{"id":132544,"date":"2021-10-08T11:46:58","date_gmt":"2021-10-08T14:46:58","guid":{"rendered":"https:\/\/sme.goiania.go.gov.br\/conexaoescola\/?post_type=eaja&#038;p=132544"},"modified":"2021-12-22T10:42:04","modified_gmt":"2021-12-22T12:42:04","slug":"matematica-monomios-e-polinomios","status":"publish","type":"eaja","link":"https:\/\/sme.goiania.go.gov.br\/conexaoescola\/eaja\/matematica-monomios-e-polinomios\/","title":{"rendered":"Matem\u00e1tica &#8211; Mon\u00f4mios e polin\u00f4mios"},"content":{"rendered":"\n<p class=\"has-black-color has-vivid-cyan-blue-background-color has-text-color has-background\" style=\"font-size:25px\">Ol\u00e1! Esta aula de&nbsp;<strong>Matem\u00e1tica&nbsp;<\/strong>\u00e9 destinada a educandos da<strong>&nbsp;7\u00aa S\u00e9rie<\/strong>&nbsp;da Eaja.<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full is-resized\"><img fetchpriority=\"high\" decoding=\"async\" src=\"https:\/\/sme.goiania.go.gov.br\/conexaoescola\/wp-content\/uploads\/2021\/10\/pasted-image-0-4D-e1633703471782.png\" alt=\"\" class=\"wp-image-132546\" width=\"376\" height=\"376\" srcset=\"https:\/\/sme.goiania.go.gov.br\/conexaoescola\/wp-content\/uploads\/2021\/10\/pasted-image-0-4D-e1633703471782.png 720w, https:\/\/sme.goiania.go.gov.br\/conexaoescola\/wp-content\/uploads\/2021\/10\/pasted-image-0-4D-e1633703471782-300x300.png 300w, https:\/\/sme.goiania.go.gov.br\/conexaoescola\/wp-content\/uploads\/2021\/10\/pasted-image-0-4D-e1633703471782-150x150.png 150w\" sizes=\"(max-width: 376px) 100vw, 376px\" \/><figcaption>Matem\u00e1tica Pagar Escola &#8211; Imagens gr\u00e1tis no Pixabay  <\/figcaption><\/figure><\/div>\n\n\n\n<p class=\"has-black-color has-cyan-bluish-gray-background-color has-text-color has-background\" style=\"font-size:25px\">Nesta atividade, voc\u00ea ir\u00e1 reconhecer e compreender uma express\u00e3o alg\u00e9brica, destacando os mon\u00f4mios e polin\u00f4mios, bem como os seus elementos. <\/p>\n\n\n\n<p class=\"has-text-align-center has-black-color has-pale-cyan-blue-background-color has-text-color has-background\" style=\"font-size:25px\">Assista \u00e0 videoaula do professor H\u00e9lio sobre essa tem\u00e1tica.<\/p>\n\n\n\n<figure class=\"wp-block-embed aligncenter 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=\"MON\u00d4MIOS E POLIN\u00d4MIOS | AULA 9 | 7\u00aa S\u00c9RIE - EAJA | MATEM\u00c1TICA\" width=\"1200\" height=\"675\" src=\"https:\/\/www.youtube.com\/embed\/_PEDw_P29xE?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen><\/iframe><\/p>\n<\/div><figcaption>MON\u00d4MIOS E POLIN\u00d4MIOS | AULA 9 | 7\u00aa S\u00c9RIE &#8211; EAJA | MATEM\u00c1TICA<\/figcaption><\/figure>\n\n\n\n<hr class=\"wp-block-separator\"\/>\n\n\n\n<p class=\"has-black-color has-pale-pink-background-color has-text-color has-background\" style=\"font-size:25px\"><strong>Express\u00f5es Alg\u00e9bricas (Defini\u00e7\u00e3o): <\/strong>s\u00e3o as express\u00f5es matem\u00e1ticas que utilizam as letras, os n\u00fameros e os s\u00edmbolos das opera\u00e7\u00f5es matem\u00e1ticas para realizar determinados c\u00e1lculos. As letras s\u00e3o utilizadas para expressar valores desconhecidos ou valores que podem variar. As express\u00f5es alg\u00e9bricas podem gerar uma equa\u00e7\u00e3o, desde que a express\u00e3o seja uma senten\u00e7a que possui uma igualdade.