{"id":304,"date":"2020-09-02T16:52:37","date_gmt":"2020-09-02T16:52:37","guid":{"rendered":"https:\/\/www.terc.edu\/viste\/?page_id=304"},"modified":"2021-11-12T23:34:43","modified_gmt":"2021-11-12T23:34:43","slug":"geogebra-activities-for-argumentation","status":"publish","type":"page","link":"https:\/\/www.terc.edu\/viste\/resources\/geogebra-activities-for-argumentation\/","title":{"rendered":"GeoGebra Activities for Argumentation"},"content":{"rendered":"\n<p>Try these activities to stimulate students\u2019 conjectures. Created with <a rel=\"noreferrer noopener\" href=\"https:\/\/www.geogebra.org\" target=\"_blank\">GeoGebra<\/a>, by Hee-Joon Kim.<\/p>\n\n\n\n<h4 class=\"wp-block-heading\"><br>Inscribed Square<\/h4>\n\n\n\n<p class=\"has-text-align-center\"><a href=\"https:\/\/www.geogebra.org\" target=\"_blank\" rel=\"noreferrer noopener\"><img loading=\"lazy\" decoding=\"async\" width=\"350\" height=\"340\" class=\"wp-image-602\" style=\"width: 350px;\" src=\"http:\/\/www.terc.edu\/viste\/wp-content\/uploads\/sites\/12\/2020\/12\/inscribed_square.png\" alt=\"inscribed square\" srcset=\"https:\/\/www.terc.edu\/viste\/wp-content\/uploads\/sites\/12\/2020\/12\/inscribed_square.png 924w, https:\/\/www.terc.edu\/viste\/wp-content\/uploads\/sites\/12\/2020\/12\/inscribed_square-300x292.png 300w, https:\/\/www.terc.edu\/viste\/wp-content\/uploads\/sites\/12\/2020\/12\/inscribed_square-768x746.png 768w\" sizes=\"auto, (max-width: 350px) 100vw, 350px\" \/><\/a><\/p>\n\n\n\n<p>The figure ABCD is a square. The figure EFGH is a square inscribed in the square ABCD.&nbsp;<\/p>\n\n\n\n<ol class=\"wp-block-list\" type=\"1\"><li>Move the point E along the side AB. What do you notice?&nbsp;<\/li><li>Make a conjecture about the inscribed square EFGH.&nbsp;<\/li><\/ol>\n\n\n\n<hr class=\"wp-block-separator\"\/>\n\n\n\n<h4 class=\"wp-block-heading\"><br><strong>Reflection on a Coordinate Plane<\/strong><\/h4>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-large is-resized\"><a href=\"https:\/\/www.geogebra.org\/m\/ctaaa94r\" target=\"_blank\" rel=\"noopener noreferrer\"><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/www.terc.edu\/viste\/wp-content\/uploads\/sites\/12\/2020\/09\/trianbleABC-1024x672.png\" alt=\"ABC triangle\" class=\"wp-image-293\" width=\"512\" height=\"336\" srcset=\"https:\/\/www.terc.edu\/viste\/wp-content\/uploads\/sites\/12\/2020\/09\/trianbleABC-1024x672.png 1024w, https:\/\/www.terc.edu\/viste\/wp-content\/uploads\/sites\/12\/2020\/09\/trianbleABC-300x197.png 300w, https:\/\/www.terc.edu\/viste\/wp-content\/uploads\/sites\/12\/2020\/09\/trianbleABC-768x504.png 768w, https:\/\/www.terc.edu\/viste\/wp-content\/uploads\/sites\/12\/2020\/09\/trianbleABC-1536x1008.png 1536w, https:\/\/www.terc.edu\/viste\/wp-content\/uploads\/sites\/12\/2020\/09\/trianbleABC.png 1874w\" sizes=\"auto, (max-width: 512px) 100vw, 512px\" \/><\/a><\/figure><\/div>\n\n\n\n<p>The triangle A\u2019B\u2019C\u2019 is an image of the triangle ABC after reflection across the red line.&nbsp;<\/p>\n\n\n\n<ol class=\"wp-block-list\" type=\"1\"><li>Move the line of reflection either by dragging the line or moving the black points on the line. What do you notice?&nbsp;&nbsp;<\/li><li>Make a conjecture about relationships between the preimage and the image after the reflection.<\/li><\/ol>\n\n\n\n<p>For further exploration and conjecturing, look at coordinates or ancillary segments.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Try these activities to stimulate students\u2019 conjectures. Created with <a rel=\"noreferrer noopener\" href=\"https:\/\/www.geogebra.org\" target=\"_blank\">GeoGebra<\/a>, by Hee-Joon Kim.<\/p>\n<p>Inscribed Square<\/p>\n<p><a href=\"https:\/\/www.geogebra.org\" target=\"_blank\" rel=\"noreferrer noopener\"><\/a><\/p>\n<p>The figure ABCD is a square. The figure EFGH is a square inscribed in the square ABCD.&nbsp;<\/p>\n<p>Move the point E along the side AB. What do you notice?&nbsp;Make a conjecture about the inscribed square EFGH.&nbsp;<\/p>\n<p>Reflection on a Coordinate Plane<\/p>\n<p><a href=\"https:\/\/www.geogebra.org\/m\/ctaaa94r\" target=\"_blank\" rel=\"noopener noreferrer\"><\/a><\/p>\n<p>The triangle A\u2019B\u2019C\u2019 is an image of the triangle ABC after reflection across the red line.&nbsp;  <a href=\"https:\/\/www.terc.edu\/viste\/resources\/geogebra-activities-for-argumentation\/\">&nbsp;&raquo;&nbsp;Read more<\/a><\/p>\n","protected":false},"author":4,"featured_media":0,"parent":151,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"template-fullwidth.php","meta":{"_acf_changed":false,"_relevanssi_hide_post":"","_relevanssi_hide_content":"","_relevanssi_pin_for_all":"","_relevanssi_pin_keywords":"","_relevanssi_unpin_keywords":"","_relevanssi_related_keywords":"","_relevanssi_related_include_ids":"","_relevanssi_related_exclude_ids":"","_relevanssi_related_no_append":"","_relevanssi_related_not_related":"","_relevanssi_related_posts":"","_relevanssi_noindex_reason":"","footnotes":""},"class_list":["post-304","page","type-page","status-publish","hentry"],"acf":[],"_links":{"self":[{"href":"https:\/\/www.terc.edu\/viste\/wp-json\/wp\/v2\/pages\/304","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.terc.edu\/viste\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.terc.edu\/viste\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.terc.edu\/viste\/wp-json\/wp\/v2\/users\/4"}],"replies":[{"embeddable":true,"href":"https:\/\/www.terc.edu\/viste\/wp-json\/wp\/v2\/comments?post=304"}],"version-history":[{"count":19,"href":"https:\/\/www.terc.edu\/viste\/wp-json\/wp\/v2\/pages\/304\/revisions"}],"predecessor-version":[{"id":716,"href":"https:\/\/www.terc.edu\/viste\/wp-json\/wp\/v2\/pages\/304\/revisions\/716"}],"up":[{"embeddable":true,"href":"https:\/\/www.terc.edu\/viste\/wp-json\/wp\/v2\/pages\/151"}],"wp:attachment":[{"href":"https:\/\/www.terc.edu\/viste\/wp-json\/wp\/v2\/media?parent=304"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}