{"id":624,"date":"2017-07-02T13:09:44","date_gmt":"2017-07-02T17:09:44","guid":{"rendered":"http:\/\/sites.miamioh.edu\/edt222-2017\/?p=624"},"modified":"2018-05-24T22:12:47","modified_gmt":"2018-05-25T02:12:47","slug":"cooperative-learning-knurek","status":"publish","type":"post","link":"https:\/\/sites.miamioh.edu\/edt222-2017\/2017\/07\/cooperative-learning-knurek\/","title":{"rendered":"Cooperative Learning &#8211; Knurek"},"content":{"rendered":"<p><strong><u>Team-Building Lesson: \u201cIf You Build It\u2026\u201d<\/u><\/strong><\/p>\n<p><u>Gumdrop and Toothpick Bridges<\/u><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-medium wp-image-625\" src=\"http:\/\/sites.miamioh.edu\/edt222-2017\/files\/2017\/07\/Screen-Shot-2017-07-02-at-12.49.06-PM-300x254.png\" alt=\"\" width=\"300\" height=\"254\" srcset=\"https:\/\/sites.miamioh.edu\/edt222-2017\/files\/2017\/07\/Screen-Shot-2017-07-02-at-12.49.06-PM-300x254.png 300w, https:\/\/sites.miamioh.edu\/edt222-2017\/files\/2017\/07\/Screen-Shot-2017-07-02-at-12.49.06-PM.png 357w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/p>\n<p><strong>Standards:<\/strong><\/p>\n<ul>\n<li><strong>8.F.4:<\/strong> Construct a function to model a linear relationship between two quantities. Determine the rate of change and initial value of the function from a description of a relationship or from two (x, y) values, including reading these from a table or from a graph. Interpret the rate of change and initial value of a linear function in terms of the situation it models, and in terms of its graph or a table of values.<\/li>\n<\/ul>\n<p><strong>Objectives:<\/strong><\/p>\n<ul>\n<li>Students will be able to work cooperatively with group members to achieve a common goal.<\/li>\n<li>Students will be able to share ideas with their group members.<\/li>\n<li>Students will be able to write algebraic expressions to model real-world situations.<\/li>\n<\/ul>\n<p><strong>Materials:<\/strong><\/p>\n<ul>\n<li>Bag of gumdrops (they can get more from the teacher if they need it)<\/li>\n<li>Bag of toothpicks (they can get more from the teacher if they need it)<\/li>\n<li>Two solo cups (placed upside down, exactly 12 inches apart<\/li>\n<\/ul>\n<p><strong>Task #1:<\/strong> Students are to create a bridge from one top of the cup to the other out of the toothpicks and gumdrops. (See image above) They can use any method of construction that they\u2019d like. However, the bridge must only consist of toothpicks and gumdrops.<\/p>\n<p><strong>Class Discussion #1:<\/strong> As groups are starting to complete the bridges, the teacher will bring the class into a discussion on strategies that are being used around the room. Groups will share their \u2018methods\u2019 for constructing their bridges. This conversation can take place before any groups have finished. This will allow teams to re-think their construction methods if necessary.<\/p>\n<p><strong>Task #2:<\/strong> Once groups are finished, they will count the number of toothpicks and the number of gumdrops that they used. Now students will be tasked with building a new bridge that uses less material. Teams will compete to build a bridge using the fewest materials.<\/p>\n<p><strong>Task #3: <\/strong>Once teams have finished the previous task, they will be challenged with writing algebraic expressions to represent the following pictures (there will be more than just the pictures shown below). The teacher will circulate the room and guide teams that are struggling to make the connection.