<\/p>\n\n\n\n<p class=\"has-black-color has-text-color\" style=\"font-size:25px\"><strong>Exemplos<\/strong> <\/p>\n\n\n\n<p class=\"has-black-color has-text-color\" style=\"font-size:25px\">Usando duas letras, x e y, escreva uma express\u00e3o que represente: <\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter\"><img decoding=\"async\" src=\"https:\/\/lh4.googleusercontent.com\/Peg73Y5UHN3XVPPM3mpqc8lS5O4DRyF6QRwY9CRGqmp21idlD9UHU2w5Plv1WbNyAy9vC0iOYFkCx4nnKsqjLU9HEt7GPB7hvfKGthkqHh3g-mtpIDsPXUuUU7jEUtgSmEp6eO4=s0\" alt=\"\"\/><\/figure><\/div>\n\n\n\n<p class=\"has-black-color has-light-green-cyan-background-color has-text-color has-background\" style=\"font-size:25px\"><strong>Valor num\u00e9rico de uma Express\u00e3o Alg\u00e9brica<\/strong> <\/p>\n\n\n\n<p class=\"has-black-color has-text-color\" style=\"font-size:25px\">Em uma express\u00e3o alg\u00e9brica, \u00e9 poss\u00edvel estimar um valor para as suas vari\u00e1veis. Quanto substitu\u00edmos as vari\u00e1veis de uma EA por n\u00fameros e efetuamos os c\u00e1lculos indicados, obtemos o <strong>VALOR NUM\u00c9RICO DA EXPRESS\u00c3O <\/strong>dada para esses n\u00fameros. <\/p>\n\n\n\n<p class=\"has-black-color has-text-color\" style=\"font-size:25px\"><strong>Exemplo<\/strong>: <\/p>\n\n\n\n<p class=\"has-black-color has-text-color\" style=\"font-size:25px\">As f\u00e1bricas de cal\u00e7ados utilizam a f\u00f3rmula matem\u00e1tica abaixo para determinar a numera\u00e7\u00e3o dos cal\u00e7ados, na qual <em>S <\/em>\u00e9 o n\u00famero do sapato e <em>p <\/em>\u00e9 o comprimento do p\u00e9, em cent\u00edmetros. Qual \u00e9 o n\u00famero do sapato de uma pessoa cujo p\u00e9 tem 24 cent\u00edmetros de comprimento? <\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter is-resized\"><img decoding=\"async\" src=\"https:\/\/lh4.googleusercontent.com\/8CNhmfEfxOrPl_afSpPHdPIheXWcmeQTCqxcEi97zh065NToNGciSKqlgzNQH9RJsapbQ7710RMGoM9MjpD-GtzNmpejMy54oou32w91zOZnIAC-_qQ7mmu3VgdeOOwrhBUQnQo=s0\" alt=\"\" width=\"220\" height=\"65\"\/><\/figure><\/div>\n\n\n\n<p class=\"has-black-color has-text-color\" style=\"font-size:25px\">Nesse caso temos que substituir o valor de p por 24 e determinar o valor num\u00e9rico da express\u00e3o. <\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter is-resized\"><img decoding=\"async\" src=\"https:\/\/lh4.googleusercontent.com\/yB2XYsdKCVoTig1wCWVspTaM-tGZ1I0vHRtvAhZMG64tqch0DZkxfFlZlFiTks2buTIVMXu2qe30tE8PelOBXc5xAprEmE7DAa5vUGp47Kb148rgINiETQdt1O4EtU3M9gdxTdA=s0\" alt=\"\" width=\"391\" height=\"67\"\/><\/figure><\/div>\n\n\n\n<p class=\"has-black-color has-text-color\" style=\"font-size:25px\">Logo o n\u00famero do sapato deve ser 37. <\/p>\n\n\n\n<p class=\"has-text-align-center has-black-color has-vivid-green-cyan-background-color has-text-color has-background\" style=\"font-size:25px\"><strong>Mon\u00f4mios e Polin\u00f4mios<\/strong> <\/p>\n\n\n\n<p class=\"has-black-color has-text-color\" style=\"font-size:25px\">S\u00e3o casos particulares de