1. Understanding of numbers: integer, fraction, decimal, percentage, etc.
2. Four operations: addition, subtraction, multiplication, division and their mixed operations.
3. Algebraic expressions: algebraic expressions, fractions, polynomials, linear equations with one variable, etc.
4. Geometry: points, lines, surfaces, angles, triangles, quadrilaterals, circles, etc.
5. Geometric transformation: translation, rotation, symmetry, etc.
6. Coordinate system: rectangular coordinate system, polar coordinate system, etc.
7. Function and image: linear function, quadratic function, inverse proportional function, etc.
8. Statistics and probability: data collection, collation, analysis, probability calculation, etc.
9. Elementary number theory: prime number, composite number, factor decomposition, etc.
10. Ability to solve practical problems initially: such as using mathematical knowledge to solve practical problems in life.
These knowledge points are the foundation of junior high school mathematics. Only by mastering these knowledge points can we better understand and master more complex mathematical knowledge in the follow-up study. At the same time, these knowledge points are also important tools to cultivate students' logical thinking ability, spatial imagination ability and problem-solving ability.