{"results":"\u003cdiv class='relative search-result-item thumbnail-card no-access' data-id='1104294' 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=\"Texas Instruments: Bring Geometry to Life Lesson plan\" href=\"/teachers/texas-instruments-bring-geometry-to-life\"\u003e\u003cimg class=\"resource-img img-thumbnail img-responsive lozad\" alt=\"Texas Instruments: Bring Geometry to Life Lesson Plan\" title=\"Texas Instruments: Bring Geometry to Life Lesson Plan\" onError=\"handleImageNotLoadedError(this)\" data-default-image=\"https://static.lp.lexp.cloud/images/attachment_defaults/resource/large/FPO-knovation.png\" data-src=\"https://content.lessonplanet.com/knovation/original/37194-0c43ab0c155c87ed2548ad2ea5250dbb.jpg?1661363545\" width=\"315\" height=\"220\" src=\"data:image/png;base64,R0lGODlhAQABAAD/ACwAAAAAAQABAAACADs\" /\u003e\n\u003c/a\u003e\u003ci class='fa-solid fa-image fa-6x thumb-img-wrap-icon'\u003e\u003c/i\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-info-wrap'\u003e\n\u003cdiv class='resource-info'\u003e\n\u003cdiv class='resource-info-top overflow-hidden text-ellipsis'\u003e\n\u003cspan class='resource-pool-tag'\u003eTexas Instruments\u003c/span\u003e\n\u003c/div\u003e\n\u003ch4 class='resource-title' title='Texas Instruments: Bring Geometry to Life'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Texas Instruments: Bring Geometry to Life Lesson plan\" href=\"/teachers/texas-instruments-bring-geometry-to-life\"\u003eTexas Instruments: Bring Geometry to Life\n\u003c/a\u003e\u003c/h4\u003e\n\u003cdiv class='resource-meta text-xs text-gray-600 overflow-hidden text-ellipsis'\u003e\n\u003ci class='lp-icon fa-solid fa-user'\u003e\u003c/i\u003e\n\u003cspan class='resource-audience'\u003eFor Teachers\u003c/span\u003e\n\u003ci class='lp-icon fa-regular fa-graduation-cap'\u003e\u003c/i\u003e\n\u003cspan class='resource-grade'\u003e9th - 10th\u003c/span\u003e\n\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\nIn this activity, students use the Geometer's Sketchpad application to construct Euler's Line, Pythagorean Proof, and Fermat's point. They also investigate the concept of perimeter.\n\u003c/div\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-actions bg-white'\u003e\n\u003ca class=\"btn btn-default btn-xs text-xs free-access-btn upgrade-btn\" title=\"Get Free Access to Texas Instruments: Bring Geometry to Life 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=1104294\"\u003e\u003ci class='fa-regular fa-eye'\u003e\u003c/i\u003e\n\u003cspan class='button-text'\u003eGet Free Access\u003c/span\u003e\n\u003c/a\u003e\u003ca class=\"btn btn-default btn-xs text-xs trk-show-resource\" title=\"Texas Instruments: Bring Geometry to Life Lesson plan\" href=\"/teachers/texas-instruments-bring-geometry-to-life\"\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='1105503' data-is-require-teacher-acknowledgment='false' data-item-type='CollectionItemResource' data-type='Resource'\u003e\n\n\u003cdiv class='panel panel-default panel-resource mb-0 border-none'\u003e\n\u003cdiv class='resource-card-loader'\u003e\u003c/div\u003e\n\u003cdiv class='resource-type-banner'\u003e\n\u003cdiv class=\"type-resource type-custom\"\u003e\u003ci class=\"fa-solid fa-arrows-rotate resource-icon\"\u003e\u003c/i\u003e\u003cspan class=\"ml-5 relative z-10\"\u003eActivity\u003c/span\u003e\u003cspan class=\"resource-bg\"\u003e\u003c/span\u003e\u003c/div\u003e\n\u003c/div\u003e\n\u003cdiv class='thumb-img-wrap-width-helper'\u003e\u003c/div\u003e\n\u003cdiv class='thumb-img-wrap'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Texas Instruments: Solving Diff Eqs: Fundamental Theorem Calculus Activity\" href=\"/teachers/texas-instruments-solving-diff-eqs-fundamental-theorem-calculus\"\u003e\u003cimg class=\"resource-img img-thumbnail img-responsive lozad\" alt=\"Texas Instruments: Solving Diff Eqs: Fundamental Theorem Calculus Activity\" title=\"Texas Instruments: Solving Diff