{"results":"\u003cdiv class='relative search-result-item thumbnail-card' data-id='495' 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\u003e5\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=\"Graphing Rational Functions Topic\" href=\"/collections/graphing-rational-functions\"\u003e\u003cimg title=\"Graphing Rational Functions\" alt=\"Graphing Rational Functions\" 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=\"//content.lessonplanet.com/s3_uploads/original/72b8c168624fdefd6c93482aa488c010.jpg?1492201387\" 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='Graphing Rational Functions'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Graphing Rational Functions Topic\" href=\"/collections/graphing-rational-functions\"\u003eGraphing Rational Functions\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\nWith the many steps involved in graphing rational functions, your learners may need a little extra help before they get the hang of it. Here are some supplement notes and practice problems to support your class as they investigate this...\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 Graphing Rational Functions 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=495\"\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' data-id='5429' 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-unit 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-square 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\u003e103\u003c/span\u003e\n\u003cspan\u003eItems in Unit\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 Unit 1: Limits and Continuity Unit\" href=\"/collections/ap-calculus-ab-unit-1-limits-and-continuity\"\u003e\u003cimg title=\"AP Calculus AB Unit 1: Limits and Continuity\" alt=\"AP Calculus AB Unit 1: Limits and Continuity\" 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=\"//lessonplanet.com/content/resources/thumbnails/445198/large/bwluav9tywdpy2symdiwmtixnc0xmdgzmy0xdhrhajlolmpwzw.jpg?1607982132\" 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 Unit 1: Limits and Continuity'\u003e\n\u003ca class=\"trk-show-resource\" title=\"AP Calculus AB Unit 1: Limits and Continuity Unit\" href=\"/collections/ap-calculus-ab-unit-1-limits-and-continuity\"\u003eAP Calculus AB Unit 1: Limits and Continuity\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\nFlip your classroom and teach AP Calculus remotely! Unit 1 of the course focuses on limits and continuity. Informative videos introduce each lesson's topic, and the resource packets include worksheets, practice solutions, and two...\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 Unit 1: Limits and Continuity Unit\" 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=5429\"\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' data-id='444' 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\u003e12\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=\"Rewrite Rational Expressions: Common Core High School Algebra Topic\" href=\"/collections/rewrite-rational-expressions-common-core-high-school-algebra\"\u003e\u003cimg title=\"Rewrite Rational Expressions: Common Core High School Algebra\" alt=\"Rewrite Rational Expressions: Common Core High School Algebra\" 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=\"//lessonplanet.com/content/resources/thumbnails/332941/large/u2nyzwvux1nob3rfmjaxos0wos0xm19hdf85ljeyljqxx0fnlnbuzw.png?1568391174\" 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='Rewrite Rational Expressions: Common Core High School Algebra'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Rewrite Rational Expressions: Common Core High School Algebra Topic\" href=\"/collections/rewrite-rational-expressions-common-core-high-school-algebra\"\u003eRewrite Rational Expressions: Common Core High School Algebra\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\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\nStudents may dread the fraction, but don't let them dread the rational function. Here are some lessons, videos, and worksheets to help learners practice and comprehend the idea of rational functions, and see that they already know about...\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 Rewrite Rational Expressions: Common Core High School Algebra 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=444\"\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' data-id='6021' 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-assessment-set 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-pencil 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 Assessment Set\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=\"Balanced Assessment: Advanced High School Math Packet Assessment set\" href=\"/collections/balanced-assessment-advanced-high-school-math-packet\"\u003e\u003cimg title=\"Balanced Assessment: Advanced High School Math Packet\" alt=\"Balanced Assessment: Advanced High School Math Packet\" 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=\"//lessonplanet.com/content/resources/thumbnails/3407/large/u2nyzwvux1nob3rfmjaxoc0wny0wm19hdf8zljiwljuwx1bnlnbuzw.png?1530656543\" 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='Balanced Assessment: Advanced High School Math Packet'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Balanced Assessment: Advanced High School Math Packet Assessment set\" href=\"/collections/balanced-assessment-advanced-high-school-math-packet\"\u003eBalanced Assessment: Advanced High School Math Packet\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 - 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\nNineteen resources make up the Balanced Assessment: Advanced High School Math Packet designed to test learners' knowledge in Algebra II, Geometry, and Pre-Calculus classes. To demonstrate their understanding of concepts related to these...