This article looks at the problem of developing tutor module intelligent tutoring system with the aim to develop approaches that enable intelligent systems to design the most appropriate sequence for each learner. To make training systems more effective it is necessary to think not only about training content, but also about personalization and adaptation of the training system and training scenarios so that a learner could choose the most acceptable training sequence, i.e. individual training scenario. One of the types of training scenarios in the training systems is through the use of graphs. In the result two graphs are offered - a graph on training programs for acquisition of the whole study program, and a graph on training programs for acquiring a separate course. The article also describes the teaching facilities, learning objects, Learning Object Metadata standards and the Sharable Content Object Reference Model, as well as learning and teaching models.