1 Rational numbers and recurring decimals
01 Finite and infinite decimals
02 Representation of recurring decimals
03 Find the number in the nth place after the decimal point
04 Fractions that can be expressed as finite decimals
05 Representing recurring decimals as fractions
06 If you make a mistake in the denominator or numerator of a reduced fraction
Finding finite decimals within range 07
08 Calculating expressions containing recurring decimals
09 Solving equations containing recurring decimals
10 Relationship between rational numbers and prime numbers
11 Conditions for B/A*x to be a finite decimal
12 Conditions for x/A to be a finite decimal
13 When x/A is a finite decimal, express it as a reduced fraction
14 Conditions for a fraction to be a repeating decimal
15 The value of the unknown that turns a repeating decimal into a finite decimal

Calculation of equation 2
01 Law of Exponents ⑴
02 Law of Exponents ⑵
03 Law of Exponents ⑶
04 Law of Exponents ⑷
05 If the same thing is added multiple times
06 Representing using different characters
07 Finding the digits
08 Multiplication and division of monomials
09 Applications of Multiplication and Division of Monomials
10 Addition and subtraction of polynomials
11 Calculating expressions in fraction form
12 Multiplication and division of polynomials and monomials
13 Mixed calculations of polynomials and their applications
14 Substitution and Value of Expressions
15 Meaning and expression of inequalities
16 Solution to Inequality
17 Properties of Inequalities
18 linear inequalities
19. Solution to the first-order inequality
20. Plotting the solution to the inequality on a number line
21 Linear inequalities with parentheses
22 Linear inequalities with decimal or fractional coefficients
Solution of linear inequality where coefficient of 23 x is a letter
24 When the conditions for the solution of the inequality are given
Application of 25-day inequalities (number, average)
26. Application of linear inequalities (price, admission fee, fee, cost)
Application of 27-Day Inequalities (Figures)
28 Applications of Linear Inequalities (Distance, Time, Speed)
Application of 29-Day Inequalities (Concentration)
Application of the 30-day inequality (list price, cost price)
31 Linear equation with two unknowns
32 Solutions to linear equations with two unknowns
33 If the solution to the linear equation is given
34 Expressing as a simultaneous equation
35 Solutions to simultaneous equations
36 Simultaneous equations with decimal or fraction coefficients
37 A simultaneous equation of the form A=B=C
38 Systems of equations with infinite or no solutions
39 When the solution to a system of equations is given
40 When the solutions to several equations are equal
41 When the conditions for the solution of a system of equations are given
42 If you solve the problem by reporting the coefficients or constant terms incorrectly
43 Application of simultaneous equations (number, average)
44 Application of simultaneous equations (age, number)
45 Applications of Simultaneous Equations (Number of People)
46 Applications of simultaneous equations (scoring, number of legs)
47 Application of simultaneous equations (amount of work)
48 Applications of Simultaneous Equations (Stair Climbing)
49 Application of simultaneous equations (list price, cost price)
50 Applications of simultaneous equations (figures)
51 Application of simultaneous equations (distance, speed, time ⑴)
52 Application of simultaneous equations (distance, speed, time ⑵)
53 Application of simultaneous equations (distance, speed, time ⑶)
54 Applications of Simultaneous Equations (Track)
55 Applications of Simultaneous Equations (Boat on a River)
56 Applications of simultaneous equations (alloys)
57 Application of simultaneous equations (concentration)
58 Applications of Simultaneous Equations (Price)

3. Linear functions and their graphs
01 Function
02 Function value
03 Linear function
04 Graph of linear function
05 x-intercept, y-intercept
06 Slope
07 Area of ​​the shape enclosed by the graph of a linear function and the coordinate axes
08 Properties of the graph of a linear function
09 Positional relationship of the graph of a linear function
Finding the equation of a 10-day function
Application of 11-day functions (temperature, amount of water)
Application of 12-day functions (distance, length)
Application of 13-Day Linear Functions (Figures)
14 Relationship between linear functions and linear equations
15 Straight line x=p, y=q
16. Graphs of linear functions and solutions to simultaneous linear equations
17 Area of ​​a shape enclosed by straight lines

4 Properties of shapes
01 Properties of isosceles triangles
02 Application of the properties of isosceles triangles
03 Conditions for becoming an isosceles triangle
04 Congruence conditions of right triangles
05 Application of congruence conditions for right triangles
06 Properties of angle bisectors
07 Meaning and properties of the circumcenter of a triangle
08 Location of the circumcenter of a triangle
09 Application of the circumcenter of a triangle
10 Meaning and properties of the incenter of a triangle
11 Application of the incenter of a triangle ⑴
12 Application of the incenter of a triangle ⑵
13 Circumcenter and incenter of a triangle
14 Properties of Parallelograms ⑴
15 Properties of Parallelograms ⑵
16 Conditions for becoming a parallelogram
17 Applications of Area in Parallelograms
18 The meaning and properties of rectangles
19 Conditions for a parallelogram to become a rectangle
20 The meaning and properties of the rhombus
21 Conditions for a parallelogram to become a rhombus
22 The meaning and properties of a square
23 Conditions for becoming a square
24 Meaning and properties of isosceles trapezoid
25 Relationships between various quadrilaterals
26 Area of ​​Parallel Lines and Figures
27 Area of ​​triangles with equal heights

5 Similarity of Figures and the Pythagorean Theorem
01 Meaning of similar shapes
02 Properties of similarity in plane figures
03 Properties of similarity in three-dimensional figures
04 Similarity conditions of triangles ⑴
05 Similarity conditions of triangles ⑵
06 Application of Similarity in Origami
07 Similarity of right triangles
08 Ratio of the lengths of line segments between parallel lines in a triangle
09 Angle bisector of a triangle
10 Ratio of the lengths of line segments between parallel lines
11 Ratio of the lengths of line segments between parallel lines in a trapezoid
Application of the ratio of lengths of line segments between 12 parallel lines
13 Properties of the line segment connecting the midpoints of two sides of a triangle
14 Properties of the Median of a Triangle 136
15 Meaning and properties of the center of gravity of a triangle
16 Center of gravity and area of ​​a triangle
17 Applications of the Center of Gravity of a Triangle
18 Ratio of length and area of ​​two similar plane figures
19 Ratio of surface area and volume of two similar solid figures
20 Axes and Scales
21 Pythagorean theorem
22 Pythagorean Theorem - Euclidean Method and Applications
23 The relationship between the size of the angles of a triangle and the length of the sides

6 probability
01 Number of cases and incidents
02 Number of cases in which event A or B occurs
03 Number of cases in which two events A and B occur simultaneously
04 Number of cases of taking the shortest route
05 Number of cases of payment
06 Number of cases of lining up
07 Number of cases of neighboring buildings
08 Number of cases of making natural numbers
09 Number of cases for selecting a representative
10 coloring cases
11. Number of cases to find the number of line segments or triangles
12 The meaning and basic properties of probability
13 The probability that an event will not occur
14 Probability of event A or B occurring
15 Probability that two events A and B occur simultaneously
16 At least ~ probability
Probability of pulling out 17 consecutive times
18 Addition and Multiplication of Probabilities
19 Applications of addition and multiplication of probability
20 Various probabilities

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