{"id":577,"date":"2017-06-29T21:09:14","date_gmt":"2017-06-30T01:09:14","guid":{"rendered":"http:\/\/sites.miamioh.edu\/edt222-2017\/?p=577"},"modified":"2018-05-24T22:12:47","modified_gmt":"2018-05-25T02:12:47","slug":"cooperative-learning-heller","status":"publish","type":"post","link":"https:\/\/sites.miamioh.edu\/edt222-2017\/2017\/06\/cooperative-learning-heller\/","title":{"rendered":"Cooperative Learning &#8211; Heller"},"content":{"rendered":"<p><strong>Team Building Activity:<\/strong><\/p>\n<p><span style=\"text-decoration: underline\">Set up:<\/span>\u00a0For this team building activity, students will be in small groups of 3 &#8211; 4 students.<\/p>\n<p><span style=\"text-decoration: underline\">Materials:\u00a0<\/span>Each group will receive a set of 3\u00a0sticks, 6 colored rings and the following prompt:<\/p>\n<table>\n<tbody>\n<tr>\n<td>Set up: arrange the sticks from left to right. On the leftmost stick, arrange the rings from largest to smallest with the largest ring on the bottom and smallest ring on the top.<\/p>\n<p>Tower of Hanoi: You must move all of the rings from the stick\u00a0on the left to the stick\u00a0on the right in the fewest number of moves. The rings should end up in the same order on the right stick\u00a0as they appear on the left stick\u00a0now. There are two rules:<\/p>\n<ol>\n<li>You can move only one ring at a time.<\/li>\n<li>You can never place a larger ring on top of a smaller ring.<\/li>\n<\/ol>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>This team building activity promotes communication and collaborative group work. Students must communicate with one another in order to be successful. Students need to work together to figure out how to get the rings to the third stick in the order they are currently in with the smallest number of moves. Students also need to be creative with their solutions to ensure that they have used the minimum number of moves possible to get all of the rings from the first stick to the last stick.<\/p>\n<p>If you haven\u2019t seen the problem before, check it out here: <a class=\"external\" href=\"https:\/\/www.coolmath-games.com\/0-tower-of-hanoi\" target=\"_blank\" rel=\"noreferrer\">Tower of Hanoi<\/a><\/p>\n<p><span style=\"text-decoration: underline\">Discussion:\u00a0<\/span>After teams have completed the activity, the class will participate in a discussion and address the following questions as a group:<\/p>\n<ul>\n<li>What strategies worked?<\/li>\n<li>What strategies didn&#8217;t work?<\/li>\n<li>How can you ensure you had the least number of moves?<\/li>\n<li>How did your teammates help you?<\/li>\n<li>What communication methods worked for your group? Are there ways you could have communicated better?<\/li>\n<\/ul>\n<p><span style=\"text-decoration: underline\">Group activity 2:<\/span> After participating in the group discussion, each individual group will address the question, &#8220;how does this relate to mathematics?&#8221;<\/p>\n<p><span style=\"text-decoration: underline\">Extension Questions:\u00a0<\/span><\/p>\n<ul>\n<li>What would the function look like if we graphed it?<\/li>\n<li>How would the game change if we had 4 or more pegs instead of 3?<\/li>\n<li>What is the least number of pegs needed for this game and why?<\/li>\n<\/ul>\n<p>This will spark great group discussions that also encourage communication to build strong team relationships.<\/p>\n<p>&nbsp;<\/p>\n<p>This TED talk on\u00a0the power of introverts is a great way to introduce how every member of a team can bring unique views to their group. Definitely a great video to show students at the beginning of the school year to set the tone for cooperative learning.