\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 Balanced Assessment: Advanced High School Math Packet Assessment set\" 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_collections_tab\" data-remote=\"true\" href=\"/subscription/new?signup_resource_id=6021\"\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' 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=\"//lessonplanet.com/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='984086' 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=\"ml10 z-10 video-duration\"\u003e8:20\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=\"Another Rational Function Graph Example, Algebra II Instructional video\" href=\"/teachers/another-rational-function-graph-example-algebra-ii\"\u003e\u003cimg class=\"resource-img img-thumbnail img-responsive lozad\" alt=\"Another Rational Function Graph Example, Algebra II Instructional Video\" title=\"Another Rational Function Graph Example, Algebra II Instructional Video\" onError=\"handleImageNotLoadedError(this)\" data-default-image=\"https://static.lp.lexp.cloud/images/attachment_defaults/resource/large/missing.png\" data-src=\"//lessonplanet.com/content/resources/thumbnails/306873/large/u2nyzwvuc2hvdf8ymdi1lta4lte5x2f0xzeylja1ljmx4ocvue0ucg5n.png?1755630341\" 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='Another Rational Function Graph Example, Algebra II'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Another Rational Function Graph Example, Algebra II Instructional video\" href=\"/teachers/another-rational-function-graph-example-algebra-ii\"\u003eAnother Rational Function Graph Example, Algebra II\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'\u003e8th - 11th\u003c/span\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-description-wrap'\u003e\n\u003cdiv class='resource-description'\u003e\nExtending his asymptotes lesson from the previous video, Sal shows viewers another example of graphing rational functions. This video is shorter than the previous one and could be shown in a single class session.\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 Another Rational Function Graph Example, Algebra II 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=984086\"\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=\"Another Rational Function Graph Example, Algebra II Instructional video\" href=\"/teachers/another-rational-function-graph-example-algebra-ii\"\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='840436' 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\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'\u003e1\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\n1\n\u003c/span\u003e\n\u003cspan class='hidden laptop-l:inline-block'\u003e\nIn 1 Collection\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=\"Rational Functions Worksheet\" href=\"/teachers/rational-functions-higher-ed\"\u003e\u003cimg class=\"resource-img img-thumbnail img-responsive lozad\" alt=\"Rational Functions Worksheet\" title=\"Rational Functions Worksheet\" onError=\"handleImageNotLoadedError(this)\" data-default-image=\"https://static.lp.lexp.cloud/images/attachment_defaults/resource/large/FPO-pdf.png\" data-src=\"//lessonplanet.com/content/resources/thumbnails/64817/large/bwluav9tywdpy2symde3mdmymy0zmzq2ltfzzwqzcgsuanbn.jpg?1490275959\" 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='Rational Functions'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Rational Functions Worksheet\" href=\"/teachers/rational-functions-higher-ed\"\u003eRational Functions\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'\u003eHigher Ed\u003c/span\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-description-wrap'\u003e\n\u003cdiv class='resource-description'\u003e\nIn this college level Pre-Calculus worksheet students evaluate rational functions, identify the domain, vertical asymptotes, and x- and y-intercepts.\u0026nbsp; The three page worksheet contains forty problems.\u0026nbsp; Answers are provided.\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 Rational Functions 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_resources_tab\" data-remote=\"true\" href=\"/subscription/new?signup_resource_id=840436\"\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=\"Rational Functions Worksheet\" href=\"/teachers/rational-functions-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='1008413' 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=\"ml10 z-10 video-duration\"\u003e3:23\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=\"What is a Rational Function? Instructional video\" href=\"/teachers/what-is-a-rational-function\"\u003e\u003cimg class=\"resource-img img-thumbnail img-responsive lozad\" alt=\"What is a Rational Function? Instructional Video\" title=\"What is a Rational Function? Instructional Video\" onError=\"handleImageNotLoadedError(this)\" data-default-image=\"https://static.lp.lexp.cloud/images/attachment_defaults/resource/large/missing.png\" data-src=\"//lessonplanet.com/content/resources/thumbnails/87360/large/bwluav9tywdpy2symde3mdmymy0xmzy5ms1sn2jjzjyuanbn.jpg?1490325511\" 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='What is a Rational Function?'