{"id":549,"date":"2021-02-10T18:05:42","date_gmt":"2021-02-11T02:05:42","guid":{"rendered":"https:\/\/hailstonesequence.wordpress.com\/?p=549"},"modified":"2021-08-07T14:40:38","modified_gmt":"2021-08-07T21:40:38","slug":"intro","status":"publish","type":"post","link":"https:\/\/hailstonesequence.com\/index.php\/2021\/02\/10\/intro\/","title":{"rendered":"Virtual Lesson: Adding Integers"},"content":{"rendered":"\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<p>I gobbled up Peter Liljedahl&#8217;s &#8220;Building Thinking Classrooms in Mathematics&#8221; over winter break. My school is still online due to Covid, so I decided to try to implement some of his ideas during my Zoom lessons. It&#8217;s NOT EVEN CLOSE to being as good as it will be in person, but the kids enjoyed the structure and learned a lot!<\/p>\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\"><img decoding=\"async\" src=\"https:\/\/hailstonesequence.files.wordpress.com\/2021\/02\/screen-shot-2021-02-10-at-5.59.23-pm.png?w=723\" alt=\"\" class=\"wp-image-586\" data-recalc-dims=\"1\"\/><\/figure>\n<\/div>\n<\/div>\n\n\n\n<p>A bit of context: My students are already pretty good thinkers; I looped with them from 6th grade and we&#8217;ve been using the Open Up Resources\/Illustrative Mathematics curriculum &#8211; a problem-based curriculum that asks students to think deeply every lesson. Because of this, I felt comfortable jumping right into using curricular thinking tasks. <\/p>\n\n\n\n<p>The lesson&#8217;s goal was, loosely, to get kids thinking about adding signed numbers. <\/p>\n\n\n\n<p>Here is what I came up with! I&#8217;d love feedback from anyone &#8211; especially those of you who are more familiar with <em>Thinking Classrooms in Mathematics<\/em>. All of the materials are linked at the bottom of the post in case you want to try it out too. <\/p>\n\n\n\n<p><strong>The launch:<\/strong> Since we are online and internet can be spotty, I chose to type the launch questions for clarity. Kids can&#8217;t always hear me well on zoom. (Liljedahl found it&#8217;s best for teachers to talk about the opening question without writing the text on the board.) <\/p>\n\n\n\n<div class=\"wp-block-jetpack-slideshow aligncenter\" data-effect=\"slide\"><div class=\"wp-block-jetpack-slideshow_container swiper-container\"><ul class=\"wp-block-jetpack-slideshow_swiper-wrapper swiper-wrapper\"><li class=\"wp-block-jetpack-slideshow_slide swiper-slide\"><figure><img decoding=\"async\" alt=\"\" class=\"wp-block-jetpack-slideshow_image wp-image-556\" data-id=\"556\" src=\"https:\/\/hailstonesequence.files.wordpress.com\/2021\/02\/screen-shot-2021-02-10-at-5.35.25-pm.png?w=723\" data-recalc-dims=\"1\"\/><\/figure><\/li><li class=\"wp-block-jetpack-slideshow_slide swiper-slide\"><figure><img decoding=\"async\" alt=\"\" class=\"wp-block-jetpack-slideshow_image wp-image-557\" data-id=\"557\" src=\"https:\/\/hailstonesequence.files.wordpress.com\/2021\/02\/screen-shot-2021-02-10-at-5.35.31-pm.png?w=723\" data-recalc-dims=\"1\"\/><\/figure><\/li><li class=\"wp-block-jetpack-slideshow_slide swiper-slide\"><figure><img decoding=\"async\" alt=\"\" class=\"wp-block-jetpack-slideshow_image wp-image-558\" data-id=\"558\" src=\"https:\/\/hailstonesequence.files.wordpress.com\/2021\/02\/screen-shot-2021-02-10-at-5.35.37-pm.png?w=723\" data-recalc-dims=\"1\"\/><\/figure><\/li><li class=\"wp-block-jetpack-slideshow_slide swiper-slide\"><figure><img decoding=\"async\" alt=\"\" class=\"wp-block-jetpack-slideshow_image