{"id":3718,"date":"2017-04-15T16:26:57","date_gmt":"2017-04-15T20:26:57","guid":{"rendered":"\/pole-maths\/?p=3718"},"modified":"2017-04-18T09:38:00","modified_gmt":"2017-04-18T13:38:00","slug":"cycle-3-reproduire-une-figure-par-introduction-dune-sur-figure-le-carre","status":"publish","type":"post","link":"https:\/\/site.ac-martinique.fr\/pole-maths\/?p=3718","title":{"rendered":"Cycle 3 &#8211; Reproduire une figure par introduction d\u2019une \u00ab sur-figure \u00bb le carr\u00e9"},"content":{"rendered":"<p><strong><img loading=\"lazy\" decoding=\"async\" class=\"alignleft wp-image-3723 size-thumbnail\" src=\"\/pole-maths\/wp-content\/uploads\/sites\/26\/2017\/04\/figure_blanche_orient\u00e9e-150x131.jpg\" alt=\"\" width=\"150\" height=\"131\" srcset=\"https:\/\/site.ac-martinique.fr\/pole-maths\/wp-content\/uploads\/sites\/26\/2017\/04\/figure_blanche_orient\u00e9e-150x131.jpg 150w, https:\/\/site.ac-martinique.fr\/pole-maths\/wp-content\/uploads\/sites\/26\/2017\/04\/figure_blanche_orient\u00e9e-300x263.jpg 300w, https:\/\/site.ac-martinique.fr\/pole-maths\/wp-content\/uploads\/sites\/26\/2017\/04\/figure_blanche_orient\u00e9e-768x672.jpg 768w, https:\/\/site.ac-martinique.fr\/pole-maths\/wp-content\/uploads\/sites\/26\/2017\/04\/figure_blanche_orient\u00e9e-1024x896.jpg 1024w, https:\/\/site.ac-martinique.fr\/pole-maths\/wp-content\/uploads\/sites\/26\/2017\/04\/figure_blanche_orient\u00e9e.jpg 1891w\" sizes=\"auto, (max-width: 150px) 100vw, 150px\" \/><img loading=\"lazy\" decoding=\"async\" class=\"alignleft wp-image-3726 \" src=\"\/pole-maths\/wp-content\/uploads\/sites\/26\/2017\/04\/surfigure-150x150.jpg\" alt=\"\" width=\"123\" height=\"123\" srcset=\"https:\/\/site.ac-martinique.fr\/pole-maths\/wp-content\/uploads\/sites\/26\/2017\/04\/surfigure-150x150.jpg 150w, https:\/\/site.ac-martinique.fr\/pole-maths\/wp-content\/uploads\/sites\/26\/2017\/04\/surfigure-300x300.jpg 300w, https:\/\/site.ac-martinique.fr\/pole-maths\/wp-content\/uploads\/sites\/26\/2017\/04\/surfigure-768x768.jpg 768w, https:\/\/site.ac-martinique.fr\/pole-maths\/wp-content\/uploads\/sites\/26\/2017\/04\/surfigure-1024x1024.jpg 1024w, https:\/\/site.ac-martinique.fr\/pole-maths\/wp-content\/uploads\/sites\/26\/2017\/04\/surfigure.jpg 1420w\" sizes=\"auto, (max-width: 123px) 100vw, 123px\" \/>\u00a0<\/strong><strong>C<\/strong><strong>ycle 3 \u00a0&#8211;\u00a0<\/strong><strong>Reproduire une figure par introduction d\u2019une \u00ab\u00a0sur-<br \/>\nfigure\u00a0\u00bb\u00a0: le carr\u00e9<\/strong><\/p>\n<p>Activit\u00e9 d\u00e9clin\u00e9e en 4 niveaux de difficult\u00e9.<br \/>\n<!--more--><\/p>\n<h3>\u00a0<strong>Description<\/strong> <strong>de<\/strong><strong> la figure<\/strong><\/h3>\n<h4>La figure \u00e0 reproduire est complexe. L\u2019\u00e9l\u00e8ve ne peut la recopier \u00e9l\u00e9ment apr\u00e8s \u00e9l\u00e9ment, de proche en proche. Elle n\u00e9cessite d\u2019introduire comme \u00ab\u00a0sur-figure\u00a0\u00bb un carr\u00e9\u00a0\u00bb, de tracer des lignes suppl\u00e9mentaires, de mettre en \u0153uvre des connaissances li\u00e9es aux \u00a0propri\u00e9t\u00e9s g\u00e9om\u00e9triques de construction li\u00e9es au cercle et au carr\u00e9 et de mobiliser des gestes de trac\u00e9s pour pouvoir la reproduire.