Abstract: Taking the teaching of exponential functions as the starting point, this paper explores the integration path of ideological and political education and mathematical core competencies in high school mathematics concept teaching. With the help of origami activities and modern educational technology for vivid demonstrations, students’ interest in exploring the models、concepts and properties of exponential functions is stimulated. By reasonably explaining the domain of definition and the range of base values of exponential functions, students’ understanding of some special mathematical rules is enhanced. During the teaching process, through the use of problem-based learning、mathematical experiments、cooperative exploration and other methods, students’ core competencies such as mathematical modeling、intuitive imagination and data analysis are improved. Meanwhile, with teaching activities and the history of mathematics as carriers, ideological and political elements are cleverly integrated to achieve a deep integration of moral education and mathematical core competencies.