{"id":138109,"date":"2022-03-14T01:51:35","date_gmt":"2022-03-14T04:51:35","guid":{"rendered":"https:\/\/sme.goiania.go.gov.br\/conexaoescola\/?post_type=ensino_fundamental&#038;p=138109"},"modified":"2024-10-28T19:18:05","modified_gmt":"2024-10-28T22:18:05","slug":"matematica-a-relacao-entre-decimais-e-fracoes","status":"publish","type":"ensino_fundamental","link":"https:\/\/sme.goiania.go.gov.br\/conexaoescola\/ensino_fundamental\/matematica-a-relacao-entre-decimais-e-fracoes\/","title":{"rendered":"Matem\u00e1tica &#8211; A rela\u00e7\u00e3o entre decimais e fra\u00e7\u00f5es"},"content":{"rendered":"\n<p class=\"has-text-align-center has-black-color has-text-color has-background has-medium-font-size\" style=\"background-color:#e3d0c3\"> Esta atividade de<strong>&nbsp;Matem\u00e1tica<\/strong> tem como base as sequ\u00eancias did\u00e1ticas propostas pelo <strong>Programa Aprender Sempre<\/strong>, da SME-Goi\u00e2nia, com base no DC\/GO \u2013 Ampliado e est\u00e1 destinada a estudantes do&nbsp;<strong>7\u00ba ano<\/strong>&nbsp;<strong>do Ensino Fundamental<\/strong>.<\/p>\n\n\n\n<div class=\"wp-block-buttons is-content-justification-center is-layout-flex wp-container-core-buttons-is-layout-51f7783f wp-block-buttons-is-layout-flex\">\n<div class=\"wp-block-button has-custom-font-size has-medium-font-size\"><a class=\"wp-block-button__link wp-element-button\" href=\"https:\/\/drive.google.com\/uc?export=download&amp;id=1vaIlqUD1iE6tCbW_5EsE2rBJ0uI2G8f1\" target=\"_blank\" rel=\"noreferrer noopener\">BAIXE A ATIVIDADE<\/a><\/div>\n\n\n\n<div class=\"wp-block-button has-custom-font-size has-medium-font-size\"><a class=\"wp-block-button__link wp-element-button\" href=\"https:\/\/drive.google.com\/uc?export=download&amp;id=1hBdkdQX8JOvcUpls2w3yZzVWy45TJ896\" target=\"_blank\" rel=\"noreferrer noopener\">BAIXE OS  SLIDES<\/a><\/div>\n\n\n\n<div class=\"wp-block-button has-custom-font-size has-medium-font-size\"><a class=\"wp-block-button__link wp-element-button\" href=\"https:\/\/drive.google.com\/uc?export=download&amp;id=107RSHbJUe-bdJhVkA2Jl7-xwqzznWQdy\" target=\"_blank\" rel=\"noreferrer noopener\">BAIXE O TEXTO<\/a><\/div>\n<\/div>\n\n\n\n<figure class=\"wp-block-image aligncenter is-resized\"><img decoding=\"async\" src=\"https:\/\/lh5.googleusercontent.com\/iI6XycwwkeeO_f2ZCgCpN7sLbArOMtT5vAbKCMRdh_kkEPtblyjE9uxnjzjvdlfg8MXVebQrmm6nj8nybXiGT_0RaIhBXNl7TjSue_dGgnYHxESixorOfohCxHeFDtCDg1z1ELlf\" alt=\"Ovo em cima de prato\n\nDescri\u00e7\u00e3o gerada automaticamente com confian\u00e7a m\u00e9dia\" style=\"width:305px;height:auto\"\/><\/figure>\n\n\n\n<p class=\"has-text-align-center has-black-color has-text-color has-medium-font-size\"><strong>Rela\u00e7\u00e3o entre decimais e fra\u00e7\u00f5es<\/strong><\/p>\n\n\n\n<p class=\"has-text-align-center has-small-font-size\">Dispon\u00edvel em: &lt;a href=&#8217;https:\/\/br.freepik.com\/fotos-vetores-gratis\/fundo&#8217;&gt;Fundo foto criado por freepik &#8211; br.freepik.com&lt;\/a&gt; acesso em 03 de mar\u00e7o de 2022<\/p>\n\n\n\n<p class=\"has-black-color has-text-color has-medium-font-size\">Os n\u00fameros racionais s\u00e3o todos aqueles que podem ser representados na forma fracion\u00e1ria em que o numerador \u00e9 um n\u00famero inteiro e o denominador \u00e9 um n\u00famero inteiro diferente de zero.<\/p>\n\n\n\n<p class=\"has-black-color has-text-color has-medium-font-size\">Podemos observ\u00e1-los na forma fracion\u00e1ria em receitas culin\u00e1rias, nas finan\u00e7as, no c\u00e1lculo de velocidade m\u00e9dia, densidade demogr\u00e1fica, entre outras situa\u00e7\u00f5es.