{"id":139732,"date":"2022-03-28T13:40:17","date_gmt":"2022-03-28T16:40:17","guid":{"rendered":"https:\/\/sme.goiania.go.gov.br\/conexaoescola\/?post_type=ensino_fundamental&#038;p=139732"},"modified":"2024-01-12T14:06:35","modified_gmt":"2024-01-12T17:06:35","slug":"matematica-numeros-racionais","status":"publish","type":"ensino_fundamental","link":"https:\/\/sme.goiania.go.gov.br\/conexaoescola\/ensino_fundamental\/matematica-numeros-racionais\/","title":{"rendered":"Matem\u00e1tica- N\u00fameros Racionais (2)"},"content":{"rendered":"\n<p class=\"has-text-align-center has-black-color has-text-color has-background has-medium-font-size\" style=\"background-color:#d88b8b\">Esta atividade tem como base as sequ\u00eancias did\u00e1ticas propostas pelo <strong>Programa Aprender Sempre<\/strong>, da SME-Goi\u00e2nia, com base no DC\/GO &#8211; Ampliado e est\u00e1 destinada a estudantes do <strong>9\u00ba ano 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=17Y_lhhEYIe5L5_XhanL5vkeCiDmLU4t1\" 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=16o7HDbViqGUyDgQT-HRRN7TO7XDQ9WTu\" 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=1e4SnXsFiQaJVPJE9GgKiWbKqpJkuXDi4\" target=\"_blank\" rel=\"noreferrer noopener\">BAIXE O TEXTO<\/a><\/div>\n<\/div>\n\n\n\n<p class=\"has-text-align-center has-medium-font-size\"><strong><img fetchpriority=\"high\" decoding=\"async\" width=\"459\" height=\"354\" src=\"https:\/\/lh5.googleusercontent.com\/qdalvfrHXTbOxmvHPvNVtct22W3LLj-C9WP4TeBJ_kCUKB8vlwOSoB9AIakIkq8ozzhlJfoY43mNpm1qtO6Fknq3S3n8EAIbCV3p0pf9OAFymeYw2UZfdkb_Oc4ugz9Q49QCTBKjjxle\"><\/strong><\/p>\n\n\n\n<p class=\"has-text-align-center has-black-color has-text-color has-small-font-size\">Dispon\u00edvel em: &lt;a href=&#8217;https:\/\/br.freepik.com\/fotos-vetores-gratis\/fundo&#8217;&gt;Fundo vetor criado por pch.vector &#8211; br.freepik.com&lt;\/a&gt;- \u00faltimo acesso em 12 de mar\u00e7o de 2023.<\/p>\n\n\n\n<p class=\"has-text-align-left has-medium-font-size\">Os n\u00fameros Racionais surgiram no Egito de acordo com a necessidade de divis\u00e3o de terras. Eles s\u00e3o os n\u00fameros que podem ser representados na forma de fra\u00e7\u00e3o, com numerador e denominador n\u00fameros inteiros, sendo que o denominador n\u00e3o pode ser igual a zero.<\/p>\n\n\n\n<p class=\"has-text-align-left has-medium-font-size\">Podemos observ\u00e1-los nas pesquisas estat\u00edsticas, medidas de tempo e dist\u00e2ncia, em c\u00e1lculos do sistema monet\u00e1rio, medi\u00e7\u00f5es e em v\u00e1rias outras situa\u00e7\u00f5es.&nbsp;<\/p>\n\n\n\n<p class=\"has-text-align-left has-medium-font-size\">Al\u00e9m da forma fracion\u00e1ria podem ser representados nas formas decimal e de porcentagem.<\/p>\n\n\n\n<p class=\"has-text-align-center has-medium-font-size\"><strong>Potencia\u00e7\u00e3o com n\u00fameros racionais<\/strong><\/p>\n\n\n\n<p class=\"has-text-align-left has-medium-font-size\">A potencia\u00e7\u00e3o \u00e9 a opera\u00e7\u00e3o matem\u00e1tica usada para representar multiplica\u00e7\u00e3o com fatores iguais.