{"results":"\u003cdiv class='relative search-result-item thumbnail-card' data-id='4503' data-is-require-teacher-acknowledgment='false' data-item-type='CollectionItemFolder' data-type='SharedCollection'\u003e\n\n\u003cdiv class='panel panel-default panel-resource mb-0 border-none'\u003e\n\u003cdiv class='resource-card-loader'\u003e\u003c/div\u003e\n\u003cdiv class='resource-type-banner folder-icon'\u003e\n\u003cdiv class=\"type-resource type-topic type-folder\"\u003e\u003cspan class=\"fa-lg banner-outer-icon resource-icon folder-icon resource-icon fa-stack\"\u003e\u003ci class=\"fa-solid fa-solid fa-folder-blank fa-stack-1x\"\u003e\u003c/i\u003e\u003ci class=\"fa-solid fa-play mr5 fa-stack-1x banner-inner-icon fa-stack-center\" style=\"transform: translateX(25%);\"\u003e\u003c/i\u003e\u003c/span\u003e\u003cspan class=\"resource-bg\"\u003e\u003c/span\u003e\u003c/div\u003e\n\u003cspan class='item-count'\u003e\n\u003cspan\u003e38\u003c/span\u003e\n\u003cspan\u003eItems in Topic\u003c/span\u003e\n\u003c/span\u003e\n\u003c/div\u003e\n\u003cdiv class='thumb-img-wrap-width-helper'\u003e\u003c/div\u003e\n\u003cdiv class='thumb-img-wrap'\u003e\n\u003ca class=\"trk-show-resource\" title=\"AP Calculus AB Topic\" href=\"/collections/ap-calculus-ab\"\u003e\u003cimg title=\"AP Calculus AB\" alt=\"AP Calculus AB\" class=\"img-responsive resource-img lozad\" id=\"js-collection-thumbnail\" data-default-image=\"https://static.lp.lexp.cloud/images/attachment_defaults/collection/default.png\" data-src=\"//app.lp.dev.lexp.cloud/content/resources/thumbnails/334360/large/bwluav9tywdpy2symde3mdewmy0ymjiwmy14axp5zhyuanbn.jpg?1483460345\" onError=\"handleImageNotLoadedError(this)\" width=\"315\" height=\"220\" src=\"data:image/png;base64,R0lGODlhAQABAAD/ACwAAAAAAQABAAACADs\" /\u003e\n\u003c/a\u003e\u003ci class='fa-solid fa-image fa-6x thumb-img-wrap-icon'\u003e\u003c/i\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-info-wrap'\u003e\n\u003cdiv class='resource-info'\u003e\n\u003cdiv class='resource-info-top overflow-hidden text-ellipsis'\u003e\n\u003cspan class='resource-pool-tag'\u003eLesson Planet Curated\u003c/span\u003e\n\u003c/div\u003e\n\u003ch4 class='resource-title' title='AP Calculus AB'\u003e\n\u003ca class=\"trk-show-resource\" title=\"AP Calculus AB Topic\" href=\"/collections/ap-calculus-ab\"\u003eAP Calculus AB\n\u003c/a\u003e\u003c/h4\u003e\n\u003cdiv class='resource-meta text-xs text-gray-600 overflow-hidden text-ellipsis'\u003e\n\u003ci class='lp-icon fa-solid fa-user'\u003e\u003c/i\u003e\n\u003cspan class='resource-audience'\u003eFor Students\u003c/span\u003e\n\u003ci class='lp-icon fa-regular fa-graduation-cap'\u003e\u003c/i\u003e\n\u003cspan class='resource-grade'\u003e11th - 12th\u003c/span\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-description-wrap'\u003e\n\u003cdiv class='resource-description'\u003e\nPrepare high school mathematicians for the AP Calculus AB exam with a collection of 38 videos that can be used to introduce the topics or as a review. The videos focus on two processes; differentiating a function and integrating a...\n\u003c/div\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-actions bg-white'\u003e\n\u003ca class=\"btn btn-default btn-xs text-xs free-access-btn upgrade-btn\" title=\"Get Free Access to AP Calculus AB Topic\" data-track-click=\"Search result free access button\" data-track-label=\"Search Page\" data-posthog-event=\"Signup: LP Signup Activity\" data-posthog-location=\"body_button_other\" data-remote=\"true\" href=\"/subscription/new?signup_resource_id=4503\"\u003e\u003ci class='fa-regular fa-eye'\u003e\u003c/i\u003e\n\u003cspan class='button-text'\u003eGet Free Access\u003c/span\u003e\n\u003c/a\u003e\u003c/div\u003e\n\u003c/div\u003e\n\u003c/div\u003e\n\u003c/div\u003e\n\n\u003c/div\u003e\n\n\u003cdiv class='relative search-result-item thumbnail-card no-access' data-id='1040521' data-is-require-teacher-acknowledgment='false' data-item-type='CollectionItemResource' data-type='Resource'\u003e\n\n\u003cdiv class='panel panel-default panel-resource mb-0 border-none'\u003e\n\u003cdiv class='resource-card-loader'\u003e\u003c/div\u003e\n\u003cdiv class='resource-type-banner'\u003e\n\u003cdiv class=\"type-resource type-unit-plan\"\u003e\u003ci class=\"fa-solid fa-bars resource-icon\"\u003e\u003c/i\u003e\u003cspan class=\"ml-5 relative z-10\"\u003eUnit Plan\u003c/span\u003e\u003cspan class=\"resource-bg\"\u003e\u003c/span\u003e\u003c/div\u003e\n\u003c/div\u003e\n\u003cdiv class='thumb-img-wrap-width-helper'\u003e\u003c/div\u003e\n\u003cdiv class='thumb-img-wrap'\u003e\n\u003ca class=\"trk-show-resource\" title=\"More Functions, More Features Unit plan\" href=\"/teachers/more-functions-more-features\"\u003e\u003cimg class=\"resource-img img-thumbnail img-responsive lozad\" alt=\"More Functions, More Features Unit Plan\" title=\"More Functions, More Features Unit Plan\" onError=\"handleImageNotLoadedError(this)\" data-default-image=\"https://static.lp.lexp.cloud/images/attachment_defaults/resource/large/FPO-pdf.png\" data-src=\"//app.lp.dev.lexp.cloud/content/resources/thumbnails/326612/large/bwluav9tywdpy2symde1mduwns0ymja5os0xnww2ytb5lmpwzw.jpg?1430871317\" width=\"315\" height=\"220\" src=\"data:image/png;base64,R0lGODlhAQABAAD/ACwAAAAAAQABAAACADs\" /\u003e\n\u003c/a\u003e\u003ci class='fa-solid fa-image fa-6x thumb-img-wrap-icon'\u003e\u003c/i\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-info-wrap'\u003e\n\u003cdiv class='resource-info'\u003e\n\u003cdiv class='resource-info-top overflow-hidden text-ellipsis'\u003e\n\u003cspan class='resource-pool-tag'\u003eMathematics Vision Project\u003c/span\u003e\n\u003c/div\u003e\n\u003ch4 class='resource-title' title='More Functions, More Features'\u003e\n\u003ca class=\"trk-show-resource\" title=\"More Functions, More Features Unit plan\" href=\"/teachers/more-functions-more-features\"\u003eMore Functions, More Features\n\u003c/a\u003e\u003c/h4\u003e\n\u003cdiv class='resource-meta text-xs text-gray-600 overflow-hidden text-ellipsis'\u003e\n\u003ci class='lp-icon fa-solid fa-user'\u003e\u003c/i\u003e\n\u003cspan class='resource-audience'\u003eFor Teachers\u003c/span\u003e\n\u003ci class='lp-icon fa-regular fa-graduation-cap'\u003e\u003c/i\u003e\n\u003cspan class='resource-grade'\u003e10th - 12th\u003c/span\u003e\n\u003ci class='lp-icon fa-regular fa-circle-check'\u003e\u003c/i\u003e\n\u003cspan class='resource-standards'\u003eStandards\u003c/span\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-description-wrap'\u003e\n\u003cdiv class='resource-description'\u003e\nLearners tackle a wide range of intimidating topics in this comprehensive unit that spans piecewise functions, absolute value of functions, and inverse functions (among other topics). Investigative group work alternates with more...\n\u003c/div\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-actions bg-white'\u003e\n\u003ca class=\"btn btn-default btn-xs text-xs free-access-btn upgrade-btn\" title=\"Get Free Access to More Functions, More Features Unit plan\" data-track-click=\"Search result free access button\" data-track-label=\"Search Page\" data-posthog-event=\"Signup: LP Signup Activity\" data-posthog-location=\"body_button_other\" data-remote=\"true\" href=\"/subscription/new?signup_resource_id=1040521\"\u003e\u003ci class='fa-regular fa-eye'\u003e\u003c/i\u003e\n\u003cspan class='button-text'\u003eGet Free Access\u003c/span\u003e\n\u003c/a\u003e\u003ca class=\"btn btn-default btn-xs text-xs trk-show-resource\" title=\"More Functions, More Features Unit plan\" href=\"/teachers/more-functions-more-features\"\u003e\u003ci class='fa-solid fa-list-ul'\u003e\u003c/i\u003e\n\u003cspan class='button-text'\u003eSee Review\u003c/span\u003e\n\u003c/a\u003e\u003c/div\u003e\n\u003c/div\u003e\n\u003c/div\u003e\n\u003c/div\u003e\n\n\u003c/div\u003e\n\n\n\u003cdiv class='relative search-result-item thumbnail-card no-access' data-id='1049606' data-is-require-teacher-acknowledgment='false' data-item-type='CollectionItemResource' data-type='Resource'\u003e\n\n\u003cdiv class='panel panel-default panel-resource mb-0 border-none'\u003e\n\u003cdiv class='resource-card-loader'\u003e\u003c/div\u003e\n\u003cdiv class='resource-type-banner'\u003e\n\u003cdiv class=\"type-resource type-ebook\"\u003e\u003ci class=\"fa-solid fa-tablet resource-icon\"\u003e\u003c/i\u003e\u003cspan class=\"ml-5 relative z-10\"\u003eeBook\u003c/span\u003e\u003cspan class=\"resource-bg\"\u003e\u003c/span\u003e\u003c/div\u003e\n\u003c/div\u003e\n\u003cdiv class='thumb-img-wrap-width-helper'\u003e\u003c/div\u003e\n\u003cdiv class='thumb-img-wrap'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Calculus Ebook\" href=\"/teachers/calculus-11th-higher-ed\"\u003e\u003cimg class=\"resource-img img-thumbnail img-responsive lozad\" alt=\"Calculus eBook\" title=\"Calculus eBook\" onError=\"handleImageNotLoadedError(this)\" data-default-image=\"https://static.lp.lexp.cloud/images/attachment_defaults/resource/large/FPO-pdf.png\" data-src=\"//app.lp.dev.lexp.cloud/content/resources/thumbnails/745/large/u2nyzwvux1nob3rfmjaxny0wmi0wov9hdf84lja4lji2x0fnlnbuzw.png?1486656532\" width=\"315\" height=\"220\" src=\"data:image/png;base64,R0lGODlhAQABAAD/ACwAAAAAAQABAAACADs\" /\u003e\n\u003c/a\u003e\u003ci class='fa-solid fa-image fa-6x thumb-img-wrap-icon'\u003e\u003c/i\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-info-wrap'\u003e\n\u003cdiv class='resource-info'\u003e\n\u003cdiv class='resource-info-top overflow-hidden text-ellipsis'\u003e\n\u003cspan class='resource-pool-tag'\u003eWhitman College\u003c/span\u003e\n\u003c/div\u003e\n\u003ch4 class='resource-title' title='Calculus'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Calculus Ebook\" href=\"/teachers/calculus-11th-higher-ed\"\u003eCalculus\n\u003c/a\u003e\u003c/h4\u003e\n\u003cdiv class='resource-meta text-xs text-gray-600 overflow-hidden text-ellipsis'\u003e\n\u003ci class='lp-icon fa-solid fa-user'\u003e\u003c/i\u003e\n\u003cspan class='resource-audience'\u003eFor Students\u003c/span\u003e\n\u003ci class='lp-icon fa-regular fa-graduation-cap'\u003e\u003c/i\u003e\n\u003cspan class='resource-grade'\u003e11th - Higher Ed\u003c/span\u003e\n\u003ci class='lp-icon fa-regular fa-circle-check'\u003e\u003c/i\u003e\n\u003cspan class='resource-standards'\u003eStandards\u003c/span\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-description-wrap'\u003e\n\u003cdiv class='resource-description'\u003e\nEverything you wanted to know about calculus—and more! The resource is a complete Calculus textbook\u0026nbsp;with\u0026nbsp;explanations, examples, and practice problems.