express\u00f5es alg\u00e9bricas <\/p>\n\n\n\n<p class=\"has-black-color has-pale-pink-background-color has-text-color has-background\" style=\"font-size:25px\"><strong>Mon\u00f4mios (Defini\u00e7\u00e3o):<\/strong> denomina-se <strong>mon\u00f4mio <\/strong>ou <strong>termo alg\u00e9brico <\/strong>toda express\u00e3o alg\u00e9brica representada apenas por um n\u00famero, ou apenas por uma vari\u00e1vel, ou por uma multiplica\u00e7\u00e3o de n\u00fameros e vari\u00e1veis, em que a vari\u00e1vel n\u00e3o esteja nem no denominador nem no radical. Ele \u00e9 composto por duas partes: a <strong>parte literal<\/strong>, que s\u00e3o as letras que comp\u00f5e o termo, e o <strong>coeficiente<\/strong>, que \u00e9 o n\u00famero que acompanha o termo.<\/p>\n\n\n\n<p class=\"has-black-color has-text-color\" style=\"font-size:25px\"><strong>Exemplos<\/strong><strong>&nbsp;<\/strong><\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/lh6.googleusercontent.com\/zmdG9l8AOUJGRtPQrHgjEeKXAoVyDMMJeRwzftD2RQt5l8Jc18tV169ZD4NwEdbsxVz4tVo_Poo6mdL32VMklh5qzWV-XhPIAYu99IDYJNYOxO7j3Yz-_sDm-Gb7f5tnDGFZYJI=s0\" alt=\"\" width=\"683\" height=\"121\"\/><figcaption>Imagem dispon\u00edvel em: PNLD A Conquista da Matem\u00e1tica, Jos\u00e9 Ruy Giovanni, vol. 8 p.108<\/figcaption><\/figure><\/div>\n\n\n\n<p class=\"has-black-color has-pale-pink-background-color has-text-color has-background\" style=\"font-size:25px\"><strong>Grau de um mon\u00f4mio (Defini\u00e7\u00e3o):<\/strong> o grau de um mon\u00f4mio com coeficiente n\u00e3o nulo \u00e9 dado pela soma dos expoentes das vari\u00e1veis. <\/p>\n\n\n\n<p class=\"has-black-color has-text-color\" style=\"font-size:25px\"><strong>Exemplos<\/strong><\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter\"><img decoding=\"async\" src=\"https:\/\/lh3.googleusercontent.com\/yv8PiGnvlEtg4_T3kX0gZ1he1rQNFh4skF7epBOIcXs1vGmDfCf1-Ysxp7NuvxnMx03DGIInLRR9w-yenV38RIlI2ZWL4sJtmVwaTk-MQZf9t1Lb_bAEQr1SfUaI5yZjt1_2ISg=s0\" alt=\"\"\/><\/figure><\/div>\n\n\n\n<p class=\"has-black-color has-pale-pink-background-color has-text-color has-background\" style=\"font-size:25px\"><strong>Mon\u00f4mios semelhantes (Defini\u00e7\u00e3o): <\/strong>s\u00e3o aqueles mon\u00f4mios que possuem a mesma parte literal. <\/p>\n\n\n\n<p class=\"has-black-color has-text-color\" style=\"font-size:25px\"><strong>Exemplos<\/strong> <\/p>\n\n\n\n<p class=\"has-black-color has-text-color\" style=\"font-size:25px\">S\u00e3o semelhantes os mon\u00f4mios:<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter\"><img decoding=\"async\" src=\"https:\/\/lh6.googleusercontent.com\/yfntQ6jpXrGMschqtC6kC-EcFBdIlTswjAWGujYBV0IN7eNB7d_-OV6bKvvEANgV0JWPBHgtvHCKDmTGRuD5YY_edhOfSq5ZWKtdWz6vyTqAGNrPxfaT4jtlYxfYLkwjNnuGL-w=s0\" alt=\"\"\/><\/figure><\/div>\n\n\n\n<p class=\"has-black-color has-pale-pink-background-color has-text-color has-background\" style=\"font-size:25px\"><strong>Polin\u00f4mios (Defini\u00e7\u00e3o):<\/strong> s\u00e3o adi\u00e7\u00f5es alg\u00e9bricas (adi\u00e7\u00e3o ou subtra\u00e7\u00e3o) composta exclusivamente por mon\u00f4mios.