Abacus Course

Lesson 1 • Place Value on the Soroban

Explains how rods represent units, tens, hundreds, and beyond. Connects positional notation to physical bead placement.

Lesson 2 • History and Origins of the Soroban

Traces the soroban's evolution from the Chinese suanpan to its Japanese refinement. Establishes cultural and practical context for modern use.

Lesson 3 • Anatomy of the Soroban

Identifies every physical component: frame, rods, beads, and dividing bar. Understanding structure is prerequisite to correct bead manipulation.

Lesson 1 • Setting Single-Digit Numbers

Introduces the two-finger technique for moving earth and heaven beads. Mastery of single digits forms the basis for all larger number entry.

Lesson 2 • Reading Numbers Accurately

Trains the eye to decode bead positions into numeric values instantly. Accurate reading is as critical as accurate setting.

Lesson 3 • Setting Multi-Digit Integers

Extends single-digit skills to numbers spanning multiple rods. Students practise entering two-, three-, and four-digit numbers fluently.

Lesson 1 • Direct Addition Without Carrying

Covers simple addition where bead availability allows straightforward moves. Builds muscle memory for the most common addition scenarios.

Lesson 2 • Multi-Digit Column Addition

Applies all addition techniques to multi-digit problems processed column by column. Students add three or more addends accurately.

Lesson 3 • Complementary Addition with 5

Introduces the 5-complement technique when earth beads are insufficient. Students learn to set 5 and subtract the complement simultaneously.

Lesson 1 • Direct Subtraction Without Borrowing

Covers cases where sufficient beads exist for straightforward removal. Reinforces bead-movement habits established in addition.

Lesson 2 • Complementary Subtraction with 10

Teaches borrowing from the next rod using 10-complements. Students handle multi-rod subtraction without confusion.

Lesson 3 • Complementary Subtraction with 5

Introduces the 5-complement method when earth beads are insufficient for direct removal. Mirrors the addition complement logic in reverse.

Lesson 1 • Speed and Accuracy in Multiplication

Builds fluency through timed drills and self-assessment benchmarks. Students identify personal bottlenecks and apply targeted practice.

Lesson 2 • Multiplication with Decimals

Adapts the algorithm for decimal factors and explains product decimal placement. Students verify decimal position using estimation.

Lesson 3 • Multiplication Fundamentals

Reviews multiplication table recall and introduces rod-placement conventions for products. Correct starting position prevents systematic errors.

Lesson 4 • Single-Digit Multiplier Problems

Applies the algorithm to multi-digit multiplicands with a one-digit multiplier. Students practise systematic left-to-right product accumulation.

Lesson 1 • Division with Decimals

Covers decimal dividend and divisor scenarios with correct quotient decimal placement. Estimation confirms decimal position before finalising answers.

Lesson 2 • Speed and Accuracy in Division

Develops division fluency through progressive timed challenges. Students benchmark performance and address recurring error patterns.

Lesson 3 • Division Fundamentals

Introduces quotient estimation and rod-placement conventions for dividend and divisor. Correct setup is essential before any digit is computed.

Lesson 4 • Two-Digit Divisor Division

Extends the algorithm to two-digit divisors, requiring trial quotient adjustment. Students learn revision techniques when initial estimates are off.

Lesson 1 • Flash Anzan Introduction

Introduces flash anzan, where numbers appear briefly and students sum them mentally. Develops rapid image formation and bead-movement speed.

Lesson 2 • Mental Multiplication

Extends mental visualisation to multiplication, managing partial products in the mind. Builds on physical multiplication skills from Chapter 5.

Lesson 3 • Sustaining Mental Calculation Accuracy

Addresses accuracy degradation under speed and fatigue. Students develop self-monitoring habits to maintain precision during mental work.

Lesson 4 • Building the Mental Soroban Image

Guides students to internalise the soroban's visual layout without the physical tool. A stable mental image is the foundation of anzan practice.

Lesson 1 • Competitive Soroban Problem Sets

Exposes students to the format and pacing of soroban competitions. Timed problem sets build the composure and speed required at advanced levels.

Lesson 2 • Real-World Calculation Scenarios

Applies soroban skills to practical contexts such as financial totals, measurement conversions, and inventory calculations. Bridges classroom skill to workplace use.

Lesson 3 • Square Root Extraction

Introduces the soroban square root algorithm using successive approximation. Students extract roots of perfect and imperfect squares systematically.

Lesson 4 • Integrated Skill Assessment

Evaluates mastery across all operations through comprehensive timed tests. Identifies remaining gaps and prescribes targeted remediation.