\u0026nbsp;\n\u003c/div\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-actions bg-white'\u003e\n\u003ca class=\"btn btn-default btn-xs text-xs free-access-btn upgrade-btn\" title=\"Get Free Access to Calculus Ebook\" data-track-click=\"Search result free access button\" data-track-label=\"Search Page\" data-posthog-event=\"Signup: LP Signup Activity\" data-posthog-location=\"body_button_other\" data-remote=\"true\" href=\"/subscription/new?signup_resource_id=1049606\"\u003e\u003ci class='fa-regular fa-eye'\u003e\u003c/i\u003e\n\u003cspan class='button-text'\u003eGet Free Access\u003c/span\u003e\n\u003c/a\u003e\u003ca class=\"btn btn-default btn-xs text-xs trk-show-resource\" title=\"Calculus Ebook\" href=\"/teachers/calculus-11th-higher-ed\"\u003e\u003ci class='fa-solid fa-list-ul'\u003e\u003c/i\u003e\n\u003cspan class='button-text'\u003eSee Review\u003c/span\u003e\n\u003c/a\u003e\u003c/div\u003e\n\u003c/div\u003e\n\u003c/div\u003e\n\u003c/div\u003e\n\n\u003c/div\u003e\n\n\n\u003cdiv class='relative search-result-item thumbnail-card no-access' data-id='1072167' data-is-require-teacher-acknowledgment='false' data-item-type='CollectionItemResource' data-type='Resource'\u003e\n\n\u003cdiv class='panel panel-default panel-resource mb-0 border-none'\u003e\n\u003cdiv class='resource-card-loader'\u003e\u003c/div\u003e\n\u003cdiv class='resource-type-banner'\u003e\n\u003cdiv class=\"type-resource type-ap-test-prep\"\u003e\u003ci class=\"fa-solid fa-file resource-icon\"\u003e\u003c/i\u003e\u003cspan class=\"ml-5 relative z-10\"\u003eAP Test Prep\u003c/span\u003e\u003cspan class=\"resource-bg\"\u003e\u003c/span\u003e\u003c/div\u003e\n\u003c/div\u003e\n\u003cdiv class='thumb-img-wrap-width-helper'\u003e\u003c/div\u003e\n\u003cdiv class='thumb-img-wrap'\u003e\n\u003ca class=\"trk-show-resource\" title=\"2009 AP® Calculus BC Free-Response Questions Form B Ap test prep\" href=\"/teachers/2009-ap-calculus-bc-free-response-questions-form-b\"\u003e\u003cimg class=\"resource-img img-thumbnail img-responsive lozad\" alt=\"2009 AP® Calculus BC Free-Response Questions Form B AP Test Prep\" title=\"2009 AP® Calculus BC Free-Response Questions Form B AP Test Prep\" onError=\"handleImageNotLoadedError(this)\" data-default-image=\"https://static.lp.lexp.cloud/images/attachment_defaults/resource/large/FPO-pdf.png\" data-src=\"//app.lp.dev.lexp.cloud/content/resources/thumbnails/405106/large/u2nyzwvux1nob3rfmjaxos0xms0wof9hdf8xms41mc4ynv9bts5wbmc.png?1573242641\" width=\"315\" height=\"220\" src=\"data:image/png;base64,R0lGODlhAQABAAD/ACwAAAAAAQABAAACADs\" /\u003e\n\u003c/a\u003e\u003ci class='fa-solid fa-image fa-6x thumb-img-wrap-icon'\u003e\u003c/i\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-info-wrap'\u003e\n\u003cdiv class='resource-info'\u003e\n\u003cdiv class='resource-info-top overflow-hidden text-ellipsis'\u003e\n\u003cspan class='resource-pool-tag'\u003eCollege Board\u003c/span\u003e\n\u003c/div\u003e\n\u003ch4 class='resource-title' title='2009 AP® Calculus BC Free-Response Questions Form B'\u003e\n\u003ca class=\"trk-show-resource\" title=\"2009 AP® Calculus BC Free-Response Questions Form B Ap test prep\" href=\"/teachers/2009-ap-calculus-bc-free-response-questions-form-b\"\u003e2009 AP® Calculus BC Free-Response Questions Form B\n\u003c/a\u003e\u003c/h4\u003e\n\u003cdiv class='resource-meta text-xs text-gray-600 overflow-hidden text-ellipsis'\u003e\n\u003ci class='lp-icon fa-solid fa-user'\u003e\u003c/i\u003e\n\u003cspan class='resource-audience'\u003eFor Students\u003c/span\u003e\n\u003ci class='lp-icon fa-regular fa-graduation-cap'\u003e\u003c/i\u003e\n\u003cspan class='resource-grade'\u003e10th - 12th\u003c/span\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-description-wrap'\u003e\n\u003cdiv class='resource-description'\u003e\nLet them eat cake. The free-response questions from an AP® Calculus BC exam cover several topics that include finding the area under a curve within the context of creating a birthday cake. Calculus concepts include finding rates of...\n\u003c/div\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-actions bg-white'\u003e\n\u003ca class=\"btn btn-default btn-xs text-xs free-access-btn upgrade-btn\" title=\"Get Free Access to 2009 AP® Calculus BC Free-Response Questions Form B Ap test prep\" data-track-click=\"Search result free access button\" data-track-label=\"Search Page\" data-posthog-event=\"Signup: LP Signup Activity\" data-posthog-location=\"body_button_other\" data-remote=\"true\" href=\"/subscription/new?signup_resource_id=1072167\"\u003e\u003ci class='fa-regular fa-eye'\u003e\u003c/i\u003e\n\u003cspan class='button-text'\u003eGet Free Access\u003c/span\u003e\n\u003c/a\u003e\u003ca class=\"btn btn-default btn-xs text-xs trk-show-resource\" title=\"2009 AP® Calculus BC Free-Response Questions Form B Ap test prep\" href=\"/teachers/2009-ap-calculus-bc-free-response-questions-form-b\"\u003e\u003ci class='fa-solid fa-list-ul'\u003e\u003c/i\u003e\n\u003cspan class='button-text'\u003eSee Review\u003c/span\u003e\n\u003c/a\u003e\u003c/div\u003e\n\u003c/div\u003e\n\u003c/div\u003e\n\u003c/div\u003e\n\n\u003c/div\u003e\n\n\n\u003cdiv class='relative search-result-item thumbnail-card no-access' data-id='1072173' data-is-require-teacher-acknowledgment='false' data-item-type='CollectionItemResource' data-type='Resource'\u003e\n\n\u003cdiv class='panel panel-default panel-resource mb-0 border-none'\u003e\n\u003cdiv class='resource-card-loader'\u003e\u003c/div\u003e\n\u003cdiv class='resource-type-banner'\u003e\n\u003cdiv class=\"type-resource type-ap-test-prep\"\u003e\u003ci class=\"fa-solid fa-file resource-icon\"\u003e\u003c/i\u003e\u003cspan class=\"ml-5 relative z-10\"\u003eAP Test Prep\u003c/span\u003e\u003cspan class=\"resource-bg\"\u003e\u003c/span\u003e\u003c/div\u003e\n\u003c/div\u003e\n\u003cdiv class='thumb-img-wrap-width-helper'\u003e\u003c/div\u003e\n\u003cdiv class='thumb-img-wrap'\u003e\n\u003ca class=\"trk-show-resource\" title=\"2002 AP® Calculus BC Free-Response Questions Form B Ap test prep\" href=\"/teachers/2002-ap-calculus-bc-free-response-questions-form-b\"\u003e\u003cimg class=\"resource-img img-thumbnail img-responsive lozad\" alt=\"2002 AP® Calculus BC Free-Response Questions Form B AP Test Prep\" title=\"2002 AP® Calculus BC Free-Response Questions Form B AP Test Prep\" onError=\"handleImageNotLoadedError(this)\" data-default-image=\"https://static.lp.lexp.cloud/images/attachment_defaults/resource/large/FPO-pdf.png\" data-src=\"//app.lp.dev.lexp.cloud/content/resources/thumbnails/405111/large/u2nyzwvux1nob3rfmjaxos0xms0wof9hdf8xms41nc40nf9bts5wbmc.png?1573242898\" width=\"315\" height=\"220\" src=\"data:image/png;base64,R0lGODlhAQABAAD/ACwAAAAAAQABAAACADs\" /\u003e\n\u003c/a\u003e\u003ci class='fa-solid fa-image fa-6x thumb-img-wrap-icon'\u003e\u003c/i\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-info-wrap'\u003e\n\u003cdiv class='resource-info'\u003e\n\u003cdiv class='resource-info-top overflow-hidden text-ellipsis'\u003e\n\u003cspan class='resource-pool-tag'\u003eCollege Board\u003c/span\u003e\n\u003c/div\u003e\n\u003ch4 class='resource-title' title='2002 AP® Calculus BC Free-Response Questions Form B'\u003e\n\u003ca class=\"trk-show-resource\" title=\"2002 AP® Calculus BC Free-Response Questions Form B Ap test prep\" href=\"/teachers/2002-ap-calculus-bc-free-response-questions-form-b\"\u003e2002 AP® Calculus BC Free-Response Questions Form B\n\u003c/a\u003e\u003c/h4\u003e\n\u003cdiv class='resource-meta text-xs text-gray-600 overflow-hidden text-ellipsis'\u003e\n\u003ci class='lp-icon fa-solid fa-user'\u003e\u003c/i\u003e\n\u003cspan class='resource-audience'\u003eFor Students\u003c/span\u003e\n\u003ci class='lp-icon fa-regular fa-graduation-cap'\u003e\u003c/i\u003e\n\u003cspan class='resource-grade'\u003e10th - 12th\u003c/span\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-description-wrap'\u003e\n\u003cdiv class='resource-description'\u003e\nThough the items may be older, they still provide information. Released free-response items from the 2002 AP® Calculus BC exam provide teachers and pupils with information about how topics appear on the exam. Questions come from the AB...\n\u003c/div\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-actions bg-white'\u003e\n\u003ca class=\"btn btn-default btn-xs text-xs free-access-btn upgrade-btn\" title=\"Get Free Access to 2002 AP® Calculus BC Free-Response Questions Form B Ap test prep\" data-track-click=\"Search result free access button\" data-track-label=\"Search Page\" data-posthog-event=\"Signup: LP Signup Activity\" data-posthog-location=\"body_button_other\" data-remote=\"true\" href=\"/subscription/new?signup_resource_id=1072173\"\u003e\u003ci class='fa-regular fa-eye'\u003e\u003c/i\u003e\n\u003cspan class='button-text'\u003eGet Free Access\u003c/span\u003e\n\u003c/a\u003e\u003ca class=\"btn btn-default btn-xs text-xs trk-show-resource\" title=\"2002 AP® Calculus BC Free-Response Questions Form B Ap test prep\" href=\"/teachers/2002-ap-calculus-bc-free-response-questions-form-b\"\u003e\u003ci class='fa-solid fa-list-ul'\u003e\u003c/i\u003e\n\u003cspan class='button-text'\u003eSee Review\u003c/span\u003e\n\u003c/a\u003e\u003c/div\u003e\n\u003c/div\u003e\n\u003c/div\u003e\n\u003c/div\u003e\n\n\u003c/div\u003e\n\n\n\u003cdiv class='relative search-result-item thumbnail-card no-access' data-id='1072166' data-is-require-teacher-acknowledgment='false' data-item-type='CollectionItemResource' data-type='Resource'\u003e\n\n\u003cdiv class='panel panel-default panel-resource mb-0 border-none'\u003e\n\u003cdiv class='resource-card-loader'\u003e\u003c/div\u003e\n\u003cdiv class='resource-type-banner'\u003e\n\u003cdiv class=\"type-resource type-ap-test-prep\"\u003e\u003ci class=\"fa-solid fa-file resource-icon\"\u003e\u003c/i\u003e\u003cspan class=\"ml-5 relative z-10\"\u003eAP Test Prep\u003c/span\u003e\u003cspan class=\"resource-bg\"\u003e\u003c/span\u003e\u003c/div\u003e\n\u003c/div\u003e\n\u003cdiv class='thumb-img-wrap-width-helper'\u003e\u003c/div\u003e\n\u003cdiv class='thumb-img-wrap'\u003e\n\u003ca class=\"trk-show-resource\" title=\"2010 AP® Calculus BC Free-Response Questions Form B Ap test prep\" href=\"/teachers/2010-ap-calculus-bc-free-response-questions-form-b\"\u003e\u003cimg class=\"resource-img img-thumbnail img-responsive lozad\" alt=\"2010 AP® Calculus BC Free-Response Questions Form B AP Test Prep\" title=\"2010 AP® Calculus BC Free-Response Questions Form B AP Test Prep\" onError=\"handleImageNotLoadedError(this)\" data-default-image=\"https://static.lp.lexp.cloud/images/attachment_defaults/resource/large/FPO-pdf.png\" data-src=\"//app.lp.dev.lexp.cloud/content/resources/thumbnails/405104/large/u2nyzwvux1nob3rfmjaxos0xms0wof9hdf8xms40os40mf9bts5wbmc.png?1573242594\" width=\"315\" height=\"220\" src=\"data:image/png;base64,R0lGODlhAQABAAD/ACwAAAAAAQABAAACADs\" /\u003e\n\u003c/a\u003e\u003ci class='fa-solid fa-image fa-6x thumb-img-wrap-icon'\u003e\u003c/i\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-info-wrap'\u003e\n\u003cdiv class='resource-info'\u003e\n\u003cdiv class='resource-info-top overflow-hidden text-ellipsis'\u003e\n\u003cspan class='resource-pool-tag'\u003eCollege Board\u003c/span\u003e\n\u003c/div\u003e\n\u003ch4 class='resource-title' title='2010 AP® Calculus BC Free-Response Questions Form B'\u003e\n\u003ca class=\"trk-show-resource\" title=\"2010 AP® Calculus BC Free-Response Questions Form B Ap test prep\" href=\"/teachers/2010-ap-calculus-bc-free-response-questions-form-b\"\u003e2010 AP® Calculus BC Free-Response Questions Form B\n\u003c/a\u003e\u003c/h4\u003e\n\u003cdiv class='resource-meta text-xs text-gray-600 overflow-hidden text-ellipsis'\u003e\n\u003ci class='lp-icon fa-solid fa-user'\u003e\u003c/i\u003e\n\u003cspan class='resource-audience'\u003eFor Students\u003c/span\u003e\n\u003ci class='lp-icon fa-regular fa-graduation-cap'\u003e\u003c/i\u003e\n\u003cspan class='resource-grade'\u003e10th - 12th\u003c/span\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-description-wrap'\u003e\n\u003cdiv class='resource-description'\u003e\nKeep moving along a curve. Two items in the set of released free-response questions from the 2010 AP® Calculus BC exam involve movement along a graph. One involves particle motion along a polar curve while the other uses a squirrel...