The Ministry of Education promulgated "Ordinary Senior High School Mathematics Curriculum Standard (Experiment)", and the sequence and difference were included in the senior high school mathematics curriculum as a new content and as an elective series of topics. Its introduction meets the needs of basic education reform and social development. Difference theory is a branch of discrete mathematics. As an important part of modern mathematics, it is an important tool to solve problems in computer artificial intelligence, physics, economy and many other fields. Introducing senior high school mathematics into this topic in the form of multiple-choice questions is not a simple decentralization of this topic, but introduces its most essential and basic content to students, which is not only conducive to expanding students' horizons, stimulating students' interest and enthusiasm in learning mathematics, but also laying a good foundation for its harmonious and sustainable development. So, how do high school math teachers understand the position and function of "sequence and difference"? How to construct the content of "sequence and difference" according to "Mathematics Curriculum Standard for Ordinary Senior High School"? What problems should teachers pay attention to in the teaching of "order and difference"? How to design teaching to help students better understand the essence of difference theory? These are basic and important issues worthy of further study. The new curriculum reform arranges the content of "sequence and difference" in senior high school mathematics curriculum as the third question in elective series 4 for the first time. Therefore, this paper first discusses the necessity of setting the theme of "order and difference" in the new curriculum reform of high school mathematics from four aspects: the requirements of middle school mathematics curriculum reform and development trend, the needs of mathematics discipline itself, the needs of social real life, the requirements of mathematics education and the development of students' personality. Then, in order to explain the necessity of the teaching design of the special topic "Sequence and Difference" in senior high school mathematics, this paper makes an in-depth analysis of the research status and opening status of the special topic after the new curriculum reform in senior high school mathematics. Because the teaching design of "Series and Differences" needs to be based on the actual survey data, this paper selects in-service teachers and high school students to conduct surveys and interviews, and analyzes the survey results. On this basis, combined with the requirements of "Mathematics Curriculum Standards for Ordinary Senior High Schools" for the teaching content of "Series and Difference", this paper analyzes the characteristics of the teaching content setting of this topic from the following aspects: First, the content setting of series and difference should reflect the basic principle of "easy to understand"; Second, the setting of sequence difference content should focus on the essence of mathematics, reflect the connection with reality and consider the development level of students; Third, we should pay attention to creating problem situations in the setting of order and difference content, arouse students' enthusiasm for learning and stimulate their interest in learning; Fourth, the setting of sequence difference content should fully reflect the occurrence and development process of knowledge, and reserve space for cultivating students' exploration spirit and innovation ability; Fifth, the setting of sequence and difference content should pay attention to the internal connection with sequence, derivative and other related content to help students better understand and understand the difference; Sixth, the setting of sequence difference content should pay attention to infiltrating mathematical culture and embodying humanistic spirit; Seven, the setting of sequence and difference content should fully reflect the integration with modern information technology. Then, according to the characteristics of the teaching content setting of "order and difference", the corresponding teaching principles and methods are put forward. Based on the above analysis, the author designs the teaching content, teaching objectives, teaching organization forms, teaching methods, teaching media and teaching evaluation of this topic, and finally gives two teaching cases of "series and differences" topic. This paper is a brand-new attempt of teaching design of "sequence and difference" in senior high school mathematics. The research of this topic aims to make senior high school students broaden their mathematical horizons, enhance their subjective consciousness, continuously develop their initiative and creativity, and promote their personalized and sustainable development. At the same time, I hope to provide some reference opinions and suggestions for the first-line senior high school mathematics teachers, so as to strengthen the communication between teachers and promote mutual improvement.