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-626\" src=\"http:\/\/sites.miamioh.edu\/edt222-2017\/files\/2017\/07\/Screen-Shot-2017-07-02-at-12.49.13-PM-300x149.png\" alt=\"\" width=\"248\" height=\"123\" srcset=\"https:\/\/sites.miamioh.edu\/edt222-2017\/files\/2017\/07\/Screen-Shot-2017-07-02-at-12.49.13-PM-300x149.png 300w, https:\/\/sites.miamioh.edu\/edt222-2017\/files\/2017\/07\/Screen-Shot-2017-07-02-at-12.49.13-PM.png 512w\" sizes=\"auto, (max-width: 248px) 100vw, 248px\" \/>\u00a0 \u00a0<img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-629\" src=\"http:\/\/sites.miamioh.edu\/edt222-2017\/files\/2017\/07\/Screen-Shot-2017-07-02-at-12.49.48-PM-300x88.png\" alt=\"\" width=\"348\" height=\"102\" srcset=\"https:\/\/sites.miamioh.edu\/edt222-2017\/files\/2017\/07\/Screen-Shot-2017-07-02-at-12.49.48-PM-300x88.png 300w, https:\/\/sites.miamioh.edu\/edt222-2017\/files\/2017\/07\/Screen-Shot-2017-07-02-at-12.49.48-PM-768x225.png 768w, https:\/\/sites.miamioh.edu\/edt222-2017\/files\/2017\/07\/Screen-Shot-2017-07-02-at-12.49.48-PM.png 961w\" sizes=\"auto, (max-width: 348px) 100vw, 348px\" \/><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-medium wp-image-627\" src=\"http:\/\/sites.miamioh.edu\/edt222-2017\/files\/2017\/07\/Screen-Shot-2017-07-02-at-12.49.29-PM-300x165.png\" alt=\"\" width=\"300\" height=\"165\" srcset=\"https:\/\/sites.miamioh.edu\/edt222-2017\/files\/2017\/07\/Screen-Shot-2017-07-02-at-12.49.29-PM-300x165.png 300w, https:\/\/sites.miamioh.edu\/edt222-2017\/files\/2017\/07\/Screen-Shot-2017-07-02-at-12.49.29-PM-768x422.png 768w, https:\/\/sites.miamioh.edu\/edt222-2017\/files\/2017\/07\/Screen-Shot-2017-07-02-at-12.49.29-PM.png 873w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/>\u00a0 \u00a0<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-medium wp-image-628\" src=\"http:\/\/sites.miamioh.edu\/edt222-2017\/files\/2017\/07\/Screen-Shot-2017-07-02-at-12.49.37-PM-300x275.png\" alt=\"\" width=\"300\" height=\"275\" srcset=\"https:\/\/sites.miamioh.edu\/edt222-2017\/files\/2017\/07\/Screen-Shot-2017-07-02-at-12.49.37-PM-300x275.png 300w, https:\/\/sites.miamioh.edu\/edt222-2017\/files\/2017\/07\/Screen-Shot-2017-07-02-at-12.49.37-PM.png 507w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/p>\n<p><strong>Class Discussion #2:<\/strong> The teacher will lead a full-class discussion over the algebraic expressions that teams came up with to represent the pictures above.<\/p>\n<p><strong>Resources\/Media:<\/strong><\/p>\n<ul>\n<li><a href=\"https:\/\/www.montville.net\/cms\/lib\/NJ01001247\/Centricity\/Domain\/259\/GumdropStructureInquiryChallenge%20-%20Copy.pdf\">Gumdrops\/Toothpicks<\/a><\/li>\n<li><a href=\"https:\/\/www.youtube.com\/watch?v=wsbdZGUxWx4\">Construction Video<\/a><\/li>\n<\/ul>\n<p>______________________________________________________________<\/p>\n<p><strong><u>Cooperative Learning Lesson: Guided Reciprocal Peer Questioning (modified with a Chalk Talk)<\/u><\/strong><\/p>\n<p><u>Pythagorean Theorem \u201c5 W\u2019s\u201d<\/u><\/p>\n<p>This lesson would take place after 2 or 3 days of working with the Pythagorean Theorem in class. By the time this lesson roles around, students know how to use the Pythagorean Theorem. Now, they will explore the value of the Pythagorean Theorem using both guided reciprocal peer questioning techniques and a chalk talk.<\/p>\n<p>This lesson will be centered around these \u2018Generic Question Stems\u2019, that follow a \u2018Who, What, When, Where, Why progression:<\/p>\n<ul>\n<li>\u201c<u>Who<\/u> uses the Pythagorean Theorem?\u201d<\/li>\n<li>\u201c<u>What<\/u> can we do with the Pythagorean Theorem?\u201d<\/li>\n<li>\u201c<u>When<\/u> is the Pythagorean Theorem useful?\u201d<\/li>\n<li>\u201c<u>Where<\/u> can we see the Pythagorean Theorem in the world around us?\u201d<\/li>\n<li>\u201c<u>Why<\/u> are we learning about the Pythagorean Theorem?\u201d<\/li>\n<\/ul>\n<p><strong>Standards:<\/strong><\/p>\n<ul>\n<li><strong>8.G.6:<\/strong> Explain a proof of the Pythagorean Theorem and its converse.<\/li>\n<li><strong>8.G.7:<\/strong> Apply the Pythagorean Theorem to determine unknown side lengths in right triangles in real-world and mathematical problems in two and three dimensions.