{"id":2340,"date":"2023-09-22T11:18:31","date_gmt":"2023-09-22T18:18:31","guid":{"rendered":"http:\/\/www.hillbrook.us\/voices\/?p=2340"},"modified":"2023-09-22T11:18:32","modified_gmt":"2023-09-22T18:18:32","slug":"esti-mysteries-in-4th-grade-math","status":"publish","type":"post","link":"http:\/\/www.hillbrook.us\/voices\/2023\/09\/esti-mysteries-in-4th-grade-math\/","title":{"rendered":"Esti-mysteries in 4th Grade Math"},"content":{"rendered":"\n<p>&#8220;YES! Esti-mystery! You can play too. You have to guess how many there are. Then you get 4 clues and then you find out.\u201d <\/p>\n\n\n\n<p>This week, 4th grade mathematicians were excited to share a warm-up routine that challenges players to look at a photo, form an estimation range, select a single estimate, then refine their answer with new information. The photo Wednesday was of tiny globe keychains filling a tall drinking glass\u2014how many are there? Students cautioned me not to make my range too big (or else it would be like cheating). <\/p>\n\n\n\n<p>After each writing our first estimate and a range we thought was probable, we learned clues like <em>the answer is a number in this pattern: 51,54,57,60<\/em>\u2026&#8221; And, <em>the answer is an odd number.<\/em> With each of the four new clues, players update their estimate using the new information in their math journals, but without erasing any prior thinking. As one student noted, &#8220;I picked 63 because it&#8217;s kind of in between there.&#8221; <\/p>\n\n\n\n<p>After the last clue, we listed around the room possible final answers we had selected, then students were asked to name if any of these final guesses was not a possible solution. Their teacher reminded them, &#8220;If you want to eliminate an answer, you have to say why.&#8221; <\/p>\n\n\n\n<p>One student noted, \u201cOnly two of those work with all the rules. It can&#8217;t be 79 because there&#8217;s 78 there [if you follow the pattern] but you&#8217;d have to add 1 to get 79, not three.\u201d Another summarized a divisibility rule they had discovered the week prior about multiples of three. <\/p>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p>Cheers and \u201cawws\u201d resounded as we discovered the answer. <\/p>\n<\/blockquote>\n\n\n\n<p>As they study factors and multiples, daily warm-ups prime students\u2019 math thinking and engage them in authentic practice of many of the <a href=\"https:\/\/docs.google.com\/document\/d\/133pks9i64s2Gf2KuKUG-xGhqbfhlLxyRBPqqbtYyZgE\/preview#bookmark=id.h1hd9qz44hxl\">Math Process Skills<\/a> they will build throughout their JK-12 trajectory. Skills like critiquing your own and others\u2019 reasoning, making your thinking visible, and looking for patterns all underpin this game, and build a mindset that math is for everyone, is fun, and can be accessed by reasoning skills which we all can practice!<\/p>\n","protected":false},"excerpt":{"rendered":"<p>&#8220;YES! Esti-mystery! You can play too. You have to guess how many there are. Then you get 4 clues and then you find out.\u201d This &hellip;<\/p>\n","protected":false},"author":6,"featured_media":2341,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"nf_dc_page":"","content-type":"","_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[242,20,205],"tags":[],"class_list":["post-2340","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-curriculum-connections","category-lower-school","category-mathematics"],"jetpack_sharing_enabled":true,"jetpack_featured_media_url":"https:\/\/i0.wp.com\/www.hillbrook.us\/voices\/wp-content\/uploads\/2023\/09\/predictions-and-epimysteries-in-4th-grade.jpg?fit=612%2C459","_links":{"self":[{"href":"http:\/\/www.hillbrook.us\/voices\/wp-json\/wp\/v2\/posts\/2340","targetHints":{"allow":["GET"]}}],"collection":[{"href":"http:\/\/www.hillbrook.us\/voices\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/www.hillbrook.us\/voices\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/www.hillbrook.us\/voices\/wp-json\/wp\/v2\/users\/6"}],"replies":[{"embeddable":true,"href":"http:\/\/www.hillbrook.us\/voices\/wp-json\/wp\/v2\/comments?post=2340"}],"version-history":[{"count":1,"href":"http:\/\/www.hillbrook.us\/voices\/wp-json\/wp\/v2\/posts\/2340\/revisions"}],"predecessor-version":[{"id":2342,"href":"http:\/\/www.hillbrook.us\/voices\/wp-json\/wp\/v2\/posts\/2340\/revisions\/2342"}],"wp:featuredmedia":[{"embeddable":true,"href":"http:\/\/www.hillbrook.us\/voices\/wp-json\/wp\/v2\/media\/2341"}],"wp:attachment":[{"href":"http:\/\/www.hillbrook.us\/voices\/wp-json\/wp\/v2\/media?parent=2340"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/www.hillbrook.us\/voices\/wp-json\/wp\/v2\/categories?post=2340"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/www.hillbrook.us\/voices\/wp-json\/wp\/v2\/tags?post=2340"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}