1. Algebra: It includes basic algebraic operations, such as addition, subtraction, multiplication and division, and more advanced algebraic concepts, such as factorization, equations and inequalities.
2. Geometry: including the basic knowledge of points, lines, surfaces and bodies, as well as more complex geometric concepts, such as angles, triangles, quadrilaterals, circles and polygons.
3. Probability statistics: including basic probability theory, such as events, probabilities and combinations, and basic statistical concepts, such as data collection, analysis and interpretation.
4. Function and image: including the basic concepts of function, such as definition domain, value domain and image, as well as more complex function types, such as linear function, quadratic function and exponential function.
5. Data processing: including data collection, collation and analysis, and how to use charts and graphs to represent data.
6. Problem solving: including how to identify and solve mathematical problems and how to describe real-world problems with mathematical models.
7. Mathematical thinking: including critical thinking, logical reasoning and proof and other important mathematical skills.
8. Application of mathematics: including the application of mathematics in daily life and in the fields of science, engineering and technology.
These knowledge points not only need to be studied in class, but also need to be deeply understood and applied through practical activities and personal research.