\n\u003c/div\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-actions bg-white'\u003e\n\u003ca class=\"btn btn-default btn-xs text-xs free-access-btn upgrade-btn\" title=\"Get Free Access to 2010 AP® Calculus BC Free-Response Questions Form B Ap test prep\" data-track-click=\"Search result free access button\" data-track-label=\"Search Page\" data-posthog-event=\"Signup: LP Signup Activity\" data-posthog-location=\"body_button_other\" data-remote=\"true\" href=\"/subscription/new?signup_resource_id=1072166\"\u003e\u003ci class='fa-regular fa-eye'\u003e\u003c/i\u003e\n\u003cspan class='button-text'\u003eGet Free Access\u003c/span\u003e\n\u003c/a\u003e\u003ca class=\"btn btn-default btn-xs text-xs trk-show-resource\" title=\"2010 AP® Calculus BC Free-Response Questions Form B Ap test prep\" href=\"/teachers/2010-ap-calculus-bc-free-response-questions-form-b\"\u003e\u003ci class='fa-solid fa-list-ul'\u003e\u003c/i\u003e\n\u003cspan class='button-text'\u003eSee Review\u003c/span\u003e\n\u003c/a\u003e\u003c/div\u003e\n\u003c/div\u003e\n\u003c/div\u003e\n\u003c/div\u003e\n\n\u003c/div\u003e\n\n\n\u003cdiv class='relative search-result-item thumbnail-card' data-id='962754' data-is-require-teacher-acknowledgment='false' data-item-type='CollectionItemResource' data-type='Resource'\u003e\n\n\u003cdiv class='panel panel-default panel-resource mb-0 border-none'\u003e\n\u003cdiv class='resource-card-loader'\u003e\u003c/div\u003e\n\u003cdiv class='resource-type-banner'\u003e\n\u003cdiv class=\"type-resource type-lesson-planet-article\"\u003e\u003ci class=\"fa-solid fa-bookmark resource-icon\"\u003e\u003c/i\u003e\u003cspan class=\"ml-5 relative z-10\"\u003eLesson Planet Article\u003c/span\u003e\u003cspan class=\"resource-bg\"\u003e\u003c/span\u003e\u003c/div\u003e\n\u003c/div\u003e\n\u003cdiv class='thumb-img-wrap-width-helper'\u003e\u003c/div\u003e\n\u003cdiv class='thumb-img-wrap'\u003e\n\u003ca class=\"\" title=\"Exploring Functions with Calculus and Dynamic Software Lesson planet article\" href=\"/teachers/exploring-functions-with-calculus-and-dynamic-software\"\u003e\u003cimg class=\"resource-img img-thumbnail img-responsive lozad\" alt=\"Exploring Functions with Calculus and Dynamic Software Lesson Planet Article\" title=\"Exploring Functions with Calculus and Dynamic Software Lesson Planet Article\" onError=\"handleImageNotLoadedError(this)\" data-default-image=\"https://static.lp.lexp.cloud/images/attachment_defaults/resource/large/missing.png\" data-src=\"//app.lp.dev.lexp.cloud/content/resources/thumbnails/302710/large/bwluav9tywdpy2symde4mtewny0zmtk2ms0xow5sdgnklmpwzw.jpg?1541611777\" width=\"315\" height=\"220\" src=\"data:image/png;base64,R0lGODlhAQABAAD/ACwAAAAAAQABAAACADs\" /\u003e\n\u003c/a\u003e\u003ci class='fa-solid fa-image fa-6x thumb-img-wrap-icon'\u003e\u003c/i\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-info-wrap'\u003e\n\u003cdiv class='resource-info'\u003e\n\u003cdiv class='resource-info-top overflow-hidden text-ellipsis'\u003e\n\u003cspan class='resource-pool-tag'\u003eCurated OER\u003c/span\u003e\n\u003c/div\u003e\n\u003ch4 class='resource-title' title='Exploring Functions with Calculus and Dynamic Software'\u003e\n\u003ca class=\"\" title=\"Exploring Functions with Calculus and Dynamic Software Lesson planet article\" href=\"/teachers/exploring-functions-with-calculus-and-dynamic-software\"\u003eExploring Functions with Calculus and Dynamic Software\n\u003c/a\u003e\u003c/h4\u003e\n\u003cdiv class='resource-meta text-xs text-gray-600 overflow-hidden text-ellipsis'\u003e\n\u003ci class='lp-icon fa-solid fa-user'\u003e\u003c/i\u003e\n\u003cspan class='resource-audience'\u003eFor Teachers\u003c/span\u003e\n\u003ci class='lp-icon fa-regular fa-graduation-cap'\u003e\u003c/i\u003e\n\u003cspan class='resource-grade'\u003e11th - Higher Ed\u003c/span\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-description-wrap'\u003e\n\u003cdiv class='resource-description'\u003e\nCalculus can be project-based and inquiry-centered by using dynamic software.\n\u003c/div\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-actions bg-white'\u003e\n\u003ca class=\"js-testimonial-popup trk-goto-resource btn btn-default btn-xs text-xs\" target=\"_blank\" rel=\"nofollow\" data-track-click=\"Search result link to resource\" data-track-label=\"Search Page\" href=\"/goto/exploring-functions-with-calculus-and-dynamic-software\"\u003e\u003ci class='fa-regular fa-arrow-up-right-from-square'\u003e\u003c/i\u003e\n\u003cspan class='button-text'\u003eGo to Resource\u003c/span\u003e\n\u003c/a\u003e\u003ca class=\"btn btn-default btn-xs text-xs \" title=\"Exploring Functions with Calculus and Dynamic Software Lesson planet article\" href=\"/teachers/exploring-functions-with-calculus-and-dynamic-software\"\u003e\u003ci class='fa-solid fa-list-ul'\u003e\u003c/i\u003e\n\u003cspan class='button-text'\u003eSee Review\u003c/span\u003e\n\u003c/a\u003e\u003c/div\u003e\n\u003c/div\u003e\n\u003c/div\u003e\n\u003c/div\u003e\n\n\u003c/div\u003e\n\n\n\u003cdiv class='relative search-result-item thumbnail-card no-access' data-id='599103' data-is-require-teacher-acknowledgment='false' data-item-type='CollectionItemResource' data-type='Resource'\u003e\n\n\u003cdiv class='panel panel-default panel-resource mb-0 border-none'\u003e\n\u003cdiv class='resource-card-loader'\u003e\u003c/div\u003e\n\u003cdiv class='resource-type-banner'\u003e\n\u003cdiv class=\"type-resource type-worksheet\"\u003e\u003ci class=\"fa-solid fa-pen-to-square resource-icon\"\u003e\u003c/i\u003e\u003cspan class=\"ml-5 relative z-10\"\u003eWorksheet\u003c/span\u003e\u003cspan class=\"resource-bg\"\u003e\u003c/span\u003e\u003c/div\u003e\n\u003c/div\u003e\n\u003cdiv class='thumb-img-wrap-width-helper'\u003e\u003c/div\u003e\n\u003cdiv class='thumb-img-wrap'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Worksheet 38 Worksheet\" href=\"/teachers/worksheet-worksheet-38\"\u003e\u003cimg class=\"resource-img img-thumbnail img-responsive lozad\" alt=\"Worksheet 38 Worksheet\" title=\"Worksheet 38 Worksheet\" onError=\"handleImageNotLoadedError(this)\" data-default-image=\"https://static.lp.lexp.cloud/images/attachment_defaults/resource/large/FPO-pdf.png\" data-src=\"//app.lp.dev.lexp.cloud/content/resources/thumbnails/174362/large/bwluav9tywdpy2symde1mdyync0xnty5ny04env2eg0uanbn.jpg?1435171745\" width=\"315\" height=\"220\" src=\"data:image/png;base64,R0lGODlhAQABAAD/ACwAAAAAAQABAAACADs\" /\u003e\n\u003c/a\u003e\u003ci class='fa-solid fa-image fa-6x thumb-img-wrap-icon'\u003e\u003c/i\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-info-wrap'\u003e\n\u003cdiv class='resource-info'\u003e\n\u003cdiv class='resource-info-top overflow-hidden text-ellipsis'\u003e\n\u003cspan class='resource-pool-tag'\u003eCurated OER\u003c/span\u003e\n\u003c/div\u003e\n\u003ch4 class='resource-title' title='Worksheet 38'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Worksheet 38 Worksheet\" href=\"/teachers/worksheet-worksheet-38\"\u003eWorksheet 38\n\u003c/a\u003e\u003c/h4\u003e\n\u003cdiv class='resource-meta text-xs text-gray-600 overflow-hidden text-ellipsis'\u003e\n\u003ci class='lp-icon fa-solid fa-user'\u003e\u003c/i\u003e\n\u003cspan class='resource-audience'\u003eFor Students\u003c/span\u003e\n\u003ci class='lp-icon fa-regular fa-graduation-cap'\u003e\u003c/i\u003e\n\u003cspan class='resource-grade'\u003e11th - Higher Ed\u003c/span\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-description-wrap'\u003e\n\u003cdiv class='resource-description'\u003e\nIn this math worksheet, students investigate different types of functions and coordinate systems. They review that when integrating a function over a region in the plane using polar coordinates, a “magical” factor of r appears in the...