The concept of a mathematical model is the main expression of the core quality of mathematics in junior middle school, which runs through all the contents of mathematics teaching in middle school. In the “2022 Compulsory Education Curriculum Standards,” mathematics teaching requires an overall grasp of mathematical ideas. Teachers should pay attention to the model concept of the ideological method of explanation and application in the teaching process, which can improve the teaching ability of teachers and is more conducive to students’ development. The new curriculum reform further improves students’ application awareness in the cultivation of core competencies.