{"id":70337,"date":"2020-04-09T12:15:11","date_gmt":"2020-04-09T16:15:11","guid":{"rendered":"http:\/\/schools.wrdsb.ca\/athome\/?page_id=70337"},"modified":"2020-05-25T11:54:38","modified_gmt":"2020-05-25T15:54:38","slug":"its-math-game-day","status":"publish","type":"page","link":"https:\/\/schools.wrdsb.ca\/athome\/learn\/elementary-home\/elementary-2\/math\/math-grades-1-3\/games-and-puzzles\/its-math-game-day\/","title":{"rendered":"It\u2019s Math Game Day!"},"content":{"rendered":"<h5>Games and Puzzles<\/h5>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-70338 alignnone\" src=\"http:\/\/schools.wrdsb.ca\/athome\/files\/2020\/04\/lea-bohm-4yI0Kg8MV_4-unsplash.jpg\" alt=\"\" width=\"400\" height=\"267\" srcset=\"https:\/\/schools.wrdsb.ca\/athome\/files\/2020\/04\/lea-bohm-4yI0Kg8MV_4-unsplash.jpg 1920w, https:\/\/schools.wrdsb.ca\/athome\/files\/2020\/04\/lea-bohm-4yI0Kg8MV_4-unsplash-300x200.jpg 300w, https:\/\/schools.wrdsb.ca\/athome\/files\/2020\/04\/lea-bohm-4yI0Kg8MV_4-unsplash-768x512.jpg 768w, https:\/\/schools.wrdsb.ca\/athome\/files\/2020\/04\/lea-bohm-4yI0Kg8MV_4-unsplash-1024x683.jpg 1024w, https:\/\/schools.wrdsb.ca\/athome\/files\/2020\/04\/lea-bohm-4yI0Kg8MV_4-unsplash-165x110.jpg 165w, https:\/\/schools.wrdsb.ca\/athome\/files\/2020\/04\/lea-bohm-4yI0Kg8MV_4-unsplash-1140x760.jpg 1140w, https:\/\/schools.wrdsb.ca\/athome\/files\/2020\/04\/lea-bohm-4yI0Kg8MV_4-unsplash-945x630.jpg 945w, https:\/\/schools.wrdsb.ca\/athome\/files\/2020\/04\/lea-bohm-4yI0Kg8MV_4-unsplash-750x500.jpg 750w\" sizes=\"auto, (max-width: 400px) 100vw, 400px\" \/><\/p>\n<h3>Try one or all of these games<\/h3>\n<p>(Selected and adapted from <a href=\"http:\/\/nrich.maths.org\" target=\"_blank\" rel=\"noopener\">nrich.maths.org<\/a>)<\/p>\n<h2><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-70344\" src=\"http:\/\/schools.wrdsb.ca\/athome\/files\/2020\/04\/segom-YoT49qCEcHMN15xtQ.png\" alt=\"\" width=\"100\" height=\"104\" \/><\/h2>\n<h2>Game 1: Nim-7 for Two<\/h2>\n<p>Materials: You will also need seven objects, such as counters, blocks or coins.<\/p>\n<h3>Instructions:<\/h3>\n<p>Place the 7 objects in a pile and starting with the adult, take turns to take away either one or two counters.<br \/>\nThe person who takes the last counter wins.<br \/>\nSwap who goes first, and keep playing until you work out a winning strategy.<\/p>\n<p>Does it matter who has the first turn?<br \/>\nWhat happens when there are three counters left?<br \/>\nHow can you win at this game?<br \/>\nWhat happens when you start the game with more counters?<\/p>\n<h3><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-70341 alignnone\" src=\"http:\/\/schools.wrdsb.ca\/athome\/files\/2020\/04\/black-and-yellow-analog-clock-3283142.jpg\" alt=\"\" width=\"400\" height=\"263\" srcset=\"https:\/\/schools.wrdsb.ca\/athome\/files\/2020\/04\/black-and-yellow-analog-clock-3283142.jpg 1280w, https:\/\/schools.wrdsb.ca\/athome\/files\/2020\/04\/black-and-yellow-analog-clock-3283142-300x197.jpg 300w, https:\/\/schools.wrdsb.ca\/athome\/files\/2020\/04\/black-and-yellow-analog-clock-3283142-768x504.jpg 768w, https:\/\/schools.wrdsb.ca\/athome\/files\/2020\/04\/black-and-yellow-analog-clock-3283142-1024x672.jpg 1024w, https:\/\/schools.wrdsb.ca\/athome\/files\/2020\/04\/black-and-yellow-analog-clock-3283142-165x108.jpg 165w, https:\/\/schools.wrdsb.ca\/athome\/files\/2020\/04\/black-and-yellow-analog-clock-3283142-1140x748.jpg 1140w, https:\/\/schools.wrdsb.ca\/athome\/files\/2020\/04\/black-and-yellow-analog-clock-3283142-945x620.jpg 945w, https:\/\/schools.wrdsb.ca\/athome\/files\/2020\/04\/black-and-yellow-analog-clock-3283142-750x492.jpg 750w\" sizes=\"auto, (max-width: 400px) 100vw, 400px\" \/><\/h3>\n<h2>Game 2: Stop the Clock for Two<\/h2>\n<p>This game helps to develop children\u2019s fluency with telling the time and calculating time intervals. However, the real challenge is to find a winning strategy!