{"id":1018,"date":"2021-03-20T00:39:05","date_gmt":"2021-03-20T07:39:05","guid":{"rendered":"https:\/\/hailstonesequence.com\/?p=1018"},"modified":"2022-08-06T11:18:38","modified_gmt":"2022-08-06T18:18:38","slug":"fraction-talks","status":"publish","type":"post","link":"https:\/\/hailstonesequence.com\/index.php\/2021\/03\/20\/fraction-talks\/","title":{"rendered":"Fraction Talks"},"content":{"rendered":"\n<p>I came across this problem a few years ago and love using it as a Warm Up.  Hoo boy, does it elicit major misconceptions my middle school kids have about fractions.  (Edit: These are called number searches. You can find more <a href=\"https:\/\/photos.google.com\/share\/AF1QipPUhHweMG3cpSQ2CRL0scB2KtIKi2D6UFLrLtVuBNpr_z-UWsqce6nzZGmkWi5UWA?key=QlZfb2Rtd05vbXRiVklUSldiUGVTSVMxd2hINXJn\" data-type=\"URL\" data-id=\"https:\/\/photos.google.com\/share\/AF1QipPUhHweMG3cpSQ2CRL0scB2KtIKi2D6UFLrLtVuBNpr_z-UWsqce6nzZGmkWi5UWA?key=QlZfb2Rtd05vbXRiVklUSldiUGVTSVMxd2hINXJn\" target=\"_blank\" rel=\"noreferrer noopener\">here<\/a>!)<\/p>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"723\" height=\"287\" src=\"https:\/\/i0.wp.com\/hailstonesequence.com\/wp-content\/uploads\/2021\/03\/Screen-Shot-2021-03-20-at-12.21.15-AM.png?resize=723%2C287&#038;ssl=1\" alt=\"\" class=\"wp-image-1020\" srcset=\"https:\/\/i0.wp.com\/hailstonesequence.com\/wp-content\/uploads\/2021\/03\/Screen-Shot-2021-03-20-at-12.21.15-AM.png?resize=1024%2C407&amp;ssl=1 1024w, https:\/\/i0.wp.com\/hailstonesequence.com\/wp-content\/uploads\/2021\/03\/Screen-Shot-2021-03-20-at-12.21.15-AM.png?resize=300%2C119&amp;ssl=1 300w, https:\/\/i0.wp.com\/hailstonesequence.com\/wp-content\/uploads\/2021\/03\/Screen-Shot-2021-03-20-at-12.21.15-AM.png?resize=768%2C305&amp;ssl=1 768w, https:\/\/i0.wp.com\/hailstonesequence.com\/wp-content\/uploads\/2021\/03\/Screen-Shot-2021-03-20-at-12.21.15-AM.png?resize=1536%2C611&amp;ssl=1 1536w, https:\/\/i0.wp.com\/hailstonesequence.com\/wp-content\/uploads\/2021\/03\/Screen-Shot-2021-03-20-at-12.21.15-AM.png?resize=754%2C300&amp;ssl=1 754w, https:\/\/i0.wp.com\/hailstonesequence.com\/wp-content\/uploads\/2021\/03\/Screen-Shot-2021-03-20-at-12.21.15-AM.png?w=1680&amp;ssl=1 1680w, https:\/\/i0.wp.com\/hailstonesequence.com\/wp-content\/uploads\/2021\/03\/Screen-Shot-2021-03-20-at-12.21.15-AM.png?w=1446&amp;ssl=1 1446w\" sizes=\"auto, (max-width: 723px) 100vw, 723px\" data-recalc-dims=\"1\" \/><\/figure>\n<\/div>\n<\/div>\n\n\n\n<p>  My 7th graders really struggled with it at first. I told them the dark blue rectangle was one whole and they just couldn&#8217;t wrap their head around it. Thinking of the lime green as a whole was more accessible so we ran with that. I love that it is open-ended and kids can take it to different depths. <\/p>\n\n\n\n<p>It&#8217;s the only one I&#8217;ve found like it, so I&#8217;ve been itching to create my own. I came up with these: <\/p>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"360\" height=\"360\" src=\"https:\/\/i0.wp.com\/hailstonesequence.com\/wp-content\/uploads\/2021\/03\/Fraction-Talk-5-01.png?resize=360%2C360&#038;ssl=1\" alt=\"\" class=\"wp-image-1023\" srcset=\"https:\/\/i0.wp.com\/hailstonesequence.com\/wp-content\/uploads\/2021\/03\/Fraction-Talk-5-01.png?w=360&amp;ssl=1 360w, https:\/\/i0.wp.com\/hailstonesequence.com\/wp-content\/uploads\/2021\/03\/Fraction-Talk-5-01.png?resize=300%2C300&amp;ssl=1 300w, https:\/\/i0.wp.com\/hailstonesequence.com\/wp-content\/uploads\/2021\/03\/Fraction-Talk-5-01.png?resize=150%2C150&amp;ssl=1 150w, https:\/\/i0.wp.com\/hailstonesequence.com\/wp-content\/uploads\/2021\/03\/Fraction-Talk-5-01.png?resize=60%2C60&amp;ssl=1 60w\" sizes=\"auto, (max-width: 360px) 100vw, 