The optimal planning problems (selecting the most effective option that would achieve the best result) have found a wide application in various fields of activity. Such problems can be solved using linear programming methods. Currently, linear programming (as a separate discipline or a section of other disciplines) is included in the educational program of secondary vocational education in various specialties. The importance of studying of linear programming by students of economic specialties lies in the fact that students will learn to build the simplest mathematical models, translate practical problems into mathematical language, interpret the obtained result, and evaluate it with practice. A practice-oriented approach plays a special role in linear programming teaching. The primary goal of this approach is to develop in students the skills and abilities of practical work that are in demand today in various areas of social and professional practice. The discipline “Linear Programming” belongs to the variable part of the general professional cycle, and the development of course materials in this discipline is an actual task. We developed the course on linear programming for students of economic specialties studying in educational programs of secondary vocational education, and formalized its work program. Additionally, a bank of tasks was developed, which includes tasks for each topic of the course. The materials of the developed course were tested at the Vladikavkaz College of Finance and Economics in mathematics lessons and as part of a mathematics club. The lessons were held for first-year students studying in the specialty “Information Systems and Programming”. The results of the experiment showed that the proposed course was accessible to understand for the first-year students: the students learned to analyze the text of a problem, interpret it in mathematical language, compose an objective function, find the maximum (minimum) value using graphical and simplex methods, and also find a solution using a spreadsheet add-on. The results of the lessons indicate the effectiveness of the course: students showed a good level of knowledge acquisition.