{"id":5052,"date":"2025-12-09T16:56:52","date_gmt":"2025-12-09T16:56:52","guid":{"rendered":"https:\/\/content.one.lumenlearning.com\/precalculus\/?post_type=chapter&#038;p=5052"},"modified":"2026-04-01T16:56:32","modified_gmt":"2026-04-01T16:56:32","slug":"faculty-resources","status":"publish","type":"chapter","link":"https:\/\/content.one.lumenlearning.com\/precalculus\/chapter\/faculty-resources\/","title":{"raw":"Faculty Resources","rendered":"Faculty Resources"},"content":{"raw":"<p style=\"text-align: center;\"><img class=\"wp-image-5715 alignright\" src=\"https:\/\/content-cdn.one.lumenlearning.com\/wp-content\/uploads\/sites\/10\/2022\/10\/02185338\/Learning-languages-pana-1024x1024.png\" alt=\"\" width=\"156\" height=\"160\" \/><a id=\"top\"><\/a>This page provides aligned teaching materials for Precalculus, including detailed instructor guides and instructional presentation slides. Each resource is built around Lumen\u2019s framework for Evidence-Based Teaching Practices, with the goal of supporting an active, engaged, and connected classroom \u2014 while also making your job easier.<\/p>\r\n<p style=\"text-align: center;\"><span style=\"color: #800080;\"><strong>JUMP TO<\/strong>:\u00a0 <a class=\"anchorLink\" href=\"#syllabus\">Course Information<\/a>\u00a0<\/span><span style=\"color: #800080;\"><strong>|<\/strong><\/span> <a class=\"anchorLink\" href=\"#guides\">Instructor Guides<\/a> <span style=\"color: #800080;\"><strong>| <\/strong> <a class=\"anchorLink\" href=\"#powerpoint\">Slide Decks<\/a>\u00a0<\/span><span style=\"color: #800080;\"><strong>| <\/strong><a class=\"anchorLink\" href=\"#notes\">Guided Notes<\/a><strong>\r\n<\/strong><a class=\"anchorLink\" href=\"#practice\">Practice Problems + Keys<\/a> <\/span><span style=\"color: #800080;\"><strong>| <\/strong><\/span><a class=\"anchorLink\" href=\"#discussions\">Discussions and Writing Tasks<\/a> <span style=\"color: #800080;\"><strong>|<\/strong><\/span><\/p>\r\n\r\n<section class=\"textbox proTip\" aria-label=\"Pro Tip\">Lumen provides files in either PDF or Google formats depending on its primary use case. PDFs will either pull up in your browser or download onto your computer. To edit Google files, you will need to make your own copy. If you are signed into your own Google Drive account, click the file link, then click the \u201cFile\u201d dropdown menu, and click \u201cMake a copy.\u201d If you do not have a Google account, click the file link, then click the \u201cFile\u201d dropdown menu, and select \u201cDownload\u201d in your preferred file format.<\/section><section class=\"textbox\" style=\"border: none;\">\r\n<h3 style=\"margin-top: 0;\"><a id=\"syllabus\"><\/a>Course Information<\/h3>\r\nYou may want to reference module titles, topic areas, or specific learning outcomes in your syllabus.\r\n<ul>\r\n \t<li><a href=\"https:\/\/docs.google.com\/document\/d\/1uV0sNy9mkvNTYO0AKFb7pJRErV_fF0qkxXqNmICOTic\/edit?usp=sharing\" target=\"_blank\" rel=\"noopener\">Topic List for Precalculus<\/a><\/li>\r\n \t<li><a href=\"https:\/\/docs.google.com\/spreadsheets\/d\/18t85RMEgh9L_7xzqxEizj8TytqLmxJ0A8qBlccHZ_ME\/edit?gid=932271332#gid=932271332\" target=\"_blank\" rel=\"noopener\">Precalculus: Detailed Learning Outcomes<\/a><\/li>\r\n<\/ul>\r\n[<a class=\"anchorLink\" href=\"#top\">return to top<\/a>]\r\n\r\n<\/section><section class=\"textbox\" style=\"border: none;\">\r\n<h3 style=\"margin-top: 0;\"><a id=\"guides\"><\/a>Instructor Guides<\/h3>\r\nInstructor Guides are provided for each module to support active learning, conceptual investigation, and collaboration. Each guide includes an overview of the module content, a summary of what students encounter in key sections, and a list of learning outcomes. You\u2019ll also find engaging classroom activities with accompanying materials such as handouts and worksheets. Activities come with a suggested instructional plan, alignment to evidence-based teaching practices, discussion prompts, and an online variation that can be integrated into your LMS for hybrid or asynchronous classes.\r\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1NaX5tWp6SDWzLiVRIivtCvxwQbLAruJDzS8V_QQ4Fnc\/edit?usp=sharing\" target=\"_blank\" rel=\"noopener\">Module 1 Instructor Guide: Introduction to Functions<\/a><\/p>\r\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1OtqQU4WEaE4b68foIj8SeJlHWUd6UAVi9YDYBilJeYs\/edit?usp=sharing\" target=\"_blank\" rel=\"noopener\"><span data-sheets-root=\"1\">Module 2 Instructor Guide: Working with Functions<\/span><\/a><\/p>\r\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1kjl0RNMZmjhMP03KNN2E6R_R5A0Cb9ZBc9_CahkIIzw\/edit?usp=sharing\" target=\"_blank\" rel=\"noopener\"><span data-sheets-root=\"1\">Module 3 Instructor Guide: Linear Functions<\/span><\/a><\/p>\r\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1-u5wtSv2gjoD3ogl5CwoVr7Jk-EMJR80WXBWBZQ3L2c\/edit?usp=drive_link\" target=\"_blank\" rel=\"noopener\"><span data-sheets-root=\"1\">Module 4 Instructor Guide: Polynomial Functions<\/span><\/a><\/p>\r\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1bDKJ_RPkAr9D_WvzJ7mCyS6Pe5AD6Vp04ttFm1zEQtA\/edit?usp=drive_link\" target=\"_blank\" rel=\"noopener\"><span data-sheets-root=\"1\">Module 5 Instructor Guide: Polynomial Equations<\/span><\/a><\/p>\r\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1PabW2cIFTneN6iiZsD0z5h2Ig_SXkBaF_Habk11Cdi4\/edit?usp=drive_link\"><span data-sheets-root=\"1\">Module 6 Instructor