Princípio de Cavalieri - Plano de Aula

Plano de Aula
[list][*]Público-Alvo – 9º Ano do Ensino Fundamental e 2º Ano do Ensino Médio.[/*][/list][list][*][justify]Habilidades da BNCC - (EF09MA19) Resolver e elaborar problemas que envolvam medidas de volumes de prismas e de cilindros retos, inclusive com uso de expressões de cálculo, em situações cotidianas. (EM13MAT504) Investigar processos de obtenção da medida do volume de prismas, pirâmides, cilindros e cones, incluindo o princípio de Cavalieri, para a obtenção das fórmulas de cálculo da medida do volume dessas figuras.[/justify][/*][/list][list][*]Tempo – 2 tempos de 50 minutos.[/*][/list][br][list][*] Objetivo Geral – Conjecturar o Princípio de Cavalieri.[/*][/list][br][list][*]Objetivos Específicos[/*][/list] [br]  Relembrar os conceitos 1 dimensão, 2 dimensões e 3 dimensões;[br]  Relembrar o conceito de Volume de um sólido geométrico;[br]  Relembrar as definições de prismas, pirâmides, cilindros e cones;[br][br][list][*]Conteúdos[/*][/list][br]  Volume;[br]  Prisma;[br]  Pirâmide;[br]  Cilindro;[br]  Cone;[br]  Princípio de Cavalieri.[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]    [justify] Na fase de construção só é preciso pesquisar a construção que será utilizada, caso os alunos não consigam o professor pode realizar mostrar aos alunos fazendo 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 Investigativas de Geometria Espacial. A fase de concepções espontâneas servirá para o professor verificar os conceitos que os alunos já tenham ou não tenham definidos, necessitam conhecer as definições de volume, prisma, pirâmide, cilindro e cone, 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 percebendo as características que devem estar presentes para que os volumes possuam a mesma medida e assim vão conjecturando o Princípio de Cavalieri. 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.[/justify]

Information: Princípio de Cavalieri - Plano de Aula