{"id":5065,"date":"2025-12-09T17:06:19","date_gmt":"2025-12-09T17:06:19","guid":{"rendered":"https:\/\/content.one.lumenlearning.com\/precalculus\/?post_type=chapter&#038;p=5065"},"modified":"2025-12-09T17:06:39","modified_gmt":"2025-12-09T17:06:39","slug":"students-additional-lumen-resources","status":"publish","type":"chapter","link":"https:\/\/content.one.lumenlearning.com\/precalculus\/chapter\/students-additional-lumen-resources\/","title":{"raw":"Students: Additional Lumen Resources","rendered":"Students: Additional Lumen Resources"},"content":{"raw":"<h2 style=\"text-align: left;\"><a id=\"top\"><\/a><img class=\"wp-image-4897 alignright\" src=\"https:\/\/content-cdn.one.lumenlearning.com\/wp-content\/uploads\/sites\/27\/2023\/06\/22133259\/Information-tab-rafiki-e1671129794947.png\" alt=\"A student using a magnifying glass to get a closer look at the details in a data visualization.\" width=\"182\" height=\"163\" \/>Welcome, students!<\/h2>\r\n<p style=\"text-align: left;\">Here, you'll find links to resources to support your learning in this course.<\/p>\r\n<p style=\"text-align: center;\"><span style=\"color: #800080;\"><strong>JUMP TO<\/strong>:\u00a0 <a class=\"anchorLink\" href=\"#cheatsheets\">Cheat Sheets<\/a>\u00a0<strong>| <\/strong><a class=\"anchorLink\" href=\"#practiceproblems\">Guided Notes<\/a>\u00a0<\/span><span style=\"color: #800080;\"><strong>|<\/strong><\/span> <a class=\"anchorLink\" href=\"#links\">Helpful Links<\/a><\/p>\r\n<p style=\"text-align: center;\">------------------------------------------------------<\/p>\r\n\r\n<div class=\"textbox\">\r\n<h3><a id=\"cheatsheets\"><\/a>Cheat Sheets<\/h3>\r\nThese quick-reference notes bring together the most important takeaways from each module in one place. Each cheat sheet highlights essential concepts and provides a glossary of key terms. They\u2019re designed to make studying more efficient by giving you a condensed version of the material so you can review with confidence.\r\n<p class=\"font-claude-response-body break-words whitespace-normal \">Module 1 Cheat Sheet: Introduction to Functions<\/p>\r\n<p class=\"font-claude-response-body break-words whitespace-normal \">Module 2 Cheat Sheet: Working with Functions<\/p>\r\n<p class=\"font-claude-response-body break-words whitespace-normal \">Module 3 Cheat Sheet: Linear Functions<\/p>\r\n<p class=\"font-claude-response-body break-words whitespace-normal \">Module 4 Cheat Sheet: Polynomial Functions<\/p>\r\n<p class=\"font-claude-response-body break-words whitespace-normal \">Module 5 Cheat Sheet: Polynomial Equations<\/p>\r\n<p class=\"font-claude-response-body break-words whitespace-normal \">Module 6 Cheat Sheet: Rational Functions<\/p>\r\n<p class=\"font-claude-response-body break-words whitespace-normal \">Module 7 Cheat Sheet: Exponential and Logarithmic Functions<\/p>\r\n<p class=\"font-claude-response-body break-words whitespace-normal \">Module 8 Cheat Sheet: Exponential and Logarithmic Equations<\/p>\r\n<p class=\"font-claude-response-body break-words whitespace-normal \">Module 9 Cheat Sheet: Systems of Equations and Inequalities<\/p>\r\n<p class=\"font-claude-response-body break-words whitespace-normal \">Module 10 Cheat Sheet: Matrices and Matrix Operations<\/p>\r\n<p class=\"font-claude-response-body break-words whitespace-normal \">Module 11 Cheat Sheet: Sequences and Series<\/p>\r\n<p class=\"font-claude-response-body break-words whitespace-normal \">Module 12 Cheat Sheet: Probability and Counting Theory<\/p>\r\n<p class=\"font-claude-response-body break-words whitespace-normal \">Module 13 Cheat Sheet: Trigonometric Functions<\/p>\r\n<p class=\"font-claude-response-body break-words whitespace-normal \">Module 14 Cheat Sheet: Periodic Functions<\/p>\r\n<p class=\"font-claude-response-body break-words whitespace-normal \">Module 15 Cheat Sheet: Trigonometric Identities and Equations<\/p>\r\n<p