1. From natural number to rational number (reciprocal, absolute value, number axis)

2. Operation of rational numbers (addition, subtraction, multiplication, division and multiplication)

3. Real numbers (square root, cube root, irrational number)

4. Algebraic expressions (algebraic expressions and their addition and subtraction)

5. One-dimensional linear equation (solution)

6. Data and charts (bar chart, line chart and fan chart)

7. Preliminary knowledge of graphics (basic concepts, complementary angles and complementary angles)

1. Preliminary knowledge of triangle (the nature and judgment of angle bisector, median line, height and congruent triangles)

2. Graphics and transformations (axial symmetry, translation, rotation and similar transformations)

3. Possibility of events (probability calculation of equally possible events)

4. Binary linear equations (solutions of binary linear equations)

5. Multiplication and division of algebraic expressions (power operation, multiplication formula)

6. Factorial decomposition (common factor extraction method, formula method, cross multiplication method and grouping decomposition method)

7. Fractions (addition, subtraction, multiplication and division of fractions, fractional equations)

Grade 8 1. Parallel lines (the nature and judgment of parallel lines)

2. Special triangles (the nature and judgment of isosceles, equilateral and right-angled triangles)

3. Straight prism (cubic surface development diagram, three views)

4. Preliminary analysis of samples and data (average, median and mode)

5. One-dimensional linear inequality (basic properties, solution)

6. Graphics and coordinates (coordinate system, axis symmetry and translation transformation of the midpoint of coordinate system)

7. Linear functions (proportional functions, images and properties of linear functions)

1. Quadratic Radical (Properties and Operation)

2. One-dimensional quadratic equation (solution: factorization method, direct Kaiping method, collocation method, formula method)

3. Frequency and its distribution (frequency distribution histogram, frequency distribution line chart)

4. Proposition proof (common proof method, reduction to absurdity)

5. Parallelogram (parallelogram's nature, judgment, central symmetry, triangle's midline)

6. Special parallelogram and trapezoid (rectangle, diamond, square, trapezoid)

Grade 9 1. Inverse proportional function (image and properties of inverse proportional function)

2. Quadratic function (image and properties of quadratic function)

3. Basic properties of a circle (circumscribed circle, central angle, peripheral angle, calculation of arc length and area of a sector, lateral area of a cone).

4. similar triangles (nature of proportion, nature and judgment of similar triangles)

1. Solving right triangle (acute trigonometric function, solving right triangle)

2. Probability of simple events (probability calculation of simple equal possible events)

3. The positional relationship between straight line and circle, circle and circle (inscribed circle, straight line and circle, circle and circle)

4. Projection and three views (projection, three views of simple objects)