Guide: Rational Functions<\/span><\/a><\/p>\r\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1xrfEiPg3t5t7dqQNX6LzEmdlWbE4ajbwNdbiR2ZvJtA\/edit?usp=drive_link\"><span data-sheets-root=\"1\">Module 7 Instructor Guide: Exponential and Logarithmic Functions<\/span><\/a><\/p>\r\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1iTIFkjbzwQhgfxIytPgKZO9VP_TzZv8nCdN98uYk2LM\/edit?usp=drive_link\"><span data-sheets-root=\"1\">Module 8 Instructor Guide: Exponential and Logarithmic <\/span><span data-sheets-root=\"1\">Equations<\/span><\/a><\/p>\r\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1a1l93pqyCWzisG011FDSiMRd-9o50lEk1z2anDXSnCA\/edit?usp=drive_link\"><span data-sheets-root=\"1\">Module 9 Instructor Guide: Systems of Equations and Inequalities<\/span><\/a><\/p>\r\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1DLHJ4vCVOjdk0-Y-RCY2yK2EUiaUwH0OPzd-YV7vqQA\/edit?usp=drive_link\"><span data-sheets-root=\"1\">Module 10 Instructor Guide: Matrices and Matrix <\/span><span data-sheets-root=\"1\">Operations<\/span><\/a><\/p>\r\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/docs.google.com\/document\/d\/11F3Twcsp_S0Xm3jm8OqqOHWKyFB2fgMPjf97dzjCZHA\/edit?usp=drive_link\"><span data-sheets-root=\"1\">Module 11 Instructor Guide: Sequences<\/span><\/a><\/p>\r\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1AZXfwB4petiAqblIvs3F_iNYHFVLmZtTuBGlWRsaw40\/edit?usp=drive_link\"><span data-sheets-root=\"1\">Module 12 Instructor Guide: Probability and Counting Theory<\/span><\/a><\/p>\r\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1sQG2GzfWFbDqd39eCdQ-zX00Hje7Q5dbRw5pub3mqMA\/edit?usp=drive_link\"><span data-sheets-root=\"1\">Module 13 Instructor Guide: Trigonometric Functions<\/span><\/a><\/p>\r\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1mNgVAeLY5pCKE3D_o0YRhgWpKLTWDOYLJRDDHajY6Jo\/edit?usp=drive_link\"><span data-sheets-root=\"1\">Module 14 Instructor Guide: Periodic Functions<\/span><\/a><\/p>\r\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/docs.google.com\/document\/d\/18LJPRH4_vk_AJcbGbdcobdI8uWvZgpwOHFX0RGXocyU\/edit?usp=drive_link\"><span data-sheets-root=\"1\">Module 15 Instructor Guide: Trigonometric <\/span><span data-sheets-root=\"1\">Identities<\/span><span data-sheets-root=\"1\"> and Equations<\/span><\/a><\/p>\r\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/docs.google.com\/document\/d\/11L-cXX5G1EXsrNhi2K3z00v0aL8pGHFXptSmXqLgbkc\/edit?usp=drive_link\"><span data-sheets-root=\"1\">Module 16 Instructor Guide: Triangle Trigonometry<\/span><\/a><\/p>\r\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1RsAJ6-_29PXdr3xLNR8gVXID-jGX-F4NPACBazjPJVo\/edit?usp=drive_link\"><span data-sheets-root=\"1\">Module 17 Instructor Guide: Polar Functions<\/span><\/a><\/p>\r\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1MVCoTXTXo5Ff_iFy59fdF-jyo_uxPlYDpYzA7FxspX4\/edit?usp=drive_link\"><span data-sheets-root=\"1\">Module 18 Instructor Guide: Parametric Functions and Vectors<\/span><\/a><\/p>\r\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1s3iXdJ9l8D-JsDftSQexASE1Wp3zpsAslNr8prRslkU\/edit?usp=drive_link\"><span data-sheets-root=\"1\">Module 19 Instructor Guide: Conics<\/span><\/a><\/p>\r\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1Sr_JvWNtwETX_6E4rWDcfs9zV4I5rOxmTbRtZqSsY6I\/edit?usp=drive_link\"><span data-sheets-root=\"1\">Module 20 Instructor Guide: Introduction to Calculus<\/span><\/a><\/p>\r\n[<a class=\"anchorLink\" href=\"#top\">return to top<\/a>]\r\n\r\n<\/section><section class=\"textbox\" style=\"border: none;\">\r\n<h3 style=\"margin-top: 0;\"><a id=\"powerpoint\"><\/a>Presentation Slide Decks<\/h3>\r\n<p class=\"p1\">Please note that these slide decks include math content in its original LaTeX code-based format rather than fully rendered equations. We want to be transparent that these slides are a temporary, partial option while we focus our efforts on creating a version that is the highest level of accessibility.<\/p>\r\n<p class=\"p1\">Rather than removing the slide decks entirely, we chose to include them now in case you\u2019d find them useful as a starting point or reference. Our goal is to invest our time in producing a strong, accessible final product rather than dividing effort between interim and final versions. We\u2019re confident the upcoming updates will be a meaningful improvement for all faculty and students!<\/p>\r\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Precalculus\/Precalculus-M1-+Introduction+to+Functions.pptx\" target=\"_blank\" rel=\"noopener\">Module 1 Slides: Introduction to Functions<\/a> - fully ACCESSIBLE PowerPoint<\/p>\r\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Precalculus\/Precalculus-M2-Working+with+Functions.pptx\" target=\"_blank\" rel=\"noopener\"><span data-sheets-root=\"1\">Module 2 Slides: Working with Functions<\/span><\/a> - fully ACCESSIBLE PowerPoint<\/p>\r\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Precalculus\/Precalculus-M3-Linear+Functions.pptx\" target=\"_blank\" rel=\"noopener\"><span data-sheets-root=\"1\">Module 3 Slides: Linear Functions<\/span><\/a> - fully ACCESSIBLE PowerPoint<\/p>\r\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Precalculus\/Precalculus-M4-Polynomial+Functions.pptx\" target=\"_blank\" rel=\"noopener\"><span data-sheets-root=\"1\">Module 4 Slides: Polynomial Functions<\/span><\/a> - fully ACCESSIBLE