tag:blogger.com,1999:blog-48636306471414710682024-02-18T20:37:50.045-08:00MATEMATIQUE-SE!Prof. Nelson CoutinhoMatematique-se!http://www.blogger.com/profile/02919559319756769333noreply@blogger.comBlogger145125tag:blogger.com,1999:blog-4863630647141471068.post-8922102886197196562020-01-30T14:34:00.000-08:002020-01-30T14:39:36.533-08:00RESUMO DO EDITAL DE APRENDIZ DE MARINHEIRO<div class="style-scope ytd-expander" id="content" style="background: rgb(249, 249, 249); border: 0px; font-family: Roboto, Arial, sans-serif; font-size: 14px; margin: 0px; min-width: 0px; overflow-wrap: break-word; padding: 0px;">
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<yt-formatted-string class="content style-scope ytd-video-secondary-info-renderer" force-default-style="" split-lines="" style="color: var(--yt-spec-text-primary); white-space: pre-wrap; word-break: break-word;"><span class="style-scope yt-formatted-string" dir="auto" style="background: transparent; border: 0px; margin: 0px; padding: 0px;"><a href="https://youtu.be/mwFutXCaiKk">EDITAL RESUMIDO NESSE LINK</a></span></yt-formatted-string></div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh0_4uzyh1PlI5unOoC-mYAObqr5C8VvXbteR2uQclk2yBeohyphenhyphenM0LrPUJ2uzGyIhwkMzB5czkMd6RMpUsdwsvmd71o7j0ivxGVlRyQoHXQOgr1h64jMs5NaN0ZGNdcYsKp-QwEE0ijoOH0/s1600/WhatsApp+Image+2020-01-30+at+15.56.58.jpeg" imageanchor="1" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"><img border="0" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh0_4uzyh1PlI5unOoC-mYAObqr5C8VvXbteR2uQclk2yBeohyphenhyphenM0LrPUJ2uzGyIhwkMzB5czkMd6RMpUsdwsvmd71o7j0ivxGVlRyQoHXQOgr1h64jMs5NaN0ZGNdcYsKp-QwEE0ijoOH0/s320/WhatsApp+Image+2020-01-30+at+15.56.58.jpeg" width="320" /></a></div>
<div class="style-scope ytd-video-secondary-info-renderer" id="description" slot="content" style="background: transparent; border: 0px; margin: 0px; max-width: 615px; padding: 0px;">
<yt-formatted-string class="content style-scope ytd-video-secondary-info-renderer" force-default-style="" split-lines="" style="color: var(--yt-spec-text-primary); white-space: pre-wrap; word-break: break-word;"><span class="style-scope yt-formatted-string" dir="auto" style="background: transparent; border: 0px; margin: 0px; padding: 0px;">Antes de iniciar seu caminho para a aprovação, é fundamental que você candidato faça um estudo do edital do concurso.
O resumo do edital servirá de orientação para seu plano de estudos, para o estabelecimento de metas inteligentes e norteará sua preparação.
Nesse vídeo, fiz um resumo do edital do Concurso de aprendiz de Marinheiro para ajudar os candidatos.
O próximo vídeo será o resumo do edital de Soldado Fuzileiro Naval.
Siga o Matematique-se no Facebook e no Instagram e acompanhe as correções de questões de prova todas as semanas gratuitamente.
Facebook: </span><a class="yt-simple-endpoint style-scope yt-formatted-string" dir="auto" href="https://www.youtube.com/redirect?v=mwFutXCaiKk&event=video_description&redir_token=XrLCll_Rrbxl84XBl1NjcwxGeRd8MTU4MDUwOTA1NUAxNTgwNDIyNjU1&q=https%3A%2F%2Fwww.facebook.com%2Fmatematiquese%2F%3Fref%3Dsettings" rel="nofollow" spellcheck="false" style="cursor: pointer; display: inline-block; text-decoration-line: none;" target="_blank">https://www.facebook.com/matematiques...</a><span class="style-scope yt-formatted-string" dir="auto" style="background: transparent; border: 0px; margin: 0px; padding: 0px;">
Instagram: </span><a class="yt-simple-endpoint style-scope yt-formatted-string" dir="auto" href="https://www.youtube.com/redirect?v=mwFutXCaiKk&event=video_description&redir_token=XrLCll_Rrbxl84XBl1NjcwxGeRd8MTU4MDUwOTA1NUAxNTgwNDIyNjU1&q=https%3A%2F%2Fwww.instagram.com%2Finvites%2Fcontact%2F%3Fi%3D1o8l1kbciipqp%26utm_content%3D9i9shpx" rel="nofollow" spellcheck="false" style="cursor: pointer; display: inline-block; text-decoration-line: none;" target="_blank">https://www.instagram.com/invites/con...</a><span class="style-scope yt-formatted-string" dir="auto" style="background: transparent; border: 0px; margin: 0px; padding: 0px;">
Inscrições: </span><a class="yt-simple-endpoint style-scope yt-formatted-string" dir="auto" href="https://www.youtube.com/redirect?v=mwFutXCaiKk&event=video_description&redir_token=XrLCll_Rrbxl84XBl1NjcwxGeRd8MTU4MDUwOTA1NUAxNTgwNDIyNjU1&q=https%3A%2F%2Fwww.inscricao.marinha.mil.br%2Fmarinha%2Findex_concursos.jsp%3Fid_concurso%3D384" rel="nofollow" spellcheck="false" style="cursor: pointer; display: inline-block; text-decoration-line: none;" target="_blank">https://www.inscricao.marinha.mil.br/...</a><span class="style-scope yt-formatted-string" dir="auto" style="background: transparent; border: 0px; margin: 0px; padding: 0px;">
Vídeos relacionados:
Tudo sobre o Colégio Naval: </span><a class="yt-simple-endpoint style-scope yt-formatted-string" dir="auto" href="https://www.youtube.com/watch?v=14_dTSeXDbU" spellcheck="false" style="cursor: pointer; display: inline-block; text-decoration-line: none;">https://youtu.be/14_dTSeXDbU</a><span class="style-scope yt-formatted-string" dir="auto" style="background: transparent; border: 0px; margin: 0px; padding: 0px;">
Tudo sobre o Colégio Pedro II: </span><a class="yt-simple-endpoint style-scope yt-formatted-string" dir="auto" href="https://www.youtube.com/watch?v=6WNHh4zL5nI" spellcheck="false" style="cursor: pointer; display: inline-block; text-decoration-line: none;">https://youtu.be/6WNHh4zL5nI</a><span class="style-scope yt-formatted-string" dir="auto" style="background: transparent; border: 0px; margin: 0px; padding: 0px;">
Tudo sobre a Escola Sesc: </span><a class="yt-simple-endpoint style-scope yt-formatted-string" dir="auto" href="https://www.youtube.com/watch?v=4jQC2wSyNiI" spellcheck="false" style="cursor: pointer; display: inline-block; text-decoration-line: none;">https://youtu.be/4jQC2wSyNiI</a></yt-formatted-string></div>
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Matematique-se!http://www.blogger.com/profile/02919559319756769333noreply@blogger.com0tag:blogger.com,1999:blog-4863630647141471068.post-52794158692726240412020-01-06T13:55:00.000-08:002020-01-06T14:23:30.080-08:00CONCURSO PARA GARI DE NITERÓI<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh0WLHkWdbZnpzOwQqkLWIrZQyNtu0l2bt2CT2DANxrrY2VsjzG64lRdRMC2B4XSD_NE5Sri8nP-JUVYG2bsTWoIY9getZnlS6ih9mNMDW_2gOBp9Atn9_HZVYq7fupxL3vu4nQvrALl0s/s1600/WhatsApp+Image+2020-01-06+at+18.19.24.jpeg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1122" data-original-width="793" height="640" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh0WLHkWdbZnpzOwQqkLWIrZQyNtu0l2bt2CT2DANxrrY2VsjzG64lRdRMC2B4XSD_NE5Sri8nP-JUVYG2bsTWoIY9getZnlS6ih9mNMDW_2gOBp9Atn9_HZVYq7fupxL3vu4nQvrALl0s/s640/WhatsApp+Image+2020-01-06+at+18.19.24.jpeg" width="451" /></a></div>
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<br />
<br />
Mais uma excelente oportunidade para quem deseja uma vaga como funcionário público.<br />
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Divulgado o edital para GARI de Niterói, além de outros cargos.<br />
<br />
<span style="color: red;"><b><u>CONFIRA:</u> <a href="https://drive.google.com/file/d/1v-8NwhgRJz9LVh5xuLxnBaSqnPhsBVri/view?usp=sharing">EDITAL COMPLETO</a></b></span><br />
<br />
<b>NÍVEL FUNDAMENTAL</b> até o 5º ano (antiga 4ª série)<br />
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Salário de R$2290,24, já com adicionais.<br />
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Inscrições de 10 de janeiro à 9 de fevereiro no site <a href="https://selecon.com.br/concursos/edital-clin-01-2020/"><b>FAÇA SUA INSCRIÇÃO</b></a> , valor R$ 40,00.<br />
<br />
Data prevista para a prova dia 8 de março<br />
<span style="color: red;"><b><u><br /></u></b></span>
<span style="color: red;"><b><u>INICIE IMEDIATAMENTE SEUS ESTUDOS</u> </b></span><br />
↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓<br />
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<span style="color: blue;"><u><b>TURMAS AOS SÁBADOS</b></u></span><br />
<br />
Horário: 9h às 17h<br />
<br />
Carga horária: 42 horas<br />
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Valor único: 180,00<br />
<br />
<span style="color: blue;"><u><b>TURMAS SEMANAIS</b></u></span><br />
<b><br /></b>
<span style="color: blue;"><u><b>NOITE</b></u></span><br />
<span style="color: blue;"><u><b><br /></b></u></span>
Horário: 18h às 21h<br />
<br />
Turma 1: Segundas e quartas<br />
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<span style="color: red;"><b>Início: 13 de janeiro (previsão)</b></span><br />
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Turma 2: Terças e quintas<br />
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<span style="color: red;"><b>Início: 14 de janeiro (previsão)</b></span><br />
<span style="color: red;"><b><br /></b></span>
Valor único: 250,00<br />
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<span style="color: blue;"><u><b>MANHÃ</b></u></span><br />
<span style="color: blue;"><u><b><br /></b></u></span>
Horário: 9h às 12h<br />
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Turma 3: Segundas e quartas<br />
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<span style="color: red;"><b>Início: 13 de janeiro (previsão)</b></span><br />
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Turma 4: Terças e quintas<br />
<br />
<span style="color: red;"><b>Início: 14 de janeiro (previsão)</b></span><br />
<span style="color: red;"><b><br /></b></span>
Valor único: 250,00<br />
<br />
<u><b>CONTEÚDO PROGRAMÁTICO</b></u><br />
<u><b><br /></b></u>
<br />
<ul>
<li>Língua Portuguesa:
Compreensão de texto. Sinônimos e antônimos. Frases (afirmativa, negativa, exclamativa, interrogativa). Noções de
número: singular e plural. Noções de gênero: masculino e feminino. Concordância do adjetivo com o substantivo e do
verbo com o substantivo e com o pronome. Pronomes pessoais e possessivos. Verbos ser, ter e verbos regulares.
