{"id":25313,"date":"2024-02-23T15:54:03","date_gmt":"2024-02-23T15:54:03","guid":{"rendered":"https:\/\/newhampshiredigitalnews.com\/index.php\/2024\/02\/23\/preparing-precalculus-students-for-future-calculus-success\/"},"modified":"2024-02-23T15:54:03","modified_gmt":"2024-02-23T15:54:03","slug":"preparing-precalculus-students-for-future-calculus-success","status":"publish","type":"post","link":"https:\/\/newhampshiredigitalnews.com\/index.php\/2024\/02\/23\/preparing-precalculus-students-for-future-calculus-success\/","title":{"rendered":"Preparing Precalculus Students for Future Calculus Success"},"content":{"rendered":"<p> <br \/>\n<\/p>\n<div>\n<p>\n                Published: 2\/21\/2024\n      <\/p>\n<p>                  <span class=\"rt-reading-time\" style=\"display: block;\"><span class=\"rt-label rt-prefix\">Reading Time: <\/span> <span class=\"rt-time\">4<\/span> <span class=\"rt-label rt-postfix\">minutes<\/span><\/span><\/p>\n<p><span class=\"TextRun SCXW77063154 BCX0\" lang=\"EN-US\" xml:lang=\"EN-US\" data-contrast=\"auto\"><span class=\"NormalTextRun SCXW77063154 BCX0\">In addition to <\/span><span class=\"NormalTextRun SCXW77063154 BCX0\">helping students gain the skills<\/span><span class=\"NormalTextRun SCXW77063154 BCX0\"> needed to be successful in <\/span><span class=\"NormalTextRun SCXW77063154 BCX0\">C<\/span><span class=\"NormalTextRun SCXW77063154 BCX0\">alculus, a mindfully designed <\/span><span class=\"NormalTextRun SCXW77063154 BCX0\">P<\/span><span class=\"NormalTextRun SCXW77063154 BCX0\">recalculus course can also help address poor study habits, fill <\/span><span class=\"NormalTextRun SCXW77063154 BCX0\">gaps in foundational knowledge, influence a student\u2019s math mindset<\/span><span class=\"NormalTextRun SCXW77063154 BCX0\"> and introduce useful skills for solving difficult problems. However, careful planning is necessary to achieve these <\/span><span class=\"NormalTextRun SCXW77063154 BCX0\">additional<\/span><span class=\"NormalTextRun SCXW77063154 BCX0\"> goals.<\/span><span class=\"NormalTextRun SCXW77063154 BCX0\"> Here are some strategies I use t<\/span><span class=\"NormalTextRun SCXW77063154 BCX0\">o set my Precalculus students up for future <\/span><span class=\"NormalTextRun SCXW77063154 BCX0\">Calculus <\/span><span class=\"NormalTextRun SCXW77063154 BCX0\">success using the online learning platf<\/span><span class=\"NormalTextRun SCXW77063154 BCX0\">orm, <\/span><\/span><em><span class=\"TextRun SCXW77063154 BCX0\" lang=\"EN-US\" xml:lang=\"EN-US\" data-contrast=\"auto\"><span class=\"NormalTextRun SCXW77063154 BCX0\">WebAssign<\/span><\/span><\/em><span class=\"TextRun SCXW77063154 BCX0\" lang=\"EN-US\" xml:lang=\"EN-US\" data-contrast=\"auto\"><span class=\"NormalTextRun SCXW77063154 BCX0\">. <\/span><\/span><span class=\"EOP SCXW77063154 BCX0\" data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:6,&quot;335551620&quot;:6,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\">\u00a0<\/span><\/p>\n<h2>Strategies for promoting effective study habits<\/h2>\n<ul>\n<li data-leveltext=\"\uf0b7\" data-font=\"Symbol\" data-listid=\"11\" data-list-defn-props=\"{&quot;335552541&quot;:1,&quot;335559684&quot;:-2,&quot;335559685&quot;:720,&quot;335559991&quot;:360,&quot;469769226&quot;:&quot;Symbol&quot;,&quot;469769242&quot;:[8226],&quot;469777803&quot;:&quot;left&quot;,&quot;469777804&quot;:&quot;\uf0b7&quot;,&quot;469777815&quot;:&quot;hybridMultilevel&quot;}\" aria-setsize=\"-1\" data-aria-posinset=\"1\" data-aria-level=\"1\"><span data-contrast=\"auto\">Customize a template in <\/span><i><span data-contrast=\"auto\">WebAssign <\/span><\/i><span data-contrast=\"auto\">to incentivize working on assignments early. To do this, enable the option to provide extra credit, even as little as 5%, for work completed more than 24 hours before the due date.