{"id":6472,"date":"2017-01-29T04:02:00","date_gmt":"2017-01-29T04:02:00","guid":{"rendered":"https:\/\/theteacherstudio.com\/2017\/01\/more-fraction-number-lines-more.html"},"modified":"2019-01-31T20:04:37","modified_gmt":"2019-01-31T20:04:37","slug":"more-fraction-number-lines-more","status":"publish","type":"post","link":"https:\/\/theteacherstudio.com\/more-fraction-number-lines-more\/","title":{"rendered":"More Fraction Number Lines:  More Critiquing Reasoning!"},"content":{"rendered":"<div class=\"separator\" style=\"clear: both; text-align: center;\"><a href=\"https:\/\/www.teacherspayteachers.com\/Product\/Number-Sense-with-Number-Lines-Fraction-and-Decimal-Understanding-2956695\"><img fetchpriority=\"high\" decoding=\"async\" class=\"alignnone\" title=\"critique the reasoning of others\" src=\"https:\/\/3.bp.blogspot.com\/-_jeylZ4BQhQ\/WI1iPlkqpvI\/AAAAAAAAY3M\/KvMQ3pWNMoI8-J3_swM1tuvbZUwf6x7OwCLcB\/s640\/fraction%2Bnumber%2Bline%2Bpost%2B2%2BFB%2Bimage.jpg\" alt=\"fraction number lines, critiquing reasoning, teaching fractions, fraction activities, fraction lessons\" width=\"640\" height=\"332\" border=\"0\" \/><\/a><\/div>\n<div class=\"separator\" style=\"clear: both; text-align: left;\">If you missed my post the other day about using number lines to improve fractional reasoning, you might want to take a peek at it before digging into this post! \u00a0Just <a href=\"http:\/\/www.theteacherstudio.com\/2017\/01\/fraction-number-sense-and-math.html\">CLICK HERE<\/a> if you missed it&#8230;because I want you to know that the lesson featured today was not the FIRST time my students had worked with this number lines or critiquing reasoning. This lesson is one that should come after they have had some other experiences using number lines and having conversations about them.<\/div>\n<div class=\"separator\" style=\"clear: both; text-align: left;\"><\/div>\n<h3 class=\"separator\" style=\"clear: both; text-align: left;\">So let&#8217;s dig in!<\/h3>\n<div class=\"separator\" style=\"clear: both; text-align: left;\"><\/div>\n<div class=\"separator\" style=\"clear: both; text-align: left;\">Step one&#8211;present students with a number line task. \u00a0As I mentioned the other day, even a number line task can be simplistic and obvious. \u00a0I am partial to a more &#8220;open&#8221; number line&#8211;where partitions are not already drawn. \u00a0When you include those partitions, you&#8217;ve done so much of the thinking FOR the students! \u00a0Remember, I always ask students to THINK before they pick up their pencil so they have a starting point.<\/div>\n<div class=\"separator\" style=\"clear: both; text-align: center;\"><a href=\"https:\/\/www.teacherspayteachers.com\/Product\/Number-Sense-with-Number-Lines-Fraction-and-Decimal-Understanding-2956695\"><img decoding=\"async\" class=\"alignnone\" title=\"fraction number line\" src=\"https:\/\/3.bp.blogspot.com\/-wSlggWVBJnU\/WIwVecQkEfI\/AAAAAAAAY18\/EzIrRFJCEgwCXzRO0r8veH9KSLNdRCWAQCLcB\/s640\/Photo%2BJan%2B27%252C%2B9%2B45%2B34%2BPM.jpg\" alt=\"fraction number lines, critiquing reasoning, teaching fractions, fraction activities, fraction lessons\" width=\"640\" height=\"480\" border=\"0\" \/><\/a><\/div>\n<p>As students worked, I walked around and checked out their work and hunted for misconceptions. \u00a0I would make note of how they were organizing their work or strategies they used that I thought might be worth talking about. \u00a0In my last post, the next step involved pairing up and having discussions together and coming to consensus. \u00a0Today? \u00a0Not so much!