{"id":74,"date":"2015-10-07T19:13:38","date_gmt":"2015-10-08T00:13:38","guid":{"rendered":"http:\/\/www.parentfunction.net\/blog\/?p=74"},"modified":"2016-10-10T20:22:36","modified_gmt":"2016-10-11T01:22:36","slug":"data-collection-quadratic-2","status":"publish","type":"post","link":"https:\/\/www.parentfunction.net\/blog\/2015\/10\/07\/data-collection-quadratic-2\/","title":{"rendered":"Data Collection &#8211; Quadratic"},"content":{"rendered":"<p>On Friday, as part of my Innovative Teaching Grant from the <a href=\"http:\/\/www.pearlandisd.org\/domain\/79\" target=\"_blank\">Pearland ISD Education Foundation<\/a>, my students completed their second data collection lab.<\/p>\n<h3>Objectives<\/h3>\n<ul>\n<li>Record height versus time data for a bouncing ball.<\/li>\n<li>Model a single bounce using both the vertex and standard forms of a parabola.<\/li>\n<\/ul>\n<h3>Procedure<\/h3>\n<p><a href=\"http:\/\/www.parentfunction.net\/blog\/wp-content\/uploads\/2015\/08\/Thats-the-Way-the-Ball-Bounces-Instructions.docx\" target=\"_blank\">That&#8217;s the Way the Ball Bounces Instructions<\/a><\/p>\n<p>Since my subject partner&#8217;s classes were not participating in the data collection, we had ten CBR2 to share among all students in the class.\u00a0 With several students out for a pep rally, students were able to work with a partner, and each student collected his\/her own data.\u00a0 Students dropped a racquetball below the CBR2 motion detector.\u00a0 The CBR2 collected data for position vs time for 5 seconds.<\/p>\n<p><a href=\"http:\/\/www.parentfunction.net\/blog\/wp-content\/uploads\/2015\/10\/Ball-Bounce.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-medium wp-image-91\" src=\"http:\/\/www.parentfunction.net\/blog\/wp-content\/uploads\/2015\/10\/Ball-Bounce-300x276.jpg\" alt=\"Ball Bounce\" width=\"300\" height=\"276\" srcset=\"https:\/\/www.parentfunction.net\/blog\/wp-content\/uploads\/2015\/10\/Ball-Bounce-300x276.jpg 300w, https:\/\/www.parentfunction.net\/blog\/wp-content\/uploads\/2015\/10\/Ball-Bounce.jpg 396w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/a><\/p>\n<h3>Analysis<\/h3>\n<p>An example of one student&#8217;s data collection.<\/p>\n<div id=\"attachment_79\" style=\"width: 310px\" class=\"wp-caption alignnone\"><a href=\"http:\/\/www.parentfunction.net\/blog\/wp-content\/uploads\/2015\/08\/Bounce-Data.jpg\"><img loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-79\" class=\"wp-image-79 size-medium\" src=\"http:\/\/www.parentfunction.net\/blog\/wp-content\/uploads\/2015\/08\/Bounce-Data-300x225.jpg\" alt=\"Bounce Data\" width=\"300\" height=\"225\" srcset=\"https:\/\/www.parentfunction.net\/blog\/wp-content\/uploads\/2015\/08\/Bounce-Data-300x225.jpg 300w, https:\/\/www.parentfunction.net\/blog\/wp-content\/uploads\/2015\/08\/Bounce-Data.jpg 480w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/a><p id=\"caption-attachment-79\" class=\"wp-caption-text\">Positive vs Time Graph<\/p><\/div>\n<p>Students chose one bounce to model.\u00a0 They selected the bounce and struck the outside data.<\/p>\n<div id=\"attachment_80\" style=\"width: 310px\" class=\"wp-caption alignnone\"><a href=\"http:\/\/www.parentfunction.net\/blog\/wp-content\/uploads\/2015\/08\/One-Bounce.jpg\"><img loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-80\" class=\"wp-image-80 size-medium\" src=\"http:\/\/www.parentfunction.net\/blog\/wp-content\/uploads\/2015\/08\/One-Bounce-300x225.jpg\" alt=\"One Bounce\" width=\"300\" height=\"225\" srcset=\"https:\/\/www.parentfunction.net\/blog\/wp-content\/uploads\/2015\/08\/One-Bounce-300x225.jpg 300w, https:\/\/www.parentfunction.net\/blog\/wp-content\/uploads\/2015\/08\/One-Bounce.jpg 480w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/a><p id=\"caption-attachment-80\" class=\"wp-caption-text\">One Bounce<\/p><\/div>\n<p>Then they sent the data to a Data &amp; Statistic page to analyze the bounce.<\/p>\n<div id=\"attachment_83\" style=\"width: 310px\" class=\"wp-caption alignnone\"><a href=\"http:\/\/www.parentfunction.net\/blog\/wp-content\/uploads\/2015\/10\/Scatterplot.jpg\"><img loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-83\" class=\"size-medium wp-image-83\" src=\"http:\/\/www.parentfunction.net\/blog\/wp-content\/uploads\/2015\/10\/Scatterplot-300x225.jpg\" alt=\"Scatterplot of One Bounce\" width=\"300\" height=\"225\" srcset=\"https:\/\/www.parentfunction.net\/blog\/wp-content\/uploads\/2015\/10\/Scatterplot-300x225.jpg 300w, https:\/\/www.parentfunction.net\/blog\/wp-content\/uploads\/2015\/10\/Scatterplot.jpg 480w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/a><p id=\"caption-attachment-83\" class=\"wp-caption-text\">Scatterplot of One Bounce<\/p><\/div>\n<p>They traced along the scatterplot to find the coordinates of the vertex.\u00a0 They used the coordinates of the vertex to plot a function in vertex form.