{"id":180456,"date":"2024-04-04T16:39:21","date_gmt":"2024-04-04T19:39:21","guid":{"rendered":"https:\/\/sme.goiania.go.gov.br\/conexaoescola\/?post_type=eaja&#038;p=180456"},"modified":"2024-05-22T13:33:49","modified_gmt":"2024-05-22T16:33:49","slug":"matematica-explorando-a-introducao-da-potenciacao","status":"publish","type":"eaja","link":"https:\/\/sme.goiania.go.gov.br\/conexaoescola\/eaja\/matematica-explorando-a-introducao-da-potenciacao\/","title":{"rendered":"Matem\u00e1tica &#8211; Explorando a Potencia\u00e7\u00e3o"},"content":{"rendered":"\n<p class=\"has-text-align-center has-medium-font-size\"><strong>Esta proposta de atividade de&nbsp;MATEM\u00c1TICA&nbsp;\u00e9 destinada aos estudante do 5\u00ba Per\u00edodo (6\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 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\"><a class=\"wp-block-button__link wp-element-button\" href=\"https:\/\/drive.google.com\/uc?export=douwnload&amp;id=1Ly-h7F0bktXPuAQ--eDEPxHspA4LZZsL\" target=\"_blank\" rel=\"noreferrer noopener\">BAIXE A ATIVIDADE<\/a><\/div>\n\n\n\n<div class=\"wp-block-button\"><a class=\"wp-block-button__link wp-element-button\" href=\"https:\/\/drive.google.com\/uc?export=douwnload&amp;id=1l4zF_cacfWLk69lyUtMTRu37TTrV1_Sq\" target=\"_blank\" rel=\"noreferrer noopener\">BAIXE OS SLIDES<\/a><\/div>\n\n\n\n<div class=\"wp-block-button\"><a class=\"wp-block-button__link wp-element-button\" href=\"https:\/\/drive.google.com\/uc?export=douwnload&amp;id=15PrJR-rBW8IV3vI3ZUXZHCY7ipr4aUkW\" target=\"_blank\" rel=\"noreferrer noopener\">BAIXE O TEXTO<\/a><\/div>\n<\/div>\n\n\n\n<p><\/p>\n\n\n\n<div class=\"wp-block-media-text is-stacked-on-mobile\" style=\"grid-template-columns:24% auto\"><figure class=\"wp-block-media-text__media\"><img decoding=\"async\" width=\"140\" height=\"139\" src=\"https:\/\/sme.goiania.go.gov.br\/conexaoescola\/wp-content\/uploads\/2024\/04\/potenciacao.png\" alt=\"\" class=\"wp-image-180458 size-full\"\/><\/figure><div class=\"wp-block-media-text__content\">\n<p class=\"has-vivid-red-color has-text-color has-link-color has-medium-font-size wp-elements-630cb68bc390c8be6b24e98ae3ca9a43\"><strong>Introdu\u00e7\u00e3o<\/strong><\/p>\n\n\n\n<p class=\"has-medium-font-size\">No texto a seguir, exploraremos a <strong>potencia\u00e7\u00e3<\/strong>o, uma opera\u00e7\u00e3o matem\u00e1tica fundamental. Abordaremos o conceito de potencia\u00e7\u00e3o, como calcular pot\u00eancias, seus valores not\u00e1veis e um problema de aplica\u00e7\u00e3o.<\/p>\n\n\n\n<p class=\"has-small-font-size\">Imagem: canva.com\/n\u00fameros_<a href=\"https:\/\/l1nk.dev\/aGu1r\">https:\/\/l1nk.dev\/aGu1r<\/a><\/p>\n<\/div><\/div>\n\n\n\n<p class=\"has-vivid-red-color has-text-color has-link-color has-medium-font-size wp-elements-acdb570585592339ff57518c765487e2\"><strong>Conceito de Potencia\u00e7\u00e3o<\/strong><\/p>\n\n\n\n<p class=\"has-medium-font-size\">A potencia\u00e7\u00e3o \u00e9 uma opera\u00e7\u00e3o matem\u00e1tica que consiste em <strong>multiplicar<\/strong> um n\u00famero pela mesma quantidade v\u00e1rias vezes.