Problemas de maximização de área e volume aplicado ao ensino médio

Abstract

Optimization can be understood as the search for a condition that provides the maximum benefit according to some criterion. This theme was chosen to be worked in basic education by presenting the possibility of incorporating abstract thinking in the resolution of practical problems. The subject was approached from the perspective of Differential Calculus and Flat Geometry. Initially we present, briefly, the determination of maximum and minimum functions of two variables. Next, we showed and solved by means of the Calculus the problems elaborated to be given in the basic education. Subsequently, we indicated a differentiated methodology that makes possible the understanding of the proposed theme. In addition to reporting the application of the method in a Youth and Adult Education class, showing, even, the result of a post-test accomplished by the students. In the process of conception the mini-course, we have idealized a problem whose resolution that we found differs from the usual solutions, so we considered convenient to include it in this work.