{"id":73634,"date":"2020-06-03T13:30:43","date_gmt":"2020-06-03T17:30:43","guid":{"rendered":"http:\/\/schools.wrdsb.ca\/athome\/?page_id=73634"},"modified":"2020-06-15T14:06:35","modified_gmt":"2020-06-15T18:06:35","slug":"swapping-frogs","status":"publish","type":"page","link":"https:\/\/schools.wrdsb.ca\/athome\/learn\/elementary-home\/elementary-2\/math\/math-grades-7-8\/puzzles\/swapping-frogs\/","title":{"rendered":"Swapping Frogs"},"content":{"rendered":"<h5>Puzzles<\/h5>\n<p>In this puzzle you need to find a way of swapping the pink and blue frogs.<\/p>\n<p>Start with 2 pink frogs on the left and 2 blue frogs on the right and one empty space between them:<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-73635\" src=\"http:\/\/schools.wrdsb.ca\/athome\/files\/2020\/06\/SwapFrogs1.png\" alt=\"2 pink frogs, one behind the other facing the middle, an open space in the middle, 2 blue frogs, one behind the other facing the middle.\" width=\"800\" height=\"179\" srcset=\"https:\/\/schools.wrdsb.ca\/athome\/files\/2020\/06\/SwapFrogs1.png 1062w, https:\/\/schools.wrdsb.ca\/athome\/files\/2020\/06\/SwapFrogs1-300x67.png 300w, https:\/\/schools.wrdsb.ca\/athome\/files\/2020\/06\/SwapFrogs1-768x172.png 768w, https:\/\/schools.wrdsb.ca\/athome\/files\/2020\/06\/SwapFrogs1-1024x229.png 1024w, https:\/\/schools.wrdsb.ca\/athome\/files\/2020\/06\/SwapFrogs1-165x37.png 165w, https:\/\/schools.wrdsb.ca\/athome\/files\/2020\/06\/SwapFrogs1-945x212.png 945w, https:\/\/schools.wrdsb.ca\/athome\/files\/2020\/06\/SwapFrogs1-750x168.png 750w\" sizes=\"auto, (max-width: 800px) 100vw, 800px\" \/><\/p>\n<h2>Rules:<\/h2>\n<ul>\n<li>A frog can step into the empty space.<\/li>\n<li>A frog can jump over another frog into the empty space.<\/li>\n<li>A frog can\u2019t jump over more than one frog at a time.<\/li>\n<li>A frog can not move backwards<\/li>\n<\/ul>\n<p>Is it possible to move the frogs so the pink frogs end up on the right and the blue frogs end up on the left like this:<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-73636\" src=\"http:\/\/schools.wrdsb.ca\/athome\/files\/2020\/06\/SwapFrogs2.png\" alt=\"2 blue frogs on the left, one behind the other facing the left, an open space in the middle, 2 pink frogs on the right, one behind the other facing right.\" width=\"800\" height=\"192\" srcset=\"https:\/\/schools.wrdsb.ca\/athome\/files\/2020\/06\/SwapFrogs2.png 1066w, https:\/\/schools.wrdsb.ca\/athome\/files\/2020\/06\/SwapFrogs2-300x72.png 300w, https:\/\/schools.wrdsb.ca\/athome\/files\/2020\/06\/SwapFrogs2-768x184.png 768w, https:\/\/schools.wrdsb.ca\/athome\/files\/2020\/06\/SwapFrogs2-1024x246.png 1024w, https:\/\/schools.wrdsb.ca\/athome\/files\/2020\/06\/SwapFrogs2-165x40.png 165w, https:\/\/schools.wrdsb.ca\/athome\/files\/2020\/06\/SwapFrogs2-945x227.png 945w, https:\/\/schools.wrdsb.ca\/athome\/files\/2020\/06\/SwapFrogs2-750x180.png 750w\" sizes=\"auto, (max-width: 800px) 100vw, 800px\" \/><\/p>\n<p>You can explore this puzzle using buttons or coins or <a href=\"https:\/\/nrich.maths.org\/14410\" target=\"_blank\" rel=\"noopener\">an online version<\/a>.<\/p>\n<h3>Variations:<\/h3>\n<ul>\n<li>Change the number of blue and pink frogs (3 blue, 3 pink then 4 blue, 4 pink)\n<ul>\n<li>Keep a record of how many moves it takes to swap them over<\/li>\n<\/ul>\n<\/li>\n<li>Can you make any predictions about how many moves you will need to swap over any number of red frogs and blue frogs?<\/li>\n<\/ul>\n<p>Source: <a href=\"https:\/\/nrich.maths.org\/content\/id\/14410\/SolvingTogetherFrogs.pdf\" target=\"_blank\" rel=\"noopener\">NRichmaths.org<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>In this puzzle you need to find a way of swapping the pink and blue frogs.<\/p>\n","protected":false},"author":15985,"featured_media":0,"parent":72978,"menu_order":2,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"categories":[7],"tags":[],"class_list":["post-73634","page","type-page","status-publish","hentry","category-elementary"],"_links":{"self":[{"href":"https:\/\/schools.wrdsb.ca\/athome\/wp-json\/wp\/v2\/pages\/73634","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=73634"}],"version-history":[{"count":0,"href":"https:\/\/schools.wrdsb.ca\/athome\/wp-json\/wp\/v2\/pages\/73634\/revisions"}],"up":[{"embeddable":true,"href":"https:\/\/schools.wrdsb.ca\/athome\/wp-json\/wp\/v2\/pages\/72978"}],"wp:attachment":[{"href":"https:\/\/schools.wrdsb.ca\/athome\/wp-json\/wp\/v2\/media?parent=73634"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/schools.wrdsb.ca\/athome\/wp-json\/wp\/v2\/categories?post=73634"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/schools.wrdsb.ca\/athome\/wp-json\/wp\/v2\/tags?post=73634"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}