<\/p>\n<div class=\"separator\" style=\"clear: both; text-align: center;\"><a href=\"https:\/\/www.teacherspayteachers.com\/Product\/Number-Sense-with-Number-Lines-Fraction-and-Decimal-Understanding-2956695\"><img decoding=\"async\" class=\"alignnone\" title=\"fraction number line\" src=\"https:\/\/1.bp.blogspot.com\/-ctgzKOHvFN8\/WIwVebZrpbI\/AAAAAAAAY2A\/rc-fEF5Ik1MJeCf53PPJAuB3dp2lBGqjgCLcB\/s640\/Photo%2BJan%2B27%252C%2B9%2B50%2B56%2BPM.jpg\" alt=\"standards for mathematical practice, fraction number lines, critiquing reasoning, teaching fractions, fraction activities, fraction lessons\" width=\"640\" height=\"460\" border=\"0\" \/><\/a><\/div>\n<h3 class=\"separator\" style=\"clear: both; text-align: left;\">Whole class sharing<\/h3>\n<div class=\"separator\" style=\"clear: both; text-align: left;\">My next step was to ask students to come up and place a blue dot on this &#8220;class number line&#8221; to show where they had marked in in their math journal. \u00a0I reminded them to NOT change their answer based on what they see&#8211;because they need to trust their gut!<\/div>\n<div class=\"separator\" style=\"clear: both; text-align: center;\"><a href=\"https:\/\/www.teacherspayteachers.com\/Product\/Number-Sense-with-Number-Lines-Fraction-and-Decimal-Understanding-2956695\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" title=\"teaching fractions\" src=\"https:\/\/1.bp.blogspot.com\/-hSWjh_2-m4w\/WIwVktxgAhI\/AAAAAAAAY2E\/wJmhXhac36YEYckLz1uvrFjEBkDF7A2uACEw\/s640\/Photo%2BJan%2B27%252C%2B9%2B45%2B15%2BPM.jpg\" alt=\"fraction number lines, critiquing reasoning, teaching fractions, fraction activities, fraction lessons\" width=\"640\" height=\"480\" border=\"0\" \/><\/a><\/div>\n<div class=\"separator\" style=\"clear: both; text-align: left;\">By the time all the dots were up, it was time to have a discussion where we &#8220;critiqued the reasoning&#8221; and defended our thinking. \u00a0We had to use math language and vocabulary with our sharing&#8211;so I heard things like&#8230;<\/div>\n<div class=\"separator\" style=\"clear: both; text-align: left;\"><\/div>\n<div class=\"separator\" style=\"clear: both; text-align: left;\">&#8220;The dots on the far left can&#8217;t be accurate because they would really be past 0 and into negative numbers.&#8221;<\/div>\n<div class=\"separator\" style=\"clear: both; text-align: left;\"><\/div>\n<div class=\"separator\" style=\"clear: both; text-align: center;\">and<\/div>\n<div class=\"separator\" style=\"clear: both; text-align: left;\"><\/div>\n<div class=\"separator\" style=\"clear: both; text-align: left;\">&#8220;I think [pointing to a dot] this isn&#8217;t possible because there is no way that you can keep equal parts.&#8221;<\/div>\n<div class=\"separator\" style=\"clear: both; text-align: center;\"><\/div>\n<div class=\"separator\" style=\"clear: both; text-align: center;\">and<\/div>\n<div class=\"separator\" style=\"clear: both; text-align: left;\"><\/div>\n<div class=\"separator\" style=\"clear: both; text-align: left;\">&#8220;It was more clear to me when I put in all the whole numbers so I could find where they 1\/3 really should go.&#8221;<\/div>\n<div class=\"separator\" style=\"clear: both; text-align: center;\"><a href=\"https:\/\/www.teacherspayteachers.com\/Product\/Number-Sense-with-Number-Lines-Fraction-and-Decimal-Understanding-2956695\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" title=\"teaching fractions\" src=\"https:\/\/4.bp.blogspot.com\/-u7698YC-UbE\/WIwVklnksiI\/AAAAAAAAY2M\/0Qq-ZrILzIcEoMbkAWyQoNy8Dkp8vhaGQCLcB\/s640\/Photo%2BJan%2B27%252C%2B9%2B44%2B55%2BPM.jpg\" alt=\"fraction number lines, critiquing reasoning, teaching fractions, fraction activities, fraction lessons\" width=\"640\" height=\"480\" border=\"0\" \/><\/a><\/div>\n<div class=\"separator\" style=\"clear: both; text-align: center;\"><\/div>\n<div class=\"\" style=\"clear: both; text-align: left;\"><a style=\"clear: left; float: left; margin-bottom: 1em; margin-right: 1em;\" href=\"https:\/\/app.convertkit.com\/landing_pages\/325122?v=6\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/3.bp.blogspot.com\/-HaTVZooq1yk\/Wm-9l74pjqI\/AAAAAAAAatk\/HHpW-MQvhmA1hMNduPBfQLw_sdht3MdWwCLcBGAs\/s320\/want%2Bmore%2Bfraction%2Bhelp%2Bbutton%2Bto%2Benter%2Bfraction%2Bsequence.jpg\" width=\"320\" height=\"299\" border=\"0\" data-original-height=\"720\" data-original-width=\"768\" \/><\/a>Some students needed some convincing&#8211;and we had frequent &#8220;turn and talks&#8221; throughout to get EVERYONE involved in discussion the ideas people shared. \u00a0 It was great to see some light bulbs REALLY go off! \u00a0After our discussion, I sent the students back to their notebooks to &#8220;revise&#8221; their thinking if necessary. \u00a0SUPER powerful stuff!