&nbsp; <\/p>\n\n\n\n<p class=\"has-black-color has-pale-pink-background-color has-text-color has-background\" style=\"font-size:25px\"><strong>Grau de um polin\u00f4mio (Defini\u00e7\u00e3o):<\/strong> o grau de um polin\u00f4mio \u00e9 dado por seu termo de maior grau. <\/p>\n\n\n\n<p class=\"has-black-color has-text-color\" style=\"font-size:25px\"><strong>Exemplos<\/strong><\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter\"><img decoding=\"async\" src=\"https:\/\/lh6.googleusercontent.com\/LYDAWh3myjLEFIRWBGugZV0dsUPjDeRfNYvmbKMdrYGZOcA_H3tktEDTWCU6wob-NgyIYDZ3rVJjtWYj9RGsE3yEgEkLrFU6Qav9t3G1JgTJvpJb4InlmYP2bC3xWvbcerTykI8=s0\" alt=\"\"\/><\/figure><\/div>\n\n\n\n<p class=\"has-black-color has-text-color\" style=\"font-size:25px\">Observa\u00e7\u00e3o:<\/p>\n\n\n\n<ul class=\"has-black-color has-text-color wp-block-list\" style=\"font-size:25px\"><li>Qualquer mon\u00f4mio \u00e9 considerado um polin\u00f4mio<\/li><li>Bin\u00f4mio: \u00e9 um polin\u00f4mio de 2 termos<\/li><li>Trin\u00f4mio: \u00e9 um polin\u00f4mio de 3 termos<\/li><\/ul>\n\n\n\n<p class=\"has-text-align-center has-black-color has-pale-cyan-blue-background-color has-text-color has-background\" style=\"font-size:25px\"><strong>Problemas com Resolu\u00e7\u00e3o&nbsp;<\/strong><\/p>\n\n\n\n<p class=\"has-black-color has-text-color\" style=\"font-size:25px\"><strong>POLIN\u00d4MIOS<\/strong><\/p>\n\n\n\n<ol class=\"has-black-color has-text-color wp-block-list\" style=\"font-size:25px\"><li>Em uma partida de basquete uma jogadora acertou x cestas de 2 pontos e y cestas de 3 pontos. Escreva um polin\u00f4mio que representa a quantidade de pontos que essa jogadora marcou nessa partida.<\/li><\/ol>\n\n\n\n<p class=\"has-black-color has-text-color\" style=\"font-size:25px\">Devemos multiplicar 2 pelo total de cestas que ela fez de 2 pontos e 3 pelo total de cestas que ela marcou de 3 pontos, em seguida fazer a adi\u00e7\u00e3o. <\/p>\n\n\n\n<p class=\"has-black-color has-text-color\" style=\"font-size:25px\">Portanto o polin\u00f4mio ser\u00e1: 2.x + 3.y ou simplesmente 2x+3y<\/p>\n\n\n\n<ol start=\"2\" class=\"has-black-color has-text-color wp-block-list\" style=\"font-size:25px\"><li>Uma empresa de aluguel de carros cobra uma taxa fixa de R$ 200,00 mais R$ 3,00 por quil\u00f4metro rodado. Qual polin\u00f4mio vai expressar o valor a ser pago por uma pessoa que percorre <em>x <\/em>quil\u00f4metros com um carro dessa empresa?<\/li><\/ol>\n\n\n\n<p class=\"has-black-color has-text-color\" style=\"font-size:25px\">Basta multiplicar 3,00 por x e somar 200. <\/p>\n\n\n\n<p class=\"has-black-color has-text-color\" style=\"font-size:25px\">Portanto o polin\u00f4mio ser\u00e1: 3,00.x + 200 ou 3x+200 ou 200+3x <\/p>\n\n\n\n<p class=\"has-black-color has-text-color\" style=\"font-size:25px\"><strong>EXPRESS\u00d5ES ALG\u00c9BRICAS<\/strong><\/p>\n\n\n\n<ol class=\"has-black-color has-text-color wp-block-list\" style=\"font-size:25px\"><li>Um modelo matem\u00e1tico mostra que o n\u00famero <em>N <\/em>de pessoas que compram determinado produto ap\u00f3s <em>t <\/em>dias de veicula\u00e7\u00e3o publicit\u00e1ria \u00e9 dado pela express\u00e3o alg\u00e9brica abaixo. De acordo com esse modelo, quantas pessoas comprar\u00e3o o produto ap\u00f3s 5 dias de veicula\u00e7\u00e3o?