<\/p>\n\n\n<div class=\"wp-block-image is-style-default\">\n<figure class=\"aligncenter is-resized\"><img decoding=\"async\" src=\"https:\/\/lh4.googleusercontent.com\/A_2wpjYW9Oe8c1oe6YvnIjIk7Tcz4QVvuzGmGFx6WhHPMgihVWAB0-bgzMyz8beQ7jq_AfAvtYHEJx-Pih1UoDYpUI4fUGS5nszk3dngEv4vAqZt0WA63WEG0LgssPmRwWiP8lamuGmkp5EjT1WVZQ\" alt=\"\" width=\"267\" height=\"201\"\/><\/figure><\/div>\n\n\n<p class=\"has-black-color has-text-color has-medium-font-size\">Veja o seguinte exemplo:<\/p>\n\n\n\n<p class=\"has-text-align-center\"><img decoding=\"async\" width=\"386\" height=\"197\" src=\"https:\/\/lh3.googleusercontent.com\/tvtLQrMURL-J1DSZMLpWbfFNeSwBFzRzWPB6LN_kRJnlUDe-FfaEEttafYWIUv6abbD54ZNc8TRyKbuVh3T8i1TRTzfSPqpZPi6lxJGV8A6leOrdXToRaZ_c742W0uYZFrgycJ_OlpHrRFr6zfH8tw\"><\/p>\n\n\n\n<p class=\"has-black-color has-text-color has-medium-font-size\">Conforme podemos observar, para resolver 5\u00b2 (cinco elevado ao quadrado), devemos realizar uma multiplica\u00e7\u00e3o. O n\u00famero 5 \u00e9 a base e o n\u00famero 2 \u00e9 o expoente.<\/p>\n\n\n\n<p class=\"has-black-color has-text-color has-medium-font-size\">Dentro do conjunto dos n\u00fameros racionais resolvemos essa opera\u00e7\u00e3o matem\u00e1tica da mesma forma, veja alguns exemplos:<\/p>\n\n\n<div class=\"wp-block-image is-style-default\">\n<figure class=\"aligncenter is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/lh4.googleusercontent.com\/2eocEKNLxo1-HvjBN_E88b4IPv310tDEngMakKUc2aCTkLJxZMk_641th-NX_vaQecOGXaqAct9pgJgY1Bgd-e5Usz6tyr2E7vJ8CW2mNXIHEL4mKcFZfJ7lgMjKjxnSmHkmB6K1UlFT\" alt=\"\" width=\"289\" height=\"102\"\/><\/figure><\/div>\n\n\n<p class=\"has-text-align-center has-black-color has-text-color has-medium-font-size\"><strong>Radicia\u00e7\u00e3o com n\u00fameros racionais<\/strong><\/p>\n\n\n\n<p class=\"has-black-color has-text-color has-medium-font-size\">\u201cA radicia\u00e7\u00e3o \u00e9 a opera\u00e7\u00e3o matem\u00e1tica inversa da potencia\u00e7\u00e3o. Desta forma, podemos encontrar o resultado de uma raiz buscando a potencia\u00e7\u00e3o, que tem como resultado a raiz proposta.\u201d&nbsp; (ASTH, 2021)<\/p>\n\n\n<div class=\"wp-block-image is-style-default\">\n<figure class=\"aligncenter is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/lh5.googleusercontent.com\/z4BL0NoKnZKlPA-enUowwz0s8EZwumkpCBnJvGOS1HitB_nDGmyscI40Z8MZD50BGj4KPIxScU_y252z8B3-1TyntqWmaK6kHWAGGtiQ4l2QhU0Yr_bmWMAMh0BMqgLMcq5aq0mmjg745N73HbpzPA\" alt=\"\" width=\"259\" height=\"128\"\/><\/figure><\/div>\n\n\n<p class=\"has-black-color has-text-color has-medium-font-size\">Quando o \u00edndice \u00e9 2 n\u00e3o precisamos escrev\u00ea-lo:<\/p>\n\n\n<div class=\"wp-block-image is-style-default\">\n<figure class=\"aligncenter is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/lh6.googleusercontent.com\/344dcvN9zN2SNtdWdvPObCDYx5g8lqA0bi49D3kgS2spqrtk8OzkBrueYAPi5K1cWkBB99qUELMSj0A6Tz4Jevu_u2i9PWYg3G4up7XAIya4W962XFWY5xsF0vFrvfJkJLMMVVzi7J5cZipJeAGLhA\" alt=\"\" width=\"507\" height=\"54\"\/><\/figure><\/div>\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\"><img decoding=\"async\" src=\"https:\/\/lh5.googleusercontent.com\/BvVUsWtXEemqOy4EQlaZlZ5LrekpAETHpMwL4OFDuw3dggrNIKFiI1TmYj0vhDxT3_7P7NQB45pLQ22xiOo2pIZkKyhPF8bGup7llR290Y4MrMLF4hMp14r56Xtjh4eVxM_kPgWUsItw\" alt=\"\"\/><\/figure><\/div>\n\n\n<p><\/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:#88d1fc\">Assista a videoaula da 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 - 9\u00ba Ano - 2\u00ba Bim - Videoaula 1 -  N\u00fameros racionais\" width=\"1200\" height=\"675\" src=\"https:\/\/www.youtube.com\/embed\/UzVoEz0v8wM?