{"id":68429,"date":"2020-03-30T08:33:32","date_gmt":"2020-03-30T12:33:32","guid":{"rendered":"http:\/\/schools.wrdsb.ca\/athome\/?page_id=68429"},"modified":"2020-05-25T13:02:38","modified_gmt":"2020-05-25T17:02:38","slug":"head-to-head-rectangulation","status":"publish","type":"page","link":"https:\/\/schools.wrdsb.ca\/athome\/learn\/elementary-home\/elementary-2\/math\/math-grades-4-6\/explorations-and-games\/head-to-head-rectangulation\/","title":{"rendered":"Head-to-Head Rectangulation"},"content":{"rendered":"<h5>Explorations and Games<\/h5>\n<h2>Learning Goals:<\/h2>\n<ul>\n<li>Build a deeper understanding of the multiplication operation<\/li>\n<li>Multiply using a variety of strategies (including mental strategies)<\/li>\n<li>Communicate mathematical thinking orally and visually<\/li>\n<\/ul>\n<h3>Materials:<\/h3>\n<ul>\n<li>Grid paper (see attached page for a printable sheet) OR blank paper<\/li>\n<li>Dice (see attached page for a foldable homemade dice)<\/li>\n<li>Two colours of pencil crayon, marker, or crayon<\/li>\n<li>Scrap paper for calculations<\/li>\n<\/ul>\n<h3>Playing the Game:<\/h3>\n<p>This is a game played in partners. Two players share one page. (See one-player version in Adaptations &amp; Extensions below)<\/p>\n<p>The first player rolls two dice (or a single dice twice.)\u00a0The resulting numbers are used as dimensions to create a rectangle somewhere on the page. (i.e., rolling a 2 and a 3 results in a 2 by 3 rectangle.) <a href=\"http:\/\/schools.wrdsb.ca\/athome\/files\/2020\/03\/Day-Three-Junior-Math-Activities.pdf\" target=\"_blank\" rel=\"noopener\">Dice and grid paper can be found here<\/a>.<\/p>\n<p>If grid paper is available:<\/p>\n<ul>\n<li>record each rectangle on the gridlines<\/li>\n<\/ul>\n<p>Without grid paper:<\/p>\n<ul>\n<li>record each rectangle by measuring with a ruler (i.e., rolling a 2 and a 3 would result in a 2 cm by 3 cm rectangle.)<\/li>\n<\/ul>\n<p>After drawing their rectangle, players must also include a multiplication equation inside. (i.e., a 2 by 3 rectangle would contain the equation \u201c2&#215;3=6\u201d). Play continues back and forth until a player cannot fit their rolled rectangle on the page.<\/p>\n<p>The winner can either be the last player who fit a rectangle on the page<br \/>\nOR<br \/>\nEach player can take some time to calculate the total area of all of their rectangles (by adding) and the winner can be the player with the greatest total area.<br \/>\nOR<br \/>\nThe game can be played collaboratively, with the goal of filling as much of the page as possible. Is it possible to fill it completely, with no space left over?<\/p>\n<h3>Some rounds of Rectangulation in progress:<\/h3>\n<h2><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-68437\" src=\"http:\/\/schools.wrdsb.ca\/athome\/files\/2020\/03\/Rectangulation-Image.png\" alt=\"\" width=\"600\" height=\"215\" srcset=\"https:\/\/schools.wrdsb.ca\/athome\/files\/2020\/03\/Rectangulation-Image.png 6326w, https:\/\/schools.wrdsb.ca\/athome\/files\/2020\/03\/Rectangulation-Image-300x108.png 300w, https:\/\/schools.wrdsb.ca\/athome\/files\/2020\/03\/Rectangulation-Image-768x275.png 768w, https:\/\/schools.wrdsb.ca\/athome\/files\/2020\/03\/Rectangulation-Image-1024x367.png 1024w, https:\/\/schools.wrdsb.ca\/athome\/files\/2020\/03\/Rectangulation-Image-165x59.png 165w, https:\/\/schools.wrdsb.ca\/athome\/files\/2020\/03\/Rectangulation-Image-1140x409.png 1140w, https:\/\/schools.wrdsb.ca\/athome\/files\/2020\/03\/Rectangulation-Image-945x339.png 945w, https:\/\/schools.wrdsb.ca\/athome\/files\/2020\/03\/Rectangulation-Image-750x269.png 750w\" sizes=\"auto, (max-width: 600px) 100vw, 600px\" \/><\/h2>\n<h3>Questions and Prompts to Support your Child:<\/h3>\n<ul>\n<li>How did you figure out that product? (when recording equations)<\/li>\n<li>How could we figure out that product? (if they are unsure of an area)<\/li>\n<li>Why did you place your rectangle there?<\/li>\n<li>Is there anywhere that you specifically didn\u2019t want to place it?<\/li>\n<\/ul>\n<h3>Extensions &amp; Adaptations:<\/h3>\n<ul>\n<li>***If playing without a partner, play can continue with the goal of filling as much of the<br \/>\npage as possible. Creating rectangles in pencil would allow a student playing alone to<br \/>\ncreate a work of art from the finished gameboard &#8211; filling rectangles in with different<br \/>\ncolours and patterns once finished the game.***<\/li>\n<li>If struggling with mental calculations, having some scrap paper can really help<\/li>\n<li>Try aiming for a \u201ctarget\u201d total instead of aiming for the greatest total area, where the<br \/>\nwinner is the player closest to a specific total area<\/li>\n<li>Try only rolling a single dice and strategically selecting the other number (for more<br \/>\ndecision making)<\/li>\n<li><a href=\"https:\/\/www.gamesforyoungminds.com\/blog\/2019\/10\/28\/rectangulation\" target=\"_blank\" rel=\"noopener\">Explore this website<\/a> for a more competitive version of the game using smaller<br \/>\ngameboards!<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Learning Goals: Build a deeper understanding of the multiplication operation, Multiply using a variety of strategies (including mental strategies), Communicate mathematical thinking orally and visually<\/p>\n","protected":false},"author":15985,"featured_media":0,"parent":72861,"menu_order":11,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"categories":[7],"tags":[],"class_list":["post-68429","page","type-page","status-publish","hentry","category-elementary"],"_links":{"self":[{"href":"https:\/\/schools.wrdsb.ca\/athome\/wp-json\/wp\/v2\/pages\/68429","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/schools.wrdsb.ca\/athome\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/schools.wrdsb.ca\/athome\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/schools.wrdsb.ca\/athome\/wp-json\/wp\/v2\/users\/15985"}],"replies":[{"embeddable":true,"href":"https:\/\/schools.wrdsb.ca\/athome\/wp-json\/wp\/v2\/comments?post=68429"}],"version-history":[{"count":0,"href":"https:\/\/schools.wrdsb.ca\/athome\/wp-json\/wp\/v2\/pages\/68429\/revisions"}],"up":[{"embeddable":true,"href":"https:\/\/schools.wrdsb.ca\/athome\/wp-json\/wp\/v2\/pages\/72861"}],"wp:attachment":[{"href":"https:\/\/schools.wrdsb.ca\/athome\/wp-json\/wp\/v2\/media?parent=68429"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/schools.wrdsb.ca\/athome\/wp-json\/wp\/v2\/categories?post=68429"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/schools.wrdsb.ca\/athome\/wp-json\/wp\/v2\/tags?post=68429"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}