PowerPoint<\/p>\r\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Precalculus\/Precalculus-M5-Polynomial+Equations.pptx\" target=\"_blank\" rel=\"noopener\"><span data-sheets-root=\"1\">Module 5 Slides: Polynomial Equations<\/span><\/a> - fully ACCESSIBLE PowerPoint<\/p>\r\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Precalculus\/Precalculus-M6-Rational+Functions.pptx\"><span data-sheets-root=\"1\">Module 6 Slides: Rational Functions<\/span><\/a> - fully ACCESSIBLE PowerPoint<\/p>\r\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Precalculus\/Precalculus-M7-Exponential+and+Logarithmic+Functions.pptx\"><span data-sheets-root=\"1\">Module 7 Slides: Exponential and Logarithmic Functions<\/span><\/a> - fully ACCESSIBLE PowerPoint<\/p>\r\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Precalculus\/Precalculus-M8-Exponential+and+Logarithmic+Equations.pptx\"><span data-sheets-root=\"1\">Module 8 Slides: Exponential and Logarithmic Equations<\/span><\/a> - fully ACCESSIBLE PowerPoint<\/p>\r\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/docs.google.com\/presentation\/d\/1FtVeH5aBy8K-CKnajjksXBuHzp0N8-HBWlfIoN4UfEc\/edit?usp=drive_link\"><span data-sheets-root=\"1\">Module 9 Slides: Systems of Equations and Inequalities<\/span><\/a><\/p>\r\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/docs.google.com\/presentation\/d\/1m7aVWxtZPFj-pTCqVKBtljxiVTxbnP3jpZerEO-Hdt8\/edit?usp=drive_link\"><span data-sheets-root=\"1\">Module 10 Slides: Matrices and Matrix Operations<\/span><\/a><\/p>\r\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Precalculus\/Precalculus-M11-Sequences.pptx\"><span data-sheets-root=\"1\">Module 11 Slides: Sequences<\/span><\/a> - fully ACCESSIBLE PowerPoint<\/p>\r\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Precalculus\/Precalculus-M12-Probability+and+Counting+Theory.pptx\"><span data-sheets-root=\"1\">Module 12 Slides: Probability and Counting Theory<\/span><\/a> - fully ACCESSIBLE PowerPoint<\/p>\r\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/docs.google.com\/presentation\/d\/19oVVlL42movdB7Oapl94HDH0y4RIi12zSJ9vQZy13B8\/edit?usp=drive_link\"><span data-sheets-root=\"1\">Module 13 Slides: Trigonometric Functions<\/span><\/a><\/p>\r\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/docs.google.com\/presentation\/d\/1cpe0e1vfU80cZUi5-zCYKyd7d--s9fMOboZmcKRORjc\/edit?usp=drive_link\"><span data-sheets-root=\"1\">Module 14 Slides: Periodic Functions<\/span><\/a><\/p>\r\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/docs.google.com\/presentation\/d\/1djeBkMC-zhD2qWvazHnwNKr9PJkXRayFIEk_ITFSLSU\/edit?usp=drive_link\"><span data-sheets-root=\"1\">Module 15 Slides: Trigonometric Identities and Equations<\/span><\/a><\/p>\r\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/docs.google.com\/presentation\/d\/1v-slQN4VF6rE-s9UUQldjeaMawN9pl3xq-IfiHwWENE\/edit?usp=drive_link\"><span data-sheets-root=\"1\">Module 16 Slides: Triangle Trigonometry<\/span><\/a><\/p>\r\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/docs.google.com\/presentation\/d\/16rku9S-Kjlci3C6auWRv95uQT2odel4RWUIjGp2WCfo\/edit?usp=drive_link\"><span data-sheets-root=\"1\">Module 17 Slides: Polar Functions<\/span><\/a><\/p>\r\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/docs.google.com\/presentation\/d\/1UitmIWq7v_e1PXYUOIqUS1b9yrv2ZRenuVx6btVLkpc\/edit?usp=drive_link\"><span data-sheets-root=\"1\">Module 18 Slides: Parametric Functions and Vectors<\/span><\/a><\/p>\r\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/docs.google.com\/presentation\/d\/11UsjG6ao3YdulwLtA_ABVn4ROL0LodMs8foY0MLTjEc\/edit?usp=drive_link\"><span data-sheets-root=\"1\">Module 19 Slides: Conics<\/span><\/a><\/p>\r\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/docs.google.com\/presentation\/d\/1fI-TR02WoeMwCmkYHU35fx0ICdI4CtEP5EoTdEHWJ_s\/edit?usp=drive_link\"><span data-sheets-root=\"1\">Module 20 Slides: Introduction to Calculus<\/span><\/a><\/p>\r\n[<a class=\"anchorLink\" href=\"#top\">return to top<\/a>]\r\n\r\n<\/section><section class=\"textbox\" style=\"border: none;\">\r\n<h3 style=\"margin-top: 0;\"><a id=\"notes\"><\/a>Guided Notes - COMING SOON<\/h3>\r\nAs an instructor, you have the option of encouraging student use of these guided notes (they can access them through the course link \u201cStudents: Additional Lumen Resources\u201d). These guides serve as a flexible, scaffolded tool to support student learning throughout the course, whether note-taking in class or working through the Study Plan. Though not comprehensive, they do provide a minimal outline for students to follow and may also be useful as a study guide for students.\r\n\r\n<strong>Instructions for students<\/strong>: These notes are designed to help you follow along with the material if you find that helpful. You\u2019re welcome to use these guided notes, modify them, or not use them at all \u2013 it\u2019s entirely up to you. They won\u2019t be collected or graded; they\u2019re simply there as an extra tool if you want it.