{"id":189,"date":"2026-03-27T04:14:08","date_gmt":"2026-03-27T04:14:08","guid":{"rendered":"https:\/\/pressbooks.palomar.edu\/schoolagecurriculum\/?post_type=back-matter&#038;p=189"},"modified":"2026-06-03T20:53:24","modified_gmt":"2026-06-03T20:53:24","slug":"mathematics-activities","status":"publish","type":"back-matter","link":"https:\/\/pressbooks.palomar.edu\/schoolagecurriculum\/back-matter\/mathematics-activities\/","title":{"raw":"Mathematics Activities","rendered":"Mathematics Activities"},"content":{"raw":"<h2>Base Ten Blocks<\/h2>\r\n<ul>\r\n \t<li>Make your own base ten blocks\r\n<ul>\r\n \t<li>This can be done with beans and popsicle sticks.<\/li>\r\n<\/ul>\r\n<\/li>\r\n<\/ul>\r\n<img class=\"size-full wp-image-389 alignnone\" src=\"http:\/\/pressbooks.palomar.edu\/schoolagecurriculum\/wp-content\/uploads\/sites\/47\/2026\/03\/Bean-Math.png\" alt=\"Popsicle sticks with 10 beans glued on each\" width=\"276\" height=\"204\" \/>\r\n<ul>\r\n \t<li>Then create a HTO chart (hundreds, tens, ones) chart on a piece of paper<\/li>\r\n<\/ul>\r\n<img class=\"size-medium wp-image-390 alignnone\" src=\"http:\/\/pressbooks.palomar.edu\/schoolagecurriculum\/wp-content\/uploads\/sites\/47\/2026\/03\/HTO-Chart-300x203.png\" alt=\"Graph depicting a hundreds, tens, and ones chart\" width=\"300\" height=\"203\" \/>\r\n\r\nThen do these series of activities with a partner:\r\n<ol>\r\n \t<li style=\"font-weight: 400\">Make 127<\/li>\r\n \t<li style=\"font-weight: 400\">Add 24 +31<\/li>\r\n \t<li style=\"font-weight: 400\">Add 36+48 \u00a0 (How did you model regrouping?)<\/li>\r\n \t<li style=\"font-weight: 400\">Subtract 45-22<\/li>\r\n \t<li style=\"font-weight: 400\">Subtract 32-18 (How did you model borrowing?)<\/li>\r\n \t<li style=\"font-weight: 400\">Subtract 40-15<\/li>\r\n<\/ol>\r\nReflect:\r\n<ol>\r\n \t<li style=\"font-weight: 400\">Why is it important to make math visible?<\/li>\r\n \t<li style=\"font-weight: 400\">Is it enough for teachers to model this?<\/li>\r\n \t<li style=\"font-weight: 400\">The next step after concrete activities is pictorial.\u00a0 How can you make this activity pictorial?<\/li>\r\n<\/ol>\r\n\r\n<hr \/>\r\n\r\n<h2>Fractions<\/h2>\r\nMake paper fraction strips\r\n\r\n<img class=\"wp-image-391 alignnone\" src=\"http:\/\/pressbooks.palomar.edu\/schoolagecurriculum\/wp-content\/uploads\/sites\/47\/2026\/03\/Fractions.png\" alt=\"Strips of colored paper representing various stages of fractions\" width=\"272\" height=\"188\" \/>\r\n\r\nThen model the following activities using your fraction strips:\r\n<ol>\r\n \t<li style=\"font-weight: 400\">Compare &gt;\u00a0 &lt;\u00a0 =<\/li>\r\n<\/ol>\r\n\u00bd and \u00bc \u00a0 \u2153 and \u2159\u00a0 \u00a0 \u2154 and 4\/6\u00a0 1 and 4\/4\r\n<ol>\r\n \t<li style=\"font-weight: 400\">Add \u00bd and \u00bd<\/li>\r\n \t<li style=\"font-weight: 400\">Add \u2153 and 2\/6<\/li>\r\n \t<li style=\"font-weight: 400\">Subtract \u00bd and \u00bc<\/li>\r\n \t<li style=\"font-weight: 400\">Add \u2153 and \u00bc<\/li>\r\n \t<li style=\"font-weight: 400\">Reduce 2\/12<\/li>\r\n<\/ol>\r\n\r\n<hr \/>\r\n\r\n<h2>Dream House Activity<\/h2>\r\nThis activity is designed to practice area and perimeter.\r\n\r\n<img class=\"wp-image-392 alignnone\" src=\"http:\/\/pressbooks.palomar.edu\/schoolagecurriculum\/wp-content\/uploads\/sites\/47\/2026\/03\/Dream-House-300x220.png\" alt=\"Student example of the dream house activity on color paper\" width=\"329\" height=\"241\" \/>\r\n<ol>\r\n \t<li>Use the Grid Paper to create rooms and label them.