{"id":1263,"date":"2016-06-08T10:30:15","date_gmt":"2016-06-08T14:30:15","guid":{"rendered":"http:\/\/willistonblogs.com\/math\/?p=1263"},"modified":"2016-06-08T10:30:15","modified_gmt":"2016-06-08T14:30:15","slug":"constructing-ellipses","status":"publish","type":"post","link":"https:\/\/willistonblogs.com\/math\/constructing-ellipses\/","title":{"rendered":"Constructing Ellipses"},"content":{"rendered":"<p>This just in from <a href=\"http:\/\/willistonblogs.com\/math\/contact\/#libby\">Ms. Anderson<\/a>:<\/p>\n<blockquote><p>My Honors Precalculus class doing an exploration on how the eccentricity of an ellipse affects its shape. As they explored different ellipses with the same \u2018a\u2019 value, and determined that an ellipse with an eccentricity closer to 0 looks more like a circle, they had to analyze why that was the case by looking at the value of b as c approached zero.<\/p><\/blockquote>\n<p>You can try the activity yourself using <a href=\"http:\/\/willistonblogs.com\/math\/files\/2016\/06\/constructing-ellipses-to-explore-eccentricity.pdf\">this handout<\/a>!<\/p>\n<div id='gallery-1' class='gallery galleryid-1263 gallery-columns-3 gallery-size-thumbnail'><figure class='gallery-item'>\n\t\t\t<div class='gallery-icon portrait'>\n\t\t\t\t<img loading=\"lazy\" decoding=\"async\" width=\"150\" height=\"150\" src=\"https:\/\/willistonblogs.com\/math\/files\/2016\/06\/Screen-Shot-2016-06-08-at-10.28.11-AM-150x150.png\" class=\"attachment-thumbnail size-thumbnail\" alt=\"\" \/>\n\t\t\t<\/div><\/figure><figure class='gallery-item'>\n\t\t\t<div class='gallery-icon portrait'>\n\t\t\t\t<img loading=\"lazy\" decoding=\"async\" width=\"150\" height=\"150\" src=\"https:\/\/willistonblogs.com\/math\/files\/2016\/06\/Screen-Shot-2016-06-08-at-10.28.06-AM-150x150.png\" class=\"attachment-thumbnail size-thumbnail\" alt=\"\" \/>\n\t\t\t<\/div><\/figure><figure class='gallery-item'>\n\t\t\t<div class='gallery-icon portrait'>\n\t\t\t\t<img loading=\"lazy\" decoding=\"async\" width=\"150\" height=\"150\" src=\"https:\/\/willistonblogs.com\/math\/files\/2016\/06\/Screen-Shot-2016-06-08-at-10.28.01-AM-150x150.png\" class=\"attachment-thumbnail size-thumbnail\" alt=\"\" \/>\n\t\t\t<\/div><\/figure><figure class='gallery-item'>\n\t\t\t<div class='gallery-icon landscape'>\n\t\t\t\t<img loading=\"lazy\" decoding=\"async\" width=\"150\" height=\"150\" src=\"https:\/\/willistonblogs.com\/math\/files\/2016\/06\/Screen-Shot-2016-06-08-at-10.27.57-AM-150x150.png\" class=\"attachment-thumbnail size-thumbnail\" alt=\"\" \/>\n\t\t\t<\/div><\/figure><figure class='gallery-item'>\n\t\t\t<div class='gallery-icon portrait'>\n\t\t\t\t<img loading=\"lazy\" decoding=\"async\" width=\"150\" height=\"150\" src=\"https:\/\/willistonblogs.com\/math\/files\/2016\/06\/Screen-Shot-2016-06-08-at-10.27.52-AM-150x150.png\" class=\"attachment-thumbnail size-thumbnail\" alt=\"\" srcset=\"https:\/\/willistonblogs.com\/math\/files\/2016\/06\/Screen-Shot-2016-06-08-at-10.27.52-AM-150x150.png 150w, https:\/\/willistonblogs.com\/math\/files\/2016\/06\/Screen-Shot-2016-06-08-at-10.27.52-AM-300x300.png 300w, https:\/\/willistonblogs.com\/math\/files\/2016\/06\/Screen-Shot-2016-06-08-at-10.27.52-AM-250x250.png 250w, https:\/\/willistonblogs.com\/math\/files\/2016\/06\/Screen-Shot-2016-06-08-at-10.27.52-AM.png 426w\" sizes=\"(max-width: 150px) 100vw, 150px\" \/>\n\t\t\t<\/div><\/figure><figure class='gallery-item'>\n\t\t\t<div class='gallery-icon landscape'>\n\t\t\t\t<img loading=\"lazy\" decoding=\"async\" width=\"150\" height=\"150\" src=\"https:\/\/willistonblogs.com\/math\/files\/2016\/06\/Screen-Shot-2016-06-08-at-10.27.46-AM-150x150.png\" class=\"attachment-thumbnail