{"id":1027,"date":"2020-06-05T16:03:13","date_gmt":"2020-06-05T23:03:13","guid":{"rendered":"https:\/\/mathtalk.sdsu.edu\/wordpress\/?page_id=1027"},"modified":"2025-08-04T11:38:43","modified_gmt":"2025-08-04T18:38:43","slug":"parabolas-lesson-3-episode-1-teachers","status":"publish","type":"page","link":"https:\/\/mathtalk.sdsu.edu\/wordpress\/mathtalk-for-teachers\/parabolas-unit-teachers\/parabolas-lesson-3-teachers\/parabolas-lesson-3-episode-1-teachers\/","title":{"rendered":"Parabolas Lesson 3 Episode 1 (Teachers)"},"content":{"rendered":"\n<h3 class=\"wp-block-heading\">Making Sense<\/h3>\n\n\n\n<div id=\"video_shown_first\" style=\"display:block\">\n<p>\n\n<div class=\"youtube-player\" data-id=\"c_vW6qf_YUg\"><\/div>\n\n<\/p>\n<p style=\"text-align:center;\"><span style=\"font-size:90%\">No captions <a onclick=\"toggle_text('video_shown_first', 'video_hidden_first')\"><img loading=\"lazy\" decoding=\"async\" width=\"60\" height=\"36\" class=\"wp-image-3255\" style=\"width: 60px;\" src=\"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-content\/uploads\/2021\/03\/toggle-left.png\" alt=\"toggle left\" srcset=\"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-content\/uploads\/2021\/03\/toggle-left.png 380w, https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-content\/uploads\/2021\/03\/toggle-left-300x178.png 300w\" sizes=\"auto, (max-width: 60px) 100vw, 60px\" \/><\/a> Captions<\/span><br><span style=\"font-size:80%\"><strong>Stop<\/strong> the video above first if it is playing.<\/span>\n<\/p>\n\n<\/div>\n\n<div id=\"video_hidden_first\" style=\"display:none\">\n<p>\n\n<div class=\"youtube-player\" data-id=\"clRYSTa8pF0\"><\/div>\n\n<\/p>\n\n<p style=\"text-align:center;\"><span style=\"font-size:90%\">No captions <a onclick=\"toggle_text('video_shown_first', 'video_hidden_first')\"><a onclick=\"toggle_text('video_shown_first', 'video_hidden_first')\"><img loading=\"lazy\" decoding=\"async\" width=\"60\" height=\"36\" class=\"wp-image-3256\" style=\"width: 60px;\" src=\"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-content\/uploads\/2021\/03\/toggle-right.png\" alt=\"toggle right\" srcset=\"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-content\/uploads\/2021\/03\/toggle-right.png 380w, https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-content\/uploads\/2021\/03\/toggle-right-300x178.png 300w\" sizes=\"auto, (max-width: 60px) 100vw, 60px\" \/><\/a> Captions<\/span><br><span style=\"font-size:80%\"><strong>Stop<\/strong> the video above first if it is playing.<\/span>\n<\/p>\n<\/div>\n\n\n\n<p class=\"wp-block-paragraph\"><a href=\"https:\/\/mathtalk.sdsu.edu\/wordpress\/parabolas_l3e1_student-worksheet\/\" 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 rel=\"noreferrer noopener\" href=\"https:\/\/web2.0calc.com\/\" target=\"_blank\"><img loading=\"lazy\" decoding=\"async\" width=\"150\" height=\"48\" class=\"wp-image-485\" style=\"width: 150px;\" src=\"http:\/\/mathtalk.sdsu.edu\/wordpress\/wp-content\/uploads\/2020\/04\/calculator.jpg\" alt=\"Link to on-line calculator\"><\/a><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Sasha and Keoni grapple with how to represent a general point on the parabola and how to express different distances involving that point.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-text-color has-vivid-cyan-blue-color has-css-opacity has-vivid-cyan-blue-background-color has-background\"\/>\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-l3e1-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='6a147c3683d925016312098' value='6a147c3683d925016312098'><input type='hidden' id='bg-show-more-text-6a147c3683d925016312098' value=' '><input type='hidden' id='bg-show-less-text-6a147c3683d925016312098' value=' '><button id='bg-showmore-action-6a147c3683d925016312098' class='bg-showmore-plg-button bg-blue-button bg-arrow '   style=\" color:white;\"> <\/button><div id='bg-showmore-hidden-6a147c3683d925016312098' ><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Students might struggle to represent the distances from a point on the parabola where the y-value is general.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">After struggling to label the distance from the point to the directrix, Sasha and Keoni examine their methods [see <strong>3:01 \u2013 4:08<\/strong>] to solve for the x-value of a point on the parabola when the y \u2013value was 5, 7, and 10 to support finding a generalization. Sasha and Keoni continue to struggle with generalizing the distances in this episode. <\/div><\/p>\n\n\n\n<p class=\"has-medium-font-size wp-block-paragraph\">Focus Questions <input type='hidden' bg_collapse_expand='6a147c3683e149090252693' value='6a147c3683e149090252693'><input type='hidden' id='bg-show-more-text-6a147c3683e149090252693' value=' '><input type='hidden' id='bg-show-less-text-6a147c3683e149090252693' value=' '><button id='bg-showmore-action-6a147c3683e149090252693' class='bg-showmore-plg-button bg-blue-button bg-arrow '   style=\" color:white;\"> <\/button><div id='bg-showmore-hidden-6a147c3683e149090252693' ><\/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 video at <strong>4:08<\/strong>]. Keoni said it will always be y +1. What is y plus 1? Where does the one come from?