{"id":4198,"date":"2024-07-26T16:45:52","date_gmt":"2024-07-26T16:45:52","guid":{"rendered":"https:\/\/content.one.lumenlearning.com\/calculus1\/?post_type=chapter&#038;p=4198"},"modified":"2026-04-01T16:56:51","modified_gmt":"2026-04-01T16:56:51","slug":"teaching-resources","status":"publish","type":"chapter","link":"https:\/\/content.one.lumenlearning.com\/calculus1\/chapter\/teaching-resources\/","title":{"raw":"Teaching Resources","rendered":"Teaching 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\" \/><\/p>\r\n<p style=\"text-align: center;\"><a id=\"top\"><\/a>This page provides aligned teaching materials for Calculus I, 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><a id=\"top\"><\/a>JUMP TO<\/strong>:\u00a0 \u00a0<a class=\"anchorLink\" href=\"#syllabus\">Course Information<\/a><\/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=\"#practice\">Practice Problems + Keys<\/a> <br \/>\r\n\u00a0<a class=\"anchorLink\" href=\"#ssa\">Guided Notes<\/a> <strong>| <\/strong><\/span><a class=\"anchorLink\" href=\"#discussions\">Discussions, Writing Tasks, and AI Activities<\/a> <span style=\"color: #800080;\"> <span style=\"color: #800080;\"><strong>| <\/strong><a class=\"anchorLink\" href=\"#capstone\">Capstone Project<\/a><\/span><\/span><\/p>\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>\r\n<section aria-label=\"Pro Tip\">\r\n<section class=\"textbox\" style=\"border: none;\">\r\n<h3 style=\"margin-top: 0;\"><a id=\"syllabus\"><\/a>Course Information<\/h3>\r\n<p>You may want to reference module titles, topic areas, or specific learning outcomes in your syllabus.<\/p>\r\n<ul>\r\n\t<li><a href=\"https:\/\/docs.google.com\/document\/d\/1s0vJ3C01f7uG_XmZ5BUREaBH9iaRRJHwg-3Ee9Tl428\/edit?usp=sharing\" target=\"_blank\" rel=\"noopener\">Topic List for Calculus I<\/a><\/li>\r\n\t<li><a href=\"https:\/\/docs.google.com\/spreadsheets\/d\/1ggSWHlmeCCXZk5Gbxt5C-_G2MwkeUF3yDCj7_TLT0O0\/edit?usp=sharing\" target=\"_blank\" rel=\"noopener\">Calculus I: Detailed Learning Outcomes<\/a><\/li>\r\n<\/ul>\r\n<p>[<a class=\"anchorLink\" href=\"#top\">return to top<\/a>]<\/p>\r\n<\/section>\r\n<\/section>\r\n<section class=\"textbox\" style=\"border: none;\">\r\n<h3 style=\"margin-top: 0;\"><a id=\"guides\"><\/a>Instructor Guides<\/h3>\r\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>\r\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1zK_fx3-oHTXLjKifME84cg1ZW401fKXe_lsCZXrZkig\/edit?usp=sharing\">Module 1 <\/a><a href=\"https:\/\/docs.google.com\/document\/d\/1zK_fx3-oHTXLjKifME84cg1ZW401fKXe_lsCZXrZkig\/edit?usp=sharing\">Instructor Guide<\/a><a href=\"https:\/\/docs.google.com\/document\/d\/1zK_fx3-oHTXLjKifME84cg1ZW401fKXe_lsCZXrZkig\/edit?usp=sharing\">: Basic Functions and Graphs<\/a><br \/>\r\n<a href=\"https:\/\/docs.google.com\/document\/d\/18R66sEikj-gQYNSphoTvyDt8WLVl9OlZpab9u67LBjg\/edit?usp=sharing\">Module 2 Instructor Guide: More Basic Functions and Graphs<\/a> <br \/>\r\n<a href=\"https:\/\/docs.google.com\/document\/d\/18rlirusJTIfecm-VPx28s1eqIVLv-GNUtV_J0zFRyWc\/edit?usp=sharing\">Module 3 Instructor Guide: Understanding Limits<\/a><br \/>\r\n<a href=\"https:\/\/docs.google.com\/document\/d\/1M6PHBSXT9fc8Iw20mbGqO5iZ2H6x8YShnJC_lE46ND8\/edit?usp=sharing\">Module 4 Instructor Guide: Limits and Continuity<\/a><br \/>\r\n<a href=\"https:\/\/docs.google.com\/document\/d\/1QF1pgLVApT9msgRyO6pMrwOK8RUqIlEcOFyGomhHRFM\/edit?usp=sharing\">Module 5 Instructor Guide: Introduction to Derivatives<\/a><br \/>\r\n<a href=\"https:\/\/docs.google.com\/document\/d\/1SKypxLvZ7XEJaO_QVzVfynOvq0LantpW5SGY4Pfrk2U\/edit?usp=sharing\">Module 6 Instructor Guide: Techniques for Differentiation<\/a><br \/>\r\n<a href=\"https:\/\/docs.google.com\/document\/d\/1Y1YMH7tvixiLCv9o5vbRA-vDG7h4XIkdXWt42AEHTjI\/edit?usp=sharing\">Module 7 Instructor Guide: Analytical Applications of Derivatives<\/a><br \/>\r\n<a href=\"https:\/\/docs.google.com\/document\/d\/1jeKfuxpLceaE1EX4z_7vAilJEvFHfiIDa7F-v813e7E\/edit?usp=sharing\">Module 8 Instructor Guide: Contextual Applications of Derivatives<\/a><br \/>\r\n<a href=\"https:\/\/docs.google.com\/document\/d\/1sPEqg7qrLxWp40xcPgjWgcOFWIgZyTQ06MdNPTrl-RI\/edit?usp=sharing\">Module 9 Instructor Guide: Introduction to Integration<\/a><br \/>\r\n<a href=\"https:\/\/docs.google.com\/document\/d\/1uR22kNRAif943FrY5wZ7vOV7gH9MaX-z9u-DMN1DZ6Q\/edit?usp=sharing\">Module 10 Instructor Guide: Techniques for Integration<\/a><br \/>\r\n<a href=\"https:\/\/docs.google.com\/document\/d\/1vpVvhV55VeDde4cvNdZizFXZowf_tsBqCVs8P-UwZwU\/edit?usp=sharing\">Module 11 Instructor Guide: Application of Integration<\/a><br \/>\r\n<a href=\"https:\/\/docs.google.com\/document\/d\/1w_vjb5X0cvERvKRzWLwT_lJm6RJkABKgfjZirSR4H30\/edit?usp=sharing\">Module 12 Instructor Guide:Physical Applications of Integration<\/a><br \/>\r\n<a href=\"https:\/\/docs.google.com\/document\/d\/1xi8aopdDgCvDc67z07nJJDEIapaa2UZtbnGTiEDD9gk\/edit?usp=sharing\">Module 13 Instructor Guide: Integration of Exponential, Logarithmic, and Hyperbolic Functions<\/a><\/p>\r\n<p style=\"padding-left: 40px;\">[<a class=\"anchorLink\" href=\"#top\">return to top<\/a>]<\/p>\r\n<\/section>\r\n<section class=\"textbox\" style=\"border: none;\">\r\n<h3 style=\"margin-top: 0;\"><a id=\"powerpoint\"><\/a>Presentation Slides<\/h3>\r\n<p>You can download a PPT or make a copy and customize these Google Slide decks to serve as a visual guide and companion to each suggested lesson. They include student-friendly learning outcomes, sample class affirmations, ideas for engagement and details for each activity.<\/p>\r\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/docs.google.com\/presentation\/d\/1j9-XHCLxKO-FY8FYnkPgja2QQBNtLhcYDMjGRq_ohPs\/edit?usp=sharing\">Module 1 Slides: Basic Functions and Graphs<\/a><br \/>\r\n<a href=\"https:\/\/docs.google.com\/presentation\/d\/1pvHjbCrm3IxZTfk1usknHj36XeZZ76-Kf6XRXeN4Nfo\/edit?usp=sharing\">Module 2 Slides: More Basic Functions and Graphs<\/a><br \/>\r\n<a href=\"https:\/\/docs.google.com\/presentation\/d\/1phaRmMSDE85_BF5GJWvKh8rgN6iq2W6EQru6TZYHS38\/edit?usp=sharing\">Module 3 Slides: Understanding Limits<\/a><br \/>\r\n<a href=\"https:\/\/docs.google.com\/presentation\/d\/1oZJ8zjIdgSIck2dalCkniPaohRpRWca2xq3Wa1QsQcA\/edit?usp=sharing\">Module 4 Slides: Limits and Continuity<\/a><br \/>\r\n<a href=\"https:\/\/docs.google.com\/presentation\/d\/1hsftzYcHk5J2RhIkLsWGuTNWyJK5pnO78M7ZBD8mrFE\/edit?usp=sharing\">Module 5 Slides: Introduction to Derivatives<\/a><br \/>\r\n<a href=\"https:\/\/docs.google.com\/presentation\/d\/1du8r3f48_KnBw-c-i9PYT7tBConTY05rBU6jQ5AnjFY\/edit?usp=sharing\">Module 6 Slides: Techniques for Differentiation<\/a><br \/>\r\n<a href=\"https:\/\/docs.google.com\/presentation\/d\/1djHUHMBr1ZFByjHgvsIOfollC7-9Wph378pvohUhLE4\/edit?usp=sharing\">Module 7 Slides: Analytical Applications of Derivatives<\/a><br \/>\r\n<a href=\"https:\/\/docs.google.com\/presentation\/d\/1b5GM5dk0KdSSo1i3Zz3ubyjiG7AqkAmsHWTKCRcyjVM\/edit?usp=sharing\">Module 8 Slides: Contextual Applications of Derivatives<\/a><br \/>\r\n<a href=\"https:\/\/docs.google.com\/presentation\/d\/1aNVtDhxCI9-Vh7jJIEQpdtyPlbr1M0woLay-UXuvOks\/edit?usp=sharing\">Module 9 Slides: Introduction to Integration<\/a><br \/>\r\n<a href=\"https:\/\/docs.google.com\/presentation\/d\/1QkWkL4c8T9nDuaNfQWzoxF_HL7a3dm90UCgvGPA6E08\/edit?usp=sharing\">Module 10 Slides: Techniques for Integration<\/a><br \/>\r\n<a href=\"https:\/\/docs.google.com\/presentation\/d\/1Nl0ggowBD1McRIwmDi-5FbWo_v48Y9MFfRilnlqkRXM\/edit?usp=sharing\">Module 11 Slides: Applications of Integration<\/a><br \/>\r\n<a href=\"https:\/\/docs.google.com\/presentation\/d\/11q9sK5LiZQiEEuO9WeLewnbw2ryt6BKCiVUfb7OwX_4\/edit?usp=sharing\">Module 12 Slides: Physical Applications of Integration<\/a><br \/>\r\n<a href=\"https:\/\/docs.google.com\/presentation\/d\/11kD0vZlRliyrSFLa2r47jaDTBGswRKNXq0fchfpkOVQ\/edit?usp=sharing\">Module 13 Slides: Integration of Exponential, Logarithmic, and Hyperbolic