size-thumbnail\" alt=\"\" \/>\n\t\t\t<\/div><\/figure><figure class='gallery-item'>\n\t\t\t<div class='gallery-icon landscape'>\n\t\t\t\t<img loading=\"lazy\" decoding=\"async\" width=\"150\" height=\"150\" src=\"https:\/\/willistonblogs.com\/math\/files\/2016\/06\/Screen-Shot-2016-06-08-at-10.27.42-AM-150x150.png\" class=\"attachment-thumbnail size-thumbnail\" alt=\"\" \/>\n\t\t\t<\/div><\/figure><figure class='gallery-item'>\n\t\t\t<div class='gallery-icon landscape'>\n\t\t\t\t<img loading=\"lazy\" decoding=\"async\" width=\"150\" height=\"150\" src=\"https:\/\/willistonblogs.com\/math\/files\/2016\/06\/Screen-Shot-2016-06-08-at-10.27.38-AM-150x150.png\" class=\"attachment-thumbnail size-thumbnail\" alt=\"\" \/>\n\t\t\t<\/div><\/figure><figure class='gallery-item'>\n\t\t\t<div class='gallery-icon landscape'>\n\t\t\t\t<img loading=\"lazy\" decoding=\"async\" width=\"150\" height=\"150\" src=\"https:\/\/willistonblogs.com\/math\/files\/2016\/06\/Screen-Shot-2016-06-08-at-10.27.32-AM-150x150.png\" class=\"attachment-thumbnail size-thumbnail\" alt=\"\" \/>\n\t\t\t<\/div><\/figure>\n\t\t<\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>This just in from Ms. Anderson: My Honors Precalculus class doing an exploration on how the eccentricity of an ellipse affects its shape. As they explored different ellipses with the same \u2018a\u2019 value, and determined that an ellipse with an eccentricity closer to 0 looks more like a circle, they had to analyze why that &hellip; <a href=\"https:\/\/willistonblogs.com\/math\/constructing-ellipses\/\" class=\"more-link\">Continue reading <span class=\"screen-reader-text\">Constructing Ellipses<\/span> <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":53,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_exactmetrics_skip_tracking":false,"_exactmetrics_sitenote_active":false,"_exactmetrics_sitenote_note":"","_exactmetrics_sitenote_category":0,"_s2mail":"yes","jetpack_post_was_ever_published":false,"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_memberships_contains_paid_content":false,"footnotes":"","jetpack_publicize_message":"","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":true,"jetpack_social_options":{"image_generator_settings":{"template":"highway","enabled":false},"version":2}},"categories":[236],"tags":[237],"class_list":["post-1263","post","type-post","status-publish","format-standard","hentry","category-precalculus","tag-ellipses"],"jetpack_publicize_connections":[],"aioseo_notices":[],"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"jetpack_shortlink":"https:\/\/wp.me\/p4GnmO-kn","_links":{"self":[{"href":"https:\/\/willistonblogs.com\/math\/wp-json\/wp\/v2\/posts\/1263"}],"collection":[{"href":"https:\/\/willistonblogs.com\/math\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/willistonblogs.com\/math\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/willistonblogs.com\/math\/wp-json\/wp\/v2\/users\/53"}],"replies":[{"embeddable":true,"href":"https:\/\/willistonblogs.com\/math\/wp-json\/wp\/v2\/comments?post=1263"}],"version-history":[{"count":1,"href":"https:\/\/willistonblogs.com\/math\/wp-json\/wp\/v2\/posts\/1263\/revisions"}],"predecessor-version":[{"id":1283,"href":"https:\/\/willistonblogs.com\/math\/wp-json\/wp\/v2\/posts\/1263\/revisions\/1283"}],"wp:attachment":[{"href":"https:\/\/willistonblogs.com\/math\/wp-json\/wp\/v2\/media?parent=1263"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/willistonblogs.com\/math\/wp-json\/wp\/v2\/categories?post=1263"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/willistonblogs.com\/math\/wp-json\/wp\/v2\/tags?post=1263"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}