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A Complete Guide to Secondary Math Concepts (for 2026)
A Complete Guide to Secondary Math Concepts (for 2026)
Description
Book Introduction
By thoroughly understanding and organizing the entire secondary mathematics curriculum by area through 『Summary of Secondary Mathematics Concepts』, you can solidify the fundamentals of higher mathematics.
This is an essential textbook for students studying middle school mathematics and those who will study higher education mathematics in the future, as it organizes the essential concepts of the entire middle school mathematics curriculum by field, allowing for an accurate understanding of the mathematical system.
When you have difficulty with a specific area or concept, you can study related concepts all at once, eliminating the hassle of studying them piecemeal by grade level.
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index
Ⅰ Numbers and Operations
01 Prime and composite numbers
02 Factorization
03 Greatest common divisor
04 Least common multiple
05 Integers and rational numbers
06 Arithmetic operations for rational numbers
07 Representation of decimal numbers as rational numbers
08 Fractional representation of recurring decimals
09 Meaning and properties of square roots
10 Irrational Numbers and Real Numbers
Multiplication and division of square roots of 11
Addition and subtraction of square roots of 12

Ⅱ Letters and Expressions
01 Use of characters and values ​​of expressions
02 Calculation of primary equations
03 Equations and their solutions
04 Solving linear equations
05 Application of linear equations
06 Multiplication and division of monomials
07 Calculating polynomials
08 Inequality
09 Solving linear inequalities
Application of 10-day inequalities
11 Systems of linear equations and their solutions
12 Solving various simultaneous linear equations
13 Applications of simultaneous linear equations
14 Multiplication Formulas
15 Factorization
16 Applications of the Factorization Formula
17 Solving Quadratic Equations ⑴
18 Solving Quadratic Equations ⑵
19 Applications of Quadratic Equations

Ⅲ Function
01 Coordinate plane and graph
02 Proportionality and Inverse Proportion
03 Application of proportional and inverse relationships
04 Meaning of functions and linear functions
05 Linear Functions and Graphs ⑴
06 Linear Functions and Graphs ⑵
07 Application of linear functions
08 Linear functions and linear equations
09 Solutions and graphs of simultaneous equations
10 Graph of a quadratic function
11 Graph of a quadratic function
12 Graph of a quadratic function
13 Applications of Quadratic Functions

Ⅳ Geometry
01 Point, line, surface
02 each
03 Positional Relationship
04 Properties and construction of parallel lines
05 Construction of triangles
06 Congruence conditions of triangles
07 Polygon
08 Circles and sectors
09 Polyhedron
10 Rotor
11 Surface area and volume of solid figures
12 Properties of Triangles
13 Circumcenter and incenter of a triangle
14 Properties of parallelograms
15 Properties of rectangles, rhombuses, and squares
16 Relationships between various quadrilaterals
17 Similarity of triangles
18 Ratio of the lengths of line segments between parallel lines
19 A line segment connecting the midpoints of two sides in a shape
20 Application of the Center of Gravity and Similarity of Triangles
21 Pythagorean theorem
22 Pythagorean theorem and shapes
23 Trigonometric functions
24 Applications of Trigonometry
25 won current
26 Tangent to a circle
27 central angle
28 Application of the central angle

V Probability and Statistics
01 Stem and leaf plot, frequency distribution table
02 Histogram and frequency distribution polygon
03 Relative frequency and graph
04 Cases
05 Meaning and calculation of probability
06 Various probabilities
07 Representative values ​​and scatter plots
08 Correlation

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Publisher's Review
A comprehensive compilation of essential concepts for the entire secondary mathematics curriculum, perfectly reflecting the 2015 revised curriculum!

(1) 5 areas of essential concepts for the entire mathematics curriculum from the 1st to 3rd grade of middle school
Compressed and organized by (numbers and operations / letters and expressions / functions / geometry / probability and statistics)
(2) Complete the concepts of secondary mathematics, which form the basis of higher mathematics, in just 37 days.
(3) Presentation of key problems to enhance conceptual understanding and application skills.

1.
Essential concept summary + concept charging problems
The entire secondary mathematics curriculum is categorized by area and topic, and essential concepts are organized.
Additionally, after learning the concept, we provide easy basic problems to check whether you have properly understood the concept.


2.
Concept Completion Test
We have presented problems that represent the concept so that you can apply the concept to solve real-world problems.
You will be able to build your confidence in math by solving easy level problems.


3.
Summary of concepts by area
You can diagnose your skills and finalize your work through problems compressed by area.


4.
Middle and high school connection problems
We have designed real-world academic assessment problems that extend the connection between middle school mathematics and high school mathematics, allowing students to directly experience the connection between middle school and high school mathematics.
GOODS SPECIFICS
- Date of issue: July 10, 2019
- Page count, weight, size: 448 pages | 215*297mm
- ISBN13: 9791162401620
- ISBN10: 1162401621

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