<\/h4>\n<h3><strong>Exemples de variables didactiques possibles\u00a0<\/strong><\/h3>\n<ul>\n<li>\u00a0<strong>la figure<\/strong> \u00e0 reproduire de couleur blanche est pr\u00e9sent\u00e9e sur un fond quadrill\u00e9 ou \u00a0elle est pr\u00e9sent\u00e9e sur un fond vierge<\/li>\n<li>\u00a0<strong>l\u2019orientation\u00a0de la figure<\/strong>\u00a0: le carr\u00e9 constituant la\u00a0 \u00ab\u00a0sur-figure\u00a0\u00bb a ses c\u00f4t\u00e9s parall\u00e8les aux bords de la feuille ou\u00a0 il est d\u00e9sorient\u00e9 par rapport aux bords de la feuille<\/li>\n<li><strong>\u00a0le support pour reproduir<\/strong>e\u00a0: un r\u00e9seau quadrill\u00e9 dont les mailles sont parall\u00e8les aux bords de la feuille ou d\u00e9sorient\u00e9 par rapport aux bords de la feuille<\/li>\n<li><strong>\u00a0le format<\/strong>\u00a0: reproduction au m\u00eame format ou dans un format diff\u00e9rent (r\u00e9seau quadrill\u00e9 plus petit ou plus grand<\/li>\n<li>\u00a0<strong>Les instruments\u00a0<\/strong>: possibilit\u00e9 de mesurer (r\u00e8gle gradu\u00e9e) ou de reporter des longueurs (compas)<\/li>\n<\/ul>\n<h3><strong>Pr\u00e9sentation \u00a0des 4 niveaux de difficult\u00e9 pour une reproduction au m\u00eame format<\/strong><\/h3>\n<p><strong>Niveau a (CM1)<\/strong>\u00a0: figure blanche pr\u00e9sent\u00e9e sur un fond quadrill\u00e9 \u2013 compas, r\u00e8gle gradu\u00e9e<\/p>\n<p><a href=\"\/pole-maths\/wp-content\/uploads\/sites\/26\/2017\/04\/figure_quadri_orientee.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"alignleft wp-image-3725 size-thumbnail\" src=\"\/pole-maths\/wp-content\/uploads\/sites\/26\/2017\/04\/figure_quadri_orientee-129x150.jpg\" alt=\"\" width=\"129\" height=\"150\" srcset=\"https:\/\/site.ac-martinique.fr\/pole-maths\/wp-content\/uploads\/sites\/26\/2017\/04\/figure_quadri_orientee-129x150.jpg 129w, https:\/\/site.ac-martinique.fr\/pole-maths\/wp-content\/uploads\/sites\/26\/2017\/04\/figure_quadri_orientee-257x300.jpg 257w, https:\/\/site.ac-martinique.fr\/pole-maths\/wp-content\/uploads\/sites\/26\/2017\/04\/figure_quadri_orientee-768x896.jpg 768w, https:\/\/site.ac-martinique.fr\/pole-maths\/wp-content\/uploads\/sites\/26\/2017\/04\/figure_quadri_orientee-878x1024.jpg 878w\" sizes=\"auto, (max-width: 129px) 100vw, 129px\" \/><\/a><\/p>\n<p>&nbsp;<\/p>\n<p>Le carr\u00e9 de la \u00ab\u00a0sur-figure\u00a0\u00bb a ses c\u00f4t\u00e9s parall\u00e8les aux bords de la feuille. Elle est \u00e0 reproduire au m\u00eame format sur une feuille blanche<\/p>\n<p>&nbsp;<\/p>\n<p><strong>Niveau b (CM1\/CM2)<\/strong>: figure blanche sur feuille blanche \u2013 compas, r\u00e8gle gradu\u00e9e<\/p>\n<p><a href=\"\/pole-maths\/wp-content\/uploads\/sites\/26\/2017\/04\/figure_blanche_orient\u00e9e.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"alignleft wp-image-3723 size-thumbnail\" src=\"\/pole-maths\/wp-content\/uploads\/sites\/26\/2017\/04\/figure_blanche_orient\u00e9e-150x131.jpg\" alt=\"\" width=\"150\" height=\"131\" srcset=\"https:\/\/site.ac-martinique.fr\/pole-maths\/wp-content\/uploads\/sites\/26\/2017\/04\/figure_blanche_orient\u00e9e-150x131.jpg 150w, https:\/\/site.ac-martinique.fr\/pole-maths\/wp-content\/uploads\/sites\/26\/2017\/04\/figure_blanche_orient\u00e9e-300x263.jpg 300w, https:\/\/site.ac-martinique.fr\/pole-maths\/wp-content\/uploads\/sites\/26\/2017\/04\/figure_blanche_orient\u00e9e-768x672.jpg 768w, https:\/\/site.ac-martinique.fr\/pole-maths\/wp-content\/uploads\/sites\/26\/2017\/04\/figure_blanche_orient\u00e9e-1024x896.jpg 1024w, https:\/\/site.ac-martinique.fr\/pole-maths\/wp-content\/uploads\/sites\/26\/2017\/04\/figure_blanche_orient\u00e9e.jpg 1891w\" sizes=\"auto, (max-width: 150px) 100vw, 150px\" \/><\/a><a href=\"\/pole-maths\/wp-content\/uploads\/sites\/26\/2017\/04\/r\u00e9seau_d\u00e9dorient\u00e9_1cm_a.