\r\n<ul>\r\n \t<li>They all must have right angles and be a rectangle (remember a square is just a special rectangle).<\/li>\r\n<\/ul>\r\n<\/li>\r\n \t<li>Find the area of each room.<\/li>\r\n \t<li>Add them together.<\/li>\r\n \t<li>Find the perimeter of your whole house.<\/li>\r\n<\/ol>","rendered":"<h2>Base Ten Blocks<\/h2>\n<ul>\n<li>Make your own base ten blocks\n<ul>\n<li>This can be done with beans and popsicle sticks.<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-389 alignnone\" src=\"http:\/\/pressbooks.palomar.edu\/schoolagecurriculum\/wp-content\/uploads\/sites\/47\/2026\/03\/Bean-Math.png\" alt=\"Popsicle sticks with 10 beans glued on each\" width=\"276\" height=\"204\" srcset=\"https:\/\/pressbooks.palomar.edu\/schoolagecurriculum\/wp-content\/uploads\/sites\/47\/2026\/03\/Bean-Math.png 276w, https:\/\/pressbooks.palomar.edu\/schoolagecurriculum\/wp-content\/uploads\/sites\/47\/2026\/03\/Bean-Math-65x48.png 65w, https:\/\/pressbooks.palomar.edu\/schoolagecurriculum\/wp-content\/uploads\/sites\/47\/2026\/03\/Bean-Math-225x166.png 225w\" sizes=\"auto, (max-width: 276px) 100vw, 276px\" \/><\/p>\n<ul>\n<li>Then create a HTO chart (hundreds, tens, ones) chart on a piece of paper<\/li>\n<\/ul>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"size-medium wp-image-390 alignnone\" src=\"http:\/\/pressbooks.palomar.edu\/schoolagecurriculum\/wp-content\/uploads\/sites\/47\/2026\/03\/HTO-Chart-300x203.png\" alt=\"Graph depicting a hundreds, tens, and ones chart\" width=\"300\" height=\"203\" srcset=\"https:\/\/pressbooks.palomar.edu\/schoolagecurriculum\/wp-content\/uploads\/sites\/47\/2026\/03\/HTO-Chart-300x203.png 300w, https:\/\/pressbooks.palomar.edu\/schoolagecurriculum\/wp-content\/uploads\/sites\/47\/2026\/03\/HTO-Chart-65x44.png 65w, https:\/\/pressbooks.palomar.edu\/schoolagecurriculum\/wp-content\/uploads\/sites\/47\/2026\/03\/HTO-Chart-225x152.png 225w, https:\/\/pressbooks.palomar.edu\/schoolagecurriculum\/wp-content\/uploads\/sites\/47\/2026\/03\/HTO-Chart-350x237.png 350w, https:\/\/pressbooks.palomar.edu\/schoolagecurriculum\/wp-content\/uploads\/sites\/47\/2026\/03\/HTO-Chart.png 368w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>Then do these series of activities with a partner:<\/p>\n<ol>\n<li style=\"font-weight: 400\">Make 127<\/li>\n<li style=\"font-weight: 400\">Add 24 +31<\/li>\n<li style=\"font-weight: 400\">Add 36+48 \u00a0 (How did you model regrouping?)<\/li>\n<li style=\"font-weight: 400\">Subtract 45-22<\/li>\n<li style=\"font-weight: 400\">Subtract 32-18 (How did you model borrowing?)<\/li>\n<li style=\"font-weight: 400\">Subtract 40-15<\/li>\n<\/ol>\n<p>Reflect:<\/p>\n<ol>\n<li style=\"font-weight: 400\">Why is it important to make math visible?<\/li>\n<li style=\"font-weight: 400\">Is it enough for teachers to model this?<\/li>\n<li style=\"font-weight: 400\">The next step after concrete activities is pictorial.\u00a0 How can you make this activity pictorial?