{"id":148,"date":"2021-12-21T18:02:08","date_gmt":"2021-12-21T18:02:08","guid":{"rendered":"https:\/\/blogs.beaconhouse.net\/441\/?p=148"},"modified":"2021-12-21T18:19:13","modified_gmt":"2021-12-21T18:19:13","slug":"cpa-approach","status":"publish","type":"post","link":"https:\/\/blogs.beaconhouse.net\/441\/cpa-approach\/","title":{"rendered":"CPA Approach in math"},"content":{"rendered":"<p style=\"text-align: left\">Mathematics is an interconnected subject in which children need to be able to make connections across mathematical ideas. This enables them to develop fluency, mathematical reasoning and problem-solving skills.<\/p>\n<p>Concrete-Pictorial-Abstract (CPA) approach Rising Stars Mathematics is based on the belief that mathematical understanding is developed through using concrete, pictorial and abstract (or symbolic) representations. Children will travel along this continuum again and again, often revisiting previous stages when a concept is extended.<\/p>\n<p><strong>CONCRETE\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 <img loading=\"lazy\" decoding=\"async\" class=\"\" src=\"https:\/\/lh3.googleusercontent.com\/proxy\/Z0esbBdaJk0RYByEh4CdgqsykdVqesqzDycgrPQAH_3TMH7Fe0cdeJPV8g5fqCWc7IWvqwnQPH61LoYDR1g_vmXB\" alt=\"Free Unifix Blocks Cliparts, Download Free Unifix Blocks Cliparts png images, Free ClipArts on Clipart Library\" width=\"64\" height=\"64\" \/><\/strong><\/p>\n<p>Children use concrete objects to help them make sense of the concept or problem. This could be anything from real or plastic fruit, to straws, counters, cubes or something else meaningful.<\/p>\n<p><strong>PICTORIAL\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0<img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-154\" src=\"http:\/\/blogs.beaconhouse.net\/441\/wp-content\/uploads\/sites\/40\/2021\/12\/p08pm0gf-300x167.png\" alt=\"\" width=\"95\" height=\"53\" srcset=\"https:\/\/blogs.beaconhouse.net\/441\/wp-content\/uploads\/sites\/40\/2021\/12\/p08pm0gf-300x167.png 300w, https:\/\/blogs.beaconhouse.net\/441\/wp-content\/uploads\/sites\/40\/2021\/12\/p08pm0gf.png 448w\" sizes=\"auto, (max-width: 95px) 100vw, 95px\" \/>\u00a0<\/strong><\/p>\n<p>As the child\u2019s experience and confidence grows, they may no longer need physical objects to actually move around. Instead, they draw them. These simple pictures to represent the problem could be pictures of real objects they have used in the past, objects mentioned in the problem or something else meaningful.<\/p>\n<p><strong>ABSTRACT\u00a0 \u00a0 <img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-157\" src=\"http:\/\/blogs.beaconhouse.net\/441\/wp-content\/uploads\/sites\/40\/2021\/12\/2.png\" alt=\"\" width=\"81\" height=\"89\" \/><\/strong><\/p>\n<p>As understanding develops, children move on to use some form of abstract representation.\u00a0Solving math problems using only numbers.