{"id":6316,"date":"2024-07-01T13:07:00","date_gmt":"2024-07-01T20:07:00","guid":{"rendered":"https:\/\/mathtalk.sdsu.edu\/wordpress\/?page_id=6316"},"modified":"2024-07-01T14:00:00","modified_gmt":"2024-07-01T21:00:00","slug":"trigonometry-lesson-5","status":"publish","type":"page","link":"https:\/\/mathtalk.sdsu.edu\/wordpress\/mathtalk-for-students\/trigonometric-concepts-unit\/trigonometry-lesson-5\/","title":{"rendered":"Trigonometry Lesson 5"},"content":{"rendered":"\n<h3 class=\"wp-block-heading\">Exploring Covariation on a Unit Circle<\/h3>\n\n\n\n<p>In this lesson, Mary and Claire think about how an object\u2019s height changes in relation to its angle of rotation as it moves along a circular path. They also explore what happens to the changes in height as the object moves. They explore how this relates to circular motion along different sizes of circles.&nbsp;<\/p>\n\n\n\n<h5 class=\"wp-block-heading\"><strong><a href=\"https:\/\/mathtalk.sdsu.edu\/wordpress\/mathtalk-for-students\/trigonometric-concepts-unit\/trigonometry-lesson-5\/trigonometry-lesson-5-episode-1\/\" data-type=\"page\" data-id=\"6323\">Episode 1: Making Sense<\/a><\/strong><\/h5>\n\n\n\n<p>The students get a feel for how the height above a circular midline changes as they trace their fingers along a circular path. They think about when their height changes quickly and when it changes slowly.<\/p>\n\n\n\n<h5 class=\"wp-block-heading\"><strong><a href=\"https:\/\/mathtalk.sdsu.edu\/wordpress\/mathtalk-for-students\/trigonometric-concepts-unit\/trigonometry-lesson-5\/trigonometry-lesson-5-episode-2\/\">Episode 2: Exploring<\/a><\/strong><\/h5>\n\n\n\n<p>The students explore the path a fly takes as it travels along the tip of a fan blade at 8 stops. They think about the fly\u2019s height above the middle of the fan and how that changes with the angle of rotation.&nbsp;<\/p>\n\n\n\n<h5 class=\"wp-block-heading\"><strong><a href=\"https:\/\/mathtalk.sdsu.edu\/wordpress\/mathtalk-for-students\/trigonometric-concepts-unit\/trigonometry-lesson-5\/trigonometry-lesson-5-episode-3\/\" data-type=\"page\" data-id=\"6332\">Episode 3: Repeating Your Reasoning<\/a><\/strong><\/h5>\n\n\n\n<p>The students explore the path a fly takes as it travels along the tip of a fan blade at 12 stops. They think about the fly\u2019s height above the middle of the fan and how that changes with the angle of rotation.&nbsp;<\/p>\n\n\n\n<h5 class=\"wp-block-heading\"><strong><a href=\"https:\/\/mathtalk.sdsu.edu\/wordpress\/mathtalk-for-students\/trigonometric-concepts-unit\/trigonometry-lesson-5\/trigonometry-lesson-5-episode-4\/\" data-type=\"page\" data-id=\"6336\">Episode 4: Reflecting<\/a><\/strong><\/h5>\n\n\n\n<p>Mary and Claire reflect on the patterns they notice regarding how the height above the midline changes, and how the angle of rotation changes on any size circle.&nbsp;&nbsp;<\/p>\n\n\n\n<div class=\"wp-block-buttons is-layout-flex wp-block-buttons-is-layout-flex\">\n<div class=\"wp-block-button\"><a class=\"wp-block-button__link has-background wp-element-button\" href=\"https:\/\/mathtalk.sdsu.edu\/wordpress\/\" style=\"background-color:#2d4059\">Home<\/a><\/div>\n\n\n\n<div class=\"wp-block-button\"><a class=\"wp-block-button__link has-background wp-element-button\" href=\"https:\/\/mathtalk.sdsu.edu\/wordpress\/mathtalk-for-students\/\" style=\"background-color:#2d4059\">Units<\/a><\/div>\n\n\n\n<div class=\"wp-block-button\"><a class=\"wp-block-button__link has-background wp-element-button\" href=\"https:\/\/mathtalk.sdsu.edu\/wordpress\/mathtalk-for-students\/trigonometric-concepts-unit\/\" style=\"background-color:#2d4059\">Trigonometry<\/a><\/div>\n<\/div>\n\n\n\n<p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Exploring Covariation on a Unit Circle In this lesson, Mary and Claire think about how an object\u2019s height changes in relation to its angle of rotation as it moves along a circular path. They also explore what happens to the changes in height as the object moves. They explore how this relates to circular motion [&hellip;]<\/p>\n","protected":false},"author":2,"featured_media":0,"parent":145,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-6316","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-json\/wp\/v2\/pages\/6316","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-json\/wp\/v2\/comments?post=6316"}],"version-history":[{"count":6,"href":"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-json\/wp\/v2\/pages\/6316\/revisions"}],"predecessor-version":[{"id":6338,"href":"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-json\/wp\/v2\/pages\/6316\/revisions\/6338"}],"up":[{"embeddable":true,"href":"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-json\/wp\/v2\/pages\/145"}],"wp:attachment":[{"href":"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-json\/wp\/v2\/media?parent=6316"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}