{"id":112617,"date":"2022-05-12T13:42:38","date_gmt":"2022-05-12T11:42:38","guid":{"rendered":"https:\/\/www.es-karlsruhe.eu\/?p=112617"},"modified":"2022-05-19T10:12:04","modified_gmt":"2022-05-19T08:12:04","slug":"journee-de-leurope-09-05-2022-s1fr-realisation-dun-drapeau-europeen-avec-geogebra","status":"publish","type":"post","link":"https:\/\/www.es-karlsruhe.eu\/fr\/journee-de-leurope-09-05-2022-s1fr-realisation-dun-drapeau-europeen-avec-geogebra\/","title":{"rendered":"Journ\u00e9e de l\u2019Europe 09.05.2022 S1FR \u2013 R\u00e9alisation d\u2019un drapeau europ\u00e9en avec Geogebra"},"content":{"rendered":"<p>En math\u00e9matiques, les \u00e9l\u00e8ves de S1FR qui n\u2019\u00e9taient pas \u00e0 l\u2019ESSS ont r\u00e9alis\u00e9 un drapeau europ\u00e9en avec GeoGebra afin de comprendre sa structure g\u00e9om\u00e9trique et de r\u00e9investir les comp\u00e9tences acquises au cours de cette ann\u00e9e\u00a0sur les chapitres\u00a0:<\/p>\n<ul>\n<li>Orientation et angles\u00a0;<\/li>\n<li>Nombres relatifs\u00a0;<\/li>\n<li>Vocabulaire de la g\u00e9om\u00e9trie\u00a0;<\/li>\n<li>Droites perpendiculaires et droites parall\u00e8les\u00a0;<\/li>\n<li>Figures du plan.<\/li>\n<\/ul>\n<p>Lien vers r\u00e9alisation \u00e9l\u00e8ve manipulable :\u00a0<a href=\"https:\/\/www.geogebra.org\/m\/hezv4j7z\">https:\/\/www.geogebra.org\/m\/hezv4j7z<\/a><\/p>\n\n\t\t<style type=\"text\/css\">\n\t\t\t#gallery-1 {\n\t\t\t\tmargin: auto;\n\t\t\t}\n\t\t\t#gallery-1 .gallery-item {\n\t\t\t\tfloat: left;\n\t\t\t\tmargin-top: 10px;\n\t\t\t\ttext-align: center;\n\t\t\t\twidth: 33%;\n\t\t\t}\n\t\t\t#gallery-1 img {\n\t\t\t\tborder: 2px solid #cfcfcf;\n\t\t\t}\n\t\t\t#gallery-1 .gallery-caption {\n\t\t\t\tmargin-left: 0;\n\t\t\t}\n\t\t\t\/* see gallery_shortcode() in wp-includes\/media.php *\/\n\t\t<\/style>\n\t\t<div id='gallery-1' class='gallery galleryid-112617 gallery-columns-3 gallery-size-medium'><dl class='gallery-item'>\n\t\t\t<dt class='gallery-icon landscape'>\n\t\t\t\t<a href='https:\/\/www.es-karlsruhe.eu\/wp-content\/uploads\/2022\/05\/1m.png'><img loading=\"lazy\" decoding=\"async\" width=\"300\" height=\"178\" src=\"https:\/\/www.es-karlsruhe.eu\/wp-content\/uploads\/2022\/05\/1m-300x178.png\" class=\"attachment-medium size-medium\" alt=\"\" srcset=\"https:\/\/www.es-karlsruhe.eu\/wp-content\/uploads\/2022\/05\/1m-300x178.png 300w, https:\/\/www.es-karlsruhe.eu\/wp-content\/uploads\/2022\/05\/1m-1024x609.png 1024w, https:\/\/www.es-karlsruhe.eu\/wp-content\/uploads\/2022\/05\/1m-768x457.png 768w, https:\/\/www.es-karlsruhe.eu\/wp-content\/uploads\/2022\/05\/1m.png 1431w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a>\n\t\t\t<\/dt><\/dl><dl class='gallery-item'>\n\t\t\t<dt class='gallery-icon landscape'>\n\t\t\t\t<a href='https:\/\/www.es-karlsruhe.eu\/wp-content\/uploads\/2022\/05\/3m.jpg'><img loading=\"lazy\" decoding=\"async\" width=\"300\" height=\"225\" src=\"https:\/\/www.es-karlsruhe.eu\/wp-content\/uploads\/2022\/05\/3m-300x225.jpg\" class=\"attachment-medium size-medium\" alt=\"\" srcset=\"https:\/\/www.es-karlsruhe.eu\/wp-content\/uploads\/2022\/05\/3m-300x225.jpg 300w, https:\/\/www.es-karlsruhe.eu\/wp-content\/uploads\/2022\/05\/3m.jpg 650w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a>\n\t\t\t<\/dt><\/dl><dl class='gallery-item'>\n\t\t\t<dt class='gallery-icon landscape'>\n\t\t\t\t<a href='https:\/\/www.es-karlsruhe.eu\/wp-content\/uploads\/2022\/05\/2m.jpg'><img loading=\"lazy\" decoding=\"async\" width=\"300\" height=\"225\" src=\"https:\/\/www.es-karlsruhe.eu\/wp-content\/uploads\/2022\/05\/2m-300x225.jpg\" class=\"attachment-medium size-medium\" alt=\"\" srcset=\"https:\/\/www.es-karlsruhe.eu\/wp-content\/uploads\/2022\/05\/2m-300x225.jpg 300w, https:\/\/www.es-karlsruhe.eu\/wp-content\/uploads\/2022\/05\/2m.jpg 650w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a>\n\t\t\t<\/dt><\/dl><br style=\"clear: both\" \/>\n\t\t<\/div>\n\n<p><strong>\u00c9tapes de construction<\/strong><\/p>\n<p>1. \u00c0 partir d\u2019un point A du plan, on trace un pentagramme sur la base des sommets d\u2019un pentagone inscrit dans un cercle.