{"id":4491,"date":"2020-06-02T00:46:48","date_gmt":"2020-06-02T00:46:48","guid":{"rendered":"https:\/\/www.mathletics.com\/blog\/?p=4491"},"modified":"2022-07-19T02:43:43","modified_gmt":"2022-07-19T02:43:43","slug":"how-to-make-and-recycle-math-worksheets","status":"publish","type":"post","link":"https:\/\/www.mathletics.com\/blog\/educators\/how-to-make-and-recycle-math-worksheets\/","title":{"rendered":"How to make and recycle mathematics worksheets"},"content":{"rendered":"<p><div class=\"fusion-fullwidth fullwidth-box fusion-builder-row-1 nonhundred-percent-fullwidth non-hundred-percent-height-scrolling\" style=\"background-color: rgba(255,255,255,0);background-position: center center;background-repeat: no-repeat;padding-top:5%;padding-right:0%;padding-bottom:5%;padding-left:0%;margin-bottom: 0px;margin-top: 0px;border-width: 0px 0px 0px 0px;border-color:#eae9e9;border-style:solid;\" ><div class=\"fusion-builder-row fusion-row\"><div class=\"fusion-layout-column fusion_builder_column fusion-builder-column-0 fusion_builder_column_1_1 1_1 fusion-one-full fusion-column-first fusion-column-last\" style=\"margin-top:0%;margin-bottom:0%;\"><div class=\"fusion-column-wrapper fusion-flex-column-wrapper-legacy\" style=\"background-position:left top;background-repeat:no-repeat;-webkit-background-size:cover;-moz-background-size:cover;-o-background-size:cover;background-size:cover;padding: 0px 0px 0px 0px;\"><div class=\"fusion-text fusion-text-1\"><p>Deep in the recesses of many mathematics departments, one can often find worksheets that have outlasted even the most senior staff in the building. Faded and weathered from years of frantic AM photocopying, they\u2019ve become a predictable staple of each year\u2019s teaching.<\/p>\n<p><strong>But are they really driving student learning?<\/strong><\/p>\n<p>Worksheets\u00a0<em>can<\/em>\u00a0be an effective resource in mathematics instruction. They\u2019re easily digestible from a student perspective, provide a clear snapshot of individual progress and save precious time. But\u00a0<strong>a poor worksheet is little more than busywork.<\/strong><\/p>\n<p>Thankfully, we have a few tips that will make creating\u00a0<em>effective<\/em>\u00a0mathematics worksheets simpler for you and more meaningful for your students.<\/p>\n<\/div><style type=\"text\/css\">@media only screen and (max-width:768px) {.fusion-title.fusion-title-1{margin-top:11px!important;margin-bottom:11px!important;}}<\/style><div class=\"fusion-title title fusion-title-1 fusion-sep-none fusion-title-text fusion-title-size-two\" style=\"margin-top:22px;margin-right:0px;margin-bottom:22px;margin-left:0px;\"><h2 class=\"title-heading-left fusion-responsive-typography-calculated\" style=\"margin:0;--fontSize:24;line-height:1.95;\"><p data-fontsize=\"25\" data-lineheight=\"30\">Design your mathematics worksheets for a specific purpose<\/p><\/h2><\/div><div class=\"fusion-text fusion-text-2\"><p>First determine which\u00a0<strong>mathematical concept is the focus<\/strong>\u00a0(e.g. arithmetic, algebra, fractions) and scaffold the worksheet around this core concept.<\/p>\n<p>Then ask what\u00a0<strong>type of learning<\/strong>\u00a0you want to support with the worksheet. This might be\u00a0problem solving and reasoning,\u00a0fluency,\u00a0extension\u00a0or support for learners with different needs.<\/p>\n<\/div><div class=\"fusion-text fusion-text-3\"><p><strong>Problem solving and reasoning<\/strong><\/p>\n<p>Problem solving and reasoning (PSR) tasks ask students to apply their mathematical knowledge to challenging problems. They benefit students who are learning to independently apply procedural skills in novel and real-world contexts.<\/p>\n<p>An effective PSR worksheet should be built around word problems inviting diverse thinking, with multiple pathways to a correct answer. Include a space for working out so that students can evidence their reasoning process, and make sure the problems refer to contextually relevant subject matter that students find engaging.<\/p>\n<p data-fontsize=\"20\" data-lineheight=\"24\"><strong>Practice and fluency<\/strong><\/p>\n<p>Practice and fluency activities strengthen students\u2019 procedural skills. They develop intuitive number sense and automatic recall of the rules and patterns applied in higher-order mathematical thinking. Fluency worksheets are ideal for learners who are consolidating a new mathematical concept, but they can be used at any time to ensure that procedural memory stays strong.