\n\u003c/div\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-actions bg-white'\u003e\n\u003ca class=\"btn btn-default btn-xs text-xs free-access-btn upgrade-btn\" title=\"Get Free Access to Worksheet 38 Worksheet\" data-track-click=\"Search result free access button\" data-track-label=\"Search Page\" data-posthog-event=\"Signup: LP Signup Activity\" data-posthog-location=\"body_button_other\" data-remote=\"true\" href=\"/subscription/new?signup_resource_id=599103\"\u003e\u003ci class='fa-regular fa-eye'\u003e\u003c/i\u003e\n\u003cspan class='button-text'\u003eGet Free Access\u003c/span\u003e\n\u003c/a\u003e\u003ca class=\"btn btn-default btn-xs text-xs trk-show-resource\" title=\"Worksheet 38 Worksheet\" href=\"/teachers/worksheet-worksheet-38\"\u003e\u003ci class='fa-solid fa-list-ul'\u003e\u003c/i\u003e\n\u003cspan class='button-text'\u003eSee Review\u003c/span\u003e\n\u003c/a\u003e\u003c/div\u003e\n\u003c/div\u003e\n\u003c/div\u003e\n\u003c/div\u003e\n\n\u003c/div\u003e\n\n\n\u003cdiv class='relative search-result-item thumbnail-card no-access' data-id='599102' data-is-require-teacher-acknowledgment='false' data-item-type='CollectionItemResource' data-type='Resource'\u003e\n\n\u003cdiv class='panel panel-default panel-resource mb-0 border-none'\u003e\n\u003cdiv class='resource-card-loader'\u003e\u003c/div\u003e\n\u003cdiv class='resource-type-banner'\u003e\n\u003cdiv class=\"type-resource type-worksheet\"\u003e\u003ci class=\"fa-solid fa-pen-to-square resource-icon\"\u003e\u003c/i\u003e\u003cspan class=\"ml-5 relative z-10\"\u003eWorksheet\u003c/span\u003e\u003cspan class=\"resource-bg\"\u003e\u003c/span\u003e\u003c/div\u003e\n\u003c/div\u003e\n\u003cdiv class='thumb-img-wrap-width-helper'\u003e\u003c/div\u003e\n\u003cdiv class='thumb-img-wrap'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Worksheet 37 Worksheet\" href=\"/teachers/worksheet-worksheet-37-math-11th-higher-ed\"\u003e\u003cimg class=\"resource-img img-thumbnail img-responsive lozad\" alt=\"Worksheet 37 Worksheet\" title=\"Worksheet 37 Worksheet\" onError=\"handleImageNotLoadedError(this)\" data-default-image=\"https://static.lp.lexp.cloud/images/attachment_defaults/resource/large/FPO-pdf.png\" data-src=\"//app.lp.dev.lexp.cloud/content/resources/thumbnails/90121/large/bwluav9tywdpy2symde3mdmymy0xmzc2ms0xmjl3owlrlmpwzw.jpg?1490332568\" width=\"315\" height=\"220\" src=\"data:image/png;base64,R0lGODlhAQABAAD/ACwAAAAAAQABAAACADs\" /\u003e\n\u003c/a\u003e\u003ci class='fa-solid fa-image fa-6x thumb-img-wrap-icon'\u003e\u003c/i\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-info-wrap'\u003e\n\u003cdiv class='resource-info'\u003e\n\u003cdiv class='resource-info-top overflow-hidden text-ellipsis'\u003e\n\u003cspan class='resource-pool-tag'\u003eCurated OER\u003c/span\u003e\n\u003c/div\u003e\n\u003ch4 class='resource-title' title='Worksheet 37'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Worksheet 37 Worksheet\" href=\"/teachers/worksheet-worksheet-37-math-11th-higher-ed\"\u003eWorksheet 37\n\u003c/a\u003e\u003c/h4\u003e\n\u003cdiv class='resource-meta text-xs text-gray-600 overflow-hidden text-ellipsis'\u003e\n\u003ci class='lp-icon fa-solid fa-user'\u003e\u003c/i\u003e\n\u003cspan class='resource-audience'\u003eFor Students\u003c/span\u003e\n\u003ci class='lp-icon fa-regular fa-graduation-cap'\u003e\u003c/i\u003e\n\u003cspan class='resource-grade'\u003e11th - Higher Ed\u003c/span\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-description-wrap'\u003e\n\u003cdiv class='resource-description'\u003e\nIn this math worksheet, students sketch the regions that give rise to the integrals. Then rewrite them as double integrals with the integration order reversed.\n\u003c/div\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-actions bg-white'\u003e\n\u003ca class=\"btn btn-default btn-xs text-xs free-access-btn upgrade-btn\" title=\"Get Free Access to Worksheet 37 Worksheet\" data-track-click=\"Search result free access button\" data-track-label=\"Search Page\" data-posthog-event=\"Signup: LP Signup Activity\" data-posthog-location=\"body_button_other\" data-remote=\"true\" href=\"/subscription/new?signup_resource_id=599102\"\u003e\u003ci class='fa-regular fa-eye'\u003e\u003c/i\u003e\n\u003cspan class='button-text'\u003eGet Free Access\u003c/span\u003e\n\u003c/a\u003e\u003ca class=\"btn btn-default btn-xs text-xs trk-show-resource\" title=\"Worksheet 37 Worksheet\" href=\"/teachers/worksheet-worksheet-37-math-11th-higher-ed\"\u003e\u003ci class='fa-solid fa-list-ul'\u003e\u003c/i\u003e\n\u003cspan class='button-text'\u003eSee Review\u003c/span\u003e\n\u003c/a\u003e\u003c/div\u003e\n\u003c/div\u003e\n\u003c/div\u003e\n\u003c/div\u003e\n\n\u003c/div\u003e\n\n\n\u003cdiv class='relative search-result-item thumbnail-card no-access' data-id='1040523' data-is-require-teacher-acknowledgment='false' data-item-type='CollectionItemResource' data-type='Resource'\u003e\n\n\u003cdiv class='panel panel-default panel-resource mb-0 border-none'\u003e\n\u003cdiv class='resource-card-loader'\u003e\u003c/div\u003e\n\u003cdiv class='resource-type-banner'\u003e\n\u003cdiv class=\"type-resource type-unit-plan\"\u003e\u003ci class=\"fa-solid fa-bars resource-icon\"\u003e\u003c/i\u003e\u003cspan class=\"ml-5 relative z-10\"\u003eUnit Plan\u003c/span\u003e\u003cspan class=\"resource-bg\"\u003e\u003c/span\u003e\u003c/div\u003e\n\u003cspan class='collection-count'\u003e\n\u003cspan class='hide-on-hover'\u003e\n\u003cspan class='fa-stack'\u003e\n\u003ci class='fa-stack-1x fa-solid fa-folder-blank'\u003e\u003c/i\u003e\n\u003ci class='fa-stack-1x fa-solid fa-play inner-icon'\u003e\u003c/i\u003e\n\u003c/span\u003e\n\u003cdiv class='sc-count'\u003e2\u003c/div\u003e\n\u003c/span\u003e\n\u003cspan class='show-on-hover flex items-center'\u003e\n\u003cspan class='fa-stack mr-1'\u003e\n\u003ci class='fa-stack-1x fa-solid fa-folder-blank'\u003e\u003c/i\u003e\n\u003ci class='fa-stack-1x fa-solid fa-play inner-icon'\u003e\u003c/i\u003e\n\u003c/span\u003e\n\u003cspan class='inline-block laptop-l:hidden'\u003e\n2\n\u003c/span\u003e\n\u003cspan class='hidden laptop-l:inline-block'\u003e\nIn 2 Collections\n\u003c/span\u003e\n\u003c/span\u003e\n\u003c/span\u003e\n\u003c/div\u003e\n\u003cdiv class='thumb-img-wrap-width-helper'\u003e\u003c/div\u003e\n\u003cdiv class='thumb-img-wrap'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Quadratic Equations Unit plan\" href=\"/teachers/quadratic-equations-10th-12th\"\u003e\u003cimg class=\"resource-img img-thumbnail img-responsive lozad\" alt=\"Quadratic Equations Unit Plan\" title=\"Quadratic Equations Unit Plan\" onError=\"handleImageNotLoadedError(this)\" data-default-image=\"https://static.lp.lexp.cloud/images/attachment_defaults/resource/large/FPO-pdf.png\" data-src=\"//app.lp.dev.lexp.cloud/content/resources/thumbnails/64329/large/bwluav9tywdpy2symde3mdmymy03odmwltfudghhdwmuanbn.jpg?1490275130\" width=\"315\" height=\"220\" src=\"data:image/png;base64,R0lGODlhAQABAAD/ACwAAAAAAQABAAACADs\" /\u003e\n\u003c/a\u003e\u003ci class='fa-solid fa-image fa-6x thumb-img-wrap-icon'\u003e\u003c/i\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-info-wrap'\u003e\n\u003cdiv class='resource-info'\u003e\n\u003cdiv class='resource-info-top overflow-hidden text-ellipsis'\u003e\n\u003cspan class='resource-pool-tag'\u003eMathematics Vision Project\u003c/span\u003e\n\u003c/div\u003e\n\u003ch4 class='resource-title' title='Quadratic Equations'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Quadratic Equations Unit plan\" href=\"/teachers/quadratic-equations-10th-12th\"\u003eQuadratic Equations\n\u003c/a\u003e\u003c/h4\u003e\n\u003cdiv class='resource-meta text-xs text-gray-600 overflow-hidden text-ellipsis'\u003e\n\u003ci class='lp-icon fa-solid fa-user'\u003e\u003c/i\u003e\n\u003cspan class='resource-audience'\u003eFor Teachers\u003c/span\u003e\n\u003ci class='lp-icon fa-regular fa-graduation-cap'\u003e\u003c/i\u003e\n\u003cspan class='resource-grade'\u003e10th - 12th\u003c/span\u003e\n\u003ci class='lp-icon fa-regular fa-circle-check'\u003e\u003c/i\u003e\n\u003cspan class='resource-standards'\u003eStandards\u003c/span\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-description-wrap'\u003e\n\u003cdiv class='resource-description'\u003e\nThrough a variety of physical and theoretical situations, learners are led through the development of some of the deepest concepts in high school mathematics. Complex numbers, the fundamental theorem of algebra and rational exponents...\n\u003c/div\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-actions bg-white'\u003e\n\u003ca class=\"btn btn-default btn-xs text-xs free-access-btn upgrade-btn\" title=\"Get Free Access to Quadratic Equations Unit plan\" data-track-click=\"Search result free access button\" data-track-label=\"Search Page\" data-posthog-event=\"Signup: LP Signup Activity\" data-posthog-location=\"body_button_other\" data-remote=\"true\" href=\"/subscription/new?signup_resource_id=1040523\"\u003e\u003ci class='fa-regular fa-eye'\u003e\u003c/i\u003e\n\u003cspan class='button-text'\u003eGet Free Access\u003c/span\u003e\n\u003c/a\u003e\u003ca class=\"btn btn-default btn-xs text-xs trk-show-resource\" title=\"Quadratic Equations Unit plan\" href=\"/teachers/quadratic-equations-10th-12th\"\u003e\u003ci class='fa-solid fa-list-ul'\u003e\u003c/i\u003e\n\u003cspan class='button-text'\u003eSee Review\u003c/span\u003e\n\u003c/a\u003e\u003c/div\u003e\n\u003c/div\u003e\n\u003c/div\u003e\n\u003c/div\u003e\n\n\u003c/div\u003e\n\n\n\u003cdiv class='relative search-result-item thumbnail-card no-access' data-id='599089' data-is-require-teacher-acknowledgment='false' data-item-type='CollectionItemResource' data-type='Resource'\u003e\n\n\u003cdiv class='panel panel-default panel-resource mb-0 border-none'\u003e\n\u003cdiv class='resource-card-loader'\u003e\u003c/div\u003e\n\u003cdiv class='resource-type-banner'\u003e\n\u003cdiv class=\"type-resource type-worksheet\"\u003e\u003ci class=\"fa-solid fa-pen-to-square resource-icon\"\u003e\u003c/i\u003e\u003cspan class=\"ml-5 relative z-10\"\u003eWorksheet\u003c/span\u003e\u003cspan class=\"resource-bg\"\u003e\u003c/span\u003e\u003c/div\u003e\n\u003c/div\u003e\n\u003cdiv class='thumb-img-wrap-width-helper'\u003e\u003c/div\u003e\n\u003cdiv class='thumb-img-wrap'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Worksheet 23 Worksheet\" href=\"/teachers/worksheet-worksheet-23-11th-higher-ed\"\u003e\u003cimg class=\"resource-img img-thumbnail img-responsive lozad\" alt=\"Worksheet 23 Worksheet\" title=\"Worksheet 23 Worksheet\" onError=\"handleImageNotLoadedError(this)\" data-default-image=\"https://static.lp.lexp.cloud/images/attachment_defaults/resource/large/FPO-pdf.png\" data-src=\"//app.lp.dev.lexp.cloud/content/resources/thumbnails/336670/large/bwluav9tywdpy2symde3mduyns0xodiwmy0xbmr1ddfllmpwzw.jpg?1495719891\" width=\"315\" height=\"220\" src=\"data:image/png;base64,R0lGODlhAQABAAD/ACwAAAAAAQABAAACADs\" /\u003e\n\u003c/a\u003e\u003ci class='fa-solid fa-image fa-6x thumb-img-wrap-icon'\u003e\u003c/i\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-info-wrap'\u003e\n\u003cdiv class='resource-info'\u003e\n\u003cdiv class='resource-info-top overflow-hidden text-ellipsis'\u003e\n\u003cspan class='resource-pool-tag'\u003eCurated OER\u003c/span\u003e\n\u003c/div\u003e\n\u003ch4 class='resource-title' title='Worksheet 23'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Worksheet 23 Worksheet\" href=\"/teachers/worksheet-worksheet-23-11th-higher-ed\"\u003eWorksheet 23\n\u003c/a\u003e\u003c/h4\u003e\n\u003cdiv class='resource-meta text-xs text-gray-600 overflow-hidden text-ellipsis'\u003e\n\u003ci class='lp-icon fa-solid fa-user'\u003e\u003c/i\u003e\n\u003cspan class='resource-audience'\u003eFor Students\u003c/span\u003e\n\u003ci class='lp-icon fa-regular fa-graduation-cap'\u003e\u003c/i\u003e\n\u003cspan class='resource-grade'\u003e11th - Higher Ed\u003c/span\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-description-wrap'\u003e\n\u003cdiv class='resource-description'\u003e\nIn this math worksheet, learners practice using summation notation. Then they draw a picture of a sequence of partitions in which the mesh does not go to 0.