{"id":327,"date":"2019-02-14T15:31:29","date_gmt":"2019-02-14T15:31:29","guid":{"rendered":"http:\/\/matematyka.sp3pabianice.pl\/?p=327"},"modified":"2019-02-14T15:36:29","modified_gmt":"2019-02-14T15:36:29","slug":"drzewo-pitagorejskie","status":"publish","type":"post","link":"https:\/\/matematyka.sp3pabianice.pl\/?p=327","title":{"rendered":"Drzewo Pitagorejskie"},"content":{"rendered":"\n<p>Uczniowie z klasy VIb, na zako\u0144czenie realizacji dzia\u0142u o wielok\u0105tach, dowiedzieli si\u0119 na czym polega Twierdzenie Pitagorasa.  Szukaj\u0105c zwi\u0105zk\u00f3w matematyki ze sztuk\u0105 \/i odwrotnie\/ zmierzyli si\u0119 z zagadnieniem drzewa pitagorejskiego, czyli sprawdzili jak powstaje fraktal. <\/p>\n\n\n\n<p>Rysowano drzewa na kartonie, na monitorze interaktywnym, wykorzystuj\u0105c narz\u0119dzia aplikacji Mozabook, by na koniec przej\u015b\u0107 do aplikacji komputerowej GeoGebra. Zainteresowani uczniowie utworzyli galeri\u0119 pi\u0119knych prac.<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" decoding=\"async\" width=\"600\" height=\"339\" src=\"https:\/\/matematyka.sp3pabianice.pl\/wp-content\/uploads\/2019\/02\/marcel.jpg\" alt=\"\" class=\"wp-image-328\" srcset=\"https:\/\/matematyka.sp3pabianice.pl\/wp-content\/uploads\/2019\/02\/marcel.jpg 600w, https:\/\/matematyka.sp3pabianice.pl\/wp-content\/uploads\/2019\/02\/marcel-300x170.jpg 300w, https:\/\/matematyka.sp3pabianice.pl\/wp-content\/uploads\/2019\/02\/marcel-388x220.jpg 388w\" sizes=\"auto, (max-width: 600px) 100vw, 600px\" \/><figcaption>rys. wykonany przez Marcela<\/figcaption><\/figure>\n\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"497\" src=\"https:\/\/matematyka.sp3pabianice.pl\/wp-content\/uploads\/2019\/02\/monitor_kuba-1024x497.jpg\" alt=\"\" class=\"wp-image-329\" srcset=\"https:\/\/matematyka.sp3pabianice.pl\/wp-content\/uploads\/2019\/02\/monitor_kuba-1024x497.jpg 1024w, https:\/\/matematyka.sp3pabianice.pl\/wp-content\/uploads\/2019\/02\/monitor_kuba-300x146.jpg 300w, https:\/\/matematyka.sp3pabianice.pl\/wp-content\/uploads\/2019\/02\/monitor_kuba-768x373.jpg 768w, https:\/\/matematyka.sp3pabianice.pl\/wp-content\/uploads\/2019\/02\/monitor_kuba.jpg 1200w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><figcaption>Kuba pracuje przy monitorze interaktywnym za pomoc\u0105 narz\u0119dzi aplikacji Mozabook <\/figcaption><\/figure>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter\"><img loading=\"lazy\" decoding=\"async\" width=\"600\" height=\"427\" src=\"https:\/\/matematyka.sp3pabianice.pl\/wp-content\/uploads\/2019\/02\/dominik1.jpg\" alt=\"\" class=\"wp-image-330\" srcset=\"https:\/\/matematyka.sp3pabianice.pl\/wp-content\/uploads\/2019\/02\/dominik1.jpg 600w, https:\/\/matematyka.sp3pabianice.pl\/wp-content\/uploads\/2019\/02\/dominik1-300x214.jpg 300w, https:\/\/matematyka.sp3pabianice.pl\/wp-content\/uploads\/2019\/02\/dominik1-120x85.jpg 120w\" sizes=\"auto, (max-width: 600px) 100vw, 600px\" \/><figcaption>Praca wykonana na kartonie przez Dominika <\/figcaption><\/figure><\/div>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter\"><img loading=\"lazy\" decoding=\"async\" width=\"600\" height=\"418\" src=\"https:\/\/matematyka.sp3pabianice.pl\/wp-content\/uploads\/2019\/02\/dominik2.jpg\" alt=\"\" class=\"wp-image-331\" srcset=\"https:\/\/matematyka.sp3pabianice.pl\/wp-content\/uploads\/2019\/02\/dominik2.jpg 600w, https:\/\/matematyka.sp3pabianice.pl\/wp-content\/uploads\/2019\/02\/dominik2-300x209.jpg 300w, https:\/\/matematyka.sp3pabianice.pl\/wp-content\/uploads\/2019\/02\/dominik2-120x85.jpg 120w\" sizes=\"auto, (max-width: 600px) 100vw, 600px\" \/><figcaption>Inne spojrzenie na Drzewo Pitagorasa &#8211; tr\u00f3jk\u0105ty nie s\u0105 r\u00f3wnoramienne. Prac\u0119 wykona\u0142 Dominik<\/figcaption><\/figure><\/div>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter\"><img loading=\"lazy\" decoding=\"async\" width=\"600\" height=\"702\" src=\"https:\/\/matematyka.sp3pabianice.pl\/wp-content\/uploads\/2019\/02\/jakub.jpg\" alt=\"\" class=\"wp-image-332\" srcset=\"https:\/\/matematyka.sp3pabianice.pl\/wp-content\/uploads\/2019\/02\/jakub.jpg 600w, https:\/\/matematyka.sp3pabianice.pl\/wp-content\/uploads\/2019\/02\/jakub-256x300.jpg 256w\" sizes=\"auto, (max-width: 600px) 100vw, 600px\" \/><figcaption>Jakub tworzy\u0142 Drzewo Pitagorasa za pomoc\u0105 programu komputerowego.