Functions<\/a><\/p>\r\n<p><br \/>\r\n[<a class=\"anchorLink\" href=\"#top\">return to top<\/a>]<\/p>\r\n<\/section>\r\n<section class=\"textbox\" style=\"border: none;\">\r\n<h3 style=\"margin-top: 0;\"><a id=\"practice\"><\/a>Get Stronger Practice Problems<\/h3>\r\n<a href=\"https:\/\/content.one.lumenlearning.com\/calculus1\/chapter\/basic-functions-and-graphs-get-stronger\/\">Basic Functions and Graphs: Get Stronger<\/a> + <a href=\"https:\/\/content.one.lumenlearning.com\/qrpracticepages\/chapter\/basic-functions-and-graphs-get-stronger-answer-key\/\">Answer Key<br \/>\r\n<\/a><a href=\"https:\/\/content.one.lumenlearning.com\/calculus1\/chapter\/more-basic-functions-and-graphs-get-stronger\/\">More Basic Functions and Graphs: Get Stronger<\/a> + <a href=\"https:\/\/content.one.lumenlearning.com\/qrpracticepages\/chapter\/more-basic-functions-and-graphs-get-stronger-answer-key\/\">Answer Key<\/a>\u00a0<br \/>\r\n<a href=\"https:\/\/content.one.lumenlearning.com\/calculus1\/chapter\/understanding-limits-get-stronger\/\">Understanding Limits: Get Stronger<\/a> + <a href=\"https:\/\/content.one.lumenlearning.com\/qrpracticepages\/chapter\/understanding-limits-get-stronger-answer-key\/\">Answer Key<\/a><br \/>\r\n<a href=\"https:\/\/content.one.lumenlearning.com\/calculus1\/chapter\/limits-and-continuity-get-stronger\/\">Limits and Continuity: Get Stronger<\/a> + <a href=\"https:\/\/content.one.lumenlearning.com\/qrpracticepages\/chapter\/limits-and-continuity-get-stronger-answer-key\/\">Answer Key<\/a>\u00a0<br \/>\r\n<a href=\"https:\/\/content.one.lumenlearning.com\/calculus1\/chapter\/introduction-to-derivatives-get-stronger\/\">Introduction to Derivatives: Get Stronger<\/a> + <a href=\"https:\/\/content.one.lumenlearning.com\/qrpracticepages\/chapter\/introduction-to-derivatives-get-stronger-answer-key\/\">Answer Key<\/a> <br \/>\r\n<a href=\"https:\/\/content.one.lumenlearning.com\/calculus1\/chapter\/techniques-for-differentiation-get-stronger\/\">Techniques for Differentiation: Get Stronger<\/a> + <a href=\"https:\/\/content.one.lumenlearning.com\/qrpracticepages\/chapter\/techniques-for-differentiation-get-stronger-answer-key\/\">Answer Key<\/a>\u00a0<br \/>\r\n<a href=\"https:\/\/content.one.lumenlearning.com\/calculus1\/chapter\/analytical-applications-of-derivatives-get-stronger\/\">Analytical Applications of Derivatives: Get Stronger<\/a> + <a href=\"https:\/\/content.one.lumenlearning.com\/qrpracticepages\/chapter\/analytical-applications-of-derivatives-get-stronger-answer-key\/\">Answer Key<\/a>\u00a0<br \/>\r\n<a href=\"https:\/\/content.one.lumenlearning.com\/calculus1\/chapter\/contextual-applications-of-derivatives-get-stronger\/\">Contextual Applications of Derivatives: Get Stronger<\/a> + <a href=\"https:\/\/content.one.lumenlearning.com\/qrpracticepages\/chapter\/contextual-applications-of-derivatives-get-stronger-answer-key\/\">Answer Key<\/a> <br \/>\r\n<a href=\"https:\/\/content.one.lumenlearning.com\/calculus1\/chapter\/introduction-to-integration-get-stronger\/\">Introduction to Integration: Get Stronger<\/a> + <a href=\"https:\/\/content.one.lumenlearning.com\/qrpracticepages\/chapter\/introduction-to-integration-get-stronger-answer-key\/\">Answer Key<\/a>\u00a0<br \/>\r\n<a href=\"https:\/\/content.one.lumenlearning.com\/calculus1\/chapter\/techniques-for-integration-get-stronger\/\">Techniques for Integration: Get Stronger<\/a> + <a href=\"https:\/\/content.one.lumenlearning.com\/qrpracticepages\/chapter\/techniques-for-integration-get-stronger-answer-key\/\">Answer Key<\/a>\u00a0<br \/>\r\n<a href=\"https:\/\/content.one.lumenlearning.com\/calculus1\/chapter\/applications-of-integration-get-stronger\/\">Applications of Integration: Get Stronger<\/a> + <a href=\"https:\/\/content.one.lumenlearning.com\/qrpracticepages\/chapter\/applications-of-integration-get-stronger-answer-key\/\">Answer Key<\/a> <br \/>\r\n<a href=\"https:\/\/content.one.lumenlearning.com\/calculus1\/chapter\/physical-applications-of-integration-get-stronger\/\">Physical Applications of Integration: Get Stronger<\/a> + <a href=\"https:\/\/content.one.lumenlearning.com\/qrpracticepages\/chapter\/physical-applications-of-integration-get-stronger-answer-key\/\">Answer Key<\/a>\u00a0<br \/>\r\n<a href=\"https:\/\/content.one.lumenlearning.com\/calculus1\/chapter\/integration-of-exponential-logarithmic-and-hyperbolic-functions-get-stronger\/\">Integration of Exponential, Logarithmic, and Hyperbolic Functions: Get Stronger<\/a> + <a href=\"https:\/\/content.one.lumenlearning.com\/qrpracticepages\/chapter\/integration-of-exponential-logarithmic-and-hyperbolic-functions-get-stronger-answer-key\/\">Answer Key<\/a>\u00a0<br \/>\r\n<br \/>\r\n[<a class=\"anchorLink\" href=\"#top\">return to top<\/a>]<br \/>\r\n<br \/>\r\n<\/section>\r\n<section class=\"textbox\" style=\"border: none;\">\r\n<h3 style=\"margin-top: 0;\"><a id=\"discussions\"><\/a>Discussions, Writing Tasks, and AI Activities<\/h3>\r\n<table style=\"border-collapse: collapse; width: 100%; height: 308px;\">\r\n<thead>\r\n<tr style=\"height: 22px;\">\r\n<th style=\"height: 22px; width: 25%; text-align: center;\">Module<\/th>\r\n<th style=\"height: 22px; width: 25%; text-align: center;\">Discussion<\/th>\r\n<th style=\"height: 22px; width: 25%; text-align: center;\">Writing Task<\/th>\r\n<th style=\"height: 22px; width: 25%; text-align: center;\">AI Activities<\/th>\r\n<\/tr>\r\n<\/thead>\r\n<tbody>\r\n<tr style=\"height: 22px;\">\r\n<td style=\"width: 25%; height: 22px; text-align: center;\">Basic Functions and Graphs<\/td>\r\n<td style=\"width: 25%; height: 22px; text-align: left;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1ZDMHSfMIFJaBq1bT1RuGk0A-qAP3tBQl8MkJAtVTv9w\/edit?usp=sharing\">Function Behavior and Application Discussion<\/a><\/td>\r\n<td style=\"width: 25%; height: 22px; text-align: left;\">\r\n<p><a href=\"https:\/\/docs.google.com\/document\/d\/1biLTeKZAfFHBxJG9vTIj-AQzAaJDyPJhlxo_oDaukPM\/edit?usp=sharing\">Function Transformations Writing Task: Creating a Designer Function<\/a><\/p>\r\n<p><a href=\"https:\/\/docs.google.com\/document\/d\/1G1iBy9RfijD_doqmwOPuhcsxH7OOposjzn2ri61msZc\/edit?usp=sharing\">Relations and Functions in Real Life<\/a><\/p>\r\n<\/td>\r\n<td style=\"width: 25%; height: 22px; text-align: center;\"><a href=\"https:\/\/docs.google.com\/document\/d\/194mQrDJYsTmv6bEoZCfoytjUHyyQodBFjSKsugkSRTs\/edit?usp=sharing\">Basic Functions and Graphs AI Activity<\/a><\/td>\r\n<\/tr>\r\n<tr style=\"height: 22px;\">\r\n<td style=\"width: 25%; height: 22px; text-align: center;\">More Basic Functions and Graphs<\/td>\r\n<td style=\"width: 25%; height: 22px; text-align: left;\">\r\n<p><a href=\"https:\/\/docs.google.com\/document\/d\/1Qlq4wegw40FwfOSlsaesIVMildQwgRNqTKsOfZRWq1Q\/edit?usp=sharing\">Trigonometric Functions in the Real World Discussion<\/a><\/p>\r\n<\/td>\r\n<td style=\"width: 25%; height: 22px; text-align: left;\">\r\n<p><a href=\"https:\/\/docs.google.com\/document\/d\/1LhYIJN7abcTjdXdfZbddhj0OOirkwhi2txzSa339EzY\/edit?usp=sharing\">Inverse Function Analysis Writing Task<\/a><\/p>\r\n<p><a href=\"https:\/\/docs.google.com\/document\/d\/1_OGaDqCO8_g0QrXgxdhLfwavpEuMWwpzUNQM7g3F-bQ\/edit?usp=sharing\">Inverse Functions and Cryptography<\/a><\/p>\r\n<\/td>\r\n<td style=\"width: 25%; height: 22px; text-align: center;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1wfbQap3PzvnmR_NyIqj-jr3KfmC022lOotD-HKZN2wA\/edit?usp=sharing\">More Basic Functions and Graphs AI Activity<\/a><\/td>\r\n<\/tr>\r\n<tr style=\"height: 22px;\">\r\n<td style=\"width: 25%; height: 22px; text-align: center;\">Understanding Limits<\/td>\r\n<td style=\"width: 25%; height: 22px; text-align: left;\">\r\n<p><a href=\"https:\/\/docs.google.com\/document\/d\/1I-EDIFeMnwhQQQt9QK05ojPPA_LSUtCDSE4GZlwpcy0\/edit?usp=sharing\">The Tangent Problem in Real-World Applications Discussion<\/a><\/p>\r\n<\/td>\r\n<td style=\"width: 25%; height: 22px; text-align: left;\">\r\n<p><a