{"id":6,"date":"2019-09-05T17:59:41","date_gmt":"2019-09-05T17:59:41","guid":{"rendered":"https:\/\/sites.ced.ncsu.edu\/acing\/?page_id=6"},"modified":"2024-05-21T14:07:39","modified_gmt":"2024-05-21T14:07:39","slug":"animated-contrasting-cases-in-geometry","status":"publish","type":"page","link":"https:\/\/sites.ced.ncsu.edu\/acing\/","title":{"rendered":"Home"},"content":{"rendered":"\n\n\n\n<div class=\"wp-block-image\">\n<figure class=\"alignright\"><img loading=\"lazy\" decoding=\"async\" width=\"232\" height=\"300\" src=\"https:\/\/sites.ced.ncsu.edu\/acing\/wp-content\/uploads\/sites\/10\/2020\/06\/Rotation-WEP-232x300.jpg\" alt=\"\" class=\"wp-image-173\" srcset=\"https:\/\/sites.ced.ncsu.edu\/acing\/wp-content\/uploads\/sites\/10\/2020\/06\/Rotation-WEP-232x300.jpg 232w, https:\/\/sites.ced.ncsu.edu\/acing\/wp-content\/uploads\/sites\/10\/2020\/06\/Rotation-WEP-791x1024.jpg 791w, https:\/\/sites.ced.ncsu.edu\/acing\/wp-content\/uploads\/sites\/10\/2020\/06\/Rotation-WEP-768x994.jpg 768w, https:\/\/sites.ced.ncsu.edu\/acing\/wp-content\/uploads\/sites\/10\/2020\/06\/Rotation-WEP-460x595.jpg 460w, https:\/\/sites.ced.ncsu.edu\/acing\/wp-content\/uploads\/sites\/10\/2020\/06\/Rotation-WEP-920x1191.jpg 920w, https:\/\/sites.ced.ncsu.edu\/acing\/wp-content\/uploads\/sites\/10\/2020\/06\/Rotation-WEP-376x487.jpg 376w, https:\/\/sites.ced.ncsu.edu\/acing\/wp-content\/uploads\/sites\/10\/2020\/06\/Rotation-WEP-752x973.jpg 752w, https:\/\/sites.ced.ncsu.edu\/acing\/wp-content\/uploads\/sites\/10\/2020\/06\/Rotation-WEP-345x446.jpg 345w, https:\/\/sites.ced.ncsu.edu\/acing\/wp-content\/uploads\/sites\/10\/2020\/06\/Rotation-WEP-690x893.jpg 690w, https:\/\/sites.ced.ncsu.edu\/acing\/wp-content\/uploads\/sites\/10\/2020\/06\/Rotation-WEP-950x1229.jpg 950w, https:\/\/sites.ced.ncsu.edu\/acing\/wp-content\/uploads\/sites\/10\/2020\/06\/Rotation-WEP-783x1013.jpg 783w, https:\/\/sites.ced.ncsu.edu\/acing\/wp-content\/uploads\/sites\/10\/2020\/06\/Rotation-WEP-720x932.jpg 720w, https:\/\/sites.ced.ncsu.edu\/acing\/wp-content\/uploads\/sites\/10\/2020\/06\/Rotation-WEP-1187x1536.jpg 1187w, https:\/\/sites.ced.ncsu.edu\/acing\/wp-content\/uploads\/sites\/10\/2020\/06\/Rotation-WEP-1200x1553.jpg 1200w, https:\/\/sites.ced.ncsu.edu\/acing\/wp-content\/uploads\/sites\/10\/2020\/06\/Rotation-WEP-1024x1325.jpg 1024w, https:\/\/sites.ced.ncsu.edu\/acing\/wp-content\/uploads\/sites\/10\/2020\/06\/Rotation-WEP-600x776.jpg 600w, https:\/\/sites.ced.ncsu.edu\/acing\/wp-content\/uploads\/sites\/10\/2020\/06\/Rotation-WEP-300x388.jpg 300w, https:\/\/sites.ced.ncsu.edu\/acing\/wp-content\/uploads\/sites\/10\/2020\/06\/Rotation-WEP-230x298.jpg 230w, https:\/\/sites.ced.ncsu.edu\/acing\/wp-content\/uploads\/sites\/10\/2020\/06\/Rotation-WEP.jpg 1275w\" sizes=\"auto, (max-width: 232px) 100vw, 232px\" \/><\/figure>\n<\/div>\n\n\n<p>What is a geometric dilation? Why does the Pythagorean theorem work? What&#8217;s the difference in corresponding and supplementary angles? How do I find the volume of a composite figure?<\/p>\n\n\n\n<p>These are all questions that middle school students are expected to be able to answer. Through our research and the consequent development of these materials, we hope to make the answers to these questions a little easier to understand.