<\/p>\n<p>A fluency worksheet should be built around individual sums which are scaffolded to become progressively more challenging. At least ten questions are needed in order to step out the scaffolding process and adequately drill the content.<\/p>\n<p data-fontsize=\"20\" data-lineheight=\"24\"><strong>Extension and support<\/strong><\/p>\n<p>Differentiated activities should be provided to students who need more advanced (extension) material or help consolidate studied concepts (support).<\/p>\n<p>Worksheets are a convenient source of differentiation in both cases. You could use PSR or fluency activities (or a mix of both) depending on your students\u2019 needs, with the level of challenge adjusted to suit their level of ability.<\/p>\n<\/div><style type=\"text\/css\">@media only screen and (max-width:768px) {.fusion-title.fusion-title-2{margin-top:11px!important;margin-bottom:11px!important;}}<\/style><div class=\"fusion-title title fusion-title-2 fusion-sep-none fusion-title-text fusion-title-size-two\" style=\"margin-top:22px;margin-right:0px;margin-bottom:22px;margin-left:0px;\"><h2 class=\"title-heading-left fusion-responsive-typography-calculated\" style=\"margin:0;--fontSize:24;line-height:1.95;\"><p data-fontsize=\"25\" data-lineheight=\"30\">Recycle or adjust your old worksheets<\/p><\/h2><\/div><div class=\"fusion-text fusion-text-4\"><p>Once you\u2019ve decided on a purpose for the worksheet, see what you can salvage from older resources. <strong>Recycling is ok, provided you<\/strong>\u00a0<strong>assess what needs to change first<\/strong>.<\/p>\n<p>Here\u2019s what you should be asking yourself about old worksheets before photocopying another set:<\/p>\n<\/div><div class=\"imageframe-align-center\"><span class=\" fusion-imageframe imageframe-none imageframe-1 hover-type-zoomin\"><img width=\"320\" height=\"320\" alt=\"Recycling math sheet checklist\" title=\"GBL_3P_Blog_Img_1080px4-768&#215;768\" src=\"\/wp-content\/uploads\/sites\/15\/GBL_3P_Blog_Img_1080px4-768x768.png\" data-orig-src=\"https:\/\/assets-homepages.3plearning.net\/wp-content\/uploads\/sites\/15\/GBL_3P_Blog_Img_1080px4-768x768-320x320.png\" class=\"lazyload img-responsive wp-image-4494\" srcset=\"data:image\/svg+xml,%3Csvg%20xmlns%3D%27http%3A%2F%2Fwww.w3.org%2F2000%2Fsvg%27%20width%3D%27768%27%20height%3D%27768%27%20viewBox%3D%270%200%20768%20768%27%3E%3Crect%20width%3D%27768%27%20height%3D%27768%27%20fill-opacity%3D%220%22%2F%3E%3C%2Fsvg%3E\" data-srcset=\"\/wp-content\/uploads\/sites\/15\/GBL_3P_Blog_Img_1080px4-768x768-200x200.png 200w, \/wp-content\/uploads\/sites\/15\/GBL_3P_Blog_Img_1080px4-768x768-400x400.png 400w, \/wp-content\/uploads\/sites\/15\/GBL_3P_Blog_Img_1080px4-768x768-600x600.png 600w\" data-sizes=\"auto\" data-orig-sizes=\"(max-width: 768px) 100vw, 320px\" \/><\/span><\/div><div class=\"fusion-text fusion-text-5\"><p>If your old worksheets tick the boxes, feel free to recycle. Otherwise, take the time to make the necessary changes.<\/p>\n<\/div><style type=\"text\/css\">@media only screen and (max-width:768px) {.fusion-title.fusion-title-3{margin-top:11px!important;margin-bottom:11px!important;}}<\/style><div class=\"fusion-title title fusion-title-3 fusion-sep-none fusion-title-text fusion-title-size-two\" style=\"margin-top:22px;margin-right:0px;margin-bottom:22px;margin-left:0px;\"><h2 class=\"title-heading-left fusion-responsive-typography-calculated\" style=\"margin:0;--fontSize:24;line-height:1.95;\"><p data-fontsize=\"25\" data-lineheight=\"30\">Differentiate with your mathematics worksheets<\/p><\/h2><\/div><div class=\"fusion-text fusion-text-6\"><p>Instead of creating worksheets as standalone resources, write them as a series where each worksheet becomes progressively more advanced than the last. This will\u00a0<strong>allow you to differentiate for diverse ability levels<\/strong>.<\/p>\n<p>Start your whole class on the same entry-level worksheet and encourage them to self-assess their own ability. From that point, make the whole series available and\u00a0<strong>allow students to select the worksheets that provide them with the right level of challenge<\/strong>. It\u2019s self-determined differentiation that also builds students\u2019 ability to reflect on their own learning.<\/p>\n<p>As a bonus, you could\u00a0<strong>combine worksheets with instructional materials (videos, handouts, etc) to create a full resource pack\u00a0<\/strong>for a unit. Again, make it freely available to all students (perhaps via an online platform) and coach them on how to select material that fits their level of ability.