THE APPLICATION OF THE COMPETENT APPROACH IN STUDYING THE TOPICS «TRAPEZE» AND «FUNCTION AND THEIR PROPERTIES»

Introduction. In connection with progress of science and production society pulls out new requirements to the level of school mathematical education. It predetermines a necessity periodically to modernize maintenance of school course of mathematics – to set a correct betweenness by the theoretical level of exposition of educational material, development of the logical thinking and forming for the students of knowledge and abilities of the applied character. Purpose. To show the features of development of competencies in problems about a trapezoid and functions. Methods. This material is studied in themes «Quadrangles» and «Functions and their properties». Themes are fundamental for a study in future of such divisions of geometry as stereometry, transformation of figures, polygonal, bodies of rotation, and also at the study of derivative, to the integral. There fore in a course algebra 7 classes and this theme will help geometry of 8th classes to improve knowledge of children, in fact theoretical information is straight related to practice. Results. Knowledge of competencies allows to decide problems from plane geometry and algebra without tearing away from practice, developing the logical thinking of students here, personal interest to the study of mathematics. Conclusion. The use of the applied problems on the lessons of mathematics develops interest in the study of object, moves forward efficiency of independent work of students, individualization of process of studies of clarification of way: of evidence of studies, help to education from abstract ideas about mathematical models, deepening independences of study usually and others like that.