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\">\u00a0<\/span><\/li>\n<li data-leveltext=\"\uf0b7\" data-font=\"Symbol\" data-listid=\"11\" data-list-defn-props=\"{&quot;335552541&quot;:1,&quot;335559684&quot;:-2,&quot;335559685&quot;:720,&quot;335559991&quot;:360,&quot;469769226&quot;:&quot;Symbol&quot;,&quot;469769242&quot;:[8226],&quot;469777803&quot;:&quot;left&quot;,&quot;469777804&quot;:&quot;\uf0b7&quot;,&quot;469777815&quot;:&quot;hybridMultilevel&quot;}\" aria-setsize=\"-1\" data-aria-posinset=\"2\" data-aria-level=\"1\"><span data-contrast=\"auto\">Give students the opportunity to advocate for themselves and encourage them to do so.<\/span> <span data-contrast=\"auto\">I do this by reviewing the prerequisite skills from our corequisite course during the first week of the semester while at the same time leading mindful conversations about the purpose of the corequisite course. At the end of the week, students are given an assignment that includes an option to enroll in the corequisite course. Additionally, I make sure to thank the students who advocated for their needs.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\">\u00a0<\/span><\/li>\n<\/ul>\n<h2><b><span data-contrast=\"auto\">Strategies for filling gaps in foundational knowledge <\/span><\/b><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\">\u00a0<\/span><\/h2>\n<ul>\n<li data-leveltext=\"\uf0b7\" data-font=\"Symbol\" data-listid=\"9\" data-list-defn-props=\"{&quot;335552541&quot;:1,&quot;335559684&quot;:-2,&quot;335559685&quot;:720,&quot;335559991&quot;:360,&quot;469769226&quot;:&quot;Symbol&quot;,&quot;469769242&quot;:[8226],&quot;469777803&quot;:&quot;left&quot;,&quot;469777804&quot;:&quot;\uf0b7&quot;,&quot;469777815&quot;:&quot;hybridMultilevel&quot;}\" aria-setsize=\"-1\" data-aria-posinset=\"3\" data-aria-level=\"1\"><span data-contrast=\"auto\">Incorporate problems that provide practice of specific prerequisite skills and <\/span>point them out to your students<i><span data-contrast=\"auto\">.<\/span><\/i><span data-contrast=\"auto\"> For example, many of my students struggle to square a binomial. Therefore, I will proactively choose problems in each chapter that will provide us the opportunity to discuss this skill. These include*:<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\">\u00a0<\/span><\/li>\n<\/ul>\n<p><img fetchpriority=\"high\" decoding=\"async\" class=\"aligncenter wp-image-3894 size-large\" src=\"https:\/\/blog.cengage.com\/wp-content\/uploads\/2024\/02\/Precalc-Blog-Image-1-1024x256.png\" alt=\"Screenshot displaying example problems from WebAssign, including: - Composition of Functions (Question Name: 2.7.513XP, Question ID: 5379615) - Complex Numbers (Question Name 1.6.035, Question ID: 5412209) -Radical Equations (Question Name: 1.5.089, Question ID: 5412574) \" width=\"640\" height=\"160\" srcset=\"https:\/\/blog.cengage.com\/wp-content\/uploads\/2024\/02\/Precalc-Blog-Image-1-1024x256.png 1024w, https:\/\/blog.cengage.com\/wp-content\/uploads\/2024\/02\/Precalc-Blog-Image-1-300x75.png 300w, https:\/\/blog.cengage.com\/wp-content\/uploads\/2024\/02\/Precalc-Blog-Image-1-768x192.png 768w, https:\/\/blog.cengage.com\/wp-content\/uploads\/2024\/02\/Precalc-Blog-Image-1.png 1098w\" sizes=\"(max-width: 640px) 100vw, 640px\"\/><\/p>\n<ul>\n<li><span class=\"TextRun SCXW98836989 BCX0\" lang=\"EN-US\" xml:lang=\"EN-US\" data-contrast=\"auto\"><span class=\"NormalTextRun SCXW98836989 BCX0\">Include review problems at the end of each homework assignment.