What is Mental Arithmetic?
Mental Arithmetic is a tested way of developing a child’s academic abilities and creative thinking in a balanced way, allowing them to reach their full intellectual potential. It’s more than learning how to count fast. Mental arithmetic leads to:
• A powerful visual and auditory memory
• Increased concentration
• Resourcefulness
• Innovative problemsolving methods
• Improved thought processes
At the beginning of the course, an abacus is used to learn the counting techniques. Later, children learn to do calculations in their head by forming a mental image of a number on the abacus and can do all mathematical operations (addition, subtraction, multiplication, and division) with any numbers in mind.
What you will learn
Great teachers help create great students. It is crucial to keep teachers’s knowledge up to date, so they can deliver highquality teaching. That’s why we pay close attention to teachers and support both new and experienced educators, which in turn, helps improve students’ learning.

Addition and Subtraction with 2 and 3digit numbers, using all methods

Mental Calculation techniques

Common mistakes
Preparatory level (35 months)
During the course we will introduce you to numbers on the abacus as well as addition and subtraction methods. We will guide you through Abacus and Mental Calculation methods for children aged 5 to 15 years old. Children develop concentration and attention span, visual thinking, photographic and auditory memory through mental counting.

Preparatory level (35 months)

Level 1 (57 months)

Level 2 (23 months)
Course curriculum

1
Introduction to Mental Arithmetic
 Intro
 About Abakus School
 What is Mental Arithmetic?
 FAQ

2
Abacus and Simple method
 Abacus and Numbers
 How to the use small abacus correctly
 Abakus and Numbers. Quiz
 4 Counting methods
 Explanation (1 digit number)
 Simple (1digit number)
 Explanation Simple Method (12 digit number)
 Simple (12 digit number)
 Explanation (2digit number)
 Simple (2digit number)

3
Mental Calculation. Visualization
 Visualization

4
Small Friend method (Onedigit number)
 Small Friend method. Intro
 Explanation SF +1 (1digit number)
 SF +1 (1digit number). Practice
 SF 1. (1digit number)
 SF +2 (1digit number)
 SF 2 (1digit number)
 SF +3 (1digit number)
 SF 3 (1digit number)
 SF +4 (1digit number)
 SF 4 (1digit number)
 Small Friend on small abacus

5
Small Friend method (Two digit numbers)
 Before we start
 Explanation SF +1 (1/2digit number)
 SF +1 (1/2digit numbers)
 Explanation SF 1 (1/2 digit number)
 SF 1 (1/2digit number)
 Explanation SF +2 (1/2digit number)
 SF +2 (1/2digit numbers)
 Explanation SF 2 (1/2digit number)
 SF 2 (1/2digit number)
 Explanation SF +3 (1/2digit number)
 SF +3 (1/2digit numbers)
 Explanation SF 3 (1/2digit number)
 SF 3 (1/2digit number)
 Explanation SF +4 (1/2digit number)
 SF +4 (1/2digit numbers)
 Explanation SF 4 (1/2digit number)
 SF 4 (1/2digit number)

6
Common mistakes in Small Friend method
 Common mistakes in SF

7
Mental Calculation. Two types
 Two types
 Mental Counting

8
Big Friend method (1digit numbers)
 Explanation BF +9 (1digit number)
 Practicing Big Friend Method
 Explanation BF 9 (1digit number)
 Explanation BF +8 (1digit number)
 Explanation BF 8 (1digit number)
 Explanation BF +7 (1digit number)
 Explanation BF 7 (1digit number)
 Explanation BF +6 (1digit number)
 Explanation BF 6 (1digit number)
 Explanation BF +5 (1digit number)
 Explanation BF 5 (1digit number)
 Explanation BF +4 (1digit number)
 Explanation BF 4 (1digit number)
 Explanation BF +3 (1digit number)
 Explanation BF 3 (1digit number)
 Explanation BF +2 (1digit number)
 Explanation BF 2 (1digit number)
 Explanation BF +1 (1digit number)
 Explanation BF 1 (1digit number)
 Why do we start with +9?

9
Skipped columns
 Skipped columns (Addition)
 Skipped columns (Subtraction)

10
Big Friend method (1/2 digit numbers)
 Explanation BF +9 (1/2 digit number)
 BF +9
 Explanation BF 9 (1/2digit number)
 BF 9
 Explanation BF +8 (1/2digit number)
 BF +8
 Explanation BF 8 (1/2digit number)
 BF 8
 Explanation BF +7 (1/2digit number)
 BF +7
 Explanation BF 7 (1/2digit number)
 BF 7
 Explanation BF +6 (1/2digit number)
 BF +6
 Explanation BF 6 (1/2digit number)
 BF 6
 Explanation BF +5 (1/2digit number)
 BF +5
 Explanation BF 5 (1/2digit number)
 BF 5
 Explanation BF +4 (1/2digit number)
 BF +4
 Explanation BF 4 (1/2digit number)
 BF 4
 Explanation BF +3 (1/2digit number)
 BF +3
 Explanation BF 3 (1/2digit number)
 BF 3
 Explanation BF +2 (1/2digit number)
 BF +2
 Explanation BF 2 (1/2digit number)
 BF 2
 Explanation BF +1 (1/2digit number)
 BF +1
 Explanation BF 1 (1/2digit number)
 BF 1

11
Common mistakes in Big Friend method
 Common mistakes in BF

12
Mixed method
 Mixed addition
 Mixed subtraction
 Explanation Mixed +6
 Mix +6
 Explanation Mixed 6
 Mix 6
 Explanation Mixed +7
 Mix + 7
 Explanation Mixed 7
 Mix 7
 Explanation Mixed +8
 Mix +8
 Explanation Mixed 8
 Mix 8
 Explanation Mixed +9
 Mix + 9
 Explanation Mixed 9
 Mix  9

13
All methods
 Explanation (all methods)
 All methods. Practice

14
Tools
 Consolidation exercise

15
Homework
 Homework