Ⅰ.
Properties of triangles
01.
Isosceles triangle and right triangle
02.
Circumcenter and incenter of a triangle

Ⅱ.
Properties of triangles
03.
parallelogram
04.
Various squares

Ⅲ.
Similarity of shapes
05.
Similarity of shapes
06.
Ratio of the lengths of line segments between parallel lines
07.
center of gravity of a triangle

Ⅵ.
Pythagorean theorem
08.
Pythagorean theorem

The shapes you learn in middle school will be used in the college entrance exam.

The area of ​​shapes is taught in middle school, which accounts for half of all elementary, middle, and high school subjects.
In elementary school, we learn the concept of shapes intuitively, and in high school, we calculate shapes learned in middle school by placing them on a coordinate plane like functions.
On the other hand, in middle school, shapes are defined in logical and abstract mathematical language and their properties are learned.
Middle school shapes are the core of the geometry area, elementary school is a warm-up, and high school is a review.
That's why we need to grab the shape area now.
Many of the difficult questions on high school transcripts or the college entrance exam often use middle school material, so if you don't organize them properly now, you'll have a hard time in high school.
By understanding the terminology, expressing it accurately in mathematical language (formulas), and applying it directly to problems, you should grasp geometry thoroughly in middle school.

Learn shapes through the three-step multi-faceted learning of [Miracle Middle School Shapes].

Through a three-stage multi-faceted learning process of seeing with your eyes, learning with your hands, and applying with your head, you will practice expressing things in mathematical language, acquiring the principles of formulas, and developing solution strategies.
You can build a solid foundation in middle school mathematics.

STEP1.
With your eyes! Glossary of terms
The word 'line' includes both straight and curved lines, but usually only straight lines come to mind.
A 'circle' is a collection of points that are the same distance from a single point on a plane, but it is also vaguely thought of as a circular shape.
Because shapes are so easily seen around us, it's easy to mistakenly assume we already know them.
Collecting terms and formulas that appear frequently but are often confused will help correct misconceptions like the one above and express them mathematically.
Create your own shape image by grouping related concepts together and looking down on them.


STEP2.
Hands-on! Individual application training
There is a clear difference between seeing a shape with your eyes and solving it yourself.
Even if you understand the terminology and memorize the formulas, there are many times when you are confused about how to apply them to a problem.
You need to figure out what relationships exist between the components of the formula, prove it yourself, and then learn the principles by applying the proven formula to problems.
Let them remember the principle with their hands.
By repeatedly solving problems by hand, you can easily understand and apply the principles.

STEP3.
With your head! Training solution strategies
Most difficult problems in geometry cannot be solved by definitions and formulas alone.
We need to develop a solution strategy that utilizes principles.
A typical example is the problem of drawing auxiliary lines.
This refers to cases where you need to divide a shape, draw an extension line, connect vertices, or draw parallel lines.
The questions on the actual exam can only be answered by going through this one step.
Develop your problem-solving skills by identifying which concepts are required for each problem and practicing applying them to solve them.