<\/span><\/span> <span class=\"TextRun SCXW98836989 BCX0\" lang=\"EN-US\" xml:lang=\"EN-US\" data-contrast=\"auto\"><span class=\"NormalTextRun SCXW98836989 BCX0\">These problems can include prerequisite skills and curriculum content. In addition to helping students practice their prerequisite skills, this strategy also <\/span><span class=\"NormalTextRun SCXW98836989 BCX0\">provides<\/span><span class=\"NormalTextRun SCXW98836989 BCX0\"> the opportunity for extra practice on topics that may have <\/span><span class=\"NormalTextRun SCXW98836989 BCX0\">been difficult initially. <\/span><\/span><span class=\"EOP SCXW98836989 BCX0\" data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\">\u00a0<\/span><\/li>\n<\/ul>\n<p>\u00a0<\/p>\n<h2>Strategies for developing a positive math mindset<\/h2>\n<ul>\n<li data-leveltext=\"\uf0b7\" data-font=\"Symbol\" data-listid=\"10\" data-list-defn-props=\"{&quot;335552541&quot;:1,&quot;335559684&quot;:-2,&quot;335559685&quot;:720,&quot;335559991&quot;:360,&quot;469769226&quot;:&quot;Symbol&quot;,&quot;469769242&quot;:[8226],&quot;469777803&quot;:&quot;left&quot;,&quot;469777804&quot;:&quot;\uf0b7&quot;,&quot;469777815&quot;:&quot;hybridMultilevel&quot;}\" aria-setsize=\"-1\" data-aria-posinset=\"2\" data-aria-level=\"1\"><span data-contrast=\"auto\">Help students find and celebrate success. When your students see that you believe in them, they may slowly start to believe in themselves as well.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\">\u00a0<\/span><\/li>\n<li data-leveltext=\"\uf0b7\" data-font=\"Symbol\" data-listid=\"10\" data-list-defn-props=\"{&quot;335552541&quot;:1,&quot;335559684&quot;:-2,&quot;335559685&quot;:720,&quot;335559991&quot;:360,&quot;469769226&quot;:&quot;Symbol&quot;,&quot;469769242&quot;:[8226],&quot;469777803&quot;:&quot;left&quot;,&quot;469777804&quot;:&quot;\uf0b7&quot;,&quot;469777815&quot;:&quot;hybridMultilevel&quot;}\" aria-setsize=\"-1\" data-aria-posinset=\"3\" data-aria-level=\"1\"><span data-contrast=\"auto\">Approach content in a way that provides a continual review. This can be done by using a function-based approach that starts off with topics such as transformation, domain, modeling, etc. You can then revisit each topic while covering the different families of functions. Students will feel more confident each time the topic comes up.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\">\u00a0<\/span><\/li>\n<li data-leveltext=\"\uf0b7\" data-font=\"Symbol\" data-listid=\"10\" data-list-defn-props=\"{&quot;335552541&quot;:1,&quot;335559684&quot;:-2,&quot;335559685&quot;:720,&quot;335559991&quot;:360,&quot;469769226&quot;:&quot;Symbol&quot;,&quot;469769242&quot;:[8226],&quot;469777803&quot;:&quot;left&quot;,&quot;469777804&quot;:&quot;\uf0b7&quot;,&quot;469777815&quot;:&quot;hybridMultilevel&quot;}\" aria-setsize=\"-1\" data-aria-posinset=\"4\" data-aria-level=\"1\"><span data-contrast=\"auto\">Utilize the mindset modules provided in <\/span><i><span data-contrast=\"auto\">WebAssign<\/span><\/i><span data-contrast=\"auto\">, and assign them at appropriate