<\/p>\n\n\n\n<p>In this collection of materials, we cover four geometric topics: <a href=\"https:\/\/sites.ced.ncsu.edu\/acing\/curricular-materials\/angles\/\">Angles<\/a>, <a href=\"https:\/\/sites.ced.ncsu.edu\/acing\/curricular-materials\/transformations\/\">Transformations<\/a>, <a href=\"https:\/\/sites.ced.ncsu.edu\/acing\/curricular-materials\/pythagorean-theorem\/\">Pythagorean Theorem<\/a>, and <a href=\"https:\/\/sites.ced.ncsu.edu\/acing\/curricular-materials\/volume\/\">Volume<\/a>. These topics are discussed in scenarios of contrasting cases, where two fictional students each present a unique method or solution strategy to the same problem. The goal is then to analyze both methods and discuss similarities and differences, strengths and weaknesses of each. Visit the <a href=\"https:\/\/sites.ced.ncsu.edu\/acing\/curricular-materials\/\">Curricular Materials<\/a> page to explore each unit.<\/p>\n\n\n\n<p class=\"has-text-align-center\"><a href=\"https:\/\/acinggeometry.org\/index.php\" target=\"_blank\" rel=\"noreferrer noopener\">View the animated materials here!<\/a><\/p>\n\n\n\n<div class=\"wp-block-ncst-big-fact has-gray-800-background-color\"><div class=\"big-fact__container\"><h2 class=\"big-fact__heading\">What makes these materials unique?<\/h2>\n<div class=\"wp-block-ncst-buttons\"><\/div>\n<\/div><\/div>\n\n\n\n<p>Continuing the work done on contrasting cases in algebra by a research team at Harvard, this project:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>aims to digitize and animate the contrasting cases for even greater visual effect, which may lead to more in-depth understanding of the material.<\/li>\n\n\n\n<li>explores the realm of geometry, a subject often associated with visual learners.<\/li>\n\n\n\n<li>affords students the opportunity to critique the reasoning of others (in this case, two fictitious students), a skill that is an often-overlooked component of many states&#8217; mathematical standards.<\/li>\n<\/ul>\n\n\n\n<p class=\"has-text-align-center\"><a href=\"https:\/\/acinggeometry.org\/index.php\" target=\"_blank\" rel=\"noreferrer noopener\">View the animated materials here!<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>What is a geometric dilation? Why does the Pythagorean theorem work? What&#8217;s the difference in corresponding and supplementary angles? How do I find the volume of a composite figure? These are all questions that middle school students are expected to be able to answer. Through our research and the consequent development of these materials, we&hellip;<\/p>\n","protected":false},"author":2,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_acf_changed":false,"ncst_dynamicHeaderBlockName":"ncst\/default-header","ncst_dynamicHeaderData":"{}","ncst_content_audit_freq":"","ncst_content_audit_date":"","footnotes":"","_links_to":"","_links_to_target":""},"class_list":["post-6","page","type-page","status-publish","hentry"],"acf":[],"_links":{"self":[{"href":"https:\/\/sites.ced.ncsu.edu\/acing\/wp-json\/wp\/v2\/pages\/6","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/sites.ced.ncsu.edu\/acing\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/sites.ced.ncsu.edu\/acing\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/sites.ced.ncsu.edu\/acing\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/sites.ced.ncsu.edu\/acing\/wp-json\/wp\/v2\/comments?post=6"}],"version-history":[{"count":38,"href":"https:\/\/sites.ced.ncsu.edu\/acing\/wp-json\/wp\/v2\/pages\/6\/revisions"}],"predecessor-version":[{"id":406,"href":"https:\/\/sites.ced.ncsu.edu\/acing\/wp-json\/wp\/v2\/pages\/6\/revisions\/406"}],"wp:attachment":[{"href":"https:\/\/sites.ced.ncsu.edu\/acing\/wp-json\/wp\/v2\/media?parent=6"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}