<\/li><\/ol>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/lh4.googleusercontent.com\/L1WOr52bzcbS8HgOs35iq9jmE3Lri0XFDAbjSG3tH2X9WR5trWB3hknBF7capmRdeKSYnEsxp3pScrXB4_3Ivxgcr70vy2fcASfhxEysymWPRMvJCpUOlgd0B9Flmn96tpOC8ZM=s0\" alt=\"\" width=\"271\" height=\"42\"\/><\/figure><\/div>\n\n\n\n<p class=\"has-black-color has-text-color\" style=\"font-size:25px\">Nesse caso temos que substituir t por 5.<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter\"><img decoding=\"async\" src=\"https:\/\/lh6.googleusercontent.com\/CweAGR8mTfReXf2984_i3V7HLUvDocYDEdbKFpgL3qQW0L3d3bpHGuBhZUc2QJb1fPTJo8feHS53JUH1hsdYvODksmCzg90AmDLegEZf_8CTAL2dHo1VUCEJB6kbmORw7Q2NH0E=s0\" alt=\"\"\/><\/figure><\/div>\n\n\n\n<ol start=\"2\" class=\"has-black-color has-text-color wp-block-list\" style=\"font-size:25px\"><li>Na igualdade abaixo, temos que T = 21 e M = 4. Determinar o valor de V.<\/li><\/ol>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/lh3.googleusercontent.com\/vk0sz9bADUBaLr8l48SeHrCqV3fiqOh8_5It9PfjhyOtrrUfwjxq9C6fihNr5s0RbeEPsGroIt7GUxN-K9T2sv1ooNJgfldEgArtyzgt66EoZZokd99G04dOQ0eXfyWZlp-KbG0=s0\" alt=\"\" width=\"130\" height=\"78\"\/><\/figure><\/div>\n\n\n\n<p class=\"has-black-color has-text-color\" style=\"font-size:25px\">Substituindo os valores de T e M obtemos:<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/lh4.googleusercontent.com\/x1gsik_d8XevFmfbMf-MXk9TcU4YUHPU6pqz-f6-NOd3b5QKNlxCJPc-toXPkzcgBKsgEBZhC7qDtP2gDzef6Y_HFR6FgMxBSqXjSATBNrODlCyg5nFAxy1QgXY6tsZDjQUucbc=s0\" alt=\"\" width=\"263\" height=\"75\"\/><\/figure><\/div>\n\n\n\n<p class=\"has-text-align-center has-black-color has-pale-cyan-blue-background-color has-text-color has-background\" style=\"font-size:25px\"><strong>Problemas propostos<\/strong> <\/p>\n\n\n\n<ol class=\"has-black-color has-text-color wp-block-list\" style=\"font-size:25px\"><li>Determine o valor de y na igualdade abaixo, para x = 3.<\/li><\/ol>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/lh5.googleusercontent.com\/kltcDRncsL-WV9-ioDtEdA1g0HCLOJWAaUW-p9Grn0NGr_E5II1wEmIfCpysWXh3I6xFZ8Wdr22Rg21fNVdmhx8zA3JwBFqtTphL0dmPzvNd13AZ0a4ttQfu9hb21WolT_toTAk=s0\" alt=\"\" width=\"197\" height=\"70\"\/><\/figure><\/div>\n\n\n\n<ol start=\"2\" class=\"has-black-color has-text-color wp-block-list\" style=\"font-size:25px\"><li>O valor de p \u00e9 dado pela express\u00e3o alg\u00e9brica abaixo. Qual o valor de p para a=2 , b=-3 e c=5<\/li><\/ol>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/lh3.googleusercontent.com\/a87ilS6Ak5Eocnfg0Mdtmh7l3xFA77P7DmRITJpiCczR7zCpiBN7dx86VznevoqyJll0SACrBePrKJ2GtbgNF7GklYWKKAMChan-_lPnPmLCNeVXCY7ZPt_GrAH1PzewC8eq5nA=s0\" alt=\"\" width=\"201\" height=\"78\"\/><\/figure><\/div>\n\n\n\n<ol start=\"3\" class=\"has-black-color has-text-color wp-block-list\" style=\"font-size:25px\"><li>Paulo vende churros a x reais cada, qual o mon\u00f4mio que representa o valor de 15 churros?<\/li><li>Em uma rodovia, o pre\u00e7o de um dos ped\u00e1gios \u00e9 R$9,20. Se nesse ped\u00e1gio passaram x carros em determinado dia, qual \u00e9 o mon\u00f4mio que expressa a arrecada\u00e7\u00e3o em reais nesse dia?