18622 S. Route 59, Suite D1, Shorewood IL 60404 (815-267-8888)
KUMON MATH PROGRAM
The Math Program consists of 21 levels, numbered levels 7A through to level O. The Program begins with very basic number recognition, counting and writing, and progresses through addition, subtraction, multiplication, division and fractions. From there it goes to negative numbers, followed by algebra, factoring, functions, calculus and other university level topics.
University Math Curriculam at a glance
The main goal of the Math Program is to make high school and college math easy through mastery of core skills and developing self-learning ability. Each concept that is introduced builds on knowledge and skills learned from the previous concept. Thus it is vital that students fully master and understand one concept before going to the next.The levels are as follows:
|
Level
|
Aim
|
Sample
|
| 7A |
Level 7A aims for students to read and
recite up to ten and to recognise patterns of up to ten dots without
counting, eventually building the skills necessary for Level 6A.
|
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| 6A |
Level 6A aims for students to read and
recite up to 30, and to recognise patterns of up to twenty dots without
counting, eventually building the skills necessary for Level 5A.
|
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| 5A |
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 |
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.
|
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| 3A |
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.
|
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| 2A |
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 |
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.
|
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| B |
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.
|
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| C |
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.
|
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| D |
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 |
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.
|
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| F |
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 | 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-upto Level F. Level G is designed to prepare students for Level H. |
 |
| H |
Level H
aims to develop students's 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 |
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) factorisation, 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 |
Level J aims to develop the students'
ability to work with algebraic expressions, factorisation, irrational
numbers, quadratic equations, simultaneous equations and equations of
higher degree; thereby preparing students for Level K.
|
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| K |
Level K aims to develop the students'
ability to work with a variety of functions including quadratic,
fractional, irrational, exponential, logarithmic and trigonometric
functions.
|
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| L |
Level L aims to develop the students'
ability to work with trigonometric functions and equations of straight
lines, circles and quadratic curves.
|
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| M |
Level M aims to develop the students'
ability to work with sequences, differentation and integration.
|
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| N |
Level N aims to develop the students'
ability to work with vectors, matrices and mapping.
|
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| O |
Level O aims to develop the students'
ability to work with progressions, limits and differentiation.
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