Reconhecimento de frases corretas e incorretas. </li>
</ul>
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<br />
<ul>
<li>Raciocínio Lógico/Matemática:
Operações com números naturais e fracionários: adição, subtração, multiplicação e divisão. Sistemas de medidas: tempo,
comprimento, capacidade, massa, quantidade. Resolução de situações-problema.</li>
</ul>
<ul>
<li>Conhecimentos Gerais do Município de Niterói
Turismo, história, formação administrativa, informações socioeconômicas e dados estatísticos do Município</li>
</ul>
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<br />Matematique-se!http://www.blogger.com/profile/02919559319756769333noreply@blogger.com0tag:blogger.com,1999:blog-4863630647141471068.post-28096992045403215952020-01-04T15:45:00.001-08:002020-02-07T16:50:21.990-08:00CONCURSOS EDUCAÇÃO ITAGUAÍ (EDUCAÇÃO INFANTIL)O ano de 2020 já começa com excelentes oportunidades na área da educação.<br />
<br />
O concurso para a Educação da Prefeitura de Itaguaí já tem edital publicado com 424 vagas para a EDUCAÇÃO INFANTIL, com salários de R$ 1803,84, sob um regime de 25 horas semanais de trabalho. O período de inscrições será de 14/02 a 17/03/2020.<br />
<br />
A prova objetiva acontecerá no dia 19 de abril e conterá 10 questões de Português, 10 questões de MATEMÁTICA, 16 questões de Conhecimentos Específicos e 4 questões de Informática.<br />
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O conteúdo programático de Matemática certamente será um grande obstáculo para os candidatos. Trata-se de um conteúdo extenso e complexo para o cargo em questão. Portanto os candidatos deverão ter atenção especial à disciplina.<br />
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CONFIRA O EDITAL DO CONCURSO: <a href="https://drive.google.com/open?id=151xQQ1CV0XZdvTgHd0LrlY2JH3NYBed0">EDITAL</a><br />
<br />
Elaborei um curso presencial para ajudá-los na conquista da sonhada vaga no funcionalismo público.<br />
( Em breve, disponibilizarei um curso completo em PDF e videoaulas)<br />
<br />
<span style="color: red;"><span style="font-size: large;">Confira:</span> → <a href="https://youtu.be/CcQoWKyQVG8">CURSO MATEMATIQUE-SE!</a></span><br />
<b><span style="color: red;"><u><br /></u></span></b><b><span style="color: blue;"><u> MATEMÁTICA PARA PROFESSOR DA EDUCAÇÃO INFANTIL</u></span></b><br />
<br />
Carga horária:24 horas (8 SÁBADOS)<br />
Horário: 9h às 12h<br />
Sábados (Início DIA 15 DE MARÇO)<br />
Material gratuito PDF<br />
Valor único: R$ 200,00 ou 2x de R$ 120,00<br />
<br />
Contato: 21 964211753<br />
<br />
Local: PEDRA DE GUARATIBA<br />
<span style="color: red;"><br /></span><i style="color: red;">*Mínimo de 8 alunos para confirmação da turma e máximo de 15 alunos.</i><br />
<span style="color: red;"><i>**Para reservar sua vaga, é necessário o pagamento de no mínimo 20% do valor do curso como sinal. Caso não aconteça a turma, o valor será restituído.</i></span><br />
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Segue o link do último edital<br />
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<br />Matematique-se!http://www.blogger.com/profile/02919559319756769333noreply@blogger.com0tag:blogger.com,1999:blog-4863630647141471068.post-14024258168869290292019-12-31T07:30:00.002-08:002019-12-31T07:30:14.156-08:00QUE VENHA 2020!<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhxecrFA2WEgJzQOJXtPZQx0LAd4LNyrrxVZx8r7o5cpqMmT749MEns-coCqsKZxOwSqfmGL5XQGtwOEYy8V9KFDFyd67YT1EdryaMKmYf3AmhMlxE1RY9mCGX4odIS7H7y9l8qFnuqDKg/s1600/75380266_1513920325414550_7793232091465908224_o.jpg" imageanchor="1" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"><img border="0" data-original-height="960" data-original-width="467" height="320" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhxecrFA2WEgJzQOJXtPZQx0LAd4LNyrrxVZx8r7o5cpqMmT749MEns-coCqsKZxOwSqfmGL5XQGtwOEYy8V9KFDFyd67YT1EdryaMKmYf3AmhMlxE1RY9mCGX4odIS7H7y9l8qFnuqDKg/s320/75380266_1513920325414550_7793232091465908224_o.jpg" width="155" /></a></div>
<span style="font-family: Georgia, Times New Roman, serif; font-size: large;"><i>Apesar das dificuldades, 2019 foi cheio de realizações! </i></span><br />
<span style="font-family: Georgia, Times New Roman, serif; font-size: large;"><i>Apenas uma pequena amostra desse ano que acaba. </i></span><br />
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<br />Matematique-se!http://www.blogger.com/profile/02919559319756769333noreply@blogger.com0tag:blogger.com,1999:blog-4863630647141471068.post-19874471611485808772019-12-29T16:28:00.000-08:002019-12-29T16:28:45.488-08:00MATEMATIQUE-SE! ACOMPANHAMENTO PEDAGÓGICO ESPECIALIZADO<div class="separator" style="clear: both; text-align: center;">
<span style="font-family: "arial" , "helvetica" , sans-serif;"><span style="color: red;">CONFIRA O VÍDEO EXPLICATIVO</span>:<a href="https://youtu.be/CcQoWKyQVG8">https://youtu.be/CcQoWKyQVG8</a></span></div>
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<br />Matematique-se!http://www.blogger.com/profile/02919559319756769333noreply@blogger.com0tag:blogger.com,1999:blog-4863630647141471068.post-27084088480000625272019-09-14T09:47:00.004-07:002019-09-14T09:47:44.571-07:00AULÃO UERJBoa prova Guerreiros e Guerreiras Spartanos!<br />
É sempre uma honra lutar com vocês!<br />
Segue o link do material: <a href="https://drive.google.com/file/d/1-mECSR7zGuxB2IlXuKEeD10DOV6b4Vud/view?usp=sharing">AULÃO UERJ</a><br />
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<br />Matematique-se!http://www.blogger.com/profile/02919559319756769333noreply@blogger.com0tag:blogger.com,1999:blog-4863630647141471068.post-59265983256262953012019-09-04T14:31:00.002-07:002019-09-04T14:31:56.363-07:00CRITÉRIOS DE DIVISIBILIDADEOlá galera!<br />
<br />
Confiram essa paródia para entendermos melhor os critérios de divisibilidade. Vale a pena!<br />
<br />
<a href="https://drive.google.com/file/d/1_mGAYKdix_pPz1Y4xhVCPxsChwrCkVYB/view?usp=sharing">CRITÉRIOS DE DIVISIBILIDADE</a>Matematique-se!http://www.blogger.com/profile/02919559319756769333noreply@blogger.com0tag:blogger.com,1999:blog-4863630647141471068.post-59641674496665539822019-08-27T12:03:00.002-07:002019-08-27T12:03:58.300-07:00LISTA DE EXERCÍCIOS DE PRODUTOS NOTÁVEISSegue o link para download de produtos notáveis para a galera da E. M. Dr. Ciraudo.<br />
Um grande abraço<br />
<br />
LINK: <a href="https://drive.google.com/file/d/1EsdWPsYtZGCCK67E0SL1-UwsOe7MRf0t/view?usp=sharing">PRODUTOS NOTÁVEIS</a>Matematique-se!http://www.blogger.com/profile/02919559319756769333noreply@blogger.com0tag:blogger.com,1999:blog-4863630647141471068.post-49815640200218780092019-08-25T12:23:00.001-07:002019-08-25T12:28:30.653-07:00GUARATIBA TAMBÉM É NOSSA!<span style="background-color: white; color: #1c1e21; font-family: "helvetica" , "arial" , sans-serif; font-size: 14px;">"GUARATIBA TAMBÉM É NOSSA!"</span><br />
<span style="background-color: white; color: #1c1e21; font-family: "helvetica" , "arial" , sans-serif; font-size: 14px;">Muitas vezes nos esquecemos que também fazemos parte desse imenso país e que também somos responsáveis pelo que acontece ao nosso redor. </span><span class="_5mfr" style="background-color: white; color: #1c1e21; font-family: "helvetica" , "arial" , sans-serif; font-size: 14px; margin: 0px 1px;"><span class="_6qdm" style="background-image: url("https://www.facebook.com/images/emoji.php/v9/t9/1/16/1f1e7_1f1f7.png"); background-repeat: no-repeat; background-size: contain; color: transparent; display: inline-block; font-family: inherit; font-size: 16px; height: 16px; text-shadow: none; vertical-align: text-bottom; width: 16px;">🇧🇷</span></span><br />
<span style="background-color: white; color: #1c1e21; font-family: "helvetica" , "arial" , sans-serif; font-size: 14px;">A preservação e o cuidado com o ambiente em que vivemos são fundamentais, principalmente quando vivemos em uma área de natureza rica e legado natural valiosos.</span><span class="_5mfr" style="background-color: white; color: #1c1e21; font-family: "helvetica" , "arial" , sans-serif; font-size: 14px; margin: 0px 1px;"><span class="_6qdm" style="background-image: url("https://www.facebook.com/images/emoji.php/v9/t3e/1/16/1f98e.png"); background-repeat: no-repeat; background-size: contain; color: transparent; display: inline-block; font-family: inherit; font-size: 16px; height: 16px; text-shadow: none; vertical-align: text-bottom; width: 16px;">🦎</span></span><span class="_5mfr" style="background-color: white; color: #1c1e21; font-family: "helvetica" , "arial" , sans-serif; font-size: 14px; margin: 0px 1px;"><span class="_6qdm" style="background-image: url("https://www.facebook.com/images/emoji.php/v9/t21/1/16/1f41f.png"); background-repeat: no-repeat; background-size: contain; color: transparent; display: inline-block; font-family: inherit; font-size: 16px; height: 16px; text-shadow: none; vertical-align: text-bottom; width: 16px;">🐟</span></span><span class="_5mfr" style="background-color: white; color: #1c1e21; font-family: "helvetica" , "arial" , sans-serif; font-size: 14px; margin: 0px 1px;"><span class="_6qdm" style="background-image: url("https://www.facebook.com/images/emoji.php/v9/t28/1/16/1f990.png"); background-repeat: no-repeat; background-size: contain; color: transparent; display: inline-block; font-family: inherit; font-size: 16px; height: 16px; text-shadow: none; vertical-align: text-bottom; width: 16px;">🦐</span></span><span class="_5mfr" style="background-color: white; color: #1c1e21; font-family: "helvetica" , "arial" , sans-serif; font-size: 14px; margin: 0px 1px;"><span class="_6qdm" style="background-image: url("https://www.facebook.com/images/emoji.php/v9/tbb/1/16/1f98b.png"); background-repeat: no-repeat; background-size: contain; color: transparent; display: inline-block; font-family: inherit; font-size: 16px; height: 