<\/li>\n<li><strong>8.G.8:<\/strong>\u00a0Apply the Pythagorean Theorem to find the distance between two points in a coordinate system.<\/li>\n<\/ul>\n<p><strong>Objectives:<\/strong><\/p>\n<ul>\n<li>Students can identify parts of a right triangle.<\/li>\n<li>Students can use the Pythagorean Theorem to find missing sides of a right triangle.<\/li>\n<li>Students can use the inverse of the Pythagorean Theorem to prove whether or not a triangle is a right triangle.<\/li>\n<\/ul>\n<p><strong>Chalk Talk (Stations):<\/strong>\u00a0The teacher will write these 5 Generic Question Stems around the room on the boards. The teacher will them announce to the class that they will doing a chalk talk in groups (collaboratively, so people are allowed to talk!<\/p>\n<p>At each \u2018question\u2019, students will write ideas and thoughts stemming off of the generic question stem. Then, they will come up with some <strong>further questions<\/strong> that can be discussed and analyzed at a later time. Each group will have a certain amount of time at the question before rotating. Students are encouraged to create stems off of other students stems.<\/p>\n<p><strong>Class Discussion:<\/strong> The teacher will lead a full-class discussion over 5 questions. Students will spend the majority of time looking at the 5 completed chalk talks and discussing what is shown.<\/p>\n<p><strong>Resources\/Media:<\/strong><\/p>\n<ul>\n<li><a href=\"https:\/\/www.youtube.com\/watch?v=AhFjfCdG61Y\">Cartoon<\/a><\/li>\n<li><a href=\"https:\/\/twitter.com\/vuoso_emily\/status\/877356441564270592\">What A Station Chalk Talk Could Look Like<\/a><\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Team-Building Lesson: \u201cIf You Build It\u2026\u201d Gumdrop and Toothpick Bridges Standards: 8.F.4: Construct a function to model a linear relationship between two quantities. Determine the rate of change and initial value of the function from a description of a relationship &hellip; <a href=\"https:\/\/sites.miamioh.edu\/edt222-2017\/2017\/07\/cooperative-learning-knurek\/\">Continue reading <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":2104,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_bbp_topic_count":0,"_bbp_reply_count":0,"_bbp_total_topic_count":0,"_bbp_total_reply_count":0,"_bbp_voice_count":0,"_bbp_anonymous_reply_count":0,"_bbp_topic_count_hidden":0,"_bbp_reply_count_hidden":0,"_bbp_forum_subforum_count":0,"footnotes":""},"categories":[3],"tags":[115,63,135],"class_list":["post-624","post","type-post","status-publish","format-standard","hentry","category-coop","tag-cooperative-learning","tag-math","tag-teams"],"_links":{"self":[{"href":"https:\/\/sites.miamioh.edu\/edt222-2017\/wp-json\/wp\/v2\/posts\/624","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/sites.miamioh.edu\/edt222-2017\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/sites.miamioh.edu\/edt222-2017\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/sites.miamioh.edu\/edt222-2017\/wp-json\/wp\/v2\/users\/2104"}],"replies":[{"embeddable":true,"href":"https:\/\/sites.miamioh.edu\/edt222-2017\/wp-json\/wp\/v2\/comments?post=624"}],"version-history":[{"count":3,"href":"https:\/\/sites.miamioh.edu\/edt222-2017\/wp-json\/wp\/v2\/posts\/624\/revisions"}],"predecessor-version":[{"id":634,"href":"https:\/\/sites.miamioh.edu\/edt222-2017\/wp-json\/wp\/v2\/posts\/624\/revisions\/634"}],"wp:attachment":[{"href":"https:\/\/sites.miamioh.edu\/edt222-2017\/wp-json\/wp\/v2\/media?parent=624"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/sites.miamioh.edu\/edt222-2017\/wp-json\/wp\/v2\/categories?post=624"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/sites.miamioh.edu\/edt222-2017\/wp-json\/wp\/v2\/tags?post=624"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}