\r\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1R5D6Qo2qsDEzzMcP5Sm-EDjlERVq8Xx9izoEi-Fyp5s\/edit?usp=drive_link\" target=\"_blank\" rel=\"noopener\">Module 1 Guided Notes: Introduction to Functions<\/a><\/p>\r\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1UFibJnAiiJYWUuJm7yECqlAUxKZmQguN1_3kfYnyn74\/edit?usp=drive_link\" target=\"_blank\" rel=\"noopener\"><span data-sheets-root=\"1\">Module 2 Guided Notes: Working with Functions<\/span><\/a><\/p>\r\n<p style=\"padding-left: 40px;\"><span data-sheets-root=\"1\">Module 3 Guided Notes: Linear Functions<\/span><\/p>\r\n<p style=\"padding-left: 40px;\"><span data-sheets-root=\"1\">Module 4 Guided Notes: Polynomial Functions<\/span><\/p>\r\n<p style=\"padding-left: 40px;\"><span data-sheets-root=\"1\">Module 5 Guided Notes: Polynomial Equations<\/span><\/p>\r\n<p style=\"padding-left: 40px;\"><span data-sheets-root=\"1\">Module 6 Guided Notes: Rational Functions<\/span><\/p>\r\n[<a class=\"anchorLink\" href=\"#top\">return to top<\/a>]\r\n\r\n<\/section><section class=\"textbox\" style=\"border: none;\">\r\n<h2 style=\"margin-top: 0;\"><a id=\"practice\"><\/a>Get Stronger Practice Problems<\/h2>\r\nIntroduction to Functions: <a href=\"https:\/\/content.one.lumenlearning.com\/precalculus\/chapter\/introduction-to-functions-get-stronger\/\">Get Stronger<\/a>\r\n\r\n<span data-sheets-root=\"1\">Working with Functions: <a href=\"https:\/\/content.one.lumenlearning.com\/precalculus\/chapter\/working-with-functions-get-stronger\/\">Get Stronger<\/a><\/span>\r\n\r\n<span data-sheets-root=\"1\">Linear Functions: <a href=\"https:\/\/content.one.lumenlearning.com\/precalculus\/chapter\/linear-functions-get-stronger\/\">Get Stronger<\/a><\/span>\r\n\r\n<span data-sheets-root=\"1\">Polynomial Functions: <a href=\"https:\/\/content.one.lumenlearning.com\/precalculus\/chapter\/polynomial-functions-get-stronger\/\">Get Stronger<\/a>\u00a0<\/span>\r\n\r\n<span data-sheets-root=\"1\">Polynomial Equations: <a href=\"https:\/\/content.one.lumenlearning.com\/precalculus\/chapter\/polynomial-equations-get-stronger\/\">Get Stronger<\/a>\u00a0<\/span>\r\n\r\n<span data-sheets-root=\"1\">Rational Functions: <a href=\"https:\/\/content.one.lumenlearning.com\/precalculus\/chapter\/rational-functions-get-stronger\/\">Get Stronger<\/a>\u00a0<\/span>\r\n\r\n<span data-sheets-root=\"1\">Exponential and Logarithmic Functions: <a href=\"https:\/\/content.one.lumenlearning.com\/precalculus\/chapter\/exponential-and-logarithmic-functions-get-stronger\/\">Get Stronger<\/a>\u00a0<\/span>\r\n\r\n<span data-sheets-root=\"1\">Exponential and Logarithmic Equations: <a href=\"https:\/\/content.one.lumenlearning.com\/precalculus\/chapter\/exponential-and-logarithmic-equations-get-stronger\/\">Get Stronger<\/a>\u00a0<\/span>\r\n\r\n<span data-sheets-root=\"1\">Systems of Equations and Inequalities: <a href=\"https:\/\/content.one.lumenlearning.com\/precalculus\/chapter\/systems-of-equations-and-inequalities-get-stronger\/\">Get Stronger<\/a>\u00a0<\/span>\r\n\r\n<span data-sheets-root=\"1\">Matrix and Matrix Operations: <a href=\"https:\/\/content.one.lumenlearning.com\/precalculus\/chapter\/matrices-and-matrix-operations-get-stronger\/\">Get Stronge<\/a>r\u00a0<\/span>\r\n\r\n<span data-sheets-root=\"1\">Sequences: <a href=\"https:\/\/content.one.lumenlearning.com\/precalculus\/chapter\/sequences-get-stronger\/\">Get Stronger<\/a>\u00a0<\/span>\r\n\r\n<span data-sheets-root=\"1\">Probability and Counting Theory: <a href=\"https:\/\/content.one.lumenlearning.com\/precalculus\/chapter\/probability-and-counting-theory-get-stronger\/\">Get Stronger<\/a>\u00a0<\/span>\r\n\r\n<span data-sheets-root=\"1\">Trigonometric Functions: <a href=\"https:\/\/content.one.lumenlearning.com\/precalculus\/chapter\/trigonometric-functions-get-stronger\/\">Get Stronger<\/a>\u00a0<\/span>\r\n\r\n<span data-sheets-root=\"1\">Periodic Functions: <a href=\"https:\/\/content.one.lumenlearning.com\/precalculus\/chapter\/periodic-functions-get-stronger\/\">Get Stronger<\/a>\u00a0<\/span>\r\n\r\n<span data-sheets-root=\"1\">Trigonometric Identities and Equations: <a href=\"https:\/\/content.one.lumenlearning.com\/precalculus\/chapter\/trigonometric-identities-and-equations\/\">Get Stronger<\/a>\u00a0<\/span>\r\n\r\n<span data-sheets-root=\"1\">Triangle Trigonometry: <a href=\"https:\/\/content.one.lumenlearning.com\/precalculus\/chapter\/triangle-trigonometry-get-stronger\/\">Get Stronger<\/a>\u00a0<\/span>\r\n\r\n<span data-sheets-root=\"1\">Polar Functions: <a href=\"https:\/\/content.one.lumenlearning.com\/precalculus\/chapter\/polar-functions-get-stronger\/\">Get Stronger<\/a>\u00a0<\/span>\r\n\r\n<span data-sheets-root=\"1\">Parametric Functions and Vectors: <a href=\"https:\/\/content.one.lumenlearning.com\/precalculus\/chapter\/parametric-functions-and-vectors-get-stronger\/\">Get Stronger<\/a>\u00a0<\/span>\r\n\r\n<span data-sheets-root=\"1\">Conic Sections: <a href=\"https:\/\/content.one.lumenlearning.com\/precalculus\/chapter\/conics-get-stronger\/\">Get Stronger<\/a>\u00a0<\/span>\r\n\r\n<span data-sheets-root=\"1\">Introduction to Calculus: <a href=\"https:\/\/content.one.lumenlearning.com\/precalculus\/chapter\/introduction-to-calculus-get-stronger\/\">Get Stronger<\/a>\u00a0<\/span>\r\n\r\n&nbsp;\r\n\r\n[<a class=\"anchorLink\" href=\"#top\">return to top<\/a>]\r\n\r\n<\/section><section class=\"textbox\" style=\"border: none;\">\r\n<h3 style=\"margin-top: 0;\"><a id=\"epub\"><\/a>Offline Content Access<\/h3>\r\n<strong>NOTE:<\/strong> the epub contains the<strong> Learn It and Apply It content only<\/strong>. There are no interactives, videos, practice questions, or assessments included in these files and some images will not display in this format. You will need to download and open the epub within an e-reader, such as iBooks or ReadEra.