This paper first proposes the teaching model of college sports smart classrooms based on an online teaching platform and analyzes its basic structure and teaching process. Secondly, a gray correlation degree model is constructed for the teaching evaluation of the physical education SCT model, and the comparative sequence and reference sequence of the gray system are used to realize the solution of the correlation degree. Finally, the teaching quality evaluation index system of the physical education SCT model was constructed with SD University College of Physical Education, and the effectiveness of the application of physical education SCT model was analyzed. The results showed that the correlation degrees of a teacher teaching, student learning, environmental resources, and curriculum development were 0.317, 0.229, 0.225, and 0.266, respectively, and the physical education SCT model should focus on teaching methods and other aspects of consideration.