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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:
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| 7A |
Counting.
This level aims to thoroughly familiarize the student with numbers
through counting and tracing. |
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| 6A |
Reading
numbers. Level 6A enables the student to read numbers up to 30 and
broadens his/her understanding of the order of numbers. |
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| 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. |
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| 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. |
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| 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. |
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| 2A |
In this
level develops student’s skills in the addition and subtraction
of numbers up to 10. |
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| 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. |
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| 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. |
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| 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. |
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| 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. |
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| 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. |
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| 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. |
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| 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. |
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| 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. |
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| 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. |
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| J |
Expansion
of Polynomial Products and Factor Theorem |
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| K |
Quadratic
Functions, Fractional Functions, Irrational Functions,
Trigonometric Functions and Exponential Functions |
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| L |
Trigonometric
Theorems, Tangent Lines of Circles, Equations of Straight Lines,
Quadratic Curves |
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| M |
Arithmetic
Sequences, Differential and Integral Calculus |
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| N |
Surface
Vectors, Coordinates in Space, Equations of Lines and Planes,
Matrices |
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| O |
Infinite
Geometric Series, Limits of Functions, Differentiation,
Applications of Differential Calculus |
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| P |
Indefinite
Integrals, Definite Integrals and Differential Equations |
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| Q |
Permutations,
Combinations, Binomial Theorem, Statistics |
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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
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