{"id":584,"date":"2017-12-03T18:18:25","date_gmt":"2017-12-03T23:18:25","guid":{"rendered":"https:\/\/mathisvisual.com\/?p=584"},"modified":"2018-05-21T06:52:05","modified_gmt":"2018-05-21T11:52:05","slug":"unitizing","status":"publish","type":"post","link":"https:\/\/mathisvisual.com\/unitizing\/","title":{"rendered":"Unitizing &#8211; Principles of Counting and Quantity"},"content":{"rendered":"<p><iframe loading=\"lazy\" width=\"1104\" height=\"621\" src=\"https:\/\/www.youtube.com\/embed\/nuQIs_JSJA0?wmode=transparent&amp;rel=0&amp;feature=oembed\" frameborder=\"0\" allow=\"autoplay; encrypted-media\" allowfullscreen><\/iframe><\/p>\n<p><strong>Unitizing<\/strong> is the counting and quantity principle that refers to the understanding that you can count a large group of items by counting smaller, equal groups of items from within the large group.<\/p>\n<p><strong>Unitizing<\/strong> is area of struggle for middle and high school students that often goes undetected.<br \/>\n<a href=\"https:\/\/tapintoteenminds.com\/counting-principles-counting-and-cardinality\/\" target=\"_blank\" rel=\"noopener\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter\" src=\"https:\/\/gallery.mailchimp.com\/22f9129bbf\/images\/8d4c5295-c190-40f6-b77f-0d8684139a86.gif\" width=\"360\" height=\"202\" data-file-id=\"4391797\" \/><\/a><\/p>\n<p>This is a pretty heavy concept. When we first learn how to count, we are counting individual objects which are all relative to one and thus we sort of ignore it to avoid redundancy and unneeded complexity at that time. But when we start to make equal groups and count those groups for place value, skip counting, and eventually <a href=\"https:\/\/tapintoteenminds.com\/progression-of-multiplication\">multiplication<\/a>, things get complex fast and it all starts with the ability to <strong>unitize<\/strong>.<br \/>\n<a href=\"https:\/\/tapintoteenminds.com\/counting-principles-counting-and-cardinality\/\" target=\"_blank\" rel=\"noopener\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter\" src=\"https:\/\/gallery.mailchimp.com\/22f9129bbf\/images\/4597cd3c-ac4c-4df2-b1b6-aec813169db6.gif\" width=\"360\" height=\"202\" data-file-id=\"4391801\" \/><\/a><\/p>\n<div>So you think that some of your middle or high school students are struggling with number sense? Maybe heading back to <strong>unitizing<\/strong> and the other counting and quantity principles could be helpful during some of your warm-up routines.<\/p>\n<p>Luckily, I have a whole playlist of\u00a0<a href=\"https:\/\/mathisvisual.com\/series\/counting-principles\/\" target=\"_blank\" rel=\"noopener\">Counting and Quantity Principle\u00a0posts<\/a>\u00a0you can access right now.<\/div>\n<p>For a full summary of unitizing and all the other counting principles, <a href=\"https:\/\/tapintoteenminds.com\/counting-principles-counting-and-cardinality\/\">read the original blog post<\/a>\u00a0from my personal blog, Tap Into Teen Minds.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Unitizing is the understanding that you can count a large group of items by counting smaller, equal groups of items from within the large group.<\/p>\n","protected":false},"author":1,"featured_media":633,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"video","meta":{"footnotes":""},"categories":[23],"tags":[24],"series":[46],"class_list":["post-584","post","type-post","status-publish","format-video","has-post-thumbnail","hentry","category-number","tag-counting","post_format-post-format-video","series-counting-and-quantity"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.1.1 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Unitizing - Principles of Counting and Quantity - Math Is Visual<\/title>\n<meta name=\"description\" content=\"Unitizing is the understanding that you can count a large group of items by counting smaller, equal groups of items from within the large group.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/mathisvisual.com\/unitizing\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Unitizing - Principles of Counting and Quantity - Math Is Visual\" \/>\n<meta property=\"og:description\" content=\"Unitizing is the understanding that you can count a large group of items by counting smaller, equal groups of items from within the large group.