\u003e\n\u003ca class=\"trk-show-resource\" title=\"What is a Rational Function? Instructional video\" href=\"/teachers/what-is-a-rational-function\"\u003eWhat is a Rational Function?\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'\u003e6th - 12th\u003c/span\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-description-wrap'\u003e\n\u003cdiv class='resource-description'\u003e\nA rational function can be written as a ratio of two polynomials. There are a couple of rules concerning the denominator so watch this video and find out what they are.\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 What is a Rational Function? 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=1008413\"\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=\"What is a Rational Function? Instructional video\" href=\"/teachers/what-is-a-rational-function\"\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='701937' 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=\"Graph, Identify Asymptotes, Find Domain and Range, for Eleven Simple Rational Functions Worksheet\" href=\"/teachers/graph-identify-asymptotes-find-domain-and-range-for-eleven-simple-rational-functions\"\u003e\u003cimg class=\"resource-img img-thumbnail img-responsive lozad\" alt=\"Graph, Identify Asymptotes, Find Domain and Range, for Eleven Simple Rational Functions Worksheet\" title=\"Graph, Identify Asymptotes, Find Domain and Range, for Eleven Simple Rational Functions Worksheet\" onError=\"handleImageNotLoadedError(this)\" data-default-image=\"https://static.lp.lexp.cloud/images/attachment_defaults/resource/large/FPO-pdf.png\" data-src=\"//lessonplanet.com/content/resources/thumbnails/208560/large/cgrmlwnvbnzlcnqymdezmdmzmc0xodc4ny01nhp1zzuuanbn.jpg?1414300794\" 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='Graph, Identify Asymptotes, Find Domain and Range, for Eleven Simple Rational Functions'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Graph, Identify Asymptotes, Find Domain and Range, for Eleven Simple Rational Functions Worksheet\" href=\"/teachers/graph-identify-asymptotes-find-domain-and-range-for-eleven-simple-rational-functions\"\u003eGraph, Identify Asymptotes, Find Domain and Range, for Eleven Simple Rational Functions\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\nUsing this learning exercise, pupils graph 11 simple rational functions. They also find asymptotes, domain, and range for each function. The solutions are provided.\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 Graph, Identify Asymptotes, Find Domain and Range, for Eleven Simple Rational Functions 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_resources_tab\" data-remote=\"true\" href=\"/subscription/new?signup_resource_id=701937\"\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=\"Graph, Identify Asymptotes, Find Domain and Range, for Eleven Simple Rational Functions Worksheet\" href=\"/teachers/graph-identify-asymptotes-find-domain-and-range-for-eleven-simple-rational-functions\"\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='1050623' 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=\"Graphs of Rational Functions Worksheet\" href=\"/teachers/graphs-of-rational-functions-9th-12th\"\u003e\u003cimg class=\"resource-img img-thumbnail img-responsive lozad\" alt=\"Graphs of Rational Functions Worksheet\" title=\"Graphs of Rational Functions Worksheet\" onError=\"handleImageNotLoadedError(this)\" data-default-image=\"https://static.lp.lexp.cloud/images/attachment_defaults/resource/large/FPO-pdf.png\" data-src=\"//lessonplanet.com/content/resources/thumbnails/35357/large/bwluav9tywdpy2symde3mdmymi0zmtazns0xexp2zgjqlmpwzw.jpg?1490189259\" 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'\u003eMt. San Antonio Collage\u003c/span\u003e\n\u003c/div\u003e\n\u003ch4 class='resource-title' title='Graphs of Rational Functions'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Graphs of Rational Functions Worksheet\" href=\"/teachers/graphs-of-rational-functions-9th-12th\"\u003eGraphs of Rational Functions\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 - 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\nSometimes graphing rational functions can feel a little \"irrational.\" Starting with the basics, learners work their way through the pieces of these graphs and finish off with an application question.