<\/p>\n\n\n\n<p class=\"has-black-color has-text-color has-medium-font-size\">Os n\u00fameros racionais tamb\u00e9m podem ser representados na forma de n\u00famero decimal. Vejamos a rela\u00e7\u00e3o entre essas representa\u00e7\u00f5es e algumas opera\u00e7\u00f5es matem\u00e1ticas com n\u00fameros racionais:<\/p>\n\n\n\n<p class=\"has-black-color has-text-color has-medium-font-size\"><strong>Fra\u00e7\u00f5es decimais:<\/strong><\/p>\n\n\n\n<p class=\"has-black-color has-text-color has-medium-font-size\">As fra\u00e7\u00f5es decimais s\u00e3o aquelas cujo denominador \u00e9 10, 100, 1.000, 10.000 e assim por diante. Veja a representa\u00e7\u00e3o decimal de algumas fra\u00e7\u00f5es decimais:<\/p>\n\n\n<div class=\"wp-block-image is-style-default\">\n<figure class=\"aligncenter size-full\"><img fetchpriority=\"high\" decoding=\"async\" width=\"459\" height=\"230\" src=\"https:\/\/sme.goiania.go.gov.br\/conexaoescola\/wp-content\/uploads\/2023\/05\/image-104.png\" alt=\"\" class=\"wp-image-162916\" srcset=\"https:\/\/sme.goiania.go.gov.br\/conexaoescola\/wp-content\/uploads\/2023\/05\/image-104.png 459w, https:\/\/sme.goiania.go.gov.br\/conexaoescola\/wp-content\/uploads\/2023\/05\/image-104-300x150.png 300w\" sizes=\"(max-width: 459px) 100vw, 459px\" \/><\/figure><\/div>\n\n\n<p class=\"has-text-align-left has-black-color has-text-color has-medium-font-size\">Observe a representa\u00e7\u00e3o dessas fra\u00e7\u00f5es com desenhos:<\/p>\n\n\n<div class=\"wp-block-image is-style-default\">\n<figure class=\"aligncenter size-full\"><img decoding=\"async\" width=\"389\" height=\"262\" src=\"https:\/\/sme.goiania.go.gov.br\/conexaoescola\/wp-content\/uploads\/2023\/05\/image-106.png\" alt=\"\" class=\"wp-image-162918\" srcset=\"https:\/\/sme.goiania.go.gov.br\/conexaoescola\/wp-content\/uploads\/2023\/05\/image-106.png 389w, https:\/\/sme.goiania.go.gov.br\/conexaoescola\/wp-content\/uploads\/2023\/05\/image-106-300x202.png 300w\" sizes=\"(max-width: 389px) 100vw, 389px\" \/><\/figure><\/div>\n\n\n<p class=\"has-black-color has-text-color has-medium-font-size\"><strong>Fra\u00e7\u00f5es equivalentes:<\/strong><\/p>\n\n\n\n<p class=\"has-black-color has-text-color has-medium-font-size\">S\u00e3o as fra\u00e7\u00f5es que representam quantidade iguais com rela\u00e7\u00e3o a um inteiro.<\/p>\n\n\n\n<p class=\"has-black-color has-text-color has-medium-font-size\"><strong>Exemplos:<\/strong><\/p>\n\n\n<div class=\"wp-block-image is-style-default\">\n<figure class=\"aligncenter size-full\"><img decoding=\"async\" width=\"323\" height=\"171\" src=\"https:\/\/sme.goiania.go.gov.br\/conexaoescola\/wp-content\/uploads\/2023\/05\/image-105.png\" alt=\"\" class=\"wp-image-162917\" srcset=\"https:\/\/sme.goiania.go.gov.br\/conexaoescola\/wp-content\/uploads\/2023\/05\/image-105.png 323w, https:\/\/sme.goiania.go.gov.br\/conexaoescola\/wp-content\/uploads\/2023\/05\/image-105-300x159.png 300w\" sizes=\"(max-width: 323px) 100vw, 323px\" \/><\/figure><\/div>\n\n\n<p class=\"has-black-color has-text-color has-medium-font-size\">Como podemos observar a partir da representa\u00e7\u00e3o dessas fra\u00e7\u00f5es usando desenhos, elas representam quantidades iguais, portanto as fra\u00e7\u00f5es 1\/4 e 2\/8 s\u00e3o equivalentes.