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" allowfullscreen><\/iframe><\/p>\n<\/div><\/figure>\n\n\n\n<p class=\"has-text-align-center\"><strong>VAMOS RESPONDER ALGUMAS QUEST\u00d5ES?<\/strong><\/p>\n\n\n\n<p class=\"has-text-align-center\"><\/p>\n\n\n\n<p class=\"has-black-color has-text-color has-background has-medium-font-size\" style=\"background-color:#dd9191\"><strong>Quest\u00e3o 1<\/strong><\/p>\n\n\n\n<p class=\"has-medium-font-size\">Na&nbsp;<strong>radicia\u00e7\u00e3o<\/strong>, quando aplicamos a raiz quadrada a um n\u00famero racional, estamos aplicando essa raiz ao numerador e ao denominador. Dessa forma, calcule o valor das ra\u00edzes:&nbsp;<\/p>\n\n\n\n<p class=\"has-medium-font-size\">a) <img loading=\"lazy\" decoding=\"async\" width=\"84\" height=\"53\" src=\"https:\/\/lh3.googleusercontent.com\/iJoFq7G32YA_1u5NPvXSwyL8HXrWglotZgZ3ZONk0A9dVfzEFBQzVBgnoW6db1QBc9la9E0jCAEpfgvQq3MGw3Voi-EYmu14WSyHVdRChZxxrYArjxzhUNlJ0cVW13-lDGePjDV4\"><\/p>\n\n\n\n<p class=\"has-medium-font-size\">b) <img loading=\"lazy\" decoding=\"async\" width=\"71\" height=\"92\" src=\"https:\/\/lh3.googleusercontent.com\/dKKfmATWgHAzYgcHTiIxO-UfIIk96JUVEHO6kXBu7ZTW-EfPsBWhjX39R_BlZQ9scTHdwM9gQ_vInZeIvMI5Iw62AMP1NQwm8So5w595W3CkykYX-l2nlVTEdxRbeEB1PlqM6br_\"><\/p>\n\n\n\n<p class=\"has-black-color has-text-color has-background has-medium-font-size\" style=\"background-color:#d88a8a\"><strong>Quest\u00e3o 2<\/strong><\/p>\n\n\n\n<p class=\"has-black-color has-text-color has-medium-font-size\">Alice comprou um terreno retangular com as seguintes medidas:  11 m de largura por 24,75 m de comprimento.&nbsp;&nbsp;Se esse terreno tivesse o formato quadrado por\u00e9m com a mesma \u00e1rea, quantos metros teriam cada um dos seus lados?<\/p>\n\n\n\n<p class=\"has-black-color has-text-color has-medium-font-size\">a.  15 m<\/p>\n\n\n\n<p class=\"has-black-color has-text-color has-medium-font-size\">b. 15,5 m<\/p>\n\n\n\n<p class=\"has-black-color has-text-color has-medium-font-size\">c. 16,5 m<\/p>\n\n\n\n<p class=\"has-black-color has-text-color has-medium-font-size\">d. 18,5 m<\/p>\n\n\n\n<p class=\"has-black-color has-text-color has-background has-medium-font-size\" style=\"background-color:#e09090\"><strong>Quest\u00e3o 3 <\/strong><\/p>\n\n\n\n<p class=\"has-black-color has-text-color has-medium-font-size\">Jos\u00e9 fez um tanque em formato c\u00fabico para criar peixes. O volume desse tanque cheio de \u00e1gua \u00e9&nbsp;0,27m\u00b3. Usando radicia\u00e7\u00e3o, calcule as dimens\u00f5es desse tanque.