\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 Graphs of Rational Functions 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=1050623\"\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=\"Graphs of Rational Functions Worksheet\" href=\"/teachers/graphs-of-rational-functions-9th-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='871921' 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=\"Graphs of Rational Functions Lesson plan\" href=\"/teachers/graphs-of-rational-functions\"\u003e\u003cimg class=\"resource-img img-thumbnail img-responsive lozad\" alt=\"Graphs of Rational Functions Lesson Plan\" title=\"Graphs of Rational Functions Lesson Plan\" onError=\"handleImageNotLoadedError(this)\" data-default-image=\"https://static.lp.lexp.cloud/images/attachment_defaults/resource/large/missing.png\" data-src=\"//lessonplanet.com/content/resources/thumbnails/35353/large/bwluav9tywdpy2symde3mdmymi04odizlw03djyxdy5qcgc.jpg?1490189255\" 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='Graphs of Rational Functions'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Graphs of Rational Functions Lesson plan\" href=\"/teachers/graphs-of-rational-functions\"\u003eGraphs of Rational Functions\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\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\nTake your kids on a tour of graphing rational functions. Using this TI lesson, high schoolers identify the end behavior of their functions. They find the domain and range, describe end behavior, and look at asymptotes and restrictions 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 Graphs of Rational Functions 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=871921\"\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=\"Graphs of Rational Functions Lesson plan\" href=\"/teachers/graphs-of-rational-functions\"\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='1016472' 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=\"ml10 z-10 video-duration\"\u003e2:45\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=\"What is a Rational Function? Instructional video\" href=\"/teachers/what-is-a-rational-function-8th-11th\"\u003e\u003cimg class=\"resource-img img-thumbnail img-responsive lozad\" alt=\"What is a Rational Function? Instructional Video\" title=\"What is a Rational Function? Instructional Video\" onError=\"handleImageNotLoadedError(this)\" data-default-image=\"https://static.lp.lexp.cloud/images/attachment_defaults/resource/large/missing.png\" data-src=\"//lessonplanet.com/content/resources/thumbnails/87368/large/bwluav9tywdpy2symde3mdmymy00mzi1lwqzagjrni5qcgc.jpg?1490325518\" 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='What is a Rational Function?'\u003e\n\u003ca class=\"trk-show-resource\" title=\"What is a Rational Function? Instructional video\" href=\"/teachers/what-is-a-rational-function-8th-11th\"\u003eWhat is a Rational Function?\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'\u003e8th - 11th\u003c/span\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-description-wrap'\u003e\n\u003cdiv class='resource-description'\u003e\nA rational function can be written as a ratio of two polynomials. There are a couple of rules concerning the denominator so watch this video and find out what they are.\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 What is a Rational Function? 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=1016472\"\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=\"What is a Rational Function? Instructional video\" href=\"/teachers/what-is-a-rational-function-8th-11th\"\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='1074476' 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=\"Rational Functions Lesson plan\" href=\"/teachers/rational-functions-math-11th-12th\"\u003e\u003cimg class=\"resource-img img-thumbnail img-responsive lozad\" alt=\"Rational Functions Lesson Plan\" title=\"Rational Functions Lesson Plan\" onError=\"handleImageNotLoadedError(this)\" data-default-image=\"https://static.lp.lexp.cloud/images/attachment_defaults/resource/large/FPO-pdf.png\" data-src=\"//lessonplanet.com/content/resources/thumbnails/434665/large/bwluav9tywdpy2symdiwmdkwms04nti2lwrvejixzs5qcgc.jpg?1598979268\" 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'\u003eEngageNY\u003c/span\u003e\n\u003c/div\u003e\n\u003ch4 class='resource-title' title='Rational Functions'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Rational Functions Lesson plan\" href=\"/teachers/rational-functions-math-11th-12th\"\u003eRational Functions\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 - 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\nMake a connection between rational expressions and rational functions. Pupils review simplifying and performing operations on rational expressions and recall what it means for two rational expressions to be equivalent based on their...\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 Rational Functions 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=1074476\"\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=\"Rational Functions Lesson plan\" href=\"/teachers/rational-functions-math-11th-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='1061807' 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-interactive\"\u003e\u003ci class=\"fa-solid fa-hand resource-icon\"\u003e\u003c/i\u003e\u003cspan class=\"ml-5 relative z-10\"\u003eInteractive\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=\"Analyzing the Graphs of Functions: Analyzing a Rational Function Interactive\" href=\"/teachers/analyzing-the-graphs-of-functions-analyzing-a-rational-function\"\u003e\u003cimg class=\"resource-img img-thumbnail img-responsive lozad\" alt=\"Analyzing the Graphs of Functions: Analyzing a Rational Function Interactive\" title=\"Analyzing the Graphs of Functions: Analyzing a Rational Function Interactive\" onError=\"handleImageNotLoadedError(this)\" data-default-image=\"https://static.lp.lexp.cloud/images/attachment_defaults/resource/large/missing.png\" data-src=\"//lessonplanet.com/content/resources/thumbnails/340686/large/u2nyzwvux1nob3rfmjaxny0xms0wof9hdf84ljaxlje1x0fnlnbuzw.png?1510156890\" 