href=\"https:\/\/docs.google.com\/document\/d\/1mz8jevrHjruKvjIJVNHqnqFiSuZny9Wmd_dGLu7pjUE\/edit?usp=sharing\">Limit Analysis in Rate of Change Problems Writing Task<\/a><\/p>\r\n<p><a href=\"https:\/\/docs.google.com\/document\/d\/1bXRQKN6LrYLdy4V-oMkhu1jArHnQaQEGRgPhdH2uIZc\/edit?usp=sharing\">Limits and the Area of a Circle\u00a0<\/a><\/p>\r\n<\/td>\r\n<td style=\"width: 25%; height: 22px; text-align: center;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1s80uOKKw7UVUuzh0LocaIlJGD5K8QuETg4_Dn3NvmAE\/edit?usp=sharing\">Understanding Limits AI Activity<\/a><\/td>\r\n<\/tr>\r\n<tr style=\"height: 22px;\">\r\n<td style=\"width: 25%; height: 22px; text-align: center;\">Limits and Continuity<\/td>\r\n<td style=\"width: 25%; height: 22px; text-align: left;\"><a href=\"https:\/\/docs.google.com\/document\/d\/12M2-l_N8945Dxj6LIX2eesQZ1VnzTJ9cDbDqZyE86S4\/edit?usp=sharing\">Analyzing Function Continuity Discussion<\/a><\/td>\r\n<td style=\"width: 25%; height: 22px; text-align: left;\">\r\n<p><a href=\"https:\/\/docs.google.com\/document\/d\/1yOJdrfWl4Ag2ulWgLoELOTp3Vu7YbTO4bHMmTruEJL8\/edit?usp=sharing\">Precise Definitions of Limits Writing Task<\/a><\/p>\r\n<\/td>\r\n<td style=\"width: 25%; height: 22px; text-align: center;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1mGOG8cK99b_Sv43hseo1YJmurtd9ssZr1KfSsH11eUI\/edit?usp=sharing\">Limits and Continuity AI Activity<\/a><\/td>\r\n<\/tr>\r\n<tr style=\"height: 22px;\">\r\n<td style=\"width: 25%; height: 22px; text-align: center;\">Introduction to Derivatives<\/td>\r\n<td style=\"width: 25%; height: 22px; text-align: left;\">\r\n<p><a href=\"https:\/\/docs.google.com\/document\/d\/1EhGviaP_u4uudYS4F234DtgwaP7s8foFtLgMVQJ5yWo\/edit?usp=sharing\">Exploring Derivatives and Their Applications Discussion<\/a><\/p>\r\n<\/td>\r\n<td style=\"width: 25%; height: 22px; text-align: left;\">\r\n<p><a href=\"https:\/\/docs.google.com\/document\/d\/16m9ziw5jJDV-t-bXZvNfrtPvpkJi25sdO8LvY3crC4w\/edit?usp=sharing\">Differentiation Rules and Applications Writing Task<\/a><\/p>\r\n<p><a href=\"https:\/\/docs.google.com\/document\/d\/1m5OT0PVUuo9VdupFyt5bhrR9mElmK2PKf7KehCvFQSo\/edit?usp=sharing\">Rates of Change and COVID-19<\/a><\/p>\r\n<\/td>\r\n<td style=\"width: 25%; height: 22px; text-align: center;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1jH01MhZ82IUxg7Kdi-dG6PvNXnC18Rc7A9V-EBdA9nI\/edit?usp=sharing\">Introduction to Derivatives AI Activity<\/a><\/td>\r\n<\/tr>\r\n<tr style=\"height: 22px;\">\r\n<td style=\"width: 25%; height: 22px; text-align: center;\">Techniques for Differentiation<\/td>\r\n<td style=\"width: 25%; height: 22px; text-align: left;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1awQVFBKY-EVxkC-cRzC0LKvIsa4TmvWpkTHxDqS1yfM\/edit?usp=sharing\">Trigonometric Derivatives in Physical Systems Discussion<\/a><\/td>\r\n<td style=\"width: 25%; height: 22px; text-align: left;\">\r\n<p><a href=\"https:\/\/docs.google.com\/document\/d\/1ySP7r1Q4z-C6KB8p9TQVwFZaCdiV8hxXIkv17Zw4xH0\/edit?usp=sharing\">Chain Rule and Implicit Differentiation Applications Writing Task<\/a><\/p>\r\n<p><a href=\"https:\/\/docs.google.com\/document\/d\/1lOCZ5oS3als7S4cgjbg9kgponHmg3LvrMrR0ROd1mpg\/edit?usp=sharing\">Patterns in Higher Order Derivatives<\/a><\/p>\r\n<\/td>\r\n<td style=\"width: 25%; height: 22px; text-align: center;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1f1ecXeCdhCs6VNqjZgBe_Tet6wy4KZyxnJAw5GdKlOo\/edit?usp=sharing\">Techniques for Differentiation AI Activity<\/a><\/td>\r\n<\/tr>\r\n<tr style=\"height: 22px;\">\r\n<td style=\"width: 25%; height: 22px; text-align: center;\"><span data-sheets-root=\"1\">Analytical Applications of Derivatives<\/span><\/td>\r\n<td style=\"width: 25%; height: 22px; text-align: left;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1179GRRjMiyU-RjPc1vg1I-BNQ0PKEc8-renoqORMFdY\/edit?usp=sharing\">Understanding Real-World Change Through Related Rates Discussion<\/a><\/td>\r\n<td style=\"width: 25%; height: 22px; text-align: left;\">\r\n<p><a href=\"https:\/\/docs.google.com\/document\/d\/1W2zszi5xJAyE4mc8ulbK0ka-Ze2CEtSYY0UNgnWVPV0\/edit?usp=sharing\">Linearization and Optimization Applications Writing Task<\/a><\/p>\r\n<p><a href=\"https:\/\/docs.google.com\/document\/d\/12fXHpr5K_oploRijN42ipC0EMKWEufyaB3oYSq5C3do\/edit?usp=sharing\">Shapes of Graphs and COVID-19<\/a><\/p>\r\n<p><a href=\"https:\/\/docs.google.com\/document\/d\/1sxkfDcdHxNxxDJG2pAv5jhKfJvk6Ga98SD0hL3GFJu8\/edit?usp=sharing\">The Mean Value Theorem and Rate of Change<\/a><\/p>\r\n<\/td>\r\n<td style=\"width: 25%; height: 22px; text-align: center;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1aDGzcXql2bf_OTCcbx8qffFmurcCjZz1VxLVtIGEkWc\/edit?usp=sharing\">Analytical Applications of Derivatives AI Activity<\/a><\/td>\r\n<\/tr>\r\n<tr style=\"height: 22px;\">\r\n<td style=\"width: 25%; height: 22px; text-align: center;\"><span data-sheets-root=\"1\">Contextual Applications of Derivatives<\/span><\/td>\r\n<td style=\"width: 25%; height: 22px; text-align: left;\">\r\n<p><a href=\"https:\/\/docs.google.com\/document\/d\/1KT_aSL2rpI4RuJteVRwfZnXHlIeyX5mQEBE9msgWvX0\/edit?usp=sharing\">Exploring Rates of Growth Discussion<\/a><\/p>\r\n<\/td>\r\n<td style=\"width: 25%; height: 22px; text-align: left;\"><a href=\"https:\/\/docs.google.com\/document\/d\/11AjUkjBsiWVf2dL0iVBnvwwQKzn2tRUHMFYdr3Vso1E\/edit?usp=sharing\">Approximation Methods in Calculus Writing Task<\/a><\/td>\r\n<td style=\"width: 25%; height: 22px; text-align: center;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1HgugDftjmqNf9CuN03BIrnBYP0dWNdLuOhTVHvReIhE\/edit?usp=sharing\">Contextual Applications of Derivatives AI Activity<\/a><\/td>\r\n<\/tr>\r\n<tr style=\"height: 22px;\">\r\n<td style=\"width: 25%; height: 22px; text-align: center;\"><span data-sheets-root=\"1\">Introduction to Integration<\/span><\/td>\r\n<td style=\"width: 25%; height: 22px; text-align: left;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1jknoKURfm3kIUFjXeRbDs4aOXXJ6j_hB7Jt8cYIl410\/edit?usp=sharing\">Fundamental Theorem of Calculus Discussion<\/a><\/td>\r\n<td style=\"width: 25%; height: 22px; text-align: left;\">\r\n<p><a href=\"https:\/\/docs.google.com\/document\/d\/1t4MhC_WpO4Y9Dl_o3WwJvtyN2anKiyrDpu-7aFIBDgM\/edit?usp=sharing\">Riemann Sums and Definite Integrals Writing Task<\/a><\/p>\r\n<p><a href=\"https:\/\/docs.google.com\/document\/d\/1iGwUkJXEASmeD2Js_KYZFAY7GSJGHccphu1z4rnWBGU\/edit?usp=sharing\">Approximating Areas with Unique Shapes<\/a><\/p>\r\n<\/td>\r\n<td style=\"width: 25%; height: 22px; text-align: center;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1CABusxGRhsHQyjaBGHBF-sy3qT55i-BCUfIo82j8G0U\/edit?usp=sharing\">Introduction to Integration AI Activity<\/a><\/td>\r\n<\/tr>\r\n<tr style=\"height: 22px;\">\r\n<td style=\"width: 25%; height: 22px; text-align: center;\">Techniques for Integration<\/td>\r\n<td style=\"width: 25%; height: 22px; text-align: left;\"><a href=\"https:\/\/docs.google.com\/document\/d\/16zXU6S2I8kpXPjN-_K4-NbEBmVFfOa7gPTpVScgy-lI\/edit?usp=sharing\">Integration Techniques and Applications Discussion<\/a><\/td>\r\n<td style=\"width: 25%; height: 22px; text-align: left;\">\r\n<p><a href=\"https:\/\/docs.google.com\/document\/d\/1oyI0DtGKuIdYyzgHHfuBzIKTOb5cnLC9EI_IipM7K_c\/edit?usp=sharing\">Integration Methods and Error Analysis Writing Task<\/a><\/p>\r\n<p><a href=\"https:\/\/docs.google.com\/document\/d\/1ubxNfO4K-pS88h1Zl8H91_IQ8x2KhJdkY1PHlYaFRag\/edit?usp=sharing\">Theorems About Definite Integrals<\/a><\/p>\r\n<\/td>\r\n<td style=\"width: 25%; height: 22px; text-align: center;\"><a href=\"https:\/\/docs.google.com\/document\/d\/18YjEXW9xKWTURxjkiRZOVzcJFAwPU7I6SWg0uyuEKjw\/edit?usp=sharing\">Techniques for Integration AI Activity<\/a><\/td>\r\n<\/tr>\r\n<tr style=\"height: 22px;\">\r\n<td style=\"width: 25%; height: 22px; text-align: center;\"><span data-sheets-root=\"1\">Applications of Integration<\/span><\/td>\r\n<td style=\"width: 25%; height: 