\u201cWell, I knew the answer would be a whole number and if I start with a whole number, the answer will be a whole. So that\u2019s why I think you start with the [whole] number then the fraction.\u201d <\/p>\n\n\n\n
5th Grade Mathematicians prepare to take their unit-end test next week on multiplying and dividing fractions. Using our Illustrative Math <\/em>core text, students develop deep conceptual understanding of what fractions are and, in this unit, extend their earlier learning about fractions to include multiplying fractions by fractions and dividing a whole number by a unit fraction. They do this using both algorithms and diagrams! Can you draw how many one-thirds are in four? Or what it looks like to divide 8 by one quarter? Students learn to interpret \u00bd \u00f7 5 to mean finding the size of one part if \u00bd is split into 5 equal parts. And, to interpret 5 \u00f7 \u00bd as a way of finding how many \u00bds are in 5. <\/p>\n\n\n\n As part of their day of in-class review, students each presented a different \u201cposter problem\u201d to a few peers, explaining their problem and how their diagram and their expression both arrive at the answer. They practiced process skills like representing their thinking visually, and critiquing their own and others\u2019 reasoning\u2014including, in one funny instance, their teacher\u2019s reasoning! \u201cMs. TK, you gotta slow down! You\u2019re messing up!\u201d <\/p>\n\n\n\n Ms. TK, you gotta slow down! You\u2019re messing up!<\/p>\n<\/blockquote>\n\n\n\n And in Challenge group this week, students who have already mastered much of this content worked on another opportunity: using each of the digits in 2024 exactly one time, in any order with any symbol or operation, create expressions equivalent to the numbers 1-100. In this problem-solving challenge, students shared terms like concatenation and used strategies including grouping, decimals, square root, and factorial. We\u2019re so proud of our students\u2019 perseverance and flexible math thinking, and the ways all students contribute to the math community.<\/p>\n","protected":false},"excerpt":{"rendered":" \u201cWell, I knew the answer would be a whole number and if I start with a whole number, the answer will be a whole. So …<\/p>\n","protected":false},"author":6,"featured_media":2532,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"nf_dc_page":"","content-type":"","_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[242,205,92],"tags":[],"class_list":["post-2531","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-curriculum-connections","category-mathematics","category-middle-school"],"jetpack_sharing_enabled":true,"jetpack_featured_media_url":"https:\/\/i0.wp.com\/www.hillbrook.us\/voices\/wp-content\/uploads\/2024\/01\/fifth-grade-fractions.jpg?fit=2139%2C1602","_links":{"self":[{"href":"http:\/\/www.hillbrook.us\/voices\/wp-json\/wp\/v2\/posts\/2531","targetHints":{"allow":["GET"]}}],"collection":[{"href":"http:\/\/www.hillbrook.us\/voices\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/www.hillbrook.us\/voices\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/www.hillbrook.us\/voices\/wp-json\/wp\/v2\/users\/6"}],"replies":[{"embeddable":true,"href":"http:\/\/www.hillbrook.us\/voices\/wp-json\/wp\/v2\/comments?post=2531"}],"version-history":[{"count":1,"href":"http:\/\/www.hillbrook.us\/voices\/wp-json\/wp\/v2\/posts\/2531\/revisions"}],"predecessor-version":[{"id":2533,"href":"http:\/\/www.hillbrook.us\/voices\/wp-json\/wp\/v2\/posts\/2531\/revisions\/2533"}],"wp:featuredmedia":[{"embeddable":true,"href":"http:\/\/www.hillbrook.us\/voices\/wp-json\/wp\/v2\/media\/2532"}],"wp:attachment":[{"href":"http:\/\/www.hillbrook.us\/voices\/wp-json\/wp\/v2\/media?parent=2531"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/www.hillbrook.us\/voices\/wp-json\/wp\/v2\/categories?post=2531"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/www.hillbrook.us\/voices\/wp-json\/wp\/v2\/tags?post=2531"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}\n