wp-image-559\" data-id=\"559\" src=\"https:\/\/hailstonesequence.files.wordpress.com\/2021\/02\/screen-shot-2021-02-10-at-5.35.42-pm.png?w=723\" data-recalc-dims=\"1\"\/><\/figure><\/li><li class=\"wp-block-jetpack-slideshow_slide swiper-slide\"><figure><img decoding=\"async\" alt=\"\" class=\"wp-block-jetpack-slideshow_image wp-image-560\" data-id=\"560\" src=\"https:\/\/hailstonesequence.files.wordpress.com\/2021\/02\/screen-shot-2021-02-10-at-5.35.48-pm.png?w=723\" data-recalc-dims=\"1\"\/><\/figure><\/li><li class=\"wp-block-jetpack-slideshow_slide swiper-slide\"><figure><img decoding=\"async\" alt=\"\" class=\"wp-block-jetpack-slideshow_image wp-image-561\" data-id=\"561\" src=\"https:\/\/hailstonesequence.files.wordpress.com\/2021\/02\/screen-shot-2021-02-10-at-5.35.54-pm.png?w=723\" data-recalc-dims=\"1\"\/><\/figure><\/li><\/ul><a class=\"wp-block-jetpack-slideshow_button-prev swiper-button-prev swiper-button-white\" role=\"button\"><\/a><a class=\"wp-block-jetpack-slideshow_button-next swiper-button-next swiper-button-white\" role=\"button\"><\/a><a aria-label=\"Pause Slideshow\" class=\"wp-block-jetpack-slideshow_button-pause\" role=\"button\"><\/a><div class=\"wp-block-jetpack-slideshow_pagination swiper-pagination swiper-pagination-white\"><\/div><\/div><\/div>\n\n\n\n<p><strong>The sequence of tasks<\/strong> <strong>(teacher-facing)<\/strong>: <\/p>\n\n\n\n<p>I designed a sequence of tasks using problems from <a rel=\"noreferrer noopener\" href=\"https:\/\/access.openupresources.org\/curricula\/our6-8math\" target=\"_blank\">Open Up Resources<\/a> 7th grade curriculum and <a rel=\"noreferrer noopener\" href=\"http:\/\/donsteward.blogspot.com\/\" target=\"_blank\">Don Steward&#8217;s<\/a> brilliant site. (Check out both sites if you&#8217;re not familiar!) Everyone started with 1A and then skipped ahead to 2A unless they needed more practice at the same level. Here it is: <\/p>\n\n\n\n<div class=\"wp-block-jetpack-slideshow aligncenter\" data-effect=\"slide\"><div class=\"wp-block-jetpack-slideshow_container swiper-container\"><ul class=\"wp-block-jetpack-slideshow_swiper-wrapper swiper-wrapper\"><li class=\"wp-block-jetpack-slideshow_slide swiper-slide\"><figure><img decoding=\"async\" alt=\"\" class=\"wp-block-jetpack-slideshow_image wp-image-563\" data-id=\"563\" src=\"https:\/\/hailstonesequence.files.wordpress.com\/2021\/02\/screen-shot-2021-02-10-at-5.37.48-pm.png?w=723\" data-recalc-dims=\"1\"\/><\/figure><\/li><li class=\"wp-block-jetpack-slideshow_slide swiper-slide\"><figure><img decoding=\"async\" alt=\"\" class=\"wp-block-jetpack-slideshow_image wp-image-564\" data-id=\"564\" src=\"https:\/\/hailstonesequence.files.wordpress.com\/2021\/02\/screen-shot-2021-02-10-at-5.37.54-pm.png?w=723\" data-recalc-dims=\"1\"\/><\/figure><\/li><li class=\"wp-block-jetpack-slideshow_slide swiper-slide\"><figure><img decoding=\"async\" alt=\"\" class=\"wp-block-jetpack-slideshow_image wp-image-565\" data-id=\"565\" src=\"https:\/\/hailstonesequence.files.wordpress.com\/2021\/02\/screen-shot-2021-02-10-at-5.38.01-pm.png?w=723\" data-recalc-dims=\"1\"\/><\/figure><\/li><li class=\"wp-block-jetpack-slideshow_slide swiper-slide\"><figure><img decoding=\"async\" alt=\"\" class=\"wp-block-jetpack-slideshow_image wp-image-566\" data-id=\"566\" src=\"https:\/\/hailstonesequence.files.wordpress.com\/2021\/02\/screen-shot-2021-02-10-at-5.38.22-pm.png?w=723\" data-recalc-dims=\"1\"\/><\/figure><\/li><li class=\"wp-block-jetpack-slideshow_slide