{"id":10227,"date":"2021-12-20T11:20:03","date_gmt":"2021-12-20T10:20:03","guid":{"rendered":"https:\/\/agora.xtec.cat\/iesfmompou\/?p=10227"},"modified":"2021-12-20T11:22:34","modified_gmt":"2021-12-20T10:22:34","slug":"taller-de-coniques-a-la-classe-de-matematiques-de-4t-eso","status":"publish","type":"post","link":"https:\/\/agora.xtec.cat\/iesfmompou\/general\/taller-de-coniques-a-la-classe-de-matematiques-de-4t-eso\/","title":{"rendered":"Taller de c\u00f2niques a la classe de matem\u00e0tiques de 4t ESO"},"content":{"rendered":"<p><a href=\"https:\/\/agora.xtec.cat\/iesfmompou\/wp-content\/uploads\/usu653\/2021\/12\/800px-Seccions_coniques.svg_.png\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-10411 alignleft\" src=\"https:\/\/agora.xtec.cat\/iesfmompou\/wp-content\/uploads\/usu653\/2021\/12\/800px-Seccions_coniques.svg_-278x300.png\" alt=\"\" width=\"228\" height=\"246\" srcset=\"https:\/\/agora.xtec.cat\/iesfmompou\/wp-content\/uploads\/usu653\/2021\/12\/800px-Seccions_coniques.svg_-278x300.png 278w, https:\/\/agora.xtec.cat\/iesfmompou\/wp-content\/uploads\/usu653\/2021\/12\/800px-Seccions_coniques.svg_-768x828.png 768w, https:\/\/agora.xtec.cat\/iesfmompou\/wp-content\/uploads\/usu653\/2021\/12\/800px-Seccions_coniques.svg_.png 800w\" sizes=\"auto, (max-width: 228px) 100vw, 228px\" \/><\/a> Fa uns dies, a la classe de matem\u00e0tiques de 4t ESO a l&#8217;institut, vam fer un taller de c\u00f2niques. Les c\u00f2niques s\u00f3n unes corbes que apareixen en moltes situacions de la vida quotidiana, i tamb\u00e9 en molts \u00e0mbits de la ci\u00e8ncia. S\u00f3n aquestes: la circumfer\u00e8ncia, l&#8217;el\u00b7lipse, la par\u00e0bola i la hip\u00e8rbola. Aquestes corbes tenen un origen com\u00fa, i \u00e9s que sorgeixen de diferents talls que fem a un con, i d&#8217;aqu\u00ed en prov\u00e9 el nom.<\/p>\n<p>Durant el taller, primer les vam retallar i identificar, despr\u00e9s vam descobrir com s&#8217;obtenen a partir d&#8217;un con, i finalment vam veure com es podia dibuixar una el\u00b7lipse al pati de l&#8217;institut a partir dels seus focus, ja que la suma de les dist\u00e0ncies de tots els punts de l&#8217;el\u00b7lipse als dos focus \u00e9s la mateixa. Aquest m\u00e8tode \u00e9s el que fan servir els jardiners per dibuixar parterres de flors en un terreny, i introdueix un concepte matem\u00e0tic nou que s&#8217;anomena &#8220;lloc geom\u00e8tric&#8221;.<\/p>\n<div id='gallery-1' class='gallery galleryid-10227 gallery-columns-3 gallery-size-large'><figure class='gallery-item'>\n\t\t\t<div class='gallery-icon landscape'>\n\t\t\t\t<a href='https:\/\/agora.xtec.cat\/iesfmompou\/general\/taller-de-coniques-a-la-classe-de-matematiques-de-4t-eso\/attachment\/img_20211117_100936\/'><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"768\" src=\"https:\/\/agora.xtec.cat\/iesfmompou\/wp-content\/uploads\/usu653\/2021\/12\/IMG_20211117_100936-1024x768.jpg\" class=\"attachment-large size-large\" alt=\"\" srcset=\"https:\/\/agora.xtec.cat\/iesfmompou\/wp-content\/uploads\/usu653\/2021\/12\/IMG_20211117_100936-1024x768.jpg 