This study analyzes the background of ideological and political theories teaching in operations research courses and provides a design framework for ideological and political theories teaching in operations research courses based on “trinity” according to real teaching practices. This article summarizes the merging point of ideological and political theories teaching in operations research courses, taking ability and knowledge as its carrier and ideological and political theories teaching as its core, as well as discusses four methods of ideological and political theories teaching: online and offline interactive teaching, stimulating independent learning by practical application, seminar-style flipped classroom, and promoting theoretical teaching through competition and scientific research.