★Updated revised curriculum for 1st year of middle school in 2018★
We've summarized the core concepts of middle school mathematics from the current curriculum to the revised curriculum.
You can learn all middle school mathematics concepts and formulas for 1st year of middle school mathematics, 2nd year of middle school mathematics, and 3rd year of middle school mathematics at once. It's
organized by grade and semester, so you can use it for review, preview, and advance learning.
Review concepts one last time before midterms, finals, mock exams, and achievement assessments! Use it to organize your wrong answer notebook after the exam!!
The latest revised middle school mathematics formula book!! Download it now and use it for math studies!!
▶Current curriculum
[1st semester, 1st grade]
Ⅰ Properties of natural numbers
1. Factorization
Powers and prime
numbers Factorization of prime numbers
Greatest common divisor and least common multiple
Applications of greatest common divisor and least common multiple
Ⅱ Integers and rational numbers
1. Integers and rational numbers Relationship between
the size of numbers 2. Calculation of integers and rational numbers Addition and subtraction Multiplication Division Ⅲ Letters and expressions 1. Letters and expressions Expressions using letters Polynomials and linear equations Calculation of linear equations 2. Linear equations Equations and solutions Solving linear equations Applications of linear equations Ⅳ Functions 1. Functions and graphs Meaning and function values of functions Graphs of ordered pairs and coordinate functions Applications of functions Ⅴ Statistics 1. Frequency distribution and relative frequency Stem and leaf plot Frequency distribution table Histogram Frequency distribution polygon Relative frequency [1st semester, 2nd grade] Ⅰ Basics of shapes 1. Basic shapes Basic shapes Parallel lines 2. Positional relationship Two Positional relationship of straight lines Positional relationship of straight lines and planes Positional relationship of two planes 3. Construction and congruence Construction of basic figures Conditions for determining triangles Conditions for congruence of triangles II Plane figures 1. Polygons Interior and exterior angles of polygons 2. Circles and sectors Circles and sectors III Three-dimensional figures 1. Polyhedrons and solids of revolution Polyhedrons Solids of revolution 2. Surface areas and volumes of three-dimensional figures Surface areas and volumes of three-dimensional figures (1) Surface areas and volumes of three-dimensional figures (2) IV Appendix 1. Sets Meaning and expression of sets Inclusion relationship of sets Operations on sets Properties of operations on sets and number of elements 2. Decimal and binary system Decimal and binary system 3. Cumulative frequency Cumulative frequency [1st semester of 2nd grade] I Rational numbers and recurring decimals 1. Rational numbers and recurring decimals Rational numbers and recurring decimals Representing recurring decimals as fractions Relationship between the magnitude of recurring decimals II Calculation of expressions 1. Calculation of monomials Law of exponents Multiplication of monomials and Division 2. Calculation of polynomials Addition and subtraction of polynomials Multiplication and division of polynomials Multiplication formula Transformation of multiplication formula Transformation of equality Ⅲ Simultaneous equations 1. Simultaneous equations Simultaneous equations and their solutions Solving simultaneous equations Simultaneous equations with special solutions 2. Application of simultaneous equations Application of simultaneous equations Ⅳ Inequalities 1. Linear inequalities Solutions and properties of inequalities Solving linear inequalities Application of linear inequalities 2. Simultaneous linear inequalities
Solving simultaneous linear inequalities
Application of simultaneous linear inequalities
V Linear functions
1. Linear functions and their graphs
Linear functions and their graphs
Intercepts and slopes of the graphs of
linear functions Properties of the graphs of
linear functions Application of linear functions
2. Relationships between linear functions and linear equations
Linear equations and linear functions
Equations of straight lines
Solutions to simultaneous equations of the graphs of linear functions
[2nd semester, 2nd year]
I Probability
1. Number of cases
Events and cases
Various cases
2. Probability
Probability
Calculation of probability
II Properties of shapes
1. Properties of triangles
Properties of isosceles triangles
Congruent right triangles
Circumcenter of triangles
Incenter of triangles
2. Properties of quadrilaterals
Properties of parallelograms
Conditions for becoming a parallelogram