times in the course. For example, assign the test preparation module a week before the first test. To view and add the mindset modules, click <\/span><b><span data-contrast=\"auto\">Edit Class Settings&gt;Add Textbooks &amp; Free Additional Content<\/span><\/b><span data-contrast=\"auto\"> and select <\/span><b><span data-contrast=\"auto\">Cengage, Math Success Toolkit, ed. 1<\/span><\/b><span data-contrast=\"auto\">. For each topic, there are assignments that either utilize open-ended questions or auto-graded questions so that you can choose the format that best fits your needs. Visit the <\/span><a href=\"https:\/\/webassign.com\/instructors\/the-right-content-at-the-right-time\/foundation\/\"><span data-contrast=\"none\">WebAssign instructor website<\/span><\/a><span data-contrast=\"auto\"> for more information on the mindset modules. The current mindset modules available are:<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\">\u00a0<\/span><\/li>\n<\/ul>\n<ul>\n<li style=\"list-style-type: none;\">\n<ul>\n<li data-leveltext=\"\uf0a7\" data-font=\"Wingdings\" data-listid=\"10\" data-list-defn-props=\"{&quot;335552541&quot;:1,&quot;335559684&quot;:-2,&quot;335559685&quot;:1440,&quot;335559991&quot;:360,&quot;469769226&quot;:&quot;Wingdings&quot;,&quot;469769242&quot;:[9642],&quot;469777803&quot;:&quot;left&quot;,&quot;469777804&quot;:&quot;\uf0a7&quot;,&quot;469777815&quot;:&quot;hybridMultilevel&quot;}\" aria-setsize=\"-1\" data-aria-posinset=\"1\" data-aria-level=\"2\"><span data-contrast=\"auto\">What is Growth Mindset?<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\">\u00a0<\/span><\/li>\n<li data-leveltext=\"\uf0a7\" data-font=\"Wingdings\" data-listid=\"10\" data-list-defn-props=\"{&quot;335552541&quot;:1,&quot;335559684&quot;:-2,&quot;335559685&quot;:1440,&quot;335559991&quot;:360,&quot;469769226&quot;:&quot;Wingdings&quot;,&quot;469769242&quot;:[9642],&quot;469777803&quot;:&quot;left&quot;,&quot;469777804&quot;:&quot;\uf0a7&quot;,&quot;469777815&quot;:&quot;hybridMultilevel&quot;}\" aria-setsize=\"-1\" data-aria-posinset=\"2\" data-aria-level=\"2\"><span data-contrast=\"auto\">Reframing Failure<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\">\u00a0<\/span><\/li>\n<li data-leveltext=\"\uf0a7\" data-font=\"Wingdings\" data-listid=\"10\" data-list-defn-props=\"{&quot;335552541&quot;:1,&quot;335559684&quot;:-2,&quot;335559685&quot;:1440,&quot;335559991&quot;:360,&quot;469769226&quot;:&quot;Wingdings&quot;,&quot;469769242&quot;:[9642],&quot;469777803&quot;:&quot;left&quot;,&quot;469777804&quot;:&quot;\uf0a7&quot;,&quot;469777815&quot;:&quot;hybridMultilevel&quot;}\" aria-setsize=\"-1\" data-aria-posinset=\"3\" data-aria-level=\"2\"><span data-contrast=\"auto\">Learning and Memory<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\">\u00a0<\/span><\/li>\n<li data-leveltext=\"\uf0a7\" data-font=\"Wingdings\" data-listid=\"10\" data-list-defn-props=\"{&quot;335552541&quot;:1,&quot;335559684&quot;:-2,&quot;335559685&quot;:1440,&quot;335559991&quot;:360,&quot;469769226&quot;:&quot;Wingdings&quot;,&quot;469769242&quot;:[9642],&quot;469777803&quot;:&quot;left&quot;,&quot;469777804&quot;:&quot;\uf0a7&quot;,&quot;469777815&quot;:&quot;hybridMultilevel&quot;}\" aria-setsize=\"-1\" data-aria-posinset=\"4\" data-aria-level=\"2\"><span data-contrast=\"auto\">Effective Note Taking<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\">\u00a0<\/span><\/li>\n<li