The system of tasks in the teaching of mathematics is defined as a special collection of tasks for ensuring the perception, assimilation and consolidation of the educational topic. It is proposed to distinguish between the system of tasks designed by a teacher for a mathematics lesson and a system of tasks for a group of mathematics classes – thematic systems of math tasks. The methodical skill of the teacher of mathematics in constructing systems of math task is crucial for the effectiveness of the process of learning student’s mathematics. A special system of math tasks designed by the teacher of mathematics, taking into consideration the requirements of integrity, integrality, addiction, methodical expediency and methodological compliance is defined in the article as the main means of developing the skills of mathematical modeling in students of the profile school. A specific example is given