\r\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Precalculus\/Lumen-Learning-Precalculus-012326.epub\" target=\"_blank\" rel=\"noopener\">Precalculus EPUB<\/a><\/p>\r\nThis epub is designed to assist you in preparation for your course(s) using Lumen OHM or as a resource for students requiring accessibility accommodations.<br aria-hidden=\"true\" \/>If your students are interested in a printed version of the Learn It and Apply It content, we offer 3-hole punched copies which can be ordered through your bookstore or <a class=\"c-link\" href=\"https:\/\/coursepacksetc.com\/product-category\/lumen-learning\/\" target=\"_blank\" rel=\"noopener noreferrer\" data-stringify-link=\"https:\/\/coursepacksetc.com\/product-category\/lumen-learning\/\" data-sk=\"tooltip_parent\">directly by students here<\/a>.\r\n\r\n[<a class=\"anchorLink\" href=\"#top\">return to top<\/a>]\r\n\r\n<\/section>","rendered":"<p style=\"text-align: center;\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-5715 alignright\" src=\"https:\/\/content-cdn.one.lumenlearning.com\/wp-content\/uploads\/sites\/10\/2022\/10\/02185338\/Learning-languages-pana-1024x1024.png\" alt=\"\" width=\"156\" height=\"160\" \/><a id=\"top\"><\/a>This page provides aligned teaching materials for Precalculus, including detailed instructor guides and instructional presentation slides. Each resource is built around Lumen\u2019s framework for Evidence-Based Teaching Practices, with the goal of supporting an active, engaged, and connected classroom \u2014 while also making your job easier.<\/p>\n<p style=\"text-align: center;\"><span style=\"color: #800080;\"><strong>JUMP TO<\/strong>:\u00a0 <a class=\"anchorLink\" href=\"#syllabus\">Course Information<\/a>\u00a0<\/span><span style=\"color: #800080;\"><strong>|<\/strong><\/span> <a class=\"anchorLink\" href=\"#guides\">Instructor Guides<\/a> <span style=\"color: #800080;\"><strong>| <\/strong> <a class=\"anchorLink\" href=\"#powerpoint\">Slide Decks<\/a>\u00a0<\/span><span style=\"color: #800080;\"><strong>| <\/strong><a class=\"anchorLink\" href=\"#notes\">Guided Notes<\/a><strong><br \/>\n<\/strong><a class=\"anchorLink\" href=\"#practice\">Practice Problems + Keys<\/a> <\/span><span style=\"color: #800080;\"><strong>| <\/strong><\/span><a class=\"anchorLink\" href=\"#discussions\">Discussions and Writing Tasks<\/a> <span style=\"color: #800080;\"><strong>|<\/strong><\/span><\/p>\n<section class=\"textbox proTip\" aria-label=\"Pro Tip\">Lumen provides files in either PDF or Google formats depending on its primary use case. PDFs will either pull up in your browser or download onto your computer. To edit Google files, you will need to make your own copy. If you are signed into your own Google Drive account, click the file link, then click the \u201cFile\u201d dropdown menu, and click \u201cMake a copy.\u201d If you do not have a Google account, click the file link, then click the \u201cFile\u201d dropdown menu, and select \u201cDownload\u201d in your preferred file format.<\/section>\n<section class=\"textbox\" style=\"border: none;\">\n<h3 style=\"margin-top: 0;\"><a id=\"syllabus\"><\/a>Course Information<\/h3>\n<p>You may want to reference module titles, topic areas, or specific learning outcomes in your syllabus.<\/p>\n<ul>\n<li><a href=\"https:\/\/docs.google.com\/document\/d\/1uV0sNy9mkvNTYO0AKFb7pJRErV_fF0qkxXqNmICOTic\/edit?usp=sharing\" target=\"_blank\" rel=\"noopener\">Topic List for Precalculus<\/a><\/li>\n<li><a href=\"https:\/\/docs.google.com\/spreadsheets\/d\/18t85RMEgh9L_7xzqxEizj8TytqLmxJ0A8qBlccHZ_ME\/edit?gid=932271332#gid=932271332\" target=\"_blank\" rel=\"noopener\">Precalculus: Detailed Learning Outcomes<\/a><\/li>\n<\/ul>\n<p>[<a class=\"anchorLink\" href=\"#top\">return to top<\/a>]<\/p>\n<\/section>\n<section class=\"textbox\" style=\"border: none;\">\n<h3 style=\"margin-top: 0;\"><a id=\"guides\"><\/a>Instructor Guides<\/h3>\n<p>Instructor Guides are provided for each module to support active learning, conceptual investigation, and collaboration. Each guide includes an overview of the module content, a summary of what students encounter in key sections, and a list of learning outcomes. You\u2019ll also find engaging classroom activities with accompanying materials such as handouts and worksheets. Activities come with a suggested instructional plan, alignment to evidence-based teaching practices, discussion prompts, and an online variation that can be integrated into your LMS for hybrid or asynchronous classes.<\/p>\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1NaX5tWp6SDWzLiVRIivtCvxwQbLAruJDzS8V_QQ4Fnc\/edit?usp=sharing\" target=\"_blank\" rel=\"noopener\">Module 1 Instructor Guide: Introduction to Functions<\/a><\/p>\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1OtqQU4WEaE4b68foIj8SeJlHWUd6UAVi9YDYBilJeYs\/edit?usp=sharing\" target=\"_blank\" rel=\"noopener\"><span data-sheets-root=\"1\">Module 2 Instructor Guide: Working with Functions<\/span><\/a><\/p>\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1kjl0RNMZmjhMP03KNN2E6R_R5A0Cb9ZBc9_CahkIIzw\/edit?usp=sharing\" target=\"_blank\" rel=\"noopener\"><span data-sheets-root=\"1\">Module 3 Instructor Guide: Linear Functions<\/span><\/a><\/p>\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1-u5wtSv2gjoD3ogl5CwoVr7Jk-EMJR80WXBWBZQ3L2c\/edit?usp=drive_link\" target=\"_blank\" rel=\"noopener\"><span data-sheets-root=\"1\">Module 4 Instructor Guide: Polynomial Functions<\/span><\/a><\/p>\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1bDKJ_RPkAr9D_WvzJ7mCyS6Pe5AD6Vp04ttFm1zEQtA\/edit?usp=drive_link\" target=\"_blank\" rel=\"noopener\"><span