22px; text-align: left;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1qKd4d4NHIOZdE-js7HJ0oH6dsSz5-AzNDD9abNjRY1U\/edit?usp=sharing\">Applications of Integration in Design and Engineering Discussion<\/a><\/td>\r\n<td style=\"width: 25%; height: 22px; text-align: left;\">\r\n<p><a href=\"https:\/\/docs.google.com\/document\/d\/148S8cxF5bliz3sNAFvIDhkjaOjKn28uhclK-MjPXHCs\/edit?usp=sharing\">Modeling a Pharmaceutical Container Writing Task<\/a><\/p>\r\n<p><a href=\"https:\/\/docs.google.com\/document\/d\/1D1SuFXpsSfP0FfhSeogcM12PVdXpWCxZClKtl29nTXc\/edit?usp=sharing\">Volume and Surface Area in Real Life<\/a><\/p>\r\n<\/td>\r\n<td style=\"width: 25%; height: 22px; text-align: center;\"><a href=\"https:\/\/docs.google.com\/document\/d\/175-SilF8bRqJkWo92LWgxZv_qLw1gHTTVXarg6wrZ8Q\/edit?usp=sharing\">Applications of Integration AI Activity<\/a><\/td>\r\n<\/tr>\r\n<tr style=\"height: 22px;\">\r\n<td style=\"width: 25%; height: 22px; text-align: center;\"><span data-sheets-root=\"1\">Physical Applications of Integration<\/span><\/td>\r\n<td style=\"width: 25%; height: 22px; text-align: left;\"><a href=\"https:\/\/docs.google.com\/document\/d\/13gdWJoe_4Il2vVumItIyBY0R0PsU1z2uh-ZLTSGL3XM\/edit?usp=sharing\">Mass Distribution and Center of Mass Analysis Discussion<\/a><\/td>\r\n<td style=\"width: 25%; height: 22px; text-align: left;\"><a href=\"https:\/\/docs.google.com\/document\/d\/19ZNJW6Mn5HtT06YXCQ1I4babkYatG00t1SB4KrX3fQs\/edit?usp=sharing\">Physical Applications of Integration Writing Task<\/a><\/td>\r\n<td style=\"width: 25%; height: 22px; text-align: center;\"><a href=\"https:\/\/docs.google.com\/document\/d\/13tmyK2YnoVgbsnsyhVagQzJgOBPyikrCaeIyUVgpPi0\/edit?usp=sharing\">Physical Applications of Integration AI Activity<\/a><\/td>\r\n<\/tr>\r\n<tr style=\"height: 22px;\">\r\n<td style=\"width: 25%; height: 22px; text-align: center;\"><span data-sheets-root=\"1\">Integration of Exponential, Logarithmic, and Hyperbolic Functions<\/span><\/td>\r\n<td style=\"width: 25%; height: 22px; text-align: left;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1jsFHNTj9u3F9_y2k2XpiGvkz58mEjyw7OB4Kz69FXXY\/edit?usp=sharing\">Modeling with Natural Logarithms and Exponential Functions Discussion<\/a><\/td>\r\n<td style=\"width: 25%; height: 22px; text-align: left;\">\r\n<p><a href=\"https:\/\/docs.google.com\/document\/d\/1riNi-i50HuNXrAmw_ZNO5wAbB6pi7AFTNGLsHs_eTAo\/edit?usp=sharing\">Analyzing Exponential and Logarithmic Models Writing Task<\/a><\/p>\r\n<p><a href=\"https:\/\/docs.google.com\/document\/d\/1CcDXgH0duu_NpA33ni4UvS1e0CCaCTnFVHjspe32nsY\/edit?usp=sharing\">Newton\u2019s Law of Cooling<\/a><\/p>\r\n<\/td>\r\n<td style=\"width: 25%; height: 22px; text-align: center;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1-UH156VAO7RGOM_lbUY2WQvMpbWqSexSehdGQ_vXelo\/edit?usp=sharing\">Integration of Exponential, Logarithmic, and Hyperbolic Functions AI Activity<\/a><\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n\r\n[<a class=\"anchorLink\" href=\"#top\">return to top<\/a>]<\/section>\r\n<section class=\"textbox\" style=\"border: none;\"><br \/>\r\n<h3 style=\"margin-top: 0;\"><a id=\"ssa\"><\/a>Subject Specific Assignments<\/h3>\r\n<p><a href=\"https:\/\/docs.google.com\/document\/d\/1RdjVgnnGbYPJVPd41_Fekyyd4Tr3aNh8_D1EVrt9CZQ\/edit?usp=sharing\">Biology Assignment: Growth Rate of an Epidemic<\/a><br \/>\r\n<a href=\"https:\/\/docs.google.com\/document\/d\/12hpN9ADdM5QbkgoQ_yauHBVP9eCAANd7IYLL1jso5cY\/edit?usp=sharing\">Biology Assignment: Population Dynamics<\/a><br \/>\r\n<br \/>\r\n<a href=\"https:\/\/docs.google.com\/document\/d\/1k2RYkvB4lixiXkg4e36FHFTQsS0XwRiAFlQxWYHm3C8\/edit?usp=sharing\">Physics Assignment: Position, Velocity, and Acceleration<\/a><br \/>\r\n<a href=\"https:\/\/docs.google.com\/document\/d\/1-Vv1oMbYKDQjIr9Y6rXoKyKNEDjUt4zTkov0r7EYP4U\/edit?usp=sharing\">Physics Assignment: Harmonics and Beats<\/a><br \/>\r\n<a href=\"https:\/\/docs.google.com\/document\/d\/1D1V8KfFrmok-q3kSZiZZyHm1jBSb6ua8GYenAYufbuE\/edit?usp=sharing\">Physics Assignment: Gravity<\/a><br \/>\r\n<br \/>\r\n<a href=\"https:\/\/docs.google.com\/document\/d\/1HC3h1-EANyGoAjjGyRHAS_jAyxWQSIlonu_vyr58JQo\/edit?usp=sharing\">Engineering Assignment: Energy from a Water Dam<\/a><br \/>\r\n<a href=\"https:\/\/docs.google.com\/document\/d\/1D-4axE7FI9I3WbFg9B6KTbKCK4p2rEjH2xI3ZOnBTNw\/edit?usp=sharing\">Engineering Assignment: Power in Circuits<\/a><br \/>\r\n<br \/>\r\n<a href=\"https:\/\/docs.google.com\/document\/d\/1JKWZ2oRXThyIJliZgvKmRrFxyCvgwEyOGEmWMTr1fl0\/edit?usp=sharing\">Economics Assignment: Optimization<\/a><br \/>\r\n<a href=\"https:\/\/docs.google.com\/document\/d\/15QF_XmXxARIMxDnNfESjxjO2QJm7nTMRHP4zusgWOZc\/edit?usp=sharing\">Economics Assignment: Rates and Margins<\/a><br \/>\r\n<br \/>\r\n<a href=\"https:\/\/docs.google.com\/document\/d\/1C-Y82-yHwgOvlqeR0PDpWKROXUIRwsD34q40xTaOj1M\/edit?usp=sharing\">Computer Science Assignment: Interpolation and Cubic Splines<\/a><br \/>\r\n<a href=\"https:\/\/docs.google.com\/document\/d\/1W5kW53n2JUNPlWT5cpR7IJD6mZD8LF6HyOIzqeZXCeg\/edit?usp=sharing\">Computer Science Assignment: Gradient Descent<\/a><br \/>\r\n<a href=\"https:\/\/docs.google.com\/document\/d\/1p_rxittCg1Xh86P1hxo8uMYx8BQcCj8oVaKj5AQjh9M\/edit?usp=sharing\">Computer Science Assignment: Applications of Integrals<\/a><br \/>\r\n<br \/>\r\n[<a class=\"anchorLink\" href=\"#top\">return to top<\/a>]<\/p>\r\n<\/section>\r\n<section class=\"textbox\" style=\"border: none;\">\r\n<h3 style=\"margin-top: 0;\"><a id=\"capstone\"><\/a>Capstone Project<\/h3>\r\n<ul>\r\n\t<li><a href=\"https:\/\/docs.google.com\/document\/d\/1TEipb3AbLpN9LWUaor018witA231sE972N6d1mgVcqw\/edit?usp=sharing\">Building a Mountain Resort Part 1 - The Analysis<\/a><\/li>\r\n\t<li><a href=\"https:\/\/docs.google.com\/document\/d\/1mrSgd-qGSVc4R8t99D3HJy3QBxUX6fqceqGpdE9YxWo\/edit?usp=sharing\">Building a Mountain Resort Part 2 - The Plan<\/a><\/li>\r\n\t<li><a href=\"https:\/\/docs.google.com\/document\/d\/1wpB4rsmQblDjyULx8lW2pv_DTmH4HY0bKsdRDnzyKyQ\/edit?usp=sharing\">Building a Mountain Resort Part 3 - The Building and Attractions<\/a><\/li>\r\n\t<li><a href=\"https:\/\/docs.google.com\/document\/d\/1P_cdsrhOBTDV-UUxbXGq2jmTfmR89I9N115h6PiGhVk\/edit?usp=sharing\">Building a Mountain Resort Part 4 - The Finishing Touches<\/a><\/li>\r\n\t<li><a href=\"https:\/\/docs.google.com\/document\/d\/1HdPmB0eyboY_vtYMHhQaROuE4mYeiGDYQhLjChFSxXE\/edit?usp=sharing\">Building a Mountain Resort - Capstone Project Finale<\/a><\/li>\r\n<\/ul>\r\n\r\n[<a class=\"anchorLink\" href=\"#top\">return to top<\/a>]<\/section>\r\n<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\r\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Calculus+1+2024+Build\/Lumen-Learning-Calculus-I.epub\" target=\"_blank\" rel=\"noopener\">Calculus I EPUB<\/a><\/p>\r\n\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\" \/>\r\nIf 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>. <br \/>\r\n<br \/>\r\n[<a class=\"anchorLink\" href=\"#top\">return to top<\/a>]<\/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\" \/><\/p>\n<p style=\"text-align: center;\"><a id=\"top\"><\/a>This page provides aligned teaching materials for Calculus I, 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><a><\/a>JUMP TO<\/strong>:\u00a0 \u00a0<a class=\"anchorLink\" href=\"#syllabus\">Course Information<\/a><\/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=\"#practice\">Practice Problems + Keys<\/a> <br \/>\n\u00a0<a class=\"anchorLink\" href=\"#ssa\">Guided Notes<\/a> <strong>| <\/strong><\/span><a class=\"anchorLink\" href=\"#discussions\">Discussions, Writing Tasks, and AI Activities<\/a> <span style=\"color: #800080;\"> <span style=\"color: #800080;\"><strong>| <\/strong><a class=\"anchorLink\" href=\"#capstone\">Capstone Project<\/a><\/span><\/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 aria-label=\"Pro