
Finding the equation of a line passing through two points
Simple Equations
Factorization
Trigonometry
Inverse Trigonometry
Differential Calculus
Integral Calculus
Partial Fraction

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