{"id":146555,"date":"2022-08-08T07:00:00","date_gmt":"2022-08-08T10:00:00","guid":{"rendered":"https:\/\/sme.goiania.go.gov.br\/conexaoescola\/?post_type=eaja&#038;p=146555"},"modified":"2024-03-30T18:36:39","modified_gmt":"2024-03-30T21:36:39","slug":"matematica-poligonos","status":"publish","type":"eaja","link":"https:\/\/sme.goiania.go.gov.br\/conexaoescola\/eaja\/matematica-poligonos\/","title":{"rendered":"Matem\u00e1tica &#8211; Descobrindo os segredos dos pol\u00edgonos"},"content":{"rendered":"\n<p class=\"has-text-align-center has-white-background-color has-background has-medium-font-size\"><strong>Esta proposta de atividade de&nbsp;MATEM\u00c1TICA &nbsp;\u00e9 destinada aos estudantes do 4\u00ba per\u00edodo (5\u00aa S\u00e9rie)&nbsp;da Educa\u00e7\u00e3o de Jovens e Adultos \u2013 EJA<\/strong>.<\/p>\n\n\n\n<div class=\"wp-block-buttons has-custom-font-size has-small-font-size is-content-justification-center is-layout-flex wp-container-core-buttons-is-layout-16018d1d 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=douwnload&amp;id=1eRdeTJfrRud2OK_gKaSQ3ZGyzSaP62R2\" 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=douwnload&amp;id=1ckj4jriqmc-UcAC-j3mhCtZQiQtjzkx4\" 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=douwnload&amp;id=1L8zNOKb8qQQZ_FHlBy7k_491Ek3iMY-J\" target=\"_blank\" rel=\"noreferrer noopener\">BAIXE O TEXTO<\/a><\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-media-text is-stacked-on-mobile\" style=\"grid-template-columns:29% auto\"><figure class=\"wp-block-media-text__media\"><img decoding=\"async\" width=\"226\" height=\"144\" src=\"https:\/\/sme.goiania.go.gov.br\/conexaoescola\/wp-content\/uploads\/2022\/08\/PP1.png\" alt=\"\" class=\"wp-image-172670 size-full\"\/><\/figure><div class=\"wp-block-media-text__content\">\n<p class=\"has-vivid-red-color has-text-color has-medium-font-size\"><strong>O que s\u00e3o pol\u00edgonos?<\/strong><\/p>\n\n\n\n<p class=\"has-medium-font-size\">S\u00e3o figuras geom\u00e9tricas planas, (2D) <strong>fechadas<\/strong> e compostas por <strong>segmentos de ret<\/strong>a, chamados lados, que se encontram apenas em seus v\u00e9rtices.<\/p>\n\n\n\n<p>Imagem: canva.com\/pol\u00edgonos_<a href=\"https:\/\/l1nk.dev\/2ZlbL\">https:\/\/l1nk.dev\/2ZlbL<\/a><\/p>\n<\/div><\/div>\n\n\n\n<p class=\"has-vivid-red-color has-text-color has-medium-font-size\"><strong>Seus principais elementos s\u00e3o:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li class=\"has-medium-font-size\"><strong>Lados<\/strong>: s\u00e3o os segmentos de retas que formam suas bordas.<\/li>\n\n\n\n<li class=\"has-medium-font-size\"><strong>\u00c2ngulos<\/strong>: s\u00e3o aberturas formadas pelo encontro dos lados.<\/li>\n\n\n\n<li class=\"has-medium-font-size\"><strong>V\u00e9rtices<\/strong>: s\u00e3o os pontos onde os lados se encontram.<\/li>\n<\/ul>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter is-resized\"><img decoding=\"async\" src=\"https:\/\/lh7-us.googleusercontent.com\/aal8urnAdz3SogGHxCe5BUlMStFwo6RiGFka0WtED7znSmsn58QM43IQXRZRJ2FZbp38SC_YfbY3fJqWnV5G0gYJhHWQOb3VjoRMvpMQx2HUyKHB4PpoWtSiOEN54MtekG4WhGmq-Uhr\" alt=\"\" style=\"width:381px;height:144px\"\/><\/figure><\/div>\n\n\n<p class=\"has-text-align-center has-small-font-size\">Imagem do autor produzida no Geogebra<\/p>\n\n\n\n<p class=\"has-vivid-red-color has-text-color has-medium-font-size\"><strong>Onde aplicamos os pol\u00edgonos no mundo real?