class=\"font-claude-response-body break-words whitespace-normal \">Module 16 Cheat Sheet: Triangle Trigonometry<\/p>\r\n<p class=\"font-claude-response-body break-words whitespace-normal \">Module 17 Cheat Sheet: Polar Functions<\/p>\r\n<p class=\"font-claude-response-body break-words whitespace-normal \">Module 18 Cheat Sheet: Parametric Functions and Vectors<\/p>\r\n<p class=\"font-claude-response-body break-words whitespace-normal \">Module 19 Cheat Sheet: Conics<\/p>\r\n<p class=\"font-claude-response-body break-words whitespace-normal \">Module 20 Cheat Sheet: Introduction to Calculus<\/p>\r\n\r\n<\/div>\r\n<div class=\"textbox\">\r\n<h3><a id=\"practiceproblems\"><\/a>Guided Notes - COMING SOON<\/h3>\r\n<p class=\"font-claude-response-body break-words whitespace-normal \">Module 1 Guided Notes: Introduction to Functions<\/p>\r\n<p class=\"font-claude-response-body break-words whitespace-normal \">Module 2 Guided Notes: Working with Functions<\/p>\r\n<p class=\"font-claude-response-body break-words whitespace-normal \">Module 3 Guided Notes: Linear Functions<\/p>\r\n<p class=\"font-claude-response-body break-words whitespace-normal \">Module 4 Guided Notes: Polynomial Functions<\/p>\r\n<p class=\"font-claude-response-body break-words whitespace-normal \">Module 5 Guided Notes: Polynomial Equations<\/p>\r\n<p class=\"font-claude-response-body break-words whitespace-normal \">Module 6 Guided Notes: Rational Functions<\/p>\r\n<p class=\"font-claude-response-body break-words whitespace-normal \">Module 7 Guided Notes: Exponential and Logarithmic Functions<\/p>\r\n<p class=\"font-claude-response-body break-words whitespace-normal \">Module 8 Guided Notes: Exponential and Logarithmic Equations<\/p>\r\n<p class=\"font-claude-response-body break-words whitespace-normal \">Module 9 Guided Notes: Systems of Equations and Inequalities<\/p>\r\n<p class=\"font-claude-response-body break-words whitespace-normal \">Module 10 Guided Notes: Matrices and Matrix Operations<\/p>\r\n<p class=\"font-claude-response-body break-words whitespace-normal \">Module 11 Guided Notes: Sequences and Series<\/p>\r\n<p class=\"font-claude-response-body break-words whitespace-normal \">Module 12 Guided Notes: Probability and Counting Theory<\/p>\r\n<p class=\"font-claude-response-body break-words whitespace-normal \">Module 13 Guided Notes: Trigonometric Functions<\/p>\r\n<p class=\"font-claude-response-body break-words whitespace-normal \">Module 14 Guided Notes: Periodic Functions<\/p>\r\n<p class=\"font-claude-response-body break-words whitespace-normal \">Module 15 Guided Notes: Trigonometric Identities and Equations<\/p>\r\n<p class=\"font-claude-response-body break-words whitespace-normal \">Module 16 Guided Notes: Triangle Trigonometry<\/p>\r\n<p class=\"font-claude-response-body break-words whitespace-normal \">Module 17 Guided Notes: Polar Functions<\/p>\r\n<p class=\"font-claude-response-body break-words whitespace-normal \">Module 18 Guided Notes: Parametric Functions and Vectors<\/p>\r\n<p class=\"font-claude-response-body break-words whitespace-normal \">Module 19 Guided Notes: Conics<\/p>\r\n<p class=\"font-claude-response-body break-words whitespace-normal \">Module 20 Guided Notes: Introduction to Calculus<\/p>\r\n\r\n<\/div>\r\n<div class=\"textbox\">\r\n<h3><a id=\"links\"><\/a>Helpful Links<\/h3>\r\nLinks to external websites if you need some additional review of any concepts.\r\n<ul>\r\n \t<li><a href=\"https:\/\/www.wolframalpha.com\/\">https:\/\/www.wolframalpha.com\/<\/a><\/li>\r\n \t<li><a href=\"https:\/\/www.khanacademy.org\/math\">https:\/\/www.khanacademy.org\/math<\/a><\/li>\r\n \t<li><a href=\"https:\/\/www.purplemath.com\/\" target=\"_blank\" rel=\"noopener\">https:\/\/www.purplemath.com\/<\/a><\/li>\r\n \t<li><a href=\"https:\/\/www.minutemathtutor.com\/\">https:\/\/www.minutemathtutor.com\/<\/a><\/li>\r\n \t<li><a href=\"http:\/\/patrickjmt.com\/\">http:\/\/patrickjmt.com\/<\/a><\/li>\r\n \t<li><a href=\"http:\/\/www.mathispower4u.com\/\">http:\/\/www.mathispower4u.com\/<\/a><\/li>\r\n<\/ul>\r\n<h4>Graphing Calculators<\/h4>\r\nLinks to online graphing calculators that may be helpful to use during this course.