{"id":132057,"date":"2021-09-22T10:22:04","date_gmt":"2021-09-22T13:22:04","guid":{"rendered":"https:\/\/sme.goiania.go.gov.br\/conexaoescola\/?post_type=eaja&#038;p=132057"},"modified":"2021-12-22T10:51:10","modified_gmt":"2021-12-22T12:51:10","slug":"matematica-equacoes-do-2o-grau","status":"publish","type":"eaja","link":"https:\/\/sme.goiania.go.gov.br\/conexaoescola\/eaja\/matematica-equacoes-do-2o-grau\/","title":{"rendered":"Matem\u00e1tica &#8211; Equa\u00e7\u00f5es do 2\u00ba grau"},"content":{"rendered":"\n<p class=\"has-black-color has-pale-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;8\u00aa S\u00e9rie<\/strong>&nbsp;da Eaja.<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img fetchpriority=\"high\" decoding=\"async\" width=\"990\" height=\"660\" src=\"https:\/\/sme.goiania.go.gov.br\/conexaoescola\/wp-content\/uploads\/2021\/09\/mathematics-1509559_1280-e1632312816797.jpg\" alt=\"Matem\u00e1tica F\u00f3rmula F\u00edsica - imagem gr\u00e1tis no Pixabay\" class=\"wp-image-132058\" srcset=\"https:\/\/sme.goiania.go.gov.br\/conexaoescola\/wp-content\/uploads\/2021\/09\/mathematics-1509559_1280-e1632312816797.jpg 990w, https:\/\/sme.goiania.go.gov.br\/conexaoescola\/wp-content\/uploads\/2021\/09\/mathematics-1509559_1280-e1632312816797-300x200.jpg 300w, https:\/\/sme.goiania.go.gov.br\/conexaoescola\/wp-content\/uploads\/2021\/09\/mathematics-1509559_1280-e1632312816797-768x512.jpg 768w\" sizes=\"(max-width: 990px) 100vw, 990px\" \/><figcaption>https:\/\/pixabay.com\/pt\/illustrations\/matem%c3%a1tica-f%c3%b3rmula-f%c3%adsica-escola-1509559\/<\/figcaption><\/figure>\n\n\n\n<p class=\"has-black-color has-pale-cyan-blue-background-color has-text-color has-background\" style=\"font-size:25px\">A seguir, assista a videoaula do professor H\u00e9lio com a tem\u00e1tica <strong>resolu\u00e7\u00e3o de equa\u00e7\u00f5es de 2\u00ba grau<\/strong>.<\/p>\n\n\n\n<hr class=\"wp-block-separator\"\/>\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=\"Equa\u00e7\u00f5es do 2\u00ba Grau | Aula 7 | 8\u00aa s\u00e9rie EAJA | Matem\u00e1tica\" width=\"1200\" height=\"675\" src=\"https:\/\/www.youtube.com\/embed\/UV-aD_X8QWA?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen><\/iframe><\/p>\n<\/div><figcaption>Equa\u00e7\u00f5es do 2\u00ba Grau | Aula 7 | 8\u00aa s\u00e9rie EAJA | Matem\u00e1tica<\/figcaption><\/figure>\n\n\n\n<hr class=\"wp-block-separator\"\/>\n\n\n\n<p class=\"has-text-align-center has-black-color has-pale-pink-background-color has-text-color has-background\" style=\"font-size:25px\"><strong>Equa\u00e7\u00e3o do 2\u00ba grau <\/strong><\/p>\n\n\n\n<p class=\"has-black-color has-text-color\" style=\"font-size:25px\">Denomina-se equa\u00e7\u00e3o do 2\u00ba grau na inc\u00f3gnita x toda equa\u00e7\u00e3o escrita na forma abaixo, em que a, b e c s\u00e3o n\u00fameros reais com a diferente de zero e que s\u00e3o denominados de coeficientes da inc\u00f3gnita x. O coeficiente <strong>a<\/strong> ser\u00e1 sempre do termo em x<sup>2<\/sup>, o coeficiente <strong>b<\/strong> do termo em x e o <strong>c<\/strong> do termo independente de x.