Kumon Math Program
Kumon's founder was a math teacher, and the original study plan he developed was in mathematics. While that program has evolved considerably, Kumon Math remains our most widely attended and recognized program.
Kumon Math is a comprehensive program that develops the necessary skills to help a child progress from counting to calculus.
Often children have trouble simplifying fractional expressions in algebra because they have not mastered basic calculations. The Kumon Method develops proficiency at every level, so Kumon students build the solid foundation they need to advance more successfully and confidently through their school's math curriculum.
The ease with which Kumon students routinely learn to perform basic operations and solve problems is perhaps the most dramatic testament to the effectiveness of the Kumon Method.
Math Curriculum Levels
Click on a level for additional information.
| 7A | 6A | 5A | 4A | 3A | 2A | A | B | C | D | E |
| F | G | H | I | J | K | L | M | N | O | X |
7A: Counting up to 10
Students count up to 10 pictures and dots individually and as a group. Mastery is gradual and the eventual goal is for students to be able to say the total number of objects in each group without counting. Number sequencing is reinforced through the use of the Magnetic Number Board.
6A: Counting up to 30
Students count up to 30 using pictures and numbers. Gradually, students learn to recognize groups of up to 20 dots without counting them individually. Number sequencing is reinforced through the use of the Magnetic Number Board.
5A: Line drawing, number puzzles to 50
Students learn to use a pencil through line tracing exercises, beginning with short lines and advancing to long curved lines. The curved lines gradually take the shape of large numbers. This develops the fine motor skills needed to trace and write numbers independently and teaches the natural stroke order required for number formation. Students also develop their concentration ability and learn to recite numbers up to 50.
4A: Reciting & writing numbers to 220
Students learn to write numbers up to 120 independently. Students also work with patterns of up to 20 dots. By learning to recognize the numbers of dots in a group without counting, students become better prepared for the addition exercises in later levels. Students eventually learn to count up to 220.
3A: Adding up to 5
Building on a strong sense of number sequencing, students are introduced to addition. At first, students master + 1, + 2, through + 5 individually. Then, students are challenged by random addition questions from + 1 to + 5.
2A: Adding up to 10, subtracting from numbers up to 9
Students learn to add through to + 10 automatically. Students also learn subtraction, subtracting up to - 9 by the end. Mastering these skills is very important for smooth progress in the future. The student’s speed and concentration are also developed.
A: Horizontal addition, subtraction of larger numbers
Students learn horizontal addition and subtraction with larger numbers. Students develop mental calculation ability, and eventually can add advanced questions like + 200 and subtract from numbers as large as 20.
B: Vertical addition & subtraction
Students learn vertical addition and subtraction, and encounter word problems. Students build advanced mental calculation skills as they "carry" in addition questions and "borrow" in questions involving subtraction. Understanding and mastering these concepts reduces errors in the future with multiplication
C: Multiplication & division
Students master the multiplication tables by practicing until they can answer immediately. Next, students learn up to 4-digit by 1-digit multiplication with mental carryovers. Once multiplication is mastered, simple division by one digit is introduced. Students who have developed good mental calculation ability will not have to write division steps.
D: Long division, introduction to fractions
Students learn double-digit multiplication before advancing to long division. Students also develop estimation skills that will be necessary for future fraction work. Once students' ability to work with all 4 arithmetic operations is confirmed, they begin to study fractions, learning to reduce using the greatest common factor.
E: Fractions
Students learn to add, subtract, multiply, and divide fractions. Proper intermediate steps are emphasized. Students learn basic fraction/decimal conversions.
F: Four operations, decimals
Students continue calculations with fractions, now employing the order of operations. Students work through a challenging section of word problems, as well as continuing to work with decimals.
G: Positive/negative numbers, introduction to algebra
Students are introduced to positive and negative numbers, as well as to basic algebra. Students use their previously learned four operations skills to master linear equations. Students also are challenged by a word problem set.
H: Linear equations, inequalities & graphing
Students learn to solve simultaneous linear equations in two to four variables. Concepts of numerical and algebraic value are strengthened. Students are introduced to transforming equations, inequalities, functions and graphs.
I: Factorization, square roots, quadratic equations
Students are introduced to factorization. Factorization is an essential skill to advance to the next skill of understanding square roots and quadratic equations. Finally, students begin advanced topics in geometry, specifically related to the Pythagorean Theorem.
J: Advanced algebra
Students are introduced to advanced factoring methods, complex numbers, the discriminant, and the factor and remainder theorems. Students conduct proofs of algebraic equalities and inequalities.
K: Functions - quadratic, fractional, irrational, exponential
After a thorough study of quadratic functions, students are introduced to various types of functions including higher degree, fractional, irrational, and exponential, and their corresponding graphs. The skills developed here will help ease students into calculus.
L: Logarithms, calculus
Students begin calculus by studying logarithmic functions, followed by basic differentiation and definite and indefinite integration. Students continue with an analysis of applications of integration, including areas, volumes, velocity and distance.
M: Trigonometry, Addition Theorem, circles
Students begin by studying the basics of trigonometric functions, followed by graphing trigonometric functions. Students also learn and use the formulas of the Addition Theorem. Finally, students study straight lines and circles.
N: Loci, sequences & series, limits, differentiation
Students continue studying shapes through learning loci. Students are then introduced to sequences and series. Students continue by studying limits and their relationship to differentiation.
O: Advanced differentiation, integration, differential equations
Students continue studying advanced differentiation and the applications of differential calculus. They continue calculus by studying advanced integration and applications of integration. Students are also introduced to differential equations.
XT, XV and XM: Triangles, vectors, matrices
In this elective course, students explore new topics. They encounter the advanced calculus topic of vector analysis in XV. Students study matrices, mappings and transformations in XM.
XP and XS: Probability, statistics
Students begin studying probability and statistics in XP and XS, where they study combinations, permutations, trials, the Binomial Theorem, and distributions.