data-leveltext=\"\uf0a7\" data-font=\"Wingdings\" data-listid=\"10\" data-list-defn-props=\"{&quot;335552541&quot;:1,&quot;335559684&quot;:-2,&quot;335559685&quot;:1440,&quot;335559991&quot;:360,&quot;469769226&quot;:&quot;Wingdings&quot;,&quot;469769242&quot;:[9642],&quot;469777803&quot;:&quot;left&quot;,&quot;469777804&quot;:&quot;\uf0a7&quot;,&quot;469777815&quot;:&quot;hybridMultilevel&quot;}\" aria-setsize=\"-1\" data-aria-posinset=\"5\" data-aria-level=\"2\"><span data-contrast=\"auto\">Navigating a Math or Stats Textbook<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\">\u00a0<\/span><\/li>\n<li data-leveltext=\"\uf0a7\" data-font=\"Wingdings\" data-listid=\"10\" data-list-defn-props=\"{&quot;335552541&quot;:1,&quot;335559684&quot;:-2,&quot;335559685&quot;:1440,&quot;335559991&quot;:360,&quot;469769226&quot;:&quot;Wingdings&quot;,&quot;469769242&quot;:[9642],&quot;469777803&quot;:&quot;left&quot;,&quot;469777804&quot;:&quot;\uf0a7&quot;,&quot;469777815&quot;:&quot;hybridMultilevel&quot;}\" aria-setsize=\"-1\" data-aria-posinset=\"6\" data-aria-level=\"2\"><span data-contrast=\"auto\">Math and Test Anxiety<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\">\u00a0<\/span><\/li>\n<li data-leveltext=\"\uf0a7\" data-font=\"Wingdings\" data-listid=\"10\" data-list-defn-props=\"{&quot;335552541&quot;:1,&quot;335559684&quot;:-2,&quot;335559685&quot;:1440,&quot;335559991&quot;:360,&quot;469769226&quot;:&quot;Wingdings&quot;,&quot;469769242&quot;:[9642],&quot;469777803&quot;:&quot;left&quot;,&quot;469777804&quot;:&quot;\uf0a7&quot;,&quot;469777815&quot;:&quot;hybridMultilevel&quot;}\" aria-setsize=\"-1\" data-aria-posinset=\"7\" data-aria-level=\"2\"><span data-contrast=\"auto\">Studying for Math and Stats Exams<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\">\u00a0<\/span><\/li>\n<li data-leveltext=\"\uf0a7\" data-font=\"Wingdings\" data-listid=\"10\" data-list-defn-props=\"{&quot;335552541&quot;:1,&quot;335559684&quot;:-2,&quot;335559685&quot;:1440,&quot;335559991&quot;:360,&quot;469769226&quot;:&quot;Wingdings&quot;,&quot;469769242&quot;:[9642],&quot;469777803&quot;:&quot;left&quot;,&quot;469777804&quot;:&quot;\uf0a7&quot;,&quot;469777815&quot;:&quot;hybridMultilevel&quot;}\" aria-setsize=\"-1\" data-aria-posinset=\"8\" data-aria-level=\"2\"><span data-contrast=\"auto\">Academic Integrity\u00a0<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\">\u00a0<\/span><\/li>\n<li data-leveltext=\"\uf0a7\" data-font=\"Wingdings\" data-listid=\"10\" data-list-defn-props=\"{&quot;335552541&quot;:1,&quot;335559684&quot;:-2,&quot;335559685&quot;:1440,&quot;335559991&quot;:360,&quot;469769226&quot;:&quot;Wingdings&quot;,&quot;469769242&quot;:[9642],&quot;469777803&quot;:&quot;left&quot;,&quot;469777804&quot;:&quot;\uf0a7&quot;,&quot;469777815&quot;:&quot;hybridMultilevel&quot;}\" aria-setsize=\"-1\" data-aria-posinset=\"9\" data-aria-level=\"2\"><span data-contrast=\"auto\">Equity and Self-Advocacy<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\">\u00a0<\/span><\/li>\n<li data-leveltext=\"\uf0a7\" data-font=\"Wingdings\" data-listid=\"10\" data-list-defn-props=\"{&quot;335552541&quot;:1,&quot;335559684&quot;:-2,&quot;335559685&quot;:1440,&quot;335559991&quot;:360,&quot;469769226&quot;:&quot;Wingdings&quot;,&quot;469769242&quot;:[9642],&quot;469777803&quot;:&quot;left&quot;,&quot;469777804&quot;:&quot;\uf0a7&quot;,&quot;469777815&quot;:&quot;hybridMultilevel&quot;}\" aria-setsize=\"-1\" data-aria-posinset=\"10\" data-aria-level=\"2\"><span data-contrast=\"auto\">Inclusion