{"id":4015,"date":"2014-04-16T19:04:10","date_gmt":"2014-04-16T19:04:10","guid":{"rendered":"http:\/\/www.oracletutoring.ca\/blog\/?p=4015"},"modified":"2018-02-20T16:35:19","modified_gmt":"2018-02-20T16:35:19","slug":"math-multiplying-with-algebra-tiles","status":"publish","type":"post","link":"https:\/\/www.oracletutoring.ca\/blog\/math-multiplying-with-algebra-tiles\/","title":{"rendered":"Math: multiplying with algebra tiles"},"content":{"rendered":"

The tutor continues with algebra tiles. Tutoring math, you see them especially in grades 9 or 10.<\/h1>\n

I began discussing algebra tiles here<\/a>. Recall that they are meant to model numbers, variables, and operations you can perform to them. Recalling the foil method,<\/a> we’ll take a look at how algebra tiles can be used to “show” it.<\/p>\n

Example:<\/strong> Show (x+6)(x-2) with algebra tiles.<\/p>\n

Solution:<\/strong> We know by the foil method that the answer is x^2+4x-12.<\/p>\n

With algebra tiles, the layout is rows and columns. We might, for instance, display x+6 across the top, and x-2 down the left, as follows:<\/p>\n\n\n\n\n\n
<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/tr>\n<\/table>\n

The result of the multiplication is in the “body” of the table. We see one large white square (which means +x^2), six white rectangles (+6x), then two black rectangles (-2x), and finally, twelve small black squares (-12). The two black rectangles cancel out two of the white ones, leaving four. The result is x^2 +4x -12, as we knew from foil.<\/p>\n

Some people find foil quite difficult, while this visual method is easier for them. Once they’re used to it, they hopefully become comfortable with how it translates to foil.<\/p>\n

I’ll be saying more about algebra tiles in future posts:)<\/p>\n

Jack of Oracle Tutoring by Jack and Diane,<\/a> Campbell River, BC.<\/p>\n","protected":false},"excerpt":{"rendered":"

The tutor continues with algebra tiles. Tutoring math, you see them especially in grades 9 or 10. I began discussing algebra tiles here. Recall that they are meant to model numbers, variables, and operations you can perform to them. Recalling …<\/p>\n

Math: multiplying with algebra tiles<\/span> Read More »<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3],"tags":[124,129],"class_list":["post-4015","post","type-post","status-publish","format-standard","hentry","category-math","tag-algebra-tiles","tag-multiplying-with-algebra-tiles"],"_links":{"self":[{"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/posts\/4015","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/comments?post=4015"}],"version-history":[{"count":24,"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/posts\/4015\/revisions"}],"predecessor-version":[{"id":30166,"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/posts\/4015\/revisions\/30166"}],"wp:attachment":[{"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/media?parent=4015"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/categories?post=4015"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/tags?post=4015"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}