<\/p>\n<p><iframe loading=\"lazy\" title=\"Susan Cain: The power of introverts\" src=\"https:\/\/embed.ted.com\/talks\/susan_cain_the_power_of_introverts\" width=\"640\" height=\"361\" frameborder=\"0\" scrolling=\"no\" webkitAllowFullScreen mozallowfullscreen allowFullScreen><\/iframe><\/p>\n<p><strong>Lesson Plan: Jigsaw II: Representations of Quadratic Functions<\/strong><\/p>\n<p><strong>Lesson Objective:\u00a0<\/strong>After completing this lesson, students will have a strong knowledge of how to use all aspects of quadratic functions, including what situations it is most appropriate to graph, find the min\/max and solve. Students will also be able to connect their prior knowledge of quadratic functions to scenarios that exist outside of the classroom.<\/p>\n<p><strong>Lesson Outline:\u00a0<\/strong><\/p>\n<p>This lesson focuses on students becoming experts in a small aspect of quadratic functions so that they can teach their peers in their area of expertise. Students already have a strong background knowledge of quadratic functions. This lesson acts as an extension of prior knowledge while continuing to build upon prior knowledge (ie: students know how to solve quadratic functions, but not necessarily scenarios to apply their solutions)<\/p>\n<p><span style=\"text-decoration: underline\">Lesson Timing:<\/span> This lesson is designed to take two\u00a045 minute class periods. The first class period is allotted for students to work on their tasks with their homogenous groups and break into heterogeneous groups to have their group discussion. The second class period begins with a whole class discussion of what each heterogeneous group discussed and feedback from their peers. The rest of the class period is given to students to complete the assessment activity with their heterogenous group.<\/p>\n<p>Standards:<\/p>\n<ul>\n<li><strong><a href=\"http:\/\/www.corestandards.org\/Math\/Content\/HSA\/REI\/B\/4\/\">HSA.REI.B.4<\/a><\/strong><\/li>\n<li><strong><a href=\"http:\/\/www.corestandards.org\/Math\/Content\/HSA\/REI\/B\/4\/a\/\">HSA.REI.B.4a<\/a><\/strong><\/li>\n<li><strong><a href=\"http:\/\/www.corestandards.org\/Math\/Content\/HSA\/REI\/B\/4\/b\/\">HSA.REI.B.4b<\/a>\u00a0<\/strong><\/li>\n<li><strong><a href=\"http:\/\/www.corestandards.org\/Math\/Content\/HSF\/IF\/C\/7\/a\/\">HSF.IF.C.7a<\/a>\u00a0<\/strong><\/li>\n<\/ul>\n<p><span style=\"text-decoration: underline\">Set up:<\/span> Students are divided\u00a0into groups of three. Each group of three will be given an activity that corresponds to different aspects of quadratic functions: solving, graphic representation, and maximums\/minimums. The activities will contain multiple examples of the representation. Students will all be given the same example, but will be asked to represent the activity with respect to their expertise area.<\/p>\n<p>&nbsp;<\/p>\n<p><span style=\"text-decoration: underline\">Solving Quadratic Functions (factoring, quad form, etc):<\/span> This group will receive the following prompt:<\/p>\n<blockquote><p>You are standing on a deck 10 feet off the ground. From the deck, you use a slingshot to launch a water balloon to your friends below. The water balloon launch can be modeled by the equation f(t)=-16t2+38t+10.<\/p>\n<p>Algebraically determine how long it will take for the rocket to reach the ground.<\/p><\/blockquote>\n<p><span style=\"text-decoration: underline\">Graphic Representation:\u00a0<\/span>This group will receive the following prompt:<\/p>\n<blockquote><p>You are standing on a deck 10 feet off the ground. From the deck, you use a slingshot to launch a water balloon to your friends below. The water balloon launch can be modeled by the equation f(t)=-16t2+38t+10.<\/p>\n<p>Graphically represent the water balloon\u2019s launch path and label each part of the graph.<\/p><\/blockquote>\n<p><span style=\"text-decoration: underline\">Maximum\/Minimum:<\/span> \u00a0This group will receive the following prompt:<\/p>\n<blockquote><p>You are standing on a deck 10 feet off the ground. From the deck, you use a slingshot to launch a water balloon to your friends below. The water balloon launch can be modeled by the equation f(t)=-16t2+38t+10.