and Diversity<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\">\u00a0<\/span><\/li>\n<li data-leveltext=\"\uf0a7\" data-font=\"Wingdings\" data-listid=\"10\" data-list-defn-props=\"{&quot;335552541&quot;:1,&quot;335559684&quot;:-2,&quot;335559685&quot;:1440,&quot;335559991&quot;:360,&quot;469769226&quot;:&quot;Wingdings&quot;,&quot;469769242&quot;:[9642],&quot;469777803&quot;:&quot;left&quot;,&quot;469777804&quot;:&quot;\uf0a7&quot;,&quot;469777815&quot;:&quot;hybridMultilevel&quot;}\" aria-setsize=\"-1\" data-aria-posinset=\"11\" data-aria-level=\"2\"><span data-contrast=\"auto\">Problem Solving in Math and Statistics<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\">\u00a0<\/span><\/li>\n<li data-leveltext=\"\uf0a7\" data-font=\"Wingdings\" data-listid=\"10\" data-list-defn-props=\"{&quot;335552541&quot;:1,&quot;335559684&quot;:-2,&quot;335559685&quot;:1440,&quot;335559991&quot;:360,&quot;469769226&quot;:&quot;Wingdings&quot;,&quot;469769242&quot;:[9642],&quot;469777803&quot;:&quot;left&quot;,&quot;469777804&quot;:&quot;\uf0a7&quot;,&quot;469777815&quot;:&quot;hybridMultilevel&quot;}\" aria-setsize=\"-1\" data-aria-posinset=\"12\" data-aria-level=\"2\"><span data-contrast=\"auto\">How to Do Math and Statistics Homework<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\">\u00a0<\/span><\/li>\n<li data-leveltext=\"\uf0a7\" data-font=\"Wingdings\" data-listid=\"10\" data-list-defn-props=\"{&quot;335552541&quot;:1,&quot;335559684&quot;:-2,&quot;335559685&quot;:1440,&quot;335559991&quot;:360,&quot;469769226&quot;:&quot;Wingdings&quot;,&quot;469769242&quot;:[9642],&quot;469777803&quot;:&quot;left&quot;,&quot;469777804&quot;:&quot;\uf0a7&quot;,&quot;469777815&quot;:&quot;hybridMultilevel&quot;}\" aria-setsize=\"-1\" data-aria-posinset=\"13\" data-aria-level=\"2\"><span data-contrast=\"auto\">Online Learning Strategies<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\">\u00a0<\/span><\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>\u00a0<\/p>\n<h2>Strategies for developing complex problem-solving skills<\/h2>\n<ul>\n<li data-leveltext=\"\uf0b7\" data-font=\"Symbol\" data-listid=\"12\" data-list-defn-props=\"{&quot;335552541&quot;:1,&quot;335559684&quot;:-2,&quot;335559685&quot;:360,&quot;335559991&quot;:360,&quot;469769226&quot;:&quot;Symbol&quot;,&quot;469769242&quot;:[8226],&quot;469777803&quot;:&quot;left&quot;,&quot;469777804&quot;:&quot;\uf0b7&quot;,&quot;469777815&quot;:&quot;hybridMultilevel&quot;}\" aria-setsize=\"-1\" data-aria-posinset=\"1\" data-aria-level=\"1\"><span data-contrast=\"auto\">Help students develop language fluency. For example, when covering functions, include difference quotient problems. These problems require students to think through work through a problem that is asked symbolically. <\/span><i><span data-contrast=\"auto\">\u00a0<\/span><\/i><span data-contrast=\"auto\">I purposefully include difference quotient problems as the review problems at the end of various homework assignments since I know they will see this early in their Calculus course.