<\/p>\n\n\n\n<p class=\"has-text-align-center has-black-color has-text-color has-background has-medium-font-size\" style=\"background-color:#e3d0c3\">Assista a videoaula com a professora Priscilla com essa tem\u00e1tica<\/p>\n\n\n\n<figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<p class=\"responsive-video-wrap clr\"><iframe title=\"Aprender Sempre - Matem\u00e1tica - 7\u00ba Ano - 1\u00ba Bim - Videoaula 2 - As Rela\u00e7\u00f5es Entre Decimais e Fra\u00e7\u00f5es\" width=\"1200\" height=\"675\" src=\"https:\/\/www.youtube.com\/embed\/QeRHxizZec4?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen><\/iframe><\/p>\n<\/div><figcaption class=\"wp-element-caption\">Canal <a href=\"https:\/\/www.youtube.com\/channel\/UCtoYS7J0PS_iO3KMA1JsnCA\">Portal Conex\u00e3o Escola<\/a> &#8220;Aprender Sempre &#8211; Matem\u00e1tica &#8211; 7\u00ba Ano &#8211; 1\u00baBi &#8211; Videoaula2 &#8211; As Rela\u00e7\u00f5es Entre Decimais e Fra\u00e7\u00f5es&#8221;. Dispon\u00edvel em &lt;https:\/\/www.youtube.com\/watch?v=QeRHxizZec4&gt; acesso em 16 mar 2022.<\/figcaption><\/figure>\n\n\n\n<hr class=\"wp-block-separator has-css-opacity\"\/>\n\n\n\n<p class=\"has-text-align-center has-black-color has-text-color has-medium-font-size\"><strong>Vamos responder algumas quest\u00f5es?<\/strong><\/p>\n\n\n\n<p class=\"has-black-color has-text-color has-background has-medium-font-size\" style=\"background-color:#f9d1db\"><strong>Quest\u00e3o 1<\/strong><\/p>\n\n\n\n<p class=\"has-medium-font-size\">Para fazer uma receita de torta \u00e9 necess\u00e1rio usar&nbsp;1\/4 de uma x\u00edcara de ch\u00e1 de leite. Para fazer o dobro dessa receita, Carol usou 1\/2 x\u00edcara de ch\u00e1 de leite. Ela usou a quantidade correta? Justifique sua resposta.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-css-opacity\"\/>\n\n\n\n<p class=\"has-black-color has-text-color has-background has-medium-font-size\" style=\"background-color:#f9d1db\"><strong>Quest\u00e3o 2<\/strong><\/p>\n\n\n\n<p class=\"has-black-color has-text-color has-medium-font-size\">Mariana guarda mensalmente 1\/6 do seu sal\u00e1rio para futuramente comprar um carro. Se o sal\u00e1rio de Mariana \u00e9 R$ 2.400,00 por m\u00eas, ela guarda para comprar o carro<\/p>\n\n\n\n<p class=\"has-black-color has-text-color has-medium-font-size\">(A) 500 reais.<\/p>\n\n\n\n<p class=\"has-black-color has-text-color has-medium-font-size\">(B) 400 reais.<\/p>\n\n\n\n<p class=\"has-black-color has-text-color has-medium-font-size\">(C) 300 reais.<\/p>\n\n\n\n<p class=\"has-black-color has-text-color has-medium-font-size\">(D) 240 reais.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-css-opacity\"\/>\n\n\n\n<p class=\"has-black-color has-text-color has-background has-medium-font-size\" style=\"background-color:#f9d1db\"><strong>Quest\u00e3o 3 <\/strong><\/p>\n\n\n\n<p class=\"has-black-color has-text-color has-medium-font-size\">Complete a tabela com as representa\u00e7\u00f5es fracion\u00e1rias e decimais dos seguintes n\u00fameros racionais:<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td><strong>N\u00daMERO DECIMAL<\/strong><\/td><td><strong>FRA\u00c7\u00c3O<\/strong><\/td><td><strong>LEITURA<\/strong><\/td><\/tr><tr><td>0,4<\/td><td><\/td><td><\/td><\/tr><tr><td><\/td><td>6\/100<\/td><td><\/td><\/tr><tr><td>0,8<\/td><td><\/td><td><\/td><\/tr><tr><td><\/td><td><\/td><td>NOVE MIL\u00c9SIMOS<\/td><\/tr><tr><td>5,8<\/td><td><\/td><td><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"has-black-color has-text-color has-background has-medium-font-size\" style=\"background-color:#f9d1db\"><strong>Quest\u00e3o 4<\/strong><\/p>\n\n\n\n<hr class=\"wp-block-separator has-css-opacity\"\/>\n\n\n\n<p class=\"has-black-color has-text-color has-medium-font-size\">Um ciclista percorreu 1\/3 de um trajeto no per\u00edodo da manh\u00e3 e 1\/4 no per\u00edodo da tarde. A fra\u00e7\u00e3o que representa a parte do trajeto que ele ainda n\u00e3o percorreu \u00e9<\/p>\n\n\n\n<p class=\"has-black-color has-text-color has-medium-font-size\">(A) 2\/7.