{"id":1518,"date":"2020-06-19T11:23:56","date_gmt":"2020-06-19T18:23:56","guid":{"rendered":"https:\/\/mathtalk.sdsu.edu\/wordpress\/?page_id=1518"},"modified":"2020-08-03T10:57:45","modified_gmt":"2020-08-03T17:57:45","slug":"parabolas-lesson-9-episode-6-teachers","status":"publish","type":"page","link":"https:\/\/mathtalk.sdsu.edu\/wordpress\/mathtalk-for-teachers\/parabolas-unit-teachers\/parabolas-lesson-9-teachers\/parabolas-lesson-9-episode-6-teachers\/","title":{"rendered":"Parabolas Lesson 9 Episode 6 (Teachers)"},"content":{"rendered":"\n<h3 class=\"wp-block-heading\">Making Sense<\/h3>\n\n\n\n<figure class=\"wp-block-embed-youtube wp-block-embed is-type-video is-provider-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<iframe loading=\"lazy\" title=\"Lesson 9 Episode 6\" width=\"580\" height=\"326\" src=\"https:\/\/www.youtube.com\/embed\/-p1EZ-yWzfI?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen><\/iframe>\n<\/div><\/figure>\n\n\n\n<p><a href=\"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-content\/uploads\/parabolas-student-docs\/parabolas_l9e6_student-worksheet.pdf\" target=\"_blank\" rel=\"noreferrer noopener\"><img loading=\"lazy\" decoding=\"async\" width=\"150\" height=\"46\" class=\"wp-image-486\" style=\"width: 150px;\" src=\"http:\/\/mathtalk.sdsu.edu\/wordpress\/wp-content\/uploads\/2020\/04\/download_worksheets.jpg\" alt=\"Download Math Task\"><\/a><\/p>\n\n\n\n<p>Sasha and Keoni build on what they have learned in the previous episodes to begin to develop the general equation for any parabola with vertex (h, k) and the distance p from the vertex to the focus.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-text-color has-background has-vivid-cyan-blue-background-color has-vivid-cyan-blue-color\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Episode Supports <a href=\"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-content\/uploads\/parabolas-teacher-docs\/parabolas-l9e6-teacher-support-materials.pdf\" target=\"_blank\" rel=\"noreferrer noopener\"><img loading=\"lazy\" decoding=\"async\" width=\"34\" height=\"34\" class=\"wp-image-2214\" style=\"width: 34px; vertical-align: middle;\" src=\"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-content\/uploads\/2020\/07\/pdf.jpg\" alt=\"\"><\/a><\/h3>\n\n\n\n<p class=\"has-medium-font-size\">Students\u2019 Conceptual Challenges <input type='hidden' bg_collapse_expand='69de251de2eb12045084822' value='69de251de2eb12045084822'><input type='hidden' id='bg-show-more-text-69de251de2eb12045084822' value=' '><input type='hidden' id='bg-show-less-text-69de251de2eb12045084822' value=' '><button id='bg-showmore-action-69de251de2eb12045084822' class='bg-showmore-plg-button bg-blue-button bg-arrow '   style=\" color:white;\"> <\/button><div id='bg-showmore-hidden-69de251de2eb12045084822' ><\/p>\n\n\n\n<p>Sasha found the distance from the focus and the x-axis, which is k+p <strong>[1:59]<\/strong>.&nbsp; But she then equated this distance to the focus rather than identifying the coordinate pair that represents the focus.<\/p>\n\n\n\n<p>\u27a4 After the teacher asks whether k+p represents the x-value or the y-value of the focus, Sasha and Keoni represented the focus with a coordinate pair <strong>[2:27]<\/strong>. <\/div><\/p>\n\n\n\n<p class=\"has-medium-font-size\">Focus Questions <input type='hidden' bg_collapse_expand='69de251de2f6e1062231123' value='69de251de2f6e1062231123'><input type='hidden' id='bg-show-more-text-69de251de2f6e1062231123' value=' '><input type='hidden' id='bg-show-less-text-69de251de2f6e1062231123' value=' '><button id='bg-showmore-action-69de251de2f6e1062231123' class='bg-showmore-plg-button bg-blue-button bg-arrow '   style=\" color:white;\"> <\/button><div id='bg-showmore-hidden-69de251de2f6e1062231123' ><\/p>\n\n\n\n<p>For use in a classroom, pause the video and ask these questions:<\/p>\n\n\n\n<p>1. [Pause the video at <strong>0:50<\/strong>]. Sasha and Keoni just wrote down a long algebraic equation. Where did it come from?<\/p>\n\n\n\n<p>2. [Pause the video at <strong>1:45<\/strong>].