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"alignleft wp-image-3729\" src=\"\/pole-maths\/wp-content\/uploads\/sites\/26\/2017\/04\/r\u00e9seau_d\u00e9dorient\u00e9_1cm_a-200x300.jpg\" alt=\"\" width=\"131\" height=\"197\" srcset=\"https:\/\/site.ac-martinique.fr\/pole-maths\/wp-content\/uploads\/sites\/26\/2017\/04\/r\u00e9seau_d\u00e9dorient\u00e9_1cm_a-200x300.jpg 200w, https:\/\/site.ac-martinique.fr\/pole-maths\/wp-content\/uploads\/sites\/26\/2017\/04\/r\u00e9seau_d\u00e9dorient\u00e9_1cm_a-100x150.jpg 100w, https:\/\/site.ac-martinique.fr\/pole-maths\/wp-content\/uploads\/sites\/26\/2017\/04\/r\u00e9seau_d\u00e9dorient\u00e9_1cm_a-768x1152.jpg 768w, https:\/\/site.ac-martinique.fr\/pole-maths\/wp-content\/uploads\/sites\/26\/2017\/04\/r\u00e9seau_d\u00e9dorient\u00e9_1cm_a-682x1024.jpg 682w\" sizes=\"auto, (max-width: 131px) 100vw, 131px\" \/><\/a><\/p>\n<p>&nbsp;<\/p>\n<p>Le carr\u00e9 de la \u00ab\u00a0sur-figure\u00a0\u00bb a ses c\u00f4t\u00e9s parall\u00e8les aux bords de la feuille. Elle est \u00e0 reproduire au m\u00eame format sur un r\u00e9seau quadrill\u00e9 dont les mailles ne sont\u00a0 parall\u00e8les au bord de la feuille<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p><strong>Niveau c (CM2)<\/strong>\u00a0: figure blanche pr\u00e9sent\u00e9e sur un fond quadrill\u00e9 \u2013 compas, r\u00e8gle gradu\u00e9e.<\/p>\n<p><a href=\"\/pole-maths\/wp-content\/uploads\/sites\/26\/2017\/04\/figure_quadri_d\u00e9soriente.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"alignleft wp-image-3730 size-thumbnail\" src=\"\/pole-maths\/wp-content\/uploads\/sites\/26\/2017\/04\/figure_quadri_d\u00e9soriente-150x132.jpg\" alt=\"\" width=\"150\" height=\"132\" srcset=\"https:\/\/site.ac-martinique.fr\/pole-maths\/wp-content\/uploads\/sites\/26\/2017\/04\/figure_quadri_d\u00e9soriente-150x132.jpg 150w, https:\/\/site.ac-martinique.fr\/pole-maths\/wp-content\/uploads\/sites\/26\/2017\/04\/figure_quadri_d\u00e9soriente-300x265.jpg 300w, https:\/\/site.ac-martinique.fr\/pole-maths\/wp-content\/uploads\/sites\/26\/2017\/04\/figure_quadri_d\u00e9soriente-768x678.jpg 768w, https:\/\/site.ac-martinique.fr\/pole-maths\/wp-content\/uploads\/sites\/26\/2017\/04\/figure_quadri_d\u00e9soriente-1024x904.jpg 1024w\" sizes=\"auto, (max-width: 150px) 100vw, 150px\" \/><\/a>Le carr\u00e9 de la \u00ab\u00a0sur-figure\u00a0\u00bb n\u2019a pas\u00a0 ses c\u00f4t\u00e9s parall\u00e8les aux bords de la feuille. Elle est \u00e0 reproduire au m\u00eame format sur une feuille blanche<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p><strong>Niveau d (fin CM2\/6<sup>\u00e8me<\/sup>)<\/strong>\u00a0: figure blanche sur feuille blanche \u2013 compas, r\u00e8gle gradu\u00e9e<\/p>\n<p><a href=\"\/pole-maths\/wp-content\/uploads\/sites\/26\/2017\/04\/figure_blanche_d\u00e9sorient\u00e9e.