\n\u003c/div\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-actions bg-white'\u003e\n\u003ca class=\"btn btn-default btn-xs text-xs free-access-btn upgrade-btn\" title=\"Get Free Access to Worksheet 23 Worksheet\" data-track-click=\"Search result free access button\" data-track-label=\"Search Page\" data-posthog-event=\"Signup: LP Signup Activity\" data-posthog-location=\"body_button_other\" data-remote=\"true\" href=\"/subscription/new?signup_resource_id=599089\"\u003e\u003ci class='fa-regular fa-eye'\u003e\u003c/i\u003e\n\u003cspan class='button-text'\u003eGet Free Access\u003c/span\u003e\n\u003c/a\u003e\u003ca class=\"btn btn-default btn-xs text-xs trk-show-resource\" title=\"Worksheet 23 Worksheet\" href=\"/teachers/worksheet-worksheet-23-11th-higher-ed\"\u003e\u003ci class='fa-solid fa-list-ul'\u003e\u003c/i\u003e\n\u003cspan class='button-text'\u003eSee Review\u003c/span\u003e\n\u003c/a\u003e\u003c/div\u003e\n\u003c/div\u003e\n\u003c/div\u003e\n\u003c/div\u003e\n\n\u003c/div\u003e\n\n\n\u003cdiv class='relative search-result-item thumbnail-card no-access' data-id='185808' data-is-require-teacher-acknowledgment='false' data-item-type='CollectionItemResource' data-type='Resource'\u003e\n\n\u003cdiv class='panel panel-default panel-resource mb-0 border-none'\u003e\n\u003cdiv class='resource-card-loader'\u003e\u003c/div\u003e\n\u003cdiv class='resource-type-banner'\u003e\n\u003cdiv class=\"type-resource type-lesson-plan\"\u003e\u003ci class=\"fa-solid fa-book resource-icon\"\u003e\u003c/i\u003e\u003cspan class=\"ml-5 relative z-10\"\u003eLesson Plan\u003c/span\u003e\u003cspan class=\"resource-bg\"\u003e\u003c/span\u003e\u003c/div\u003e\n\u003c/div\u003e\n\u003cdiv class='thumb-img-wrap-width-helper'\u003e\u003c/div\u003e\n\u003cdiv class='thumb-img-wrap'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Climate and Periodic Functions: Science \u0026amp; Math Integration Lesson plan\" href=\"/teachers/lesson-plan-climate-and-periodic-functions-science-andamp-math-integration\"\u003e\u003cimg class=\"resource-img img-thumbnail img-responsive lozad\" alt=\"Climate and Periodic Functions: Science \u0026amp; Math Integration Lesson Plan\" title=\"Climate and Periodic Functions: Science \u0026amp; Math Integration Lesson Plan\" onError=\"handleImageNotLoadedError(this)\" data-default-image=\"https://static.lp.lexp.cloud/images/attachment_defaults/resource/large/missing.png\" data-src=\"//app.lp.dev.lexp.cloud/content/resources/thumbnails/95635/large/bwluav9tywdpy2symde4mtixny0ymzgxos0xntjjmnfrlmpwzw.jpg?1545054091\" width=\"315\" height=\"220\" src=\"data:image/png;base64,R0lGODlhAQABAAD/ACwAAAAAAQABAAACADs\" /\u003e\n\u003c/a\u003e\u003ci class='fa-solid fa-image fa-6x thumb-img-wrap-icon'\u003e\u003c/i\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-info-wrap'\u003e\n\u003cdiv class='resource-info'\u003e\n\u003cdiv class='resource-info-top overflow-hidden text-ellipsis'\u003e\n\u003cspan class='resource-pool-tag'\u003eCurated OER\u003c/span\u003e\n\u003c/div\u003e\n\u003ch4 class='resource-title' title='Climate and Periodic Functions: Science \u0026amp; Math Integration'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Climate and Periodic Functions: Science \u0026amp; Math Integration Lesson plan\" href=\"/teachers/lesson-plan-climate-and-periodic-functions-science-andamp-math-integration\"\u003eClimate and Periodic Functions: Science \u0026 Math Integration\n\u003c/a\u003e\u003c/h4\u003e\n\u003cdiv class='resource-meta text-xs text-gray-600 overflow-hidden text-ellipsis'\u003e\n\u003ci class='lp-icon fa-solid fa-user'\u003e\u003c/i\u003e\n\u003cspan class='resource-audience'\u003eFor Teachers\u003c/span\u003e\n\u003ci class='lp-icon fa-regular fa-graduation-cap'\u003e\u003c/i\u003e\n\u003cspan class='resource-grade'\u003e9th - 12th\u003c/span\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-description-wrap'\u003e\n\u003cdiv class='resource-description'\u003e\nLearners complete a lab that introduce the scientific concept of climate on Earth. Following the lab, they complete further research on climate. Using average monthly temperatures students construct a mathematical model and analyze the...\n\u003c/div\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-actions bg-white'\u003e\n\u003ca class=\"btn btn-default btn-xs text-xs free-access-btn upgrade-btn\" title=\"Get Free Access to Climate and Periodic Functions: Science \u0026amp; Math Integration Lesson plan\" data-track-click=\"Search result free access button\" data-track-label=\"Search Page\" data-posthog-event=\"Signup: LP Signup Activity\" data-posthog-location=\"body_button_other\" data-remote=\"true\" href=\"/subscription/new?signup_resource_id=185808\"\u003e\u003ci class='fa-regular fa-eye'\u003e\u003c/i\u003e\n\u003cspan class='button-text'\u003eGet Free Access\u003c/span\u003e\n\u003c/a\u003e\u003ca class=\"btn btn-default btn-xs text-xs trk-show-resource\" title=\"Climate and Periodic Functions: Science \u0026amp; Math Integration Lesson plan\" href=\"/teachers/lesson-plan-climate-and-periodic-functions-science-andamp-math-integration\"\u003e\u003ci class='fa-solid fa-list-ul'\u003e\u003c/i\u003e\n\u003cspan class='button-text'\u003eSee Review\u003c/span\u003e\n\u003c/a\u003e\u003c/div\u003e\n\u003c/div\u003e\n\u003c/div\u003e\n\u003c/div\u003e\n\n\u003c/div\u003e\n\n\n\u003cdiv class='relative search-result-item thumbnail-card no-access' data-id='186850' data-is-require-teacher-acknowledgment='false' data-item-type='CollectionItemResource' data-type='Resource'\u003e\n\n\u003cdiv class='panel panel-default panel-resource mb-0 border-none'\u003e\n\u003cdiv class='resource-card-loader'\u003e\u003c/div\u003e\n\u003cdiv class='resource-type-banner'\u003e\n\u003cdiv class=\"type-resource type-lesson-plan\"\u003e\u003ci class=\"fa-solid fa-book resource-icon\"\u003e\u003c/i\u003e\u003cspan class=\"ml-5 relative z-10\"\u003eLesson Plan\u003c/span\u003e\u003cspan class=\"resource-bg\"\u003e\u003c/span\u003e\u003c/div\u003e\n\u003c/div\u003e\n\u003cdiv class='thumb-img-wrap-width-helper'\u003e\u003c/div\u003e\n\u003cdiv class='thumb-img-wrap'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Computer Graphing Calculator Explorations Lesson plan\" href=\"/teachers/lesson-plan-computer-graphing-calculator-explorations\"\u003e\u003cimg class=\"resource-img img-thumbnail img-responsive lozad\" alt=\"Computer Graphing Calculator Explorations Lesson Plan\" title=\"Computer Graphing Calculator Explorations Lesson Plan\" onError=\"handleImageNotLoadedError(this)\" data-default-image=\"https://static.lp.lexp.cloud/images/attachment_defaults/resource/large/missing.png\" data-src=\"//app.lp.dev.lexp.cloud/content/resources/thumbnails/96108/large/bwluav9tywdpy2symde4mtixny0ynjk1ms1pcnzvyzeuanbn.jpg?1545055506\" width=\"315\" height=\"220\" src=\"data:image/png;base64,R0lGODlhAQABAAD/ACwAAAAAAQABAAACADs\" /\u003e\n\u003c/a\u003e\u003ci class='fa-solid fa-image fa-6x thumb-img-wrap-icon'\u003e\u003c/i\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-info-wrap'\u003e\n\u003cdiv class='resource-info'\u003e\n\u003cdiv class='resource-info-top overflow-hidden text-ellipsis'\u003e\n\u003cspan class='resource-pool-tag'\u003eCurated OER\u003c/span\u003e\n\u003c/div\u003e\n\u003ch4 class='resource-title' title='Computer Graphing Calculator Explorations'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Computer Graphing Calculator Explorations Lesson plan\" href=\"/teachers/lesson-plan-computer-graphing-calculator-explorations\"\u003eComputer Graphing Calculator Explorations\n\u003c/a\u003e\u003c/h4\u003e\n\u003cdiv class='resource-meta text-xs text-gray-600 overflow-hidden text-ellipsis'\u003e\n\u003ci class='lp-icon fa-solid fa-user'\u003e\u003c/i\u003e\n\u003cspan class='resource-audience'\u003eFor Teachers\u003c/span\u003e\n\u003ci class='lp-icon fa-regular fa-graduation-cap'\u003e\u003c/i\u003e\n\u003cspan class='resource-grade'\u003e9th - 12th\u003c/span\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-description-wrap'\u003e\n\u003cdiv class='resource-description'\u003e\nHigh schoolers explore the graphing calculator feature on the Macintosh computer to explore some \"parent\" functions and their translations, combinations, and composites.\n\u003c/div\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-actions bg-white'\u003e\n\u003ca class=\"btn btn-default btn-xs text-xs free-access-btn upgrade-btn\" title=\"Get Free Access to Computer Graphing Calculator Explorations Lesson plan\" data-track-click=\"Search result free access button\" data-track-label=\"Search Page\" data-posthog-event=\"Signup: LP Signup Activity\" data-posthog-location=\"body_button_other\" data-remote=\"true\" href=\"/subscription/new?signup_resource_id=186850\"\u003e\u003ci class='fa-regular fa-eye'\u003e\u003c/i\u003e\n\u003cspan class='button-text'\u003eGet Free Access\u003c/span\u003e\n\u003c/a\u003e\u003ca class=\"btn btn-default btn-xs text-xs trk-show-resource\" title=\"Computer Graphing Calculator Explorations Lesson plan\" href=\"/teachers/lesson-plan-computer-graphing-calculator-explorations\"\u003e\u003ci class='fa-solid fa-list-ul'\u003e\u003c/i\u003e\n\u003cspan class='button-text'\u003eSee Review\u003c/span\u003e\n\u003c/a\u003e\u003c/div\u003e\n\u003c/div\u003e\n\u003c/div\u003e\n\u003c/div\u003e\n\n\u003c/div\u003e\n\n\n\u003cdiv class='relative search-result-item thumbnail-card no-access' data-id='1226791' data-is-require-teacher-acknowledgment='false' data-item-type='CollectionItemResource' data-type='Resource'\u003e\n\n\u003cdiv class='panel panel-default panel-resource mb-0 border-none'\u003e\n\u003cdiv class='resource-card-loader'\u003e\u003c/div\u003e\n\u003cdiv class='resource-type-banner'\u003e\n\u003cdiv class=\"type-resource type-instructional-video\"\u003e\u003ci class=\"fa-solid fa-circle-play resource-icon\"\u003e\u003c/i\u003e\u003cspan class=\"ml-5 relative z-10\"\u003eInstructional Video\u003c/span\u003e\u003cspan class=\"resource-bg\"\u003e\u003c/span\u003e\u003c/div\u003e\n\u003c/div\u003e\n\u003cdiv class='thumb-img-wrap-width-helper'\u003e\u003c/div\u003e\n\u003cdiv class='thumb-img-wrap'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Khan Academy: Calculus: Line Integral Example 2 (Part 2) Instructional video\" href=\"/teachers/khan-academy-calculus-line-integral-example-2-part-2\"\u003e\u003cimg class=\"resource-img img-thumbnail img-responsive lozad\" alt=\"Khan Academy: Calculus: Line Integral Example 2 (Part 2) Instructional Video\" title=\"Khan Academy: Calculus: Line Integral Example 2 (Part 2) Instructional Video\" onError=\"handleImageNotLoadedError(this)\" data-default-image=\"https://static.lp.lexp.cloud/images/attachment_defaults/resource/large/FPO-knovation.png\" data-src=\"https://content.lessonplanet.com/knovation/original/216501-7b4160dfc591e6cde9d342f3f7d7f15f.jpg?1661757777\" width=\"315\" height=\"220\" src=\"data:image/png;base64,R0lGODlhAQABAAD/ACwAAAAAAQABAAACADs\" /\u003e\n\u003c/a\u003e\u003ci