Vetores no Plano

• Ano de defesa: 2018
• Autor(a) principal: Folador, Wendel Vangelino da Silva
• Tipo de documento: Dissertação
• Tipo de acesso: Acesso aberto
• Idioma: por
• Instituição de defesa: Universidade Federal do Espírito Santo; BR; Mestrado Profissional em Matemática em Rede Nacional; Centro de Ciências Exatas; UFES; Programa de Pós-Graduação em Matemática em Rede Nacional
• Palavras-chave em Português: Vectors in the plane; Statements using vectors; Vectors in High school; Vetores no plano; Vetores no ensino médio; Demonstrações usando vetores; Matemática; 51
• Link de acesso: http://repositorio.ufes.br/handle/10/7549

The present work aims to talk about the subject Vectors in the plan in a language suitable for a first year high school class. It has been divided into eight chapters for a better understanding of the steps that make it up. The first chapter provides a brief introduction on the reference documents for drawing up teaching plans and highlights the absence of the subject matter in these documents. Next, some definitions about Vectors are presented with the intention of recognizing them as oriented segments, identifying equal vectors and using these concepts in Analytical Geometry. In the following chapter the concept of a Vector Module is presented, the way it is calculated and some examples. The next chapter is devoted to operations with vectors, specifically the addition of two or more vectors and the subtraction of two vectors. In the same chapter there is also the multiplication of a vector by a real number. The fifth chapter deals with the product Climb between two vectors and brings some applications in Physics. The next chapter talks about how to calculate an angle in the Cartesian plane using vectors. There is also a brief chapter on transformations in the plane, specifically on the translation of a figure as a function given by a vector. Finally, in the last chapter some geometric demonstrations are made using the theory presented in previous chapters. It is expected that after reading this work the student will be able to consider the theory presented here to solve problems of Analytical Geometry or to make simple demonstrations using this feature