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"alignleft wp-image-3722 size-thumbnail\" src=\"\/pole-maths\/wp-content\/uploads\/sites\/26\/2017\/04\/figure_blanche_d\u00e9sorient\u00e9e-150x119.jpg\" alt=\"\" width=\"150\" height=\"119\" srcset=\"https:\/\/site.ac-martinique.fr\/pole-maths\/wp-content\/uploads\/sites\/26\/2017\/04\/figure_blanche_d\u00e9sorient\u00e9e-150x119.jpg 150w, https:\/\/site.ac-martinique.fr\/pole-maths\/wp-content\/uploads\/sites\/26\/2017\/04\/figure_blanche_d\u00e9sorient\u00e9e-300x238.jpg 300w, https:\/\/site.ac-martinique.fr\/pole-maths\/wp-content\/uploads\/sites\/26\/2017\/04\/figure_blanche_d\u00e9sorient\u00e9e-768x610.jpg 768w, https:\/\/site.ac-martinique.fr\/pole-maths\/wp-content\/uploads\/sites\/26\/2017\/04\/figure_blanche_d\u00e9sorient\u00e9e-1024x814.jpg 1024w\" sizes=\"auto, (max-width: 150px) 100vw, 150px\" \/><\/a>Le carr\u00e9 de la \u00ab\u00a0sur-figure\u00a0\u00bb n\u2019a pas ses c\u00f4t\u00e9s parall\u00e8les aux bords de la feuille. Elle est \u00e0 reproduire au m\u00eame format sur une feuille blanche.<\/p>\n<p>&nbsp;<\/p>\n<p><strong>T\u00e9l\u00e9charger les documents \u00e9l\u00e8ves par niveau de difficult\u00e9 ou tous les niveaux<\/strong><\/p>\n<ul>\n<li><a href=\"\/pole-maths\/wp-content\/uploads\/sites\/26\/2017\/04\/niveau-a.pdf\" target=\"_blank\">niveau a<\/a><\/li>\n<li><a href=\"\/pole-maths\/wp-content\/uploads\/sites\/26\/2017\/04\/niveau-b.pdf\" target=\"_blank\">niveau b<\/a><\/li>\n<li><a href=\"\/pole-maths\/wp-content\/uploads\/sites\/26\/2017\/04\/niveau-c.pdf\" target=\"_blank\">niveau c<\/a><\/li>\n<li><a href=\"\/pole-maths\/wp-content\/uploads\/sites\/26\/2017\/04\/niveau-d.pdf\" target=\"_blank\">niveau d<\/a><\/li>\n<li><a href=\"\/pole-maths\/wp-content\/uploads\/sites\/26\/2017\/04\/tous_niveaux.pdf\" target=\"_blank\">Tous les niveaux<\/a><\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>\u00a0Cycle 3 \u00a0&#8211;\u00a0Reproduire une figure par introduction d\u2019une \u00ab\u00a0sur- figure\u00a0\u00bb\u00a0: le carr\u00e9 Activit\u00e9 d\u00e9clin\u00e9e en 4 niveaux de difficult\u00e9.<\/p>\n","protected":false},"author":83,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[48,44,111],"tags":[],"class_list":["post-3718","post","type-post","status-publish","format-standard","hentry","category-cycle3","category-geometrie-domaines-mathematiques","category-resolution-de-problemes-2"],"_links":{"self":[{"href":"https:\/\/site.ac-martinique.fr\/pole-maths\/index.php?rest_route=\/wp\/v2\/posts\/3718","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/site.ac-martinique.fr\/pole-maths\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/site.ac-martinique.fr\/pole-maths\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/site.ac-martinique.fr\/pole-maths\/index.php?rest_route=\/wp\/v2\/users\/83"}],"replies":[{"embeddable":true,"href":"https:\/\/site.ac-martinique.fr\/pole-maths\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=3718"}],"version-history":[{"count":15,"href":"https:\/\/site.ac-martinique.fr\/pole-maths\/index.php?rest_route=\/wp\/v2\/posts\/3718\/revisions"}],"predecessor-version":[{"id":3764,"href":"https:\/\/site.ac-martinique.fr\/pole-maths\/index.php?rest_route=\/wp\/v2\/posts\/3718\/revisions\/3764"}],"wp:attachment":[{"href":"https:\/\/site.ac-martinique.fr\/pole-maths\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=3718"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/site.ac-martinique.fr\/pole-maths\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=3718"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/site.ac-martinique.fr\/pole-maths\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=3718"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}