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559685&quot;:720,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\">\u00a0<\/span><\/li>\n<li data-leveltext=\"\uf0b7\" data-font=\"Symbol\" data-listid=\"12\" data-list-defn-props=\"{&quot;335552541&quot;:1,&quot;335559684&quot;:-2,&quot;335559685&quot;:360,&quot;335559991&quot;:360,&quot;469769226&quot;:&quot;Symbol&quot;,&quot;469769242&quot;:[8226],&quot;469777803&quot;:&quot;left&quot;,&quot;469777804&quot;:&quot;\uf0b7&quot;,&quot;469777815&quot;:&quot;hybridMultilevel&quot;}\" aria-setsize=\"-1\" data-aria-posinset=\"2\" data-aria-level=\"1\"><span data-contrast=\"auto\">Help students gain confidence manipulating an expression to put it in a form that is useful or simplified. Two great places to utilize this strategy are when working with complex numbers (multiply by the conjugate) and quadratics (completing the square).<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559685&quot;:720,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\">\u00a0<\/span><\/li>\n<li data-leveltext=\"\uf0b7\" data-font=\"Symbol\" data-listid=\"12\" data-list-defn-props=\"{&quot;335552541&quot;:1,&quot;335559684&quot;:-2,&quot;335559685&quot;:360,&quot;335559991&quot;:360,&quot;469769226&quot;:&quot;Symbol&quot;,&quot;469769242&quot;:[8226],&quot;469777803&quot;:&quot;left&quot;,&quot;469777804&quot;:&quot;\uf0b7&quot;,&quot;469777815&quot;:&quot;hybridMultilevel&quot;}\" aria-setsize=\"-1\" data-aria-posinset=\"3\" data-aria-level=\"1\"><span data-contrast=\"auto\">Introduce students to techniques that will be helpful when solving more difficult problems, like U-substitution. These can be pulled in at various times over the semester, such as when solving:<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559685&quot;:720,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\">\u00a0<\/span><\/li>\n<\/ul>\n<p><img decoding=\"async\" class=\"aligncenter wp-image-3908 size-full\" src=\"https:\/\/blog.cengage.com\/wp-content\/uploads\/2024\/02\/Precalc-Blog-Screenshot-2.png\" alt=\"Screenshot displaying example problems from WebAssign, including: -Polynomial Equations (Question Name: 1.5.093, Question ID: 5412183) -Radical Equations (Question Name: 1.5.098, Question ID: 5412858) -Exponential Equations (Question Name: 4.5.528.XP, Question ID: 5380514\" width=\"694\" height=\"280\" srcset=\"https:\/\/blog.cengage.com\/wp-content\/uploads\/2024\/02\/Precalc-Blog-Screenshot-2.png 694w, https:\/\/blog.cengage.com\/wp-content\/uploads\/2024\/02\/Precalc-Blog-Screenshot-2-300x121.png 300w\" sizes=\"(max-width: 694px) 100vw, 694px\"\/><\/p>\n<ul>\n<li data-leveltext=\"\uf0b7\" data-font=\"Symbol\" data-listid=\"12\" data-list-defn-props=\"{&quot;335552541&quot;:1,&quot;335559684&quot;:-2,&quot;335559685&quot;:360,&quot;335559991&quot;:360,&quot;469769226&quot;:&quot;Symbol&quot;,&quot;469769242&quot;:[8226],&quot;469777803&quot;:&quot;left&quot;,&quot;469777804&quot;:&quot;\uf0b7&quot;,&quot;469777815&quot;:&quot;hybridMultilevel&quot;}\" aria-setsize=\"-1\" data-aria-posinset=\"1\" data-aria-level=\"1\"><span data-contrast=\"auto\">Help students develop their problem-solving skills by utilizing the various Explore Its available in <\/span><i><span data-contrast=\"auto\">WebAssign<\/span><\/i><span data-contrast=\"auto\">.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559685&quot;:720,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\">\u00a0<\/span><\/li>\n<\/ul>\n<p><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\">\u00a0<\/span><\/p>\n<p><span data-contrast=\"auto\">I hope you can use some of these strategies to set your Precalculus students up for success, whether they\u2019re planning on taking Calculus or not. You never know, you may even have given some students the confidence to take Calculus who previously would have avoided it!