Eqs: Fundamental Theorem Calculus Activity\" onError=\"handleImageNotLoadedError(this)\" data-default-image=\"https://static.lp.lexp.cloud/images/attachment_defaults/resource/large/FPO-knovation.png\" data-src=\"https://content.lessonplanet.com/knovation/original/38516-4fa0a5e8b90efaa0e45cca18b6a1e4ff.jpg?1661363419\" width=\"315\" height=\"220\" src=\"data:image/png;base64,R0lGODlhAQABAAD/ACwAAAAAAQABAAACADs\" /\u003e\n\u003c/a\u003e\u003ci class='fa-solid fa-image fa-6x thumb-img-wrap-icon'\u003e\u003c/i\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-info-wrap'\u003e\n\u003cdiv class='resource-info'\u003e\n\u003cdiv class='resource-info-top overflow-hidden text-ellipsis'\u003e\n\u003cspan class='resource-pool-tag'\u003eTexas Instruments\u003c/span\u003e\n\u003c/div\u003e\n\u003ch4 class='resource-title' title='Texas Instruments: Solving Diff Eqs: Fundamental Theorem Calculus'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Texas Instruments: Solving Diff Eqs: Fundamental Theorem Calculus Activity\" href=\"/teachers/texas-instruments-solving-diff-eqs-fundamental-theorem-calculus\"\u003eTexas Instruments: Solving Diff Eqs: Fundamental Theorem Calculus\n\u003c/a\u003e\u003c/h4\u003e\n\u003cdiv class='resource-meta text-xs text-gray-600 overflow-hidden text-ellipsis'\u003e\n\u003ci class='lp-icon fa-solid fa-user'\u003e\u003c/i\u003e\n\u003cspan class='resource-audience'\u003eFor Teachers\u003c/span\u003e\n\u003ci class='lp-icon fa-regular fa-graduation-cap'\u003e\u003c/i\u003e\n\u003cspan class='resource-grade'\u003e9th - 10th\u003c/span\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-description-wrap'\u003e\n\u003cdiv class='resource-description'\u003e\nThis activity exclusively uses the graphing calculator's ability to apply Euler's method to find a solution to a differential equation with a given initial condition.\n\u003c/div\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-actions bg-white'\u003e\n\u003ca class=\"btn btn-default btn-xs text-xs free-access-btn upgrade-btn\" title=\"Get Free Access to Texas Instruments: Solving Diff Eqs: Fundamental Theorem Calculus Activity\" data-track-click=\"Search result free access button\" data-track-label=\"Search Page\" data-posthog-event=\"Signup: LP Signup Activity\" data-posthog-location=\"body_button_other\" data-remote=\"true\" href=\"/subscription/new?signup_resource_id=1105503\"\u003e\u003ci class='fa-regular fa-eye'\u003e\u003c/i\u003e\n\u003cspan class='button-text'\u003eGet Free Access\u003c/span\u003e\n\u003c/a\u003e\u003ca class=\"btn btn-default btn-xs text-xs trk-show-resource\" title=\"Texas Instruments: Solving Diff Eqs: Fundamental Theorem Calculus Activity\" href=\"/teachers/texas-instruments-solving-diff-eqs-fundamental-theorem-calculus\"\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='1208233' data-is-require-teacher-acknowledgment='false' data-item-type='CollectionItemResource' data-type='Resource'\u003e\n\n\u003cdiv class='panel panel-default panel-resource mb-0 border-none'\u003e\n\u003cdiv class='resource-card-loader'\u003e\u003c/div\u003e\n\u003cdiv class='resource-type-banner'\u003e\n\u003cdiv class=\"type-resource type-custom\"\u003e\u003ci class=\"fa-solid fa-arrows-rotate resource-icon\"\u003e\u003c/i\u003e\u003cspan class=\"ml-5 relative z-10\"\u003eActivity\u003c/span\u003e\u003cspan class=\"resource-bg\"\u003e\u003c/span\u003e\u003c/div\u003e\n\u003c/div\u003e\n\u003cdiv class='thumb-img-wrap-width-helper'\u003e\u003c/div\u003e\n\u003cdiv class='thumb-img-wrap'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Math Is Fun: Platonic Solids: Why Five? Activity\" href=\"/teachers/math-is-fun-platonic-solids-why-five\"\u003e\u003cimg class=\"resource-img img-thumbnail img-responsive lozad\" alt=\"Math Is Fun: Platonic Solids: Why Five? Activity\" title=\"Math Is Fun: Platonic Solids: Why Five? Activity\" onError=\"handleImageNotLoadedError(this)\" data-default-image=\"https://static.lp.lexp.cloud/images/attachment_defaults/resource/large/FPO-knovation.png\" data-src=\"https://content.lessonplanet.com/knovation/original/191977-ce57533531dbbbb46c19dac41569c8dc.jpg?1661514555\" 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'\u003eMath Is Fun\u003c/span\u003e\n\u003c/div\u003e\n\u003ch4 class='resource-title' title='Math Is Fun: Platonic Solids: Why Five?'