16px; text-shadow: none; vertical-align: text-bottom; width: 16px;">🦋</span></span><span class="_5mfr" style="background-color: white; color: #1c1e21; font-family: "helvetica" , "arial" , sans-serif; font-size: 14px; margin: 0px 1px;"><span class="_6qdm" style="background-image: url("https://www.facebook.com/images/emoji.php/v9/t1d/1/16/1f41b.png"); background-repeat: no-repeat; background-size: contain; color: transparent; display: inline-block; font-family: inherit; font-size: 16px; height: 16px; text-shadow: none; vertical-align: text-bottom; width: 16px;">🐛</span></span><span class="_5mfr" style="background-color: white; color: #1c1e21; font-family: "helvetica" , "arial" , sans-serif; font-size: 14px; margin: 0px 1px;"><span class="_6qdm" style="background-image: url("https://www.facebook.com/images/emoji.php/v9/t3f/1/16/1f30d.png"); background-repeat: no-repeat; background-size: contain; color: transparent; display: inline-block; font-family: inherit; font-size: 16px; height: 16px; text-shadow: none; vertical-align: text-bottom; width: 16px;">🌍</span></span><span class="_5mfr" style="background-color: white; color: #1c1e21; font-family: "helvetica" , "arial" , sans-serif; font-size: 14px; margin: 0px 1px;"><span class="_6qdm" style="background-image: url("https://www.facebook.com/images/emoji.php/v9/tbc/1/16/1f30a.png"); background-repeat: no-repeat; background-size: contain; color: transparent; display: inline-block; font-family: inherit; font-size: 16px; height: 16px; text-shadow: none; vertical-align: text-bottom; width: 16px;">🌊</span></span><span class="_5mfr" style="background-color: white; color: #1c1e21; font-family: "helvetica" , "arial" , sans-serif; font-size: 14px; margin: 0px 1px;"><span class="_6qdm" style="background-image: url("https://www.facebook.com/images/emoji.php/v9/t1e/1/16/1f33f.png"); background-repeat: no-repeat; background-size: contain; color: transparent; display: inline-block; font-family: inherit; font-size: 16px; height: 16px; text-shadow: none; vertical-align: text-bottom; width: 16px;">🌿</span></span><span class="_5mfr" style="background-color: white; color: #1c1e21; font-family: "helvetica" , "arial" , sans-serif; font-size: 14px; margin: 0px 1px;"><span class="_6qdm" style="background-image: url("https://www.facebook.com/images/emoji.php/v9/t6b/1/16/1f333.png"); background-repeat: no-repeat; background-size: contain; color: transparent; display: inline-block; font-family: inherit; font-size: 16px; height: 16px; text-shadow: none; vertical-align: text-bottom; width: 16px;">🌳</span></span><br />
<span style="background-color: white; color: #1c1e21; font-family: "helvetica" , "arial" , sans-serif; font-size: 14px;">Façamos a nossa parte!</span><br />
<span style="background-color: white; color: #1c1e21; font-family: "helvetica" , "arial" , sans-serif; font-size: 14px;">No próximo feriado de Independência, liberte-se da preguiça e da procrastinação e junte-se a nós nesse mutirão de limpez</span><span class="text_exposed_show" style="background-color: white; color: #1c1e21; display: inline; font-family: "helvetica" , "arial" , sans-serif; font-size: 14px;">a da nossa orla e conscientização da importância da sustentabilidade e da preservação ambiental.<br />Nosso evento começará às 8:30h no Curso Sparta com um delicioso café da manhã patrocinado pela Padaria Pedra.Pão, incentivadora do evento, e um bate-papo com as Biólogas Gabrielle Rodrigues e Mércia Bezerra sobre o tema, muito relevante para os concursos.<br />Em seguida iniciaremos nossa caminhada coletiva recolhendo o lixo jogado em local indevido até a região da orla da Pedra de Guaratiba.<br />Por fim, transformaremos parte do lixo recolhido em um jardim/horta suspensos no Curso Sparta, trabalhando conceitos e dicas importantes para a multiplicação da sustentabilidade em seus lares.<br />Para participar, basta confirmar a presença no evento do facebook<span class="_5mfr" style="font-family: inherit; margin: 0px 1px;"><span class="_6qdm" style="background-image: url("https://www.facebook.com/images/emoji.php/v9/t4f/1/16/1f447.png"); background-repeat: no-repeat; background-size: contain; color: transparent; display: inline-block; font-family: inherit; font-size: 16px; height: 16px; text-shadow: none; vertical-align: text-bottom; width: 16px;">👇</span></span><span class="_5mfr" style="font-family: inherit; margin: 0px 1px;"><span class="_6qdm" style="background-image: url("https://www.facebook.com/images/emoji.php/v9/t4f/1/16/1f447.png"); background-repeat: no-repeat; background-size: contain; color: transparent; display: inline-block; font-family: inherit; font-size: 16px; height: 16px; text-shadow: none; vertical-align: text-bottom; width: 16px;">👇</span></span><span class="_5mfr" style="font-family: inherit; margin: 0px 1px;"><span class="_6qdm" style="background-image: url("https://www.facebook.com/images/emoji.php/v9/t4f/1/16/1f447.png"); background-repeat: no-repeat; background-size: contain; color: transparent; display: inline-block; font-family: inherit; font-size: 16px; height: 16px; text-shadow: none; vertical-align: text-bottom; width: 16px;">👇</span></span><span class="_5mfr" style="font-family: inherit; margin: 0px 1px;"><span class="_6qdm" style="background-image: url("https://www.facebook.com/images/emoji.php/v9/t4f/1/16/1f447.png"); background-repeat: no-repeat; background-size: contain; color: transparent; display: inline-block; font-family: inherit; font-size: 16px; height: 16px; text-shadow: none; vertical-align: text-bottom; width: 16px;">👇</span></span><span class="_5mfr" style="font-family: inherit; margin: 0px 1px;"><span class="_6qdm" style="background-image: url("https://www.facebook.com/images/emoji.php/v9/t4f/1/16/1f447.png"); background-repeat: no-repeat; background-size: contain; color: transparent; display: inline-block; font-family: inherit; font-size: 16px; height: 16px; text-shadow: none; vertical-align: text-bottom; width: 16px;">👇</span></span><span class="_5mfr" style="font-family: inherit; margin: 0px 1px;"><span class="_6qdm" style="background-image: url("https://www.facebook.com/images/emoji.php/v9/t4f/1/16/1f447.png"); background-repeat: no-repeat; background-size: contain; color: transparent; display: inline-block; font-family: inherit; font-size: 16px; height: 16px; text-shadow: none; vertical-align: text-bottom; width: 16px;">👇</span></span> (<a class="profileLink" data-hovercard-prefer-more-content-show="1" data-hovercard="/ajax/hovercard/event.php?id=595286734334706&extragetparams=%7B%22source%22%3A3%2C%22source_newsfeed_story_type%22%3A%22regular%22%2C%22action_history%22%3A%22%5B%7B%5C%22surface%5C%22%3A%5C%22newsfeed%5C%22%2C%5C%22mechanism%5C%22%3A%5C%22feed_story%5C%22%2C%5C%22extra_data%5C%22%3A%5B%5D%7D%5D%22%2C%22has_source%22%3Atrue%2C%22__tn__%22%3A%22%2CdK-R-R%22%2C%22eid%22%3A%22ARBWNx1HOs5yMi1o8-zyC4IXLqC2RLzIVuLHiqgtM3K-_NLWn2-oaKuYunhKaVZDY0pkZy0gUt3f1D95%22%2C%22fref%22%3A%22mentions%22%7D" href="https://www.facebook.com/events/595286734334706/?acontext=%7B%22source%22%3A3%2C%22source_newsfeed_story_type%22%3A%22regular%22%2C%22action_history%22%3A%22%5B%7B%5C%22surface%5C%22%3A%5C%22newsfeed%5C%22%2C%5C%22mechanism%5C%22%3A%5C%22feed_story%5C%22%2C%5C%22extra_data%5C%22%3A%5B%5D%7D%5D%22%2C%22has_source%22%3Atrue%7D&source=3&source_newsfeed_story_type=regular&action_history=%5B%7B%22surface%22%3A%22newsfeed%22%2C%22mechanism%22%3A%22feed_story%22%2C%22extra_data%22%3A%5B%5D%7D%5D&has_source=1&__tn__=K-R&eid=ARBWNx1HOs5yMi1o8-zyC4IXLqC2RLzIVuLHiqgtM3K-_NLWn2-oaKuYunhKaVZDY0pkZy0gUt3f1D95&fref=mentions&__xts__%5B0%5D=68.ARDdOjW_SG7pNfXypBlOQo6IOD3pP9Vmb5mjzaqcpfhMauPdNyC8ZnNjMG4T7JebtNLahWWon9JWFyHSYvzhd_jmn_NfrIZ1KbLYsz-9EZw5aqDMWQyly3EeL9iVdsdSvcOwqvmS-cD93MwRqh0Ott5Ykr9zo_2hzzeB9jCS3VvY2S5wOYKwE44-nnG3vNRXpzppYUt-WeP5nNAVxoO_ipMYID2pEBnPYi45UOaGa7VIW040v8gdu-H4uLqS_Asr-E2WmYwpRoKQjQcBdYYkT2HgSdzpMXFbdLzQKxzaTRh0ECcqeTuo6CrSXuoKroGJxavKS-_MAr95qVp4ShAjVR2Sfft1WlDJhqAAq_uPk1v7cylZx0HCOhiVo9mJbJ8-96vmGUKfqMa_B3vVtKrdTJzzYMOHB42hzy9zenkCE88p9LE" style="color: #385898; cursor: pointer; font-family: inherit; text-decoration-line: none;">https://www.facebook.com/events/595286734334706/?ti=as</a>)<br />e doar, no dia 7 de setembro, uma muda ou sementes para o plantio do jardim/horta.<br />Contamos com a sua presença no nosso evento!</span><br />
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Matematique-se!http://www.blogger.com/profile/02919559319756769333noreply@blogger.com0tag:blogger.com,1999:blog-4863630647141471068.post-79243954883253681692019-08-01T11:13:00.002-07:002019-08-01T11:13:39.680-07:00MEU CANAL NO YOU TUBEOlá amigos do blogger!<br />
Reativei recentemente meu canal no YouTube com conteúdos voltados para a educação de maneira geral. Lá vocês encontrarão: informações sobre concursos, correções de questões, vídeoaulas, curiosidades e bizus, ..., enfim, muita coisa interessante.<br />
É só se inscrever no canal e acionar o sino para receber todas as novidades!<br />
Espero vocês lá!<br />
Segue o link: <a href="https://www.youtube.com/channel/UCLUyNs5ETX_tK-mB-8MfNKw?view_as=subscriber">https://www.youtube.com/channel/UCLUyNs5ETX_tK-mB-8MfNKw?view_as=subscriber</a><br />
AbraçoMatematique-se!http://www.blogger.com/profile/02919559319756769333noreply@blogger.com0tag:blogger.com,1999:blog-4863630647141471068.post-83185075990498905592019-05-31T06:55:00.000-07:002019-05-31T06:56:00.952-07:00O RETORNO DO JEDI! Olá caríssimos e caríssimas!<br />
Estive ausente por conta do meu curso Preparatório, mas estou retornando cheio de gás para minhas postagens sobre os trabalhos com a Matemática, curiosidades, dicas, soluções de questões e outras coisas mais. AbraçoMatematique-se!http://www.blogger.com/profile/02919559319756769333noreply@blogger.com0tag:blogger.com,1999:blog-4863630647141471068.post-31016698587161322512017-09-18T05:28:00.000-07:002019-09-15T17:09:57.703-07:00DICAS SOBRE CONCURSOS MILITARESPara você que pretende ingressar no militarismo, seguem algumas dicas:<br />