<\/p>\n<p>&nbsp;<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-159 aligncenter\" src=\"http:\/\/blogs.beaconhouse.net\/441\/wp-content\/uploads\/sites\/40\/2021\/12\/CPA-1-300x300.png\" alt=\"\" width=\"495\" height=\"495\" srcset=\"https:\/\/blogs.beaconhouse.net\/441\/wp-content\/uploads\/sites\/40\/2021\/12\/CPA-1-300x300.png 300w, https:\/\/blogs.beaconhouse.net\/441\/wp-content\/uploads\/sites\/40\/2021\/12\/CPA-1-1024x1024.png 1024w, https:\/\/blogs.beaconhouse.net\/441\/wp-content\/uploads\/sites\/40\/2021\/12\/CPA-1-150x150.png 150w, https:\/\/blogs.beaconhouse.net\/441\/wp-content\/uploads\/sites\/40\/2021\/12\/CPA-1-768x769.png 768w, https:\/\/blogs.beaconhouse.net\/441\/wp-content\/uploads\/sites\/40\/2021\/12\/CPA-1.png 1502w\" sizes=\"auto, (max-width: 495px) 100vw, 495px\" \/><\/p>\n<p>&nbsp;<\/p>\n<p><strong>Partitioning:<\/strong><\/p>\n<p>Class I students used CPA approach to do partitioning, They used cubes and base ten material as concrete resources and used Partitioning Circles as pictorial resources.\u00a0 Partitioning is a way of splitting numbers into smaller parts to make them easier to work with.<\/p>\n<p>&nbsp;<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\" wp-image-169 aligncenter\" src=\"http:\/\/blogs.beaconhouse.net\/441\/wp-content\/uploads\/sites\/40\/2021\/12\/DSC02152-300x200.jpg\" alt=\"\" width=\"480\" height=\"320\" srcset=\"https:\/\/blogs.beaconhouse.net\/441\/wp-content\/uploads\/sites\/40\/2021\/12\/DSC02152-300x200.jpg 300w, https:\/\/blogs.beaconhouse.net\/441\/wp-content\/uploads\/sites\/40\/2021\/12\/DSC02152-1024x683.jpg 1024w, https:\/\/blogs.beaconhouse.net\/441\/wp-content\/uploads\/sites\/40\/2021\/12\/DSC02152-768x512.jpg 768w, https:\/\/blogs.beaconhouse.net\/441\/wp-content\/uploads\/sites\/40\/2021\/12\/DSC02152-1536x1024.jpg 1536w, https:\/\/blogs.beaconhouse.net\/441\/wp-content\/uploads\/sites\/40\/2021\/12\/DSC02152-2048x1365.jpg 2048w, https:\/\/blogs.beaconhouse.net\/441\/wp-content\/uploads\/sites\/40\/2021\/12\/DSC02152-1568x1045.jpg 1568w\" sizes=\"auto, (max-width: 480px) 100vw, 480px\" \/><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\" wp-image-168 aligncenter\" src=\"http:\/\/blogs.beaconhouse.net\/441\/wp-content\/uploads\/sites\/40\/2021\/12\/DSC02151-300x200.jpg\" alt=\"\" width=\"472\" height=\"315\" srcset=\"https:\/\/blogs.beaconhouse.net\/441\/wp-content\/uploads\/sites\/40\/2021\/12\/DSC02151-300x200.jpg 300w, https:\/\/blogs.beaconhouse.net\/441\/wp-content\/uploads\/sites\/40\/2021\/12\/DSC02151-1024x683.jpg 1024w, https:\/\/blogs.beaconhouse.net\/441\/wp-content\/uploads\/sites\/40\/2021\/12\/DSC02151-768x512.jpg 768w, https:\/\/blogs.beaconhouse.net\/441\/wp-content\/uploads\/sites\/40\/2021\/12\/DSC02151-1536x1024.jpg 1536w, https:\/\/blogs.beaconhouse.net\/441\/wp-content\/uploads\/sites\/40\/2021\/12\/DSC02151-2048x1365.jpg 2048w, https:\/\/blogs.beaconhouse.net\/441\/wp-content\/uploads\/sites\/40\/2021\/12\/DSC02151-1568x1045.jpg 1568w\" sizes=\"auto, (max-width: 472px) 100vw, 472px\" \/><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\" wp-image-167 aligncenter\" src=\"http:\/\/blogs.beaconhouse.net\/441\/wp-content\/uploads\/sites\/40\/2021\/12\/DSC02147-300x200.jpg\" alt=\"\" width=\"491\" height=\"327\" srcset=\"https:\/\/blogs.beaconhouse.net\/441\/wp-content\/uploads\/sites\/40\/2021\/12\/DSC02147-300x200.jpg 300w, https:\/\/blogs.beaconhouse.net\/441\/wp-content\/uploads\/sites\/40\/2021\/12\/DSC02147-1024x683.jpg 1024w, https:\/\/blogs.beaconhouse.net\/441\/wp-content\/uploads\/sites\/40\/2021\/12\/DSC02147-768x512.jpg 768w, https:\/\/blogs.beaconhouse.net\/441\/wp-content\/uploads\/sites\/40\/2021\/12\/DSC02147-1536x1024.jpg 