\r\n<ul>\r\n \t<li><a href=\"https:\/\/www.desmos.com\/calculator\"><span style=\"font-weight: 400;\">https:\/\/www.desmos.com\/calculator<\/span><\/a><\/li>\r\n \t<li><a href=\"https:\/\/www.meta-calculator.com\/\"><span style=\"font-weight: 400;\">https:\/\/www.meta-calculator.com\/<\/span><\/a><\/li>\r\n \t<li><a href=\"https:\/\/www.geogebra.org\/graphing?lang=en\"><span style=\"font-weight: 400;\">https:\/\/www.geogebra.org\/graphing?lang=en<\/span><\/a><\/li>\r\n \t<li><a href=\"https:\/\/www.graphcalc.com\/online-graphing-calculator\/\"><span style=\"font-weight: 400;\">https:\/\/www.graphcalc.com\/online-graphing-calculator\/<\/span><\/a><\/li>\r\n \t<li><a href=\"https:\/\/www.numworks.com\/simulator\/\"><span style=\"font-weight: 400;\">https:\/\/www.numworks.com\/simulator\/<\/span><\/a><\/li>\r\n<\/ul>\r\n<h4><a href=\"https:\/\/content.one.lumenlearning.com\/collegealgebra\/chapter\/glossary-of-terms\/\">Alphabetical Glossary<\/a><\/h4>\r\n<\/div>\r\n[<a class=\"backToTop\" href=\"#top\">back to top<\/a>]","rendered":"<h2 style=\"text-align: left;\"><a id=\"top\"><\/a><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-4897 alignright\" src=\"https:\/\/content-cdn.one.lumenlearning.com\/wp-content\/uploads\/sites\/27\/2023\/06\/22133259\/Information-tab-rafiki-e1671129794947.png\" alt=\"A student using a magnifying glass to get a closer look at the details in a data visualization.\" width=\"182\" height=\"163\" \/>Welcome, students!<\/h2>\n<p style=\"text-align: left;\">Here, you&#8217;ll find links to resources to support your learning in this course.<\/p>\n<p style=\"text-align: center;\"><span style=\"color: #800080;\"><strong>JUMP TO<\/strong>:\u00a0 <a class=\"anchorLink\" href=\"#cheatsheets\">Cheat Sheets<\/a>\u00a0<strong>| <\/strong><a class=\"anchorLink\" href=\"#practiceproblems\">Guided Notes<\/a>\u00a0<\/span><span style=\"color: #800080;\"><strong>|<\/strong><\/span> <a class=\"anchorLink\" href=\"#links\">Helpful Links<\/a><\/p>\n<p style=\"text-align: center;\">&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;<\/p>\n<div class=\"textbox\">\n<h3><a id=\"cheatsheets\"><\/a>Cheat Sheets<\/h3>\n<p>These quick-reference notes bring together the most important takeaways from each module in one place. Each cheat sheet highlights essential concepts and provides a glossary of key terms. They\u2019re designed to make studying more efficient by giving you a condensed version of the material so you can review with confidence.<\/p>\n<p class=\"font-claude-response-body break-words whitespace-normal\">Module 1 Cheat Sheet: Introduction to Functions<\/p>\n<p class=\"font-claude-response-body break-words whitespace-normal\">Module 2 Cheat Sheet: Working with Functions<\/p>\n<p class=\"font-claude-response-body break-words whitespace-normal\">Module 3 Cheat Sheet: Linear Functions<\/p>\n<p class=\"font-claude-response-body break-words whitespace-normal\">Module 4 Cheat Sheet: Polynomial Functions<\/p>\n<p class=\"font-claude-response-body break-words whitespace-normal\">Module 5 Cheat Sheet: Polynomial Equations<\/p>\n<p class=\"font-claude-response-body break-words whitespace-normal\">Module 6 Cheat Sheet: Rational Functions<\/p>\n<p class=\"font-claude-response-body break-words whitespace-normal\">Module 7 Cheat Sheet: Exponential and Logarithmic Functions<\/p>\n<p class=\"font-claude-response-body break-words whitespace-normal\">Module 8 Cheat Sheet: Exponential and Logarithmic Equations<\/p>\n<p class=\"font-claude-response-body break-words whitespace-normal\">Module 9 Cheat Sheet: Systems of Equations