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7A
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Students count up to 10 pictures and dots
individually and as a group. Mastery is gradual and the eventual
goal is for students to be able to say the total number of
objects in each group without counting. Number sequencing
is reinforced through the use of the Magnetic Number Board.
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6A
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Students count up to 30 using pictures
and numbers. Gradually, students learn to recognize groups
of up to 20 dots without counting them individually. Number
sequencing is reinforced through the use of the Magnetic Number
Board.
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5A
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Students learn to use a pencil through
line tracing exercises, beginning with short lines and advancing
to long curved lines. The curved lines gradually take the
shape of large numbers. This develops the fine motor skills
needed to trace and write numbers independently and teaches
the natural stroke order required for number formation. Students
also develop their concentration ability and learn to recite
numbers up to 50.
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4A
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Students learn to write numbers up to 120
independently. Students also work with patterns up to 20 dots.
By learning to recognize the numbers of dots in a group without
counting, students become better prepared for the addition
exercises in later levels. By the end of the Level, students
learn to count up to 220.
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3A
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Building on a strong sense of number sequencing
from Level 4A, students are introduced to addition in Level
3A. At first, students master + 1, +2, through +5 individually.
The last 20 sheets of this Level are dedicated to random addition
questions from + 1 to +5.
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2A
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In this Level, students learn to add through
to +10 automatically. This is also the Level where they learn
subtraction, subtracting up to -9 by the end. It is very important
that students master the contents of this Level for smooth
progress in subsequent levels. Level 2A greatly develops a
student's speed and concentration.
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A
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Level A continues horizontal addition and
subtraction but with larger numbers than in Level 2A. This
important level develops the mental calculation ability of
students. By the end of it, students will be able to add advanced
questions like +200 and subtract from numbers as big as 20.
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B
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This Level teaches vertical addition and
subtraction. Throughout it, students will encounter their
first word problems in Kumon. This Level draws on the advanced
mental calculation skills learned 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 in Levels C
and D.
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C
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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 one digit is introduced. Students who have developed good
mental calculation ability will not have to write division
steps.
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D
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Students learn double digits multiplication
before advancing to long division. In this challenging section,
students develop estimation skills that will be 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.
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E
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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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F
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Students continue calculations with fractions,
now employing the order of operations. Level F contains a
challenging section of word problems, as well as more work
with decimals.
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G
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Students are introduced to positive and
negative numbers, as well as to 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.
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H
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Students
will 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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I
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This level thoroughly reviews Levels G
and H and introduces factorization. Factorization is an essential
skill to advance to square roots and quadratic equations,
also covered in the level. The level concludes with advanced
topics in geometry, specifically related to the Pythagorean
Theorem.
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J
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Concepts learned through Level I are expanded
and reinforced. Students are introduced to irrational numbers
and advanced factoring methods.
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K
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Level K introduces students to types of
functions, such as exponential and trigonometric, and their
corresponding graphics, The skills developed here will ease
students in to the calculus exercises of Level M.
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L
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Level L marks the beginning of calculus.
Students begin by studying logarithmic functions, followed
by basic differentiation and definite and indefinite integration.
The level concludes with an analysis of applications of integration,
including areas, volumes, velocity and distance.
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M
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Level M marks the beginning of
the calculus levels. Students begin by studying series and
sequences and continue on to basic differentiation and definite
and indefinite integration. Level M concludes with an analysis
of the applications of integration.
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N
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Level N, students move beyond
basic calculus applications learned in Level M to topics in
vector analysis and linear algebra. To complete the level,
students study mappings and transformations.
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O
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Level O builds upon topics learned
in Level M and introduces students to a more advanced study
of series and sequences, limits and differentiation. Students
also experience the applications of differential calculus,
specifically with regard to minima and maxima.
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P
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In Level P, students conclude their
study of calculus by studying advanced integration (definite
and indefinite) and applications of integration. Students
are also introduced to differential equations.
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Q
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Level Q introduces students to the
study of probability and statistics. Students study combinations,
permutations, trials, binomial theorem, and distributions.
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