<\/p>\n\n\n\n<p class=\"has-vivid-red-color has-text-color has-link-color has-medium-font-size wp-elements-fc5a970ffbba5c4e8a8abae54d828afe\"><strong>Como identificar quando uma express\u00e3o corresponde a uma potencia\u00e7\u00e3o?<\/strong><\/p>\n\n\n\n<p class=\"has-medium-font-size\">Uma express\u00e3o corresponde a uma potencia\u00e7\u00e3o quando possui uma base elevada a um expoente.&nbsp;<\/p>\n\n\n\n<p class=\"has-medium-font-size\"><strong>Por exemplo:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li class=\"has-medium-font-size\">&nbsp;Na express\u00e3o 4<sup>3<\/sup>, o n\u00famero 4 \u00e9 a base e o n\u00famero 3 \u00e9 o expoente, indicando uma potencia\u00e7\u00e3o.&nbsp;<\/li>\n\n\n\n<li class=\"has-medium-font-size\">Outro exemplo seria 10<sup>2<\/sup>,&nbsp; onde o n\u00famero 10 \u00e9 a base e o n\u00famero&nbsp; 2 \u00e9 o expoente, indicando uma potencia\u00e7\u00e3o.<\/li>\n<\/ul>\n\n\n\n<p class=\"has-vivid-red-color has-text-color has-link-color has-medium-font-size wp-elements-780c3d0665de5c3c595fdc6822eeb29a\"><strong>Como realizar a leitura de uma potencia\u00e7\u00e3o?<\/strong><\/p>\n\n\n\n<p class=\"has-medium-font-size\">A leitura de uma potencia\u00e7\u00e3o segue um padr\u00e3o espec\u00edfico.&nbsp;<\/p>\n\n\n\n<p class=\"has-medium-font-size\"><strong>Por exemplo:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li class=\"has-medium-font-size\">3<sup>2<\/sup> \u00e9 lido como \u201ctr\u00eas elevado \u00e0 segunda pot\u00eancia\u201d, ou \u201ctr\u00eas elevado ao quadrado\u201d.<\/li>\n\n\n\n<li class=\"has-medium-font-size\">5<sup>3<\/sup> \u00e9 lido como &#8220;cinco elevado \u00e0 terceira pot\u00eancia&#8221; ou &#8220;cinco elevado ao cubo&#8221;.<\/li>\n\n\n\n<li class=\"has-medium-font-size\">4<sup>5<\/sup> \u00e9 lido como &#8220;quatro elevado \u00e0 quinta pot\u00eancia&#8221; ou &#8220;dez elevado a 5&#8221;.<\/li>\n<\/ul>\n\n\n\n<p class=\"has-vivid-red-color has-text-color has-link-color has-medium-font-size wp-elements-f3ab6f271448e506a0cd1e42fe3c0fa4\"><strong>Como calcular a potencia\u00e7\u00e3o?<\/strong><\/p>\n\n\n\n<p class=\"has-medium-font-size\">Para calcular uma potencia\u00e7\u00e3o, devemos multiplicar a base pelo n\u00famero de vezes indicado pelo expoente.&nbsp;<\/p>\n\n\n\n<p class=\"has-medium-font-size\"><strong>Por exemplo:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li class=\"has-medium-font-size\">Para calcular 2<sup>3<\/sup>, temos que multiplicar o 2 por si mesmo 3 vezes, ou seja, 2x2x2, resultando em 8.<\/li>\n<\/ul>\n\n\n\n<p class=\"has-vivid-red-color has-text-color has-link-color has-medium-font-size wp-elements-faa0f410d9e405dea5e0c331765868c6\"><strong>Resultados Not\u00e1veis de uma Potencia\u00e7\u00e3o<\/strong><\/p>\n\n\n\n<p class=\"has-medium-font-size\">Os resultados not\u00e1veis da potencia\u00e7\u00e3o s\u00e3o resultados que facilitam os c\u00e1lculos e aparecem com frequ\u00eancia em problemas matem\u00e1ticos.