<\/p>\n\n\n\n<p class=\"has-text-align-center\"><img decoding=\"async\" src=\"https:\/\/lh4.googleusercontent.com\/Y2EslOBoDDPM3rgR3wZ94PAj_IasNUuWoLyHlbVF9DmtnjtEbIOVrdfa6a8WNsE5Gt7aLAqdeQMbY8XT3wp-9KXx0rCD6vFgw2JL_aw54DH3y1LwV0HgbhW7c2zWYM9WiXe3g4tQ=s0\" style=\"width: 700px;\"><\/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-text-align-center\"><img decoding=\"async\" src=\"https:\/\/lh4.googleusercontent.com\/lYzBDiFRj26KOM8llypp6AGYF_N2PutYGqwF-Z2uwfN5uTI3oEHCa5smfW8D7ynaZ_F4RrrSJjyUDhyZ3wdJ5GloLwboe5djVP9MYACQyA6Co0UNm8YK08HyCGkTHvy7eatv-lzz=s0\" style=\"width: 700px;\"><\/p>\n\n\n\n<p class=\"has-black-color has-text-color\" style=\"font-size:25px\">Nos exemplos (a) e (b) as equa\u00e7\u00f5es s\u00e3o completas, todos os coeficientes s\u00e3o diferentes de zero e nos exemplos (c), (d) e (e) as equa\u00e7\u00f5es s\u00e3o incompletas, um dos, ou os dois, coeficientes b ou c s\u00e3o diferentes de zero.<\/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\"><strong>Atividade<\/strong><\/p>\n\n\n\n<p class=\"has-black-color has-text-color\" style=\"font-size:25px\">Determine os coeficientes a, b e c nas seguintes equa\u00e7\u00f5es do 2\u00ba grau e, em seguida, identifique-as como completa ou incompleta.<\/p>\n\n\n\n<p><img decoding=\"async\" src=\"https:\/\/lh3.googleusercontent.com\/1cg6Y2OYHaKh_ZkrSjiF_ELg2bt5gh5kP63AoEAckcrtAOdVOUmHoml6M0yT0eYVYwMLikHy_C7pP5A-4VHIyyBvutEVTK_xsyFyUUnKt6VkVFWLE6zMNwFmPkNm8gxVNWNec5xU=s0\" style=\"width: 300px;\"><\/p>\n\n\n\n<hr class=\"wp-block-separator\"\/>\n\n\n\n<p class=\"has-text-align-center has-black-color has-pale-pink-background-color has-text-color has-background\" style=\"font-size:25px\"><strong>Resolu\u00e7\u00e3o de equa\u00e7\u00f5es do 2\u00ba grau completas<\/strong><\/p>\n\n\n\n<p class=\"has-black-color has-text-color\" style=\"font-size:25px\">Resolver uma equa\u00e7\u00e3o \u00e9 determinar o poss\u00edvel ou os poss\u00edveis valores que satisfazem a equa\u00e7\u00e3o. Esses valores s\u00e3o denominados de raiz ou ra\u00edzes da equa\u00e7\u00e3o.<\/p>\n\n\n\n<p class=\"has-black-color has-text-color\" style=\"font-size:25px\">Para resolver uma equa\u00e7\u00e3o, devemos sempre escrev\u00ea-la na forma reduzida.<\/p>\n\n\n\n<p class=\"has-text-align-center\"><img decoding=\"async\" src=\"https:\/\/lh5.googleusercontent.com\/8Kx4aq_hovlDLj8GaIKD7eFs1LcMm6Zy7Dq3BMt8wH8xRYJ-G0udfSOqdwp6_bCLC9wN3PesbT_FgG1BeT9Fb1kstIdchJR9PlFjo-wTMAMbh0CQZsI6gamv77Pf9WUzEbwUjkPZ=s0\" style=\"width: 700px;\"><\/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><img decoding=\"async\" src=\"https:\/\/lh5.googleusercontent.com\/2lz77Xc_AwPSxOca2FmEcWOXtXd9371UgWM1vwp8FdnCB558OH2OkYRfUMU4KwWMhJDt_TXP25p139IWsZGHfJm5WlMZAUye2MH_jCVxhgv4Bi9nn3CQP7l7Oqhz4CWbFgXOKvPb=s0\" style=\"width: 1000px;\"><\/p>\n\n\n\n<p class=\"has-black-color has-text-color\" style=\"font-size:25px\">Nesta atividade iremos trabalhar a resolu\u00e7\u00e3o das equa\u00e7\u00f5es utilizando a F\u00f3rmula Resolutiva, mais conhecida como F\u00f3rmula de Bhaskara. Nas equa\u00e7\u00f5es do 2\u00ba grau incompletas, utiliza-se outros m\u00e9todos.<\/p>\n\n\n\n<p class=\"has-text-align-center\"><img decoding=\"async\" src=\"https:\/\/lh6.googleusercontent.com\/xA4DyeMqnhTkuGT2UP-q7bh9Xqv_8qwrJykjRsxP87hcU6jxHqWSORSIK78ThtU-8FYBKPvIz-0JK1gLuEGZS4fJAb7u7ugijMlm_x44SmP1ojNx0PDV4WMEhj-YXW1eTWG3YGM6=s0\" style=\"width: 800px;\"><\/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\">Resolva as equa\u00e7\u00f5es de 2\u00ba grau:<\/p>\n\n\n\n<p><img decoding=\"async\" src=\"https:\/\/lh6.googleusercontent.com\/hCcYFI2k7mVXpDtIj5ZW3-FfTzwXjcwK26UNqJ2Vy5Ckrvcz76cK_u5ZTthPOpBmjFOKBJrl6ISdb2o6lNUf780MeHBuN9rngjL2qjLL5XFPeo99-Hw1avjmdQjYiysMdcXi_LqN=s0\" style=\"width: 1200px;\"><\/p>\n\n\n\n<p class=\"has-text-align-center has-black-color has-light-green-cyan-background-color has-text-color has-background\" style=\"font-size:25px\"><strong>Situa\u00e7\u00e3o-problema<\/strong><\/p>\n\n\n\n<p class=\"has-black-color has-text-color\" style=\"font-size:25px\">Uma bola \u00e9 jogada no ar do alto de um pr\u00e9dio 50 metros acima do solo. Sua velocidade inicial \u00e9 de 20m\/s. A equa\u00e7\u00e3o abaixo \u00e9 utilizada para determinar a altura (h), dada em metros, da bola em determinado instante (t) dado em segundos. Quanto tempo a bola leva para tocar no solo?