· A complete summary of functions for first-year middle school students

Theme 01.
Ordered pairs and coordinate plane
Theme 02.
coordinate
Theme 03.
quadrant
Theme 04.
Symmetric and translational translation of points
Theme 05.
Graph of a function
Theme 06.
Direct proportion
Theme 07.
Graph of the function y=ax
Theme 08.
Properties of the graph of the function y=ax (1)
Theme 09.
Properties of the graph of the function y=ax (2)
Theme 10.
slope of the straight line y=ax
Theme 11.
Slope of the straight line y=ax passing through two points
Theme 12.
A straight line parallel to the x-axis and y-axis
Theme 13.
Maximum and minimum values ​​of the function y=ax
Theme 14.
Inverse proportion
Theme 15.
Graph of the function y=a/x

· A complete summary of functions for 2nd grade middle school students

Theme 16.
Meaning of function
Theme 17.
Function relations and function values
Theme 18.
Function evaluation
Theme 19.
Function expression without relation
Theme 20.
Linear function y=ax+b
Theme 21.
x-intercept and y-intercept
Theme 22.
Parallel, coincident, intersecting and perpendicular lines
Theme 23.
Shape and location of the graph of a linear function
Theme 24.
Parallel translation of the straight line y=ax+b
Theme 25.
Finding the equation of a straight line
Theme 26.
Linear equation with a linear function and two unknowns
Theme 27.
The number of solutions to a system of linear equations and the relationship between the positions of two lines

· A complete summary of functions for 3rd grade middle school students

Theme 28.
Quadratic function y=ax^2
Theme 29.
Graph of y=ax^2+q, y=a(xp)^2
Theme 30.
Graph of y=a(xp)^2+q
Theme 31.
Graph of quadratic function (standard form)
Theme 32.
Finding the equation of a quadratic function
Theme 33.
Maximum and minimum of quadratic function

· [Friendly commentary (book within a book)]

〉〉Let’s quickly finish the math functions for 1st, 2nd, and 3rd grade middle school students with ‘33 carefully selected themes’!

Even students who enjoy studying elementary school math often find it difficult to study middle school functions.
This is because the learning difficulty increases rapidly as abstract concepts and complex formulas appear in middle school functions.
Moreover, functions are expanded into various forms in higher mathematics and are used as a core concept in calculus, so it is an important unit that must be understood in depth.

1.
If you don't pass the middle school level, you will 100% fail.
In higher mathematics, functions are the most important concept.
Functions form the basis of limits, continuity, differentiation, and integration, so it is essential to have a good understanding of them.
Students who focused on repetitive computational drills in elementary school may find the concepts of functions learned in middle school difficult.
In particular, linear and quadratic functions are frequently used as core concepts in higher mathematics, so it is essential to master them thoroughly.
Therefore, if you do not properly understand middle school functions, you will face great difficulties in high school mathematics.


2.
For functions, too, the basics are more important than solving advanced problems.
When studying middle school functions, it is more important to understand the basic concepts accurately than to be able to solve difficult, advanced problems.
Many students blindly tackle advanced problems without even fully understanding the basic concepts, which is no different from building a castle on sand.
I hope you will focus on studying middle school functions to accurately understand the basic concepts.

3.
A collection of math functions for 1st, 2nd, and 3rd grade middle school students in one volume.

This book, "Complete Middle School Functions in One Book," is an introductory book and workbook for middle school functions that aims to help students accurately understand the basic concepts of mathematical functions for first, second, and third graders by collecting them into one book.
In particular, you can accurately understand the basic concepts of functions through step-by-step repetitive learning.

Structure and Use of This Book

[Step 0] Summary of Essential Concepts / [Step 1] Checking Definitions
We compared and analyzed all textbooks for the first, second, and third grades of middle school to clearly organize the essential concepts.
Additionally, we added abundant 'editing' throughout to make it easier and faster to understand.
Moreover, 'Yes' is a great help in immediately understanding the concepts presented above, and in [Step 1] Confirming Definitions, problems are solved to confirm important concepts again.

[Step 2] Understanding the Concept
We have carefully selected and included basic absolute questions with relatively low difficulty so that you can check for yourself whether you have accurately understood the essential concepts and understand the concepts while solving the problems.
This concept understanding problem is based on the problem types in the textbook and uses the approach presented in the textbook to ensure accurate understanding of the basic concepts.
If you are having trouble solving a problem, you can refer to the summary of essential concepts to solve it.

[Step 3] Raising the Problem Level
If you have accurately understood the basic concepts through the Level 2 Concept Understanding Problems, you can check the basic concepts again through the Level 2 Problem Raising Problems, which are more difficult, and solve various types of problems to raise the level of understanding of the concepts one more level.
This level-up problem set presents a wide variety of problems, so you should solve them all without missing a single one.


[Step 4] Challenge the application problem
While the second-stage concept understanding and third-stage problem level raising problems are tools that help you check if you understand the concept well or understand the concept while solving them, the fourth-stage application problem challenge problems are carefully selected and are of a type that is important enough to appear in school exams or can expand your thinking ability by applying basic concepts.

※ This book is highly recommended for the following students!

〉〉 Middle school 3rd year, high school 1st year: “A student who wants to quickly organize the essential concepts of middle school functions.”
〉〉 High school freshman, sophomore, and junior: “Students who want to review only the core concepts of middle school functions that form the basis for higher-level functions.”
〉〉 6th grade, 1st and 2nd grade: “Students who want to preview and review the entire middle school functions curriculum faster than others.”