&nbsp;<\/p>\n\n\n\n<p class=\"has-medium-font-size\"><strong>Alguns exemplos:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li class=\"has-medium-font-size\">Qualquer n\u00famero elevado a zero \u00e9 igual a 1.\n<ul class=\"wp-block-list\">\n<li class=\"has-medium-font-size\">3<sup>0<\/sup> = 1<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li class=\"has-medium-font-size\">Qualquer n\u00famero elevado a 1 \u00e9 igual a ele mesmo.\n<ul class=\"wp-block-list\">\n<li class=\"has-medium-font-size\">2000<sup>1<\/sup> = 2000.<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li class=\"has-medium-font-size\">O produto de duas pot\u00eancias de mesma base \u00e9 igual \u00e0 base elevada \u00e0 soma dos expoentes.\n<ul class=\"wp-block-list\">\n<li class=\"has-medium-font-size\">2<sup>2<\/sup> x 2<sup>3<\/sup> = 2<sup>5<\/sup> = 2x2x2x2x2 = 32.<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n<p class=\"has-vivid-red-color has-text-color has-link-color has-medium-font-size wp-elements-b51c8ae5c476d22929d075373efa87ff\"><strong>Um problema de Aplica\u00e7\u00e3o<\/strong><\/p>\n\n\n\n<p class=\"has-medium-font-size\">Determinar a \u00e1rea de um terreno quadrado com 15 metros de largura.<\/p>\n\n\n\n<p class=\"has-medium-font-size\"><strong>Solu\u00e7\u00e3o:<\/strong>&nbsp;<\/p>\n\n\n\n<p class=\"has-medium-font-size\">A \u00e1rea de um quadrado \u00e9 calculada elevando a medida do lado ao quadrado, ou seja, 15<sup>2<\/sup>=15 x 15 = 225.<\/p>\n\n\n\n<p class=\"has-medium-font-size\">Portanto, a \u00e1rea do terreno \u00e9 225 metros quadrados.<\/p>\n\n\n\n<p class=\"has-medium-font-size\">Para finalizar, \u00e9 importante deixar registrado que a potencia\u00e7\u00e3o \u00e9 uma ferramenta matem\u00e1tica fundamental na simplifica\u00e7\u00e3o de c\u00e1lculos e na resolu\u00e7\u00e3o de problemas matem\u00e1ticos.<\/p>\n\n\n\n<p class=\"has-medium-font-size\">At\u00e9 o pr\u00f3ximo.<\/p>\n\n\n\n<p class=\"has-pale-pink-background-color has-background has-medium-font-size\"><strong>QUEST\u00c3O 01<\/strong><\/p>\n\n\n\n<p class=\"has-medium-font-size\">Na express\u00e3o 2<sup>3 <\/sup>= 8 o n\u00famero 2 \u00e9 chamado de base e o n\u00famero 3 \u00e9 chamado de<\/p>\n\n\n\n<p class=\"has-medium-font-size\">(A) expoente.<br>(B) resultado.<br>(C) soma.<br>(D) produto.<\/p>\n\n\n\n<p class=\"has-pale-pink-background-color has-background has-medium-font-size\"><strong>QUEST\u00c3O 02<\/strong><\/p>\n\n\n\n<p class=\"has-medium-font-size\">Numa competi\u00e7\u00e3o de matem\u00e1tica, os estudantes enfrentaram desafios envolvendo potencia\u00e7\u00e3o. A equipe de Jo\u00e3o resolveu a opera\u00e7\u00e3o 2<sup>5<\/sup> e obteve como resultado o<\/p>\n\n\n\n<p class=\"has-medium-font-size\">(A) 10.<br>(B) 20.<br>(C) 25.<br>(D) 32.<\/p>\n\n\n\n<p class=\"has-pale-pink-background-color has-background has-medium-font-size\"><strong>QUEST\u00c3O 03<\/strong><\/p>\n\n\n\n<p class=\"has-medium-font-size\">Se a = 2<sup>3<\/sup>, b = 3<sup>2<\/sup> e c = 4<sup>2<\/sup> ent\u00e3o, qual \u00e9 o valor de a \u00d7 b \u00f7 c ?