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'\u003eCK-12 Foundation\u003c/span\u003e\n\u003c/div\u003e\n\u003ch4 class='resource-title' title='Analyzing the Graphs of Functions: Analyzing a Rational Function'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Analyzing the Graphs of Functions: Analyzing a Rational Function Interactive\" href=\"/teachers/analyzing-the-graphs-of-functions-analyzing-a-rational-function\"\u003eAnalyzing the Graphs of Functions: Analyzing a Rational Function\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\nShift the function and transform the key features of the graph. By translating the graph of the rational function, class members find out how the key features alter. Pupils determine the domain, range, asymptotes, and intervals 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 Analyzing the Graphs of Functions: Analyzing a Rational Function Interactive\" 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=1061807\"\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=\"Analyzing the Graphs of Functions: Analyzing a Rational Function Interactive\" href=\"/teachers/analyzing-the-graphs-of-functions-analyzing-a-rational-function\"\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='1064113' 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=\"Driving Rationally: Introduction To Rational Functions And Asymptotes Lesson plan\" href=\"/teachers/driving-rationally-introduction-to-rational-functions-and-asymptotes\"\u003e\u003cimg class=\"resource-img img-thumbnail img-responsive lozad\" alt=\"Driving Rationally: Introduction To Rational Functions And Asymptotes Lesson Plan\" title=\"Driving Rationally: Introduction To Rational Functions And Asymptotes Lesson Plan\" onError=\"handleImageNotLoadedError(this)\" data-default-image=\"https://static.lp.lexp.cloud/images/attachment_defaults/resource/large/FPO-pdf.png\" data-src=\"//lessonplanet.com/content/resources/thumbnails/343324/large/bwluav9tywdpy2symde4mdmzms03mtuzlte3atbkcmiuanbn.jpg?1522520506\" 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'\u003eK20 LEARN\u003c/span\u003e\n\u003c/div\u003e\n\u003ch4 class='resource-title' title='Driving Rationally: Introduction To Rational Functions And Asymptotes'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Driving Rationally: Introduction To Rational Functions And Asymptotes Lesson plan\" href=\"/teachers/driving-rationally-introduction-to-rational-functions-and-asymptotes\"\u003eDriving Rationally: Introduction To Rational Functions And Asymptotes\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\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\nCalculating average speeds is not as simple as finding an average. The lesson introduces class members to rational functions by presenting a problem about finding an average speed for the rest of a trip. Pupils develop an equation to...\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 Driving Rationally: Introduction To Rational Functions And Asymptotes 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=1064113\"\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=\"Driving Rationally: Introduction To Rational Functions And Asymptotes Lesson plan\" href=\"/teachers/driving-rationally-introduction-to-rational-functions-and-asymptotes\"\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='1074477' 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=\"Graphing Rational Functions Lesson plan\" href=\"/teachers/graphing-rational-functions-11th-12th\"\u003e\u003cimg class=\"resource-img img-thumbnail img-responsive lozad\" alt=\"Graphing Rational Functions Lesson Plan\" title=\"Graphing Rational Functions Lesson Plan\" onError=\"handleImageNotLoadedError(this)\" data-default-image=\"https://static.lp.lexp.cloud/images/attachment_defaults/resource/large/FPO-pdf.png\" data-src=\"//lessonplanet.com/content/resources/thumbnails/434666/large/bwluav9tywdpy2symdiwmdkwms0xmdcxny05mdv6egcuanbn.jpg?1598979361\" 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'\u003eEngageNY\u003c/span\u003e\n\u003c/div\u003e\n\u003ch4 class='resource-title' title='Graphing Rational Functions'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Graphing Rational Functions Lesson plan\" href=\"/teachers/graphing-rational-functions-11th-12th\"\u003eGraphing Rational Functions\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 - 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\nPut everything together in a picture. Scholars take what they learned in the previous three lessons in the 15th segment of a 23-part unit to graph rational functions. They find the end behavior, the horizontal and vertical asymptotes if...