{"id":72037,"date":"2020-05-14T07:00:48","date_gmt":"2020-05-14T11:00:48","guid":{"rendered":"http:\/\/schools.wrdsb.ca\/athome\/?page_id=72037"},"modified":"2020-05-25T13:46:02","modified_gmt":"2020-05-25T17:46:02","slug":"yohaku-multiplication-puzzles","status":"publish","type":"page","link":"https:\/\/schools.wrdsb.ca\/athome\/learn\/elementary-home\/elementary-2\/math\/math-grades-4-6\/puzzles-and-riddles\/yohaku-multiplication-puzzles\/","title":{"rendered":"Yohaku Multiplication Puzzles"},"content":{"rendered":"<h5>Puzzles and Riddles<\/h5>\n<h2>Learning Goals:<\/h2>\n<ul>\n<li>Multiply and divide whole numbers using a variety of mental strategies<\/li>\n<li>Determine the missing numbers in equations<\/li>\n<li>Develop and apply reasoning skills to make and test math predictions<\/li>\n<\/ul>\n<h2>The Challenge:<\/h2>\n<p>The goal of a yohaku puzzle is to find four numbers that will fit in the boxes, so that each row and column multiplies to the corresponding products at the right and bottom.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-72038 aligncenter\" src=\"http:\/\/schools.wrdsb.ca\/athome\/files\/2020\/05\/Yohaku_Beginner.png\" alt=\"A two-by-two yohaku puzzle where numbers need to multiply to the products 60 and 32 (at the bottom), as well as 48 and 40 (down the right side.)\" width=\"500\" height=\"443\" srcset=\"https:\/\/schools.wrdsb.ca\/athome\/files\/2020\/05\/Yohaku_Beginner.png 1124w, https:\/\/schools.wrdsb.ca\/athome\/files\/2020\/05\/Yohaku_Beginner-300x266.png 300w, https:\/\/schools.wrdsb.ca\/athome\/files\/2020\/05\/Yohaku_Beginner-768x681.png 768w, https:\/\/schools.wrdsb.ca\/athome\/files\/2020\/05\/Yohaku_Beginner-1024x907.png 1024w, https:\/\/schools.wrdsb.ca\/athome\/files\/2020\/05\/Yohaku_Beginner-165x146.png 165w, https:\/\/schools.wrdsb.ca\/athome\/files\/2020\/05\/Yohaku_Beginner-945x837.png 945w, https:\/\/schools.wrdsb.ca\/athome\/files\/2020\/05\/Yohaku_Beginner-750x665.png 750w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/p>\n<h3><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-72040\" src=\"http:\/\/schools.wrdsb.ca\/athome\/files\/2020\/05\/Yohaku_Medium.png\" alt=\"A two-by-two yohaku puzzle where numbers need to multiply to the products 72 and 60 (at the bottom), as well as 120 and 36 (down the right side.)\" width=\"500\" height=\"442\" srcset=\"https:\/\/schools.wrdsb.ca\/athome\/files\/2020\/05\/Yohaku_Medium.png 1130w, https:\/\/schools.wrdsb.ca\/athome\/files\/2020\/05\/Yohaku_Medium-300x265.png 300w, https:\/\/schools.wrdsb.ca\/athome\/files\/2020\/05\/Yohaku_Medium-768x678.png 768w, https:\/\/schools.wrdsb.ca\/athome\/files\/2020\/05\/Yohaku_Medium-1024x904.png 1024w, https:\/\/schools.wrdsb.ca\/athome\/files\/2020\/05\/Yohaku_Medium-165x146.png 165w, https:\/\/schools.wrdsb.ca\/athome\/files\/2020\/05\/Yohaku_Medium-945x835.png 945w, https:\/\/schools.wrdsb.ca\/athome\/files\/2020\/05\/Yohaku_Medium-750x662.png 750w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/h3>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-72041\" src=\"http:\/\/schools.wrdsb.ca\/athome\/files\/2020\/05\/Yohaku_Advanced.png\" alt=\"A two-by-two yohaku puzzle where numbers need to multiply to the products 144 and 80 (at the bottom), as well as 120 and 96 (down the right side.)\" width=\"500\" height=\"441\" srcset=\"https:\/\/schools.wrdsb.ca\/athome\/files\/2020\/05\/Yohaku_Advanced.png 1134w, https:\/\/schools.wrdsb.ca\/athome\/files\/2020\/05\/Yohaku_Advanced-300x265.png 300w, https:\/\/schools.wrdsb.ca\/athome\/files\/2020\/05\/Yohaku_Advanced-768x677.png 768w, https:\/\/schools.wrdsb.ca\/athome\/files\/2020\/05\/Yohaku_Advanced-1024x903.png 1024w, https:\/\/schools.wrdsb.ca\/athome\/files\/2020\/05\/Yohaku_Advanced-165x146.png 165w, https:\/\/schools.wrdsb.ca\/athome\/files\/2020\/05\/Yohaku_Advanced-945x833.png 945w, https:\/\/schools.wrdsb.ca\/athome\/files\/2020\/05\/Yohaku_Advanced-750x661.png 750w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/p>\n<h3>Questions and Prompts to Support your Child:<\/h3>\n<ul>\n<li>What have you tried so far? What could we try together?<\/li>\n<li>If that combination of numbers didn\u2019t work out, what could you try instead?<\/li>\n<li>If you feel stuck, try thinking about a blank as a number that could multiply to BOTH the product to the right of it and the product below it? (For example, what number could be a factor to multiply to 48, but ALSO be a factor that multiplies to 60?)<\/li>\n<\/ul>\n<h3>Extensions &amp; Adaptations:<\/h3>\n<ul>\n<li>Do any of these puzzles have more than one possible solution? How can you prove it?<\/li>\n<li>Try creating your own yohaku puzzle by starting with four numbers in the boxes, multiplying to get the products to the right and below, then erasing the original numbers<\/li>\n<li>For an extra challenge, check back next week for some three by three yohaku puzzles!<\/li>\n<\/ul>\n<p>Source: <a href=\"https:\/\/www.yohaku.ca\/\" target=\"_blank\" rel=\"noopener\">Yohaku.ca<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>The goal of a yohaku puzzle is to find four numbers that will fit in the boxes, so that each row and column multiplies to the corresponding products at the right and bottom.<\/p>\n","protected":false},"author":15985,"featured_media":0,"parent":72901,"menu_order":7,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"categories":[7],"tags":[],"class_list":["post-72037","page","type-page","status-publish","hentry","category-elementary"],"_links":{"self":[{"href":"https:\/\/schools.wrdsb.ca\/athome\/wp-json\/wp\/v2\/pages\/72037","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=72037"}],"version-history":[{"count":0,"href":"https:\/\/schools.wrdsb.ca\/athome\/wp-json\/wp\/v2\/pages\/72037\/revisions"}],"up":[{"embeddable":true,"href":"https:\/\/schools.wrdsb.ca\/athome\/wp-json\/wp\/v2\/pages\/72901"}],"wp:attachment":[{"href":"https:\/\/schools.wrdsb.ca\/athome\/wp-json\/wp\/v2\/media?parent=72037"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/schools.wrdsb.ca\/athome\/wp-json\/wp\/v2\/categories?post=72037"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/schools.wrdsb.ca\/athome\/wp-json\/wp\/v2\/tags?post=72037"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}