Batalha dos polígonos e teorema de pick: uma proposta de atividade para o ensino de geometria

Abstract

This course completion paper presents a proposal for intervention in the teaching of geometry for teachers of basic education through the activity called Battle of Polygons and Pick's Theorem, which involves the application of a virtual game created in GeoGebra software that resembles the game of battleship. The game consists of using the grid to calculate the area of polygons using the point counting method, the means by which Pick's Theorem uses to calculate the areas of simple polygons. The paper presents a demonstration of Pick's Theorem accessible to basic education teachers as well as the description of the proposed activity for classroom application. At the end of this work there is a brief experience report based on observations made during the development of this application in the Math Clubs project. Despite some difficulties reported during the application, the objectives of the work were partially achieved.