The Kumon worksheets were made and are constantly revised over 45 years by our International Materials Development and Instruction Department in Japan in order to accomplish this goal. These materials are designed so students reach highschool level mathematics smoothly and improve their reading comprehension with the least amount of waste. Thus, only the most essential amount and type of problems are selected. The selected problems are then placed in order that will make learning the easiest and most effective for children.

Currently, with over 4.12 million Kumon students worldwide, Kumon is becoming widely associated with Math and language instructions. Kumon´s multi-subject offering reflects the importance on a firm foundation in the two most fundamental areas of education: Math and Reading.


Mathematics Program


The Kumon Math Program has 23 levels, with 20 units in each level. It begins with basic counting to reading numbers. It proceeds to the 4 fundamental operations (addition, subtraction, multiplication and division), then elevates to Algebra & Trigonometry. It then graduates to higher Mathematics, such as Calculus, Statistics & Probabilities, thus following a logical sequence.

The worksheets contain mostly computational problems. As students study higher levels of Mathematics, the percentage of calculations, both in school curriculum and textbooks, increases. That is why, the worksheets will focus on developing the students´ computational skills. The ability to calculate develops the ability to think and lead the way to creativity.

The main material of the program is the worksheets. The worksheets were designed in minute steps to facilitate self-learning. Whenever there are new lessons presented, examples are provided to help students comprehend the concepts behind the exercises.
  1. Goal of the Kumon Math Program: For students to master high school Mathematics easily, by self-learning, even before reaching high school.
  2. The Structure of the Kumon Math Program:
Level
Aim
Sample
7A
Counting Numbers.
Level 7A aims for students to read and recite up to ten and to recognize patterns of up to ten dots without counting, eventually building the skills necessary for Level 6A.
6A
Reading Numbers. 
Level 6A aims for students to read and recite up to 30, and to recognize patterns of up to twenty dots without counting, eventually building the skills necessary for Level 5A.
5A

Exercises in Line Drawing and Number Writing.
Level 5A aims for students to
1) improve their writing skills by developing the following: the skill of applying the correct pressure when writing, writing ability, work skills and concentration power;
2) become proficient at reciting up to 30 as they are drawing the lines in the number puzzles.

4A
Exercises with Numerals, Set Recognition.
Level 4A aims for students to learn number writing, dot counting, the sequence of numbers from 1 to 220 (and how to write numbers up to 120) and to further develop their work skills and sense to numbers. This prepares students for Level 3A. Students should also be able to recite up to 220 by the end of Level 4A.
3A
Introduction to Addition. 
Students developed reciting and number-writing skills in Level 4A. Level 3A aims for students to use these skills to master adding 1 through adding 5.
2A
Elementary Addition and Subtraction.
Students developed adding skills in Level 3A. Level 2A aims for students to use these skills to master adding 6 through adding 10. Subsequently, students study basic subtraction from numbers up to 10. This develops the mental calculation skills necessary for smooth progress in the addition and subtraction exercises of Level A.
A
Addition and Subtraction I. Students acquired mental addition and subtraction skills in Level 2A. Level A aims for students to use these skills to improve their mental addition and subtraction skills to the point where they can produce instant answers. This prepares them for the written calculations in Level B.
B
Addition and Subtraction II.
The students' mental addition and subtraction abilities improved in Level A. Level B aims for students to use these abilities to acquire skills in vertical addition and subtraction needed for Level C.
C
Multiplication Tables, Elementary Multiplication and Division. Students developed their addition and subtraction abilities in Level B. Level C aims for students to use these abilities to acquire the fundamental multiplication and division skills that will enable them to proceed smoothly through Level D.
D
Multiplication and Division, Introduction to Fractions.
Level D aims for students
to
1) further develop the multiplication and division skills they acquired in Level C.

2) learn to divide by 2-digit numbers, and
3) become familiar with fractions in order to gain the skills necessary for smooth progress in Level E.

E
Fractions and Decimals.  
Level E aims for students to acquire the ability to perform the four operations with fractions by using their previously developed four-operation and reduction skills in order to gain the skills necessary for smooth progress in Level F.
F
Fractions, Decimals and Order of Operations. 
Level F aims to further develop the computational skills with fractions acquired in Level E to smoothly calculate the mixed four operations in order to consolidate the general arithmetical skills necessary for studying Level G, which introduces algebra.
G
Positive and Negative Numbers, Elementary Algebraic Expressions.
Level G aims to develop students' skills in working with introductory algebra, e.g.

1) operations with positive and negative numbers.
2) simplifying algebraic expressions and
3) solving linear equations in one variable, based on the arithmetic skills that students developed-especially in calculating with fractions up to Level F. Level G is designed to prepare students for Level H.
H
Simultaneous Linear Equations with 2, 3, or 4 Variables Linear Functions. 
Level H aims to develop students' algebraic skills acquired in Level G so that they can operate algebraic expressions and solve equations far more smoothly by learning
1) literal equations and simultaneous linear equations in two to four variables,
2) inequalities,
3) linear functions, and
4) operations with monomials and polynomials.
This level is designed to prepare students for Level I.
I
Factorization and Quadratic Equations. 
Level I aims for students to further develop their algebraic skills gained up to Level H to master operations mainly with quadratic polynomials, equations and functions, e.g.
1) multiplication of polynomials,
2) factorization,
3) calculation with square roots,
4) quadratic equations,
5) quadratic functions, and
6) the Pythagorean theorem.
This level is designed to prepare students for Level J.
J
Advanced Factorization and Quadratic Equations.
Level J aims to develop the students' ability to work with algebraic expressions, factorization, irrational numbers, quadratic equations, the remainder theorem, the factor theorem, and the proof of identities and inequalities, in preparation for higher-level math studies.
K
Quadratic, Fractional, Irrational, Exponential, Logarithm, Trigonometric Functions.
Level K aims to develop the students' ability to work with a variety of functions including quadratic, fractional, irrational, exponential, logarithmic and trigonometric functions.
L
Trigonometric Functions, Plane Geometry.
Level L aims to develop the students' ability to work with trigonometric functions and equations of straight lines, circles and quadratic curves.
M
Progressive Series, Differential and Integral Calculus. 
Level M aims to develop the students' ability to work with sequences, differentiation and integration.
N
Vectors in Space, Matrices, Linear Transformations.
 Level N aims to develop the students' ability to work with vectors, matrices and mapping.
O
Extrema, Differential Calculus. 
Level O aims to develop the students' ability to work with progressions, limits and differentiation.
P
Integrals, Differential Calculus. 
Level P aims to develop the students' ability to work with integration.
Q
Permutations, Combinations, Probability, Statistics. 
Level Q aims to develop the students' ability to work with permutations, combinations, probability and statistics (including distribution, estimation and hypothesis testing).