&nbsp; Sasha said that they know where they are going. What do we think? What equation do you predict will emerge as they solve for y? <\/div><\/p>\n\n\n\n<p class=\"has-medium-font-size\">Supporting Dialogue <input type='hidden' bg_collapse_expand='69de251de30068080832199' value='69de251de30068080832199'><input type='hidden' id='bg-show-more-text-69de251de30068080832199' value=' '><input type='hidden' id='bg-show-less-text-69de251de30068080832199' value=' '><button id='bg-showmore-action-69de251de30068080832199' class='bg-showmore-plg-button bg-blue-button bg-arrow '   style=\" color:white;\"> <\/button><div id='bg-showmore-hidden-69de251de30068080832199' ><\/p>\n\n\n\n<p>Provide opportunities to for students to revoice mathematical ideas. Ask a few students to revoice the strategies used in this episode:<\/p>\n\n\n\n<p>Revoice Sasha and Keoni\u2019s strategies to solve for y. <\/div><\/p>\n\n\n\n<p class=\"has-medium-font-size\">Math Extensions <input type='hidden' bg_collapse_expand='69de251de303d2057985564' value='69de251de303d2057985564'><input type='hidden' id='bg-show-more-text-69de251de303d2057985564' value=' '><input type='hidden' id='bg-show-less-text-69de251de303d2057985564' value=' '><button id='bg-showmore-action-69de251de303d2057985564' class='bg-showmore-plg-button bg-blue-button bg-arrow '   style=\" color:white;\"> <\/button><div id='bg-showmore-hidden-69de251de303d2057985564' ><\/p>\n\n\n\n<p>A student working on solving for y simplified an expression as shown below:<\/p>\n\n\n\n<p class=\"has-text-align-center\">&nbsp;&nbsp;&nbsp; 2(y\u2013k)(p)<br>+ 2(y\u2013k)(p)<br>_________<br>4(y\u2013k)(2p)<\/p>\n\n\n\n<p>Does this work? Does it not work? How do you know? <\/div><\/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\" href=\"https:\/\/mathtalk.sdsu.edu\/wordpress\/mathtalk-for-teachers\/parabolas-unit-teachers\/parabolas-lesson-9-teachers\/parabolas-lesson-9-episode-5-teachers\/\">Previous Episode<\/a><\/div>\n\n\n\n<div class=\"wp-block-button\"><a class=\"wp-block-button__link\" href=\"https:\/\/mathtalk.sdsu.edu\/wordpress\/mathtalk-for-teachers\/parabolas-unit-teachers\/parabolas-lesson-9-teachers\/parabolas-lesson-9-episode-7-teachers\/\">Next Episode<\/a><\/div>\n<\/div>\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\" 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\" href=\"https:\/\/mathtalk.sdsu.edu\/wordpress\/mathtalk-for-teachers\/\" style=\"background-color:#2d4059\">Teachers Home<\/a><\/div>\n\n\n\n<div class=\"wp-block-button\"><a class=\"wp-block-button__link has-background\" href=\"https:\/\/mathtalk.sdsu.edu\/wordpress\/mathtalk-for-teachers\/parabolas-unit-teachers\/\" style=\"background-color:#2d4059\">Parabolas<\/a><\/div>\n\n\n\n<div class=\"wp-block-button\"><a class=\"wp-block-button__link has-background\" href=\"https:\/\/mathtalk.sdsu.edu\/wordpress\/mathtalk-for-teachers\/parabolas-unit-teachers\/parabolas-lesson-9-teachers\/\" style=\"background-color:#2d4059\">Lesson 9<\/a><\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Making Sense Sasha and Keoni build on what they have learned in the previous episodes to begin to develop the general equation for any parabola with vertex (h, k) and the distance p from the vertex to the focus. Episode Supports Students\u2019 Conceptual Challenges Focus Questions Supporting Dialogue Math Extensions<\/p>\n","protected":false},"author":2,"featured_media":0,"parent":1444,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-1518","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-json\/wp\/v2\/pages\/1518","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=1518"}],"version-history":[{"count":13,"href":"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-json\/wp\/v2\/pages\/1518\/revisions"}],"predecessor-version":[{"id":2456,"href":"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-json\/wp\/v2\/pages\/1518\/revisions\/2456"}],"up":[{"embeddable":true,"href":"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-json\/wp\/v2\/pages\/1444"}],"wp:attachment":[{"href":"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-json\/wp\/v2\/media?parent=1518"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}