<\/strong><\/p>\n\n\n\n<p class=\"has-medium-font-size\">Os pol\u00edgonos t\u00eam diversas aplica\u00e7\u00f5es no mundo real, abaixo apresento algumas delas:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li class=\"has-medium-font-size\">Na constru\u00e7\u00e3o de edif\u00edcios.<\/li>\n\n\n\n<li class=\"has-medium-font-size\">Em designers gr\u00e1ficos.<\/li>\n\n\n\n<li class=\"has-medium-font-size\">Em jogos de v\u00eddeo games.<\/li>\n\n\n\n<li class=\"has-medium-font-size\">Em mapas.<\/li>\n\n\n\n<li class=\"has-medium-font-size\">Em embalagens.<\/li>\n<\/ul>\n\n\n\n<p class=\"has-medium-font-size\"><strong>Imagens:<\/strong><\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" src=\"https:\/\/lh7-us.googleusercontent.com\/R3b9oaXvFGN1UHgvCfVgUw1HrzywrbPyIguJC-l4_ceVCZcYhHEJTkMTL3qofkYe3a5d-QJfoJ_PjrEYsboc7Oane-QhX84N5oQYRHFMdhe80X455DSyS5s6TtKApVzjbXNRl3rDAd-k\" alt=\"\"\/><\/figure><\/div>\n\n\n<p class=\"has-text-align-center has-small-font-size\">Imagem: canva.com\/edif\u00edcio\/designers\/mapas\/embalagens_<a href=\"https:\/\/l1nk.dev\/2ZlbL\">https:\/\/l1nk.dev\/2ZlbL<\/a><\/p>\n\n\n\n<p class=\"has-vivid-red-color has-text-color has-medium-font-size\"><strong>Como nomeamos os pol\u00edgonos?<\/strong><\/p>\n\n\n\n<p class=\"has-medium-font-size\">Os pol\u00edgonos s\u00e3o nomeados de acordo com o n\u00famero de lados:<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter is-resized\"><img decoding=\"async\" src=\"https:\/\/lh7-us.googleusercontent.com\/hfnTusgQPFS5o46jeOP5wNJMnOcH8Mx5WOzddCV6Ijogt4wEvGdBsRRJ7YrNOXTcRvrCUifvVebbIIBv54VE3WZXL_vQbHVemHkTwdpltBNMsW4w0lPciXp_ciEXWQ8DpGDQ1qJgf7Cv\" alt=\"\" style=\"width:240px;height:187px\"\/><\/figure><\/div>\n\n\n<p class=\"has-vivid-red-color has-text-color has-medium-font-size\"><strong>Como classificamos os pol\u00edgonos?<\/strong><\/p>\n\n\n\n<p class=\"has-medium-font-size\">Os pol\u00edgonos s\u00e3o classificados em:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li class=\"has-medium-font-size\"><strong>Regulares<\/strong>: s\u00e3o pol\u00edgonos em que todos os lados t\u00eam o mesmo comprimento e todos os \u00e2ngulos t\u00eam a mesma medida.<\/li>\n\n\n\n<li class=\"has-medium-font-size\"><strong>Irregulares ou n\u00e3o regulares<\/strong>: s\u00e3o pol\u00edgonos em que os lados ou os \u00e2ngulos (ou ambos) n\u00e3o s\u00e3o todos iguais.<\/li>\n\n\n\n<li class=\"has-medium-font-size\"><strong>C\u00f4ncavo<\/strong>: pol\u00edgono com pelo menos um \u00e2ngulo interno maior do que 180\u00b0.<\/li>\n\n\n\n<li class=\"has-medium-font-size\"><strong>Convexo<\/strong>: pol\u00edgono com todos os \u00e2ngulos internos menores do que 180\u00b0.<\/li>\n<\/ul>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter is-resized\"><img decoding=\"async\" src=\"https:\/\/lh7-us.googleusercontent.com\/rswJrlOkIv-hX-GDpUynw-FrwXKz3KteXR6iSfBIfnBEUSyQ4gxjJb1ouziRPjuJQDM4jiyvkLd_c36xRM0z6VPANULBjbI0-DLLFWW0cigVAx-SiOktZuq7GSuh655WME9Ztwkxohvi\" alt=\"\" style=\"width:352px;height:121px\"\/><\/figure><\/div>\n\n\n<p class=\"has-text-align-center has-small-font-size\">Imagem: canva.com\/hex\u00e1gono\/hept\u00e1gono_<a href=\"https:\/\/l1nk.dev\/2ZlbL\">https:\/\/l1nk.dev\/2ZlbL<\/a><\/p>\n\n\n\n<p class=\"has-vivid-red-color has-text-color has-medium-font-size\"><strong>Uma propriedade dos pol\u00edgonos<\/strong><\/p>\n\n\n\n<p class=\"has-medium-font-size\">Uma propriedade bastante utilizada, na resolu\u00e7\u00e3o de problemas sobre pol\u00edgonos, \u00e9 a