<\/p>\n\n\n\n<p class=\"has-text-align-center\"><img decoding=\"async\" src=\"https:\/\/lh3.googleusercontent.com\/rYzeQ4Ws8feK_P3F5I-eEKqLPjxTR7SRQ9h0vz85jqWFnfGgUTSCL00D92I2UssP0DZN_93ARbYUXL4jD7RP9Nt946K10xiOwzUCyTtc6xM39j6BceN1JvK1PhMDYLbgiQVscgUH=s0\" style=\"width: 1200px;\"><\/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\"><strong>Atividades<\/strong><\/p>\n\n\n\n<ol class=\"has-black-color has-text-color wp-block-list\" style=\"font-size:25px\"><li>Carlos quer construir um aqu\u00e1rio com formato de um bloco retangular com 320 litros de capacidade, a medida da altura \u00e9 de 4 dm e do comprimento 2 dm a mais do que a medida da largura. Determine as medidas das dimens\u00f5es deste aqu\u00e1rio. Utilize x para representar a medida da altura.<\/li><li>O piso de um galp\u00e3o retangular tem 140 metros quadrados. As medidas dos lados desse piso, em metros, \u00e9 indicada por x+2 e x+6. Determine essas medidas.<\/li><\/ol>\n\n\n\n<p class=\"has-black-color has-cyan-bluish-gray-background-color has-text-color has-background\" style=\"font-size:25px\">Ficamos por aqui.&nbsp;Abra\u00e7os e at\u00e9 a pr\u00f3xima.<\/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>(EAJAMA0810) Reconhecer uma equa\u00e7\u00e3o do 2\u00b0grau, identificando seus coeficientes na forma completa (ax2 + bx + c = 0, a \u2260 0) e nas formas incompletas (ax2 + bx = 0, ax2 + c = 0, ax2 = 0 com a \u2260 0) quando apresentada em situa\u00e7\u00f5es-problema, bem como determinar as suas ra\u00edzes por meio da f\u00f3rmula Resolutiva.&nbsp;<\/td><\/tr><tr><td><strong>Refer\u00eancias<\/strong><\/td><td>Giovanni J\u00fanior, Jos\u00e9 Ruy &#8211; A conquista da matem\u00e1tica: 9o 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: 9\u00ba ano: ensino fundamental: anos finais \/ Joamir Roberto de Souza. \u2013 1. ed. \u2013 S\u00e3o Paulo: FTD, 2018.<br><\/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":132058,"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":[100],"eaja_componente":[78],"class_list":["post-132057","eaja","type-eaja","status-publish","has-post-thumbnail","hentry","eaja_categoria-2o-segmento-7a-e-8a-serie","serie-8a-serie","eaja_componente-matematica","entry","has-media"],"acf":[],"_links":{"self":[{"href":"https:\/\/sme.goiania.go.gov.br\/conexaoescola\/wp-json\/wp\/v2\/eaja\/132057","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\/132058"}],"wp:attachment":[{"href":"https:\/\/sme.goiania.go.gov.br\/conexaoescola\/wp-json\/wp\/v2\/media?parent=132057"}],"wp:term":[{"taxonomy":"eaja_categoria","embeddable":true,"href":"https:\/\/sme.goiania.go.gov.br\/conexaoescola\/wp-json\/wp\/v2\/eaja_categoria?post=132057"},{"taxonomy":"serie","embeddable":true,"href":"https:\/\/sme.goiania.go.gov.br\/conexaoescola\/wp-json\/wp\/v2\/serie?post=132057"},{"taxonomy":"eaja_componente","embeddable":true,"href":"https:\/\/sme.goiania.go.gov.br\/conexaoescola\/wp-json\/wp\/v2\/eaja_componente?post=132057"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}