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/mathisvisual.com\/unitizing\/\" \/>\n<meta property=\"og:site_name\" content=\"Math Is Visual\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/mathisvisual\" \/>\n<meta property=\"article:published_time\" content=\"2017-12-03T23:18:25+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2018-05-21T11:52:05+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Counting-and-Quantity-Principles-10-Unitizing.jpeg\" \/>\n\t<meta property=\"og:image:width\" content=\"1920\" \/>\n\t<meta property=\"og:image:height\" content=\"1080\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/jpeg\" \/>\n<meta name=\"author\" content=\"kylepearce3\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:creator\" content=\"@mathisvisual\" \/>\n<meta name=\"twitter:site\" content=\"@mathisvisual\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"kylepearce3\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"1 minute\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\/\/mathisvisual.com\/unitizing\/#article\",\"isPartOf\":{\"@id\":\"https:\/\/mathisvisual.com\/unitizing\/\"},\"author\":{\"name\":\"kylepearce3\",\"@id\":\"https:\/\/mathisvisual.com\/#\/schema\/person\/b47a49936e6a402ef530c1d283550a6e\"},\"headline\":\"Unitizing &#8211; Principles of Counting and Quantity\",\"datePublished\":\"2017-12-03T23:18:25+00:00\",\"dateModified\":\"2018-05-21T11:52:05+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\/\/mathisvisual.com\/unitizing\/\"},\"wordCount\":213,\"commentCount\":3,\"image\":{\"@id\":\"https:\/\/mathisvisual.com\/unitizing\/#primaryimage\"},\"thumbnailUrl\":\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Counting-and-Quantity-Principles-10-Unitizing.jpeg\",\"keywords\":[\"Counting and Quantity Principles\"],\"articleSection\":[\"Number Sense\"],\"inLanguage\":\"en-CA\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"https:\/\/mathisvisual.com\/unitizing\/#respond\"]}]},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/mathisvisual.com\/unitizing\/\",\"url\":\"https:\/\/mathisvisual.com\/unitizing\/\",\"name\":\"Unitizing - Principles of Counting and Quantity - Math Is Visual\",\"isPartOf\":{\"@id\":\"https:\/\/mathisvisual.com\/#website\"},\"primaryImageOfPage\":{\"@id\":\"https:\/\/mathisvisual.com\/unitizing\/#primaryimage\"},\"image\":{\"@id\":\"https:\/\/mathisvisual.com\/unitizing\/#primaryimage\"},\"thumbnailUrl\":\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Counting-and-Quantity-Principles-10-Unitizing.jpeg\",\"datePublished\":\"2017-12-03T23:18:25+00:00\",\"dateModified\":\"2018-05-21T11:52:05+00:00\",\"author\":{\"@id\":\"https:\/\/mathisvisual.com\/#\/schema\/person\/b47a49936e6a402ef530c1d283550a6e\"},\"description\":\"Unitizing is the understanding that you can count a large group of items by counting smaller, equal groups of items from within the large group.\",\"breadcrumb\":{\"@id\":\"https:\/\/mathisvisual.com\/unitizing\/#breadcrumb\"},\"inLanguage\":\"en-CA\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/mathisvisual.com\/unitizing\/\"]}]},{\"@type\":\"ImageObject\",\"inLanguage\":\"en-CA\",\"@id\":\"https:\/\/mathisvisual.com\/unitizing\/#primaryimage\",\"url\":\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Counting-and-Quantity-Principles-10-Unitizing.jpeg\",\"contentUrl\":\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Counting-and-Quantity-Principles-10-Unitizing.jpeg\",\"width\":1920,\"height\":1080,\"caption\":\"Counting and Quantity Principles - Unitizing\"},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/mathisvisual.com\/unitizing\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/mathisvisual.com\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Unitizing &#8211; Principles of Counting and Quantity\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/mathisvisual.com\/#website\",\"url\":\"https:\/\/mathisvisual.com\/\",\"name\":\"Math Is Visual\",\"description\":\"Let&#039;s teach it that way.\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/mathisvisual.com\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"en-CA\"},{\"@type\":\"Person\",\"@id\":\"https:\/\/mathisvisual.com\/#\/schema\/person\/b47a49936e6a402ef530c1d283550a6e\",\"name\":\"kylepearce3\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"en-CA\",\"@id\":\"https:\/\/mathisvisual.com\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/secure.gravatar.com\/avatar\/793650925788278dc82a6c7461d8fa6fff2e7680c114f04295ad0479a8ca15c9?s=96&d=mm&r=g\",\"contentUrl\":\"https:\/\/secure.gravatar.com\/avatar\/793650925788278dc82a6c7461d8fa6fff2e7680c114f04295ad0479a8ca15c9?s=96&d=mm&r=g\",\"caption\":\"kylepearce3\"}}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"Unitizing - Principles of Counting and Quantity - Math Is Visual","description":"Unitizing is the understanding that you can count a large group of items by counting smaller, equal groups of items from within the large group.","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/mathisvisual.com\/unitizing\/","og_locale":"en_US","og_type":"article","og_title":"Unitizing - Principles of Counting and Quantity - Math Is Visual","og_description":"Unitizing is the understanding that you can count a large group of items by counting smaller, equal groups of items from within the large group.","og_url":"https:\/\/mathisvisual.com\/unitizing\/","og_site_name":"Math Is Visual","article_publisher":"https:\/\/www.facebook.com\/mathisvisual","article_published_time":"2017-12-03T23:18:25+00:00","article_modified_time":"2018-05-21T11:52:05+00:00","og_image":[{"width":1920,"height":1080,"url":"https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Counting-and-Quantity-Principles-10-Unitizing.jpeg","type":"image\/jpeg"}],"author":"kylepearce3","twitter_card":"summary_large_image","twitter_creator":"@mathisvisual","twitter_site":"@mathisvisual","twitter_misc":{"Written