class='fa-solid fa-image fa-6x thumb-img-wrap-icon'\u003e\u003c/i\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-info-wrap'\u003e\n\u003cdiv class='resource-info'\u003e\n\u003cdiv class='resource-info-top overflow-hidden text-ellipsis'\u003e\n\u003cspan class='resource-pool-tag'\u003eKhan Academy\u003c/span\u003e\n\u003c/div\u003e\n\u003ch4 class='resource-title' title='Khan Academy: Calculus: Line Integral Example 2 (Part 2)'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Khan Academy: Calculus: Line Integral Example 2 (Part 2) Instructional video\" href=\"/teachers/khan-academy-calculus-line-integral-example-2-part-2\"\u003eKhan Academy: Calculus: Line Integral Example 2 (Part 2)\n\u003c/a\u003e\u003c/h4\u003e\n\u003cdiv class='resource-meta text-xs text-gray-600 overflow-hidden text-ellipsis'\u003e\n\u003ci class='lp-icon fa-solid fa-user'\u003e\u003c/i\u003e\n\u003cspan class='resource-audience'\u003eFor Students\u003c/span\u003e\n\u003ci class='lp-icon fa-regular fa-graduation-cap'\u003e\u003c/i\u003e\n\u003cspan class='resource-grade'\u003e9th - 10th\u003c/span\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-description-wrap'\u003e\n\u003cdiv class='resource-description'\u003e\nVideo lesson continuing the problem from the previous video on finding the surface area along a closed curve using line integrals. Two line integrals are set up and solved and added to the area found previously. [9:58]\n\u003c/div\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-actions bg-white'\u003e\n\u003ca class=\"btn btn-default btn-xs text-xs free-access-btn upgrade-btn\" title=\"Get Free Access to Khan Academy: Calculus: Line Integral Example 2 (Part 2) Instructional video\" data-track-click=\"Search result free access button\" data-track-label=\"Search Page\" data-posthog-event=\"Signup: LP Signup Activity\" data-posthog-location=\"body_button_other\" data-remote=\"true\" href=\"/subscription/new?signup_resource_id=1226791\"\u003e\u003ci class='fa-regular fa-eye'\u003e\u003c/i\u003e\n\u003cspan class='button-text'\u003eGet Free Access\u003c/span\u003e\n\u003c/a\u003e\u003ca class=\"btn btn-default btn-xs text-xs trk-show-resource\" title=\"Khan Academy: Calculus: Line Integral Example 2 (Part 2) Instructional video\" href=\"/teachers/khan-academy-calculus-line-integral-example-2-part-2\"\u003e\u003ci class='fa-solid fa-list-ul'\u003e\u003c/i\u003e\n\u003cspan class='button-text'\u003eSee Review\u003c/span\u003e\n\u003c/a\u003e\u003c/div\u003e\n\u003c/div\u003e\n\u003c/div\u003e\n\u003c/div\u003e\n\n\u003c/div\u003e\n\n\n\u003cdiv class='relative search-result-item thumbnail-card no-access' data-id='1173541' data-is-require-teacher-acknowledgment='false' data-item-type='CollectionItemResource' data-type='Resource'\u003e\n\n\u003cdiv class='panel panel-default panel-resource mb-0 border-none'\u003e\n\u003cdiv class='resource-card-loader'\u003e\u003c/div\u003e\n\u003cdiv class='resource-type-banner'\u003e\n\u003cdiv class=\"type-resource type-instructional-video\"\u003e\u003ci class=\"fa-solid fa-circle-play resource-icon\"\u003e\u003c/i\u003e\u003cspan class=\"ml-5 relative z-10\"\u003eInstructional Video\u003c/span\u003e\u003cspan class=\"resource-bg\"\u003e\u003c/span\u003e\u003c/div\u003e\n\u003c/div\u003e\n\u003cdiv class='thumb-img-wrap-width-helper'\u003e\u003c/div\u003e\n\u003cdiv class='thumb-img-wrap'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Sophia: Second Fundamental Theorem of Calculus: Lesson 5 Instructional video\" href=\"/teachers/sophia-second-fundamental-theorem-of-calculus-lesson-5\"\u003e\u003cimg class=\"resource-img img-thumbnail img-responsive lozad\" alt=\"Sophia: Second Fundamental Theorem of Calculus: Lesson 5 Instructional Video\" title=\"Sophia: Second Fundamental Theorem of Calculus: Lesson 5 Instructional Video\" onError=\"handleImageNotLoadedError(this)\" data-default-image=\"https://static.lp.lexp.cloud/images/attachment_defaults/resource/large/FPO-knovation.png\" data-src=\"https://content.lessonplanet.com/knovation/original/141848-4d7a62e3952e9dd8b4bd1cd8bbeb64ff.jpg?1661765522\" width=\"315\" height=\"220\" src=\"data:image/png;base64,R0lGODlhAQABAAD/ACwAAAAAAQABAAACADs\" /\u003e\n\u003c/a\u003e\u003ci class='fa-solid fa-image fa-6x thumb-img-wrap-icon'\u003e\u003c/i\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-info-wrap'\u003e\n\u003cdiv class='resource-info'\u003e\n\u003cdiv class='resource-info-top overflow-hidden text-ellipsis'\u003e\n\u003cspan class='resource-pool-tag'\u003eSophia Learning\u003c/span\u003e\n\u003c/div\u003e\n\u003ch4 class='resource-title' title='Sophia: Second Fundamental Theorem of Calculus: Lesson 5'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Sophia: Second Fundamental Theorem of Calculus: Lesson 5 Instructional video\" href=\"/teachers/sophia-second-fundamental-theorem-of-calculus-lesson-5\"\u003eSophia: Second Fundamental Theorem of Calculus: Lesson 5\n\u003c/a\u003e\u003c/h4\u003e\n\u003cdiv class='resource-meta text-xs text-gray-600 overflow-hidden text-ellipsis'\u003e\n\u003ci class='lp-icon fa-solid fa-user'\u003e\u003c/i\u003e\n\u003cspan class='resource-audience'\u003eFor Students\u003c/span\u003e\n\u003ci class='lp-icon fa-regular fa-graduation-cap'\u003e\u003c/i\u003e\n\u003cspan class='resource-grade'\u003e9th - 10th\u003c/span\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-description-wrap'\u003e\n\u003cdiv class='resource-description'\u003e\nThe process of applying the limits of integration for a definite integral is introduced here. This lesson is 5 of 5 in the series titled \"Second Fundamental Theorem of Calculus.\"\n\u003c/div\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-actions bg-white'\u003e\n\u003ca class=\"btn btn-default btn-xs text-xs free-access-btn upgrade-btn\" title=\"Get Free Access to Sophia: Second Fundamental Theorem of Calculus: Lesson 5 Instructional video\" data-track-click=\"Search result free access button\" data-track-label=\"Search Page\" data-posthog-event=\"Signup: LP Signup Activity\" data-posthog-location=\"body_button_other\" data-remote=\"true\" href=\"/subscription/new?signup_resource_id=1173541\"\u003e\u003ci class='fa-regular fa-eye'\u003e\u003c/i\u003e\n\u003cspan class='button-text'\u003eGet Free Access\u003c/span\u003e\n\u003c/a\u003e\u003ca class=\"btn btn-default btn-xs text-xs trk-show-resource\" title=\"Sophia: Second Fundamental Theorem of Calculus: Lesson 5 Instructional video\" href=\"/teachers/sophia-second-fundamental-theorem-of-calculus-lesson-5\"\u003e\u003ci class='fa-solid fa-list-ul'\u003e\u003c/i\u003e\n\u003cspan class='button-text'\u003eSee Review\u003c/span\u003e\n\u003c/a\u003e\u003c/div\u003e\n\u003c/div\u003e\n\u003c/div\u003e\n\u003c/div\u003e\n\n\u003c/div\u003e\n\n\n\u003cdiv class='relative search-result-item thumbnail-card no-access' data-id='1208328' data-is-require-teacher-acknowledgment='false' data-item-type='CollectionItemResource' data-type='Resource'\u003e\n\n\u003cdiv class='panel panel-default panel-resource mb-0 border-none'\u003e\n\u003cdiv class='resource-card-loader'\u003e\u003c/div\u003e\n\u003cdiv class='resource-type-banner'\u003e\n\u003cdiv class=\"type-resource type-custom\"\u003e\u003ci class=\"fa-solid fa-file resource-icon\"\u003e\u003c/i\u003e\u003cspan class=\"ml-5 relative z-10\"\u003eHandout\u003c/span\u003e\u003cspan class=\"resource-bg\"\u003e\u003c/span\u003e\u003c/div\u003e\n\u003c/div\u003e\n\u003cdiv class='thumb-img-wrap-width-helper'\u003e\u003c/div\u003e\n\u003cdiv class='thumb-img-wrap'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Paul\u0026#39;s Online Notes: Calculus Ii: Applications of Integrals Handout\" href=\"/teachers/paul-s-online-notes-calculus-ii-applications-of-integrals\"\u003e\u003cimg class=\"resource-img img-thumbnail img-responsive lozad\" alt=\"Paul\u0026#39;s Online Notes: Calculus Ii: Applications of Integrals Handout\" title=\"Paul\u0026#39;s Online Notes: Calculus Ii: Applications of Integrals Handout\" onError=\"handleImageNotLoadedError(this)\" data-default-image=\"https://static.lp.lexp.cloud/images/attachment_defaults/resource/large/FPO-knovation.png\" data-src=\"https://content.lessonplanet.com/knovation/original/192076-62ca2212316e94cdf86faf123461054a.jpg?1661515091\" width=\"315\" height=\"220\" src=\"data:image/png;base64,R0lGODlhAQABAAD/ACwAAAAAAQABAAACADs\" /\u003e\n\u003c/a\u003e\u003ci class='fa-solid fa-image fa-6x thumb-img-wrap-icon'\u003e\u003c/i\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-info-wrap'\u003e\n\u003cdiv class='resource-info'\u003e\n\u003cdiv class='resource-info-top overflow-hidden text-ellipsis'\u003e\n\u003cspan class='resource-pool-tag'\u003ePaul Dawkins\u003c/span\u003e\n\u003c/div\u003e\n\u003ch4 class='resource-title' title='Paul\u0026#39;s Online Notes: Calculus Ii: Applications of Integrals'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Paul\u0026#39;s Online Notes: Calculus Ii: Applications of Integrals Handout\" href=\"/teachers/paul-s-online-notes-calculus-ii-applications-of-integrals\"\u003ePaul's Online Notes: Calculus Ii: Applications of Integrals\n\u003c/a\u003e\u003c/h4\u003e\n\u003cdiv class='resource-meta text-xs text-gray-600 overflow-hidden text-ellipsis'\u003e\n\u003ci class='lp-icon fa-solid fa-user'\u003e\u003c/i\u003e\n\u003cspan class='resource-audience'\u003eFor Students\u003c/span\u003e\n\u003ci class='lp-icon fa-regular fa-graduation-cap'\u003e\u003c/i\u003e\n\u003cspan class='resource-grade'\u003e9th - 10th\u003c/span\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-description-wrap'\u003e\n\u003cdiv class='resource-description'\u003e\nThe resource examines applications of integration. Topics investigated are arc length, surface area, center of mass, hydrostatic pressure, and probability density functions. Class notes, definitions, and examples with detailed solutions...