Relação de Euler - Plano de Aula

Plano de Aula
[list][*]Público-Alvo – Alunos do 6º Ano do Ensino Fundamental ou 2º Ano do Ensino Médio.[/*][/list][list][*]Habilidades da BNCC – (EF06MA17) Quantificar e estabelecer relações entre o número de vértices, faces e arestas de prismas e pirâmides, em função do seu polígono da base, para resolver problemas e desenvolver a percepção espacial.[br][/*][/list][list][*]Tempo – 2 tempos de 50 minutos.[/*][/list][br][list][*] Objetivo Geral – Conjecturar a Relação de Euler.[/*][/list][br][list][*]Objetivos Específicos[/*][/list] [br]  Relembrar o conceito de Poliedro;[br]  Relembrar os conceitos de Vértice, Face e Aresta de um Poliedro;[br]  Relembrar as definições de poliedros convexos e não convexos;[br]  Analisar a relação entre o número de vértices, faces e arestas;[br]  Analisar a correlação entre a relação de Euler e os poliedros convexos e não convexos.[br][br][list][*]Conteúdos[/*][/list][br]  Poliedros;[br]  Elementos de um Poliedro;[br]  Poliedro Convexo e Poliedro não Convexo;[br]  Relação de Euler.[br][br][list][*]Recursos Necessários[/*][/list][br]   Projetor Multimídia;[br]   Impressões;[br]  Computadores ou smartphones com o Geogebra 3D;[br]   Internet para baixar as construções ou pendrive com as construções prontas; [br]   Caneta de Quadro Branco;[br]   Apagador;[br]   Quadro Branco;[br][br][list][*]Procedimentos/Resumo da Aula[/*][/list] 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[/img][br][br][list][*]Orientações Pedagógicas[/*][/list]  [br]  Na fase de construção os alunos devem seguir o passo a passo para realizar a construção do prisma e da pirâmide, caso os alunos não estejam familiarizados com o Geogebra 3D o professor pode realizar a construção juntos com os alunos fazendo-a com uma projeção utilizando um projetor multimídia ou na falta deste recurso o professor pode já utilizar a construção pronta que está disponibilizada em no Livro – Atividades de Geometria Espacial. A fase de concepções espontâneas servirá para o professor verificar os conceitos que os alunos já tenham ou não tenham definidos, o professor pode propor um debate com todos os alunos a fim de chegar às definições solicitadas, pois estas serão de extrema importância para a conclusão da atividade. Na fase de perguntas/hipóteses os alunos serão questionados sobre as construções e experimentações que realizarão e a partir destas criarão suas hipóteses que deverão ser experimentadas na fase de experimentação. Com todas as experimentações, indagações e hipóteses testadas, os alunos vão aos poucos conjecturando a definição da Relação de Euler. Caso os alunos tenham dificuldades o professor pode intervir para que o aluno consiga prosseguir na construção do conhecimento ou pode solicitar que um outro aluno que já tenha conseguido auxilie o aluno com dificuldade.

Information: Relação de Euler - Plano de Aula