<\/p>\n<h3>How do you play?<\/h3>\n<p>You will need a set of <a href=\"https:\/\/nrich.maths.org\/content\/id\/10066\/Stop%20the%20clock.pdf\" target=\"_blank\" rel=\"noopener\">blank clock faces<\/a> (you can draw your own) and 2 pencils or crayons to use as clock hands, or you could <a href=\"https:\/\/nrich.maths.org\/approachingMidnight\/#\/\" target=\"_blank\" rel=\"noopener\">use the interactive version<\/a>.<\/p>\n<p>Set the time on the clock to 6 o\u2019clock to start the game.<br \/>\nStarting with the adult, take it in turns to move the hands of the clock on by<br \/>\n\u00bd hour or 1 hour. For example, the adult could choose<br \/>\n\u00bd hour, so the clock hands move to 6.30, then you might choose 1 hour, moving the clock hands to 7.30, and so on.<br \/>\nThe winner is the person who moves the hands exactly onto 12 o\u2019clock.<\/p>\n<p>Does it make a difference if you go first instead?<br \/>\nWhat happens if the adult gets to 10.30? Why?<br \/>\nCan you work out a winning strategy?<\/p>\n<p>Easier version: start at 9 o\u2019clock instead of 6 o\u2019clock.<br \/>\nHarder version: try using different time intervals e.g.<br \/>\n\u00bc, \u00bd or \u00be of an hour.<\/p>\n<p>Repeat the game, aiming to find a winning strategy, then talk together about how it was found.<\/p>\n<h2>Game 3: Strike it Out<\/h2>\n<p>This is a game for two players.<br \/>\nStart by drawing a number line from 0 to 20 like this:<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-70223 size-full\" src=\"http:\/\/schools.wrdsb.ca\/athome\/files\/2020\/04\/numberline.gif\" alt=\"\" width=\"550\" height=\"37\" \/><\/p>\n<p>The first player chooses a number on the line and crosses it out.<br \/>\nThe same player then chooses a second number and crosses that out too.<br \/>\nFinally, he or she circles the sum or difference of the two numbers and writes down the calculation.<\/p>\n<p>For example, the first player&#8217;s go could look like this:<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-70226\" src=\"http:\/\/schools.wrdsb.ca\/athome\/files\/2020\/04\/numberlineplayer1.gif\" alt=\"\" width=\"550\" height=\"100\" \/><\/p>\n<p>The second player must start by crossing off the number that player 1 has just circled.<br \/>\nHe or she then chooses another number to cross out and then circles a third number which is the sum or difference of the two crossed-off numbers.<br \/>\nPlayer 2 also writes down their calculation.<\/p>\n<p>For example, once the second player has had a turn, the game could look like this:<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-70227\" src=\"http:\/\/schools.wrdsb.ca\/athome\/files\/2020\/04\/numberlineplayer2.gif\" alt=\"\" width=\"550\" height=\"130\" \/><\/p>\n<p>Play continues in this way with each player starting with the number that has just been circled.<\/p>\n<p>For example, player one could then have a turn which left the game looking like this:<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-70349\" src=\"http:\/\/schools.wrdsb.ca\/athome\/files\/2020\/04\/unnamed.gif\" alt=\"\" width=\"500\" height=\"146\" \/><\/p>\n<p>The winner of the game is the player who stops their opponent from being able to go.<br \/>\nNow it&#8217;s your turn! Try playing the game a few times to get a feel for it. What is your strategy for winning?