<\/li>\n<\/ol>\n<hr \/>\n<h2>Fractions<\/h2>\n<p>Make paper fraction strips<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-391 alignnone\" src=\"http:\/\/pressbooks.palomar.edu\/schoolagecurriculum\/wp-content\/uploads\/sites\/47\/2026\/03\/Fractions.png\" alt=\"Strips of colored paper representing various stages of fractions\" width=\"272\" height=\"188\" srcset=\"https:\/\/pressbooks.palomar.edu\/schoolagecurriculum\/wp-content\/uploads\/sites\/47\/2026\/03\/Fractions.png 211w, https:\/\/pressbooks.palomar.edu\/schoolagecurriculum\/wp-content\/uploads\/sites\/47\/2026\/03\/Fractions-65x45.png 65w\" sizes=\"auto, (max-width: 272px) 100vw, 272px\" \/><\/p>\n<p>Then model the following activities using your fraction strips:<\/p>\n<ol>\n<li style=\"font-weight: 400\">Compare &gt;\u00a0 &lt;\u00a0 =<\/li>\n<\/ol>\n<p>\u00bd and \u00bc \u00a0 \u2153 and \u2159\u00a0 \u00a0 \u2154 and 4\/6\u00a0 1 and 4\/4<\/p>\n<ol>\n<li style=\"font-weight: 400\">Add \u00bd and \u00bd<\/li>\n<li style=\"font-weight: 400\">Add \u2153 and 2\/6<\/li>\n<li style=\"font-weight: 400\">Subtract \u00bd and \u00bc<\/li>\n<li style=\"font-weight: 400\">Add \u2153 and \u00bc<\/li>\n<li style=\"font-weight: 400\">Reduce 2\/12<\/li>\n<\/ol>\n<hr \/>\n<h2>Dream House Activity<\/h2>\n<p>This activity is designed to practice area and perimeter.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-392 alignnone\" src=\"http:\/\/pressbooks.palomar.edu\/schoolagecurriculum\/wp-content\/uploads\/sites\/47\/2026\/03\/Dream-House-300x220.png\" alt=\"Student example of the dream house activity on color paper\" width=\"329\" height=\"241\" srcset=\"https:\/\/pressbooks.palomar.edu\/schoolagecurriculum\/wp-content\/uploads\/sites\/47\/2026\/03\/Dream-House-300x220.png 300w, https:\/\/pressbooks.palomar.edu\/schoolagecurriculum\/wp-content\/uploads\/sites\/47\/2026\/03\/Dream-House-65x48.png 65w, https:\/\/pressbooks.palomar.edu\/schoolagecurriculum\/wp-content\/uploads\/sites\/47\/2026\/03\/Dream-House-225x165.png 225w, https:\/\/pressbooks.palomar.edu\/schoolagecurriculum\/wp-content\/uploads\/sites\/47\/2026\/03\/Dream-House-350x256.png 350w, https:\/\/pressbooks.palomar.edu\/schoolagecurriculum\/wp-content\/uploads\/sites\/47\/2026\/03\/Dream-House.png 526w\" sizes=\"auto, (max-width: 329px) 100vw, 329px\" \/><\/p>\n<ol>\n<li>Use the Grid Paper to create rooms and label them.\n<ul>\n<li>They all must have right angles and be a rectangle (remember a square is just a special rectangle).<\/li>\n<\/ul>\n<\/li>\n<li>Find the area of each room.<\/li>\n<li>Add them together.<\/li>\n<li>Find the perimeter of your whole house.<\/li>\n<\/ol>\n<div class=\"media-attributions clear\" prefix:cc=\"http:\/\/creativecommons.org\/ns#\" prefix:dc=\"http:\/\/purl.org\/dc\/terms\/\"><h2>Media Attributions<\/h2><ul><li >Bean Math  &copy;  Kerry Diaz    is licensed under a  <a rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by-nc-sa\/4.0\/\">CC BY-NC-SA (Attribution NonCommercial ShareAlike)<\/a> license<\/li><li >HTO Chart  &copy;  Kerry Diaz    is licensed under a  <a rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by-nc-sa\/4.0\/\">CC BY-NC-SA (Attribution NonCommercial ShareAlike)<\/a> license<\/li><li >Fractions  &copy;  Kerry Diaz    is licensed under a  <a rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by-nc-sa\/4.0\/\">CC BY-NC-SA (Attribution NonCommercial ShareAlike)<\/a> license<\/li><li >Dream House  &copy;  Kerry Diaz    is licensed under a  <a rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by-nc-sa\/4.0\/\">CC BY-NC-SA (Attribution NonCommercial ShareAlike)<\/a> license<\/li><\/ul><\/div>","protected":false},"author":17,"menu_order":6,"template":"","meta":{"pb_show_title":"on","pb_short_title":"Math 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