Marina Zdorovenko

The article presents some methodological recommendations for teaching schoolchildren graphical methods of solving tasks with parameters by means of variable change. The authors, who have great experience of working with schoolchildren, note the main difficulties and typical mistakes in solving such tasks at the final state certification. The article will be interesting for high school students who are going to take the USE in mathematics at the advanced level, for teachers of mathematics working in senior classes, for methodologists.

The article is devoted to the problem of polytechnic education development for 5-8 grades pupils in the aeromodelling circle, the study of the factors that contribute to this development or interfere with it, the search for solutions to problems of improving polytechnic education of adolescents in the system of additional education for children.

The task with parameter is traditionally included in the control materials of the Unified state examination(USE) in mathematics and is evaluated with maximum points. At the same time for various reasons these tasks are devoted very little time in school. The authors who have great experience in checking exam papers show on example of a task, its level of difficulty corresponding with the requirements to such tasks at the examination(USE) in mathematics in recent years, different ways of solving it: analytical (different options), graphical in the system (x;y) and graphical in the system (x;a). Proposed solutions are described in detail with the indication of typical mistakes made by students. The authors give some methodological recommendations which enable to organize teaching of students to solve tasks with parameters more effectively.

The paper is devoted to teaching students different ways to solve problems with parameters for final examination.

The article is devoted to the analysis of typical errors and problems school-nicknames when addressing inequalities in different ways on the final examination in mathematics.