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Math Is Fun: Platonic Solids: Why Five? Activity\" href=\"/teachers/math-is-fun-platonic-solids-why-five\"\u003eMath Is Fun: Platonic Solids: Why Five?\n\u003c/a\u003e\u003c/h4\u003e\n\u003cdiv class='resource-meta text-xs text-gray-600 overflow-hidden text-ellipsis'\u003e\n\u003ci class='lp-icon fa-solid fa-user'\u003e\u003c/i\u003e\n\u003cspan class='resource-audience'\u003eFor Students\u003c/span\u003e\n\u003ci class='lp-icon fa-regular fa-graduation-cap'\u003e\u003c/i\u003e\n\u003cspan class='resource-grade'\u003e9th - 10th\u003c/span\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-description-wrap'\u003e\n\u003cdiv class='resource-description'\u003e\nUse Euler's Formula and properties of known platonic solids' faces, edges, and vertices to determine why only five platonic solids exist.\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 Math Is Fun: Platonic Solids: Why Five? Activity\" data-track-click=\"Search result free access button\" data-track-label=\"Search Page\" data-posthog-event=\"Signup: LP Signup Activity\" data-posthog-location=\"body_button_other\" data-remote=\"true\" href=\"/subscription/new?signup_resource_id=1208233\"\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=\"Math Is Fun: Platonic Solids: Why Five? Activity\" href=\"/teachers/math-is-fun-platonic-solids-why-five\"\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='1208338' data-is-require-teacher-acknowledgment='false' data-item-type='CollectionItemResource' data-type='Resource'\u003e\n\n\u003cdiv class='panel panel-default panel-resource mb-0 border-none'\u003e\n\u003cdiv class='resource-card-loader'\u003e\u003c/div\u003e\n\u003cdiv class='resource-type-banner'\u003e\n\u003cdiv class=\"type-resource type-custom\"\u003e\u003ci class=\"fa-solid fa-arrows-rotate resource-icon\"\u003e\u003c/i\u003e\u003cspan class=\"ml-5 relative z-10\"\u003eActivity\u003c/span\u003e\u003cspan class=\"resource-bg\"\u003e\u003c/span\u003e\u003c/div\u003e\n\u003c/div\u003e\n\u003cdiv class='thumb-img-wrap-width-helper'\u003e\u003c/div\u003e\n\u003cdiv class='thumb-img-wrap'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Paul\u0026#39;s Online Notes: Differential Equations: First Order Differential Equations Activity\" href=\"/teachers/paul-s-online-notes-differential-equations-first-order-differential-equations\"\u003e\u003cimg class=\"resource-img img-thumbnail img-responsive lozad\" alt=\"Paul\u0026#39;s Online Notes: Differential Equations: First Order Differential Equations Activity\" title=\"Paul\u0026#39;s Online Notes: Differential Equations: First Order Differential Equations Activity\" onError=\"handleImageNotLoadedError(this)\" data-default-image=\"https://static.lp.lexp.cloud/images/attachment_defaults/resource/large/FPO-knovation.png\" data-src=\"https://content.lessonplanet.com/knovation/original/192086-6f4d232f0acc8f1f43f52d78e6490b89.jpg?1661515108\" width=\"315\" height=\"220\" src=\"data:image/png;base64,R0lGODlhAQABAAD/ACwAAAAAAQABAAACADs\" /\u003e\n\u003c/a\u003e\u003ci class='fa-solid fa-image fa-6x thumb-img-wrap-icon'\u003e\u003c/i\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-info-wrap'\u003e\n\u003cdiv class='resource-info'\u003e\n\u003cdiv class='resource-info-top overflow-hidden text-ellipsis'\u003e\n\u003cspan class='resource-pool-tag'\u003ePaul Dawkins\u003c/span\u003e\n\u003c/div\u003e\n\u003ch4 class='resource-title' title='Paul\u0026#39;s Online Notes: Differential Equations: First Order Differential