swiper-slide\"><figure><img decoding=\"async\" alt=\"\" class=\"wp-block-jetpack-slideshow_image wp-image-567\" data-id=\"567\" src=\"https:\/\/hailstonesequence.files.wordpress.com\/2021\/02\/screen-shot-2021-02-10-at-5.38.29-pm.png?w=723\" data-recalc-dims=\"1\"\/><\/figure><\/li><li class=\"wp-block-jetpack-slideshow_slide swiper-slide\"><figure><img decoding=\"async\" alt=\"\" class=\"wp-block-jetpack-slideshow_image wp-image-568\" data-id=\"568\" src=\"https:\/\/hailstonesequence.files.wordpress.com\/2021\/02\/screen-shot-2021-02-10-at-5.38.38-pm.png?w=723\" data-recalc-dims=\"1\"\/><\/figure><\/li><li class=\"wp-block-jetpack-slideshow_slide swiper-slide\"><figure><img decoding=\"async\" alt=\"\" class=\"wp-block-jetpack-slideshow_image wp-image-569\" data-id=\"569\" src=\"https:\/\/hailstonesequence.files.wordpress.com\/2021\/02\/screen-shot-2021-02-10-at-5.38.46-pm.png?w=723\" data-recalc-dims=\"1\"\/><\/figure><\/li><li class=\"wp-block-jetpack-slideshow_slide swiper-slide\"><figure><img decoding=\"async\" alt=\"\" class=\"wp-block-jetpack-slideshow_image wp-image-570\" data-id=\"570\" src=\"https:\/\/hailstonesequence.files.wordpress.com\/2021\/02\/screen-shot-2021-02-10-at-5.38.52-pm.png?w=723\" data-recalc-dims=\"1\"\/><\/figure><\/li><li class=\"wp-block-jetpack-slideshow_slide swiper-slide\"><figure><img decoding=\"async\" alt=\"\" class=\"wp-block-jetpack-slideshow_image wp-image-571\" data-id=\"571\" src=\"https:\/\/hailstonesequence.files.wordpress.com\/2021\/02\/screen-shot-2021-02-10-at-5.38.57-pm.png?w=723\" data-recalc-dims=\"1\"\/><\/figure><\/li><li class=\"wp-block-jetpack-slideshow_slide swiper-slide\"><figure><img decoding=\"async\" alt=\"\" class=\"wp-block-jetpack-slideshow_image wp-image-572\" data-id=\"572\" src=\"https:\/\/hailstonesequence.files.wordpress.com\/2021\/02\/screen-shot-2021-02-10-at-5.39.04-pm.png?w=723\" data-recalc-dims=\"1\"\/><\/figure><\/li><li class=\"wp-block-jetpack-slideshow_slide swiper-slide\"><figure><img decoding=\"async\" alt=\"\" class=\"wp-block-jetpack-slideshow_image wp-image-573\" data-id=\"573\" src=\"https:\/\/hailstonesequence.files.wordpress.com\/2021\/02\/screen-shot-2021-02-10-at-5.39.11-pm.png?w=723\" data-recalc-dims=\"1\"\/><\/figure><\/li><li class=\"wp-block-jetpack-slideshow_slide swiper-slide\"><figure><img decoding=\"async\" alt=\"\" class=\"wp-block-jetpack-slideshow_image wp-image-574\" data-id=\"574\" src=\"https:\/\/hailstonesequence.files.wordpress.com\/2021\/02\/screen-shot-2021-02-10-at-5.39.16-pm.png?w=723\" data-recalc-dims=\"1\"\/><\/figure><\/li><li class=\"wp-block-jetpack-slideshow_slide swiper-slide\"><figure><img decoding=\"async\" alt=\"\" class=\"wp-block-jetpack-slideshow_image wp-image-575\" data-id=\"575\" src=\"https:\/\/hailstonesequence.files.wordpress.com\/2021\/02\/screen-shot-2021-02-10-at-5.39.22-pm.png?w=723\" data-recalc-dims=\"1\"\/><\/figure><\/li><li class=\"wp-block-jetpack-slideshow_slide swiper-slide\"><figure><img decoding=\"async\" alt=\"\" class=\"wp-block-jetpack-slideshow_image wp-image-576\" data-id=\"576\" src=\"https:\/\/hailstonesequence.files.wordpress.com\/2021\/02\/screen-shot-2021-02-10-at-5.39.28-pm.png?w=723\" data-recalc-dims=\"1\"\/><\/figure><\/li><li class=\"wp-block-jetpack-slideshow_slide swiper-slide\"><figure><img decoding=\"async\" alt=\"\" class=\"wp-block-jetpack-slideshow_image wp-image-577\" data-id=\"577\" src=\"https:\/\/hailstonesequence.files.wordpress.com\/2021\/02\/screen-shot-2021-02-10-at-5.39.34-pm.png?w=723\" data-recalc-dims=\"1\"\/><\/figure><\/li><\/ul><a