1, Definition and Properties: This part can explain the definition and properties of proportion in detail, including what is proportion, how to judge whether two quantities are proportional, and the basic properties of proportion.

2. Application of proportion: It can show the application of proportion in life, such as in engineering design, architecture, manufacturing and other fields.

3. Relationship between proportion and percentage: percentage is a special proportion. We can discuss the relationship between percentage and proportion, and how to convert percentage into proportion for calculation.

4. Importance of proportion in mathematics: We can discuss the importance of proportion in mathematics, for example, in algebra, geometry and other fields, proportion has important applications.

5. How to solve the proportion problem: You can list some methods and skills to solve the proportion problem, such as using the basic properties of proportion and cross multiplication.

6. Relationship between proportion and real life: We can discuss the practical application of proportion in real life, such as shopping, investment, measurement and other fields. Proportion is widely used.

7. Example analysis: Some typical proportional problems can be selected for detailed analysis to help students better understand how to solve the proportional problem.

Application of proportion:

1, algebra: in algebra, proportion is widely used in factorization, solving equations and finding roots. For example, when solving a linear equation with one variable, we can use the proportional method to solve the unknown quantity.

2. Geometry: In geometry, proportion is widely used in length, area and volume. For example, when calculating the area of parallelogram, we can use the nature of proportion to solve it.

3. Statistics: In statistics, proportion is widely used for classification, comparison and description. For example, when comparing the economic growth of different regions, we can use the concept of proportion to analyze.

4. Finance: In finance, proportion is widely used in investment, loan and insurance. For example, when calculating the monthly repayment amount of a loan, we need to use the concept of proportion to calculate.

5. Physics: In physics, proportion is widely used in the transfer of mass, energy and force. For example, when calculating the weight of an object, we need to use the concept of proportion to calculate.