Área de figuras planas e Teorema de Pick: uma abordagem diferenciada para alunos do 6° ano do Ensino Fundamental

Abstract

The main objective of this work is to introduce students to the 6th grade of elementary school a differentiated approach to the study of plane figures areas and present a new way of performing the areas of measurement: the Pick's Theorem. From a brief history of the area calculation, we conducted a demonstration of the main areas of plane figures worked in elementary school using the concept of equivalence, and extend the study to limited areas by other curves approaching the concept of integral. Then we expose the Pick's Theorem and its demonstration and described the practice developed with students. The activity carried out in the 2nd half of 2013 and 1 / half of 2014 with the volunteer students of the College Math Club Militar de Manaus aimed to develop a major planned skill in the NCP [6] (National Curriculum Standards for Teaching Mathematics): joint scientific and technological knowledge in an interdisciplinary perspective. Explore the deduction of the areas of the full figures using the TANGRAM, providing education in a playful, participatory and argumentative. Introducing Pick's Theorem and apply it in the rough measure of the areas of states and regions of Brazil using maps and graph paper, the concept of working ranges and providing an interdisciplinary activity.