que se refere \u00e0 <strong>soma dos seus \u00e2ngulos internos<\/strong>:<\/p>\n\n\n\n<p class=\"has-text-align-center has-black-color has-text-color has-medium-font-size\"><strong>A soma dos \u00e2ngulos internos de um pol\u00edgono \u00e9 determinada pela f\u00f3rmula&nbsp;<\/strong><\/p>\n\n\n\n<p class=\"has-text-align-center has-vivid-red-color has-text-color has-medium-font-size\"><strong>S = (n-2).180\u00b0<\/strong>&nbsp;<\/p>\n\n\n\n<p class=\"has-medium-font-size\">Onde <strong><em>n<\/em><\/strong> representa o n\u00famero de lados do pol\u00edgono<\/p>\n\n\n\n<p class=\"has-vivid-red-color has-text-color has-medium-font-size\"><strong>Um problema para finalizar<\/strong><\/p>\n\n\n\n<p class=\"has-medium-font-size\">Desenhe um pol\u00edgono com 5 lados e nomeie seus v\u00e9rtices com as letras E, F, G , B, C, D e E. Em seguida, calcule a soma dos \u00e2ngulos internos do pol\u00edgono.<\/p>\n\n\n\n<p class=\"has-medium-font-size\"><strong>Desenho:<\/strong><\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter is-resized\"><img decoding=\"async\" src=\"https:\/\/lh7-us.googleusercontent.com\/f3GQYxhvZ9-84EYj6QkBnQUCU9D-MFA0XpnVIBqCOWIG2VnkhbAEMAEBhH8FfLjCzFJ4Pxn-wu8D_urh_aHIHieyiA4cARfIuRLrb_LL-0jS7ai184RCaWuXVZYRa2ok7_HNaHu1G6zo\" alt=\"\" style=\"width:183px;height:140px\"\/><\/figure><\/div>\n\n\n<p class=\"has-text-align-center has-small-font-size\">Imagem do autor produzida no Geogebra<\/p>\n\n\n\n<p class=\"has-medium-font-size\"><strong>Soma dos seus \u00e2ngulos internos:<\/strong><\/p>\n\n\n\n<p class=\"has-medium-font-size\">S = ( n &#8211; 2 ).180\u00b0 = ( 5 &#8211; 2 ).180\u00b0 = 3.180\u00b0 = 540\u00b0.<\/p>\n\n\n\n<p class=\"has-medium-font-size\">Ficamos por aqui, at\u00e9 o pr\u00f3ximo.<\/p>\n\n\n\n<p class=\"has-white-color has-vivid-red-background-color has-text-color has-background has-medium-font-size\"><strong>QUEST\u00c3O 01<\/strong><\/p>\n\n\n\n<p class=\"has-medium-font-size\">Responda \u00e0s seguintes quest\u00f5es:<\/p>\n\n\n\n<p class=\"has-medium-font-size\">A) Quantos lados tem um pent\u00e1gono?<\/p>\n\n\n\n<p class=\"has-medium-font-size\">B) Um hex\u00e1gono regular possui quantos v\u00e9rtices?<\/p>\n\n\n\n<p class=\"has-medium-font-size\">C) Qual a diferen\u00e7a entre um pol\u00edgono c\u00f4ncavo e um pol\u00edgono convexo? D\u00ea exemplos.<\/p>\n\n\n\n<p class=\"has-white-color has-vivid-red-background-color has-text-color has-background has-medium-font-size\"><strong>QUEST\u00c3O 02<\/strong><\/p>\n\n\n\n<p class=\"has-medium-font-size\">Complete os espa\u00e7os em branco:<\/p>\n\n\n\n<p class=\"has-medium-font-size\">A) Um pol\u00edgono \u00e9 uma figura geom\u00e9trica plana limitada por ___________ retas.<\/p>\n\n\n\n<p class=\"has-medium-font-size\">B) Um tri\u00e2ngulo possui ___________ v\u00e9rtices e ___________ lados.<\/p>\n\n\n\n<p class=\"has-medium-font-size\">C) Um oct\u00f3gono \u00e9 um pol\u00edgono com ___________ lados.<\/p>\n\n\n\n<p class=\"has-white-color has-vivid-red-background-color has-text-color has-background has-medium-font-size\"><strong>QUEST\u00c3O 03<\/strong><\/p>\n\n\n\n<p class=\"has-medium-font-size\">Um pol\u00edgono com todos os lados e \u00e2ngulos iguais \u00e9 chamado de&nbsp;<\/p>\n\n\n\n<p class=\"has-medium-font-size\">(A) regular.<\/p>\n\n\n\n<p class=\"has-medium-font-size\">(B) irregular.<\/p>\n\n\n\n<p class=\"has-medium-font-size\">(C) c\u00f4ncavo.<\/p>\n\n\n\n<p class=\"has-medium-font-size\">(D) convexo.