\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 Graphing Rational Functions 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=1074477\"\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=\"Graphing Rational Functions Lesson plan\" href=\"/teachers/graphing-rational-functions-11th-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='1051986' 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=\"ml10 z-10 video-duration\"\u003e1:28\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=\"Introduction to Rational Functions - Concept Instructional video\" href=\"/teachers/introduction-to-rational-functions-concept\"\u003e\u003cimg class=\"resource-img img-thumbnail img-responsive lozad\" alt=\"Introduction to Rational Functions - Concept Instructional Video\" title=\"Introduction to Rational Functions - Concept Instructional Video\" onError=\"handleImageNotLoadedError(this)\" data-default-image=\"https://static.lp.lexp.cloud/images/attachment_defaults/resource/large/missing.png\" data-src=\"//lessonplanet.com/content/resources/thumbnails/332187/large/bwluav9tywdpy2symde2mtawny01njkyltf1amjxn24uanbn.jpg?1475865744\" 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'\u003eBrightstorm\u003c/span\u003e\n\u003c/div\u003e\n\u003ch4 class='resource-title' title='Introduction to Rational Functions - Concept'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Introduction to Rational Functions - Concept Instructional video\" href=\"/teachers/introduction-to-rational-functions-concept\"\u003eIntroduction to Rational Functions - Concept\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'\u003e8th - 10th\u003c/span\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-description-wrap'\u003e\n\u003cdiv class='resource-description'\u003e\nLet's be rational about it. An instructive\u0026nbsp;resource provides the definition of rational expressions and rational functions. Examples provide an explanation on how to determine excluded values from the domain. The resource continues...\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 Introduction to Rational Functions - Concept 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=1051986\"\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=\"Introduction to Rational Functions - Concept Instructional video\" href=\"/teachers/introduction-to-rational-functions-concept\"\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='313880' 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=\"Building Boxes- Polynimial And Rational Functions Lesson plan\" href=\"/teachers/building-boxes-polynimial-and-rational-functions\"\u003e\u003cimg class=\"resource-img img-thumbnail img-responsive lozad\" alt=\"Building Boxes- Polynimial And Rational Functions Lesson Plan\" title=\"Building Boxes- Polynimial And Rational Functions Lesson Plan\" onError=\"handleImageNotLoadedError(this)\" data-default-image=\"https://static.lp.lexp.cloud/images/attachment_defaults/resource/large/FPO-pdf.png\" data-src=\"//lessonplanet.com/content/resources/thumbnails/121387/large/cgrmlwnvbnzlcnqymdezmdmyos01odmtzzfvawquanbn.jpg?1414221676\" 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='Building Boxes- Polynimial And Rational Functions'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Building Boxes- Polynimial And Rational Functions Lesson plan\" href=\"/teachers/building-boxes-polynimial-and-rational-functions\"\u003eBuilding Boxes- Polynimial And Rational Functions\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'\u003e7th - 9th\u003c/span\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-description-wrap'\u003e\n\u003cdiv class='resource-description'\u003e\nStudents investigate the concepts of polynomial and rational functions. They identify the general patterns used to solve problems. The use of real world contexts in the problems helps to promote engagement and understanding of how 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 Building Boxes- Polynimial And Rational Functions 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_resources_tab\" data-remote=\"true\" href=\"/subscription/new?signup_resource_id=313880\"\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=\"Building Boxes- Polynimial And Rational Functions Lesson plan\" href=\"/teachers/building-boxes-polynimial-and-rational-functions\"\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='854843' 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=\"Lesson 19:  Rational Functions and Long Division Worksheet\" href=\"/teachers/lesson-19-rational-functions-and-long-division\"\u003e\u003cimg class=\"resource-img img-thumbnail img-responsive lozad\" alt=\"Lesson 19:  Rational Functions and Long Division Worksheet\" title=\"Lesson 19:  Rational Functions and Long Division Worksheet\" onError=\"handleImageNotLoadedError(this)\" data-default-image=\"https://static.lp.lexp.cloud/images/attachment_defaults/resource/large/FPO-pdf.png\" data-src=\"//lessonplanet.com/content/resources/thumbnails/274977/large/odu0odqzlnbuzw.png?1414472381\" 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='Lesson 19:  Rational Functions and Long Division'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Lesson 19:  Rational Functions and Long Division Worksheet\" href=\"/teachers/lesson-19-rational-functions-and-long-division\"\u003eLesson 19:  Rational Functions and Long Division\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\nExplore rational functions with this packet. A lot of information is provided, including several examples. Learners graph rational functions and find vertical, horizontal, and oblique asymptotes. This seven-page learning exercise...