Abacus Syllabus
Junior & Senior Level — A structured learning pathway from basic number skills to advanced Mental Math.
🧮 KCA Abacus Learning Pathway
KCA Abacus-এর curriculum ধাপে ধাপে designed করা হয়েছে। Junior Level-এ শিশুর foundation তৈরি হয় এবং Senior Level-এ সেই foundation ব্যবহার করে advanced calculation ও Mental Math skills develop করা হয়।
Junior Level
4 Levels • Foundation to Basic Mental Math
01
Level 1 — Foundation
Numbers & Basic Calculation
⌄
🔢 Number Foundation
- 1–99 Numbers
- Number recognition
➕➖ Basic Calculation
- 1 digit (+, −)
- No combination
🖐 Fingers + Abacus
- Finger movement
- Basic Abacus operation
02
Level 2 — Basic Combination
+5 Combination & Mental Introduction
⌄
🧮 Fingers + Abacus
- +5 Combination
- 1 digit (−, +)
- Finger + Abacus practice
🧠 Mental Theory
- (+, −) 1 digit
- No combination
03
Level 3 — Combination Skills
±5 Combination & 1–2 Digit
⌄
🧮 Fingers + Abacus
- +5 Combination
- −5 Combination
🔢 Calculation
- 1 digit + 2 digit
🧠 Mental Theory
- +5 Combination (1 digit)
04
Level 4 — Foundation Mastery
+10 Combination & 2 Digit
⌄
🧮 Fingers + Abacus
- +5 Combination
- −5 Combination
- +10 Combination
🔢 Calculation
- 2 digit
🧠 Mental Theory
- +5 Combination
- −5 Combination
Senior Level
8 Levels • Advanced Abacus & Mental Math
01
Level 1 — Foundation
Numbers & Basic Combinations
⌄
🧮 Finger Theory & Abacus
- 1 to 99 Numbers
- +5 Combination
- −5 Combination
- +10 Combination
🧠 Mental Theory
- (+, −) 1 & 2 digits — No Combinations
- Lower & Upper Beads
02
Level 2 — Basic Operations
Combinations & Multiplication
⌄
🧮 Finger Theory & Abacus
- −10 Combinations
- +6 ~ +9 & −6 ~ −9 Combinations
✖️ Multiplication
- 2 digits × 1 digit
- Tables 1–9
🧠 Mental Theory
- (+, −) 1 & 2 digits
- +5 / −5 Combination
- +10 Combination
- +9, +8, +7, +6
- −9, −8, −7, −6
03
Level 3 — Multi-Digit
2–3 Digit Calculation
⌄
➕➖ Abacus
- (+, −) 2 digits — All Combinations
- (+, −) 3 digits — All Combinations
✖️ Multiplication
- 2 × 1 digit
- 3 × 1 digit
- 4 × 1 digit
🧠 Mental Theory
- (+, −) 2 digits — All Combinations
- 2 × 1 digit Multiplication
04
Level 4 — Decimal & Division
Advanced Operations
⌄
➕➖ Abacus
- 2 & 3 digit All Combinations
- Decimal Point All Combinations
✖️ Multiplication
- 3 × 1 digit
- 4 × 1 digit
- 2 × 2 digits
➗ Division
- 2 ÷ 1 digit
- 3 ÷ 1 digit
- 4 ÷ 1 digit
🧠 Mental Theory
- 2 & 3 digit All Combinations
- Decimal Points
- Multiplication 2×1, 3×1, 4×1
- Division 2÷1 digit
05
Level 5 — Advanced Calculation
Higher-Digit Multiplication & Division
⌄
➕➖ Abacus
- 3 digit All Combinations
- 4 digit All Combinations
- Decimal Point All Combinations
✖️ Multiplication
- 2 × 2 digits
- 3 × 2 digits
- 2 × 3 digits
➗ Division
- 3 ÷ 1 digit
- 4 ÷ 1 digit
- 3 ÷ 2 digits
- 4 ÷ 2 digits
🧠 Mental Theory
- 2 & 3 digit All Combinations
- Decimal Points
- 3×1, 4×1, 2×2 Multiplication
- 2÷1, 3÷1, 4÷1 Division
06
Level 6 — Fractions
Advanced Mental Math
⌄
➕➖ Abacus
- 4 digit All Combinations
- Decimal Point All Combinations
✖️ Multiplication
- 4 × 2 digits
- 4 × 3 digits
- 3 × 3 digits
➗ Division
- 3 ÷ 2 digits
- 4 ÷ 2 digits
- 5 ÷ 2 digits
🧠 Mental Theory
- 2 & 3 digit All Combinations
- Decimal Points
- 2×2, 3×2, 4×2 Multiplication
- 4÷1, 3÷2, 4÷2 Division
- Introduction of Simple Fractions
07
Level 7 — Complex Calculation
Fractions, Percentages & Square
⌄
➕➖ Abacus
- 4 digit All Combinations
- 5 digit All Combinations
- Decimal Point All Combinations
✖️ Multiplication
- 3 × 3 digits
- 4 × 2 digits
- 4 × 3 digits
➗ Division
- 4 ÷ 2 digits
- 5 ÷ 2 digits
- 5 ÷ 3 digits
🧠 Mental Theory
- 2 digit All Combinations — 10 Rows
- 3 digit All Combinations
- Decimal Points
- 3×2, 2×3, 3×3, 4×3
- 4÷2, 5÷2, 4÷3, 5÷3
- Complex Fractions & Percentages
- Square
08
Level 8 — Mastery
BODMAS, Square Roots & Advanced Mental Math
⌄
🧠 Mental Theory
- 3 digit All Combinations
- 4 digit All Combinations
- Mixed (+, −, ×, ÷) with BODMAS Rule
- Decimal Point All Combinations
- Square Roots
- 3 × 3 digit Multiplication
🧮 Abacus
- 4 digit (+, −) All Combinations
- 5 digit (+, −) All Combinations
- 4 & 5 digit Advanced Practice
➗ Advanced Division
- 6 digits ÷ 3 digits
- 5 digits ÷ 3 digits
- Decimal Points All Combinations
- Square Roots
🌟 From Foundation to Advanced Mental Math
KCA Abacus Junior Level builds the essential foundation through numbers, fingers and Abacus practice. Students then progress into the Senior Level, where they develop advanced calculation, multiplication, division, fractions, percentages, BODMAS and square-root skills.
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