Tip\">\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\/1s0vJ3C01f7uG_XmZ5BUREaBH9iaRRJHwg-3Ee9Tl428\/edit?usp=sharing\" target=\"_blank\" rel=\"noopener\">Topic List for Calculus I<\/a><\/li>\n<li><a href=\"https:\/\/docs.google.com\/spreadsheets\/d\/1ggSWHlmeCCXZk5Gbxt5C-_G2MwkeUF3yDCj7_TLT0O0\/edit?usp=sharing\" target=\"_blank\" rel=\"noopener\">Calculus I: Detailed Learning Outcomes<\/a><\/li>\n<\/ul>\n<p>[<a class=\"anchorLink\" href=\"#top\">return to top<\/a>]<\/p>\n<\/section>\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\/1zK_fx3-oHTXLjKifME84cg1ZW401fKXe_lsCZXrZkig\/edit?usp=sharing\">Module 1 <\/a><a href=\"https:\/\/docs.google.com\/document\/d\/1zK_fx3-oHTXLjKifME84cg1ZW401fKXe_lsCZXrZkig\/edit?usp=sharing\">Instructor Guide<\/a><a href=\"https:\/\/docs.google.com\/document\/d\/1zK_fx3-oHTXLjKifME84cg1ZW401fKXe_lsCZXrZkig\/edit?usp=sharing\">: Basic Functions and Graphs<\/a><br \/>\n<a href=\"https:\/\/docs.google.com\/document\/d\/18R66sEikj-gQYNSphoTvyDt8WLVl9OlZpab9u67LBjg\/edit?usp=sharing\">Module 2 Instructor Guide: More Basic Functions and Graphs<\/a> <br \/>\n<a href=\"https:\/\/docs.google.com\/document\/d\/18rlirusJTIfecm-VPx28s1eqIVLv-GNUtV_J0zFRyWc\/edit?usp=sharing\">Module 3 Instructor Guide: Understanding Limits<\/a><br \/>\n<a href=\"https:\/\/docs.google.com\/document\/d\/1M6PHBSXT9fc8Iw20mbGqO5iZ2H6x8YShnJC_lE46ND8\/edit?usp=sharing\">Module 4 Instructor Guide: Limits and Continuity<\/a><br \/>\n<a href=\"https:\/\/docs.google.com\/document\/d\/1QF1pgLVApT9msgRyO6pMrwOK8RUqIlEcOFyGomhHRFM\/edit?usp=sharing\">Module 5 Instructor Guide: Introduction to Derivatives<\/a><br \/>\n<a href=\"https:\/\/docs.google.com\/document\/d\/1SKypxLvZ7XEJaO_QVzVfynOvq0LantpW5SGY4Pfrk2U\/edit?usp=sharing\">Module 6 Instructor Guide: Techniques for Differentiation<\/a><br \/>\n<a href=\"https:\/\/docs.google.com\/document\/d\/1Y1YMH7tvixiLCv9o5vbRA-vDG7h4XIkdXWt42AEHTjI\/edit?usp=sharing\">Module 7 Instructor Guide: Analytical Applications of Derivatives<\/a><br \/>\n<a href=\"https:\/\/docs.google.com\/document\/d\/1jeKfuxpLceaE1EX4z_7vAilJEvFHfiIDa7F-v813e7E\/edit?usp=sharing\">Module 8 Instructor Guide: Contextual Applications of Derivatives<\/a><br \/>\n<a href=\"https:\/\/docs.google.com\/document\/d\/1sPEqg7qrLxWp40xcPgjWgcOFWIgZyTQ06MdNPTrl-RI\/edit?usp=sharing\">Module 9 Instructor Guide: Introduction to Integration<\/a><br \/>\n<a href=\"https:\/\/docs.google.com\/document\/d\/1uR22kNRAif943FrY5wZ7vOV7gH9MaX-z9u-DMN1DZ6Q\/edit?usp=sharing\">Module 10 Instructor Guide: Techniques for Integration<\/a><br \/>\n<a href=\"https:\/\/docs.google.com\/document\/d\/1vpVvhV55VeDde4cvNdZizFXZowf_tsBqCVs8P-UwZwU\/edit?usp=sharing\">Module 11 Instructor Guide: Application of Integration<\/a><br \/>\n<a href=\"https:\/\/docs.google.com\/document\/d\/1w_vjb5X0cvERvKRzWLwT_lJm6RJkABKgfjZirSR4H30\/edit?usp=sharing\">Module 12 Instructor Guide:Physical Applications of Integration<\/a><br \/>\n<a href=\"https:\/\/docs.google.com\/document\/d\/1xi8aopdDgCvDc67z07nJJDEIapaa2UZtbnGTiEDD9gk\/edit?usp=sharing\">Module 13 Instructor Guide: Integration of Exponential, Logarithmic, and Hyperbolic Functions<\/a><\/p>\n<p style=\"padding-left: 40px;\">[<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 Slides<\/h3>\n<p>You can download a PPT or make a copy and customize these Google Slide decks to serve as a visual guide and companion to each suggested lesson. They include student-friendly learning outcomes, sample class affirmations, ideas for engagement and details for each activity.<\/p>\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/docs.google.com\/presentation\/d\/1j9-XHCLxKO-FY8FYnkPgja2QQBNtLhcYDMjGRq_ohPs\/edit?usp=sharing\">Module 1 Slides: Basic Functions and Graphs<\/a><br \/>\n<a href=\"https:\/\/docs.google.com\/presentation\/d\/1pvHjbCrm3IxZTfk1usknHj36XeZZ76-Kf6XRXeN4Nfo\/edit?usp=sharing\">Module 2 Slides: More Basic Functions and Graphs<\/a><br \/>\n<a href=\"https:\/\/docs.google.com\/presentation\/d\/1phaRmMSDE85_BF5GJWvKh8rgN6iq2W6EQru6TZYHS38\/edit?usp=sharing\">Module 3 Slides: Understanding Limits<\/a><br \/>\n<a href=\"https:\/\/docs.google.com\/presentation\/d\/1oZJ8zjIdgSIck2dalCkniPaohRpRWca2xq3Wa1QsQcA\/edit?usp=sharing\">Module 4 Slides: Limits and Continuity<\/a><br \/>\n<a href=\"https:\/\/docs.google.com\/presentation\/d\/1hsftzYcHk5J2RhIkLsWGuTNWyJK5pnO78M7ZBD8mrFE\/edit?usp=sharing\">Module 5 Slides: Introduction to Derivatives<\/a><br \/>\n<a href=\"https:\/\/docs.google.com\/presentation\/d\/1du8r3f48_KnBw-c-i9PYT7tBConTY05rBU6jQ5AnjFY\/edit?usp=sharing\">Module 6 Slides: Techniques for Differentiation<\/a><br \/>\n<a href=\"https:\/\/docs.google.com\/presentation\/d\/1djHUHMBr1ZFByjHgvsIOfollC7-9Wph378pvohUhLE4\/edit?usp=sharing\">Module 7 Slides: Analytical Applications of Derivatives<\/a><br \/>\n<a href=\"https:\/\/docs.google.com\/presentation\/d\/1b5GM5dk0KdSSo1i3Zz3ubyjiG7AqkAmsHWTKCRcyjVM\/edit?usp=sharing\">Module 8 Slides: Contextual Applications of Derivatives<\/a><br \/>\n<a href=\"https:\/\/docs.google.com\/presentation\/d\/1aNVtDhxCI9-Vh7jJIEQpdtyPlbr1M0woLay-UXuvOks\/edit?usp=sharing\">Module 9 Slides: Introduction to Integration<\/a><br \/>\n<a href=\"https:\/\/docs.google.com\/presentation\/d\/1QkWkL4c8T9nDuaNfQWzoxF_HL7a3dm90UCgvGPA6E08\/edit?usp=sharing\">Module 10 Slides: Techniques for Integration<\/a><br \/>\n<a href=\"https:\/\/docs.google.com\/presentation\/d\/1Nl0ggowBD1McRIwmDi-5FbWo_v48Y9MFfRilnlqkRXM\/edit?usp=sharing\">Module 11 Slides: Applications of Integration<\/a><br \/>\n<a href=\"https:\/\/docs.google.com\/presentation\/d\/11q9sK5LiZQiEEuO9WeLewnbw2ryt6BKCiVUfb7OwX_4\/edit?usp=sharing\">Module 12 Slides: Physical Applications of Integration<\/a><br \/>\n<a href=\"https:\/\/docs.google.com\/presentation\/d\/11kD0vZlRliyrSFLa2r47jaDTBGswRKNXq0fchfpkOVQ\/edit?usp=sharing\">Module 13 Slides: Integration of Exponential, Logarithmic, and Hyperbolic Functions<\/a><\/p>\n<p>\n[<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=\"practice\"><\/a>Get Stronger Practice Problems<\/h3>\n<p><a href=\"https:\/\/content.one.lumenlearning.com\/calculus1\/chapter\/basic-functions-and-graphs-get-stronger\/\">Basic Functions and Graphs: Get Stronger<\/a> + <a href=\"https:\/\/content.one.lumenlearning.com\/qrpracticepages\/chapter\/basic-functions-and-graphs-get-stronger-answer-key\/\">Answer Key<br \/>\n<\/a><a href=\"https:\/\/content.one.lumenlearning.com\/calculus1\/chapter\/more-basic-functions-and-graphs-get-stronger\/\">More Basic Functions and Graphs: Get Stronger<\/a> + <a href=\"https:\/\/content.one.lumenlearning.com\/qrpracticepages\/chapter\/more-basic-functions-and-graphs-get-stronger-answer-key\/\">Answer Key<\/a>\u00a0<br \/>\n<a href=\"https:\/\/content.one.lumenlearning.com\/calculus1\/chapter\/understanding-limits-get-stronger\/\">Understanding Limits: Get Stronger<\/a> + <a href=\"https:\/\/content.one.lumenlearning.com\/qrpracticepages\/chapter\/understanding-limits-get-stronger-answer-key\/\">Answer Key<\/a><br \/>\n<a href=\"https:\/\/content.one.lumenlearning.com\/calculus1\/chapter\/limits-and-continuity-get-stronger\/\">Limits and Continuity: Get Stronger<\/a> + <a href=\"https:\/\/content.one.lumenlearning.com\/qrpracticepages\/chapter\/limits-and-continuity-get-stronger-answer-key\/\">Answer Key<\/a>\u00a0<br \/>\n<a href=\"https:\/\/content.one.lumenlearning.com\/calculus1\/chapter\/introduction-to-derivatives-get-stronger\/\">Introduction to Derivatives: Get Stronger<\/a> + <a href=\"https:\/\/content.one.lumenlearning.com\/qrpracticepages\/chapter\/introduction-to-derivatives-get-stronger-answer-key\/\">Answer Key<\/a> <br \/>\n<a href=\"https:\/\/content.one.lumenlearning.com\/calculus1\/chapter\/techniques-for-differentiation-get-stronger\/\">Techniques for Differentiation: Get Stronger<\/a> + <a href=\"https:\/\/content.one.lumenlearning.com\/qrpracticepages\/chapter\/techniques-for-differentiation-get-stronger-answer-key\/\">Answer Key<\/a>\u00a0<br \/>\n<a