{"id":142,"date":"2016-02-19T15:48:29","date_gmt":"2016-02-19T21:48:29","guid":{"rendered":"http:\/\/www.parentfunction.net\/blog\/?p=142"},"modified":"2017-01-18T20:36:00","modified_gmt":"2017-01-19T02:36:00","slug":"data-collection-exponential-part-2","status":"publish","type":"post","link":"https:\/\/www.parentfunction.net\/blog\/2016\/02\/19\/data-collection-exponential-part-2\/","title":{"rendered":"Data Collection &#8211; Exponential Part 2"},"content":{"rendered":"<p><strong>Objectives<\/strong><\/p>\n<ul>\n<li>Record the successive maximum heights for a bouncing ball.<\/li>\n<li>Model the bounce height data with an exponential function.<\/li>\n<\/ul>\n<p><strong>Procedure<\/strong><\/p>\n<p><a href=\"http:\/\/www.parentfunction.net\/blog\/wp-content\/uploads\/2016\/02\/Bounce-Back.pdf\">Bounce Back<\/a><\/p>\n<p>Groups of three students used a motion detector to collect the height of a bouncing ball for 5 seconds.<\/p>\n<div id=\"attachment_140\" style=\"width: 166px\" class=\"wp-caption alignnone\"><a href=\"http:\/\/www.parentfunction.net\/blog\/ready-to-bounce\/\" rel=\"attachment wp-att-140\"><img loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-140\" class=\"wp-image-140 size-medium\" src=\"http:\/\/www.parentfunction.net\/blog\/wp-content\/uploads\/2016\/02\/Ready-to-Bounce-156x300.jpg\" alt=\"Ready to Bounce\" width=\"156\" height=\"300\" srcset=\"https:\/\/www.parentfunction.net\/blog\/wp-content\/uploads\/2016\/02\/Ready-to-Bounce-156x300.jpg 156w, https:\/\/www.parentfunction.net\/blog\/wp-content\/uploads\/2016\/02\/Ready-to-Bounce-768x1476.jpg 768w, https:\/\/www.parentfunction.net\/blog\/wp-content\/uploads\/2016\/02\/Ready-to-Bounce-533x1024.jpg 533w, https:\/\/www.parentfunction.net\/blog\/wp-content\/uploads\/2016\/02\/Ready-to-Bounce-624x1199.jpg 624w, https:\/\/www.parentfunction.net\/blog\/wp-content\/uploads\/2016\/02\/Ready-to-Bounce.jpg 1339w\" sizes=\"(max-width: 156px) 100vw, 156px\" \/><\/a><p id=\"caption-attachment-140\" class=\"wp-caption-text\">Ready to Bounce<\/p><\/div>\n<div id=\"attachment_139\" style=\"width: 213px\" class=\"wp-caption alignnone\"><a href=\"http:\/\/www.parentfunction.net\/blog\/bouncing-ball\/\" rel=\"attachment wp-att-139\"><img loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-139\" class=\"wp-image-139 size-medium\" src=\"http:\/\/www.parentfunction.net\/blog\/wp-content\/uploads\/2016\/02\/Bouncing-Ball-203x300.jpg\" alt=\"Bouncing Ball\" width=\"203\" height=\"300\" srcset=\"https:\/\/www.parentfunction.net\/blog\/wp-content\/uploads\/2016\/02\/Bouncing-Ball-203x300.jpg 203w, https:\/\/www.parentfunction.net\/blog\/wp-content\/uploads\/2016\/02\/Bouncing-Ball-768x1135.jpg 768w, https:\/\/www.parentfunction.net\/blog\/wp-content\/uploads\/2016\/02\/Bouncing-Ball-693x1024.jpg 693w, https:\/\/www.parentfunction.net\/blog\/wp-content\/uploads\/2016\/02\/Bouncing-Ball-624x922.jpg 624w, https:\/\/www.parentfunction.net\/blog\/wp-content\/uploads\/2016\/02\/Bouncing-Ball.jpg 1337w\" sizes=\"(max-width: 203px) 100vw, 203px\" \/><\/a><p id=\"caption-attachment-139\" class=\"wp-caption-text\">Bouncing Ball<\/p><\/div>\n<p><strong>Analysis<br \/>\n<\/strong><\/p>\n<p>An example of one group\u2019s data collection.<\/p>\n<div id=\"attachment_138\" style=\"width: 310px\" class=\"wp-caption alignnone\"><a href=\"http:\/\/www.parentfunction.net\/blog\/bounce-height-data-quest\/\" rel=\"attachment wp-att-138\"><img loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-138\" class=\"wp-image-138 size-medium\" src=\"http:\/\/www.parentfunction.net\/blog\/wp-content\/uploads\/2016\/02\/Bounce-Height-Data-Quest-300x225.jpg\" alt=\"Bounce Height Data Quest\" width=\"300\" height=\"225\" srcset=\"https:\/\/www.parentfunction.net\/blog\/wp-content\/uploads\/2016\/02\/Bounce-Height-Data-Quest-300x225.jpg 300w, https:\/\/www.parentfunction.net\/blog\/wp-content\/uploads\/2016\/02\/Bounce-Height-Data-Quest.jpg 480w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/a><p id=\"caption-attachment-138\" class=\"wp-caption-text\">Height vs Time Graph<\/p><\/div>\n<p>Students determined the maximum height of five successive bounces.\u00a0 They put the data in a List &amp; Spreadsheets Page.