The paper presents approaches to developing models for the formation of core competencies in science lessons students through project-based learning. The basic stages of the formation of the key competencies of students in teacher activities that include: analysis of regulatory documents to conduct a comprehensive educational assessment, designing the content of educational material, the formation of core competencies in the implementation of the project method. Grounds described in detail a comprehensive educational assessment focused on identifying the educational needs of students, the level of formation of structural components of competencies (knowledge, skills, experience, activities and values), resources of the educational environment. The system of lessons, projects for students 10 - 11th grades, according to an educational Program of main lines (complete) general education in computer science. To the preferred activities for the formation of core competencies in teaching computer science. In order to verify the developed model, an experimental study of the levels of formation of cognitive activity of students. Established that the skills to collect, organize, classify, analyze information, skills to provide information in an accessible, aesthetic form, the ability to express their thoughts, to prove their ideas, ability to work in a group, as a team, ability to work independently, to make choices, to decide on the conditions implementation of the developed models have steadily increased.