<\/p>\n\n\n\n<p class=\"has-black-color has-text-color has-medium-font-size\">(B) 5\/7.<\/p>\n\n\n\n<p class=\"has-black-color has-text-color has-medium-font-size\">(C) 7\/12.<\/p>\n\n\n\n<p class=\"has-medium-font-size\">(D) 5\/12.<\/p>\n\n\n\n<figure class=\"wp-block-table is-style-regular\"><table><tbody><tr><td><strong>Componente Curricular:<\/strong><\/td><td>Matem\u00e1tica<\/td><\/tr><tr><td><strong>Autoria: <\/strong><\/td><td>Priscilla Nascimento Dias, licenciada em matem\u00e1tica e pedagoga<\/td><\/tr><tr><td><strong>Habilidades:<\/strong><\/td><td>(EF06MA10) Ler, interpretar, resolver e elaborar problemas que envolvam adi\u00e7\u00e3o ou subtra\u00e7\u00e3o com n\u00fameros racionais positivos na representa\u00e7\u00e3o fracion\u00e1ria.&nbsp;<br>(EF06MA11-A) Ler, interpretar, resolver e elaborar problemas com n\u00fameros racionais positivos na representa\u00e7\u00e3o decimal, envolvendo as quatro opera\u00e7\u00f5es fundamentais e a potencia\u00e7\u00e3o, por meio de estrat\u00e9gias diversas, utilizando estimativas e arredondamentos para verificar a razoabilidade de respostas, com e sem uso de calculadora.<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p><\/p>\n","protected":false},"author":60,"featured_media":138112,"template":"","ef_categoria":[15,29],"ef_ano":[90],"ef_componente":[94],"class_list":["post-138109","ensino_fundamental","type-ensino_fundamental","status-publish","has-post-thumbnail","hentry","ef_categoria-ciclo-da-adolescencia-fg","ef_categoria-educacao-financeira-e-empreendedorismo-ciclo-da-adolescencia-fg","ef_ano-7o-ano","ef_componente-matematica","entry","has-media"],"acf":[],"_links":{"self":[{"href":"https:\/\/sme.goiania.go.gov.br\/conexaoescola\/wp-json\/wp\/v2\/ensino_fundamental\/138109","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/sme.goiania.go.gov.br\/conexaoescola\/wp-json\/wp\/v2\/ensino_fundamental"}],"about":[{"href":"https:\/\/sme.goiania.go.gov.br\/conexaoescola\/wp-json\/wp\/v2\/types\/ensino_fundamental"}],"author":[{"embeddable":true,"href":"https:\/\/sme.goiania.go.gov.br\/conexaoescola\/wp-json\/wp\/v2\/users\/60"}],"version-history":[{"count":8,"href":"https:\/\/sme.goiania.go.gov.br\/conexaoescola\/wp-json\/wp\/v2\/ensino_fundamental\/138109\/revisions"}],"predecessor-version":[{"id":189444,"href":"https:\/\/sme.goiania.go.gov.br\/conexaoescola\/wp-json\/wp\/v2\/ensino_fundamental\/138109\/revisions\/189444"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/sme.goiania.go.gov.br\/conexaoescola\/wp-json\/wp\/v2\/media\/138112"}],"wp:attachment":[{"href":"https:\/\/sme.goiania.go.gov.br\/conexaoescola\/wp-json\/wp\/v2\/media?parent=138109"}],"wp:term":[{"taxonomy":"ef_categoria","embeddable":true,"href":"https:\/\/sme.goiania.go.gov.br\/conexaoescola\/wp-json\/wp\/v2\/ef_categoria?post=138109"},{"taxonomy":"ef_ano","embeddable":true,"href":"https:\/\/sme.goiania.go.gov.br\/conexaoescola\/wp-json\/wp\/v2\/ef_ano?post=138109"},{"taxonomy":"ef_componente","embeddable":true,"href":"https:\/\/sme.goiania.go.gov.br\/conexaoescola\/wp-json\/wp\/v2\/ef_componente?post=138109"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}