<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\">\u00a0<\/span><\/p>\n<p>\u00a0<\/p>\n<p><i><span data-contrast=\"auto\">*Referenced problems and their associated question name\u2019s and ID\u2019s are from <a href=\"https:\/\/www.cengage.com\/c\/precalculus-8e-stewart-redlin-watson\/9780357753637\/\">Stewart Precalculus: Mathematics for Calculus 8e<\/a>.<\/span><\/i><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\">\u00a0<\/span><\/p>\n<p>\u00a0<\/p>\n<p><i><span data-contrast=\"auto\"><img loading=\"lazy\" loading=\"lazy\" decoding=\"async\" class=\"alignleft wp-image-3907 size-thumbnail\" src=\"https:\/\/blog.cengage.com\/wp-content\/uploads\/2024\/02\/fpn-network-tracy-zanolini.psd-150x150.jpg\" alt=\"Headshot image of Tracy Zanolini. \" width=\"150\" height=\"150\" srcset=\"https:\/\/blog.cengage.com\/wp-content\/uploads\/2024\/02\/fpn-network-tracy-zanolini.psd-150x150.jpg 150w, https:\/\/blog.cengage.com\/wp-content\/uploads\/2024\/02\/fpn-network-tracy-zanolini.psd-300x300.jpg 300w, https:\/\/blog.cengage.com\/wp-content\/uploads\/2024\/02\/fpn-network-tracy-zanolini.psd.jpg 600w\" sizes=\"auto, (max-width: 150px) 100vw, 150px\"\/><br \/><\/span><\/i><\/p>\n<p>\u00a0<\/p>\n<p><i><span data-contrast=\"auto\">Tracy Zanolini is a Cengage Faculty Partner and Mathematics Instructor at Rowan Cabarrus Community College<\/span><\/i><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:6,&quot;335551620&quot;:6,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\">\u00a0<\/span><\/p>\n<h3\/>\n<p>\u00a0<\/p>\n<h3>Learn more about how <em>WebAssign<\/em> can help build student confidence and skills in your Precalculus course.<\/h3>\n<p>\u00a0<\/p>\n<p>      <!-- .entry-footer -->\n    <\/div>\n<p><br \/>\n<br \/><a href=\"https:\/\/blog.cengage.com\/preparing-precalculus-students-for-future-calculus-success\/\">Source link <\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Published: 2\/21\/2024 Reading Time: 4 minutes In addition to helping students gain the skills needed to be successful in Calculus, a mindfully designed Precalculus course<\/p>\n","protected":false},"author":1,"featured_media":25314,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_monsterinsights_skip_tracking":false,"footnotes":""},"categories":[190],"tags":[],"class_list":["post-25313","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-education"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/newhampshiredigitalnews.com\/index.php\/wp-json\/wp\/v2\/posts\/25313","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/newhampshiredigitalnews.com\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/newhampshiredigitalnews.com\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/newhampshiredigitalnews.com\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/newhampshiredigitalnews.com\/index.php\/wp-json\/wp\/v2\/comments?post=25313"}],"version-history":[{"count":0,"href":"https:\/\/newhampshiredigitalnews.com\/index.php\/wp-json\/wp\/v2\/posts\/25313\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/newhampshiredigitalnews.com\/index.php\/wp-json\/wp\/v2\/media\/25314"}],"wp:attachment":[{"href":"https:\/\/newhampshiredigitalnews.com\/index.php\/wp-json\/wp\/v2\/media?parent=25313"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/newhampshiredigitalnews.com\/index.php\/wp-json\/wp\/v2\/categories?post=25313"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/newhampshiredigitalnews.com\/index.php\/wp-json\/wp\/v2\/tags?post=25313"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}