1024w, https:\/\/agora.xtec.cat\/iesfmompou\/wp-content\/uploads\/usu653\/2021\/12\/IMG_20211117_100936-300x225.jpg 300w, https:\/\/agora.xtec.cat\/iesfmompou\/wp-content\/uploads\/usu653\/2021\/12\/IMG_20211117_100936-768x576.jpg 768w, https:\/\/agora.xtec.cat\/iesfmompou\/wp-content\/uploads\/usu653\/2021\/12\/IMG_20211117_100936-200x150.jpg 200w, https:\/\/agora.xtec.cat\/iesfmompou\/wp-content\/uploads\/usu653\/2021\/12\/IMG_20211117_100936.jpg 1174w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/a>\n\t\t\t<\/div><\/figure><figure class='gallery-item'>\n\t\t\t<div class='gallery-icon landscape'>\n\t\t\t\t<a href='https:\/\/agora.xtec.cat\/iesfmompou\/general\/taller-de-coniques-a-la-classe-de-matematiques-de-4t-eso\/attachment\/20211115_083319\/'><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"768\" src=\"https:\/\/agora.xtec.cat\/iesfmompou\/wp-content\/uploads\/usu653\/2021\/12\/20211115_083319-1024x768.jpg\" class=\"attachment-large size-large\" alt=\"\" srcset=\"https:\/\/agora.xtec.cat\/iesfmompou\/wp-content\/uploads\/usu653\/2021\/12\/20211115_083319-1024x768.jpg 1024w, https:\/\/agora.xtec.cat\/iesfmompou\/wp-content\/uploads\/usu653\/2021\/12\/20211115_083319-300x225.jpg 300w, https:\/\/agora.xtec.cat\/iesfmompou\/wp-content\/uploads\/usu653\/2021\/12\/20211115_083319-768x576.jpg 768w, https:\/\/agora.xtec.cat\/iesfmompou\/wp-content\/uploads\/usu653\/2021\/12\/20211115_083319-200x150.jpg 200w, https:\/\/agora.xtec.cat\/iesfmompou\/wp-content\/uploads\/usu653\/2021\/12\/20211115_083319.jpg 1174w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/a>\n\t\t\t<\/div><\/figure><figure class='gallery-item'>\n\t\t\t<div class='gallery-icon landscape'>\n\t\t\t\t<a href='https:\/\/agora.xtec.cat\/iesfmompou\/general\/taller-de-coniques-a-la-classe-de-matematiques-de-4t-eso\/attachment\/20211115_083619\/'><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"768\" src=\"https:\/\/agora.xtec.cat\/iesfmompou\/wp-content\/uploads\/usu653\/2021\/12\/20211115_083619-1024x768.jpg\" class=\"attachment-large size-large\" alt=\"\" srcset=\"https:\/\/agora.xtec.cat\/iesfmompou\/wp-content\/uploads\/usu653\/2021\/12\/20211115_083619-1024x768.jpg 1024w, https:\/\/agora.xtec.cat\/iesfmompou\/wp-content\/uploads\/usu653\/2021\/12\/20211115_083619-300x225.jpg 300w, https:\/\/agora.xtec.cat\/iesfmompou\/wp-content\/uploads\/usu653\/2021\/12\/20211115_083619-768x576.jpg 768w, https:\/\/agora.xtec.cat\/iesfmompou\/wp-content\/uploads\/usu653\/2021\/12\/20211115_083619-200x150.jpg 200w, https:\/\/agora.xtec.cat\/iesfmompou\/wp-content\/uploads\/usu653\/2021\/12\/20211115_083619.jpg 1174w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/a>\n\t\t\t<\/div><\/figure><figure class='gallery-item'>\n\t\t\t<div class='gallery-icon landscape'>\n\t\t\t\t<a href='https:\/\/agora.xtec.cat\/iesfmompou\/general\/taller-de-coniques-a-la-classe-de-matematiques-de-4t-eso\/attachment\/20211115_083953\/'><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"768\" src=\"https:\/\/agora.xtec.cat\/iesfmompou\/wp-content\/uploads\/usu653\/2021\/12\/20211115_083953-1024x768.jpg\" class=\"attachment-large