\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 Lesson 19:  Rational Functions and Long Division 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_resources_tab\" data-remote=\"true\" href=\"/subscription/new?signup_resource_id=854843\"\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=\"Lesson 19:  Rational Functions and Long Division Worksheet\" href=\"/teachers/lesson-19-rational-functions-and-long-division\"\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='1016471' 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=\"ml10 z-10 video-duration\"\u003e7:56\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=\"How Do You Graph a Rational Function by Making a Table? Instructional video\" href=\"/teachers/how-do-you-graph-a-rational-function-by-making-a-table\"\u003e\u003cimg class=\"resource-img img-thumbnail img-responsive lozad\" alt=\"How Do You Graph a Rational Function by Making a Table? Instructional Video\" title=\"How Do You Graph a Rational Function by Making a Table? Instructional Video\" onError=\"handleImageNotLoadedError(this)\" data-default-image=\"https://static.lp.lexp.cloud/images/attachment_defaults/resource/large/missing.png\" data-src=\"//lessonplanet.com/content/resources/thumbnails/319004/large/cgrmlwnvbnzlcnqymde0mdewoc0xnjk3ltfydhlnaxiuanbn.jpg?1389224336\" 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='How Do You Graph a Rational Function by Making a Table?'\u003e\n\u003ca class=\"trk-show-resource\" title=\"How Do You Graph a Rational Function by Making a Table? Instructional video\" href=\"/teachers/how-do-you-graph-a-rational-function-by-making-a-table\"\u003eHow Do You Graph a Rational Function by Making a Table?\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'\u003e8th - 11th\u003c/span\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-description-wrap'\u003e\n\u003cdiv class='resource-description'\u003e\nMake a table to graph a rational equation. Make a list of values for x and plug them into the expression to get the y value. Then plot the ordered pairs on a graph. Hey, this graph looks funny! Something about asymptotes. Watch closely...\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 How Do You Graph a Rational Function by Making a Table? 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=1016471\"\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=\"How Do You Graph a Rational Function by Making a Table? Instructional video\" href=\"/teachers/how-do-you-graph-a-rational-function-by-making-a-table\"\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='1053864' 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=\"Module 4: Rational Functions Unit plan\" href=\"/teachers/module-4-rational-functions\"\u003e\u003cimg class=\"resource-img img-thumbnail img-responsive lozad\" alt=\"Module 4: Rational Functions Unit Plan\" title=\"Module 4: Rational Functions Unit Plan\" onError=\"handleImageNotLoadedError(this)\" data-default-image=\"https://static.lp.lexp.cloud/images/attachment_defaults/resource/large/FPO-pdf.png\" data-src=\"//lessonplanet.com/content/resources/thumbnails/333601/large/bwluav9tywdpy2symde2mtiwmi0ymdmwmi0xnzmwbxyuanbn.jpg?1480705900\" 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='Module 4: Rational Functions'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Module 4: Rational Functions Unit plan\" href=\"/teachers/module-4-rational-functions\"\u003eModule 4: Rational Functions\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 - 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\nTime to study the most sensible function — rational functions! The seven-lesson unit\u0026nbsp;develops the concept of a rational function through a connection to rational numbers and fractions. Scholars graph functions, solve equations, and...\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 Module 4: Rational Functions 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=1053864\"\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=\"Module 4: Rational Functions Unit plan\" href=\"/teachers/module-4-rational-functions\"\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='1067601' 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=\"Module 5: Rational Functions and Expressions Unit plan\" href=\"/teachers/module-5-rational-functions-and-expressions\"\u003e\u003cimg class=\"resource-img img-thumbnail img-responsive lozad\" alt=\"Module 5: Rational Functions and Expressions Unit Plan\" title=\"Module 5: Rational Functions and Expressions Unit Plan\" onError=\"handleImageNotLoadedError(this)\" data-default-image=\"https://static.lp.lexp.cloud/images/attachment_defaults/resource/large/FPO-pdf.png\" data-src=\"//lessonplanet.com/content/resources/thumbnails/375587/large/bwluav9tywdpy2symde4mtewnc0ymtc3nc14mgi3cg8uanbn.jpg?1541379775\" 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='Module 5: Rational Functions and Expressions'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Module 5: Rational Functions and Expressions Unit plan\" href=\"/teachers/module-5-rational-functions-and-expressions\"\u003eModule 5: Rational Functions and Expressions\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\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\nWhere do those asymptotes come from? Learners graph, simplify, and solve rational functions in the fifth module of a 10-part series. Beginning with graphing, pupils determine the key characteristics of the graphs including an in-depth...