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Abacus Syllabus & Learning Structure

At Abacus Trainer, our extensive Abacus syllabus is divided into Junior (for learners aged 5 to 8 years old) and Senior (for learners aged 9 to 14 years old), allowing us to cater to the developmental needs of learners at varying stages. This structured Abacus and Vedic Maths syllabus is designed to enhance mental calculation and confidence.

Each Level Duration: 3 months
Class Frequency: 2 classes per week

Junior Abacus Program (Ages 5–8)

Strengthening addition, subtraction, multiplication, and visualization skills is made fun and engaging with the use of playful and interactive Abacus topics in the Junior program for kids aged 5 to 8. Young learners are equipped with essential skills as they embark on the journey of discovering numbers through the Abacus maths syllabus.

Senior Abacus Program (Ages 8–11)

Older students are empowered with fast, efficient, and powerful mental math via the senior program. In addition to the Abacus topics, the curriculum includes Vedic maths syllabus concepts like decimals, percentages, roots, and other advanced topics, giving students a competitive academic edge.

Junior Abacus Program

For learners aged 5 to 8 years

Level 1

  • Introduction to Abacus
  • Single digit Addition & Subtraction
  • 5's & 10's Complements

Level 2

  • Single & Double digits Addition & Subtraction
  • 5's, 10's & Mixed Complements
  • Mental Calculation via Visualization

Level 3

  • Addition & Subtraction of Single, Double & Triple digits
  • Enhanced Mental Calculation via Visualization

Level 4

  • Introduction to Multiplication: SD × SD
  • DD × SD, TD × SD
  • TD × DD with Mental Training

Level 5

  • Multiplication of DD × SD, TD × SD
  • DD × DD, TD × DD
  • Mental Calculation Practice

Level 6

  • Introduction to Division: DD / SD
  • TD / SD, FD / SD
  • Multiplication of TD × TD with Mental Training

Senior Abacus Program

For learners aged 8 to 11 years

Level 1

  • Introduction to Abacus
  • Single & Double digit Addition & Subtraction
  • 5's & 10's Complements

Level 2

  • Single, Double & Triple digits Addition & Subtraction
  • Mental Calculation via Visualization

Level 3

  • Introduction to Multiplication: SD × SD
  • DD × SD, TD × SD, TD × DD
  • Mental Calculations

Level 4

  • Introduction to Division: DD / SD, TD / SD, FD / SD
  • Multiplication of TD × TD
  • Mental Training in Add/Sub/Multiplication

Level 5

  • Division of TD / DD, FD / DD, FD / TD
  • Decimal Addition & Subtraction
  • Mental Training in All Operations

Level 6

  • Decimal Multiplication & Division
  • Mental Training in Add/Sub/Mul/Div

Level 7

  • Introduction to LCM & GCD
  • Mental Training in All Four Operations & Decimal Add/Sub

Level 8

  • Square Roots & Percentages
  • Mental Training in +, -, ×, ÷, Decimals, LCM & GCD

Level 9

  • Cube Roots & Negative Numbers
  • Decimal Operations and Square Roots

Level 10

  • Final Proficiency Review
  • Advanced Mental Calculation Drills
  • Comprehensive Skill Assessment

Vedic Maths Program

For learners aged 11 to 15 years

Level 1

  • Completing the Whole
    • Multiples of Ten
    • Deficiency from Ten
    • Mental Addition (By Addition & By Subtraction)
  • Doubling and Halving
    • Doubling
    • Halving
    • Extending Your Tables
    • Multiplying by 5, 50, 25
    • Dividing by 5, 50, 25
  • Digit Sums
    • Adding Digits
    • Casting Out Nines
    • Digit Sum Puzzles
    • The Digit Sum Check
  • Left to Right Techniques
    • Addition: Left to Right
    • Multiplication: Left to Right
    • Doubling & Halving
    • Subtraction: Left to Right
    • Checking Subtraction Sums
  • All from 9 & the Last from 10
    • Applying the Formula
    • Subtraction
    • One Less / One More Concepts
    • Money Calculations
  • Number Splitting
    • Addition
    • Subtraction
    • Multiplication
    • Division

Level 2

  • Base Multiplication
    • Times Tables
    • Numbers Just Over Ten
    • Numbers Close to 100
    • Larger Numbers
    • Proportionately
    • Multiplying Numbers Near Different Bases
    • Squaring Numbers Near a Base
    • Summary
  • Checking & Divisibility
    • Digit Sum Check for Division
    • The First by the First and the Last by the Last
    • Divisibility by 4
    • Divisibility by 11
  • Bar Numbers
    • Removing Bar Numbers
    • Subtraction with Bar Numbers
    • Creating Bar Numbers
    • Using Bar Numbers
  • Special Multiplication Techniques
    • Multiplication by 11
    • By One More Than the One Before
    • Multiplication by 9's
    • The First by the First and the Last by the Last
    • Using the Average
    • Special Numbers
  • General Multiplication
    • Revision
    • Two-Figure Numbers
    • Moving Multiplier
    • Multiplying Binomials
    • Multiplying 3-Figure Numbers

Level 3

  • Squaring Techniques
    • Squaring Numbers that End in 5
    • Squaring Numbers Near 50
  • General Squaring
    • The Duplex
    • Number Splitting
    • Algebraic Squaring
    • Digit Sums of Squares
    • Square Roots of Perfect Squares
    • Duplex of 3, 4 & 5 Figure Numbers
  • Equations
    • One-Step Equations
    • Two-Step Equations
    • Three-Step Equations
  • Fractions
    • Vertically & Crosswise
    • A Simplification
    • Comparing Fractions
    • Unification of Operations
  • Special Division
    • Division by 9
    • Division by 8
    • Division by 99, 98
    • Divisor Below a Base Number
    • Divisor Above a Base Number
  • The Crowning Gem
    • Single Figure on the Flag
    • Short Division Digression
    • Longer Numbers
    • Negative Flag Digits
    • Decimalizing the Remainder

Level 4

  • Special Methods
    • Multiplication - One Number Above the Base & One Below the Base
    • Multiplication – 4-Figure Numbers
  • Vertically & Crosswise
    • Multiplication - Using Bar Numbers
    • Multiplication by 11 & 9
  • Percentages
    • Increasing Percentages
    • Reducing Percentages
  • Square Roots
    • Two-Figure Answers in Square Roots
    • Three-Figure Answers in Square Roots
  • General Square Roots
    • Find the First 3 Figures in the Square Roots of Numbers
    • Find the First 4 Figures in the Square Roots of Numbers
  • Divisibility Rules
    • Ekadhika
    • Testing Divisibility by 7, 13, 17, 19, 23, 29, 49
    • Testing Divisibility for Longer Numbers
    • Other Divisors: 58, 38, 65, 46
    • Negative Osculation – Divisibility by 31
    • Testing Divisibility by 21, 61, 71

Begin Your Abacus Journey Today!

Equip your child—or pursue your own teaching career—using the structured, time-tested Abacus maths tricks and Vedic maths course syllabus from Abacus Trainer.

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info@abacustrainer.com
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