size-large\" alt=\"\" srcset=\"https:\/\/agora.xtec.cat\/iesfmompou\/wp-content\/uploads\/usu653\/2021\/12\/20211115_083953-1024x768.jpg 1024w, https:\/\/agora.xtec.cat\/iesfmompou\/wp-content\/uploads\/usu653\/2021\/12\/20211115_083953-300x225.jpg 300w, https:\/\/agora.xtec.cat\/iesfmompou\/wp-content\/uploads\/usu653\/2021\/12\/20211115_083953-768x576.jpg 768w, https:\/\/agora.xtec.cat\/iesfmompou\/wp-content\/uploads\/usu653\/2021\/12\/20211115_083953-200x150.jpg 200w, https:\/\/agora.xtec.cat\/iesfmompou\/wp-content\/uploads\/usu653\/2021\/12\/20211115_083953.jpg 1174w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/a>\n\t\t\t<\/div><\/figure><figure class='gallery-item'>\n\t\t\t<div class='gallery-icon landscape'>\n\t\t\t\t<a href='https:\/\/agora.xtec.cat\/iesfmompou\/general\/taller-de-coniques-a-la-classe-de-matematiques-de-4t-eso\/attachment\/20211115_085203\/'><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"768\" src=\"https:\/\/agora.xtec.cat\/iesfmompou\/wp-content\/uploads\/usu653\/2021\/12\/20211115_085203-1024x768.jpg\" class=\"attachment-large size-large\" alt=\"\" srcset=\"https:\/\/agora.xtec.cat\/iesfmompou\/wp-content\/uploads\/usu653\/2021\/12\/20211115_085203-1024x768.jpg 1024w, https:\/\/agora.xtec.cat\/iesfmompou\/wp-content\/uploads\/usu653\/2021\/12\/20211115_085203-300x225.jpg 300w, https:\/\/agora.xtec.cat\/iesfmompou\/wp-content\/uploads\/usu653\/2021\/12\/20211115_085203-768x576.jpg 768w, https:\/\/agora.xtec.cat\/iesfmompou\/wp-content\/uploads\/usu653\/2021\/12\/20211115_085203-200x150.jpg 200w, https:\/\/agora.xtec.cat\/iesfmompou\/wp-content\/uploads\/usu653\/2021\/12\/20211115_085203.jpg 1174w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/a>\n\t\t\t<\/div><\/figure><figure class='gallery-item'>\n\t\t\t<div class='gallery-icon landscape'>\n\t\t\t\t<a href='https:\/\/agora.xtec.cat\/iesfmompou\/general\/taller-de-coniques-a-la-classe-de-matematiques-de-4t-eso\/attachment\/20211115_085514\/'><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"768\" src=\"https:\/\/agora.xtec.cat\/iesfmompou\/wp-content\/uploads\/usu653\/2021\/12\/20211115_085514-1024x768.jpg\" class=\"attachment-large size-large\" alt=\"\" srcset=\"https:\/\/agora.xtec.cat\/iesfmompou\/wp-content\/uploads\/usu653\/2021\/12\/20211115_085514-1024x768.jpg 1024w, https:\/\/agora.xtec.cat\/iesfmompou\/wp-content\/uploads\/usu653\/2021\/12\/20211115_085514-300x225.jpg 300w, https:\/\/agora.xtec.cat\/iesfmompou\/wp-content\/uploads\/usu653\/2021\/12\/20211115_085514-768x576.jpg 768w, https:\/\/agora.xtec.cat\/iesfmompou\/wp-content\/uploads\/usu653\/2021\/12\/20211115_085514-200x150.jpg 200w, https:\/\/agora.xtec.cat\/iesfmompou\/wp-content\/uploads\/usu653\/2021\/12\/20211115_085514.jpg 1174w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/a>\n\t\t\t<\/div><\/figure>\n\t\t<\/div>\n\n<p>Durant la mateixa setmana que vam fer el taller de c\u00f2niques, tamb\u00e9 hi havia programats altres tallers de matem\u00e0tiques: un sobre cintes de M\u00f6bius en qu\u00e8 retallant tires de paper obten\u00edem resultats sorprenents i inesperats, un altre sobre la demostraci\u00f3 del teorema de Pit\u00e0goras, i encara un m\u00e9s sobre mesura de volums en cilindres que tamb\u00e9 ens va sorprendre molt.