1. Junior high school mathematics knowledge: including basic concepts and operation methods such as integers, fractions, decimals, percentages, algebraic expressions, equations and inequalities, and geometric figures.

2. Arithmetic operation: Master the operation rules and properties of addition, subtraction, multiplication and division, and be able to perform simple elementary arithmetic operations.

3. Algebra knowledge: understand the concepts of variables, constants and functions, master the solutions of linear equations and quadratic equations, and understand the solutions of inequalities.

4. Geometry knowledge: familiar with the basic concepts of plane geometry and solid geometry, such as points, lines, surfaces, angles, triangles, quadrilaterals, circles, etc. , and can carry out simple geometric calculation and proof.

5. Data statistics and probability: understand the methods of data collection, collation and analysis, master the calculation of statistics such as average, median and mode, and understand the basic concepts and calculation methods of probability.

6. Logical reasoning and proof: cultivate logical thinking ability and be able to use logical reasoning and proof methods to solve mathematical problems.

7. Mathematical symbols and expressions: Be familiar with the expression and application of mathematical symbols, and be able to express the process of asking and answering questions in correct mathematical language.

8. Mathematical thinking and problem-solving ability: cultivate mathematical thinking, be able to use mathematical knowledge and methods to solve practical problems and improve problem-solving ability.

The above are the basic knowledge needed for high school mathematics learning, and mastering these knowledge can lay a solid foundation for high school mathematics learning.