and Inequalities<\/p>\n<p class=\"font-claude-response-body break-words whitespace-normal\">Module 10 Cheat Sheet: Matrices and Matrix Operations<\/p>\n<p class=\"font-claude-response-body break-words whitespace-normal\">Module 11 Cheat Sheet: Sequences and Series<\/p>\n<p class=\"font-claude-response-body break-words whitespace-normal\">Module 12 Cheat Sheet: Probability and Counting Theory<\/p>\n<p class=\"font-claude-response-body break-words whitespace-normal\">Module 13 Cheat Sheet: Trigonometric Functions<\/p>\n<p class=\"font-claude-response-body break-words whitespace-normal\">Module 14 Cheat Sheet: Periodic Functions<\/p>\n<p class=\"font-claude-response-body break-words whitespace-normal\">Module 15 Cheat Sheet: Trigonometric Identities and Equations<\/p>\n<p class=\"font-claude-response-body break-words whitespace-normal\">Module 16 Cheat Sheet: Triangle Trigonometry<\/p>\n<p class=\"font-claude-response-body break-words whitespace-normal\">Module 17 Cheat Sheet: Polar Functions<\/p>\n<p class=\"font-claude-response-body break-words whitespace-normal\">Module 18 Cheat Sheet: Parametric Functions and Vectors<\/p>\n<p class=\"font-claude-response-body break-words whitespace-normal\">Module 19 Cheat Sheet: Conics<\/p>\n<p class=\"font-claude-response-body break-words whitespace-normal\">Module 20 Cheat Sheet: Introduction to Calculus<\/p>\n<\/div>\n<div class=\"textbox\">\n<h3><a id=\"practiceproblems\"><\/a>Guided Notes &#8211; COMING SOON<\/h3>\n<p class=\"font-claude-response-body break-words whitespace-normal\">Module 1 Guided Notes: Introduction to Functions<\/p>\n<p class=\"font-claude-response-body break-words whitespace-normal\">Module 2 Guided Notes: Working with Functions<\/p>\n<p class=\"font-claude-response-body break-words whitespace-normal\">Module 3 Guided Notes: Linear Functions<\/p>\n<p class=\"font-claude-response-body break-words whitespace-normal\">Module 4 Guided Notes: Polynomial Functions<\/p>\n<p class=\"font-claude-response-body break-words whitespace-normal\">Module 5 Guided Notes: Polynomial Equations<\/p>\n<p class=\"font-claude-response-body break-words whitespace-normal\">Module 6 Guided Notes: Rational Functions<\/p>\n<p class=\"font-claude-response-body break-words whitespace-normal\">Module 7 Guided Notes: Exponential and Logarithmic Functions<\/p>\n<p class=\"font-claude-response-body break-words whitespace-normal\">Module 8 Guided Notes: Exponential and Logarithmic Equations<\/p>\n<p class=\"font-claude-response-body break-words whitespace-normal\">Module 9 Guided Notes: Systems of Equations and Inequalities<\/p>\n<p class=\"font-claude-response-body break-words whitespace-normal\">Module 10 Guided Notes: Matrices and Matrix Operations<\/p>\n<p class=\"font-claude-response-body break-words whitespace-normal\">Module 11 Guided Notes: Sequences and Series<\/p>\n<p class=\"font-claude-response-body break-words whitespace-normal\">Module 12 Guided Notes: Probability and Counting Theory<\/p>\n<p class=\"font-claude-response-body break-words whitespace-normal\">Module 13 Guided Notes: Trigonometric Functions<\/p>\n<p class=\"font-claude-response-body break-words whitespace-normal\">Module 14 Guided Notes: Periodic Functions<\/p>\n<p class=\"font-claude-response-body break-words whitespace-normal\">Module 15 Guided Notes: Trigonometric Identities and Equations<\/p>\n<p class=\"font-claude-response-body break-words whitespace-normal\">Module 16 Guided Notes: Triangle Trigonometry<\/p>\n<p class=\"font-claude-response-body break-words whitespace-normal\">Module 17 Guided Notes: Polar Functions<\/p>\n<p class=\"font-claude-response-body break-words whitespace-normal\">Module 18 Guided Notes: Parametric Functions and Vectors<\/p>\n<p class=\"font-claude-response-body break-words whitespace-normal\">Module 19 Guided Notes: Conics<\/p>\n<p class=\"font-claude-response-body break-words whitespace-normal\">Module 20 Guided Notes: Introduction to Calculus<\/p>\n<\/div>\n<div class=\"textbox\">\n<h3><a id=\"links\"><\/a>Helpful Links<\/h3>\n<p>Links to external websites if you need some additional review of any concepts.