data-sheets-root=\"1\">Module 5 Instructor Guide: Polynomial Equations<\/span><\/a><\/p>\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1PabW2cIFTneN6iiZsD0z5h2Ig_SXkBaF_Habk11Cdi4\/edit?usp=drive_link\"><span data-sheets-root=\"1\">Module 6 Instructor Guide: Rational Functions<\/span><\/a><\/p>\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1xrfEiPg3t5t7dqQNX6LzEmdlWbE4ajbwNdbiR2ZvJtA\/edit?usp=drive_link\"><span data-sheets-root=\"1\">Module 7 Instructor Guide: Exponential and Logarithmic Functions<\/span><\/a><\/p>\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1iTIFkjbzwQhgfxIytPgKZO9VP_TzZv8nCdN98uYk2LM\/edit?usp=drive_link\"><span data-sheets-root=\"1\">Module 8 Instructor Guide: Exponential and Logarithmic <\/span><span data-sheets-root=\"1\">Equations<\/span><\/a><\/p>\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1a1l93pqyCWzisG011FDSiMRd-9o50lEk1z2anDXSnCA\/edit?usp=drive_link\"><span data-sheets-root=\"1\">Module 9 Instructor Guide: Systems of Equations and Inequalities<\/span><\/a><\/p>\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1DLHJ4vCVOjdk0-Y-RCY2yK2EUiaUwH0OPzd-YV7vqQA\/edit?usp=drive_link\"><span data-sheets-root=\"1\">Module 10 Instructor Guide: Matrices and Matrix <\/span><span data-sheets-root=\"1\">Operations<\/span><\/a><\/p>\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/docs.google.com\/document\/d\/11F3Twcsp_S0Xm3jm8OqqOHWKyFB2fgMPjf97dzjCZHA\/edit?usp=drive_link\"><span data-sheets-root=\"1\">Module 11 Instructor Guide: Sequences<\/span><\/a><\/p>\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1AZXfwB4petiAqblIvs3F_iNYHFVLmZtTuBGlWRsaw40\/edit?usp=drive_link\"><span data-sheets-root=\"1\">Module 12 Instructor Guide: Probability and Counting Theory<\/span><\/a><\/p>\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1sQG2GzfWFbDqd39eCdQ-zX00Hje7Q5dbRw5pub3mqMA\/edit?usp=drive_link\"><span data-sheets-root=\"1\">Module 13 Instructor Guide: Trigonometric Functions<\/span><\/a><\/p>\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1mNgVAeLY5pCKE3D_o0YRhgWpKLTWDOYLJRDDHajY6Jo\/edit?usp=drive_link\"><span data-sheets-root=\"1\">Module 14 Instructor Guide: Periodic Functions<\/span><\/a><\/p>\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/docs.google.com\/document\/d\/18LJPRH4_vk_AJcbGbdcobdI8uWvZgpwOHFX0RGXocyU\/edit?usp=drive_link\"><span data-sheets-root=\"1\">Module 15 Instructor Guide: Trigonometric <\/span><span data-sheets-root=\"1\">Identities<\/span><span data-sheets-root=\"1\"> and Equations<\/span><\/a><\/p>\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/docs.google.com\/document\/d\/11L-cXX5G1EXsrNhi2K3z00v0aL8pGHFXptSmXqLgbkc\/edit?usp=drive_link\"><span data-sheets-root=\"1\">Module 16 Instructor Guide: Triangle Trigonometry<\/span><\/a><\/p>\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1RsAJ6-_29PXdr3xLNR8gVXID-jGX-F4NPACBazjPJVo\/edit?usp=drive_link\"><span data-sheets-root=\"1\">Module 17 Instructor Guide: Polar Functions<\/span><\/a><\/p>\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1MVCoTXTXo5Ff_iFy59fdF-jyo_uxPlYDpYzA7FxspX4\/edit?usp=drive_link\"><span data-sheets-root=\"1\">Module 18 Instructor Guide: Parametric Functions and Vectors<\/span><\/a><\/p>\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1s3iXdJ9l8D-JsDftSQexASE1Wp3zpsAslNr8prRslkU\/edit?usp=drive_link\"><span data-sheets-root=\"1\">Module 19 Instructor Guide: Conics<\/span><\/a><\/p>\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1Sr_JvWNtwETX_6E4rWDcfs9zV4I5rOxmTbRtZqSsY6I\/edit?usp=drive_link\"><span data-sheets-root=\"1\">Module 20 Instructor Guide: Introduction to Calculus<\/span><\/a><\/p>\n<p>[<a class=\"anchorLink\" href=\"#top\">return to top<\/a>]<\/p>\n<\/section>\n<section class=\"textbox\" style=\"border: none;\">\n<h3 style=\"margin-top: 0;\"><a id=\"powerpoint\"><\/a>Presentation Slide Decks<\/h3>\n<p class=\"p1\">Please note that these slide decks include math content in its original LaTeX code-based format rather than fully rendered equations. We want to be transparent that these slides are a temporary, partial option while we focus our efforts on creating a version that is the highest level of accessibility.<\/p>\n<p class=\"p1\">Rather than removing the slide decks entirely, we chose to include them now in case you\u2019d find them useful as a starting point or reference. Our goal is to invest our time in producing a strong, accessible final product rather than dividing effort between interim and final versions. We\u2019re confident the upcoming updates will be a meaningful improvement for all faculty and students!<\/p>\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Precalculus\/Precalculus-M1-+Introduction+to+Functions.pptx\" target=\"_blank\" rel=\"noopener\">Module 1 Slides: Introduction to Functions<\/a> &#8211; fully ACCESSIBLE PowerPoint<\/p>\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Precalculus\/Precalculus-M2-Working+with+Functions.pptx\" target=\"_blank\" rel=\"noopener\"><span data-sheets-root=\"1\">Module 2 Slides: Working with Functions<\/span><\/a> &#8211; fully ACCESSIBLE PowerPoint<\/p>\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Precalculus\/Precalculus-M3-Linear+Functions.pptx\" target=\"_blank\" rel=\"noopener\"><span data-sheets-root=\"1\">Module 3 Slides: Linear Functions<\/span><\/a> &#8211; fully ACCESSIBLE