In this paper we introduce a new model which we apply to Discrete Mathematics, but could be applied to other courses as well. The model uses homework, lectures and quizzes. The key factor and design is centered on the quizzes which are given daily. We also discuss how lectures and homework question sessions can be shortened slightly to allow for twenty-five minute quizzes without sacrificing content. The model assumes a course which meets two days a week lecture, each of which is ninety minutes with no recitations. A three hour lecture could also be applied to this model.