<\/p>\n\n\n\n<p class=\"has-pale-pink-background-color has-background has-medium-font-size\"><strong>QUEST\u00c3O 04<\/strong><\/p>\n\n\n\n<p class=\"has-medium-font-size\">Calcule o valor da seguinte express\u00e3o num\u00e9rica (2<sup>2<\/sup> x 3<sup>2<\/sup> )+(4<sup>2<\/sup> : 2<sup>2<\/sup>).<\/p>\n\n\n\n<p class=\"has-white-color has-vivid-red-background-color has-text-color has-background has-link-color has-medium-font-size wp-elements-421387240547d96ac167f179420b4bd9\"><strong>SAIBA MAIS<\/strong><\/p>\n\n\n\n<p>Aprenda um pouco mais assistindo o v\u00eddeo do canal do Prof. H\u00e9lio<\/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=\"Potencia\u00e7\u00e3o\" width=\"1200\" height=\"675\" src=\"https:\/\/www.youtube.com\/embed\/Ql1MTrdbooc?start=3&#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\">Canal do Prof. H\u00e9lio do Prof. H\u00e9lio &lt;YpuTube&gt;<\/figcaption><\/figure>\n\n\n\n<figure class=\"wp-block-table is-style-stripes\"><table><tbody><tr><td>Autoria<\/td><td>Professor 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>(EJAMA0405) Conhecer e compreender a opera\u00e7\u00e3o de potencia\u00e7\u00e3o com seus elementos constitutivos.<\/td><\/tr><tr><td>Refer\u00eancias<\/td><td>SOUZA, Joamir Roberto de: Matem\u00e1tica realidade &amp; tecnologia: 7\u00ba ano: ensino fundamental: anos finais \/Joamir Roberto de Souza. \u2013 1. ed. \u2013 S\u00e3o Paulo: FTD, 2018.<br>GIOVANNI J\u00daNIOR, Jos\u00e9 Ruy &#8211; A conquista da matem\u00e1tica: 7\u00b0 ano: ensino fundamental: anos finais \/ Jos\u00e9 Ruy Giovanni J\u00fanior, Benedicto Castrucci. \u2014 4. ed. \u2014 S\u00e3o Paulo: FTD, 2018.<br>GOI\u00c2NIA. Secretaria Municipal de Educa\u00e7\u00e3o. Aprender Sempre. 6\u00ba ao 9\u00b0 ano &#8211; Ensino Fundamental; Matem\u00e1tica; Goi\u00e2nia,2024.<\/td><\/tr><\/tbody><\/table><\/figure>\n","protected":false},"author":47,"featured_media":180458,"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":[75],"eaja_componente":[78],"class_list":["post-180456","eaja","type-eaja","status-publish","has-post-thumbnail","hentry","eaja_categoria-2o-segmento-5a-e-6a-serie","serie-6a-serie","eaja_componente-matematica","entry","has-media"],"acf":[],"_links":{"self":[{"href":"https:\/\/sme.goiania.go.gov.br\/conexaoescola\/wp-json\/wp\/v2\/eaja\/180456","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\/180458"}],"wp:attachment":[{"href":"https:\/\/sme.goiania.go.gov.br\/conexaoescola\/wp-json\/wp\/v2\/media?parent=180456"}],"wp:term":[{"taxonomy":"eaja_categoria","embeddable":true,"href":"https:\/\/sme.goiania.go.gov.br\/conexaoescola\/wp-json\/wp\/v2\/eaja_categoria?post=180456"},{"taxonomy":"serie","embeddable":true,"href":"https:\/\/sme.goiania.go.gov.br\/conexaoescola\/wp-json\/wp\/v2\/serie?post=180456"},{"taxonomy":"eaja_componente","embeddable":true,"href":"https:\/\/sme.goiania.go.gov.br\/conexaoescola\/wp-json\/wp\/v2\/eaja_componente?post=180456"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}