360px\" data-recalc-dims=\"1\" \/><\/figure>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-large is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/i0.wp.com\/hailstonesequence.com\/wp-content\/uploads\/2021\/03\/Fraction-Talk-8-01.png?resize=401%2C286&#038;ssl=1\" alt=\"\" class=\"wp-image-1024\" width=\"401\" height=\"286\" srcset=\"https:\/\/i0.wp.com\/hailstonesequence.com\/wp-content\/uploads\/2021\/03\/Fraction-Talk-8-01.png?w=504&amp;ssl=1 504w, https:\/\/i0.wp.com\/hailstonesequence.com\/wp-content\/uploads\/2021\/03\/Fraction-Talk-8-01.png?resize=300%2C214&amp;ssl=1 300w, https:\/\/i0.wp.com\/hailstonesequence.com\/wp-content\/uploads\/2021\/03\/Fraction-Talk-8-01.png?resize=420%2C300&amp;ssl=1 420w\" sizes=\"auto, (max-width: 401px) 100vw, 401px\" data-recalc-dims=\"1\" \/><\/figure>\n<\/div>\n<\/div>\n\n\n\n<p>I also created some more traditional fraction talk images, inspired by  Nat Banting&#8217;s site, <a rel=\"noreferrer noopener\" href=\"http:\/\/fractiontalks.com\/\" target=\"_blank\">fractiontalks.com<\/a>. He has great tips for implementing and extending fraction talks. <\/p>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"288\" height=\"288\" src=\"https:\/\/i0.wp.com\/hailstonesequence.com\/wp-content\/uploads\/2021\/03\/Fraction-Talk-6-01-1.png?resize=288%2C288&#038;ssl=1\" alt=\"\" class=\"wp-image-1027\" srcset=\"https:\/\/i0.wp.com\/hailstonesequence.com\/wp-content\/uploads\/2021\/03\/Fraction-Talk-6-01-1.png?w=288&amp;ssl=1 288w, https:\/\/i0.wp.com\/hailstonesequence.com\/wp-content\/uploads\/2021\/03\/Fraction-Talk-6-01-1.png?resize=150%2C150&amp;ssl=1 150w, https:\/\/i0.wp.com\/hailstonesequence.com\/wp-content\/uploads\/2021\/03\/Fraction-Talk-6-01-1.png?resize=60%2C60&amp;ssl=1 60w\" sizes=\"auto, (max-width: 288px) 100vw, 288px\" data-recalc-dims=\"1\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-large is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/i0.wp.com\/hailstonesequence.com\/wp-content\/uploads\/2021\/03\/Fraction-Talk-2-1.png?resize=301%2C301&#038;ssl=1\" alt=\"\" class=\"wp-image-1029\" width=\"301\" height=\"301\" srcset=\"https:\/\/i0.wp.com\/hailstonesequence.com\/wp-content\/uploads\/2021\/03\/Fraction-Talk-2-1.png?w=360&amp;ssl=1 360w, https:\/\/i0.wp.com\/hailstonesequence.com\/wp-content\/uploads\/2021\/03\/Fraction-Talk-2-1.png?resize=300%2C300&amp;ssl=1 300w, https:\/\/i0.wp.com\/hailstonesequence.com\/wp-content\/uploads\/2021\/03\/Fraction-Talk-2-1.png?resize=150%2C150&amp;ssl=1 150w, https:\/\/i0.wp.com\/hailstonesequence.com\/wp-content\/uploads\/2021\/03\/Fraction-Talk-2-1.png?resize=60%2C60&amp;ssl=1 60w\" sizes=\"auto, (max-width: 301px) 100vw, 301px\" data-recalc-dims=\"1\" \/><\/figure>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-large is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/i0.wp.com\/hailstonesequence.com\/wp-content\/uploads\/2021\/03\/Fraction-Talk-7-01-1.png?resize=290%2C290&#038;ssl=1\" alt=\"\" class=\"wp-image-1028\" width=\"290\" height=\"290\" srcset=\"https:\/\/i0.wp.com\/hailstonesequence.com\/wp-content\/uploads\/2021\/03\/Fraction-Talk-7-01-1.png?w=288&amp;ssl=1 288w, https:\/\/i0.wp.com\/hailstonesequence.com\/wp-content\/uploads\/2021\/03\/Fraction-Talk-7-01-1.png?resize=150%2C150&amp;ssl=1 150w, https:\/\/i0.wp.com\/hailstonesequence.com\/wp-content\/uploads\/2021\/03\/Fraction-Talk-7-01-1.png?resize=60%2C60&amp;ssl=1 60w\" sizes=\"auto, (max-width: 290px) 100vw, 290px\" data-recalc-dims=\"1\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-large