PowerPoint<\/p>\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Precalculus\/Precalculus-M4-Polynomial+Functions.pptx\" target=\"_blank\" rel=\"noopener\"><span data-sheets-root=\"1\">Module 4 Slides: Polynomial Functions<\/span><\/a> &#8211; fully ACCESSIBLE PowerPoint<\/p>\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Precalculus\/Precalculus-M5-Polynomial+Equations.pptx\" target=\"_blank\" rel=\"noopener\"><span data-sheets-root=\"1\">Module 5 Slides: Polynomial Equations<\/span><\/a> &#8211; fully ACCESSIBLE PowerPoint<\/p>\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Precalculus\/Precalculus-M6-Rational+Functions.pptx\"><span data-sheets-root=\"1\">Module 6 Slides: Rational Functions<\/span><\/a> &#8211; fully ACCESSIBLE PowerPoint<\/p>\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Precalculus\/Precalculus-M7-Exponential+and+Logarithmic+Functions.pptx\"><span data-sheets-root=\"1\">Module 7 Slides: Exponential and Logarithmic Functions<\/span><\/a> &#8211; fully ACCESSIBLE PowerPoint<\/p>\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Precalculus\/Precalculus-M8-Exponential+and+Logarithmic+Equations.pptx\"><span data-sheets-root=\"1\">Module 8 Slides: Exponential and Logarithmic Equations<\/span><\/a> &#8211; fully ACCESSIBLE PowerPoint<\/p>\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/docs.google.com\/presentation\/d\/1FtVeH5aBy8K-CKnajjksXBuHzp0N8-HBWlfIoN4UfEc\/edit?usp=drive_link\"><span data-sheets-root=\"1\">Module 9 Slides: Systems of Equations and Inequalities<\/span><\/a><\/p>\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/docs.google.com\/presentation\/d\/1m7aVWxtZPFj-pTCqVKBtljxiVTxbnP3jpZerEO-Hdt8\/edit?usp=drive_link\"><span data-sheets-root=\"1\">Module 10 Slides: Matrices and Matrix Operations<\/span><\/a><\/p>\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Precalculus\/Precalculus-M11-Sequences.pptx\"><span data-sheets-root=\"1\">Module 11 Slides: Sequences<\/span><\/a> &#8211; fully ACCESSIBLE PowerPoint<\/p>\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Precalculus\/Precalculus-M12-Probability+and+Counting+Theory.pptx\"><span data-sheets-root=\"1\">Module 12 Slides: Probability and Counting Theory<\/span><\/a> &#8211; fully ACCESSIBLE PowerPoint<\/p>\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/docs.google.com\/presentation\/d\/19oVVlL42movdB7Oapl94HDH0y4RIi12zSJ9vQZy13B8\/edit?usp=drive_link\"><span data-sheets-root=\"1\">Module 13 Slides: Trigonometric Functions<\/span><\/a><\/p>\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/docs.google.com\/presentation\/d\/1cpe0e1vfU80cZUi5-zCYKyd7d--s9fMOboZmcKRORjc\/edit?usp=drive_link\"><span data-sheets-root=\"1\">Module 14 Slides: Periodic Functions<\/span><\/a><\/p>\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/docs.google.com\/presentation\/d\/1djeBkMC-zhD2qWvazHnwNKr9PJkXRayFIEk_ITFSLSU\/edit?usp=drive_link\"><span data-sheets-root=\"1\">Module 15 Slides: Trigonometric Identities and Equations<\/span><\/a><\/p>\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/docs.google.com\/presentation\/d\/1v-slQN4VF6rE-s9UUQldjeaMawN9pl3xq-IfiHwWENE\/edit?usp=drive_link\"><span data-sheets-root=\"1\">Module 16 Slides: Triangle Trigonometry<\/span><\/a><\/p>\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/docs.google.com\/presentation\/d\/16rku9S-Kjlci3C6auWRv95uQT2odel4RWUIjGp2WCfo\/edit?usp=drive_link\"><span data-sheets-root=\"1\">Module 17 Slides: Polar Functions<\/span><\/a><\/p>\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/docs.google.com\/presentation\/d\/1UitmIWq7v_e1PXYUOIqUS1b9yrv2ZRenuVx6btVLkpc\/edit?usp=drive_link\"><span data-sheets-root=\"1\">Module 18 Slides: Parametric Functions and Vectors<\/span><\/a><\/p>\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/docs.google.com\/presentation\/d\/11UsjG6ao3YdulwLtA_ABVn4ROL0LodMs8foY0MLTjEc\/edit?usp=drive_link\"><span data-sheets-root=\"1\">Module 19 Slides: Conics<\/span><\/a><\/p>\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/docs.google.com\/presentation\/d\/1fI-TR02WoeMwCmkYHU35fx0ICdI4CtEP5EoTdEHWJ_s\/edit?usp=drive_link\"><span data-sheets-root=\"1\">Module 20 Slides: Introduction to Calculus<\/span><\/a><\/p>\n<p>[<a class=\"anchorLink\" href=\"#top\">return to top<\/a>]<\/p>\n<\/section>\n<section class=\"textbox\" style=\"border: none;\">\n<h3 style=\"margin-top: 0;\"><a id=\"notes\"><\/a>Guided Notes &#8211; COMING SOON<\/h3>\n<p>As an instructor, you have the option of encouraging student use of these guided notes (they can access them through the course link \u201cStudents: Additional Lumen Resources\u201d). These guides serve as a flexible, scaffolded tool to support student learning throughout the course, whether note-taking in class or working through the Study Plan. Though not comprehensive, they do provide a minimal outline for students to follow and may also be useful as a study guide for students.<\/p>\n<p><strong>Instructions for students<\/strong>: These notes are designed to help you follow along with the material if you find that helpful. You\u2019re welcome to use these guided notes, modify them, or not use them at all \u2013 it\u2019s entirely up to you. They won\u2019t be collected or graded; they\u2019re simply there as an extra tool if you want it.