<a href="https://youtu.be/GPI1R_dlkRU">CARREIRAS MILITARES</a>Matematique-se!http://www.blogger.com/profile/02919559319756769333noreply@blogger.com0tag:blogger.com,1999:blog-4863630647141471068.post-12038054165852990142017-03-09T05:13:00.001-08:002017-03-13T05:13:00.385-07:00PROJETO: PROTAGONISMO JUVENIL<div class="_5pbx userContent" data-ft="{"tn":"K"}" id="js_tk" style="background-color: white; color: #1d2129; font-family: Helvetica, Arial, sans-serif; font-size: 14px; line-height: 1.38;">
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Voltando às publicações, compartilho a grata experiência no Ginásio Jorge Luiz Itaboraí como mediador e divulgador do conceito de Protagonismo Juvenil. Agradeço às ilustres presenças e contribuições dos ex alunos Raíssa , Julia Leite, Pamela Fonseca e Patrick Luiz que replicaram suas experiências como jovens protagonistas no dia 17 de fevereiro.</div>
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E no dia 22 de fevereiro, mais uma brilhante participação e contribuição desse grupo maravilhoso de ex alunos do GEC Princesa Isabel. Muito obrigado <a class="profileLink" data-hovercard-prefer-more-content-show="1" data-hovercard="/ajax/hovercard/user.php?id=100002092201274" href="https://www.facebook.com/julia.leite.543" style="color: #365899; cursor: pointer; text-decoration: none;">Julia Leite</a>, Gabriela, <a class="profileLink" data-hovercard-prefer-more-content-show="1" data-hovercard="/ajax/hovercard/user.php?id=100002659878615" href="https://www.facebook.com/raphads.santos" style="color: #365899; cursor: pointer; text-decoration: none;">Raphael Santos</a> e <a class="profileLink" data-hovercard-prefer-more-content-show="1" data-hovercard="/ajax/hovercard/user.php?id=100002393721977" href="https://www.facebook.com/patrick.luiz.948" style="color: #365899; cursor: pointer; text-decoration: none;">Patrick Luiz</a>. <a class="_58cn" data-ft="{"tn":"*N","type":104}" href="https://www.facebook.com/hashtag/protagonismojuvenil?source=feed_text&story_id=586975458161733" style="color: #365899; cursor: pointer; text-decoration: none;"><span class="_5afx" style="direction: ltr; font-family: inherit;"><span aria-label="hashtag" class="_58cl _5afz" style="color: #4267b2; font-family: inherit; unicode-bidi: isolate;">#</span><span class="_58cm" style="font-family: inherit;">protagonismojuvenil</span></span></a></div>
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Matematique-se!http://www.blogger.com/profile/02919559319756769333noreply@blogger.com0tag:blogger.com,1999:blog-4863630647141471068.post-81995650532343154622016-10-19T13:44:00.001-07:002016-10-19T13:44:49.337-07:00MÓDULO DE RECICLAGEM EM MATEMÁTICA BÁSICA<div class="separator" style="clear: both; text-align: center;">
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<br />Matematique-se!http://www.blogger.com/profile/02919559319756769333noreply@blogger.com0tag:blogger.com,1999:blog-4863630647141471068.post-74229893728817149472016-05-17T07:55:00.000-07:002016-05-18T04:38:02.579-07:00UNIDADES DE MEDIDA DE TEMPO ( AMPULHETA - 6ºANO)<span style="font-family: "times" , "times new roman" , serif;">Desde o início da humanidade, o homem tenta controlar o tempo. Ao longo da história, várias unidades de medidas foram criadas por civilizações diferentes e muitos foram os instrumentos utilizados na tentativa de "capturar" o tempo. m deles foi a <i style="font-weight: bold;">ampulheta</i> . </span><br />
<span style="font-family: "times" , "times new roman" , serif;"><br /></span>
<span style="font-family: "times" , "times new roman" , serif;">Também conhecido por relógio de areia, a sua invenção é atribuída a um monge de Chartres, de nome Luitprand que viveu no século VIII. No entanto as primeiras referências deste tipo de objeto aparecem apenas no século XIV. È formada por dois cones ocos de vidro, unidos pelo gargalo, de modo a deixar passar a areia de um para outro num determinado intervalo de tempo, através de um orifício. Para proteger o conjunto era usada uma armação de madeira ou latão. Mais tarde as ampulhetas foram feitas de uma só peça de vidro com um orifício para passagem da areia.</span><br />
<span style="font-family: "times" , "times new roman" , serif;"><br /></span>
<span style="font-family: "times" , "times new roman" , serif;">Visando trabalhar esse conteúdo de forma mais lúdica e atraente, construímos na turma 1601 (6º ano) uma ampulheta de garrafas descartáveis, explicando seu funcionamento e sua história e traçando um paralelo com as unidades de tempo usadas atualmente por nós. O segundo (s) é a unidade fundamental no SI (Sistema Internacional de Unidades). A partir do segundo, temos:</span><br />
<span style="font-family: "times" , "times new roman" , serif;"><br /></span>
<span style="font-family: "times" , "times new roman" , serif;">1min = 60 s</span><br />
<span style="font-family: "times" , "times new roman" , serif;">1 hora = 60 min = 3600 s</span><br />
<span style="font-family: "times" , "times new roman" , serif;">1 dia = 24 h = 24. 3600 s</span><br />
<span style="font-family: "times" , "times new roman" , serif;">1 semana = 7 dias = 7.24 . 3600 s</span><br />
<span style="font-family: "times" , "times new roman" , serif;">1 ano = 365 dias (ano bissexto tem 366 dias)</span><br />
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<span style="font-family: "times" , "times new roman" , serif;"><br /></span>Matematique-se!http://www.blogger.com/profile/02919559319756769333noreply@blogger.com0tag:blogger.com,1999:blog-4863630647141471068.post-48451730426741831512016-05-06T09:08:00.000-07:002016-05-06T09:13:21.202-07:00DIA 06 DE MAIO, DIA DA MATEMÁTICA E DO MATEMÁTICOHoje é dia de homenagear a Ciência das Ciências. O alicerce das civilizações. Hoje é dia da minha querida Matemática. Parabéns aos Matemáticos e a todos os amantes da Matemática!<br />
<img src="http://pnld.moderna.com.br/wp-content/uploads/2012/05/Dia-Nacional-da-Matem%C3%A1tica-.jpg" height="240" width="320" />Matematique-se!http://www.blogger.com/profile/02919559319756769333noreply@blogger.com0tag:blogger.com,1999:blog-4863630647141471068.post-55380942078176387822016-03-29T07:12:00.000-07:002016-03-29T07:24:43.173-07:00PRÉ VESTIBULAR MÁRIO WAY (AULA DE MATEMÁTICA)Olá galera do Colégio Estadual Mario Way,<br />
Gostaria de externar minha satisfação em estar contribuindo para esse projeto maravilhoso. Parabenizo o amigo e grande Professor Vitor Gouveia pela iniciativa e deixo meu agradecimento pelo convite.<br />
O material para a aula de matemática do dia 01 de abril está disponível no link <a href="http://www.4shared.com/file/SMcdYdLFba/PREVEST_MARIO_WAY.html">http://www.4shared.com/file/SMcdYdLFba/PREVEST_MARIO_WAY.html</a>.<br />
Brasil!Matematique-se!http://www.blogger.com/profile/02919559319756769333noreply@blogger.com0tag:blogger.com,1999:blog-4863630647141471068.post-43045936651255942712016-02-18T05:42:00.000-08:002016-02-19T09:42:28.333-08:00EXERCÍCIOS DE APOIO DE ESTATÍSTICA (CURSO AÇÃO)Saudações alunos das turmas de Estatística do curso Ação. Segue abaixo o link para a folha de exercícios de fixação e apoio.<br />
<a href="http://www.4shared.com/office/E2ynCnO8ba/ESTATSTICA_1_AO.html">http://www.4shared.com/office/E2ynCnO8ba/ESTATSTICA_1_AO.html</a><br />
<br />
Quaisquer dúvidas poderão ser dirimidas através do facebook ou dos comentários na própria postagem.Matematique-se!http://www.blogger.com/profile/02919559319756769333noreply@blogger.com0tag:blogger.com,1999:blog-4863630647141471068.post-59147073722065447302016-02-14T13:27:00.000-08:002016-02-18T05:33:34.336-08:00EXERCÍCIO PARA AS TURMAS DE FORMAÇÃO DE PROFESSORES (ESTATÍSTICA)Um dos principais indicadores da poluição do ar nas
grandes cidades é a concentração de ozônio na
atmosfera. O nível de concentração de ozônio na
atmosfera foi medido em São Paulo durante o
inverno de 1998, e os resultados são apresentados a
seguir:<br />
3,5 1,4 6,6 6,0 4,2 4,4 5,3 5,6 6,8 2,5 5,4 4,4 5,4 4,7 3, 5 4,0 2,4 3,0 5,6 4,7 6,5 3,0 4,1 3,4 6,8 1,7 5,3 4,7 7,4 6,0 6,7 10,9 5,5 1,1 5,1 5,6 5,5 1,4 3,9 6,6 6,2 7,5 6,2 6,0 5,8 2,8 6,1 4,1 5,7 5,8 3,1 5,8 1,6 2,5 8,1 6,6 9,4 3,4 5,8 7,6 1,4 3,7 2,0 3,7 6,8 3,1 4,7 3,8 5,9 3,3 6,2 7,6 6,6 4,4 5,7 4,5 3,7 9,4 <br />
a) Disponha os dados em rol crescente. Determine
a amplitude total dos dados.<br />
b) Agrupe convenientemente esses valores em
classes de igual amplitude (Distribuição de
freqüências).<br />
d) Determine as freqüências absoluta e relativa
simples .<br />
e) Construa o histograma e o polígono de
freqüências.Matematique-se!http://www.blogger.com/profile/02919559319756769333noreply@blogger.com0tag:blogger.com,1999:blog-4863630647141471068.post-78694508107697083272015-11-13T06:58:00.000-08:002015-11-17T06:49:25.241-08:00A MATEMÁTICA DO XADREZA Matemática está entre as disciplinas mais rejeitadas pelos estudantes. O educador, portanto, deve criar estratégias que motivem seus alunos e tornem o processo de aprendizagem mais aprazível. Neste sentindo, os jogos tornam-se importantes ferramentas pedagógicas que possibilitam o ensino de determinados conteúdos mais lúdico e atraente.<br />
No aprendizado da Matemática é importante que o estudante saiba direcionar o seu raciocínio lógico;
possua paciência para que possa analisar um mesmo problema das diversas maneiras
possíveis; tenha uma boa concentração para não deixar que seu raciocínio se disperse
facilmente, entre outras áreas que compõem as funções do raciocínio da mente humana. O jogo de xadrez possui características importantes, as quais podem
desenvolver habilidades em diversos níveis no estudante, ajudando em seu rendimento escolar
e no desenvolvimento social.
