MATH PROGRAM           

 


The aim of the Math program is to prepare students so that they can excel in Mathematics.

The lower level Kumon worksheets are designed to build mastery of the four operations, which are the basics of Mathematics.

Students with a mastery of addition, subtraction, multiplication and division can easily learn more complex operations such as long division, fractions, equation solving and factorization.

Students who are struggling with Math are most often those with poor foundation skills. Kumon’s programs are structured in a linear fashion to ensure that students master one concept before moving onto the next. Kumon students are able to progress based on an assessment of their own needs and skills. This is one of the major differences between Kumon and school-based learning.

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 four 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. It is suitable for preschool children through to senior high school students.

The main material of the program is the worksheets. The worksheets were designed in minute steps to facilitate self-learning. 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. Whenever there are new lessons presented, examples are provided to help students comprehend the concepts behind the exercises.

The Goal of the Kumon Math Program - is for students to master high school Mathematics easily, by self-learning, even before reaching high school.

The Structure of the Kumon Math Program:

7A Counting. This level aims to thoroughly familiarize the student with numbers through counting and tracing.
6A Reading numbers. Level 6A enables the student to read numbers up to 30 and broadens his/her understanding of the order of numbers.
5A Drawing Lines, Reading Numbers, Reciting Numbers. Level 5A enables students to read numbers up to 40 and recite numbers up to 50. Upon completion of this level, students will also be able to demonstrate pencil control when drawing lines.
4A Writing Numbers. Level 4A develops the students' ability to see the sequence of numbers from 1-220. This level also enables the student to write numbers in the correct way and is helpful for learning addition.
3A The aim of level 3A is to enhance the students' number writing skills and to introduce the mental addition of numbers from 1 to 5.
2A In this level develops student’s skills in the addition and subtraction of numbers up to 10.
A Level A focuses on the development of mental addition skills. The student’s ability to mentally calculate, will be used in each area of Math in the future.
B The aim of Level B is for students to develop skills in written addition and subtraction using the mental calculation skills learned throughout Levels 3A-A.
C Multiplication and Division. Level C enables students to memorize the 2-9 multiplication tables, multiply by 1 digit numbers and divide by 1 digit numbers and find the remainders.
D Division by 2- Digit Numbers and Introduction to Fractions. This level enables students to perform long multiplication and long division, rewrite improper fractions as mixed numbers and reduce fractions.
E The Basics on Calculating Fractions. Level E enables students to add, subtract, multiply and divide fractions and decimals. When students complete this level they will be able to rewrite fractions as decimals and vice versa.
F Mixed Four Operations With Fractions and Decimals. Level F concludes the study of arithmetic and acts as a springboard to algebra. This level enables students to - calculate a mixture of the four operations with fractions and decimals; - calculate the four operations with decimals including vertical calculation; - solve word problems using the concept of fractions.
G Level G introduces students to basic algebra. Upon completion of this level, students will be able to calculate positive and negative numbers, simplify basic algebraic equations and solve one variable linear equations.
H Simultaneous Linear Equations and Functions. Level H enables students to - solve simultaneous linear equations; - work with linear functions on the number plane; - simplify monomials and polynomials.
I Factorization, Square Roots and Quadratic Equations. Level I will help students develop higher mathematical skills. When students finish this level, they will be able to - factorize polynomials; - calculate with square roots; - solve quadratic equations; - work with linear functions on the number plane; - use the Pythagorean theorem.
J Expansion of Polynomial Products and Factor Theorem
K Quadratic Functions, Fractional Functions, Irrational Functions, Trigonometric Functions and Exponential Functions
L Trigonometric Theorems, Tangent Lines of Circles, Equations of Straight Lines, Quadratic Curves
M Arithmetic Sequences, Differential and Integral Calculus
N Surface Vectors, Coordinates in Space, Equations of Lines and Planes, Matrices
O Infinite Geometric Series, Limits of Functions, Differentiation, Applications of Differential Calculus
P Indefinite Integrals, Definite Integrals and Differential Equations
Q Permutations, Combinations, Binomial Theorem, Statistics

Supplementary Materials:

  • Magnetic Number Board - to develop and to enhance the student's number concept and relationship. It also improves eye-hand coordination.
  • Flash Cards (Number of Dots, Addition) - to develop mental calculation in order to produce instantaneous answers
  • Multiplication Table Cards - to memorize and be familiar with numbers' factors and products.
  • Number Writing Practice Sheets - to develop pencil-control skills and number sequence