Equations'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Paul\u0026#39;s Online Notes: Differential Equations: First Order Differential Equations Activity\" href=\"/teachers/paul-s-online-notes-differential-equations-first-order-differential-equations\"\u003ePaul's Online Notes: Differential Equations: First Order Differential Equations\n\u003c/a\u003e\u003c/h4\u003e\n\u003cdiv class='resource-meta text-xs text-gray-600 overflow-hidden text-ellipsis'\u003e\n\u003ci class='lp-icon fa-solid fa-user'\u003e\u003c/i\u003e\n\u003cspan class='resource-audience'\u003eFor Students\u003c/span\u003e\n\u003ci class='lp-icon fa-regular fa-graduation-cap'\u003e\u003c/i\u003e\n\u003cspan class='resource-grade'\u003e9th - 10th\u003c/span\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-description-wrap'\u003e\n\u003cdiv class='resource-description'\u003e\nThe tutorial explores first order differential equations. Topics examined are linear equations, separable equations, Bernoulli differential equations, equilibrium solutions, Euler?s method, and intervals of validity. Class notes,...\n\u003c/div\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-actions bg-white'\u003e\n\u003ca class=\"btn btn-default btn-xs text-xs free-access-btn upgrade-btn\" title=\"Get Free Access to Paul\u0026#39;s Online Notes: Differential Equations: First Order Differential Equations Activity\" data-track-click=\"Search result free access button\" data-track-label=\"Search Page\" data-posthog-event=\"Signup: LP Signup Activity\" data-posthog-location=\"body_button_other\" data-remote=\"true\" href=\"/subscription/new?signup_resource_id=1208338\"\u003e\u003ci class='fa-regular fa-eye'\u003e\u003c/i\u003e\n\u003cspan class='button-text'\u003eGet Free Access\u003c/span\u003e\n\u003c/a\u003e\u003ca class=\"btn btn-default btn-xs text-xs trk-show-resource\" title=\"Paul\u0026#39;s Online Notes: Differential Equations: First Order Differential Equations Activity\" href=\"/teachers/paul-s-online-notes-differential-equations-first-order-differential-equations\"\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='1219650' 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=\"Ck 12: Geometry: Polyhedrons Unit plan\" href=\"/teachers/ck-12-foundation-geometry-polyhedrons\"\u003e\u003cimg class=\"resource-img img-thumbnail img-responsive lozad\" alt=\"Ck 12: Geometry: Polyhedrons Unit Plan\" title=\"Ck 12: Geometry: Polyhedrons Unit Plan\" onError=\"handleImageNotLoadedError(this)\" data-default-image=\"https://static.lp.lexp.cloud/images/attachment_defaults/resource/large/FPO-knovation.png\" data-src=\"https://content.lessonplanet.com/knovation/original/207268-c9d92df14a423fd2d5166de500b4b247.jpg?1661601948\" 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='Ck 12: Geometry: Polyhedrons'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Ck 12: Geometry: Polyhedrons Unit plan\" href=\"/teachers/ck-12-foundation-geometry-polyhedrons\"\u003eCk 12: Geometry: Polyhedrons\n\u003c/a\u003e\u003c/h4\u003e\n\u003cdiv class='resource-meta text-xs text-gray-600 overflow-hidden text-ellipsis'\u003e\n\u003ci class='lp-icon fa-solid fa-user'\u003e\u003c/i\u003e\n\u003cspan class='resource-audience'\u003eFor Students\u003c/span\u003e\n\u003ci class='lp-icon fa-regular fa-graduation-cap'\u003e\u003c/i\u003e\n\u003cspan class='resource-grade'\u003e9th - 10th\u003c/span\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-description-wrap'\u003e\n\u003cdiv class='resource-description'\u003e\n[Free Registration/Login may be required to access all resource tools.] This concept teaches students about polyhedrons, Euler's Theorem, and regular polyhedrons.