1536w, https:\/\/blogs.beaconhouse.net\/441\/wp-content\/uploads\/sites\/40\/2021\/12\/DSC02147-2048x1365.jpg 2048w, https:\/\/blogs.beaconhouse.net\/441\/wp-content\/uploads\/sites\/40\/2021\/12\/DSC02147-1568x1045.jpg 1568w\" sizes=\"auto, (max-width: 491px) 100vw, 491px\" \/><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\" wp-image-166 aligncenter\" src=\"http:\/\/blogs.beaconhouse.net\/441\/wp-content\/uploads\/sites\/40\/2021\/12\/DSC02144-300x200.jpg\" alt=\"\" width=\"499\" height=\"332\" srcset=\"https:\/\/blogs.beaconhouse.net\/441\/wp-content\/uploads\/sites\/40\/2021\/12\/DSC02144-300x200.jpg 300w, https:\/\/blogs.beaconhouse.net\/441\/wp-content\/uploads\/sites\/40\/2021\/12\/DSC02144-1024x683.jpg 1024w, https:\/\/blogs.beaconhouse.net\/441\/wp-content\/uploads\/sites\/40\/2021\/12\/DSC02144-768x512.jpg 768w, https:\/\/blogs.beaconhouse.net\/441\/wp-content\/uploads\/sites\/40\/2021\/12\/DSC02144-1536x1024.jpg 1536w, https:\/\/blogs.beaconhouse.net\/441\/wp-content\/uploads\/sites\/40\/2021\/12\/DSC02144-2048x1365.jpg 2048w, https:\/\/blogs.beaconhouse.net\/441\/wp-content\/uploads\/sites\/40\/2021\/12\/DSC02144-1568x1045.jpg 1568w\" sizes=\"auto, (max-width: 499px) 100vw, 499px\" \/><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\" wp-image-165 aligncenter\" src=\"http:\/\/blogs.beaconhouse.net\/441\/wp-content\/uploads\/sites\/40\/2021\/12\/DSC02137-300x200.jpg\" alt=\"\" width=\"500\" height=\"334\" srcset=\"https:\/\/blogs.beaconhouse.net\/441\/wp-content\/uploads\/sites\/40\/2021\/12\/DSC02137-300x200.jpg 300w, https:\/\/blogs.beaconhouse.net\/441\/wp-content\/uploads\/sites\/40\/2021\/12\/DSC02137-1024x683.jpg 1024w, https:\/\/blogs.beaconhouse.net\/441\/wp-content\/uploads\/sites\/40\/2021\/12\/DSC02137-768x512.jpg 768w, https:\/\/blogs.beaconhouse.net\/441\/wp-content\/uploads\/sites\/40\/2021\/12\/DSC02137-1536x1024.jpg 1536w, https:\/\/blogs.beaconhouse.net\/441\/wp-content\/uploads\/sites\/40\/2021\/12\/DSC02137-2048x1365.jpg 2048w, https:\/\/blogs.beaconhouse.net\/441\/wp-content\/uploads\/sites\/40\/2021\/12\/DSC02137-1568x1045.jpg 1568w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-162\" src=\"http:\/\/blogs.beaconhouse.net\/441\/wp-content\/uploads\/sites\/40\/2021\/12\/DSC02130-300x200.jpg\" alt=\"\" width=\"497\" height=\"331\" srcset=\"https:\/\/blogs.beaconhouse.net\/441\/wp-content\/uploads\/sites\/40\/2021\/12\/DSC02130-300x200.jpg 300w, https:\/\/blogs.beaconhouse.net\/441\/wp-content\/uploads\/sites\/40\/2021\/12\/DSC02130-1024x683.jpg 1024w, https:\/\/blogs.beaconhouse.net\/441\/wp-content\/uploads\/sites\/40\/2021\/12\/DSC02130-768x512.jpg 768w, https:\/\/blogs.beaconhouse.net\/441\/wp-content\/uploads\/sites\/40\/2021\/12\/DSC02130-1536x1024.jpg 1536w, https:\/\/blogs.beaconhouse.net\/441\/wp-content\/uploads\/sites\/40\/2021\/12\/DSC02130-2048x1365.jpg 2048w, https:\/\/blogs.beaconhouse.net\/441\/wp-content\/uploads\/sites\/40\/2021\/12\/DSC02130-1568x1045.jpg 1568w\" sizes=\"auto, (max-width: 497px) 100vw, 497px\" \/><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\" wp-image-161 aligncenter\" src=\"http:\/\/blogs.beaconhouse.net\/441\/wp-content\/uploads\/sites\/40\/2021\/12\/DSC02128-300x200.jpg\" alt=\"\" width=\"478\" height=\"318\" srcset=\"https:\/\/blogs.beaconhouse.net\/441\/wp-content\/uploads\/sites\/40\/2021\/12\/DSC02128-300x200.jpg 