<\/p>\n\n\n\n<p class=\"has-white-color has-vivid-red-background-color has-text-color has-background has-medium-font-size\"><strong>QUEST\u00c3O 04<\/strong><\/p>\n\n\n\n<p class=\"has-medium-font-size\">A medida de um \u00e2ngulo interno de um tri\u00e2ngulo equil\u00e1tero \u00e9 igual a<\/p>\n\n\n\n<p class=\"has-medium-font-size\">(A) 60 graus.<\/p>\n\n\n\n<p class=\"has-medium-font-size\">(B) 90 graus.<\/p>\n\n\n\n<p class=\"has-medium-font-size\">(C) 120 graus.<\/p>\n\n\n\n<p class=\"has-medium-font-size\">(D) 180 graus.<\/p>\n\n\n\n<p class=\"has-black-color has-text-color has-background has-medium-font-size\" style=\"background-color:#c67573\"><strong>SAIBA MAIS<\/strong><\/p>\n\n\n\n<p class=\"has-medium-font-size\">Assista o v\u00eddeo do canal do Prof. H\u00e9lio para aprender um pouquinho mais sobre pol\u00edgonos.<\/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=\"Pol\u00edgonos\" width=\"1200\" height=\"675\" src=\"https:\/\/www.youtube.com\/embed\/HtGxnhJMjDo?start=173&#038;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\">Pol\u00edgonos: canal do prof. H\u00e9lio &lt;YouTube&gt;<\/figcaption><\/figure>\n\n\n\n<figure class=\"wp-block-table is-style-stripes\"><table><tbody><tr><td>Autoria<\/td><td>Prof. H\u00e9lio Roberto da Rocha, Mestre em Matem\u00e1tica<\/td><\/tr><tr><td>Componente Curricular<\/td><td>Matem\u00e1tica<\/td><\/tr><tr><td>Objetivos de aprendizagem e desenvolvimento<\/td><td>(EJAMA0424) Reconhecer, nomear e comparar pol\u00edgonos, considerando lados, v\u00e9rtices e \u00e2ngulos, e classific\u00e1-los em regulares e n\u00e3o regulares, tanto em suas representa\u00e7\u00f5es no plano como em faces de poliedros.<\/td><\/tr><tr><td>Referencial Te\u00f3rico<\/td><td>SOUZA, Joamir Roberto de: Matem\u00e1tica realidade &amp; tecnologia: 6\u00ba ano: ensino fundamental: anos finais \/Joamir Roberto de Souza. \u2013 1. ed. \u2013 S\u00e3o Paulo: FTD, 2018.GIOVANNI J\u00daNIOR, Jos\u00e9 Ruy &#8211; A conquista da matem\u00e1tica: 6\u00b0 ano: ensino fundamental: anos finais \/ Jos\u00e9 Ruy Giovanni J\u00fanior, Benedicto Castrucci. \u2014 4. ed. \u2014 S\u00e3o Paulo: FTD, 2018.<\/td><\/tr><\/tbody><\/table><\/figure>\n","protected":false},"author":47,"featured_media":172670,"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":[104],"serie":[74],"eaja_componente":[78],"class_list":["post-146555","eaja","type-eaja","status-publish","has-post-thumbnail","hentry","eaja_categoria-2o-segmento-5a-e-6a-serie","serie-5a-serie","eaja_componente-matematica","entry","has-media"],"acf":[],"_links":{"self":[{"href":"https:\/\/sme.goiania.go.gov.br\/conexaoescola\/wp-json\/wp\/v2\/eaja\/146555","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\/47"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/sme.goiania.go.gov.br\/conexaoescola\/wp-json\/wp\/v2\/media\/172670"}],"wp:attachment":[{"href":"https:\/\/sme.goiania.go.gov.br\/conexaoescola\/wp-json\/wp\/v2\/media?parent=146555"}],"wp:term":[{"taxonomy":"eaja_categoria","embeddable":true,"href":"https:\/\/sme.goiania.go.gov.br\/conexaoescola\/wp-json\/wp\/v2\/eaja_categoria?post=146555"},{"taxonomy":"serie","embeddable":true,"href":"https:\/\/sme.goiania.go.gov.br\/conexaoescola\/wp-json\/wp\/v2\/serie?post=146555"},{"taxonomy":"eaja_componente","embeddable":true,"href":"https:\/\/sme.goiania.go.gov.br\/conexaoescola\/wp-json\/wp\/v2\/eaja_componente?post=146555"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}