Dentre as habilidades que podem ser desenvolvidas pelo hábito da prática do xadrez
destacam-se: a concentração, atenção, paciência, análise e síntese, imaginação, criatividade,
organização nos estudos, entre outras.<br />
No último dia 12 de novembro os alunos das turmas 3001 e 3002 do Colégio Estadual George Washington desenvolveram um belíssimo trabalho sob nossa orientação acerca da importância da Matemática no jogo de xadrez e vice-versa.<br />
Na parte teórica, eles conseguiram identificar os conteúdos que podem ser trabalhados com o jogo de xadrez, tais como:<br />
<h3 style="line-height: 150%;">
<span style="font-family: "times new roman" , "serif";">Sugestões
de Conteúdos que Podem ser Explorados no Jogo de Xadrez<o:p></o:p></span></h3>
<div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<span style="font-family: "wingdings"; line-height: 150%; text-indent: -18pt;">§<span style="font-family: "times new roman"; font-size: 7pt; font-stretch: normal; line-height: normal;"> </span></span><span style="line-height: 150%; text-indent: -18pt;">Frações. (Por exemplo: o número de casas brancas
ou pretas representam que fração do tabuleiro?);</span></div>
<div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<span style="font-family: "wingdings"; line-height: 150%; text-indent: -18pt;">§<span style="font-family: "times new roman"; font-size: 7pt; font-stretch: normal; line-height: normal;"> </span></span><span style="line-height: 150%; text-indent: -18pt;">Noção de simetria. (Posicionamento das peças
para iniciar uma partida);</span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 71.4pt; mso-list: l0 level1 lfo1; tab-stops: list 71.4pt; text-align: justify; text-indent: -18.0pt;">
<o:p></o:p></div>
<div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<span style="font-family: "wingdings"; line-height: 150%; text-indent: -18pt;">§<span style="font-family: "times new roman"; font-size: 7pt; font-stretch: normal; line-height: normal;">
</span></span><span style="line-height: 150%; text-indent: -18pt;">Equivalência. (Na captura de peças. Por exemplo:
Rainha (Dama), Torre, Bispo e Cavalo correspondem a quantos peões
respectivamente);</span></div>
<div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<span style="font-family: "wingdings"; line-height: 150%; text-indent: -18pt;">§<span style="font-family: "times new roman"; font-size: 7pt; font-stretch: normal; line-height: normal;">
</span></span><span style="line-height: 150%; text-indent: -18pt;">Razão, proporção, grandezas diretamente e
inversamente proporcionais. (Na exploração do tabuleiro. Por exemplo: o que
acontece com o perímetro do quadrado à medida que seu lado dobra, triplica e
assim por diante; ou fixando a área de um retângulo o que ocorre com a sua base
sabendo que sua altura está dobrando, triplicando e assim por diante);</span><span style="text-indent: -24px;"> </span></div>
<div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<span style="font-family: "wingdings"; line-height: 150%; text-indent: -18pt;">§<span style="font-family: "times new roman"; font-size: 7pt; font-stretch: normal; line-height: normal;">
</span></span><span style="line-height: 150%; text-indent: -18pt;">Potenciação. (No número de quadrados existentes
no tabuleiro.)</span></div>
<div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<span style="font-family: "wingdings"; line-height: 150%; text-indent: -18pt;">§<span style="font-family: "times new roman"; font-size: 7pt; font-stretch: normal; line-height: normal;">
</span></span><span style="line-height: 150%; text-indent: -18pt;">Produtos notáveis. (Fazendo cálculo da área de
quadrados ou retângulos explorados no tabuleiro);</span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 71.4pt; mso-list: l0 level1 lfo1; tab-stops: list 71.4pt; text-align: justify; text-indent: -18.0pt;">
<o:p></o:p></div>
<div class="MsoHeader" style="line-height: 150%; tab-stops: 35.4pt;">
<span style="font-family: "wingdings"; line-height: 150%; text-align: justify; text-indent: -18pt;">§<span style="font-family: "times new roman"; font-size: 7pt; font-stretch: normal; line-height: normal;">
</span></span><span style="line-height: 150%; text-align: justify; text-indent: -18pt;">Noção de horizontal, vertical e diagonal; (No
movimento das peças. Por exemplo: Movimento da Dama, Torre e Bispo);</span></div>
<div class="MsoHeader" style="line-height: 150%; tab-stops: 35.4pt;">
<span style="font-family: "wingdings"; line-height: 150%; text-align: justify; text-indent: -18pt;">§<span style="font-family: "times new roman"; font-size: 7pt; font-stretch: normal; line-height: normal;">
</span></span><span style="line-height: 150%; text-align: justify; text-indent: -18pt;">Polígonos – Área e Perímetro (triângulos,
quadrados, retângulos, losangos, paralelogramos, trapézios). (Na exploração do
tabuleiro);</span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 71.4pt; mso-list: l0 level1 lfo1; tab-stops: list 71.4pt; text-align: justify; text-indent: -18.0pt;">
<o:p></o:p></div>
<div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<span style="font-family: "wingdings"; line-height: 150%; text-indent: -18pt;">§<span style="font-family: "times new roman"; font-size: 7pt; font-stretch: normal; line-height: normal;">
</span></span><span style="line-height: 150%; text-indent: -18pt;">Plano Cartesiano. (Na exploração do tabuleiro);</span></div>
<div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<span style="font-family: "wingdings"; line-height: 150%; text-indent: -18pt;">§<span style="font-family: "times new roman"; font-size: 7pt; font-stretch: normal; line-height: normal;">
</span></span><span style="line-height: 150%; text-indent: -18pt;">Funções de 1º e 2º graus. (Na exploração do
tabuleiro);</span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 71.4pt; mso-list: l0 level1 lfo1; tab-stops: list 71.4pt; text-align: justify; text-indent: -18.0pt;">
<o:p></o:p></div>
<div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<span style="font-family: "wingdings"; line-height: 150%; text-indent: -18pt;">§<span style="font-family: "times new roman"; font-size: 7pt; font-stretch: normal; line-height: normal;">
</span></span><span style="line-height: 150%; text-indent: -18pt;">Progressões. (Na contextualização das lendas do
Xadrez);</span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 71.4pt; mso-list: l0 level1 lfo1; tab-stops: list 71.4pt; text-align: justify; text-indent: -18.0pt;">
<o:p></o:p></div>
<div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<span style="font-family: "wingdings"; line-height: 150%; text-indent: -18pt;">§<span style="font-family: "times new roman"; font-size: 7pt; font-stretch: normal; line-height: normal;">
</span></span><span style="line-height: 150%; text-indent: -18pt;">Análise Combinatória. (Em questionamentos do
tipo: Qual é o número possível de movimentos distintos que podem ser realizados
no primeiro lance de uma partida de Xadrez? E para o segundo lance?</span></div>
<div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<span style="line-height: 150%; text-indent: -18pt;">O projeto culminou com a apresentação de um jogo de xadrez humano, em que os alunos confeccionaram o tabuleiro com cartolina e realizaram um duelo entre turmas.</span><br />
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Matematique-se!http://www.blogger.com/profile/02919559319756769333noreply@blogger.com0tag:blogger.com,1999:blog-4863630647141471068.post-36390317218074418722015-10-22T10:54:00.000-07:002015-10-22T10:54:33.279-07:00PLANO CARTESIANO E PAR ORDENADO : "BATALHA NAVAL"<span style="color: #333333; font-family: Times, Times New Roman, serif;"><span style="background-color: white; font-size: 12px; line-height: 18px;"><b>CONTEÚDO TEÓRICO</b></span></span><br />
<span style="color: #333333; font-family: Arial, Helvetica, sans-serif;"><span style="background-color: white; font-size: 12px; line-height: 18px;"><br /></span></span>
<span style="color: #333333; font-family: Times, Times New Roman, serif;"><span style="background-color: white; line-height: 18px;">A atividade proposta tem por objetivo exercitar e fixar os conceitos de Plano Cartesiano e Par Ordenado, tendo em vista a importância dos mesmos para o aprendizado de outros conteúdos como funções, geometria analítica, vetores, etc.</span></span><br />
<span style="font-family: Times, Times New Roman, serif;">O Plano Cartesiano é formado por um sistema de dois eixos perpendiculares (formam 90º). Esses eixos são retas numéricas que se cruzam (interseção) na origem do sistema (ponto (0,0)). O eixo horizontal (OX) é chamado eixo das ABSCISSAS e o eixo vertical (OY) é chamado eixo das ORDENADAS.</span><br />
<span style="font-family: Times, Times New Roman, serif;">Um ponto pertencente ao Plano Cartesiano é representado por um PAR ORDENADO <i>(x, y) </i>, sempre nessa ordem, onde x será sua localização na reta OX e y a localização na reta OY.</span><br />
<span style="font-family: Times, Times New Roman, serif;"><br /></span>
<span style="font-family: Times, Times New Roman, serif;">OBS: Observe que, quando uma das coordenadas é nula (zero) o ponto estará sobre a outra reta (eixo perpendicular) .</span><br />
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<span style="color: #333333; font-family: Times, Times New Roman, serif;"><span style="background-color: white; line-height: 18px;">ATIVIDADE</span></span><br />
<ul style="background: rgb(255, 255, 255); border: 0px; color: #333333; line-height: 18px; list-style-position: inside; margin: 10px 0px; outline: 0px; padding: 0px;">
<li style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px;"><span style="font-family: Times, Times New Roman, serif;">Vamos dividir a turma em duplas.</span></li>
<li style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px;"><span style="font-family: Times, Times New Roman, serif;">Cada dupla receberá uma folha de papel quadriculado e construirá dois Planos Cartesianos. Um plano será para localizar suas embarcações, o outro para controlar suas ações em relação ao oponente.</span></li>
</ul>