class=\"wp-block-jetpack-slideshow_button-prev swiper-button-prev swiper-button-white\" role=\"button\"><\/a><a class=\"wp-block-jetpack-slideshow_button-next swiper-button-next swiper-button-white\" role=\"button\"><\/a><a aria-label=\"Pause Slideshow\" class=\"wp-block-jetpack-slideshow_button-pause\" role=\"button\"><\/a><div class=\"wp-block-jetpack-slideshow_pagination swiper-pagination swiper-pagination-white\"><\/div><\/div><\/div>\n\n\n\n<p><strong>Student Work:<\/strong><\/p>\n\n\n\n<p>The class worked on these in groups of 3 on one massive Google slide deck. I popped in and out of breakout rooms while scanning their work, giving feedback (usually by typing on the slides), and giving them the next sequence when they were ready. <\/p>\n\n\n\n<p><a rel=\"noreferrer noopener\" href=\"https:\/\/docs.google.com\/presentation\/d\/1i3VjaqxQDuG33WLr57SrOzxZryyulPv0VUCFQDeqV50\/edit?usp=sharing\" target=\"_blank\">Here is the template<\/a> that students worked in. I just had to make a separate copy for each class and then copy in the problems they needed from the <a rel=\"noreferrer noopener\" href=\"https:\/\/docs.google.com\/presentation\/d\/1WOSJJ82K1tUQA3u3bYMGtV3i2OXF0EkpOM3J9pRefXc\/edit\" target=\"_blank\">problem set<\/a> when they were ready.<\/p>\n\n\n\n<p><strong>Synthesis:<\/strong> When students returned from their breakout rooms, we did a quick notice and wonder and then closed out with my favorite Zoom synthesis: a Slow Chat. I simply ask students to think about the question, type in their answer, but WAIT until I say &#8220;go&#8221; to send it in. They all send in their answers at once and, I call on one or two people to explain. <\/p>\n\n\n\n<div class=\"wp-block-jetpack-tiled-gallery aligncenter is-style-rectangular\"><div class=\"tiled-gallery__gallery\"><div class=\"tiled-gallery__row\"><div class=\"tiled-gallery__col\" style=\"flex-basis:49.173610115155%;\"><figure class=\"tiled-gallery__item\"><img decoding=\"async\" srcset=\"https:\/\/hailstonesequence.files.wordpress.com\/2021\/02\/screen-shot-2021-02-10-at-5.51.43-pm.png?w=723?strip=info&#038;w=600 600w,https:\/\/hailstonesequence.files.wordpress.com\/2021\/02\/screen-shot-2021-02-10-at-5.51.43-pm.png?w=723?strip=info&#038;w=900 900w,https:\/\/hailstonesequence.files.wordpress.com\/2021\/02\/screen-shot-2021-02-10-at-5.51.43-pm.png?w=723?strip=info&#038;w=1200 1200w,https:\/\/hailstonesequence.files.wordpress.com\/2021\/02\/screen-shot-2021-02-10-at-5.51.43-pm.png?w=723?strip=info&#038;w=1500 1500w,https:\/\/hailstonesequence.files.wordpress.com\/2021\/02\/screen-shot-2021-02-10-at-5.51.43-pm.png?w=723?strip=info&#038;w=1762 1762w\" alt=\"\" data-height=\"1008\" data-id=\"582\" data-link=\"https:\/\/hailstonesequence.wordpress.com\/screen-shot-2021-02-10-at-5-51-43-pm\/\" data-url=\"https:\/\/hailstonesequence.files.wordpress.com\/2021\/02\/screen-shot-2021-02-10-at-5.51.43-pm.png?w=723\" data-width=\"1762\" src=\"https:\/\/hailstonesequence.files.wordpress.com\/2021\/02\/screen-shot-2021-02-10-at-5.51.43-pm.png?w=723\" data-recalc-dims=\"1\" \/><\/figure><\/div><div class=\"tiled-gallery__col\" style=\"flex-basis:50.826389884845%;\"><figure class=\"tiled-gallery__item\"><img decoding=\"async\" srcset=\"https:\/\/hailstonesequence.files.wordpress.com\/2021\/02\/screen-shot-2021-02-10-at-5.51.35-pm.png?w=723?strip=info&#038;w=600 600w,https:\/\/hailstonesequence.files.wordpress.com\/2021\/02\/screen-shot-2021-02-10-at-5.51.35-pm.png?w=723?strip=info&#038;w=900 