{"id":1574,"date":"2020-06-22T15:21:53","date_gmt":"2020-06-22T22:21:53","guid":{"rendered":"https:\/\/mathtalk.sdsu.edu\/wordpress\/?page_id=1574"},"modified":"2020-09-25T14:29:24","modified_gmt":"2020-09-25T21:29:24","slug":"parabolas-lesson-10-episode-4-teachers","status":"publish","type":"page","link":"https:\/\/mathtalk.sdsu.edu\/wordpress\/mathtalk-for-teachers\/parabolas-unit-teachers\/parabolas-lesson-10-teachers\/parabolas-lesson-10-episode-4-teachers\/","title":{"rendered":"Parabolas Lesson 10 Episode 4 (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 10 Episode 4\" width=\"580\" height=\"326\" src=\"https:\/\/www.youtube.com\/embed\/aA44ZP2WDB0?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 class=\"wp-block-paragraph\"><a href=\"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-content\/uploads\/parabolas-student-docs\/parabolas_l10_e4-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><a href=\"http:\/\/www.virtualnerd.com\/algebra-2\/quadratics\/solve-equations-by-factoring\/factoring-strategies\/trinomial-factorization-example\" target=\"_blank\" rel=\"noreferrer noopener\"><img loading=\"lazy\" decoding=\"async\" width=\"150\" height=\"46\" class=\"wp-image-483\" style=\"width: 150px;\" src=\"http:\/\/mathtalk.sdsu.edu\/wordpress\/wp-content\/uploads\/2020\/04\/more_info.jpg\" alt=\"Link to more information\"><\/a><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Keoni and Sasha examine an equation of a parabola in a different form, y = x<sup>2<\/sup> \u2013 4x + 4. When they look for geometric information, the p-value and vertex are not apparent. They start by rewriting the equation.<\/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-l10e4-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 wp-block-paragraph\">Students\u2019 Conceptual Challenges <input type='hidden' bg_collapse_expand='6a1b2dc06f2383070479991' value='6a1b2dc06f2383070479991'><input type='hidden' id='bg-show-more-text-6a1b2dc06f2383070479991' value=' '><input type='hidden' id='bg-show-less-text-6a1b2dc06f2383070479991' value=' '><button id='bg-showmore-action-6a1b2dc06f2383070479991' class='bg-showmore-plg-button bg-blue-button bg-arrow '   style=\" color:white;\"> <\/button><div id='bg-showmore-hidden-6a1b2dc06f2383070479991' ><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Sasha tries to create something that looks like the parenthesis (x \u2013 h) from the vertex form by factoring out an x <strong>[1:08\u20131:24]<\/strong>.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u27a4 When asked if that form is helpful, she quickly realizes this doesn\u2019t satisfy the need for a squared term, i.e., like (x \u2013 h)<sup>2<\/sup> <strong>[1:26-1:34]<\/strong>. <\/div><\/p>\n\n\n\n<p class=\"has-medium-font-size wp-block-paragraph\">Focus Questions <input type='hidden' bg_collapse_expand='6a1b2dc06f35e6068276816' value='6a1b2dc06f35e6068276816'><input type='hidden' id='bg-show-more-text-6a1b2dc06f35e6068276816' value=' '><input type='hidden' id='bg-show-less-text-6a1b2dc06f35e6068276816' value=' '><button id='bg-showmore-action-6a1b2dc06f35e6068276816' class='bg-showmore-plg-button bg-blue-button bg-arrow '   style=\" color:white;\"> <\/button><div id='bg-showmore-hidden-6a1b2dc06f35e6068276816' ><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">For use in a classroom, pause the video and ask these questions:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">1. [Pause the video at <strong>1:23<\/strong>]. Is y = x<sup>2<\/sup> \u2013 4x + 4 equivalent to y = x(x \u2013 4) + 4? How do you know? Does the re-expressing the equation this way support the goal of finding geometric information?<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">2. [Pause the video at <strong>2:52<\/strong>]. Explain why the p-value is \u00bc. <\/div><\/p>\n\n\n\n<p class=\"has-medium-font-size wp-block-paragraph\">Supporting Dialogue <input type='hidden' bg_collapse_expand='6a1b2dc06f3f77066993080' value='6a1b2dc06f3f77066993080'><input type='hidden' id='bg-show-more-text-6a1b2dc06f3f77066993080' value=' '><input type='hidden' id='bg-show-less-text-6a1b2dc06f3f77066993080' value=' '><button id='bg-showmore-action-6a1b2dc06f3f77066993080' class='bg-showmore-plg-button bg-blue-button bg-arrow '   style=\" color:white;\"> <\/button><div id='bg-showmore-hidden-6a1b2dc06f3f77066993080' ><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Support the opportunity to revoice the mathematical ideas of others. Ask students to answer the focus questions with their partner. Ask them to prepare their answers to share with the class. <\/div><\/p>\n\n\n\n<p class=\"has-medium-font-size wp-block-paragraph\">Math Extensions <input type='hidden' bg_collapse_expand='6a1b2dc06f44b3066159733' value='6a1b2dc06f44b3066159733'><input type='hidden' id='bg-show-more-text-6a1b2dc06f44b3066159733' value=' '><input type='hidden' id='bg-show-less-text-6a1b2dc06f44b3066159733' value=' '><button id='bg-showmore-action-6a1b2dc06f44b3066159733' class='bg-showmore-plg-button bg-blue-button bg-arrow '   style=\" color:white;\"> <\/button><div id='bg-showmore-hidden-6a1b2dc06f44b3066159733' ><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">1. Graph y = x<sup>2<\/sup> \u2013 4x + 4. List and label all of the geometric information.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">2. Find and label the \u201cspecial points.\u201d How did you find them? <\/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-10-teachers\/parabolas-lesson-10-episode-3-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-10-teachers\/parabolas-lesson-10-episode-5-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-10-teachers\/\" style=\"background-color:#2d4059\">Lesson 10<\/a><\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Making Sense Keoni and Sasha examine an equation of a parabola in a different form, y = x2 \u2013 4x + 4. When they look for geometric information, the p-value and vertex are not apparent. They start by rewriting the equation. Episode Supports Students\u2019 Conceptual Challenges Focus Questions Supporting Dialogue Math Extensions<\/p>\n","protected":false},"author":2,"featured_media":0,"parent":1538,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-1574","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-json\/wp\/v2\/pages\/1574","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=1574"}],"version-history":[{"count":10,"href":"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-json\/wp\/v2\/pages\/1574\/revisions"}],"predecessor-version":[{"id":2632,"href":"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-json\/wp\/v2\/pages\/1574\/revisions\/2632"}],"up":[{"embeddable":true,"href":"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-json\/wp\/v2\/pages\/1538"}],"wp:attachment":[{"href":"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-json\/wp\/v2\/media?parent=1574"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}