<span style="font-family: Times, Times New Roman, serif;"><br style="background-color: white; color: #333333; line-height: 18px;" /><span style="background: rgb(255, 255, 255); border: 0px; color: #333333; line-height: 18px; margin: 0px; outline: 0px; padding: 0px;">Objetivos</span></span><br />
<ul style="background: rgb(255, 255, 255); border: 0px; color: #333333; line-height: 18px; list-style-position: inside; margin: 10px 0px; outline: 0px; padding: 0px;">
<li style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px;"><span style="font-family: Times, Times New Roman, serif;">Aprender a marcar pontos (pares ordenados) no Plano Cartesiano. A</span>presentar o plano cartesiano como recurso para organizar e representar
informação, conhecendo as principais características do sistema de coordenadas cartesianas
e localizando pontos e figuras geométricas no plano cartesiano. </li>
</ul>
<span style="font-family: Times, Times New Roman, serif;"><span style="background: rgb(255, 255, 255); border: 0px; color: #333333; line-height: 18px; margin: 0px; outline: 0px; padding: 0px;"><br />Organização do jogo</span><br style="background-color: white; color: #333333; line-height: 18px;" /><br style="background-color: white; color: #333333; line-height: 18px;" /><span style="background-color: white; color: #333333; line-height: 18px;">1. Cada jogador distribui suas embarcações pelo tabuleiro, marcando os quadrados em que estarão ancoradas as suas embarcações da seguinte forma: um porta-aviões (cinco quadrados); dois encouraçados (quatro quadrados cada um); três cruzadores (três quadrados cada um); quatro submarinos (dois quadrados cada um).</span></span><br />
<span style="font-family: Times, Times New Roman, serif;"><br style="background-color: white; color: #333333; line-height: 18px;" /><span style="background-color: white; color: #333333; line-height: 18px;">2. As embarcações devem ocupar os quadrados na extensão de uma linha ou de uma coluna. Por exemplo, um porta-aviões deve ocupar cinco quadrados em uma linha ou em uma coluna.</span><br style="background-color: white; color: #333333; line-height: 18px;" /><span style="background-color: white; color: #333333; line-height: 18px;">3. Não é permitido que duas (2) embarcações se toquem ou se sobreponham.</span><br style="background-color: white; color: #333333; line-height: 18px;" /><span style="background-color: white; color: #333333; line-height: 18px;">4. Deve ser distribuída pelo menos uma embarcação em cada quadrante.</span><br style="background-color: white; color: #333333; line-height: 18px;" /><span style="background-color: white; color: #333333; line-height: 18px;">5. A função do juiz é observar se os jogadores estão marcando corretamente os pontos nos dois tabuleiros (no tabuleiro do seu jogo e no tabuleiro de controle dos tiros dados no tabuleiro do adversário).</span><br style="background-color: white; color: #333333; line-height: 18px;" /><br style="background-color: white; color: #333333; line-height: 18px;" /><span style="background: rgb(255, 255, 255); border: 0px; color: #333333; line-height: 18px; margin: 0px; outline: 0px; padding: 0px;">Regras do jogo</span></span><br />
<ul style="background: rgb(255, 255, 255); border: 0px; color: #333333; line-height: 18px; list-style-position: inside; margin: 10px 0px; outline: 0px; padding: 0px;">
<li style="background-attachment: initial; background-clip: initial; background-color: transparent; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border-image-outset: initial; border-image-repeat: initial; border-image-slice: initial; border-image-source: initial; border-image-width: initial; border: 0px; margin: 0px; outline: 0px; padding: 0px;"><span style="font-family: Times, Times New Roman, serif;">Cada jogador não deve revelar ao seu oponente a localização de suas embarcações.</span></li>
<li style="background-attachment: initial; background-clip: initial; background-color: transparent; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border-image-outset: initial; border-image-repeat: initial; border-image-slice: initial; border-image-source: initial; border-image-width: initial; border: 0px; margin: 0px; outline: 0px; padding: 0px;"><span style="font-family: Times, Times New Roman, serif;">Os jogadores decidem quem começa a atirar.</span></li>
<li style="background-attachment: initial; background-clip: initial; background-color: transparent; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border-image-outset: initial; border-image-repeat: initial; border-image-slice: initial; border-image-source: initial; border-image-width: initial; border: 0px; margin: 0px; outline: 0px; padding: 0px;"><span style="font-family: Times, Times New Roman, serif;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px;">Cada jogador, na sua vez de jogar, tentará atingir uma embarcação do seu oponente. Para isso, indicará ao seu oponente um ponto (tiro) no plano cartesiano dando as coordenadas <em style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px;">x</em> e<em style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px;"> y</em> desse ponto. Lembrando que as coordenadas <em style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px;">x</em>,<em style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px;"> y</em> são pares ordenados (<em style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px;">x,</em> <em style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px;">y</em>) em que o primeiro número deve ser lido no eixo <em style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px;">x </em>e o segundo no eixo <em style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px;">y</em>.</span></span></li>
<li style="background-attachment: initial; background-clip: initial; background-color: transparent; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border-image-outset: initial; border-image-repeat: initial; border-image-slice: initial; border-image-source: initial; border-image-width: initial; border: 0px; margin: 0px; outline: 0px; padding: 0px;"><span style="font-family: Times, Times New Roman, serif;">O oponente marca o ponto correspondente no seu tabuleiro e avisa se o jogador acertou uma embarcação, ou se acertou a água. Caso tenha acertado uma embarcação, o oponente deverá informar qual delas foi atingida. Caso ela tenha sido afundada, isso também deverá ser informado. Uma embarcação é afundada quando todos os quadrados que formam essa embarcação forem atingidos.</span></li>
<li style="background-attachment: initial; background-clip: initial; background-color: transparent; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border-image-outset: initial; border-image-repeat: initial; border-image-slice: initial; border-image-source: initial; border-image-width: initial; border: 0px; margin: 0px; outline: 0px; padding: 0px;"><span style="font-family: Times, Times New Roman, serif;">Para que um jogador tenha o controle dos pontos que indicou ao seu oponente, deverá marcar cada um dos pontos indicados no plano correspondente ao do oponente no seu tabuleiro.</span></li>
<li style="background-attachment: initial; background-clip: initial; background-color: transparent; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border-image-outset: initial; border-image-repeat: initial; border-image-slice: initial; border-image-source: initial; border-image-width: initial; border: 0px; margin: 0px; outline: 0px; padding: 0px;"><span style="font-family: Times, Times New Roman, serif;">Para acertar uma embarcação, basta acertar um dos vértices de um dos quadrados em que a embarcação está ancorada.</span></li>
<li style="background-attachment: initial; background-clip: initial; background-color: transparent; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border-image-outset: initial; border-image-repeat: initial; border-image-slice: initial; border-image-source: initial; border-image-width: initial; border: 0px; margin: 0px; outline: 0px; padding: 0px;"><span style="font-family: Times, Times New Roman, serif;">Para afundar uma embarcação, é preciso acertar pelo menos um dos vértices de cada um dos quadrados em que a embarcação está ancorada.</span></li>
<li style="background-attachment: initial; background-clip: initial; background-color: transparent; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border-image-outset: initial; border-image-repeat: initial; border-image-slice: initial; border-image-source: initial; border-image-width: initial; border: 0px; margin: 0px; outline: 0px; padding: 0px;"><span style="font-family: Times, Times New Roman, serif;">Se o jogador acertar um alvo, tem direito a nova jogada e assim sucessivamente até acertar a água ou até que tenha afundado todas as embarcações.</span></li>
<li style="background-attachment: initial; background-clip: initial; background-color: transparent; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border-image-outset: initial; border-image-repeat: initial; border-image-slice: initial; border-image-source: initial; border-image-width: initial; border: 0px; margin: 0px; outline: 0px; padding: 0px;"><span style="font-family: Times, Times New Roman, serif;">Se o jogador acertar a água, passa a vez para o seu oponente. Também passará a vez para o seu oponente ou perderá uma jogada o jogador que marcar um ponto de forma incorreta, em qualquer um dos tabuleiros. Esse erro deve ser deve ser indicado pelo juíz.</span></li>
<li style="background-attachment: initial; background-clip: initial; background-color: transparent; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border-image-outset: initial; border-image-repeat: initial; border-image-slice: initial; border-image-source: initial; border-image-width: initial; border: 0px; margin: 0px; outline: 0px; padding: 0px;"><span style="font-family: Times, Times New Roman, serif;">O jogo termina quando um dos jogadores afundar todas as embarcações do seu oponente.</span></li>
</ul>