Various quadrilaterals
Parallel lines and areas
III Similarity of shapes
1. Similarity of shapes
Similarity of shapes
Conditions for similarity of triangles
2. Similarity of Utilization
Triangles and parallel
lines Angle bisectors of triangles Ratios
of lengths of line segments between parallel lines
Midpoint connection theorem
Center of gravity of triangle
Properties of similar figures Utilization
[3rd grade, 1st semester]
Ⅰ Real numbers and their calculations
1. Square roots and real
numbers Meaning and expression of square roots
Properties of square roots
Irrational numbers and real
numbers Real numbers and vertical lines
2. Calculation of expressions including
radicals Multiplication and division of
square roots Addition and subtraction of
square roots Approximation of square roots
Ⅱ Calculation of expressions
1. Factoring of polynomials Factoring
Factoring
formula Factoring
of complex expressions
Utilization of
factoring Ⅲ Quadratic equations
1. Solving quadratic equations
Quadratic equations and their
solutions Solving
quadratic equations using factoring Solving quadratic equations using perfect squares
2. Utilization of quadratic equations
Formula for roots of quadratic equations
Relationship between roots and coefficients
Utilization of quadratic equations
Ⅳ Quadratic functions
1. Quadratic functions and their graphs
Quadratic function and graph of y=ax Graph
of quadratic function y=a(xp)²+q
2. Application of quadratic function
Graph of quadratic function y=ax²+bx+c
Finding the equation
of the quadratic function Maximum and minimum values of the quadratic
function Application of quadratic function
[2nd semester, 3rd grade]
Ⅰ Statistics
1. Representative value and scatter
diagram
Representative value Scatter diagram
Mean, variance, and standard deviation of changed variables
Ⅱ Pythagorean theorem
1. Pythagorean theorem
Pythagorean
theorem Application of the Pythagorean theorem
2. Application of the Pythagorean theorem Application
in plane figures Application
in three -dimensional figures
Ⅲ Trigonometric ratios
1. Trigonometric
ratios
Trigonometric ratios of acute
angles 2. Application of trigonometric ratios
Finding length
Finding area
Ⅳ Properties of circles
1. Circle and straight line Chord
of a circle Tangent line of
a circle
2. Central angle
Central angle
Circle and square
Angle formed by tangent and chord
3. Circle and proportional
Circle and proportional
Secant and Tangent
▶2018 application 2015 revised curriculum
[1st grade, 1st semester]
Ⅰ Prime factorization
1. Prime factorization
Power and prime
factorization
2. Greatest common divisor and least common multiple
Greatest common divisor and least common multiple
Applications of greatest common divisor and least common multiple
Ⅱ Integers and rational numbers
1. Integers and rational numbers Relationship between
integers and rational numbers 2. Calculation of integers and rational numbers Addition and subtraction Multiplication Division Ⅲ Letters and expressions 1. Use of letters and calculation of expressions Use of letters and expressions Polynomials and linear equations Calculation of linear equations 2. Linear equations Equations and their solutions Solving linear equations Applications of linear equations Ⅳ Coordinate plane and graph 1. Coordinates and graphs Ordered pairs and coordinate graphs and their interpretation 2. Direct proportion and inverse proportion Direct proportion Inverse proportion Applications of direct proportion and inverse proportional relationships [1st grade, 2nd semester] Ⅰ Basic figures 1. Basic figures Basic figures Parallel lines 2. Positional relationship Positional relationship between two straight lines Positional relationship between a straight line and a plane Positional relationship between two planes 3. Construction and congruence Construction of basic figures Determinants of triangles Triangles Congruence Conditions II Plane Figures 1. Polygons Interior and exterior angles of polygons 2. Circles and sectors Circles and sectors Length and area of arcs of sectors III Three-dimensional Figures 1. Polyhedrons and solids of revolution Polyhedrons Solids of revolution 2. Surface area and volume of three-dimensional figures Surface area and volume of three-dimensional figures (1) Surface area and volume of three-dimensional figures (2) IV Statistics 1. Data organization and interpretation Stem and leaf plot Frequency distribution table Histogram Frequency distribution polygon Relative frequency ---- Developer contact: Mango Soft Lab Co., Ltd. 3rd floor, 301, 42 Songwon-ro 14beon-gil, Jangan-gu, Suwon-si, Gyeonggi-do, 16307, Republic of Korea 1248748863 No. 2017-Suwon Jangan-0397 Jangan-gu Office, Suwon-si
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