<\/p>\n\n\n\n<p class=\"has-black-color has-text-color has-background has-medium-font-size\" style=\"background-color:#e09090\"><strong>Quest\u00e3o 4<\/strong><\/p>\n\n\n\n<p class=\"has-black-color has-text-color has-medium-font-size\">Dentre os n\u00fameros a seguir, qual deles n\u00e3o \u00e9 um n\u00famero racional: <\/p>\n\n\n\n<p class=\"has-black-color has-text-color has-medium-font-size\">a. 0,333&#8230; <\/p>\n\n\n\n<p class=\"has-black-color has-text-color has-medium-font-size\">b. 1,123123 <\/p>\n\n\n\n<p class=\"has-black-color has-text-color has-medium-font-size\">c. 0 <\/p>\n\n\n\n<p class=\"has-black-color has-text-color has-medium-font-size\">d. 3,12131415&#8230;<\/p>\n\n\n\n<figure class=\"wp-block-table alignfull is-style-stripes\"><table><tbody><tr><td><strong>Autoria:<\/strong><\/td><td>Priscilla Nascimento Dias, licenciada em matem\u00e1tica e pedagoga<\/td><\/tr><tr><td><strong>Componente Curricular:<\/strong><\/td><td>Matem\u00e1tica<\/td><\/tr><tr><td><strong>Habilidades:<\/strong><\/td><td>(EF07MA10) Comparar e ordenar n\u00fameros racionais em diferentes contextos e associ\u00e1-los a pontos da reta num\u00e9rica.<br>(EF07MA11-A) Compreender e utilizar a multiplica\u00e7\u00e3o e a divis\u00e3o de n\u00fameros racionais, a rela\u00e7\u00e3o entre elas e suas propriedades operat\u00f3rias, em situa\u00e7\u00f5es diversas.<br>(EF07MA11-B) Ler, interpretar, resolver, analisar e elaborar problemas com adi\u00e7\u00e3o, subtra\u00e7\u00e3o, multiplica\u00e7\u00e3o, divis\u00e3o, potencia\u00e7\u00e3o e radicia\u00e7\u00e3o de n\u00fameros racionais, a rela\u00e7\u00e3o entre elas e suas propriedades operat\u00f3rias em situa\u00e7\u00f5es diversas como o uso de escalas em mapas, o uso de representa\u00e7\u00f5es de decimais exatos, porcentagens e d\u00edzimas peri\u00f3dicas.<br>(EF07MA12) Resolver e elaborar problemas que envolvam as opera\u00e7\u00f5es com n\u00fameros racionais.<\/td><\/tr><\/tbody><\/table><\/figure>\n","protected":false},"author":60,"featured_media":139734,"template":"","ef_categoria":[16,35],"ef_ano":[92],"ef_componente":[94],"class_list":["post-139732","ensino_fundamental","type-ensino_fundamental","status-publish","has-post-thumbnail","hentry","ef_categoria-ciclo-da-adolescencia-hi","ef_categoria-educacao-financeira-e-empreendedorismo-ciclo-da-adolescencia-hi","ef_ano-9o-ano","ef_componente-matematica","entry","has-media"],"acf":[],"_links":{"self":[{"href":"https:\/\/sme.goiania.go.gov.br\/conexaoescola\/wp-json\/wp\/v2\/ensino_fundamental\/139732","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\/139732\/revisions"}],"predecessor-version":[{"id":175575,"href":"https:\/\/sme.goiania.go.gov.br\/conexaoescola\/wp-json\/wp\/v2\/ensino_fundamental\/139732\/revisions\/175575"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/sme.goiania.go.gov.br\/conexaoescola\/wp-json\/wp\/v2\/media\/139734"}],"wp:attachment":[{"href":"https:\/\/sme.goiania.go.gov.br\/conexaoescola\/wp-json\/wp\/v2\/media?parent=139732"}],"wp:term":[{"taxonomy":"ef_categoria","embeddable":true,"href":"https:\/\/sme.goiania.go.gov.br\/conexaoescola\/wp-json\/wp\/v2\/ef_categoria?post=139732"},{"taxonomy":"ef_ano","embeddable":true,"href":"https:\/\/sme.goiania.go.gov.br\/conexaoescola\/wp-json\/wp\/v2\/ef_ano?post=139732"},{"taxonomy":"ef_componente","embeddable":true,"href":"https:\/\/sme.goiania.go.gov.br\/conexaoescola\/wp-json\/wp\/v2\/ef_componente?post=139732"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}