Teorema de Pick: uma abordagem para o cálculo de áreas de polígonos simples através do geoplano e geogebra no ensino fundamental

Abstract

The purpose of this project is Pick’s Theorem, which is about of the calculation of simple polygons with vertices in the points of mesh grid at the plane. The theorem let us to calculate the area using counting, analyzing the points in the edge and the interior of the polygon at the mesh grid. We going to talk about a little bit of Georg Alexander Pick history, beyond the necessary observations to understand the theorem’s demonstration and complexity. At last, we going to show you Pick’s Theorem activities, in the Geoboard and on the GeoGebra software as didactic resources for classroom.