Kumon Math Levels

#Level ® DESCRIPTION OF STUDY LEVELS – MATH Samples 6A 1a 6A 55b Highlights 6A 149a 6A 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. 5A 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. 5A 4A 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. 4A 3A 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. 3A 2A 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. 2A A 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. A B 80b B 187a B 199a C 32a C 121a C 200b B 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. 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. C D 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. D E 131a E © 2014 Kumon Institute of Education 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. DSLM 1405 Reproduction in any format is strictly prohibited. the discriminant. O 102a In Level X. volumes. and their corresponding graphs. Arithmetic. . At the end of Level M. I J 30a J 115b J 166b J J 196b K 43b K 138a K 183a Students acquire the basic properties of functions through a thorough study of quadratic functions. The level concludes with the topics of limits of functions and continuity. students can choose to study elective topics: triangles. matrices. and the basics of differentiation. X © 2014 Kumon Institute of Education XV 67a XM 32a XP 30a XS 26a DSLM 1405 Reproduction in any format is strictly prohibited. infinite and other various types of sequences and series follow. and the Factor and Remainder theorems. F 151b G 21a G 80b G 162a Students are introduced to positive and negative numbers and basic algebra. Level F contains a challenging section of word problems. vectors. Students use their previously-learned four operations skills to master linear equations. Students first study advanced differentiation and applications of differential calculus. Level K introduces higher degree. graphs and inequalities. Level I concludes with advanced topics in geometry specifically related to the Pythagorean Theorem. Then they are introduced to more advanced trigonometric topics.Level Samples F 108a F Highlights F 165b F 187b Students continue calculations with fractions. The skills developed here will ease students into the calculus exercises of Level L. A word problem set rounds off the level. as well as more work with decimals. geometric. probability and statistics. then continue with an in-depth study of advanced integration and its applications. students begin by studying the basics of trigonometric functions. Concepts of numerical and algebraic value are strengthened. complex numbers. students conduct proofs of algebraic equalities and inequalities. The level concludes with differential equations. Factorization is an essential skill to advance to square roots and quadratic equations. mapping and transformations. which are also covered in the level. including the Addition Theorem. The level concludes with an analysis of the applications of integration. I 37a I 99b I 134a Level I thoroughly reviews Levels G and H and introduces factorization. K L 14a L 42a L 83b L L 145a M 22a M 73a M 198b N 6a N 35a N O 13a Students begin Level L by studying logarithmic functions and are introduced to calculus. fractional. now using the order of operations. functions and graphs. and definite and indefinite integrals. Students are also introduced to transforming equations. At the end of Level J. In Level M. students study analytic geometry. irrational and exponential functions. G H 28a H 76b H 124b H Students learn to solve simultaneous linear equations in two to four variables. inequalities. allowing students to apply everything they have learned in Level G. N 157a N 123a N 189a O 154a O 165a Students begin Level N by studying loci and quadratic inequalities. Students study basic differentiation. including areas. Concepts learned through Level N are expanded and reinforced. Students are introduced to advanced factoring methods. M 125a M O Concepts learned through Level I are expanded and reinforced in Level J. velocity and distance.