by":"kylepearce3","Est. reading time":"1 minute"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Article","@id":"https:\/\/mathisvisual.com\/unitizing\/#article","isPartOf":{"@id":"https:\/\/mathisvisual.com\/unitizing\/"},"author":{"name":"kylepearce3","@id":"https:\/\/mathisvisual.com\/#\/schema\/person\/b47a49936e6a402ef530c1d283550a6e"},"headline":"Unitizing &#8211; Principles of Counting and Quantity","datePublished":"2017-12-03T23:18:25+00:00","dateModified":"2018-05-21T11:52:05+00:00","mainEntityOfPage":{"@id":"https:\/\/mathisvisual.com\/unitizing\/"},"wordCount":213,"commentCount":3,"image":{"@id":"https:\/\/mathisvisual.com\/unitizing\/#primaryimage"},"thumbnailUrl":"https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Counting-and-Quantity-Principles-10-Unitizing.jpeg","keywords":["Counting and Quantity Principles"],"articleSection":["Number Sense"],"inLanguage":"en-CA","potentialAction":[{"@type":"CommentAction","name":"Comment","target":["https:\/\/mathisvisual.com\/unitizing\/#respond"]}]},{"@type":"WebPage","@id":"https:\/\/mathisvisual.com\/unitizing\/","url":"https:\/\/mathisvisual.com\/unitizing\/","name":"Unitizing - Principles of Counting and Quantity - Math Is Visual","isPartOf":{"@id":"https:\/\/mathisvisual.com\/#website"},"primaryImageOfPage":{"@id":"https:\/\/mathisvisual.com\/unitizing\/#primaryimage"},"image":{"@id":"https:\/\/mathisvisual.com\/unitizing\/#primaryimage"},"thumbnailUrl":"https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Counting-and-Quantity-Principles-10-Unitizing.jpeg","datePublished":"2017-12-03T23:18:25+00:00","dateModified":"2018-05-21T11:52:05+00:00","author":{"@id":"https:\/\/mathisvisual.com\/#\/schema\/person\/b47a49936e6a402ef530c1d283550a6e"},"description":"Unitizing is the understanding that you can count a large group of items by counting smaller, equal groups of items from within the large group.","breadcrumb":{"@id":"https:\/\/mathisvisual.com\/unitizing\/#breadcrumb"},"inLanguage":"en-CA","potentialAction":[{"@type":"ReadAction","target":["https:\/\/mathisvisual.com\/unitizing\/"]}]},{"@type":"ImageObject","inLanguage":"en-CA","@id":"https:\/\/mathisvisual.com\/unitizing\/#primaryimage","url":"https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Counting-and-Quantity-Principles-10-Unitizing.jpeg","contentUrl":"https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Counting-and-Quantity-Principles-10-Unitizing.jpeg","width":1920,"height":1080,"caption":"Counting and Quantity Principles - Unitizing"},{"@type":"BreadcrumbList","@id":"https:\/\/mathisvisual.com\/unitizing\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/mathisvisual.com\/"},{"@type":"ListItem","position":2,"name":"Unitizing &#8211; Principles of Counting and Quantity"}]},{"@type":"WebSite","@id":"https:\/\/mathisvisual.com\/#website","url":"https:\/\/mathisvisual.com\/","name":"Math Is Visual","description":"Let&#039;s teach it that way.","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/mathisvisual.com\/?s={search_term_string}"},"query-input":{"@type":"PropertyValueSpecification","valueRequired":true,"valueName":"search_term_string"}}],"inLanguage":"en-CA"},{"@type":"Person","@id":"https:\/\/mathisvisual.com\/#\/schema\/person\/b47a49936e6a402ef530c1d283550a6e","name":"kylepearce3","image":{"@type":"ImageObject","inLanguage":"en-CA","@id":"https:\/\/mathisvisual.com\/#\/schema\/person\/image\/","url":"https:\/\/secure.gravatar.com\/avatar\/793650925788278dc82a6c7461d8fa6fff2e7680c114f04295ad0479a8ca15c9?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/793650925788278dc82a6c7461d8fa6fff2e7680c114f04295ad0479a8ca15c9?s=96&d=mm&r=g","caption":"kylepearce3"}}]}},"_links":{"self":[{"href":"https:\/\/mathisvisual.com\/wp-json\/wp\/v2\/posts\/584","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mathisvisual.com\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mathisvisual.com\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mathisvisual.com\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/mathisvisual.com\/wp-json\/wp\/v2\/comments?post=584"}],"version-history":[{"count":3,"href":"https:\/\/mathisvisual.com\/wp-json\/wp\/v2\/posts\/584\/revisions"}],"predecessor-version":[{"id":956,"href":"https:\/\/mathisvisual.com\/wp-json\/wp\/v2\/posts\/584\/revisions\/956"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/mathisvisual.com\/wp-json\/wp\/v2\/media\/633"}],"wp:attachment":[{"href":"https:\/\/mathisvisual.com\/wp-json\/wp\/v2\/media?parent=584"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mathisvisual.com\/wp-json\/wp\/v2\/categories?post=584"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mathisvisual.com\/wp-json\/wp\/v2\/tags?post=584"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/mathisvisual.com\/wp-json\/wp\/v2\/series?post=584"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}