# Math Program

From counting to calculus and beyond, the Kumon Math Worksheets enable students to progress all the way up through high school-level math.

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Watch Emily’s progression through the Kumon Math Program.

### Topics Covered:

• Counting and Number Sequencing
• Multiplication and Division
• Fractions
• Order of Operations
• Positive and Negative Numbers
• Solving Equations
• Graphing
• Trigonometry
• Calculus
• Probability and Statistics

## Benefits of the Kumon Math Program

Kumon’s assignments progress in small steps to build all of the critical skills needed to study high school-level calculus. Each worksheet not only covers specific concepts, but also helps students develop mental calculation and reasoning skills and improve their problem-solving techniques.

### The Kumon Math Program:

• Gives students a solid foundation and a head start.
• Helps improve performance in math class.
• Increases your child’s overall math comprehension.
• Prepares your child for the rigors of high school and advanced mathematics.

## Kumon Math Worksheets

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Level 6A

### Counting to 10, Reading Numbers

Students become familiar with numbers up to 10 by counting pictures or dots and reading numbers. They should be able to read and easily recite numbers up to 10 and recognize the number of pictures or dots by counting.

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Level 5A

### Reading Numbers to 50, Sequence of Numbers

Students read numbers and number tables up to 50 by counting pictures or dots, reading numbers or number tables, and finding the missing numbers in number tables. They should be able to easily recite numbers up to 50 and become familiar with numbers up to 100.

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Level 4A

### Reading Numbers, Writing Numbers to 50

Students deepen their understanding of the number sequence through number reading and writing exercises in number tables, number boards, and complete-the-sequence problems. By the end of the level, students learn to write numbers up to 50 and read numbers up to 100.

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Level 3A

### Writing Numbers to 120, Adding up to 3

Students continue to enhance their understanding of the sequence of numbers as well as the number-writing skills that they developed in the previous level. Being introduced to addition, students master +1, +2, through to +3 individually. Students are challenged to answer random addition questions from +1 to +3.

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Level 2A

Students further develop basic mental calculation skills in addition through a sequential study of adding 4 through adding 10. Students should master the contents of this level for smooth progress in subsequent levels. This level aims to develop the concentration ability and work skills necessary for higher level study.

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Level A

### Horizontal Addition, Subtraction from Numbers up to 20

Students study horizontal addition with larger numbers. Their addition skills will be strengthened before advancing to the horizontal subtraction exercises of this level. This level aims to develop mental calculations, while improving students’ concentration ability and their work skills.

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Level B

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 and division.

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Level C

### Multiplication, Division

Students study the multiplication tables up to 9. They continue by solving exercises up to 3 or more digits multiplied by 1 digit. Once multiplication is mastered, students begin studying division up to 3 digits divided by 1 digit.

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Level D

### Long Multiplication & Division, Introduction to Fractions

Students further develop the multiplication and division skills they acquired in the previous level by studying double-digit multiplication and long division. Students also become familiar with fractions and learn to reduce using the Greatest Common Factor.

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Level E

### Fractions

Students learn to add, subtract, multiply, and divide fractions. Students also learn basic fraction/decimal conversions.

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Level F

### Four Operations, Decimals

Students use the order of operations to continue performing calculations with fractions and decimals.

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Level G

### Positive/Negative Numbers, Introduction to Algebra

Students use the four operations on positive and negative numbers, simplify algebraic expressions, and solve linear equations in one variable.

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Level 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.

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Level I

### Quadratic Equations, Factorization, Square Roots

Students further develop their algebraic skills through the study of quadratic equations, the multiplication of polynomials, factorization, calculation with square roots, and the Pythagorean Theorem.

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Level J

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.

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Level K

After a thorough study of quadratic functions, students are introduced to various types of functions and their corresponding graphs. These functions include higher degree, fractional, irrational, and exponential. The skills developed here will help ease students into studying calculus.

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Level L

### Logarithms, Calculus

Students begin by studying logarithmic functions. Then, students are led into the beginning of calculus, studying basic differentiation and integration. Students continue with an analysis of the applications of integration, including areas, volumes, velocity and distance.

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Level M

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 the equations of straight lines, circles, and tangent lines of circles.

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Level N

### Loci, Sequences and Series, Limits, Differentiation

Students begin by studying loci and quadratic inequalities. They then study arithmetic, geometric, infinite and other various types of sequences and series. Students continue by studying limits of functions and continuity and the basics of differentiation.

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Level O

### Advanced Differentiation, Integration, Differential Equations

Students study advanced differentiation and applications of differential calculus. They continue with an in-depth study of advanced integration and its applications. Finally, students study differential equations.

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Level X

### Triangles, Vectors, Matrices, Probability, Statistics

Students can choose to study elective topics from triangles, vectors, matrices, mapping and transformations, probability and statistics.

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## Level X: Triangles, Vectors, Matrices, Probability, Statistics

The Kumon Worksheets are designed to guide students to figure out new concepts on their own by following examples and developing their self-learning ability from the start. Students advance at their own pace and develop strong skills, better study habits, and confidence that can help in the classroom and beyond.

Students do daily assignments that take about 30 minutes per subject, at the Kumon Center and at home, leaving plenty of time for extracurricular activities.