<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">2. [Pause video at <strong>6:03<\/strong>]. Keoni drew a horizontal line. What is true about every point on that line?<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">3. [Pause the video at <strong>8:35<\/strong>]. What have Sasha and Keoni figured out so far? <\/div><\/p>\n\n\n\n<p class=\"has-medium-font-size wp-block-paragraph\">Supporting Dialogue <input type='hidden' bg_collapse_expand='6a147c3683e7b7057775043' value='6a147c3683e7b7057775043'><input type='hidden' id='bg-show-more-text-6a147c3683e7b7057775043' value=' '><input type='hidden' id='bg-show-less-text-6a147c3683e7b7057775043' value=' '><button id='bg-showmore-action-6a147c3683e7b7057775043' class='bg-showmore-plg-button bg-blue-button bg-arrow '   style=\" color:white;\"> <\/button><div id='bg-showmore-hidden-6a147c3683e7b7057775043' ><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Focus students\u2019 attention on measurable distances and their representations by asking:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">1. Where are y, y + 1, 1, and y \u2013 1? Come up to the board and point to these distances.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">2. Does anybody else see these distances represented in another place on the graph? Show us on the graph where you see them. How do you know that the distances are the same? [\\bg_collapse]<\/p>\n\n\n\n<p class=\"has-medium-font-size wp-block-paragraph\">Math Extensions <input type='hidden' bg_collapse_expand='6a147c3683f447090211102' value='6a147c3683f447090211102'><input type='hidden' id='bg-show-more-text-6a147c3683f447090211102' value=' '><input type='hidden' id='bg-show-less-text-6a147c3683f447090211102' value=' '><button id='bg-showmore-action-6a147c3683f447090211102' class='bg-showmore-plg-button bg-blue-button bg-arrow '   style=\" color:white;\"> <\/button><div id='bg-showmore-hidden-6a147c3683f447090211102' ><\/div><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Consider the circle below.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">1. Find the x-value of points on the circle for x-values of 3, 4, and 2.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">2. Find an equation for the x-value of a point on the circle for a general y-value. Summarize your methods.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"> <img loading=\"lazy\" decoding=\"async\" width=\"268\" height=\"243\" class=\"wp-image-1036\" style=\"width: 268px\" src=\"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-content\/uploads\/2020\/06\/parabolas-l3-e1-teachers.jpg\" alt=\"Parabolas L3 E1 Math Extension circle\"> <\/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 wp-element-button\" href=\"https:\/\/mathtalk.sdsu.edu\/wordpress\/mathtalk-for-teachers\/parabolas-unit-teachers\/parabolas-lesson-2-teachers\/parabolas-lesson-2-episode-5-teachers\/\">Lesson 2 Episode 5<\/a><\/div>\n\n\n\n<div class=\"wp-block-button\"><a class=\"wp-block-button__link wp-element-button\" href=\"https:\/\/mathtalk.sdsu.edu\/wordpress\/mathtalk-for-teachers\/parabolas-unit-teachers\/parabolas-lesson-3-teachers\/parabolas-lesson-3-episode-2-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-3-teachers\/\" style=\"background-color:#2d4059\">Lesson 3<\/a><\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Making Sense No captions CaptionsStop the video above first if it is playing. No captions CaptionsStop the video above first if it is playing. Sasha and Keoni grapple with how to represent a general point on the parabola and how to express different distances involving that point. Episode Supports Students\u2019 Conceptual Challenges Focus Questions Supporting [&hellip;]<\/p>\n","protected":false},"author":2,"featured_media":0,"parent":1015,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-1027","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-json\/wp\/v2\/pages\/1027","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=1027"}],"version-history":[{"count":12,"href":"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-json\/wp\/v2\/pages\/1027\/revisions"}],"predecessor-version":[{"id":8331,"href":"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-json\/wp\/v2\/pages\/1027\/revisions\/8331"}],"up":[{"embeddable":true,"href":"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-json\/wp\/v2\/pages\/1015"}],"wp:attachment":[{"href":"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-json\/wp\/v2\/media?parent=1027"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}