<\/p>\n<\/div><style type=\"text\/css\">@media only screen and (max-width:768px) {.fusion-title.fusion-title-4{margin-top:11px!important;margin-bottom:11px!important;}}<\/style><div class=\"fusion-title title fusion-title-4 fusion-sep-none fusion-title-text fusion-title-size-two\" style=\"margin-top:22px;margin-right:0px;margin-bottom:22px;margin-left:0px;\"><h2 class=\"title-heading-left fusion-responsive-typography-calculated\" style=\"margin:0;--fontSize:24;line-height:1.95;\"><p data-fontsize=\"25\" data-lineheight=\"30\">Understand what worksheets CAN and CANNOT do<\/p><\/h2><\/div><div class=\"fusion-text fusion-text-7\"><p>Know the limitations of a worksheet before you invest time into creating one. Here\u2019s what you should keep in mind:<\/p>\n<p>Worksheets cannot:<\/p>\n<ul>\n<li>teach new content for you<\/li>\n<li>compensate for gaps in, or lack of, understanding<\/li>\n<li>create long-term engagement.<\/li>\n<\/ul>\n<p>Worksheets\u00a0<em>can<\/em>:<\/p>\n<ul>\n<li>provide a source of differentiation<\/li>\n<li>develop fluency with a concept, assuming that it has already been taught in class<\/li>\n<li>serve as homework if they are designed for a\u00a0<em>purpose<\/em>.<\/li>\n<\/ul>\n<p>Invest that bit of extra time into planning and creating your worksheets and you\u2019ll never issue \u2018busywork\u2019 again. Instead, you\u2019ll produce resources that develop self-efficacy and augment the powerful work you do in the classroom.<\/p>\n<\/div><style type=\"text\/css\">@media only screen and (max-width:768px) {.fusion-title.fusion-title-5{margin-top:11px!important;margin-bottom:11px!important;}}<\/style><div class=\"fusion-title title fusion-title-5 fusion-sep-none fusion-title-text fusion-title-size-two\" style=\"margin-top:22px;margin-right:0px;margin-bottom:22px;margin-left:0px;\"><h2 class=\"title-heading-left fusion-responsive-typography-calculated\" style=\"margin:0;--fontSize:24;line-height:1.95;\">Want hundreds of worksheets with none of the effort?<\/h2><\/div><div class=\"fusion-text fusion-text-8\"><p>We&#8217;ve got you covered. Start a 30-day free trial of Mathletics and get access to hundreds of mathematics worksheets, yours to download and keep forever.<\/p>\n<\/div><div class=\"fusion-clearfix\"><\/div><\/div><\/div><\/div><\/div><div class=\"fusion-fullwidth fullwidth-box fusion-builder-row-2 nonhundred-percent-fullwidth non-hundred-percent-height-scrolling\" style=\"background-color: rgba(255,255,255,0);background-position: center center;background-repeat: no-repeat;padding-top:5%;padding-right:0%;padding-bottom:5%;padding-left:0%;margin-bottom: 0px;margin-top: 0px;border-width: 0px 0px 0px 0px;border-color:#eae9e9;border-style:solid;\" ><div class=\"fusion-builder-row fusion-row\"><div class=\"fusion-layout-column fusion_builder_column fusion-builder-column-1 fusion_builder_column_1_1 1_1 fusion-one-full fusion-column-first fusion-column-last\" style=\"margin-top:0%;margin-bottom:0%;\"><div class=\"fusion-column-wrapper fusion-flex-column-wrapper-legacy\" style=\"background-position:left top;background-repeat:no-repeat;-webkit-background-size:cover;-moz-background-size:cover;-o-background-size:cover;background-size:cover;border-radius:22px 22px 22px 22px;background-color:#f5bd22;border-width: 0 0 0 0;border-color:#eef2f5;border-style:solid;border-radius:22px 22px 22px 22px;overflow:hidden;padding: 40px 40px 40px 40px;\"><div class=\"fusion-column-content-centered\"><div class=\"fusion-column-content\"><style type=\"text\/css\"><\/style><div class=\"fusion-title title fusion-title-6 fusion-sep-none fusion-title-center fusion-title-text fusion-title-size-two fusion-title-default-margin\" style=\"margin-right:0px;margin-left:0px; margin-top:0px; margin-bottom:0px\"><h2 class=\"title-heading-center fusion-responsive-typography-calculated\" style=\"--fontSize:24;line-height:1;\"><p style=\"text-align: center\">Get access to Mathletics resource library now<\/p>\n<div id=\"gtx-trans\">\n<div class=\"gtx-trans-icon\"><\/div>\n<\/div><\/h2><\/div><div class=\"fusion-builder-row fusion-builder-row-inner fusion-row\"><div class=\"fusion-layout-column fusion_builder_column_inner fusion-builder-nested-column-0 fusion_builder_column_inner_1_2 1_2 fusion-one-half fusion-column-first\" style=\"width:50%;width:calc(50% - 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