<\/figcaption><\/figure><\/div>\n\n\n\n<ul class=\"wp-block-gallery columns-3 is-cropped wp-block-gallery-1 is-layout-flex wp-block-gallery-is-layout-flex\"><li class=\"blocks-gallery-item\"><figure><img loading=\"lazy\" decoding=\"async\" width=\"600\" height=\"369\" src=\"https:\/\/matematyka.sp3pabianice.pl\/wp-content\/uploads\/2019\/02\/marcel2.jpg\" alt=\"\" data-id=\"333\" data-link=\"https:\/\/matematyka.sp3pabianice.pl\/?attachment_id=333\" class=\"wp-image-333\" srcset=\"https:\/\/matematyka.sp3pabianice.pl\/wp-content\/uploads\/2019\/02\/marcel2.jpg 600w, https:\/\/matematyka.sp3pabianice.pl\/wp-content\/uploads\/2019\/02\/marcel2-300x185.jpg 300w\" sizes=\"auto, (max-width: 600px) 100vw, 600px\" \/><\/figure><\/li><li class=\"blocks-gallery-item\"><figure><img loading=\"lazy\" decoding=\"async\" width=\"650\" height=\"374\" src=\"https:\/\/matematyka.sp3pabianice.pl\/wp-content\/uploads\/2019\/02\/monitor.jpg\" alt=\"\" data-id=\"334\" data-link=\"https:\/\/matematyka.sp3pabianice.pl\/?attachment_id=334\" class=\"wp-image-334\" srcset=\"https:\/\/matematyka.sp3pabianice.pl\/wp-content\/uploads\/2019\/02\/monitor.jpg 650w, https:\/\/matematyka.sp3pabianice.pl\/wp-content\/uploads\/2019\/02\/monitor-300x173.jpg 300w\" sizes=\"auto, (max-width: 650px) 100vw, 650px\" \/><\/figure><\/li><li class=\"blocks-gallery-item\"><figure><img loading=\"lazy\" decoding=\"async\" width=\"600\" height=\"379\" src=\"https:\/\/matematyka.sp3pabianice.pl\/wp-content\/uploads\/2019\/02\/weronika.jpg\" alt=\"\" data-id=\"335\" data-link=\"https:\/\/matematyka.sp3pabianice.pl\/?attachment_id=335\" class=\"wp-image-335\" srcset=\"https:\/\/matematyka.sp3pabianice.pl\/wp-content\/uploads\/2019\/02\/weronika.jpg 600w, https:\/\/matematyka.sp3pabianice.pl\/wp-content\/uploads\/2019\/02\/weronika-300x190.jpg 300w\" sizes=\"auto, (max-width: 600px) 100vw, 600px\" \/><\/figure><\/li><\/ul>\n","protected":false},"excerpt":{"rendered":"Uczniowie z klasy VIb, na zako\u0144czenie realizacji dzia\u0142u o wielok\u0105tach, dowiedzieli si\u0119 na czym polega Twierdzenie Pitagorasa. Szukaj\u0105c zwi\u0105zk\u00f3w matematyki ze sztuk\u0105 \/i \n<a class=\"moretag\" href=\"https:\/\/matematyka.sp3pabianice.pl\/?p=327\"> [...]<\/a>","protected":false},"author":2,"featured_media":335,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"sfsi_plus_gutenberg_text_before_share":"","sfsi_plus_gutenberg_show_text_before_share":"","sfsi_plus_gutenberg_icon_type":"","sfsi_plus_gutenberg_icon_alignemt":"","sfsi_plus_gutenburg_max_per_row":"","footnotes":""},"categories":[12],"tags":[13],"class_list":["post-327","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-etwinning","tag-etwinning"],"_links":{"self":[{"href":"https:\/\/matematyka.sp3pabianice.pl\/index.php?rest_route=\/wp\/v2\/posts\/327","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/matematyka.sp3pabianice.pl\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/matematyka.sp3pabianice.pl\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/matematyka.sp3pabianice.pl\/index.php?rest_route=\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/matematyka.sp3pabianice.pl\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=327"}],"version-history":[{"count":3,"href":"https:\/\/matematyka.sp3pabianice.pl\/index.php?rest_route=\/wp\/v2\/posts\/327\/revisions"}],"predecessor-version":[{"id":339,"href":"https:\/\/matematyka.sp3pabianice.pl\/index.php?rest_route=\/wp\/v2\/posts\/327\/revisions\/339"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/matematyka.sp3pabianice.pl\/index.php?rest_route=\/wp\/v2\/media\/335"}],"wp:attachment":[{"href":"https:\/\/matematyka.sp3pabianice.pl\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=327"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/matematyka.sp3pabianice.pl\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=327"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/matematyka.sp3pabianice.pl\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=327"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}