href=\"https:\/\/content.one.lumenlearning.com\/calculus1\/chapter\/analytical-applications-of-derivatives-get-stronger\/\">Analytical Applications of Derivatives: Get Stronger<\/a> + <a href=\"https:\/\/content.one.lumenlearning.com\/qrpracticepages\/chapter\/analytical-applications-of-derivatives-get-stronger-answer-key\/\">Answer Key<\/a>\u00a0<br \/>\n<a href=\"https:\/\/content.one.lumenlearning.com\/calculus1\/chapter\/contextual-applications-of-derivatives-get-stronger\/\">Contextual Applications of Derivatives: Get Stronger<\/a> + <a href=\"https:\/\/content.one.lumenlearning.com\/qrpracticepages\/chapter\/contextual-applications-of-derivatives-get-stronger-answer-key\/\">Answer Key<\/a> <br \/>\n<a href=\"https:\/\/content.one.lumenlearning.com\/calculus1\/chapter\/introduction-to-integration-get-stronger\/\">Introduction to Integration: Get Stronger<\/a> + <a href=\"https:\/\/content.one.lumenlearning.com\/qrpracticepages\/chapter\/introduction-to-integration-get-stronger-answer-key\/\">Answer Key<\/a>\u00a0<br \/>\n<a href=\"https:\/\/content.one.lumenlearning.com\/calculus1\/chapter\/techniques-for-integration-get-stronger\/\">Techniques for Integration: Get Stronger<\/a> + <a href=\"https:\/\/content.one.lumenlearning.com\/qrpracticepages\/chapter\/techniques-for-integration-get-stronger-answer-key\/\">Answer Key<\/a>\u00a0<br \/>\n<a href=\"https:\/\/content.one.lumenlearning.com\/calculus1\/chapter\/applications-of-integration-get-stronger\/\">Applications of Integration: Get Stronger<\/a> + <a href=\"https:\/\/content.one.lumenlearning.com\/qrpracticepages\/chapter\/applications-of-integration-get-stronger-answer-key\/\">Answer Key<\/a> <br \/>\n<a href=\"https:\/\/content.one.lumenlearning.com\/calculus1\/chapter\/physical-applications-of-integration-get-stronger\/\">Physical Applications of Integration: Get Stronger<\/a> + <a href=\"https:\/\/content.one.lumenlearning.com\/qrpracticepages\/chapter\/physical-applications-of-integration-get-stronger-answer-key\/\">Answer Key<\/a>\u00a0<br \/>\n<a href=\"https:\/\/content.one.lumenlearning.com\/calculus1\/chapter\/integration-of-exponential-logarithmic-and-hyperbolic-functions-get-stronger\/\">Integration of Exponential, Logarithmic, and Hyperbolic Functions: Get Stronger<\/a> + <a href=\"https:\/\/content.one.lumenlearning.com\/qrpracticepages\/chapter\/integration-of-exponential-logarithmic-and-hyperbolic-functions-get-stronger-answer-key\/\">Answer Key<\/a>\u00a0<\/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=\"discussions\"><\/a>Discussions, Writing Tasks, and AI Activities<\/h3>\n<table style=\"border-collapse: collapse; width: 100%; height: 308px;\">\n<thead>\n<tr style=\"height: 22px;\">\n<th style=\"height: 22px; width: 25%; text-align: center;\">Module<\/th>\n<th style=\"height: 22px; width: 25%; text-align: center;\">Discussion<\/th>\n<th style=\"height: 22px; width: 25%; text-align: center;\">Writing Task<\/th>\n<th style=\"height: 22px; width: 25%; text-align: center;\">AI Activities<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr style=\"height: 22px;\">\n<td style=\"width: 25%; height: 22px; text-align: center;\">Basic Functions and Graphs<\/td>\n<td style=\"width: 25%; height: 22px; text-align: left;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1ZDMHSfMIFJaBq1bT1RuGk0A-qAP3tBQl8MkJAtVTv9w\/edit?usp=sharing\">Function Behavior and Application Discussion<\/a><\/td>\n<td style=\"width: 25%; height: 22px; text-align: left;\">\n<p><a href=\"https:\/\/docs.google.com\/document\/d\/1biLTeKZAfFHBxJG9vTIj-AQzAaJDyPJhlxo_oDaukPM\/edit?usp=sharing\">Function Transformations Writing Task: Creating a Designer Function<\/a><\/p>\n<p><a href=\"https:\/\/docs.google.com\/document\/d\/1G1iBy9RfijD_doqmwOPuhcsxH7OOposjzn2ri61msZc\/edit?usp=sharing\">Relations and Functions in Real Life<\/a><\/p>\n<\/td>\n<td style=\"width: 25%; height: 22px; text-align: center;\"><a href=\"https:\/\/docs.google.com\/document\/d\/194mQrDJYsTmv6bEoZCfoytjUHyyQodBFjSKsugkSRTs\/edit?usp=sharing\">Basic Functions and Graphs AI Activity<\/a><\/td>\n<\/tr>\n<tr style=\"height: 22px;\">\n<td style=\"width: 25%; height: 22px; text-align: center;\">More Basic Functions and Graphs<\/td>\n<td style=\"width: 25%; height: 22px; text-align: left;\">\n<p><a href=\"https:\/\/docs.google.com\/document\/d\/1Qlq4wegw40FwfOSlsaesIVMildQwgRNqTKsOfZRWq1Q\/edit?usp=sharing\">Trigonometric Functions in the Real World Discussion<\/a><\/p>\n<\/td>\n<td style=\"width: 25%; height: 22px; text-align: left;\">\n<p><a href=\"https:\/\/docs.google.com\/document\/d\/1LhYIJN7abcTjdXdfZbddhj0OOirkwhi2txzSa339EzY\/edit?usp=sharing\">Inverse Function Analysis Writing Task<\/a><\/p>\n<p><a href=\"https:\/\/docs.google.com\/document\/d\/1_OGaDqCO8_g0QrXgxdhLfwavpEuMWwpzUNQM7g3F-bQ\/edit?usp=sharing\">Inverse Functions and Cryptography<\/a><\/p>\n<\/td>\n<td style=\"width: 25%; height: 22px; text-align: center;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1wfbQap3PzvnmR_NyIqj-jr3KfmC022lOotD-HKZN2wA\/edit?usp=sharing\">More Basic Functions and Graphs AI Activity<\/a><\/td>\n<\/tr>\n<tr style=\"height: 22px;\">\n<td style=\"width: 25%; height: 22px; text-align: center;\">Understanding Limits<\/td>\n<td style=\"width: 25%; height: 22px; text-align: left;\">\n<p><a href=\"https:\/\/docs.google.com\/document\/d\/1I-EDIFeMnwhQQQt9QK05ojPPA_LSUtCDSE4GZlwpcy0\/edit?usp=sharing\">The Tangent Problem in Real-World Applications Discussion<\/a><\/p>\n<\/td>\n<td style=\"width: 25%; height: 22px; text-align: left;\">\n<p><a href=\"https:\/\/docs.google.com\/document\/d\/1mz8jevrHjruKvjIJVNHqnqFiSuZny9Wmd_dGLu7pjUE\/edit?usp=sharing\">Limit Analysis in Rate of Change Problems Writing Task<\/a><\/p>\n<p><a href=\"https:\/\/docs.google.com\/document\/d\/1bXRQKN6LrYLdy4V-oMkhu1jArHnQaQEGRgPhdH2uIZc\/edit?usp=sharing\">Limits and the Area of a Circle\u00a0<\/a><\/p>\n<\/td>\n<td style=\"width: 25%; height: 22px; text-align: center;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1s80uOKKw7UVUuzh0LocaIlJGD5K8QuETg4_Dn3NvmAE\/edit?usp=sharing\">Understanding Limits AI Activity<\/a><\/td>\n<\/tr>\n<tr style=\"height: 22px;\">\n<td style=\"width: 25%; height: 22px; text-align: center;\">Limits and Continuity<\/td>\n<td style=\"width: 25%; height: 22px; text-align: left;\"><a href=\"https:\/\/docs.google.com\/document\/d\/12M2-l_N8945Dxj6LIX2eesQZ1VnzTJ9cDbDqZyE86S4\/edit?usp=sharing\">Analyzing Function Continuity Discussion<\/a><\/td>\n<td style=\"width: 25%; height: 22px; text-align: left;\">\n<p><a href=\"https:\/\/docs.google.com\/document\/d\/1yOJdrfWl4Ag2ulWgLoELOTp3Vu7YbTO4bHMmTruEJL8\/edit?usp=sharing\">Precise Definitions of Limits Writing Task<\/a><\/p>\n<\/td>\n<td style=\"width: 25%; height: 22px; text-align: center;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1mGOG8cK99b_Sv43hseo1YJmurtd9ssZr1KfSsH11eUI\/edit?usp=sharing\">Limits and Continuity AI Activity<\/a><\/td>\n<\/tr>\n<tr style=\"height: 22px;\">\n<td style=\"width: 25%; height: 22px; text-align: center;\">Introduction to Derivatives<\/td>\n<td style=\"width: 25%; height: 22px; text-align: left;\">\n<p><a href=\"https:\/\/docs.google.com\/document\/d\/1EhGviaP_u4uudYS4F234DtgwaP7s8foFtLgMVQJ5yWo\/edit?usp=sharing\">Exploring Derivatives and Their Applications Discussion<\/a><\/p>\n<\/td>\n<td style=\"width: 25%; height: 22px; text-align: left;\">\n<p><a href=\"https:\/\/docs.google.com\/document\/d\/16m9ziw5jJDV-t-bXZvNfrtPvpkJi25sdO8LvY3crC4w\/edit?usp=sharing\">Differentiation Rules and Applications Writing Task<\/a><\/p>\n<p><a href=\"https:\/\/docs.google.com\/document\/d\/1m5OT0PVUuo9VdupFyt5bhrR9mElmK2PKf7KehCvFQSo\/edit?usp=sharing\">Rates of Change and COVID-19<\/a><\/p>\n<\/td>\n<td style=\"width: 25%; height: 22px; text-align: center;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1jH01MhZ82IUxg7Kdi-dG6PvNXnC18Rc7A9V-EBdA9nI\/edit?usp=sharing\">Introduction to Derivatives AI Activity<\/a><\/td>\n<\/tr>\n<tr style=\"height: 22px;\">\n<td style=\"width: 25%; height: 