# Kumon Math Levels

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### Text of Kumon Math Levels

• Level Samples Highlights

6A6A 1a 6A 55b 6A 149a

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.

5A5A 11a 5A 113a 5A 183a

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.

4A4A 40a 4A 79a 4A 191b

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

3A3A 69b 3A 74a 3A 195a

Students continue to enhance their understanding of the sequence of numbers as well as the number-writing skills they developed in Level 4A. Students are introduced to addition in Level 3A. At first, they master +1, +2, through +3 individually. The last 20 sheets of this level are dedicated to addition questions from +1 to +3.

2A2A 31a 2A 78b 2A 200b

In this level, students further develop basic mental calculation in addition by a sequential study of adding 4 through adding 10. It is very important that students master the contents of this level for smooth progress in subsequent levels. Level 2A aims to develop the concentration and work skills necessary for Level A.

AA 68a A 81a A 191a

Level A continues horizontal addition with larger numbers. Mastering addition ensures a smooth introduction to subtraction in this level. Level A aims to develop mental calculations while strengthening students concentration ability and work skills.

BB 80b B 187a B 199a

This level introduces vertical addition and subtraction. In Level B, students encounter their first word problems in Kumon. The level draws on the advanced mental calculation skills developed in previous levels when students carry in addition questions and borrow in questions involving subtraction. Mastery of Level B greatly reduces errors in multiplication and division learned in Levels C and D.

CC 32a C 121a C 200b

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 1-digit numbers is introduced. Students who have developed good mental calculation will not have to write division steps.

DD 11b D 128b D 166a

Students learn double-digit multiplication before advancing to long division. In this challenging section, students develop estimation skills 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.

EE 131a E 179b E 196a

In Level E, students learn to add, subtract, multiply and divide fractions. Proper intermediate steps are emphasized. At the end of the level, students learn basic fraction/decimal conversions.

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DESCRIPTION OF STUDY LEVELS MATH

2014 Kumon Institute of Education DSLM 1405 Reproduction in any format is strictly prohibited.

• Level Samples Highlights

FF 108a F 165b F 187b

Students continue calculations with fractions, now using the order of operations. Level F contains a challenging section of word problems, as well as more work with decimals.

F 151b

GG 21a G 80b G 162a

Students are introduced to positive and negative numbers and basic algebra. Students use their previously-learned four operations skills to master linear equations. A word problem set rounds off the level, allowing students to apply everything they have learned in Level G.

HH 28a H 76b H 124b

Students learn to solve simultaneous linear equations in two to four variables. Concepts of numerical and algebraic value are strengthened. Students are also introduced to transforming equations, inequalities, functions and graphs.

II 37a I 99b I 134a

Level I thoroughly reviews Levels G and H and introduces factorization. Factorization is an essential skill to advance to square roots and quadratic equations, which are also covered in the level. Level I concludes with advanced topics in geometry specifically related to the Pythagorean Theorem.

JJ 30a J 115b J 166b

Concepts learned through Level I are expanded and reinforced in Level J. Students are introduced to advanced factoring methods, complex numbers, the discriminant, and the Factor and Remainder theorems. At the end of Level J, students conduct proofs of algebraic equalities and inequalities.

J 196b

KK 43b K 138a K 183a

Students acquire the basic properties of functions through a thorough study of quadratic functions. Level K introduces higher degree, fractional, irrational and exponential functions, and their corresponding graphs. The skills developed here will ease students into the calculus exercises of Level L.

LL 14a L 42a L 83b

Students begin Level L by studying logarithmic functions and are introduced to calculus. Students study basic differentiation, and definite and indefinite integrals. The level concludes with an analysis of the applications of integration, including areas, volumes, velocity and distance.

L 145a

MM 22a M 73a M 125a

In Level M, students begin by studying the basics of trigonometric functions, graphs and inequalities. Then they are introduced to more advanced trigonometric topics, including the Addition Theorem. At the end of Level M, students study analytic geometry.

M 198b

NN 6a N 35a N 157a

Students begin Level N by studying loci and quadratic inequalities. Arithmetic, geometric, infinite and other various types of sequences and series follow. The level concludes with the topics of limits of functions and continuity, and the basics of differentiation.

N 123a N 189a

OO 13a O 154a O 165a

Concepts learned through Level N are expanded and reinforced. Students first study advanced differentiation and applications of differential calculus, then continue with an in-depth study of advanced integration and its applications. The level concludes with differential equations.

O 102a

XIn Level X, students can choose to study elective topics: triangles, vectors, matrices, mapping and transformations, probability and statistics.

XV 67a XM 32a XP 30a XS 26a

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