First yard square roots and real numbers
01 Meaning and Understanding of Square Roots
02 Expressing without using radicals
03 Properties of square roots
04 Properties of root a squared
05 Conditions for root a to be a natural number
06 The relationship between square roots
07 Irrational numbers
08 Real Numbers and Number Lines

Calculation of equations including the second yard square root
09 Multiplication of square roots
Division of square roots of 10
11. Rationalization of the denominator
Addition and subtraction of square roots 1
Addition and subtraction of square roots 2
Application of addition and subtraction of square roots of 14

Multiplication of third-order polynomials
15 Multiplication Formula 1
16 Multiplication Formula 2
17 Calculating polynomials using the multiplication formula
18 Calculating irrational numbers using the multiplication formula
19 Finding the value of an expression by modifying the multiplication formula

Fourth yard factorization
Factoring using 20 common factors
21 Factoring Formulas 1, 2
22 Factoring Formulas 3 and 4
23. Synthesis of Factoring Formulas
24 Factoring using substitution
25 Various factorizations
26 Finding the value of an expression using the factorization formula

A basic workbook without pretense! Contains the largest number of problems by subject area.

Middle school math is the foundation of higher level math!
How can I study efficiently?

■ Let’s build a solid foundation in middle school math and move on!
Mathematics is a subject with a strong systematic structure, with many units connected from middle school mathematics to high school mathematics courses.
The first semester of middle school mathematics covers algebra for all 1st, 2nd, and 3rd grades, and the content is linked to 1st through 3rd grade middle school.
In particular, square roots, real numbers, factoring, quadratic equations, and quadratic functions in the third year of middle school are important units that form the basis of the algebra area of ​​higher mathematics.
This book is faithful to the most basic issues that need to be known in the third year of middle school.


So, what should I do first to study middle school math efficiently?
① It is better to start with easy problems and solve them one by one.
② It is better to encounter many difficult problems.

I'll give you a hint.
Study experts say this:
“If it is difficult to learn, it helps you remember it for a long time.
However, if the learner does not have background knowledge, the difficulty becomes undesirable.” If the math problem is too difficult without background knowledge, the brain cannot overcome fatigue and gives up on studying.
So, if you are a student who is good at math, ② is the correct answer, but if you are an average student, ① “It is better to start with easy problems and work your way up” is the correct answer.

■ Let’s build a foundation in math with calculations and basic problems!
Operations can be said to be the basic physical strength of mathematics.
You need to build your high school math skills on the foundation you built in middle school, but if you have difficulty with calculations, it will be difficult to improve your math grades in high school.
Also, starting with a basic workbook is actually faster than solving several difficult workbooks.
The first middle school math textbook you encounter should first build a solid foundation of conceptual understanding and calculations, so that you can build the strength to solve more difficult problems later on!

"Busy Middle School Math" is a book that helps you solve basic math problems and calculations that are the foundation of math. It is the only book on the market designed to be solved on your own without a teacher.

■ Busy tips from a famous lecturer! It's like listening face-to-face.
Existing books simply collect vast amounts of knowledge into one volume, but do not teach how to study it.
So, I often relied on my teacher.
However, this book contains detailed study tips as if the teacher were giving you face-to-face advice.

Each concept is explained in detail at each stage, along with helpful tips from renowned instructors, so you can easily understand it even if you study on your own.

■ The first semester is divided into two volumes, containing the largest number of problems by type!
Once you understand the concept, you should now practice solving enough problems until you feel comfortable with the concept.
"Quick Middle School Math for Busy Third-Year Middle School Students" contains the largest number of problems by area, from easy problems to school exam-type problems, to ensure sufficient math training.
So, I divided the third-grade, first-semester math into two volumes.
As you solve the problems in this book, a problem-solving circuit for each type will naturally form in your head.

■ Don't get what you know wrong! 70% of middle school students get this wrong, solved with the "Oops! Mistake" corner!
Even friends who are good at math often lose points due to calculation mistakes.
This book has a special device in place to prevent you from receiving a lower score than your actual ability due to calculation errors.
Through the "Oops! Mistake" corner on every concept page, we've compiled the points of error that 70% of 3rd year middle school students frequently make.
It also helps to drastically reduce computational errors by allowing users to directly solve and check 'Oops! Mistake' type problems.

Additionally, at the end of each stage, we've included 'free exam questions', suggesting middle school exam questions that can be solved just by practicing in this book.
There are many school exam questions that can be answered correctly just by solving all the problems in this book.
If you're a middle school student, it's time to organize your concepts and learn how to solve problems on your own!

How to Effectively Study "Middle School Math for Busy Third-Year Students"

The "Busy Middle School Math" series consists of two volumes covering the first semester of the third year of middle school math, and covers the largest number of math problems among textbooks on the market.
Therefore, even friends who lack a foundation in mathematics can improve the speed and accuracy of calculations through focused training in specific areas.

Volume 1: Square Roots and Real Numbers, Multiplication of Polynomials, and Factorization
Volume 2, Quadratic Equations and Quadratic Functions

1.
Want to strengthen only your weak areas? ― Choose just one of the two books!
If you find square roots or factoring difficult in the middle school 3rd grade curriculum, try quickly organizing them with Volume 1, “Square Roots and Real Numbers, Multiplication of Polynomials, Factoring Area,” and if you find quadratic equations or quadratic functions difficult, try quickly organizing them with Volume 2, “Quadratic Equations, Quadratic Function Area.”
Even if you are a 3rd year middle school student or a 1st year high school student, focus on studying your weak areas to quickly make up for any learning gaps.

2.
What if I am a 3rd year middle school student but my math skills are weak, or if I am a 2nd year middle school student preparing for 3rd year middle school math?
Study in the following order: Volume 1: “Square Roots and Real Numbers, Multiplication of Polynomials, Factoring Area” → Volume 2: “Quadratic Equations, Quadratic Function Area” according to the progress of Middle School Mathematics 3-1.
You can solve basic problems, so you can build a solid foundation for middle school math.


3.
What if you are a teacher at a school or a study room?
This book is designed to ease the burden on teachers.
1) Have students who need more calculation skills come 30-40 minutes early to work through this book.
Even if the teacher doesn't try hard to explain, students can solve the problem just by having the book.

2) It is suitable as a short-term textbook for vacation to supplement light pre-learning and learning deficits.

Volume 1 consists of 26 levels, Volume 2 consists of 20 levels, and each level can be solved within 1 hour.