22px; text-align: center;\">Techniques for Differentiation<\/td>\n<td style=\"width: 25%; height: 22px; text-align: left;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1awQVFBKY-EVxkC-cRzC0LKvIsa4TmvWpkTHxDqS1yfM\/edit?usp=sharing\">Trigonometric Derivatives in Physical Systems Discussion<\/a><\/td>\n<td style=\"width: 25%; height: 22px; text-align: left;\">\n<p><a href=\"https:\/\/docs.google.com\/document\/d\/1ySP7r1Q4z-C6KB8p9TQVwFZaCdiV8hxXIkv17Zw4xH0\/edit?usp=sharing\">Chain Rule and Implicit Differentiation Applications Writing Task<\/a><\/p>\n<p><a href=\"https:\/\/docs.google.com\/document\/d\/1lOCZ5oS3als7S4cgjbg9kgponHmg3LvrMrR0ROd1mpg\/edit?usp=sharing\">Patterns in Higher Order Derivatives<\/a><\/p>\n<\/td>\n<td style=\"width: 25%; height: 22px; text-align: center;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1f1ecXeCdhCs6VNqjZgBe_Tet6wy4KZyxnJAw5GdKlOo\/edit?usp=sharing\">Techniques for Differentiation AI Activity<\/a><\/td>\n<\/tr>\n<tr style=\"height: 22px;\">\n<td style=\"width: 25%; height: 22px; text-align: center;\"><span data-sheets-root=\"1\">Analytical Applications of Derivatives<\/span><\/td>\n<td style=\"width: 25%; height: 22px; text-align: left;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1179GRRjMiyU-RjPc1vg1I-BNQ0PKEc8-renoqORMFdY\/edit?usp=sharing\">Understanding Real-World Change Through Related Rates Discussion<\/a><\/td>\n<td style=\"width: 25%; height: 22px; text-align: left;\">\n<p><a href=\"https:\/\/docs.google.com\/document\/d\/1W2zszi5xJAyE4mc8ulbK0ka-Ze2CEtSYY0UNgnWVPV0\/edit?usp=sharing\">Linearization and Optimization Applications Writing Task<\/a><\/p>\n<p><a href=\"https:\/\/docs.google.com\/document\/d\/12fXHpr5K_oploRijN42ipC0EMKWEufyaB3oYSq5C3do\/edit?usp=sharing\">Shapes of Graphs and COVID-19<\/a><\/p>\n<p><a href=\"https:\/\/docs.google.com\/document\/d\/1sxkfDcdHxNxxDJG2pAv5jhKfJvk6Ga98SD0hL3GFJu8\/edit?usp=sharing\">The Mean Value Theorem and Rate of Change<\/a><\/p>\n<\/td>\n<td style=\"width: 25%; height: 22px; text-align: center;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1aDGzcXql2bf_OTCcbx8qffFmurcCjZz1VxLVtIGEkWc\/edit?usp=sharing\">Analytical Applications of Derivatives AI Activity<\/a><\/td>\n<\/tr>\n<tr style=\"height: 22px;\">\n<td style=\"width: 25%; height: 22px; text-align: center;\"><span data-sheets-root=\"1\">Contextual Applications of Derivatives<\/span><\/td>\n<td style=\"width: 25%; height: 22px; text-align: left;\">\n<p><a href=\"https:\/\/docs.google.com\/document\/d\/1KT_aSL2rpI4RuJteVRwfZnXHlIeyX5mQEBE9msgWvX0\/edit?usp=sharing\">Exploring Rates of Growth Discussion<\/a><\/p>\n<\/td>\n<td style=\"width: 25%; height: 22px; text-align: left;\"><a href=\"https:\/\/docs.google.com\/document\/d\/11AjUkjBsiWVf2dL0iVBnvwwQKzn2tRUHMFYdr3Vso1E\/edit?usp=sharing\">Approximation Methods in Calculus Writing Task<\/a><\/td>\n<td style=\"width: 25%; height: 22px; text-align: center;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1HgugDftjmqNf9CuN03BIrnBYP0dWNdLuOhTVHvReIhE\/edit?usp=sharing\">Contextual Applications of Derivatives AI Activity<\/a><\/td>\n<\/tr>\n<tr style=\"height: 22px;\">\n<td style=\"width: 25%; height: 22px; text-align: center;\"><span data-sheets-root=\"1\">Introduction to Integration<\/span><\/td>\n<td style=\"width: 25%; height: 22px; text-align: left;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1jknoKURfm3kIUFjXeRbDs4aOXXJ6j_hB7Jt8cYIl410\/edit?usp=sharing\">Fundamental Theorem of Calculus Discussion<\/a><\/td>\n<td style=\"width: 25%; height: 22px; text-align: left;\">\n<p><a href=\"https:\/\/docs.google.com\/document\/d\/1t4MhC_WpO4Y9Dl_o3WwJvtyN2anKiyrDpu-7aFIBDgM\/edit?usp=sharing\">Riemann Sums and Definite Integrals Writing Task<\/a><\/p>\n<p><a href=\"https:\/\/docs.google.com\/document\/d\/1iGwUkJXEASmeD2Js_KYZFAY7GSJGHccphu1z4rnWBGU\/edit?usp=sharing\">Approximating Areas with Unique Shapes<\/a><\/p>\n<\/td>\n<td style=\"width: 25%; height: 22px; text-align: center;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1CABusxGRhsHQyjaBGHBF-sy3qT55i-BCUfIo82j8G0U\/edit?usp=sharing\">Introduction to Integration AI Activity<\/a><\/td>\n<\/tr>\n<tr style=\"height: 22px;\">\n<td style=\"width: 25%; height: 22px; text-align: center;\">Techniques for Integration<\/td>\n<td style=\"width: 25%; height: 22px; text-align: left;\"><a href=\"https:\/\/docs.google.com\/document\/d\/16zXU6S2I8kpXPjN-_K4-NbEBmVFfOa7gPTpVScgy-lI\/edit?usp=sharing\">Integration Techniques and Applications Discussion<\/a><\/td>\n<td style=\"width: 25%; height: 22px; text-align: left;\">\n<p><a href=\"https:\/\/docs.google.com\/document\/d\/1oyI0DtGKuIdYyzgHHfuBzIKTOb5cnLC9EI_IipM7K_c\/edit?usp=sharing\">Integration Methods and Error Analysis Writing Task<\/a><\/p>\n<p><a href=\"https:\/\/docs.google.com\/document\/d\/1ubxNfO4K-pS88h1Zl8H91_IQ8x2KhJdkY1PHlYaFRag\/edit?usp=sharing\">Theorems About Definite Integrals<\/a><\/p>\n<\/td>\n<td style=\"width: 25%; height: 22px; text-align: center;\"><a href=\"https:\/\/docs.google.com\/document\/d\/18YjEXW9xKWTURxjkiRZOVzcJFAwPU7I6SWg0uyuEKjw\/edit?usp=sharing\">Techniques for Integration AI Activity<\/a><\/td>\n<\/tr>\n<tr style=\"height: 22px;\">\n<td style=\"width: 25%; height: 22px; text-align: center;\"><span data-sheets-root=\"1\">Applications of Integration<\/span><\/td>\n<td style=\"width: 25%; height: 22px; text-align: left;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1qKd4d4NHIOZdE-js7HJ0oH6dsSz5-AzNDD9abNjRY1U\/edit?usp=sharing\">Applications of Integration in Design and Engineering Discussion<\/a><\/td>\n<td style=\"width: 25%; height: 22px; text-align: left;\">\n<p><a href=\"https:\/\/docs.google.com\/document\/d\/148S8cxF5bliz3sNAFvIDhkjaOjKn28uhclK-MjPXHCs\/edit?usp=sharing\">Modeling a Pharmaceutical Container Writing Task<\/a><\/p>\n<p><a href=\"https:\/\/docs.google.com\/document\/d\/1D1SuFXpsSfP0FfhSeogcM12PVdXpWCxZClKtl29nTXc\/edit?usp=sharing\">Volume and Surface Area in Real Life<\/a><\/p>\n<\/td>\n<td style=\"width: 25%; height: 22px; text-align: center;\"><a href=\"https:\/\/docs.google.com\/document\/d\/175-SilF8bRqJkWo92LWgxZv_qLw1gHTTVXarg6wrZ8Q\/edit?usp=sharing\">Applications of Integration AI Activity<\/a><\/td>\n<\/tr>\n<tr style=\"height: 22px;\">\n<td style=\"width: 25%; height: 22px; text-align: center;\"><span data-sheets-root=\"1\">Physical Applications of Integration<\/span><\/td>\n<td style=\"width: 25%; height: 22px; text-align: left;\"><a href=\"https:\/\/docs.google.com\/document\/d\/13gdWJoe_4Il2vVumItIyBY0R0PsU1z2uh-ZLTSGL3XM\/edit?usp=sharing\">Mass Distribution and Center of Mass Analysis Discussion<\/a><\/td>\n<td style=\"width: 25%; height: 22px; text-align: left;\"><a href=\"https:\/\/docs.google.com\/document\/d\/19ZNJW6Mn5HtT06YXCQ1I4babkYatG00t1SB4KrX3fQs\/edit?usp=sharing\">Physical Applications of Integration Writing Task<\/a><\/td>\n<td style=\"width: 25%; height: 22px; text-align: center;\"><a href=\"https:\/\/docs.google.com\/document\/d\/13tmyK2YnoVgbsnsyhVagQzJgOBPyikrCaeIyUVgpPi0\/edit?usp=sharing\">Physical Applications of Integration AI Activity<\/a><\/td>\n<\/tr>\n<tr style=\"height: 22px;\">\n<td style=\"width: 25%; height: 22px; text-align: center;\"><span data-sheets-root=\"1\">Integration of Exponential, Logarithmic, and Hyperbolic Functions<\/span><\/td>\n<td style=\"width: 25%; height: 22px; text-align: left;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1jsFHNTj9u3F9_y2k2XpiGvkz58mEjyw7OB4Kz69FXXY\/edit?usp=sharing\">Modeling with Natural Logarithms and Exponential Functions Discussion<\/a><\/td>\n<td style=\"width: 25%; height: 22px; text-align: left;\">\n<p><a href=\"https:\/\/docs.google.com\/document\/d\/1riNi-i50HuNXrAmw_ZNO5wAbB6pi7AFTNGLsHs_eTAo\/edit?usp=sharing\">Analyzing Exponential and Logarithmic Models Writing Task<\/a><\/p>\n<p><a href=\"https:\/\/docs.google.com\/document\/d\/1CcDXgH0duu_NpA33ni4UvS1e0CCaCTnFVHjspe32nsY\/edit?usp=sharing\">Newton\u2019s Law of Cooling<\/a><\/p>\n<\/td>\n<td