<\/p>\n<p><a href=\"http:\/\/www.parentfunction.net\/blog\/bounce-height-data-1\/\" rel=\"attachment wp-att-136\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-medium wp-image-136\" src=\"http:\/\/www.parentfunction.net\/blog\/wp-content\/uploads\/2016\/02\/Bounce-Height-Data-1-300x225.jpg\" alt=\"Bounce Height Data 1\" width=\"300\" height=\"225\" srcset=\"https:\/\/www.parentfunction.net\/blog\/wp-content\/uploads\/2016\/02\/Bounce-Height-Data-1-300x225.jpg 300w, https:\/\/www.parentfunction.net\/blog\/wp-content\/uploads\/2016\/02\/Bounce-Height-Data-1.jpg 480w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/a> <a href=\"http:\/\/www.parentfunction.net\/blog\/bounce-height-data-2\/\" rel=\"attachment wp-att-137\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-medium wp-image-137\" src=\"http:\/\/www.parentfunction.net\/blog\/wp-content\/uploads\/2016\/02\/Bounce-Height-Data-2-300x225.jpg\" alt=\"Bounce Height Data 2\" width=\"300\" height=\"225\" srcset=\"https:\/\/www.parentfunction.net\/blog\/wp-content\/uploads\/2016\/02\/Bounce-Height-Data-2-300x225.jpg 300w, https:\/\/www.parentfunction.net\/blog\/wp-content\/uploads\/2016\/02\/Bounce-Height-Data-2.jpg 480w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/a><\/p>\n<p>The data for the first and fourth bounce was used to mathematically determine an exponential model that would fit the data.\u00a0 They plotted their data and model on a Data &amp; Statistics Page.<\/p>\n<div id=\"attachment_133\" style=\"width: 310px\" class=\"wp-caption alignnone\"><a href=\"http:\/\/www.parentfunction.net\/blog\/bounce-back-exponential\/\" rel=\"attachment wp-att-133\"><img loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-133\" class=\"wp-image-133 size-medium\" src=\"http:\/\/www.parentfunction.net\/blog\/wp-content\/uploads\/2016\/02\/Bounce-Back-Exponential-300x225.jpg\" alt=\"Bounce Back Exponential\" width=\"300\" height=\"225\" srcset=\"https:\/\/www.parentfunction.net\/blog\/wp-content\/uploads\/2016\/02\/Bounce-Back-Exponential-300x225.jpg 300w, https:\/\/www.parentfunction.net\/blog\/wp-content\/uploads\/2016\/02\/Bounce-Back-Exponential.jpg 480w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/a><p id=\"caption-attachment-133\" class=\"wp-caption-text\">Calculated Model<\/p><\/div>\n<p>Then they had the calculator find the exponential regression for their data.<\/p>\n<div id=\"attachment_134\" style=\"width: 310px\" class=\"wp-caption alignnone\"><a href=\"http:\/\/www.parentfunction.net\/blog\/bounce-back-regression\/\" rel=\"attachment wp-att-134\"><img loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-134\" class=\"wp-image-134 size-medium\" src=\"http:\/\/www.parentfunction.net\/blog\/wp-content\/uploads\/2016\/02\/Bounce-Back-Regression-300x225.jpg\" alt=\"Bounce Back Regression\" width=\"300\" height=\"225\" srcset=\"https:\/\/www.parentfunction.net\/blog\/wp-content\/uploads\/2016\/02\/Bounce-Back-Regression-300x225.jpg 300w, https:\/\/www.parentfunction.net\/blog\/wp-content\/uploads\/2016\/02\/Bounce-Back-Regression.jpg 480w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/a><p id=\"caption-attachment-134\" class=\"wp-caption-text\">Exponential Regression<\/p><\/div>\n<p><strong>Results<\/strong><\/p>\n<p>Most groups found their model and the exponential regression to be very similar.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Objectives Record the successive maximum heights for a bouncing ball. Model the bounce height data with an exponential function. Procedure Bounce Back Groups of three students used a motion detector to collect the height of a bouncing ball for 5 seconds. Analysis An example of one group\u2019s data collection. Students determined the maximum height of [&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-142","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\/142"}],"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=142"}],"version-history":[{"count":4,"href":"https:\/\/www.parentfunction.net\/blog\/wp-json\/wp\/v2\/posts\/142\/revisions"}],"predecessor-version":[{"id":271,"href":"https:\/\/www.parentfunction.net\/blog\/wp-json\/wp\/v2\/posts\/142\/revisions\/271"}],"wp:attachment":[{"href":"https:\/\/www.parentfunction.net\/blog\/wp-json\/wp\/v2\/media?parent=142"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.parentfunction.net\/blog\/wp-json\/wp\/v2\/categories?post=142"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.parentfunction.net\/blog\/wp-json\/wp\/v2\/tags?post=142"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}