<\/p>\n<p>Tots aquests tallers van ser preparats i implementats pel professorat del departament de Matem\u00e0tiques durant la setmana de la ci\u00e8ncia a l&#8217;institut. En podeu veure fotos i algun v\u00eddeo clicant <a href=\"https:\/\/photos.app.goo.gl\/HkUjTuf1mJN3to2p8\" target=\"_blank\" rel=\"noopener\"><strong>AQU\u00cd<\/strong><\/a>.<\/p>\n<div id='gallery-2' class='gallery galleryid-10227 gallery-columns-4 gallery-size-full'><figure class='gallery-item'>\n\t\t\t<div class='gallery-icon portrait'>\n\t\t\t\t<a href='https:\/\/agora.xtec.cat\/iesfmompou\/general\/taller-de-coniques-a-la-classe-de-matematiques-de-4t-eso\/attachment\/img_0198\/'><img loading=\"lazy\" decoding=\"async\" width=\"660\" height=\"880\" src=\"https:\/\/agora.xtec.cat\/iesfmompou\/wp-content\/uploads\/usu653\/2021\/12\/IMG_0198.jpg\" class=\"attachment-full size-full\" alt=\"\" srcset=\"https:\/\/agora.xtec.cat\/iesfmompou\/wp-content\/uploads\/usu653\/2021\/12\/IMG_0198.jpg 660w, https:\/\/agora.xtec.cat\/iesfmompou\/wp-content\/uploads\/usu653\/2021\/12\/IMG_0198-225x300.jpg 225w\" sizes=\"auto, (max-width: 660px) 100vw, 660px\" \/><\/a>\n\t\t\t<\/div><\/figure><figure class='gallery-item'>\n\t\t\t<div class='gallery-icon portrait'>\n\t\t\t\t<a href='https:\/\/agora.xtec.cat\/iesfmompou\/general\/taller-de-coniques-a-la-classe-de-matematiques-de-4t-eso\/attachment\/img_0184\/'><img loading=\"lazy\" decoding=\"async\" width=\"660\" height=\"880\" src=\"https:\/\/agora.xtec.cat\/iesfmompou\/wp-content\/uploads\/usu653\/2021\/12\/IMG_0184.jpg\" class=\"attachment-full size-full\" alt=\"\" srcset=\"https:\/\/agora.xtec.cat\/iesfmompou\/wp-content\/uploads\/usu653\/2021\/12\/IMG_0184.jpg 660w, https:\/\/agora.xtec.cat\/iesfmompou\/wp-content\/uploads\/usu653\/2021\/12\/IMG_0184-225x300.jpg 225w\" sizes=\"auto, (max-width: 660px) 100vw, 660px\" \/><\/a>\n\t\t\t<\/div><\/figure><figure class='gallery-item'>\n\t\t\t<div class='gallery-icon portrait'>\n\t\t\t\t<a href='https:\/\/agora.xtec.cat\/iesfmompou\/general\/taller-de-coniques-a-la-classe-de-matematiques-de-4t-eso\/attachment\/img_0196\/'><img loading=\"lazy\" decoding=\"async\" width=\"660\" height=\"880\" src=\"https:\/\/agora.xtec.cat\/iesfmompou\/wp-content\/uploads\/usu653\/2021\/12\/IMG_0196.jpg\" class=\"attachment-full size-full\" alt=\"\" srcset=\"https:\/\/agora.xtec.cat\/iesfmompou\/wp-content\/uploads\/usu653\/2021\/12\/IMG_0196.jpg 660w, https:\/\/agora.xtec.cat\/iesfmompou\/wp-content\/uploads\/usu653\/2021\/12\/IMG_0196-225x300.jpg 225w\" sizes=\"auto, (max-width: 660px) 100vw, 660px\" \/><\/a>\n\t\t\t<\/div><\/figure><figure class='gallery-item'>\n\t\t\t<div class='gallery-icon portrait'>\n\t\t\t\t<a