<\/p>\n<ul>\n<li><a href=\"https:\/\/www.wolframalpha.com\/\">https:\/\/www.wolframalpha.com\/<\/a><\/li>\n<li><a href=\"https:\/\/www.khanacademy.org\/math\">https:\/\/www.khanacademy.org\/math<\/a><\/li>\n<li><a href=\"https:\/\/www.purplemath.com\/\" target=\"_blank\" rel=\"noopener\">https:\/\/www.purplemath.com\/<\/a><\/li>\n<li><a href=\"https:\/\/www.minutemathtutor.com\/\">https:\/\/www.minutemathtutor.com\/<\/a><\/li>\n<li><a href=\"http:\/\/patrickjmt.com\/\">http:\/\/patrickjmt.com\/<\/a><\/li>\n<li><a href=\"http:\/\/www.mathispower4u.com\/\">http:\/\/www.mathispower4u.com\/<\/a><\/li>\n<\/ul>\n<h4>Graphing Calculators<\/h4>\n<p>Links to online graphing calculators that may be helpful to use during this course.<\/p>\n<ul>\n<li><a href=\"https:\/\/www.desmos.com\/calculator\"><span style=\"font-weight: 400;\">https:\/\/www.desmos.com\/calculator<\/span><\/a><\/li>\n<li><a href=\"https:\/\/www.meta-calculator.com\/\"><span style=\"font-weight: 400;\">https:\/\/www.meta-calculator.com\/<\/span><\/a><\/li>\n<li><a href=\"https:\/\/www.geogebra.org\/graphing?lang=en\"><span style=\"font-weight: 400;\">https:\/\/www.geogebra.org\/graphing?lang=en<\/span><\/a><\/li>\n<li><a href=\"https:\/\/www.graphcalc.com\/online-graphing-calculator\/\"><span style=\"font-weight: 400;\">https:\/\/www.graphcalc.com\/online-graphing-calculator\/<\/span><\/a><\/li>\n<li><a href=\"https:\/\/www.numworks.com\/simulator\/\"><span style=\"font-weight: 400;\">https:\/\/www.numworks.com\/simulator\/<\/span><\/a><\/li>\n<\/ul>\n<h4><a href=\"https:\/\/content.one.lumenlearning.com\/collegealgebra\/chapter\/glossary-of-terms\/\">Alphabetical Glossary<\/a><\/h4>\n<\/div>\n<p>[<a class=\"backToTop\" href=\"#top\">back to top<\/a>]<\/p>\n","protected":false},"author":13,"menu_order":2,"template":"","meta":{"_candela_citation":"[]","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"part":5061,"module-header":"- Select Header -","content_attributions":[],"internal_book_links":[{"href":"https:\/\/content.one.lumenlearning.com\/collegealgebra\/chapter\/glossary-of-terms\/","book":"collegealgebra","post_id":0}],"video_content":null,"cc_video_embed_content":{"cc_scripts":"","media_targets":[]},"try_it_collection":null,"_links":{"self":[{"href":"https:\/\/content.one.lumenlearning.com\/precalculus\/wp-json\/pressbooks\/v2\/chapters\/5065"}],"collection":[{"href":"https:\/\/content.one.lumenlearning.com\/precalculus\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/content.one.lumenlearning.com\/precalculus\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/precalculus\/wp-json\/wp\/v2\/users\/13"}],"version-history":[{"count":1,"href":"https:\/\/content.one.lumenlearning.com\/precalculus\/wp-json\/pressbooks\/v2\/chapters\/5065\/revisions"}],"predecessor-version":[{"id":5066,"href":"https:\/\/content.one.lumenlearning.com\/precalculus\/wp-json\/pressbooks\/v2\/chapters\/5065\/revisions\/5066"}],"part":[{"href":"https:\/\/content.one.lumenlearning.com\/precalculus\/wp-json\/pressbooks\/v2\/parts\/5061"}],"metadata":[{"href":"https:\/\/content.one.lumenlearning.com\/precalculus\/wp-json\/pressbooks\/v2\/chapters\/5065\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/content.one.lumenlearning.com\/precalculus\/wp-json\/wp\/v2\/media?parent=5065"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/precalculus\/wp-json\/pressbooks\/v2\/chapter-type?post=5065"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/precalculus\/wp-json\/wp\/v2\/contributor?post=5065"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/precalculus\/wp-json\/wp\/v2\/license?post=5065"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}