1. Numbers and algebra: including integers, fractions, decimals, percentages, negative numbers, rational numbers, irrational numbers, algebras, equations and inequalities, etc. These knowledge points are the foundation of junior high school mathematics and lay a solid foundation for subsequent study.
2. Geometric figures: including the properties and calculations of basic figures such as points, lines, surfaces, angles, triangles, quadrangles and circles, as well as the basic concepts and theorems of plane geometry and solid geometry.
3. Data processing: including data collection, sorting and presentation (such as bar chart, line chart and pie chart). ), analysis and interpretation.
4. Elementary functions: including proportional functions, inverse proportional functions, linear functions, quadratic functions and their images and properties.
5. Probability statistics: including calculation of probability, statistical analysis of data, etc.
6. Solve practical problems: use the mathematical knowledge learned to solve practical problems in life and improve the ability of mathematical application.
7. Mathematical thinking methods: including induction, deduction, analogy, model, etc. , cultivate logical thinking and abstract thinking ability.
8. Mathematical formulas and theorems: master various mathematical formulas and theorems involved in junior high school, such as Pythagorean theorem, the nature of quadratic root, complete square formula, etc.
9. Use of mathematical tools: such as ruler drawing, protractor, calculator, etc. , and skillfully use these tools for mathematical operations and drawing.
10. Mathematical culture: Understand the history, development and application of mathematics, and cultivate interest and love for mathematics.
In short, there are many knowledge points involved in junior high school mathematics, which need students to master and use gradually in the learning process to form a systematic knowledge system. At the same time, pay attention to cultivating mathematical thinking and the ability to solve practical problems, so as to lay a good foundation for high school and university study.