\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 Module 5: Rational Functions and Expressions 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_resources_tab\" data-remote=\"true\" href=\"/subscription/new?signup_resource_id=1067601\"\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=\"Module 5: Rational Functions and Expressions Unit plan\" href=\"/teachers/module-5-rational-functions-and-expressions\"\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='1048246' 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=\"Comparing Rational Functions and Simplified Functions Lesson plan\" href=\"/teachers/comparing-rational-functions-and-simplified-functions\"\u003e\u003cimg class=\"resource-img img-thumbnail img-responsive lozad\" alt=\"Comparing Rational Functions and Simplified Functions Lesson Plan\" title=\"Comparing Rational Functions and Simplified Functions Lesson Plan\" onError=\"handleImageNotLoadedError(this)\" data-default-image=\"https://static.lp.lexp.cloud/images/attachment_defaults/resource/large/FPO-pdf.png\" data-src=\"//lessonplanet.com/content/resources/thumbnails/329311/large/bwluav9tywdpy2symde2mduxos05nzatz2jqbxy5lmpwzw.jpg?1463683039\" 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'\u003eWest Contra Costa Unified School District\u003c/span\u003e\n\u003c/div\u003e\n\u003ch4 class='resource-title' title='Comparing Rational Functions and Simplified Functions'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Comparing Rational Functions and Simplified Functions Lesson plan\" href=\"/teachers/comparing-rational-functions-and-simplified-functions\"\u003eComparing Rational Functions and Simplified Functions\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\nWhat kind of functions have holes in their graphs? Here,\u0026nbsp;the teacher guides the class on how to use the simplified function of a rational function to aid in the graphing of the original rational function. T-tables are used in order...\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 Comparing Rational Functions and Simplified Functions 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=1048246\"\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=\"Comparing Rational Functions and Simplified Functions Lesson plan\" href=\"/teachers/comparing-rational-functions-and-simplified-functions\"\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='1056512' 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\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'\u003e1\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\n1\n\u003c/span\u003e\n\u003cspan class='hidden laptop-l:inline-block'\u003e\nIn 1 Collection\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=\"Rational Functions: Intercepts, Asymptotes, and Discontinuity Lesson plan\" href=\"/teachers/rational-functions-intercepts-asymptotes-and-discontinuity\"\u003e\u003cimg class=\"resource-img img-thumbnail img-responsive lozad\" alt=\"Rational Functions: Intercepts, Asymptotes, and Discontinuity Lesson Plan\" title=\"Rational Functions: Intercepts, Asymptotes, and Discontinuity Lesson Plan\" onError=\"handleImageNotLoadedError(this)\" data-default-image=\"https://static.lp.lexp.cloud/images/attachment_defaults/resource/large/FPO-pdf.png\" data-src=\"//lessonplanet.com/content/resources/thumbnails/1550/large/bwluav9tywdpy2symde3mdmwni0zmjeymi0xnjbjcjdllmpwzw.jpg?1488853163\" 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'\u003eVirginia Department of Education \u003c/span\u003e\n\u003c/div\u003e\n\u003ch4 class='resource-title' title='Rational Functions: Intercepts, Asymptotes, and Discontinuity'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Rational Functions: Intercepts, Asymptotes, and Discontinuity Lesson plan\" href=\"/teachers/rational-functions-intercepts-asymptotes-and-discontinuity\"\u003eRational Functions: Intercepts, Asymptotes, and Discontinuity\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\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\nDiscover different patterns by making connections between a rational function and its graph. An engaging lesson\u0026nbsp;asks scholars to explore the behavior of different rational functions. Groups discover a connection between the function...\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 Rational Functions: Intercepts, Asymptotes, and Discontinuity 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=1056512\"\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=\"Rational Functions: Intercepts, Asymptotes, and Discontinuity Lesson plan\" href=\"/teachers/rational-functions-intercepts-asymptotes-and-discontinuity\"\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\u003cdiv role=\"navigation\" aria-label=\"Pagination\" class=\"pagination\"\u003e\u003cul class=\"pagination\"\u003e\u003cli class=\"prev previous_page disabled\"\u003e\u003ca href=\"#\"\u003e\u0026#8592; Previous\u003c/a\u003e\u003c/li\u003e \u003cli class=\"active\"\u003e\u003ca rel=\"\" href=\"/lesson-plans/rational-functions\"\u003e1\u003c/a\u003e\u003c/li\u003e \u003cli\u003e\u003ca rel=\"next\" href=\"/lesson-plans/rational-functions/2\"\u003e2\u003c/a\u003e\u003c/li\u003e \u003cli\u003e\u003ca rel=\"\" href=\"/lesson-plans/rational-functions/3\"\u003e3\u003c/a\u003e\u003c/li\u003e \u003cli class=\"disabled\"\u003e\u003ca href=\"#\"\u003e\u0026hellip;\u003c/a\u003e\u003c/li\u003e \u003cli\u003e\u003ca rel=\"\" href=\"/lesson-plans/rational-functions/16\"\u003e16\u003c/a\u003e\u003c/li\u003e \u003cli class=\"next next_page \"\u003e\u003ca rel=\"next\" href=\"/lesson-plans/rational-functions/2\"\u003eNext \u0026#8594;\u003c/a\u003e\u003c/li\u003e\u003c/ul\u003e\u003c/div\u003e\n\u003c/div\u003e\n"}