\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 Ck 12: Geometry: Polyhedrons 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=1219650\"\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=\"Ck 12: Geometry: Polyhedrons Unit plan\" href=\"/teachers/ck-12-foundation-geometry-polyhedrons\"\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='1219651' 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=\"Ck 12: Geometry: Polyhedrons Unit plan\" href=\"/teachers/ck-12-geometry-polyhedrons\"\u003e\u003cimg class=\"resource-img img-thumbnail img-responsive lozad\" alt=\"Ck 12: Geometry: Polyhedrons Unit Plan\" title=\"Ck 12: Geometry: Polyhedrons Unit Plan\" onError=\"handleImageNotLoadedError(this)\" data-default-image=\"https://static.lp.lexp.cloud/images/attachment_defaults/resource/large/FPO-knovation.png\" data-src=\"https://content.lessonplanet.com/knovation/original/207269-21e5e7f852f85bb890dcd8d6cd2b470b.jpg?1661601947\" 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='Ck 12: Geometry: Polyhedrons'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Ck 12: Geometry: Polyhedrons Unit plan\" href=\"/teachers/ck-12-geometry-polyhedrons\"\u003eCk 12: Geometry: Polyhedrons\n\u003c/a\u003e\u003c/h4\u003e\n\u003cdiv class='resource-meta text-xs text-gray-600 overflow-hidden text-ellipsis'\u003e\n\u003ci class='lp-icon fa-solid fa-user'\u003e\u003c/i\u003e\n\u003cspan class='resource-audience'\u003eFor Students\u003c/span\u003e\n\u003ci class='lp-icon fa-regular fa-graduation-cap'\u003e\u003c/i\u003e\n\u003cspan class='resource-grade'\u003e9th - 10th\u003c/span\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-description-wrap'\u003e\n\u003cdiv class='resource-description'\u003e\n[Free Registration/Login may be required to access all resource tools.] Apply Euler's Theorem.\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 Ck 12: Geometry: Polyhedrons 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=1219651\"\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=\"Ck 12: Geometry: Polyhedrons Unit plan\" href=\"/teachers/ck-12-geometry-polyhedrons\"\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='1240057' data-is-require-teacher-acknowledgment='false' data-item-type='CollectionItemResource' data-type='Resource'\u003e\n\n\u003cdiv class='panel panel-default panel-resource mb-0 border-none'\u003e\n\u003cdiv class='resource-card-loader'\u003e\u003c/div\u003e\n\u003cdiv class='resource-type-banner'\u003e\n\u003cdiv class=\"type-resource type-custom\"\u003e\u003ci class=\"fa-solid fa-file resource-icon\"\u003e\u003c/i\u003e\u003cspan class=\"ml-5 relative z-10\"\u003eHandout\u003c/span\u003e\u003cspan class=\"resource-bg\"\u003e\u003c/span\u003e\u003c/div\u003e\n\u003c/div\u003e\n\u003cdiv class='thumb-img-wrap-width-helper'\u003e\u003c/div\u003e\n\u003cdiv class='thumb-img-wrap'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Regents Exam Prep Center: Polyhedra Handout\" href=\"/teachers/regents-exam-prep-center-polyhedra\"\u003e\u003cimg class=\"resource-img img-thumbnail img-responsive lozad\" alt=\"Regents Exam Prep Center: Polyhedra Handout\" title=\"Regents Exam Prep Center: Polyhedra Handout\" onError=\"handleImageNotLoadedError(this)\" data-default-image=\"https://static.lp.lexp.cloud/images/attachment_defaults/resource/large/FPO-knovation.png\" data-src=\"https://content.lessonplanet.com/knovation/original/234973-38dbac553d259476ebc2848f300241f6.jpg?1661514987\" 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'\u003eOswego City School District\u003c/span\u003e\n\u003c/div\u003e\n\u003ch4 class='resource-title' title='Regents Exam Prep Center: Polyhedra'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Regents Exam Prep Center: Polyhedra Handout\" href=\"/teachers/regents-exam-prep-center-polyhedra\"\u003eRegents Exam Prep Center: Polyhedra\n\u003c/a\u003e\u003c/h4\u003e\n\u003cdiv class='resource-meta text-xs text-gray-600 overflow-hidden text-ellipsis'\u003e\n\u003ci class='lp-icon fa-solid fa-user'\u003e\u003c/i\u003e\n\u003cspan class='resource-audience'\u003eFor Teachers\u003c/span\u003e\n\u003ci class='lp-icon fa-regular fa-graduation-cap'\u003e\u003c/i\u003e\n\u003cspan class='resource-grade'\u003e9th - 10th\u003c/span\u003e\n\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\nView and learn about five different polyhedra: tetrahedron, octahedron, icosahedron, hexahedron, and dodecahedron. Learn what Euler's Polyhedra Theorem is, and see examples of non-polyhedra as well.