The idea of calculus is a very important idea, which can help us understand the changes of functions and describe the laws in the real world. In daily life, the basic knowledge of calculus has become common sense for people to know things. Many middle school students will go to work directly after graduating from high school. I hope that students can look at the mathematical world and the real world from the perspective of change and movement through the study of calculus, and have a broader mathematical vision.

② There are many examples and cases of calculus in related subjects learned in middle schools, such as physics, chemistry, biology and geography. Therefore, in order to understand these examples and cases, it is necessary to give the mathematical expression of calculus.

③ It is not difficult to introduce calculus directly, and middle school students can accept it.

④ It can help students understand the rich background and application of derivatives and integrals, establish some specific and special concepts of limit, and initially form a perceptual knowledge of limit, which is helpful for further study of calculus theory.

⑤ Calculus plays an important role in the history of human civilization. Through this part of the study, students can better understand the indispensable role of mathematics in human progress and development.