href='https:\/\/agora.xtec.cat\/iesfmompou\/general\/taller-de-coniques-a-la-classe-de-matematiques-de-4t-eso\/attachment\/img_0180\/'><img loading=\"lazy\" decoding=\"async\" width=\"660\" height=\"880\" src=\"https:\/\/agora.xtec.cat\/iesfmompou\/wp-content\/uploads\/usu653\/2021\/12\/IMG_0180.jpg\" class=\"attachment-full size-full\" alt=\"\" srcset=\"https:\/\/agora.xtec.cat\/iesfmompou\/wp-content\/uploads\/usu653\/2021\/12\/IMG_0180.jpg 660w, https:\/\/agora.xtec.cat\/iesfmompou\/wp-content\/uploads\/usu653\/2021\/12\/IMG_0180-225x300.jpg 225w\" sizes=\"auto, (max-width: 660px) 100vw, 660px\" \/><\/a>\n\t\t\t<\/div><\/figure>\n\t\t<\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Fa uns dies, a la classe de matem\u00e0tiques de 4t ESO a l&#8217;institut, vam fer un taller de c\u00f2niques. Les c\u00f2niques s\u00f3n unes corbes que apareixen en moltes situacions de la vida quotidiana, i tamb\u00e9 en molts \u00e0mbits de la ci\u00e8ncia. S\u00f3n aquestes: la circumfer\u00e8ncia, l&#8217;el\u00b7lipse, la par\u00e0bola i la hip\u00e8rbola. Aquestes corbes tenen un [&hellip;]<\/p>\n","protected":false},"author":3,"featured_media":10416,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_bbp_topic_count":0,"_bbp_reply_count":0,"_bbp_total_topic_count":0,"_bbp_total_reply_count":0,"_bbp_voice_count":0,"_bbp_anonymous_reply_count":0,"_bbp_topic_count_hidden":0,"_bbp_reply_count_hidden":0,"_bbp_forum_subforum_count":0,"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[7,197,1,29,332,296,294],"tags":[360],"class_list":["post-10227","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-4t-deso","category-departament-de-matematiques-i-economia","category-general","category-portada","category-steam","category-tallers-activitats-xerrades","category-treball-cooperatiu-i-per-projectes","tag-curs-21-22"],"post_mailing_queue_ids":[],"_links":{"self":[{"href":"https:\/\/agora.xtec.cat\/iesfmompou\/wp-json\/wp\/v2\/posts\/10227","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/agora.xtec.cat\/iesfmompou\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/agora.xtec.cat\/iesfmompou\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/agora.xtec.cat\/iesfmompou\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/agora.xtec.cat\/iesfmompou\/wp-json\/wp\/v2\/comments?post=10227"}],"version-history":[{"count":3,"href":"https:\/\/agora.xtec.cat\/iesfmompou\/wp-json\/wp\/v2\/posts\/10227\/revisions"}],"predecessor-version":[{"id":10431,"href":"https:\/\/agora.xtec.cat\/iesfmompou\/wp-json\/wp\/v2\/posts\/10227\/revisions\/10431"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/agora.xtec.cat\/iesfmompou\/wp-json\/wp\/v2\/media\/10416"}],"wp:attachment":[{"href":"https:\/\/agora.xtec.cat\/iesfmompou\/wp-json\/wp\/v2\/media?parent=10227"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/agora.xtec.cat\/iesfmompou\/wp-json\/wp\/v2\/categories?post=10227"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/agora.xtec.cat\/iesfmompou\/wp-json\/wp\/v2\/tags?post=10227"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}