<\/p>\n<p>What is the maximum height the water balloon will reach? How long will it take to reach that height? Re-write the equation in vertex form.<\/p><\/blockquote>\n<p><span style=\"text-decoration: underline\">Jigsaw:<\/span> Once students have been given time to become experts on their own aspects of quadratic functions, they will get into heterogeneous groups (one graph expert, one solving expert, and one max\/min expert) and will be able to teach their groups what they have discovered as experts in their area. As a group, they will discuss the following questions:<\/p>\n<ul>\n<li>What are the benefits of each different aspect of quadratic functions?<\/li>\n<li>When would you need one representation over another? Why would that representation be most helpful?<\/li>\n<li>Describe a scenario in which knowing the maximum or minimum would be most beneficial, a scenario where having a graphic representation is most beneficial and a scenario where solving the quadratic function would be most beneficial (hint: these should be 3 different scenarios)<\/li>\n<\/ul>\n<p><span style=\"text-decoration: underline\">Share &amp; Discuss:<\/span> The group will then share their discussion ideas and individual scenarios with the class so that there is a wide variety of examples for all students.<\/p>\n<p><span style=\"text-decoration: underline\">Assessment:<\/span> The heterogenous group will then complete <a href=\"https:\/\/teacher.desmos.com\/activitybuilder\/custom\/586ab17c2f8cd5bc3bcaf259\">this\u00a0activity<\/a> to ensure that they have understood all aspects properties of quadratic functions.<\/p>\n<p><strong>Materials:\u00a0<\/strong><\/p>\n<ul>\n<li>Access to Desmos activity (computers, tablets, mobile devices)<\/li>\n<li>Materials for individual groups<\/li>\n<li>Discussion questions<\/li>\n<\/ul>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-medium wp-image-578 aligncenter\" src=\"http:\/\/sites.miamioh.edu\/edt222-2017\/files\/2017\/06\/maccas-correction-300x243.jpg\" alt=\"\" width=\"300\" height=\"243\" srcset=\"https:\/\/sites.miamioh.edu\/edt222-2017\/files\/2017\/06\/maccas-correction-300x243.jpg 300w, https:\/\/sites.miamioh.edu\/edt222-2017\/files\/2017\/06\/maccas-correction.jpg 450w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Team Building Activity: Set up:\u00a0For this team building activity, students will be in small groups of 3 &#8211; 4 students. Materials:\u00a0Each group will receive a set of 3\u00a0sticks, 6 colored rings and the following prompt: Set up: arrange the sticks &hellip; <a href=\"https:\/\/sites.miamioh.edu\/edt222-2017\/2017\/06\/cooperative-learning-heller\/\">Continue reading <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":2102,"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":[126,125,63,124,22,117,127],"class_list":["post-577","post","type-post","status-publish","format-standard","hentry","category-coop","tag-algebra-i","tag-functions","tag-math","tag-problem-solving","tag-quadratics","tag-team-building","tag-ted-talks"],"_links":{"self":[{"href":"https:\/\/sites.miamioh.edu\/edt222-2017\/wp-json\/wp\/v2\/posts\/577","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\/2102"}],"replies":[{"embeddable":true,"href":"https:\/\/sites.miamioh.edu\/edt222-2017\/wp-json\/wp\/v2\/comments?post=577"}],"version-history":[{"count":1,"href":"https:\/\/sites.miamioh.edu\/edt222-2017\/wp-json\/wp\/v2\/posts\/577\/revisions"}],"predecessor-version":[{"id":579,"href":"https:\/\/sites.miamioh.edu\/edt222-2017\/wp-json\/wp\/v2\/posts\/577\/revisions\/579"}],"wp:attachment":[{"href":"https:\/\/sites.miamioh.edu\/edt222-2017\/wp-json\/wp\/v2\/media?parent=577"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/sites.miamioh.edu\/edt222-2017\/wp-json\/wp\/v2\/categories?post=577"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/sites.miamioh.edu\/edt222-2017\/wp-json\/wp\/v2\/tags?post=577"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}