&nbsp;<\/li><li>Uma empresa de aluguel de carros cobra uma taxa fixa de R$ 200,00 mais R$ 3,00 por quil\u00f4metro rodado. Qual polin\u00f4mio vai expressar o valor a ser pago por uma pessoa que percorre <em>x <\/em>quil\u00f4metros com um carro dessa empresa?<\/li><\/ol>\n\n\n\n<p class=\"has-black-color has-pale-cyan-blue-background-color has-text-color has-background\" style=\"font-size:25px\">Assista aos v\u00eddeos no canal do Prof. H\u00e9lio para aprender um pouco mais. Link: <a href=\"https:\/\/youtu.be\/OTc-9pLAmNc\">https:\/\/youtu.be\/OTc-9pLAmNc<\/a>&nbsp;<\/p>\n\n\n\n<hr class=\"wp-block-separator\"\/>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td><strong>Objetivos de Aprendizagem e Desenvolvimento<\/strong>:<\/td><td>(EAJAMA0707) Reconhecer e compreender uma express\u00e3o alg\u00e9brica, destacando dentre elas os mon\u00f4mios e polin\u00f4mios (bin\u00f4mio, trin\u00f4mio, etc.), bem como os seus elementos: coeficientes, partes literais e respectivos graus.<\/td><\/tr><tr><td><strong>Refer\u00eancias<\/strong>:<\/td><td>GIOVANNI J\u00daNIOR, Jos\u00e9 Ruy &#8211; A conquista da matem\u00e1tica: 8o ano: ensino fundamental: anos finais \/ Jos\u00e9 Ruy Giovanni J\u00fanior, Benedicto Castrucci. \u2014 4. ed. \u2014 S\u00e3o Paulo: FTD, 2018. <br>SOUZA, Joamir Roberto de: Matem\u00e1tica realidade &amp; tecnologia: 8\u00ba ano: ensino fundamental: anos finais \/ Joamir Roberto de Souza. \u2013 1. ed. \u2013 S\u00e3o Paulo: FTD, 2018.<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"has-cyan-bluish-gray-background-color has-background\" style=\"font-size:25px\"> Professor, essa aula segue a Matriz Estruturante para a Eaja 2021. Foi elaborada no ano de 2020, com a suspens\u00e3o das aulas presenciais devido a pandemia da Covid-19 e segue as orienta\u00e7\u00f5es de flexibiliza\u00e7\u00e3o curricular para o bi\u00eanio 2020\/2021 (Of\u00edcio Circular 149\/2020 Dirped). <\/p>\n","protected":false},"author":42,"featured_media":132546,"template":"","meta":{"_acf_changed":false,"ocean_post_layout":"","ocean_both_sidebars_style":"","ocean_both_sidebars_content_width":0,"ocean_both_sidebars_sidebars_width":0,"ocean_sidebar":"","ocean_second_sidebar":"","ocean_disable_margins":"enable","ocean_add_body_class":"","ocean_shortcode_before_top_bar":"","ocean_shortcode_after_top_bar":"","ocean_shortcode_before_header":"","ocean_shortcode_after_header":"","ocean_has_shortcode":"","ocean_shortcode_after_title":"","ocean_shortcode_before_footer_widgets":"","ocean_shortcode_after_footer_widgets":"","ocean_shortcode_before_footer_bottom":"","ocean_shortcode_after_footer_bottom":"","ocean_display_top_bar":"default","ocean_display_header":"default","ocean_header_style":"","ocean_center_header_left_menu":"","ocean_custom_header_template":"","ocean_custom_logo":0,"ocean_custom_retina_logo":0,"ocean_custom_logo_max_width":0,"ocean_custom_logo_tablet_max_width":0,"ocean_custom_logo_mobile_max_width":0,"ocean_custom_logo_max_height":0,"ocean_custom_logo_tablet_max_height":0,"ocean_custom_logo_mobile_max_height":0,"ocean_header_custom_menu":"","ocean_menu_typo_font_family":"","ocean_menu_typo_font_subset":"","ocean_menu_typo_font_size