Quick middle school style for busy middle school students

First yard.
Properties of shapes

01 Properties of isosceles triangles
02 Conditions for becoming an isosceles triangle
03 Congruence conditions of right triangles
04 Circumcenter of a triangle
05 Incenter of a triangle
06 Meaning and properties of parallelograms
07 Conditions for becoming a parallelogram
08 Rectangle, rhombus
09 Square, isosceles trapezoid
10 Relationships between different quadrilaterals

Second yard.
Similarity of Figures and the Pythagorean Theorem

11 Similar Shapes
12 Similarity conditions for triangles
13 Similar triangles in right triangles
14 Ratio of the lengths of line segments between parallel lines in a triangle
15 Bisectors of interior and exterior angles of a triangle
16 Ratio of the lengths of line segments between parallel lines in a trapezoid
17 Properties of the line segment connecting the midpoints of two sides of a triangle
18 Center of gravity of a triangle
19 Pythagorean theorem
20 Proof of the Pythagorean theorem, conditions for a right triangle
21 Applications of the Pythagorean Theorem

Third yard.
probability

Case 1 of 22
Case 23
24 Case 3
25 The meaning and nature of probability
26 Calculating Probability 1
27 Calculating Probability 2

Quick Middle School Lessons for Busy Middle School Students

Middle school math is the foundation of middle and high school math!

How should I study to do well in middle school math?

■ Build a solid foundation in middle school mathematics and move on!
Mathematics is a subject with a strong systematic structure, with units connected from middle school mathematics to high school mathematics.
The second semester middle school mathematics course is mostly focused on shapes (geometry) for all 1st, 2nd, and 3rd grades, and the content is linked to 1st through 3rd grade middle school.

In particular, the properties of shapes, similarity of shapes, and the Pythagorean theorem in the second year of middle school are important units that form the basis of the geometry area of ​​middle school mathematics.
This book is faithful to the most basic issues that middle school students need to know.

So, what should I do first to study middle school math efficiently?

? It's better to start with easy problems and work your way up.

? It's better to be exposed to a lot of difficult problems.

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, the correct answer would be ?, but if you are an average student, the correct answer would be ?.

■ Let’s build the foundation of middle school math, starting with easy problems!
Even students who enjoyed elementary school geometry often find middle school geometry difficult.
This is because, unlike elementary school geometry, middle school geometry often features many abstract terms and unfamiliar formulas.
Moreover, most second semester middle school math workbooks are designed to teach students to solve advanced problems before they become familiar with the concept of shapes.

There's no study method more inefficient than solving advanced problems without even understanding the content.
However, many students fall victim to difficult math workbooks.

'Busy Middle School Geometry' is a book that allows you to solve easy problems step by step using the basic concepts and formulas of middle school geometry. It is a unique book among the books currently on the market that is designed to be solved on your own without a teacher.

■ Busy tips from a famous instructor in Daechi-dong! It feels like the teacher is right next to you.
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 teaching you face-to-face.

Each concept is explained in detail at each stage, and the "Busy Tips" from Daechi-dong's renowned instructors are included, making it easy to understand even when studying on your own.
Additionally, the author provides video lectures on concepts at every step of the book, allowing you to hear explanations of the concepts directly.

■ Only the basic problems for the second semester of the second year are collected in one book.
This book covers not only geometry, but also all the math content learned in the second semester of the second grade.
This book covers only the basic problems of second semester second grade math, including geometry and probability, so you can build a solid foundation.
If you train with this book and build a solid foundation, you'll gain the strength to tackle any type of advanced problem that comes your way.

■ 70% of middle school students get this problem wrong, solved with the 'Oops! Mistake' and 'Let's Go! ×Man and ○Man' corners!

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.

In the "Oops! Mistake" section on the concept page, we've compiled the points of error that 70% of middle school students frequently make.
Additionally, the 'Go! ×Man and ○Man' corner allows you to see at a glance which calculations are correct and which are incorrect, which helps to drastically reduce mistakes.

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!

'Busy Middle Schooler' will help you who are busy.
Build a solid foundation in middle school math with this book!

■ How to effectively view the 'Busy Middle School Math and Geometry' series

The 'Busy Middle School Math and Geometry' series consists of two volumes of 'Busy Middle School Math' for the first semester and one volume of 'Busy Middle School Geometry' for the second semester.

1.
Want to strengthen only your weak areas? - Choose just one of the three books!
If you find calculations of numbers and expressions or inequalities difficult during the middle school 2nd grade curriculum, choose and organize Middle School Operations Volume 1, “Calculation of Numbers and Expressions, Inequality Area”; if you find simultaneous equations and functions difficult, choose Middle School Operations Volume 2, “Simultaneous Equations, Function Area”; if you find shapes difficult, choose and organize Middle School Geometry, “Properties of Shapes, Similarity of Shapes and Pythagorean Theorem, Probability”.
Even if you are a 2nd or 3rd year middle school student, focus on studying your weak areas to quickly make up for your learning deficits.

2.
What if I am a second year middle school student but weak in math, or a first year middle school student preparing for second year middle school math?

Study in the following order: [Middle School Math Volume 1 → Middle School Math Volume 2 → Middle School Geometry] according to the progress of middle school math.

You can solve basic problems, so you can build a solid foundation for middle school mathematics.

3.
What if you are a teacher at a school or a study room?

1) For students who lack basic knowledge, briefly explain the concepts and then use it as a self-study material.

2) For students who have mastered the concept, use it as a textbook for homework.

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

*Busy Middle School 2 Operations Volume 1 consists of 22 steps, Volume 2 consists of 22 steps, and Shapes consists of 27 steps, and each step can be solved within 1 hour.