style=\"width: 25%; height: 22px; text-align: center;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1-UH156VAO7RGOM_lbUY2WQvMpbWqSexSehdGQ_vXelo\/edit?usp=sharing\">Integration of Exponential, Logarithmic, and Hyperbolic Functions AI Activity<\/a><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>[<a class=\"anchorLink\" href=\"#top\">return to top<\/a>]<\/section>\n<section class=\"textbox\" style=\"border: none;\"><\/p>\n<h3 style=\"margin-top: 0;\"><a id=\"ssa\"><\/a>Subject Specific Assignments<\/h3>\n<p><a href=\"https:\/\/docs.google.com\/document\/d\/1RdjVgnnGbYPJVPd41_Fekyyd4Tr3aNh8_D1EVrt9CZQ\/edit?usp=sharing\">Biology Assignment: Growth Rate of an Epidemic<\/a><br \/>\n<a href=\"https:\/\/docs.google.com\/document\/d\/12hpN9ADdM5QbkgoQ_yauHBVP9eCAANd7IYLL1jso5cY\/edit?usp=sharing\">Biology Assignment: Population Dynamics<\/a><\/p>\n<p><a href=\"https:\/\/docs.google.com\/document\/d\/1k2RYkvB4lixiXkg4e36FHFTQsS0XwRiAFlQxWYHm3C8\/edit?usp=sharing\">Physics Assignment: Position, Velocity, and Acceleration<\/a><br \/>\n<a href=\"https:\/\/docs.google.com\/document\/d\/1-Vv1oMbYKDQjIr9Y6rXoKyKNEDjUt4zTkov0r7EYP4U\/edit?usp=sharing\">Physics Assignment: Harmonics and Beats<\/a><br \/>\n<a href=\"https:\/\/docs.google.com\/document\/d\/1D1V8KfFrmok-q3kSZiZZyHm1jBSb6ua8GYenAYufbuE\/edit?usp=sharing\">Physics Assignment: Gravity<\/a><\/p>\n<p><a href=\"https:\/\/docs.google.com\/document\/d\/1HC3h1-EANyGoAjjGyRHAS_jAyxWQSIlonu_vyr58JQo\/edit?usp=sharing\">Engineering Assignment: Energy from a Water Dam<\/a><br \/>\n<a href=\"https:\/\/docs.google.com\/document\/d\/1D-4axE7FI9I3WbFg9B6KTbKCK4p2rEjH2xI3ZOnBTNw\/edit?usp=sharing\">Engineering Assignment: Power in Circuits<\/a><\/p>\n<p><a href=\"https:\/\/docs.google.com\/document\/d\/1JKWZ2oRXThyIJliZgvKmRrFxyCvgwEyOGEmWMTr1fl0\/edit?usp=sharing\">Economics Assignment: Optimization<\/a><br \/>\n<a href=\"https:\/\/docs.google.com\/document\/d\/15QF_XmXxARIMxDnNfESjxjO2QJm7nTMRHP4zusgWOZc\/edit?usp=sharing\">Economics Assignment: Rates and Margins<\/a><\/p>\n<p><a href=\"https:\/\/docs.google.com\/document\/d\/1C-Y82-yHwgOvlqeR0PDpWKROXUIRwsD34q40xTaOj1M\/edit?usp=sharing\">Computer Science Assignment: Interpolation and Cubic Splines<\/a><br \/>\n<a href=\"https:\/\/docs.google.com\/document\/d\/1W5kW53n2JUNPlWT5cpR7IJD6mZD8LF6HyOIzqeZXCeg\/edit?usp=sharing\">Computer Science Assignment: Gradient Descent<\/a><br \/>\n<a href=\"https:\/\/docs.google.com\/document\/d\/1p_rxittCg1Xh86P1hxo8uMYx8BQcCj8oVaKj5AQjh9M\/edit?usp=sharing\">Computer Science Assignment: Applications of Integrals<\/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=\"capstone\"><\/a>Capstone Project<\/h3>\n<ul>\n<li><a href=\"https:\/\/docs.google.com\/document\/d\/1TEipb3AbLpN9LWUaor018witA231sE972N6d1mgVcqw\/edit?usp=sharing\">Building a Mountain Resort Part 1 &#8211; The Analysis<\/a><\/li>\n<li><a href=\"https:\/\/docs.google.com\/document\/d\/1mrSgd-qGSVc4R8t99D3HJy3QBxUX6fqceqGpdE9YxWo\/edit?usp=sharing\">Building a Mountain Resort Part 2 &#8211; The Plan<\/a><\/li>\n<li><a href=\"https:\/\/docs.google.com\/document\/d\/1wpB4rsmQblDjyULx8lW2pv_DTmH4HY0bKsdRDnzyKyQ\/edit?usp=sharing\">Building a Mountain Resort Part 3 &#8211; The Building and Attractions<\/a><\/li>\n<li><a href=\"https:\/\/docs.google.com\/document\/d\/1P_cdsrhOBTDV-UUxbXGq2jmTfmR89I9N115h6PiGhVk\/edit?usp=sharing\">Building a Mountain Resort Part 4 &#8211; The Finishing Touches<\/a><\/li>\n<li><a href=\"https:\/\/docs.google.com\/document\/d\/1HdPmB0eyboY_vtYMHhQaROuE4mYeiGDYQhLjChFSxXE\/edit?usp=sharing\">Building a Mountain Resort &#8211; Capstone Project Finale<\/a><\/li>\n<\/ul>\n<p>[<a class=\"anchorLink\" href=\"#top\">return to top<\/a>]<\/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>. 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.<\/p>\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Calculus+1+2024+Build\/Lumen-Learning-Calculus-I.epub\" target=\"_blank\" rel=\"noopener\">Calculus I EPUB<\/a><\/p>\n<p>This 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\" \/><br \/>\nIf 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>. <\/p>\n<p>[<a class=\"anchorLink\" href=\"#top\">return to top<\/a>]<\/section>\n","protected":false},"author":15,"menu_order":1,"template":"","meta":{"_candela_citation":"[]","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"part":125,"module-header":"- Select Header -","content_attributions":[],"internal_book_links":[{"href":"https:\/\/content.one.lumenlearning.com\/calculus1\/chapter\/basic-functions-and-graphs-get-stronger\/","book":"calculus1","post_id":1990},{"href":"https:\/\/content.one.lumenlearning.com\/calculus1\/chapter\/more-basic-functions-and-graphs-get-stronger\/","book":"calculus1","post_id":1994},{"href":"https:\/\/content.one.lumenlearning.com\/calculus1\/chapter\/understanding-limits-get-stronger\/","book":"calculus1","post_id":1998},{"href":"https:\/\/content.one.lumenlearning.com\/calculus1\/chapter\/limits-and-continuity-get-stronger\/","book":"calculus1","post_id":2002},{"href":"https:\/\/content.one.lumenlearning.com\/calculus1\/chapter\/introduction-to-derivatives-get-stronger\/","book":"calculus1","post_id":2006},{"href":"https:\/\/content.one.lumenlearning.com\/calculus1\/chapter\/techniques-for-differentiation-get-stronger\/","book":"calculus1","post_id":2010},{"href":"https:\/\/content.one.lumenlearning.com\/calculus1\/chapter\/analytical-applications-of-derivatives-get-stronger\/","book":"calculus1","post_id":2014},{"href":"https:\/\/content.one.lumenlearning.com\/calculus1\/chapter\/contextual-applications-of-derivatives-get-stronger\/","book":"calculus1","post_id":2018},{"href":"https:\/\/content.one.lumenlearning.com\/calculus1\/chapter\/introduction-to-integration-get-stronger\/","book":"calculus1","post_id":2022},{"href":"https:\/\/content.one.lumenlearning.com\/calculus1\/chapter\/techniques-for-integration-get-stronger\/","book":"calculus1","post_id":2026},{"href":"https:\/\/content.one.lumenlearning.com\/calculus1\/chapter\/applications-of-integration-get-stronger\/","book":"calculus1","post_id":2030},{"href":"https:\/\/content.one.lumenlearning.com\/calculus1\/chapter\/physical-applications-of-integration-get-stronger\/","book":"calculus1","post_id":2034},{"href":"https:\/\/content.one.lumenlearning.com\/calculus1\/chapter\/integration-of-exponential-logarithmic-and-hyperbolic-functions-get-stronger\/","book":"calculus1","post_id":2038}],"video_content":null,"cc_video_embed_content":{"cc_scripts":"","media_targets":[]},"try_it_collection":null,"_links":{"self":[{"href":"https:\/\/content.one.lumenlearning.com\/calculus1\/wp-json\/pressbooks\/v2\/chapters\/4198"}],"collection":[{"href":"https:\/\/content.one.lumenlearning.com\/calculus1\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/content.one.lumenlearning.com\/calculus1\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/calculus1\/wp-json\/wp\/v2\/users\/15"}],"version-history":[{"count":25,"href":"https:\/\/content.one.lumenlearning.com\/calculus1\/wp-json\/pressbooks\/v2\/chapters\/4198\/revisions"}],"predecessor-version":[{"id":4865,"href":"https:\/\/content.one.lumenlearning.com\/calculus1\/wp-json\/pressbooks\/v2\/chapters\/4198\/revisions\/4865"}],"part":[{"href":"https:\/\/content.one.lumenlearning.com\/calculus1\/wp-json\/pressbooks\/v2\/parts\/125"}],"metadata":[{"href":"https:\/\/content.one.lumenlearning.com\/calculus1\/wp-json\/pressbooks\/v2\/chapters\/4198\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/content.one.lumenlearning.com\/calculus1\/wp-json\/wp\/v2\/media?parent=4198"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/calculus1\/wp-json\/pressbooks\/v2\/chapter-type?post=4198"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/calculus1\/wp-json\/wp\/v2\/contributor?post=4198"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/calculus1\/wp-json\/wp\/v2\/license?post=4198"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}