Matematique-se!http://www.blogger.com/profile/02919559319756769333noreply@blogger.com0tag:blogger.com,1999:blog-4863630647141471068.post-44699243208646160012015-10-06T05:54:00.001-07:002015-10-06T05:55:15.735-07:00INTERNET: VILÃ OU ALIADA DO PROCESSO DE APRENDIZAGEM?É sempre muito bom voltar ao nosso lar! Foi com muita honra e satisfação que voltei ontem à FEUC, a Casa do Professor, para ministrar a palestra "Internet: vilã ou aliada do processo educacional?" e participar da XXII OCTOBERMÁTICA. Muito bom rever os grandes Mestres da Matemática Alzir Fourny, Lucio Sebastião e Dr. Gabriela Barbosa que tiveram grande participação na minha formação de professor e estiveram prestigiando meu trabalho. Agradeço aos futuros colegas de trabalho pela atenção e pelo interesse. Agradeço,especialmente, ao amigo Alexandre Ferreira pelo convite.<br />
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<tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjwSDCBS1IDhgAoLyt7MwvkzsioeMCz0GCOH0e4Zyd4TBfIo38y-w-uZTJ3sxMR3U7Bn9I06yf_oUK8UTAj3GJYUysLL5P-nv2OjhkbNJ6s7PghzOFL02BeD6Zc_YNO5AET2l6XvnAO0_c/s1600/IMG-20151006-WA0011.jpg" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" height="240" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjwSDCBS1IDhgAoLyt7MwvkzsioeMCz0GCOH0e4Zyd4TBfIo38y-w-uZTJ3sxMR3U7Bn9I06yf_oUK8UTAj3GJYUysLL5P-nv2OjhkbNJ6s7PghzOFL02BeD6Zc_YNO5AET2l6XvnAO0_c/s320/IMG-20151006-WA0011.jpg" width="320" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;">Da esquerda para a direita: Drª Gabriela Barbosa, Alexandre Ferreira, eu, MSc Alzir Fourny e MSc Lucio Sebastião</td></tr>
</tbody></table>
<br />Matematique-se!http://www.blogger.com/profile/02919559319756769333noreply@blogger.com0tag:blogger.com,1999:blog-4863630647141471068.post-72566921443103194632015-10-02T12:40:00.001-07:002015-10-05T11:52:56.130-07:00ÚLTIMO CONCURSO CORREIOS (2011) - PROVA PARA CARTEIRO CORRIGIDAPara obter sucesso em concurso é preciso disciplina, tenacidade e organização. Fazer provas de concursos anteriores e questões similares, elaboradas pela mesma banca, deve estar na rotina de estudos do candidato.<br />
Portanto, mãos à obra!<br />
Segue o link para download da prova de carteiro <a href="http://www.4shared.com/office/jB-8OV2Ice/CONCURSO_CORREIOS_2011_CARTEIR.html?">http://www.4shared.com/office/jB-8OV2Ice/CONCURSO_CORREIOS_2011_CARTEIR.html?</a> e a seguir a correção comentada das questões de matemática.<br />
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<span style="color: red;"><b>QUESTÃO 21</b></span>: PORCENTAGEM<br />
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De acordo com o texto 21% das cartas foram adotadas, portanto 79% não foram adotadas ( 21 + 79 = 100%).<br />
Logo, 79% de 1981000 = 79 x 1981000 / 100 = 1564990 cartas<br />
Esse número é maior que 1500000 = 1,5 milhões<br />
Resp. D<br />
<br />
<b><span style="color: red;">QUESTÃO 22</span></b>: PROPORÇÃO<br />
<br />
Vol. Total Vol. Internos<br />
<br />
2009 3818 + 669 = 4487 3818<br />
2010 22435 x<br />
<br />
<br />
4487 . x = 3818 . 22435<br />
x = 19090<br />
<br />
Esse número é superior a 19.050 e inferior a 19.100.<br />
Resp. A<br />
<br />
<span style="color: red;"><b>QUESTÃO 23</b></span>: ÁREA<br />
<br />
Temos dois retângulos cujas bases são A = base x altura<br />
<br />
At = 40 x 30 = 1200 mm²<br />
Au = 35 x 25 = 875 mm²<br />
<br />
1200 = 100%<br />
875 = x%<br />
<br />
x = 875 x 100/ 1200<br />
x = 72,91%<br />
<br />
Resp. B<br />
<br />
<span style="color: red;"><b>QUESTÃO 24</b></span>: VOLUME<br />
<br />
O volume de um paralelepípedo (prisma reto retângulo) é calculado pelo produto: V = comprimento x largura x altura<br />
Logo, V = 360 x 270 x 180 = 17496000 mm³ = 17496 cm³ = 17,496 dm³<br />
( perceba que para transformarmos para uma unidade de medida de volume imediatamento superior dividimos por 1000)<br />
<br />
Resp. E<br />
<br />
<span style="color: red;"><b>QUESTÃO 25</b></span>: PROPORÇÃO<br />
<br />
10 dias = 210630 selos<br />
30 dias = x selos<br />
<br />
x = 30 x 210630 / 10 = 631890 selos<br />
<br />
Ou ...<br />
30 é o triplo de 10, então a quantidade de selos em 30 dias também deve ser o triplo.<br />
3 x 210630 = 631890<br />
<br />
Resp. E<br />
<br />
<b><span style="color: red;">QUESTÃO 26</span></b>: FRAÇÕES/ PROPORÇÃO<br />
<br />
Redução = 13,4 - 8,8 = 4,6 mm<br />
<br />
Fração = 4,6 / 13,4 = 46 / 134 = 0,34<br />
<br />
Como 1/3 = 0,33 e 1/2 = 0,5<br />
1/3<0,34< 1/2<br />
<br />
Resp . B<br />
<br />
<span style="color: red;"><b>QUESTÃO 27</b></span>: PROPORÇÃO<br />
<br />
$ 1,00 = R$ 1,64<br />
$ 352 = 352 X 1,64 = R$577,28<br />
<br />
Resp. A<br />
<br />
<span style="color: red;"><b>QUESTÃO 28</b></span>: MDC (MÁXIMO DIVISOR COMUM)<br />
<br />
A sala tem 4,16 m = 416 cm de comprimento e 3,52 m = 352 cm de largura. Serão colocados ladrilhos quadrados de x cm de lado. Então, se não há sobras de espaço, o comprimento deve ser divisível (múltiplo) x e a largura também. Concluímos que x é divisor de 416 e de 352.<br />
Para que o ladrilho tenha o maior tamanho possível, x deve ser o maior divisor comum (MDC) entre 416 e 352.<br />
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<br />
MDC (416, 352) = 32<br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjOwSjWAFqPzgiqRpxfBIV5hxe8iECpHL6cVuCLV-9G09vUO3Zq0qDeaweX0B5Ts14etNdt93AmqJ5CURhcwyGdBZPFJjlHIq3_eKp8g7XseQezqTzrEKzrUD9-rFuhVOWDB39LtB88heM/s1600/ee.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjOwSjWAFqPzgiqRpxfBIV5hxe8iECpHL6cVuCLV-9G09vUO3Zq0qDeaweX0B5Ts14etNdt93AmqJ5CURhcwyGdBZPFJjlHIq3_eKp8g7XseQezqTzrEKzrUD9-rFuhVOWDB39LtB88heM/s1600/ee.png" /></a></div>
<br />
<br />
Resp A<br />
<div class="separator" style="clear: both; text-align: center;">
</div>
<br />
<br />
<span style="color: red;"><b>QUESTÃO 29</b></span>: ÁREA E PROPORÇÃO<br />
<br />
Área = 4,16 x 3,52 = 14, 64 m²<br />
<br />
1 m² ----------2 kg<br />
14,64 m² -------- 2 x 14,64 = 29,28 kg<br />
<br />
3 kg ------------ 1 saco<br />
29,28 kg ---------29,28 ; 3 = 9,76<br />
<br />
Serão necessários 10 sacos.<br />
<br />
Resp. B<br />
<br />
<span style="color: red;"><b>QUESTÃO 30</b></span>: ANULADA<br />
<br />
<span style="color: red;"><b>QUESTÃO 31:</b></span> VOLUME E ÁREA<br />
<br />
Os livros serão colocados deitados sobrepostos até a altura de 9cm. Como cada livro tem 1,2 cm de espessura, caberão 9/ 1,2 = 7,5 livros<br />
Ou seja, 7 livros com a caixa fechada.<br />
<br />
Resp. D<br />
<br />
<br />
<span style="color: red;"><b>QUESTÃO 32</b></span>: PROPORÇÃO E VOLUME<br />
<br />
Tipo 2 = 27 . 18. 9 = 4374 cm³ -------------- 4,50<br />
Tipo 4 = 36 . 27 . 18 = 17496 cm³ ------------ x<br />
<br />
x = 17496 . 4,5 ; 4374 = 18,00<br />
<br />
Resp. B<br />
<br />
<span style="color: red;"><b>QUESTÃO 33</b></span>: MMC (MÍNIMO MÚLTIPLO COMUM)<br />
<br />
Como as caixas ficam sempre na mesma posição e os terrenos tem 12 m de frente, então esse distância será múltipla de 12. Se os postes estão a 50 m um do outro, esse número também será múltiplo de 50. A primeira coincidência , será múltipla de ambos, ou seja,o MMC.<br />
<br />
MMC ( 12 e 50) = 300<br />
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Resp. C<br />
<br />
<span style="color: red;"><b>QUESTÃO 34</b></span>: FRAÇÕES<br />
<br />
A fração que coube a Marcos será 7/10 de 3/5 = 21 / 50<br />
<br />
Resp. C<br />
<br />
<span style="color: red;"><b>QUESTÃO 35</b></span>: PORCENTAGEM<br />
<br />
Aumento = 52 - 40 = 12<br />
<br />
4 = 10% de 40<br />
12 = 30% de 40<br />
<br />
Resp. E<br />
<br />
<span style="color: red;"><b>QUESTÃO 36</b></span>: PORCENTAGEM<br />
<br />
Esta é uma questão conceitual. O maior aumento relativo é aquele que foi maior em percentual. Logo o aumento relativo da carta não comercial foi o maior.<br />
<br />
Resp. E<br />
<br />
<span style="color: red;"><b>QUESTÃO 37:</b></span> PORCENTAGEM<br />
<br />
6,52% de aumento em 3 meses = 6,52 : 3 = 2,17% ao mês<br />
<br />
Resp. B<br />
<br />
<span style="color: red;"><b>QUESTÃO 38</b></span>: EXPRESSÕES NUMÉRICAS E OPERAÇÕES<br />
<br />
Custo com envio das mercadorias de 3kg<br />
[ 35,10 + 13,20 x 3] x 2<br />
<br />
Custo com envio das mercadorias de 2 kg<br />
[ 35,10 + 13,20 x 2] x 4<br />
<br />
Total --- [ 35,10 + 13,20 x 3] x 2 + [ 35,10 + 13,20 x 2] x 4<br />
<br />
Resp. A<br />
<br />
<span style="color: red;"><b>QUESTÃO 39</b></span>: SISTEMA DO 1º GRAU<br />
<br />
Chamando de X o valor fixo e Y constante de proporcionalidade, temos;<br />
<br />
X + Y = 26,80<br />
X + 2Y = 31,40<br />
<br />
Y = 4,60<br />
X = 22,20<br />
<br />
Resp. E<br />
<br />
<span style="color: red;"><b>QUESTÃO 40</b></span>: REGRA DE TRÊS INVERSA<br />
<br />
Força de trabalho e tempo de produção são grandezas inversamente proporcionai.<br />
<br />
<br />
12 carteiros ------------------ 21 min<br />
14 carteiros ------------------ x<br />
<br />
14/ 12 = 21/ x<br />
<br />
14 x = 12 .21<br />
<br />
x = 18 min<br />
<br />
Resp. B<br />
<br />
<br />
<br />
<br />
<br />Matematique-se!http://www.blogger.com/profile/02919559319756769333noreply@blogger.com0tag:blogger.com,1999:blog-4863630647141471068.post-36765768560975474972015-09-03T12:23:00.001-07:002015-09-03T12:23:05.470-07:00CTUR: CONCURSO 2015/2016<span style="font-size: large;">Está aberto o período de inscrições para o Colégio Técnico da Universidade Federal Rural do Rio de Janeiro (CTUR). As inscrições serão realizadas <b>exclusivamente </b>pela internet, no endereço eletrônico: <a href="http://www.ctur.ufrrj.br/">www.ctur.ufrrj.br</a> entre os dias 01/09 e 02/10. No mesmo endereço o candidato poderá ter acesso ao edital do concurso. Os candidatos deverão possuir CPF próprio para inscrição e documento de identidade oficial com foto para a realização da prova.</span><br />
<span style="font-size: large;"><br /></span>
<span style="font-size: large;">Brasil!</span>Matematique-se!http://www.blogger.com/profile/02919559319756769333noreply@blogger.com0tag:blogger.com,1999:blog-4863630647141471068.post-24826987235856225762015-08-06T08:51:00.000-07:002015-09-03T11:58:33.681-07:00FAETEC: PROVA 2015 CORRIGIDA E COMENTADAOlá pessoal!<br />
Segue a última prova para o FAETEC (2015) de Matemática corrigida e comentada para estudo. A prova pode ser baixada no site: <a href="https://secure.domcintra.org.br/Faetec_2015.1/Provas_e_gabaritos/CONCOMITANTE.pdf">https://secure.domcintra.org.br/Faetec_2015.1/Provas_e_gabaritos/CONCOMITANTE.pdf</a> .<br />
<br />
25) Reta numérica<br />
Os pontos A, B, C e D dividem o segmento de (9,5 - 2,0) = 7,5 em cinco segmentos iguais a 1,5 cada. Logo temos que:<br />
A = 2 + 1,5 = 3,5<br />