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-112614\" src=\"https:\/\/www.es-karlsruhe.eu\/wp-content\/uploads\/2022\/05\/4m.png\" alt=\"\" width=\"260\" height=\"217\" \/><\/p>\n<ol start=\"2\">\n<li>Ce pentagramme sert de structure \u00e0 la cr\u00e9ation d\u2019un d\u00e9cagone r\u00e9gulier \u00e9toil\u00e9. GeoGebra permet alors de cr\u00e9er un outil \u00ab\u00a0\u00e9toile\u00a0\u00bb qui reproduira toutes les \u00e9tapes de la construction de cette \u00e9toile \u00e0 partir de n\u2019importe quel point du plan.<\/li>\n<\/ol>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-medium wp-image-112608\" src=\"https:\/\/www.es-karlsruhe.eu\/wp-content\/uploads\/2022\/05\/5m-300x280.png\" alt=\"\" width=\"300\" height=\"280\" srcset=\"https:\/\/www.es-karlsruhe.eu\/wp-content\/uploads\/2022\/05\/5m-300x280.png 300w, https:\/\/www.es-karlsruhe.eu\/wp-content\/uploads\/2022\/05\/5m.png 316w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>3. On trace un cercle centr\u00e9 sur l\u2019origine du rep\u00e8re et des droites perpendiculaires aux axes passant par le milieu du rayon du cercle dans chaque direction principale. Les points d\u2019intersection entre le cercle et les axes du rep\u00e8re et ces droites d\u00e9finissent les emplacements de chaque \u00e9toile.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-medium wp-image-112611\" src=\"https:\/\/www.es-karlsruhe.eu\/wp-content\/uploads\/2022\/05\/6m-300x285.png\" alt=\"\" width=\"300\" height=\"285\" srcset=\"https:\/\/www.es-karlsruhe.eu\/wp-content\/uploads\/2022\/05\/6m-300x285.png 300w, https:\/\/www.es-karlsruhe.eu\/wp-content\/uploads\/2022\/05\/6m.png 433w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>4. Apr\u00e8s avoir plac\u00e9 les \u00e9toiles, on trace un rectangle bleu pour d\u00e9limiter le drapeau et on affiche le r\u00e9sultat dans le rep\u00e8re en trois dimensions.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-medium wp-image-112596\" src=\"https:\/\/www.es-karlsruhe.eu\/wp-content\/uploads\/2022\/05\/7m-300x273.png\" alt=\"\" width=\"300\" height=\"273\" srcset=\"https:\/\/www.es-karlsruhe.eu\/wp-content\/uploads\/2022\/05\/7m-300x273.png 300w, https:\/\/www.es-karlsruhe.eu\/wp-content\/uploads\/2022\/05\/7m.png 433w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>En math\u00e9matiques, les \u00e9l\u00e8ves de S1FR qui n\u2019\u00e9taient pas \u00e0 l\u2019ESSS ont r\u00e9alis\u00e9 un drapeau europ\u00e9en avec GeoGebra afin de comprendre sa structure g\u00e9om\u00e9trique et de r\u00e9investir les comp\u00e9tences acquises<a class=\"excerpt-read-more\" href=\"https:\/\/www.es-karlsruhe.eu\/fr\/journee-de-leurope-09-05-2022-s1fr-realisation-dun-drapeau-europeen-avec-geogebra\/\" title=\"LireJourn\u00e9e de l\u2019Europe 09.05.2022 S1FR \u2013 R\u00e9alisation d\u2019un drapeau europ\u00e9en avec Geogebra\">&#8230; Read more &raquo;<\/a><\/p>\n","protected":false},"author":4,"featured_media":112600,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[94],"tags":[],"class_list":["post-112617","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-secondary"],"_links":{"self":[{"href":"https:\/\/www.es-karlsruhe.eu\/fr\/wp-json\/wp\/v2\/posts\/112617","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.es-karlsruhe.eu\/fr\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.es-karlsruhe.eu\/fr\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.es-karlsruhe.eu\/fr\/wp-json\/wp\/v2\/users\/4"}],"replies":[{"embeddable":true,"href":"https:\/\/www.es-karlsruhe.eu\/fr\/wp-json\/wp\/v2\/comments?post=112617"}],"version-history":[{"count":1,"href":"https:\/\/www.es-karlsruhe.eu\/fr\/wp-json\/wp\/v2\/posts\/112617\/revisions"}],"predecessor-version":[{"id":112618,"href":"https:\/\/www.es-karlsruhe.eu\/fr\/wp-json\/wp\/v2\/posts\/112617\/revisions\/112618"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.es-karlsruhe.eu\/fr\/wp-json\/wp\/v2\/media\/112600"}],"wp:attachment":[{"href":"https:\/\/www.es-karlsruhe.eu\/fr\/wp-json\/wp\/v2\/media?parent=112617"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.es-karlsruhe.eu\/fr\/wp-json\/wp\/v2\/categories?post=112617"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.es-karlsruhe.eu\/fr\/wp-json\/wp\/v2\/tags?post=112617"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}