":0,"ocean_menu_typo_font_size_tablet":0,"ocean_menu_typo_font_size_mobile":0,"ocean_menu_typo_font_size_unit":"px","ocean_menu_typo_font_weight":"","ocean_menu_typo_font_weight_tablet":"","ocean_menu_typo_font_weight_mobile":"","ocean_menu_typo_transform":"","ocean_menu_typo_transform_tablet":"","ocean_menu_typo_transform_mobile":"","ocean_menu_typo_line_height":0,"ocean_menu_typo_line_height_tablet":0,"ocean_menu_typo_line_height_mobile":0,"ocean_menu_typo_line_height_unit":"","ocean_menu_typo_spacing":0,"ocean_menu_typo_spacing_tablet":0,"ocean_menu_typo_spacing_mobile":0,"ocean_menu_typo_spacing_unit":"","ocean_menu_link_color":"","ocean_menu_link_color_hover":"","ocean_menu_link_color_active":"","ocean_menu_link_background":"","ocean_menu_link_hover_background":"","ocean_menu_link_active_background":"","ocean_menu_social_links_bg":"","ocean_menu_social_hover_links_bg":"","ocean_menu_social_links_color":"","ocean_menu_social_hover_links_color":"","ocean_disable_title":"default","ocean_disable_heading":"default","ocean_post_title":"","ocean_post_subheading":"","ocean_post_title_style":"","ocean_post_title_background_color":"","ocean_post_title_background":0,"ocean_post_title_bg_image_position":"","ocean_post_title_bg_image_attachment":"","ocean_post_title_bg_image_repeat":"","ocean_post_title_bg_image_size":"","ocean_post_title_height":0,"ocean_post_title_bg_overlay":0.5,"ocean_post_title_bg_overlay_color":"","ocean_disable_breadcrumbs":"default","ocean_breadcrumbs_color":"","ocean_breadcrumbs_separator_color":"","ocean_breadcrumbs_links_color":"","ocean_breadcrumbs_links_hover_color":"","ocean_display_footer_widgets":"default","ocean_display_footer_bottom":"default","ocean_custom_footer_template":""},"eaja_categoria":[69],"serie":[76],"eaja_componente":[78],"class_list":["post-132544","eaja","type-eaja","status-publish","has-post-thumbnail","hentry","eaja_categoria-2o-segmento-7a-e-8a-serie","serie-7a-serie","eaja_componente-matematica","entry","has-media"],"acf":[],"_links":{"self":[{"href":"https:\/\/sme.goiania.go.gov.br\/conexaoescola\/wp-json\/wp\/v2\/eaja\/132544","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/sme.goiania.go.gov.br\/conexaoescola\/wp-json\/wp\/v2\/eaja"}],"about":[{"href":"https:\/\/sme.goiania.go.gov.br\/conexaoescola\/wp-json\/wp\/v2\/types\/eaja"}],"author":[{"embeddable":true,"href":"https:\/\/sme.goiania.go.gov.br\/conexaoescola\/wp-json\/wp\/v2\/users\/42"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/sme.goiania.go.gov.br\/conexaoescola\/wp-json\/wp\/v2\/media\/132546"}],"wp:attachment":[{"href":"https:\/\/sme.goiania.go.gov.br\/conexaoescola\/wp-json\/wp\/v2\/media?parent=132544"}],"wp:term":[{"taxonomy":"eaja_categoria","embeddable":true,"href":"https:\/\/sme.goiania.go.gov.br\/conexaoescola\/wp-json\/wp\/v2\/eaja_categoria?post=132544"},{"taxonomy":"serie","embeddable":true,"href":"https:\/\/sme.goiania.go.gov.br\/conexaoescola\/wp-json\/wp\/v2\/serie?post=132544"},{"taxonomy":"eaja_componente","embeddable":true,"href":"https:\/\/sme.goiania.go.gov.br\/conexaoescola\/wp-json\/wp\/v2\/eaja_componente?post=132544"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}