300w, https:\/\/blogs.beaconhouse.net\/441\/wp-content\/uploads\/sites\/40\/2021\/12\/DSC02128-1024x683.jpg 1024w, https:\/\/blogs.beaconhouse.net\/441\/wp-content\/uploads\/sites\/40\/2021\/12\/DSC02128-768x512.jpg 768w, https:\/\/blogs.beaconhouse.net\/441\/wp-content\/uploads\/sites\/40\/2021\/12\/DSC02128-1536x1024.jpg 1536w, https:\/\/blogs.beaconhouse.net\/441\/wp-content\/uploads\/sites\/40\/2021\/12\/DSC02128-2048x1365.jpg 2048w, https:\/\/blogs.beaconhouse.net\/441\/wp-content\/uploads\/sites\/40\/2021\/12\/DSC02128-1568x1045.jpg 1568w\" sizes=\"auto, (max-width: 478px) 100vw, 478px\" \/><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-160\" src=\"http:\/\/blogs.beaconhouse.net\/441\/wp-content\/uploads\/sites\/40\/2021\/12\/DSC02120-300x200.jpg\" alt=\"\" width=\"506\" height=\"338\" srcset=\"https:\/\/blogs.beaconhouse.net\/441\/wp-content\/uploads\/sites\/40\/2021\/12\/DSC02120-300x200.jpg 300w, https:\/\/blogs.beaconhouse.net\/441\/wp-content\/uploads\/sites\/40\/2021\/12\/DSC02120-1024x683.jpg 1024w, https:\/\/blogs.beaconhouse.net\/441\/wp-content\/uploads\/sites\/40\/2021\/12\/DSC02120-768x512.jpg 768w, https:\/\/blogs.beaconhouse.net\/441\/wp-content\/uploads\/sites\/40\/2021\/12\/DSC02120-1536x1024.jpg 1536w, https:\/\/blogs.beaconhouse.net\/441\/wp-content\/uploads\/sites\/40\/2021\/12\/DSC02120-2048x1365.jpg 2048w, https:\/\/blogs.beaconhouse.net\/441\/wp-content\/uploads\/sites\/40\/2021\/12\/DSC02120-1568x1045.jpg 1568w\" sizes=\"auto, (max-width: 506px) 100vw, 506px\" \/><\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Mathematics is an interconnected subject in which children need to be able to make connections across mathematical ideas. This enables&hellip; <a class=\"more-link\" href=\"https:\/\/blogs.beaconhouse.net\/441\/cpa-approach\/\">Continue reading <span class=\"screen-reader-text\">CPA Approach in math<\/span><\/a><\/p>\n","protected":false},"author":203,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[4,2],"tags":[17],"class_list":["post-148","post","type-post","status-publish","format-standard","hentry","category-curriculum-implementation","category-routines","tag-curriculum","entry"],"_links":{"self":[{"href":"https:\/\/blogs.beaconhouse.net\/441\/wp-json\/wp\/v2\/posts\/148","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blogs.beaconhouse.net\/441\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blogs.beaconhouse.net\/441\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blogs.beaconhouse.net\/441\/wp-json\/wp\/v2\/users\/203"}],"replies":[{"embeddable":true,"href":"https:\/\/blogs.beaconhouse.net\/441\/wp-json\/wp\/v2\/comments?post=148"}],"version-history":[{"count":11,"href":"https:\/\/blogs.beaconhouse.net\/441\/wp-json\/wp\/v2\/posts\/148\/revisions"}],"predecessor-version":[{"id":181,"href":"https:\/\/blogs.beaconhouse.net\/441\/wp-json\/wp\/v2\/posts\/148\/revisions\/181"}],"wp:attachment":[{"href":"https:\/\/blogs.beaconhouse.net\/441\/wp-json\/wp\/v2\/media?parent=148"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blogs.beaconhouse.net\/441\/wp-json\/wp\/v2\/categories?post=148"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blogs.beaconhouse.net\/441\/wp-json\/wp\/v2\/tags?post=148"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}