is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/i0.wp.com\/hailstonesequence.com\/wp-content\/uploads\/2021\/03\/Fraction-Talk-1-1.png?resize=301%2C301&#038;ssl=1\" alt=\"\" class=\"wp-image-1030\" width=\"301\" height=\"301\" srcset=\"https:\/\/i0.wp.com\/hailstonesequence.com\/wp-content\/uploads\/2021\/03\/Fraction-Talk-1-1.png?w=506&amp;ssl=1 506w, https:\/\/i0.wp.com\/hailstonesequence.com\/wp-content\/uploads\/2021\/03\/Fraction-Talk-1-1.png?resize=300%2C300&amp;ssl=1 300w, https:\/\/i0.wp.com\/hailstonesequence.com\/wp-content\/uploads\/2021\/03\/Fraction-Talk-1-1.png?resize=150%2C150&amp;ssl=1 150w, https:\/\/i0.wp.com\/hailstonesequence.com\/wp-content\/uploads\/2021\/03\/Fraction-Talk-1-1.png?resize=450%2C450&amp;ssl=1 450w, https:\/\/i0.wp.com\/hailstonesequence.com\/wp-content\/uploads\/2021\/03\/Fraction-Talk-1-1.png?resize=60%2C60&amp;ssl=1 60w\" sizes=\"auto, (max-width: 301px) 100vw, 301px\" data-recalc-dims=\"1\" \/><\/figure>\n<\/div>\n<\/div>\n\n\n\n<p>I&#8217;ve put them all into a <a rel=\"noreferrer noopener\" href=\"https:\/\/docs.google.com\/presentation\/d\/1uKZNo3eL4YKRymrQIefaSi3tZFyMHW-uJbywFK34QjM\/edit?usp=sharing\" data-type=\"URL\" data-id=\"https:\/\/docs.google.com\/presentation\/d\/1uKZNo3eL4YKRymrQIefaSi3tZFyMHW-uJbywFK34QjM\/edit?usp=sharing\" target=\"_blank\">google slideshow<\/a> for easy use. After getting some feedback, I modified them to improve their accessibility for folks with colorblindness.<\/p>\n\n\n\n<p> <\/p>\n\n\n\n<p><\/p>\n\n\n\n<p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>I came across this problem a few years ago and love using it as a Warm Up. Hoo boy, does it elicit major misconceptions my middle school kids have about fractions. (Edit: These are called number searches. You can find more here!) My 7th graders really struggled with it at first. I told them the [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":1049,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"advanced_seo_description":"","jetpack_seo_html_title":"","jetpack_seo_noindex":false,"jetpack_post_was_ever_published":false,"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[2,3,97,13],"tags":[101,99,98,212,100,76],"class_list":["post-1018","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-6th-grade-math","category-7th-grade-math","category-number-sense","category-warm-up","tag-area","tag-fraction-talks","tag-fractions","tag-number-search","tag-number-talks","tag-warm-ups"],"jetpack_featured_media_url":"https:\/\/i0.wp.com\/hailstonesequence.com\/wp-content\/uploads\/2021\/03\/Screen-Shot-2021-03-21-at-3.16.53-PM.png?fit=1108%2C1100&ssl=1","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/hailstonesequence.com\/index.php\/wp-json\/wp\/v2\/posts\/1018","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/hailstonesequence.com\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/hailstonesequence.com\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/hailstonesequence.com\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/hailstonesequence.com\/index.php\/wp-json\/wp\/v2\/comments?post=1018"}],"version-history":[{"count":5,"href":"https:\/\/hailstonesequence.com\/index.php\/wp-json\/wp\/v2\/posts\/1018\/revisions"}],"predecessor-version":[{"id":1432,"href":"https:\/\/hailstonesequence.com\/index.php\/wp-json\/wp\/v2\/posts\/1018\/revisions\/1432"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/hailstonesequence.com\/index.php\/wp-json\/wp\/v2\/media\/1049"}],"wp:attachment":[{"href":"https:\/\/hailstonesequence.com\/index.php\/wp-json\/wp\/v2\/media?parent=1018"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/hailstonesequence.com\/index.php\/wp-json\/wp\/v2\/categories?post=1018"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/hailstonesequence.com\/index.php\/wp-json\/wp\/v2\/tags?post=1018"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}