{"id":3187,"date":"2013-04-02T13:32:39","date_gmt":"2013-04-02T21:32:39","guid":{"rendered":"http:\/\/kidnexions.com\/blog\/?p=3187"},"modified":"2013-04-02T13:37:32","modified_gmt":"2013-04-02T21:37:32","slug":"multiplication-facts-and-the-distributive-property","status":"publish","type":"post","link":"https:\/\/www.familymathnight.com\/blog\/?p=3187","title":{"rendered":"Multiplication Facts and the Distributive Property"},"content":{"rendered":"<p>Mathematical properties are actually quite useful when it comes to making sense of math. For example, the commutative property of addition helps make adding numbers a little easier.  If we know that the order the numbers are added does not matter, then in the problem 2 + 9, adding the 2 onto the 9 is easier and more efficient than adding the 9 onto the 2.  <\/p>\n<p>The Common Core State Standards in Mathematics requires all third grade students to know their 0 &#8211; 9 multiplication facts by the end of the year.  We can actually call in another mathematical property to help&#8230;the commutative property of multiplication which states that the order the numbers are multiplied does not matter:  3 x 5 is the same as 5 x 3.<\/p>\n<p>But it&#8217;s the distributive property that I find the most useful in learning the multiplication facts.  I ask my students what the word &#8216;distribute&#8217; means.  Once we agree that it means to share out, I tell them that distributing numbers can help us learn our facts.  I then do several problems like the one in the photo where the number &#8216;9&#8217; is sharing itself out as &#8216;4&#8217; and &#8216;5&#8217;.  Once students get the idea, they work in pairs or small groups to come up with their own examples.<\/p>\n<p><a href=\"http:\/\/kidnexions.com\/blog\/?attachment_id=3189\" rel=\"attachment wp-att-3189\"><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/kidnexions.com\/blog\/wp-content\/uploads\/2013\/04\/2013-04-02-14.14.24-300x225.jpg\" alt=\"\" title=\"Multiplication Facts and the Distributive Property\" width=\"300\" height=\"225\" class=\"aligncenter size-medium wp-image-3189\" srcset=\"https:\/\/www.familymathnight.com\/blog\/wp-content\/uploads\/2013\/04\/2013-04-02-14.14.24-300x225.jpg 300w, https:\/\/www.familymathnight.com\/blog\/wp-content\/uploads\/2013\/04\/2013-04-02-14.14.24-450x337.jpg 450w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a><\/p>\n<p>What I like about using tiles to visually show what the distributive property looks like is the tie-in with area.  Each tile represents one square unit.  In order to find the area of the entire rectangle in square units, we simply multiply the length by the width.<\/p>\n<p>In addition, using tiles can also illustrate congruence.  A 3 x 5 rectangle is the same as a 5 x 3 rectangle.  And, hey, that&#8217;s also the commutative property of multiplication!<\/p>\n<p>When our student can physically manipulate objects to show mathematical concepts, math makes sense.  And when that happens, learning increases.  That&#8217;s a good thing! <\/p>\n<p>CCSSM:  3.OA.B.5; 3.OA.C.7; 3.MD.C.5; 3.MD.C.6; 3.MD.C.7<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Mathematical properties are actually quite useful when it comes to making sense of math. For example, the commutative property of addition helps make adding numbers a little easier. If we know that the order the numbers are added does not matter, then in the problem 2 + 9, adding the 2 onto the 9 is easier and more efficient than adding the 9 onto the 2. The Common Core State Standards in Mathematics requires all third grade students to know&#8230;<\/p>\n<p class=\"read-more\"><a class=\"btn btn-default\" href=\"https:\/\/www.familymathnight.com\/blog\/?p=3187\"> Read More<span class=\"screen-reader-text\">  Read More<\/span><\/a><\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"categories":[123,47,56,76,46,54,51,44,53,49,52,45],"tags":[102,168,167,166,81,21,22],"class_list":["post-3187","post","type-post","status-publish","format-standard","hentry","category-activities","category-algebra","category-algebra-kids-and-math-3-5","category-family-math-night-2","category-geometry","category-geometry-kids-and-math-3-5","category-kids-and-math-3-5","category-kids-and-math","category-measurement-kids-and-math-3-5","category-measurement","category-number-and-operations","category-number-sense","tag-common-core-state-standards","tag-commutative-property-of-multiplication","tag-congruence","tag-distributive-property","tag-family-math-night-activities","tag-karyn-hodgens","tag-kidnexions"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.1.1 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Multiplication Facts and the Distributive Property - Karyn&#039;s Blog<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.familymathnight.com\/blog\/?p=3187\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Multiplication Facts and the Distributive Property - Karyn&#039;s Blog\" \/>\n<meta property=\"og:description\" content=\"Mathematical properties are actually quite useful when it comes to making sense of math. For example, the commutative property of addition helps make adding numbers a little easier. If we know that the order the numbers are added does not matter, then in the problem 2 + 9, adding the 2 onto the 9 is easier and more efficient than adding the 9 onto the 2. The Common Core State Standards in Mathematics requires all third grade students to know... 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