Ⅰ.
polynomial
1.
Operation of polynomials
Concept Check / Basic Concept Questions
01.
Addition and subtraction of polynomials
02.
Multiplication of polynomials
03.
Division of polynomials
04.
Multiplication formula
05.
Variations of the multiplication formula
06.
Application of the multiplication formula
07.
Real-life applications of polynomial operations
Descriptive questions
Highest difficulty problem

2.
Remainder theorem and factorization
Concept Check / Basic Concept Questions
01.
Identities and undetermined coefficients
02.
Remainder theorem (1)
03.
Remainder theorem (2)
04.
Remainder theorem (3)
05.
Application of the remainder theorem
06.
Takeover theorem
07.
Application of the factorization theorem
08.
Factorization
09.
Factoring complex expressions
10.
Applications of factoring
Descriptive questions
Highest difficulty problem

Ⅱ.
Equations and Inequalities
1.
Complex numbers and quadratic equations
Concept Check / Basic Concept Questions
01.
Addition and subtraction of complex numbers
02.
Multiplication and division of complex numbers
03.
Equality of complex numbers
04.
conjugate complex number
05.
Calculation using the period of i
06.
Application of calculation using the period of i
07.
Application of complex number calculations
08.
Properties of square roots of negative numbers
09.
Quadratic equation
10.
Applications of quadratic equations
11.
Discriminant of Quadratic Equations - When They Have Real Roots
12.
Discriminant of a quadratic equation - when it has multiple or imaginary roots
13.
Relationship between roots and coefficients of quadratic equations (1)
14.
The relationship between the roots and coefficients of a quadratic equation (2)
15.
Application of the relationship between the roots and coefficients of quadratic equations
16.
Conditions for the roots of a quadratic equation
17.
conjugate muscle
Descriptive questions
Highest difficulty problem

2.
Quadratic functions and quadratic equations
Concept Check / Basic Concept Questions
01.
Understanding the graph of a quadratic function
02.
Maximum and minimum of quadratic function
03.
Application of maximum and minimum of quadratic functions
04.
The relationship between the graph of a quadratic function and the position of a straight line - when tangent
05.
The relationship between the graph of a quadratic function and the position of a line - when it meets at two points
06.
The relationship between the graph of a quadratic function and a straight line - when they do not intersect
07.
Application of the positional relationship between the graph of a quadratic function and a straight line
08.
Quadratic functions and quadratic equations
Descriptive questions
Highest difficulty problem

3.
Various equations
Concept Check / Basic Concept Questions
01.
Cubic equation (1)
02.
Cubic equation (2)
03.
Relationship between roots and coefficients of cubic equations
04.
Applications of cubic equations
05.
quartic equation
06.
Simultaneous quadratic equations - simultaneous linear and quadratic equations
07.
Simultaneous quadratic equations - simultaneous quadratic and quadratic equations
08.
Application of simultaneous quadratic equations
09.
Various equations
Descriptive questions
Highest difficulty problem

4.
Various inequalities
Concept Check / Basic Concept Questions
01.
simultaneous linear inequalities
02.
First-order inequalities with absolute value symbols (1)
03.
Linear inequalities with absolute value symbols (2)
04.
Quadratic inequality
05.
Application of quadratic inequalities
06.
Quadratic functions and quadratic inequalities
07.
Simultaneous quadratic inequalities - simultaneous linear and quadratic inequalities
08.
Simultaneous quadratic inequalities - simultaneous quadratic and quadratic inequalities
Descriptive questions
Highest difficulty problem

Ⅲ.
Number of cases
1.
permutation
Concept Check / Basic Concept Questions
01.
Tree diagram
02.
Law of Sum and Law of Multiplication
03.
Number of cases using female cases
04.
Number of ways to color a shape
05.
permutation
06.
Utilizing permutations
07.
Permutations - adjacent or not adjacent
Descriptive questions
Highest difficulty problem

2.
mixture
Concept Check / Basic Concept Questions
01.
mixture
02.
Number of cases using combinations
03.
Number of cases with specific conditions
04.
Number of natural numbers using combinations
05.
Utilizing Combinations - Shapes
06.
Utilizing Combinations - Proof
07.
Utilizing Combinations - Formation
Descriptive questions
Highest difficulty problem

Ⅳ.
procession
1.
Matrices and their operations
Concept Check / Basic Concept Questions
01.
elements of a matrix
02.
Same matrix
03.
Addition and subtraction of matrices, calculation of real number multiples
04.
Matrix multiplication
05.
Applications of matrix multiplication
06.
Matrix Exponentiation (1) - Finding a Matrix
07.
Matrix Exponentiation (2) - Finding Constants, Proof
08.
Matrix multiplication and quadratic equations
09.
When a product with a 2×1 matrix is ​​given
10.
Power of a matrix; when the elements change regularly
11.
Power of a matrix; when it is a real multiple of the identity matrix
12.
Properties of matrix multiplication
13.
Transformation of matrices using relations
14.
Matrix sum-of-the-words problems
Descriptive questions
Highest difficulty problem

Mock tests for each unit to prepare for school exams
1st Ⅰ-1.
Operation of polynomials
2nd time Ⅰ-2.
Remainder theorem and factorization
3rd time Ⅱ-1.
Complex numbers and quadratic equations
4th episode Ⅱ-2.
Quadratic functions and quadratic equations
5th episode Ⅱ-3.
Various equations
Episode 6 II-4.
Various inequalities
7th Ⅲ-1.
permutation
Episode 8 III-2.
mixture
Episode 9 IV-1.
Matrices and their operations