B = 3,5 + 1,5 = 5<br />
C = 5 + 1,5 = 6,5<br />
D = 6,5 + 1,5 = 8<br />
<br />
Portanto, representam números inteiros os pontos B e D.<br />
<br />
Resp. C<br />
<br />
26) Operações com decimais<br />
<br />
1º mês = 1000 x R$ 2,33017 = R$ 2330,17<br />
2º mês = 1000 x R$ 2,50579 = R$ 2505,79<br />
<br />
Diferença = R$ 2505,79 - R$ 2330,17 = R$ 175,62<br />
<br />
Resp. D<br />
<br />
27) Área / Decimais<br />
<br />
Largura = 2,5 m = 25 dm<br />
Comprimento = 4,8 m = 48 dm<br />
<br />
Área = L x C = 25 x 48 = 1200 dm²<br />
<br />
Resp. C<br />
<br />
28) Sequência Numérica<br />
<br />
28 31 36 43 52 x 76 91 y<br />
<br />
Percebemos que a diferença entre o sucessor e o anterior aumenta de dois em dois, a partir de 3.<br />
31 - 28 = 3<br />
36 - 31 = 5<br />
43 - 36 = 7<br />
52 - 43 = 9, logo<br />
x - 52 = 11, ...., x = 52 + 11 = 63<br />
76 - 63 = 13<br />
91 - 76 = 15<br />
y - 91 = 17, ...., y = 91 + 17 = 108<br />
Portanto , y - x = 108 - 63 = 45<br />
<br />
Resp. A<br />
<br />
29) Operações com potências<br />
<br />
<div class="MsoNormal">
a<sup>n</sup> + a<sup>n+3</sup> = a<sup>n</sup> (1+a³ ), logo<o:p></o:p></div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
3<sup>3</sup> + 3<sup>6</sup> = 3³ + 3<sup>3+3</sup> = 3³ (
1 + 3³) = 27 ( 1 + 27) = 27 x 28<o:p></o:p></div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
Resp. B</div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
30) Razão / Porcentagem</div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
A / B = 1 / 4 = x / 4x</div>
<div class="MsoNormal">
A + B = 5x</div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
5x = 100%</div>
<div class="MsoNormal">
x = 100: 5= 20%</div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
Resp. D</div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
31) Frações</div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
J + M = 1/3</div>
<div class="MsoNormal">
J = 1/5</div>
<div class="MsoNormal">
1/5 + M = 1/3</div>
<div class="MsoNormal">
M = 1/3 - 1/5 = 5 /15 - 3/15 = 2/ 15</div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
Resp. E</div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
32) Volume</div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
Volume A = Comprimento x Largura x Altura = CLA</div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
Volume B = 2 C x 3L x 2A = 12 CLA</div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
k = 12</div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
Resp. B</div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
33) Comparação entre decimais</div>
<div class="MsoNormal">
A = 12% = 12/ 100 = 0,12</div>
<div class="MsoNormal">
B = 0,105 </div>
<div class="MsoNormal">
C = 0,11 </div>
<div class="MsoNormal">
D = 0,1222... </div>
<div class="MsoNormal">
E = (0,2)² = 0,2 x 0,2 = 0,04</div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
Logo, D > A > C > B > E</div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
Resp. A</div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
34) Polígonos</div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
Perímetro = soma de todos os lados</div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
Perímetro = n . L,</div>
<div class="MsoNormal">
Como L= n - 1, temos:</div>
<div class="MsoNormal">
Perímetro = n . ( n-1)</div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
Logo, 30 = n. (n-1)</div>
<div class="MsoNormal">
n² - n = 30</div>
<div class="MsoNormal">
n² - n - 30 = 0</div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
n = 6 ou n = -5</div>
<div class="MsoNormal">
Como n é número natural, n = 6 (hexágono)</div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
Resp. C</div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
35) Triângulo Retângulo</div>
<div class="MsoNormal">
<br /></div>
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<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
</div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
Trata-se de um triângulo pitagórico 3, 4 e 5.</div>
<div class="MsoNormal">
150 = 3. 50</div>
<div class="MsoNormal">
200 = 4. 50, logo</div>
<div class="MsoNormal">
x = 5. 50 = 250.</div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
Aplicando o Teorema de Pitágoras, temos</div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
x² = 150 ² + 200² = 22500 + 40000 = 62500</div>
<div class="MsoNormal">
x = 250</div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
Resp. E</div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
36) Porcentagem</div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
2 anos e 9 meses = 24 + 9 = 33 meses</div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
33 = 25% </div>
<div class="MsoNormal">
x = 100%</div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
x = 4 . 33 = 132 meses = 11 anos</div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
Resp. B</div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
37) Polígonos</div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
Apenas possuirão diagonais passando pelo centro, polígonos de índice par, pois D<sub>pc</sub>= n/2</div>
<div class="MsoNormal">
Logo, hexágono (n=6) e octógono (n=8)</div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
Resp. A</div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
38) Operações fundamentais</div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
54 - 17 + 33 - 41 + 28 = 57</div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
Resp. E</div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
39) Divisão de decimais</div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
13, 75 : 1, 25 = 1375 : 125 = 11 pacotes</div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
Resp. A</div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
40) 1º momento = 48000: 6 = 8000</div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
2º momento = 48000 : 5 = 9600</div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
Diferença = R$ 9600 - R$ 8000 = R$ 1600</div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
Resp. E</div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
41) Valor numérico / condição de existência de triângulos</div>
<div class="MsoNormal">
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi8LzAN0o6jUSLdg6czb2LITv4idy-obUekzUMSEJWMKDnC1JY4ChXjyr2WfI5LpMq8EIST38zxNRrLKwlACE9F_UqfmFFOhIhjKX1j7NTy_AkgvrnV0zBLbBm4xP8pWWhCT1MRwJ-9Gfw/s1600/333.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="244" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi8LzAN0o6jUSLdg6czb2LITv4idy-obUekzUMSEJWMKDnC1JY4ChXjyr2WfI5LpMq8EIST38zxNRrLKwlACE9F_UqfmFFOhIhjKX1j7NTy_AkgvrnV0zBLbBm4xP8pWWhCT1MRwJ-9Gfw/s640/333.jpg" width="640" /></a></div>
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42) Teoria de cevianas de um triângulo</div>
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Sendo P ponto médio do lado BC, oposto ao vértice A, então AP será mediana. Como AP também é perpendicular ao lado BC, também será altura. Logo triângulo é isósceles, pois em um triângulo isósceles a mediana relativa à base é também altura e bissetriz.</div>
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<tr><td class="tr-caption" style="text-align: center;">Imagem retirada do site: http://slideplayer.com.br/slide/334104/<br />
Trabalho do Professor Jorge</td></tr>
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Resp. B</div>
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43) Polígonos</div>
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Um hexágono regular de lado L, pode ser dividido em seis triângulos equiláteros iguais de lado também igual a L a partir de suas diagonais que passam pelo centro do polígono. Se a área de cada triângulo vale A, então a área do hexágono será 6A.</div>
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Resp. C</div>
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44) Sistemas do 1º grau</div>
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No dia 10/8 Maria gastou 2x + 3y = 24. No dia 15/9 ela gastou 3x + 4y = 34. Portanto ...</div>
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Resp. B</div>
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45) Ângulos e equações do 1º grau</div>
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B = A + 10°, C
= A + 20°, D = A – 10° e E = A + 30°.</div>
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A + B + C + D + E = 400º</div>
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A + A +10º + A + 20º + A - 10º + A + 30º = 400º</div>
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5A = 400º - 50º </div>
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5A = 350º</div>
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A = 70º</div>
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C = 20º + A = 20º + 70º = 90º</div>
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Resp. D</div>
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46) Análise de gráficos</div>
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Analisando o gráfico, percebe-se que o clube B teve mais títulos que o clube A, logo ambos teria que ter 9 + 10 títulos. Ou seja 19 títulos.</div>
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Resp. D</div>
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47) Quadrado e circunferência</div>
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O raio da circunferência é igual à diagonal do quadrado. Sendo o lado do quadrado igual a √2, sua diagonal será : d = r = √2 x √2 = 2</div>
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O diâmetro da circunferência é o dobro do raio. Portanto D = 2r = 4</div>
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Resp. E</div>
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48) Analise de tabela<br />
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Devemos ter cuidado com a pergunta. Questão pede o maior salário e não o maior saldo após o salário. Logo o maior foi o da Eliane.<br />
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Resp. C</div>
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Matematique-se!http://www.blogger.com/profile/02919559319756769333noreply@blogger.com0