<\/p>\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1R5D6Qo2qsDEzzMcP5Sm-EDjlERVq8Xx9izoEi-Fyp5s\/edit?usp=drive_link\" target=\"_blank\" rel=\"noopener\">Module 1 Guided Notes: Introduction to Functions<\/a><\/p>\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1UFibJnAiiJYWUuJm7yECqlAUxKZmQguN1_3kfYnyn74\/edit?usp=drive_link\" target=\"_blank\" rel=\"noopener\"><span data-sheets-root=\"1\">Module 2 Guided Notes: Working with Functions<\/span><\/a><\/p>\n<p style=\"padding-left: 40px;\"><span data-sheets-root=\"1\">Module 3 Guided Notes: Linear Functions<\/span><\/p>\n<p style=\"padding-left: 40px;\"><span data-sheets-root=\"1\">Module 4 Guided Notes: Polynomial Functions<\/span><\/p>\n<p style=\"padding-left: 40px;\"><span data-sheets-root=\"1\">Module 5 Guided Notes: Polynomial Equations<\/span><\/p>\n<p style=\"padding-left: 40px;\"><span data-sheets-root=\"1\">Module 6 Guided Notes: Rational Functions<\/span><\/p>\n<p>[<a class=\"anchorLink\" href=\"#top\">return to top<\/a>]<\/p>\n<\/section>\n<section class=\"textbox\" style=\"border: none;\">\n<h2 style=\"margin-top: 0;\"><a id=\"practice\"><\/a>Get Stronger Practice Problems<\/h2>\n<p>Introduction to Functions: <a href=\"https:\/\/content.one.lumenlearning.com\/precalculus\/chapter\/introduction-to-functions-get-stronger\/\">Get Stronger<\/a><\/p>\n<p><span data-sheets-root=\"1\">Working with Functions: <a href=\"https:\/\/content.one.lumenlearning.com\/precalculus\/chapter\/working-with-functions-get-stronger\/\">Get Stronger<\/a><\/span><\/p>\n<p><span data-sheets-root=\"1\">Linear Functions: <a href=\"https:\/\/content.one.lumenlearning.com\/precalculus\/chapter\/linear-functions-get-stronger\/\">Get Stronger<\/a><\/span><\/p>\n<p><span data-sheets-root=\"1\">Polynomial Functions: <a href=\"https:\/\/content.one.lumenlearning.com\/precalculus\/chapter\/polynomial-functions-get-stronger\/\">Get Stronger<\/a>\u00a0<\/span><\/p>\n<p><span data-sheets-root=\"1\">Polynomial Equations: <a href=\"https:\/\/content.one.lumenlearning.com\/precalculus\/chapter\/polynomial-equations-get-stronger\/\">Get Stronger<\/a>\u00a0<\/span><\/p>\n<p><span data-sheets-root=\"1\">Rational Functions: <a href=\"https:\/\/content.one.lumenlearning.com\/precalculus\/chapter\/rational-functions-get-stronger\/\">Get Stronger<\/a>\u00a0<\/span><\/p>\n<p><span data-sheets-root=\"1\">Exponential and Logarithmic Functions: <a href=\"https:\/\/content.one.lumenlearning.com\/precalculus\/chapter\/exponential-and-logarithmic-functions-get-stronger\/\">Get Stronger<\/a>\u00a0<\/span><\/p>\n<p><span data-sheets-root=\"1\">Exponential and Logarithmic Equations: <a href=\"https:\/\/content.one.lumenlearning.com\/precalculus\/chapter\/exponential-and-logarithmic-equations-get-stronger\/\">Get Stronger<\/a>\u00a0<\/span><\/p>\n<p><span data-sheets-root=\"1\">Systems of Equations and Inequalities: <a href=\"https:\/\/content.one.lumenlearning.com\/precalculus\/chapter\/systems-of-equations-and-inequalities-get-stronger\/\">Get Stronger<\/a>\u00a0<\/span><\/p>\n<p><span data-sheets-root=\"1\">Matrix and Matrix Operations: <a href=\"https:\/\/content.one.lumenlearning.com\/precalculus\/chapter\/matrices-and-matrix-operations-get-stronger\/\">Get Stronge<\/a>r\u00a0<\/span><\/p>\n<p><span data-sheets-root=\"1\">Sequences: <a href=\"https:\/\/content.one.lumenlearning.com\/precalculus\/chapter\/sequences-get-stronger\/\">Get Stronger<\/a>\u00a0<\/span><\/p>\n<p><span data-sheets-root=\"1\">Probability and Counting Theory: <a href=\"https:\/\/content.one.lumenlearning.com\/precalculus\/chapter\/probability-and-counting-theory-get-stronger\/\">Get Stronger<\/a>\u00a0<\/span><\/p>\n<p><span data-sheets-root=\"1\">Trigonometric Functions: <a href=\"https:\/\/content.one.lumenlearning.com\/precalculus\/chapter\/trigonometric-functions-get-stronger\/\">Get Stronger<\/a>\u00a0<\/span><\/p>\n<p><span data-sheets-root=\"1\">Periodic Functions: <a href=\"https:\/\/content.one.lumenlearning.com\/precalculus\/chapter\/periodic-functions-get-stronger\/\">Get Stronger<\/a>\u00a0<\/span><\/p>\n<p><span data-sheets-root=\"1\">Trigonometric Identities and Equations: <a href=\"https:\/\/content.one.lumenlearning.com\/precalculus\/chapter\/trigonometric-identities-and-equations\/\">Get Stronger<\/a>\u00a0<\/span><\/p>\n<p><span data-sheets-root=\"1\">Triangle Trigonometry: <a href=\"https:\/\/content.one.lumenlearning.com\/precalculus\/chapter\/triangle-trigonometry-get-stronger\/\">Get Stronger<\/a>\u00a0<\/span><\/p>\n<p><span data-sheets-root=\"1\">Polar Functions: <a href=\"https:\/\/content.one.lumenlearning.com\/precalculus\/chapter\/polar-functions-get-stronger\/\">Get Stronger<\/a>\u00a0<\/span><\/p>\n<p><span data-sheets-root=\"1\">Parametric Functions and Vectors: <a href=\"https:\/\/content.one.lumenlearning.com\/precalculus\/chapter\/parametric-functions-and-vectors-get-stronger\/\">Get Stronger<\/a>\u00a0<\/span><\/p>\n<p><span data-sheets-root=\"1\">Conic Sections: <a href=\"https:\/\/content.one.lumenlearning.com\/precalculus\/chapter\/conics-get-stronger\/\">Get Stronger<\/a>\u00a0<\/span><\/p>\n<p><span data-sheets-root=\"1\">Introduction to Calculus: <a href=\"https:\/\/content.one.lumenlearning.com\/precalculus\/chapter\/introduction-to-calculus-get-stronger\/\">Get Stronger<\/a>\u00a0<\/span><\/p>\n<p>&nbsp;<\/p>\n<p>[<a class=\"anchorLink\" href=\"#top\">return to top<\/a>]<\/p>\n<\/section>\n<section class=\"textbox\" style=\"border: none;\">\n<h3 style=\"margin-top: 0;\"><a id=\"epub\"><\/a>Offline Content Access<\/h3>\n<p><strong>NOTE:<\/strong> the epub contains the<strong> Learn It and Apply It content only<\/strong>. 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