<\/div>\n<div class=\"\" style=\"clear: both; text-align: left;\">This was a very nice and quick warm up for our lesson&#8211;and the process can be used not just with number lines but with ANY problem type! \u00a0Stay tuned for another post coming soon with more fraction fun!<\/div>\n<div class=\"\" style=\"clear: both; text-align: left;\"><\/div>\n<div class=\"separator\" style=\"clear: both; text-align: left;\">Want to see the resource that these number line problems are from? \u00a0Lots of different problems and options&#8230;<\/div>\n<div class=\"separator\" style=\"clear: both; text-align: center;\"><a href=\"https:\/\/www.teacherspayteachers.com\/Product\/Number-Sense-with-Number-Lines-Fraction-and-Decimal-Understanding-2956695\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/1.bp.blogspot.com\/--sAvqVEoPys\/WI1H6kkM4XI\/AAAAAAAAY24\/bMbP_kVl3kgQQA2N1X-Ne82Y8zW74kh3QCLcB\/s320\/number%2Bsense%2Bwith%2Bnumber%2Blines%2Bfractions%2Bdecimals%2Bcover.jpg\" width=\"320\" height=\"320\" border=\"0\" \/><\/a><\/div>\n<p>Also available bundled with whole numbers to 1,000 and whole numbers to 1,000,000.<\/p>\n<div class=\"separator\" style=\"clear: both; text-align: center;\"><a href=\"https:\/\/www.teacherspayteachers.com\/Product\/Number-Sense-with-Number-Lines-Grade-3-5-BUNDLE-2957028\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/2.bp.blogspot.com\/-Vx1ZvvSwSRk\/WI1H7rAMX9I\/AAAAAAAAY28\/ol5UCwilxe0x2YipEo_1LLrvp7tQQQcxwCLcB\/s320\/number%2Bline%2Bresource%2Bbundle%2Bcover.jpg\" width=\"320\" height=\"320\" border=\"0\" \/><\/a><\/div>\n<div class=\"separator\" style=\"clear: both; text-align: center;\">Want to pin this for later? \u00a0Here you go!<\/div>\n<div class=\"separator\" style=\"clear: both; text-align: center;\"><a style=\"margin-left: 1em; margin-right: 1em;\" href=\"https:\/\/1.bp.blogspot.com\/-ScSDXQHPpHg\/WI1iXuQcnJI\/AAAAAAAAY3Q\/cQ8OcsST-9EG_7lg48lLLBrLk01z3wwFwCLcB\/s1600\/fraction%2Bnumber%2Bline%2Bpost%2Bpart%2B2%2Bpin.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" title=\"critique the reasoning of others\" src=\"https:\/\/1.bp.blogspot.com\/-ScSDXQHPpHg\/WI1iXuQcnJI\/AAAAAAAAY3Q\/cQ8OcsST-9EG_7lg48lLLBrLk01z3wwFwCLcB\/s640\/fraction%2Bnumber%2Bline%2Bpost%2Bpart%2B2%2Bpin.jpg\" alt=\"fraction number lines, critiquing reasoning, teaching fractions, fraction activities, fraction lessons\" width=\"320\" height=\"640\" border=\"0\" \/><\/a><\/div>\n<div class=\"separator\" style=\"clear: both; text-align: center;\"><\/div>\n<div style=\"text-align: center;\"><\/div>\n","protected":false},"excerpt":{"rendered":"<p>If you missed my post the other day about using number lines to improve fractional reasoning, you might want to take a peek at it before digging into this post! \u00a0Just CLICK HERE if you missed it&#8230;because I want you to know that the lesson featured today was not the FIRST time my students had [&hellip;]<\/p>\n","protected":false},"author":2,"featured_media":11246,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[2,343],"tags":[194],"class_list":["post-6472","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-math-lessons","category-fractions","tag-fractions","wpbf-post"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.1.1 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>More Fraction Number Lines: More Critiquing Reasoning! - The Teacher Studio<\/title>\n<meta name=\"description\" content=\"Fraction number lines are a great way to improve number sense. 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