Features of this book
How to use this book

Chapter 1: Basics of Shapes
1.
Area of ​​the rectangle is 2.
Area of ​​a parallelogram 3.
Area of ​​a trapezoid 4.
Area of ​​a triangle
5.
Area of ​​a rhombus 6.
Volume of a rectangular solid 7.
Pythagorean theorem
8.
The diagonal length of a cube and a rectangular solid is 9.
The sum of the interior angles of a polygon
10.
The sum of the exterior angles of a polygon is 11.
Pi is 12.
Area of ​​a circle
13.
Area of ​​a sector ① 14.
Area of ​​a sector ② 15.
Surface area of ​​a prism and cylinder
16.
Surface area of ​​pyramids and cones 17.
Horn volume 18.
Surface area of ​​a sphere 19.
volume of a sphere
20.
Volume of a regular tetrahedron

Chapter 2 Equations
21.
Square root 22.
Development formula ① 23.
Development formula ② 24.
Development formula ③
25.
Development formula ④ 26.
Expansion formula ⑤ 27.
Quadratic equation root formula
28.
Arithmetic mean and geometric mean

Chapter 3 Proportions and Functions
29.
Function 30.
Proportionality 31.
Inverse proportion 32.
Linear function 33.
Quadratic function
34.
Inverse function 35.
Rate of change 36.
Exponential function 37.
log
38.
Law of Exponents 39.
Base conversion formula 40.
Properties of exponents and logarithms to remember

Chapter 4 Trigonometry
41.
Trigonometry 42.
Interrelationships of trigonometric functions ① 43.
Interrelationships of Trigonometric Ratios ②
44.
Trigonometric ratio of 90°-θ is 45.
Trigonometric ratio 46 of 180°-θ.
Law of Signs 47.
Cosine law
48.
Hodo Law 49.
Composition of trigonometric functions 50.
Formulas, theorems, and values ​​to remember

Chapter 5 Properties and Equations of Figures
51.
Menelaus' theorem 52.
Cheba's theorem 53.
Central angle theorem
54.
The angle formed by the tangent and chord of a circle is 55.
Bangmyeok's theorem
56.
The area of ​​the triangle is 57.
Heron's Formula 58.
Inscribed circle of a triangle
59.
The area of ​​an equilateral triangle is 60.
The area of ​​the square is 61.
Area of ​​a triangle on the coordinate plane
62.
Distance between point and line 63.
Equation of a circle 64.
Equation of a sphere

Chapter 6 Differentiation and Integration
65.
Average rate of change 66.
Extreme 67.
Differential coefficient 68.
derivative
69.
Differentiation of product 70.
Differentiation of quotient 71.
Equation of tangent line
72.
Integral 73.
Indefinite integral 74.
Definite integral 75.
Properties of definite integrals
76.
The area of ​​the area enclosed by the two curves is 77.
Area of ​​the region bounded by a parabola and a straight line
78.
Area formulas to memorize

Chapter 7 Number of Cases and Probability
79.
Union and intersection 80.
Sets and Elements 81.
Permutation 82.
Succession 83.
Permutation
84.
Duplicate permutation 85.
Number of combinations: 86.
Binomial theorem 87.
Probability 88.
Probability sum event
89.
Probability of independent implementation ① 90.
Probability of independent implementation ② 91.
Conditional probability

Chapter 8 Sequences
92.
General term of arithmetic sequence 93.
General term of geometric sequence 94.
sum of arithmetic sequence
95.
The sum of geometric sequences is 96.
General term of the difference sequence 97.
Sum and general term of a sequence
98.
Consensus formula

Chapter 9 Vectors
99.
Components and magnitude of vectors 100. Components and magnitude of AB (vector)
101.
Vector operations by components 102.
Dot product of vectors 103.
Displaying the components of the inner product
104.
Finding the area of ​​a triangle using vectors 105.
Vector equation of a straight line
106.
Vector equation of a straight line passing through two different points
107.
Equation using normal vector
108.
Vector equation of a circle ① 109.
Vector equation of a circle ②

COLUMN 1_ The probability of winning a rare item in a smartphone game's paid item draw
COLUMN 2_ Why You Shouldn't Divide by Zero in Math
COLUMN 3_ Domino's Interesting Features
COLUMN 4_ A triangle whose interior angles sum to 270°?!

“Why is the formula for the area of ​​a circle πr squared?”
Math creator with 400,000 followers
Complete mastery of math formulas!

Let's get rid of the idea that math is difficult and boring.
It is also not advisable to simply memorize formulas and solve problems.
Even if it's the same mathematical formula, if you approach it from a different perspective, it can be surprisingly easy to understand and stick in your head.
For example, why is the formula for the area of ​​a circle πr squared? According to the book, the circle is peeled back very thinly from the outside to form a triangle.
Since the base of the triangle is the circumference, 2πr, and the height is the radius, r, the area of ​​this triangle is the area of ​​the circle.
In this way, this book emphasizes looking at and thinking about mathematics differently.


Author Architonton explains the book's features, making us think again about what division is, what it calculates, and its meaning.
In fact, it is easier to understand division if you think of it as 'creating a standard (determining a number to be the standard)' rather than 'dividing'.

Taking 10÷5 as an example, we can solve it by utilizing the concept of ‘standard’ as follows.
The author says that asking, 'How many 5s are there in 10? (If you have 10 apples and put them in sets of 5, how many sets are there?)' is division.
This concept of 'standard' is something that everyone unconsciously thinks of.
A typical example is calculating time. If asked, "How many minutes are in 420 seconds?", anyone would answer using the following formula.
[420 ÷ 60 = 7] Because we consider 60 seconds as 1 minute, we end up answering 7 minutes!

Based on this perspective, this book introduces formulas and theorems used in various fields from the basics to applications of mathematics, and explains them in an easy-to-understand manner using illustrations.
You can also review and expand on what you've learned by adding examples or niche knowledge that will help you understand the topic.

The items included in the book are as follows:
■ Basic shapes (rectangle, parallelogram, trapezoid, triangle, rhombus, rectangular solid, etc.)
■ Equations (square roots, quadratic equation root formulas, expansion formulas, etc.)
■ Proportionality · Functions (linear function, quadratic function, exponential function, logarithm, etc.)
■ Trigonometric ratios (law of sines, law of cosines, law of degrees, composition of trigonometric functions, etc.)
■ Properties of shapes (Cheva's theorem, Heron's formula, central angle theorem, etc.)
■ Differentiation and integration (average rate of change, equation of tangent line, integral, definite integral, etc.)
■ Number of cases and probability (sets, permutations, factorials, conditional probability, etc.)
■ Sequence (arithmetic sequence, geometric sequence, sum formula, etc.)
■ Vectors (components and magnitudes of vectors, inner products, vector equations of circles, etc.)

Architonton, the author of the book, is a math communicator who creates interesting math-related videos and shares them on YouTube.
Drawing on my own experience of struggling with studying during my school days, I create content that can help even those who lack confidence in their studies enjoy studying, and share it on YouTube and social media.
Through my lectures and writing, I am breaking the stereotype that studying is not fun and requires hardship.
It is popular not only among middle and high school students, but also among college students and working adults, and currently has 400,000 followers.

This book is not only for middle school and high school students.
It is easy and well-organized enough to help college students and working adults review what they learned in school.
Let's start with a light heart and not think too hard about it.