900w,https:\/\/hailstonesequence.files.wordpress.com\/2021\/02\/screen-shot-2021-02-10-at-5.51.35-pm.png?w=723?strip=info&#038;w=1200 1200w,https:\/\/hailstonesequence.files.wordpress.com\/2021\/02\/screen-shot-2021-02-10-at-5.51.35-pm.png?w=723?strip=info&#038;w=1500 1500w,https:\/\/hailstonesequence.files.wordpress.com\/2021\/02\/screen-shot-2021-02-10-at-5.51.35-pm.png?w=723?strip=info&#038;w=1742 1742w\" alt=\"\" data-height=\"964\" data-id=\"581\" data-link=\"https:\/\/hailstonesequence.wordpress.com\/screen-shot-2021-02-10-at-5-51-35-pm\/\" data-url=\"https:\/\/hailstonesequence.files.wordpress.com\/2021\/02\/screen-shot-2021-02-10-at-5.51.35-pm.png?w=723\" data-width=\"1742\" src=\"https:\/\/hailstonesequence.files.wordpress.com\/2021\/02\/screen-shot-2021-02-10-at-5.51.35-pm.png?w=723\" data-recalc-dims=\"1\" \/><\/figure><\/div><\/div><\/div><\/div>\n\n\n\n<p>That&#8217;s it! Kids figured out a lot and we continued with more the next day!<\/p>\n\n\n\n<p><strong>Materials: <\/strong><\/p>\n\n\n\n<p>Here are my <a href=\"https:\/\/docs.google.com\/presentation\/d\/1VLhRc5kwiHOMVu7MKorYfeo9LzeCd2rcwWG6_w9azPM\/edit?usp=sharing\">launch slides.<\/a><\/p>\n\n\n\n<p>Here is the <a href=\"https:\/\/docs.google.com\/presentation\/d\/1WOSJJ82K1tUQA3u3bYMGtV3i2OXF0EkpOM3J9pRefXc\/edit?usp=sharing\">problem set<\/a> in google slides.<\/p>\n\n\n\n<p>Here is the <a href=\"https:\/\/docs.google.com\/presentation\/d\/1i3VjaqxQDuG33WLr57SrOzxZryyulPv0VUCFQDeqV50\/edit?usp=sharing\" target=\"_blank\" rel=\"noreferrer noopener\">slide deck<\/a> for the student work in breakout rooms.<\/p>\n\n\n\n<p><\/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 gobbled up Peter Liljedahl&#8217;s &#8220;Building Thinking Classrooms in Mathematics&#8221; over winter break. My school is still online due to Covid, so I decided to try to implement some of his ideas during my Zoom lessons. It&#8217;s NOT EVEN CLOSE to being as good as it will be in person, but the kids enjoyed the [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":988,"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":[3,10,1],"tags":[16,42,71],"class_list":["post-549","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-7th-grade-math","category-open-up-resources-illustrative-mathematics","category-uncategorized","tag-thinkingclassrooms","tag-integers","tag-signed-numbers"],"jetpack_featured_media_url":"https:\/\/i0.wp.com\/hailstonesequence.com\/wp-content\/uploads\/2021\/02\/Screen-Shot-2021-03-15-at-11.08.38-PM.png?fit=660%2C548&ssl=1","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/hailstonesequence.com\/index.php\/wp-json\/wp\/v2\/posts\/549","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=549"}],"version-history":[{"count":3,"href":"https:\/\/hailstonesequence.com\/index.php\/wp-json\/wp\/v2\/posts\/549\/revisions"}],"predecessor-version":[{"id":1009,"href":"https:\/\/hailstonesequence.com\/index.php\/wp-json\/wp\/v2\/posts\/549\/revisions\/1009"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/hailstonesequence.com\/index.php\/wp-json\/wp\/v2\/media\/988"}],"wp:attachment":[{"href":"https:\/\/hailstonesequence.com\/index.php\/wp-json\/wp\/v2\/media?parent=549"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/hailstonesequence.com\/index.php\/wp-json\/wp\/v2\/categories?post=549"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/hailstonesequence.com\/index.php\/wp-json\/wp\/v2\/tags?post=549"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}