\u00a0 Students had to change the value of <em>a<\/em> until they found the best fit for their data.<\/p>\n<div id=\"attachment_82\" style=\"width: 310px\" class=\"wp-caption alignnone\"><a href=\"http:\/\/www.parentfunction.net\/blog\/wp-content\/uploads\/2015\/08\/Scatterplot-Vertex-Form.jpg\"><img loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-82\" class=\"wp-image-82 size-medium\" src=\"http:\/\/www.parentfunction.net\/blog\/wp-content\/uploads\/2015\/08\/Scatterplot-Vertex-Form-300x225.jpg\" alt=\"Scatterplot Vertex Form\" width=\"300\" height=\"225\" srcset=\"https:\/\/www.parentfunction.net\/blog\/wp-content\/uploads\/2015\/08\/Scatterplot-Vertex-Form-300x225.jpg 300w, https:\/\/www.parentfunction.net\/blog\/wp-content\/uploads\/2015\/08\/Scatterplot-Vertex-Form.jpg 480w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/a><p id=\"caption-attachment-82\" class=\"wp-caption-text\">Vertex Form<\/p><\/div>\n<p>Then they expanded the vertex form to get the equation in standard form.\u00a0 This student&#8217;s equation was <img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-84\" src=\"http:\/\/www.parentfunction.net\/blog\/wp-content\/uploads\/2015\/10\/Vertex-to-Standard-Form.jpg\" alt=\"Vertex to Standard Form\" width=\"173\" height=\"24\" \/>.<\/p>\n<p>Next they had the calculator find the quadratic regression for their bounce.<\/p>\n<div id=\"attachment_81\" style=\"width: 310px\" class=\"wp-caption alignnone\"><a href=\"http:\/\/www.parentfunction.net\/blog\/wp-content\/uploads\/2015\/08\/Scatterplot-Regression.jpg\"><img loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-81\" class=\"wp-image-81 size-medium\" src=\"http:\/\/www.parentfunction.net\/blog\/wp-content\/uploads\/2015\/08\/Scatterplot-Regression-300x225.jpg\" alt=\"Scatterplot Regression\" width=\"300\" height=\"225\" srcset=\"https:\/\/www.parentfunction.net\/blog\/wp-content\/uploads\/2015\/08\/Scatterplot-Regression-300x225.jpg 300w, https:\/\/www.parentfunction.net\/blog\/wp-content\/uploads\/2015\/08\/Scatterplot-Regression.jpg 480w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/a><p id=\"caption-attachment-81\" class=\"wp-caption-text\">Quadratic Regression<\/p><\/div>\n<p>Students compared the expanded vertex form equation to the standard form from the regression.\u00a0 They found that the vertex form equation they had plotted was very similar to the standard form equation from the regression.<\/p>\n<p>Students answered the questions on the record sheet.<\/p>\n<p><a href=\"http:\/\/www.parentfunction.net\/blog\/wp-content\/uploads\/2015\/08\/Thats-the-Way-the-Ball-Bounces-Record-Sheet.docx\" target=\"_blank\">That&#8217;s the Way the Ball Bounces Record Sheet<\/a><\/p>\n<h3>Conclusion<\/h3>\n<p>More than one student commented, &#8220;That was fun.&#8221;<\/p>\n<p>Some of the juniors mentioned that they wished the had the TI-Nspire in Physics class.\u00a0 They had recently done an experiment using the TI-84s with the motion detector to see how long it takes objects of differing masses to hit the ground.\u00a0 They commented that it was easier to use the motion detector with the TI-Nspire.<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>On Friday, as part of my Innovative Teaching Grant from the Pearland ISD Education Foundation, my students completed their second data collection lab. Objectives Record height versus time data for a bouncing ball. Model a single bounce using both the vertex and standard forms of a parabola. Procedure That&#8217;s the Way the Ball Bounces Instructions [&hellip;]<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[5,9,2],"tags":[10,7],"class_list":["post-74","post","type-post","status-publish","format-standard","hentry","category-calculator","category-grant","category-papa2","tag-data-collection","tag-regression"],"_links":{"self":[{"href":"https:\/\/www.parentfunction.net\/blog\/wp-json\/wp\/v2\/posts\/74"}],"collection":[{"href":"https:\/\/www.parentfunction.net\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.parentfunction.net\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.parentfunction.net\/blog\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.parentfunction.net\/blog\/wp-json\/wp\/v2\/comments?post=74"}],"version-history":[{"count":10,"href":"https:\/\/www.parentfunction.net\/blog\/wp-json\/wp\/v2\/posts\/74\/revisions"}],"predecessor-version":[{"id":132,"href":"https:\/\/www.parentfunction.net\/blog\/wp-json\/wp\/v2\/posts\/74\/revisions\/132"}],"wp:attachment":[{"href":"https:\/\/www.parentfunction.net\/blog\/wp-json\/wp\/v2\/media?parent=74"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.parentfunction.net\/blog\/wp-json\/wp\/v2\/categories?post=74"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.parentfunction.net\/blog\/wp-json\/wp\/v2\/tags?post=74"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}