\n\u003c/div\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-actions bg-white'\u003e\n\u003ca class=\"btn btn-default btn-xs text-xs free-access-btn upgrade-btn\" title=\"Get Free Access to Paul\u0026#39;s Online Notes: Calculus Ii: Applications of Integrals Handout\" data-track-click=\"Search result free access button\" data-track-label=\"Search Page\" data-posthog-event=\"Signup: LP Signup Activity\" data-posthog-location=\"body_button_other\" data-remote=\"true\" href=\"/subscription/new?signup_resource_id=1208328\"\u003e\u003ci class='fa-regular fa-eye'\u003e\u003c/i\u003e\n\u003cspan class='button-text'\u003eGet Free Access\u003c/span\u003e\n\u003c/a\u003e\u003ca class=\"btn btn-default btn-xs text-xs trk-show-resource\" title=\"Paul\u0026#39;s Online Notes: Calculus Ii: Applications of Integrals Handout\" href=\"/teachers/paul-s-online-notes-calculus-ii-applications-of-integrals\"\u003e\u003ci class='fa-solid fa-list-ul'\u003e\u003c/i\u003e\n\u003cspan class='button-text'\u003eSee Review\u003c/span\u003e\n\u003c/a\u003e\u003c/div\u003e\n\u003c/div\u003e\n\u003c/div\u003e\n\u003c/div\u003e\n\n\u003c/div\u003e\n\n\n\u003cdiv class='relative search-result-item thumbnail-card no-access' data-id='1226758' data-is-require-teacher-acknowledgment='false' data-item-type='CollectionItemResource' data-type='Resource'\u003e\n\n\u003cdiv class='panel panel-default panel-resource mb-0 border-none'\u003e\n\u003cdiv class='resource-card-loader'\u003e\u003c/div\u003e\n\u003cdiv class='resource-type-banner'\u003e\n\u003cdiv class=\"type-resource type-instructional-video\"\u003e\u003ci class=\"fa-solid fa-circle-play resource-icon\"\u003e\u003c/i\u003e\u003cspan class=\"ml-5 relative z-10\"\u003eInstructional Video\u003c/span\u003e\u003cspan class=\"resource-bg\"\u003e\u003c/span\u003e\u003c/div\u003e\n\u003c/div\u003e\n\u003cdiv class='thumb-img-wrap-width-helper'\u003e\u003c/div\u003e\n\u003cdiv class='thumb-img-wrap'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Khan Academy: Calculus: Green\u0026#39;s Theorem Proof Part 1 Instructional video\" href=\"/teachers/khan-academy-calculus-green-s-theorem-proof-part-1\"\u003e\u003cimg class=\"resource-img img-thumbnail img-responsive lozad\" alt=\"Khan Academy: Calculus: Green\u0026#39;s Theorem Proof Part 1 Instructional Video\" title=\"Khan Academy: Calculus: Green\u0026#39;s Theorem Proof Part 1 Instructional Video\" onError=\"handleImageNotLoadedError(this)\" data-default-image=\"https://static.lp.lexp.cloud/images/attachment_defaults/resource/large/FPO-knovation.png\" data-src=\"https://content.lessonplanet.com/knovation/original/216456-30910745d42c7098846ba55e24be5fbd.jpg?1661757824\" width=\"315\" height=\"220\" src=\"data:image/png;base64,R0lGODlhAQABAAD/ACwAAAAAAQABAAACADs\" /\u003e\n\u003c/a\u003e\u003ci class='fa-solid fa-image fa-6x thumb-img-wrap-icon'\u003e\u003c/i\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-info-wrap'\u003e\n\u003cdiv class='resource-info'\u003e\n\u003cdiv class='resource-info-top overflow-hidden text-ellipsis'\u003e\n\u003cspan class='resource-pool-tag'\u003eKhan Academy\u003c/span\u003e\n\u003c/div\u003e\n\u003ch4 class='resource-title' title='Khan Academy: Calculus: Green\u0026#39;s Theorem Proof Part 1'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Khan Academy: Calculus: Green\u0026#39;s Theorem Proof Part 1 Instructional video\" href=\"/teachers/khan-academy-calculus-green-s-theorem-proof-part-1\"\u003eKhan Academy: Calculus: Green's Theorem Proof Part 1\n\u003c/a\u003e\u003c/h4\u003e\n\u003cdiv class='resource-meta text-xs text-gray-600 overflow-hidden text-ellipsis'\u003e\n\u003ci class='lp-icon fa-solid fa-user'\u003e\u003c/i\u003e\n\u003cspan class='resource-audience'\u003eFor Students\u003c/span\u003e\n\u003ci class='lp-icon fa-regular fa-graduation-cap'\u003e\u003c/i\u003e\n\u003cspan class='resource-grade'\u003e9th - 10th\u003c/span\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-description-wrap'\u003e\n\u003cdiv class='resource-description'\u003e\nVideo starting to derive Green's theorem by showing that the closed line integral in a vector field with vectors only in the x-direction is equal to the negative double integral over the region contained within the closed curve of the...\n\u003c/div\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-actions bg-white'\u003e\n\u003ca class=\"btn btn-default btn-xs text-xs free-access-btn upgrade-btn\" title=\"Get Free Access to Khan Academy: Calculus: Green\u0026#39;s Theorem Proof Part 1 Instructional video\" data-track-click=\"Search result free access button\" data-track-label=\"Search Page\" data-posthog-event=\"Signup: LP Signup Activity\" data-posthog-location=\"body_button_other\" data-remote=\"true\" href=\"/subscription/new?signup_resource_id=1226758\"\u003e\u003ci class='fa-regular fa-eye'\u003e\u003c/i\u003e\n\u003cspan class='button-text'\u003eGet Free Access\u003c/span\u003e\n\u003c/a\u003e\u003ca class=\"btn btn-default btn-xs text-xs trk-show-resource\" title=\"Khan Academy: Calculus: Green\u0026#39;s Theorem Proof Part 1 Instructional video\" href=\"/teachers/khan-academy-calculus-green-s-theorem-proof-part-1\"\u003e\u003ci class='fa-solid fa-list-ul'\u003e\u003c/i\u003e\n\u003cspan class='button-text'\u003eSee Review\u003c/span\u003e\n\u003c/a\u003e\u003c/div\u003e\n\u003c/div\u003e\n\u003c/div\u003e\n\u003c/div\u003e\n\n\u003c/div\u003e\n\n\n\u003cdiv class='relative search-result-item thumbnail-card no-access' data-id='1226784' data-is-require-teacher-acknowledgment='false' data-item-type='CollectionItemResource' data-type='Resource'\u003e\n\n\u003cdiv class='panel panel-default panel-resource mb-0 border-none'\u003e\n\u003cdiv class='resource-card-loader'\u003e\u003c/div\u003e\n\u003cdiv class='resource-type-banner'\u003e\n\u003cdiv class=\"type-resource type-instructional-video\"\u003e\u003ci class=\"fa-solid fa-circle-play resource-icon\"\u003e\u003c/i\u003e\u003cspan class=\"ml-5 relative z-10\"\u003eInstructional Video\u003c/span\u003e\u003cspan class=\"resource-bg\"\u003e\u003c/span\u003e\u003c/div\u003e\n\u003c/div\u003e\n\u003cdiv class='thumb-img-wrap-width-helper'\u003e\u003c/div\u003e\n\u003cdiv class='thumb-img-wrap'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Khan Academy: Calculus: Surface Integral Ex2 Pt1: Parameterizing the Surface Instructional video\" href=\"/teachers/khan-academy-calculus-surface-integral-ex2-pt1-parameterizing-the-surface\"\u003e\u003cimg class=\"resource-img img-thumbnail img-responsive lozad\" alt=\"Khan Academy: Calculus: Surface Integral Ex2 Pt1: Parameterizing the Surface Instructional Video\" title=\"Khan Academy: Calculus: Surface Integral Ex2 Pt1: Parameterizing the Surface Instructional Video\" onError=\"handleImageNotLoadedError(this)\" data-default-image=\"https://static.lp.lexp.cloud/images/attachment_defaults/resource/large/FPO-knovation.png\" data-src=\"https://content.lessonplanet.com/knovation/original/216493-a9f9be8eec6314abd3bf1a2e68319493.jpg?1661757873\" width=\"315\" height=\"220\" src=\"data:image/png;base64,R0lGODlhAQABAAD/ACwAAAAAAQABAAACADs\" /\u003e\n\u003c/a\u003e\u003ci class='fa-solid fa-image fa-6x thumb-img-wrap-icon'\u003e\u003c/i\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-info-wrap'\u003e\n\u003cdiv class='resource-info'\u003e\n\u003cdiv class='resource-info-top overflow-hidden text-ellipsis'\u003e\n\u003cspan class='resource-pool-tag'\u003eKhan Academy\u003c/span\u003e\n\u003c/div\u003e\n\u003ch4 class='resource-title' title='Khan Academy: Calculus: Surface Integral Ex2 Pt1: Parameterizing the Surface'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Khan Academy: Calculus: Surface Integral Ex2 Pt1: Parameterizing the Surface Instructional video\" href=\"/teachers/khan-academy-calculus-surface-integral-ex2-pt1-parameterizing-the-surface\"\u003eKhan Academy: Calculus: Surface Integral Ex2 Pt1: Parameterizing the Surface\n\u003c/a\u003e\u003c/h4\u003e\n\u003cdiv class='resource-meta text-xs text-gray-600 overflow-hidden text-ellipsis'\u003e\n\u003ci class='lp-icon fa-solid fa-user'\u003e\u003c/i\u003e\n\u003cspan class='resource-audience'\u003eFor Students\u003c/span\u003e\n\u003ci class='lp-icon fa-regular fa-graduation-cap'\u003e\u003c/i\u003e\n\u003cspan class='resource-grade'\u003e9th - 10th\u003c/span\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-description-wrap'\u003e\n\u003cdiv class='resource-description'\u003e\nFirst part of a two-part video series on calculating the surface integral of a surface that can be described as a function of x and y. Video shows parameterizing the surface. [5:10]\n\u003c/div\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-actions bg-white'\u003e\n\u003ca class=\"btn btn-default btn-xs text-xs free-access-btn upgrade-btn\" title=\"Get Free Access to Khan Academy: Calculus: Surface Integral Ex2 Pt1: Parameterizing the Surface Instructional video\" data-track-click=\"Search result free access button\" data-track-label=\"Search Page\" data-posthog-event=\"Signup: LP Signup Activity\" data-posthog-location=\"body_button_other\" data-remote=\"true\" href=\"/subscription/new?signup_resource_id=1226784\"\u003e\u003ci class='fa-regular fa-eye'\u003e\u003c/i\u003e\n\u003cspan class='button-text'\u003eGet Free Access\u003c/span\u003e\n\u003c/a\u003e\u003ca class=\"btn btn-default btn-xs text-xs trk-show-resource\" title=\"Khan Academy: Calculus: Surface Integral Ex2 Pt1: Parameterizing the Surface Instructional video\" href=\"/teachers/khan-academy-calculus-surface-integral-ex2-pt1-parameterizing-the-surface\"\u003e\u003ci class='fa-solid fa-list-ul'\u003e\u003c/i\u003e\n\u003cspan class='button-text'\u003eSee Review\u003c/span\u003e\n\u003c/a\u003e\u003c/div\u003e\n\u003c/div\u003e\n\u003c/div\u003e\n\u003c/div\u003e\n\n\u003c/div\u003e\n\n\n\u003cdiv class='relative search-result-item thumbnail-card no-access' data-id='1226788' data-is-require-teacher-acknowledgment='false' data-item-type='CollectionItemResource' data-type='Resource'\u003e\n\n\u003cdiv class='panel panel-default panel-resource mb-0 border-none'\u003e\n\u003cdiv class='resource-card-loader'\u003e\u003c/div\u003e\n\u003cdiv class='resource-type-banner'\u003e\n\u003cdiv class=\"type-resource type-instructional-video\"\u003e\u003ci class=\"fa-solid fa-circle-play resource-icon\"\u003e\u003c/i\u003e\u003cspan class=\"ml-5 relative z-10\"\u003eInstructional Video\u003c/span\u003e\u003cspan class=\"resource-bg\"\u003e\u003c/span\u003e\u003c/div\u003e\n\u003c/div\u003e\n\u003cdiv class='thumb-img-wrap-width-helper'\u003e\u003c/div\u003e\n\u003cdiv class='thumb-img-wrap'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Khan Academy: Calculus: Green\u0026#39;s Theorem Proof (Part 2) Instructional video\" href=\"/teachers/khan-academy-calculus-green-s-theorem-proof-part-2\"\u003e\u003cimg class=\"resource-img img-thumbnail img-responsive lozad\" alt=\"Khan Academy: Calculus: Green\u0026#39;s Theorem Proof (Part 2) Instructional Video\" title=\"Khan Academy: Calculus: Green\u0026#39;s Theorem Proof (Part 2) Instructional Video\" onError=\"handleImageNotLoadedError(this)\" data-default-image=\"https://static.lp.lexp.cloud/images/attachment_defaults/resource/large/FPO-knovation.png\" data-src=\"https://content.lessonplanet.com/knovation/original/216497-e3aba3c96f6d5b1e92129fbb252ab2f2.jpg?1661757825\" width=\"315\" height=\"220\" src=\"data:image/png;base64,R0lGODlhAQABAAD/ACwAAAAAAQABAAACADs\" /\u003e\n\u003c/a\u003e\u003ci class='fa-solid fa-image fa-6x thumb-img-wrap-icon'\u003e\u003c/i\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-info-wrap'\u003e\n\u003cdiv class='resource-info'\u003e\n\u003cdiv class='resource-info-top overflow-hidden text-ellipsis'\u003e\n\u003cspan class='resource-pool-tag'\u003eKhan Academy\u003c/span\u003e\n\u003c/div\u003e\n\u003ch4 class='resource-title' title='Khan Academy: Calculus: Green\u0026#39;s Theorem Proof (Part 2)'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Khan Academy: Calculus: Green\u0026#39;s Theorem Proof (Part 2) Instructional video\" href=\"/teachers/khan-academy-calculus-green-s-theorem-proof-part-2\"\u003eKhan Academy: Calculus: Green's Theorem Proof (Part 2)\n\u003c/a\u003e\u003c/h4\u003e\n\u003cdiv class='resource-meta text-xs text-gray-600 overflow-hidden text-ellipsis'\u003e\n\u003ci class='lp-icon fa-solid fa-user'\u003e\u003c/i\u003e\n\u003cspan class='resource-audience'\u003eFor Students\u003c/span\u003e\n\u003ci class='lp-icon fa-regular fa-graduation-cap'\u003e\u003c/i\u003e\n\u003cspan class='resource-grade'\u003e9th - 10th\u003c/span\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-description-wrap'\u003e\n\u003cdiv class='resource-description'\u003e\nVideo finishing the derivation of Green's theorem by showing that the closed line integral in a vector field with vectors only in the y-direction is equal to the double integral over the region contained within the closed curve of the...