<\/p>\n<h2>Game 4: Tangram Pictures<\/h2>\n<p>A tangram is an ancient Chinese puzzle where you make pictures using mathematical shapes. Make a set of tangram pieces from squared paper as shown below (if you don\u2019t have squared paper you can make your own by drawing 8 lines vertically and 8 lines horizontally that are 2cm apart):<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-70355\" src=\"http:\/\/schools.wrdsb.ca\/athome\/files\/2020\/04\/tangram-picture-2.png\" alt=\"\" width=\"400\" height=\"400\" srcset=\"https:\/\/schools.wrdsb.ca\/athome\/files\/2020\/04\/tangram-picture-2.png 955w, https:\/\/schools.wrdsb.ca\/athome\/files\/2020\/04\/tangram-picture-2-150x150.png 150w, https:\/\/schools.wrdsb.ca\/athome\/files\/2020\/04\/tangram-picture-2-300x300.png 300w, https:\/\/schools.wrdsb.ca\/athome\/files\/2020\/04\/tangram-picture-2-768x769.png 768w, https:\/\/schools.wrdsb.ca\/athome\/files\/2020\/04\/tangram-picture-2-50x50.png 50w, https:\/\/schools.wrdsb.ca\/athome\/files\/2020\/04\/tangram-picture-2-100x100.png 100w, https:\/\/schools.wrdsb.ca\/athome\/files\/2020\/04\/tangram-picture-2-165x165.png 165w, https:\/\/schools.wrdsb.ca\/athome\/files\/2020\/04\/tangram-picture-2-945x946.png 945w, https:\/\/schools.wrdsb.ca\/athome\/files\/2020\/04\/tangram-picture-2-750x751.png 750w\" sizes=\"auto, (max-width: 400px) 100vw, 400px\" \/><\/p>\n<p>Can you make each of these pictures using your seven pieces?<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-70356 alignnone\" src=\"http:\/\/schools.wrdsb.ca\/athome\/files\/2020\/04\/5908458040459264.png\" alt=\"\" width=\"400\" height=\"125\" srcset=\"https:\/\/schools.wrdsb.ca\/athome\/files\/2020\/04\/5908458040459264.png 1332w, https:\/\/schools.wrdsb.ca\/athome\/files\/2020\/04\/5908458040459264-300x94.png 300w, https:\/\/schools.wrdsb.ca\/athome\/files\/2020\/04\/5908458040459264-768x240.png 768w, https:\/\/schools.wrdsb.ca\/athome\/files\/2020\/04\/5908458040459264-1024x320.png 1024w, https:\/\/schools.wrdsb.ca\/athome\/files\/2020\/04\/5908458040459264-165x52.png 165w, https:\/\/schools.wrdsb.ca\/athome\/files\/2020\/04\/5908458040459264-1140x356.png 1140w, https:\/\/schools.wrdsb.ca\/athome\/files\/2020\/04\/5908458040459264-945x295.png 945w, https:\/\/schools.wrdsb.ca\/athome\/files\/2020\/04\/5908458040459264-750x234.png 750w\" sizes=\"auto, (max-width: 400px) 100vw, 400px\" \/><\/p>\n<p>You can try some more tangram puzzles in the <a href=\"https:\/\/nrich.maths.org\/14074\" target=\"_blank\" rel=\"noopener\">World of Tan<\/a> problems.<br \/>\nThere are puzzles using a different set of tangram shapes in the problem <a href=\"http:\/\/nrich.maths.org\/public\/viewer.php?obj_id=5528&amp;part=\" target=\"_blank\" rel=\"noopener\">Square Tangram<\/a>.<br \/>\nOr why not try designing some Tangram pictures of your own?<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Try one or all of these games selected and adapted from nrich.maths.org.<\/p>\n","protected":false},"author":15985,"featured_media":0,"parent":72820,"menu_order":6,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"categories":[7],"tags":[],"class_list":["post-70337","page","type-page","status-publish","hentry","category-elementary"],"_links":{"self":[{"href":"https:\/\/schools.wrdsb.ca\/athome\/wp-json\/wp\/v2\/pages\/70337","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=70337"}],"version-history":[{"count":0,"href":"https:\/\/schools.wrdsb.ca\/athome\/wp-json\/wp\/v2\/pages\/70337\/revisions"}],"up":[{"embeddable":true,"href":"https:\/\/schools.wrdsb.ca\/athome\/wp-json\/wp\/v2\/pages\/72820"}],"wp:attachment":[{"href":"https:\/\/schools.wrdsb.ca\/athome\/wp-json\/wp\/v2\/media?parent=70337"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/schools.wrdsb.ca\/athome\/wp-json\/wp\/v2\/categories?post=70337"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/schools.wrdsb.ca\/athome\/wp-json\/wp\/v2\/tags?post=70337"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}