Introdução à programação linear no Ensino Médio utilizando a resolução gráfica

Abstract

The idea of ​​this work was to apply the linear programming content in high school in context and the use of Geogebra and Excel software. In this paper we discuss the methodology of problem solving, from situations involving optimization by linear programming. The study's main objective to describe the approach used in the implementation from these problems. The activities were developed in the second half of 2013, with third-year students of high school, at the Federal Institute of Education, Science and Amazon Technology - Campus Parintins - IFAM and the other with students also the third year of high school, in Analysis Center Foundation, Research and Technological Innovation - FUCAPI in Manaus, thus verifying the real difficulties of the students on the topics covered. Of optimization problems, where several solutions are possible, they aroused the interest and contributed to a more active participation in math classes. From the discussion of these problems and the solutions presented by the students, using the Geogebra software and Excel Solver program were systematized approaches to linear programming, such as graphics solution and the simplex method. This experience showed that there was a greater dedication to the activities of Linear Programming with two variables. Using the graphical method with Geogebra verified the application of the Fundamental Theorem of Linear Programming and better learning of high school students.