\n\u003c/div\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-actions bg-white'\u003e\n\u003ca class=\"btn btn-default btn-xs text-xs free-access-btn upgrade-btn\" title=\"Get Free Access to Khan Academy: Calculus: Green\u0026#39;s Theorem Proof (Part 2) Instructional video\" data-track-click=\"Search result free access button\" data-track-label=\"Search Page\" data-posthog-event=\"Signup: LP Signup Activity\" data-posthog-location=\"body_button_other\" data-remote=\"true\" href=\"/subscription/new?signup_resource_id=1226788\"\u003e\u003ci class='fa-regular fa-eye'\u003e\u003c/i\u003e\n\u003cspan class='button-text'\u003eGet Free Access\u003c/span\u003e\n\u003c/a\u003e\u003ca class=\"btn btn-default btn-xs text-xs trk-show-resource\" title=\"Khan Academy: Calculus: Green\u0026#39;s Theorem Proof (Part 2) Instructional video\" href=\"/teachers/khan-academy-calculus-green-s-theorem-proof-part-2\"\u003e\u003ci class='fa-solid fa-list-ul'\u003e\u003c/i\u003e\n\u003cspan class='button-text'\u003eSee Review\u003c/span\u003e\n\u003c/a\u003e\u003c/div\u003e\n\u003c/div\u003e\n\u003c/div\u003e\n\u003c/div\u003e\n\n\u003c/div\u003e\n\n\n\u003cdiv class='relative search-result-item thumbnail-card no-access' data-id='1173540' data-is-require-teacher-acknowledgment='false' data-item-type='CollectionItemResource' data-type='Resource'\u003e\n\n\u003cdiv class='panel panel-default panel-resource mb-0 border-none'\u003e\n\u003cdiv class='resource-card-loader'\u003e\u003c/div\u003e\n\u003cdiv class='resource-type-banner'\u003e\n\u003cdiv class=\"type-resource type-instructional-video\"\u003e\u003ci class=\"fa-solid fa-circle-play resource-icon\"\u003e\u003c/i\u003e\u003cspan class=\"ml-5 relative z-10\"\u003eInstructional Video\u003c/span\u003e\u003cspan class=\"resource-bg\"\u003e\u003c/span\u003e\u003c/div\u003e\n\u003c/div\u003e\n\u003cdiv class='thumb-img-wrap-width-helper'\u003e\u003c/div\u003e\n\u003cdiv class='thumb-img-wrap'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Sophia: Second Fundamental Theorem of Calculus: Lesson 2 Instructional video\" href=\"/teachers/sophia-second-fundamental-theorem-of-calculus-lesson-2\"\u003e\u003cimg class=\"resource-img img-thumbnail img-responsive lozad\" alt=\"Sophia: Second Fundamental Theorem of Calculus: Lesson 2 Instructional Video\" title=\"Sophia: Second Fundamental Theorem of Calculus: Lesson 2 Instructional Video\" onError=\"handleImageNotLoadedError(this)\" data-default-image=\"https://static.lp.lexp.cloud/images/attachment_defaults/resource/large/FPO-knovation.png\" data-src=\"https://content.lessonplanet.com/knovation/original/141847-3433d093cf97b798cc30f704c4637381.jpg?1661765520\" width=\"315\" height=\"220\" src=\"data:image/png;base64,R0lGODlhAQABAAD/ACwAAAAAAQABAAACADs\" /\u003e\n\u003c/a\u003e\u003ci class='fa-solid fa-image fa-6x thumb-img-wrap-icon'\u003e\u003c/i\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-info-wrap'\u003e\n\u003cdiv class='resource-info'\u003e\n\u003cdiv class='resource-info-top overflow-hidden text-ellipsis'\u003e\n\u003cspan class='resource-pool-tag'\u003eSophia Learning\u003c/span\u003e\n\u003c/div\u003e\n\u003ch4 class='resource-title' title='Sophia: Second Fundamental Theorem of Calculus: Lesson 2'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Sophia: Second Fundamental Theorem of Calculus: Lesson 2 Instructional video\" href=\"/teachers/sophia-second-fundamental-theorem-of-calculus-lesson-2\"\u003eSophia: Second Fundamental Theorem of Calculus: Lesson 2\n\u003c/a\u003e\u003c/h4\u003e\n\u003cdiv class='resource-meta text-xs text-gray-600 overflow-hidden text-ellipsis'\u003e\n\u003ci class='lp-icon fa-solid fa-user'\u003e\u003c/i\u003e\n\u003cspan class='resource-audience'\u003eFor Students\u003c/span\u003e\n\u003ci class='lp-icon fa-regular fa-graduation-cap'\u003e\u003c/i\u003e\n\u003cspan class='resource-grade'\u003e9th - 10th\u003c/span\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-description-wrap'\u003e\n\u003cdiv class='resource-description'\u003e\nThe process of applying the limits of integration for a definite integral is introduced here. This lesson is 2 of 5 in the series titled \"Second Fundamental Theorem of Calculus.\"\n\u003c/div\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-actions bg-white'\u003e\n\u003ca class=\"btn btn-default btn-xs text-xs free-access-btn upgrade-btn\" title=\"Get Free Access to Sophia: Second Fundamental Theorem of Calculus: Lesson 2 Instructional video\" data-track-click=\"Search result free access button\" data-track-label=\"Search Page\" data-posthog-event=\"Signup: LP Signup Activity\" data-posthog-location=\"body_button_other\" data-remote=\"true\" href=\"/subscription/new?signup_resource_id=1173540\"\u003e\u003ci class='fa-regular fa-eye'\u003e\u003c/i\u003e\n\u003cspan class='button-text'\u003eGet Free Access\u003c/span\u003e\n\u003c/a\u003e\u003ca class=\"btn btn-default btn-xs text-xs trk-show-resource\" title=\"Sophia: Second Fundamental Theorem of Calculus: Lesson 2 Instructional video\" href=\"/teachers/sophia-second-fundamental-theorem-of-calculus-lesson-2\"\u003e\u003ci class='fa-solid fa-list-ul'\u003e\u003c/i\u003e\n\u003cspan class='button-text'\u003eSee Review\u003c/span\u003e\n\u003c/a\u003e\u003c/div\u003e\n\u003c/div\u003e\n\u003c/div\u003e\n\u003c/div\u003e\n\n\u003c/div\u003e\n\n\n\u003cdiv class='relative search-result-item thumbnail-card no-access' data-id='1104898' data-is-require-teacher-acknowledgment='false' data-item-type='CollectionItemResource' data-type='Resource'\u003e\n\n\u003cdiv class='panel panel-default panel-resource mb-0 border-none'\u003e\n\u003cdiv class='resource-card-loader'\u003e\u003c/div\u003e\n\u003cdiv class='resource-type-banner'\u003e\n\u003cdiv class=\"type-resource type-custom\"\u003e\u003ci class=\"fa-solid fa-arrows-rotate resource-icon\"\u003e\u003c/i\u003e\u003cspan class=\"ml-5 relative z-10\"\u003eActivity\u003c/span\u003e\u003cspan class=\"resource-bg\"\u003e\u003c/span\u003e\u003c/div\u003e\n\u003c/div\u003e\n\u003cdiv class='thumb-img-wrap-width-helper'\u003e\u003c/div\u003e\n\u003cdiv class='thumb-img-wrap'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Texas Instruments: Average Value Activity\" href=\"/teachers/texas-instruments-average-value\"\u003e\u003cimg class=\"resource-img img-thumbnail img-responsive lozad\" alt=\"Texas Instruments: Average Value Activity\" title=\"Texas Instruments: Average Value Activity\" onError=\"handleImageNotLoadedError(this)\" data-default-image=\"https://static.lp.lexp.cloud/images/attachment_defaults/resource/large/FPO-knovation.png\" data-src=\"https://content.lessonplanet.com/knovation/original/37802-ae3f4699a3e21348e52f6bc3ae283621.jpg?1661361500\" width=\"315\" height=\"220\" src=\"data:image/png;base64,R0lGODlhAQABAAD/ACwAAAAAAQABAAACADs\" /\u003e\n\u003c/a\u003e\u003ci class='fa-solid fa-image fa-6x thumb-img-wrap-icon'\u003e\u003c/i\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-info-wrap'\u003e\n\u003cdiv class='resource-info'\u003e\n\u003cdiv class='resource-info-top overflow-hidden text-ellipsis'\u003e\n\u003cspan class='resource-pool-tag'\u003eTexas Instruments\u003c/span\u003e\n\u003c/div\u003e\n\u003ch4 class='resource-title' title='Texas Instruments: Average Value'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Texas Instruments: Average Value Activity\" href=\"/teachers/texas-instruments-average-value\"\u003eTexas Instruments: Average Value\n\u003c/a\u003e\u003c/h4\u003e\n\u003cdiv class='resource-meta text-xs text-gray-600 overflow-hidden text-ellipsis'\u003e\n\u003ci class='lp-icon fa-solid fa-user'\u003e\u003c/i\u003e\n\u003cspan class='resource-audience'\u003eFor Teachers\u003c/span\u003e\n\u003ci class='lp-icon fa-regular fa-graduation-cap'\u003e\u003c/i\u003e\n\u003cspan class='resource-grade'\u003e9th - 10th\u003c/span\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-description-wrap'\u003e\n\u003cdiv class='resource-description'\u003e\nThe definite integral is used to find the average value of a function. It will show the steps of the 2nd Fundamental Theorem and also the alternate approach of having the capabilities of the graphing calculator work the entire problem at...\n\u003c/div\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-actions bg-white'\u003e\n\u003ca class=\"btn btn-default btn-xs text-xs free-access-btn upgrade-btn\" title=\"Get Free Access to Texas Instruments: Average Value Activity\" data-track-click=\"Search result free access button\" data-track-label=\"Search Page\" data-posthog-event=\"Signup: LP Signup Activity\" data-posthog-location=\"body_button_other\" data-remote=\"true\" href=\"/subscription/new?signup_resource_id=1104898\"\u003e\u003ci class='fa-regular fa-eye'\u003e\u003c/i\u003e\n\u003cspan class='button-text'\u003eGet Free Access\u003c/span\u003e\n\u003c/a\u003e\u003ca class=\"btn btn-default btn-xs text-xs trk-show-resource\" title=\"Texas Instruments: Average Value Activity\" href=\"/teachers/texas-instruments-average-value\"\u003e\u003ci class='fa-solid fa-list-ul'\u003e\u003c/i\u003e\n\u003cspan class='button-text'\u003eSee Review\u003c/span\u003e\n\u003c/a\u003e\u003c/div\u003e\n\u003c/div\u003e\n\u003c/div\u003e\n\u003c/div\u003e\n\n\u003c/div\u003e\n\n\n","pagination":"\u003cdiv class='text-center' id='search-pagination'\u003e\n\n\u003c/div\u003e\n"}