\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 Regents Exam Prep Center: Polyhedra Handout\" data-track-click=\"Search result free access button\" data-track-label=\"Search Page\" data-posthog-event=\"Signup: LP Signup Activity\" data-posthog-location=\"body_button_other\" data-remote=\"true\" href=\"/subscription/new?signup_resource_id=1240057\"\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=\"Regents Exam Prep Center: Polyhedra Handout\" href=\"/teachers/regents-exam-prep-center-polyhedra\"\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='1272116' data-is-require-teacher-acknowledgment='false' data-item-type='CollectionItemResource' data-type='Resource'\u003e\n\n\u003cdiv class='panel panel-default panel-resource mb-0 border-none'\u003e\n\u003cdiv class='resource-card-loader'\u003e\u003c/div\u003e\n\u003cdiv class='resource-type-banner'\u003e\n\u003cdiv class=\"type-resource type-ebook\"\u003e\u003ci class=\"fa-solid fa-tablet resource-icon\"\u003e\u003c/i\u003e\u003cspan class=\"ml-5 relative z-10\"\u003eeBook\u003c/span\u003e\u003cspan class=\"resource-bg\"\u003e\u003c/span\u003e\u003c/div\u003e\n\u003c/div\u003e\n\u003cdiv class='thumb-img-wrap-width-helper'\u003e\u003c/div\u003e\n\u003cdiv class='thumb-img-wrap'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Mathigon: Geometry: Polygons and Polyhedra: Polyhedra Ebook\" href=\"/teachers/mathigon-geometry-polygons-and-polyhedra-polyhedra\"\u003e\u003cimg class=\"resource-img img-thumbnail img-responsive lozad\" alt=\"Mathigon: Geometry: Polygons and Polyhedra: Polyhedra eBook\" title=\"Mathigon: Geometry: Polygons and Polyhedra: Polyhedra eBook\" onError=\"handleImageNotLoadedError(this)\" data-default-image=\"https://static.lp.lexp.cloud/images/attachment_defaults/resource/large/FPO-knovation.png\" data-src=\"https://static.lp.lexp.cloud/images/attachment_defaults/resource/large/FPO-knovation.png\" 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'\u003eMathigon\u003c/span\u003e\n\u003c/div\u003e\n\u003ch4 class='resource-title' title='Mathigon: Geometry: Polygons and Polyhedra: Polyhedra'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Mathigon: Geometry: Polygons and Polyhedra: Polyhedra Ebook\" href=\"/teachers/mathigon-geometry-polygons-and-polyhedra-polyhedra\"\u003eMathigon: Geometry: Polygons and Polyhedra: Polyhedra\n\u003c/a\u003e\u003c/h4\u003e\n\u003cdiv class='resource-meta text-xs text-gray-600 overflow-hidden text-ellipsis'\u003e\n\u003ci class='lp-icon fa-solid fa-user'\u003e\u003c/i\u003e\n\u003cspan class='resource-audience'\u003eFor Students\u003c/span\u003e\n\u003ci class='lp-icon fa-regular fa-graduation-cap'\u003e\u003c/i\u003e\n\u003cspan class='resource-grade'\u003e9th - 10th\u003c/span\u003e\n\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\nThis lesson focuses on polyhedra; a polyhedron (the plural is polyhedra) is a 3-dimensional solid object that is made up of polygons. Euler's Polyhedron Formula: In every polyhedron, the number of faces (F) plus the number of vertices...\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 Mathigon: Geometry: Polygons and Polyhedra: Polyhedra Ebook\" data-track-click=\"Search result free access button\" data-track-label=\"Search Page\" data-posthog-event=\"Signup: LP Signup Activity\" data-posthog-location=\"body_button_other\" data-remote=\"true\" href=\"/subscription/new?signup_resource_id=1272116\"\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=\"Mathigon: Geometry: Polygons and Polyhedra: Polyhedra Ebook\" href=\"/teachers/mathigon-geometry-polygons-and-polyhedra-polyhedra\"\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='1289168' data-is-require-teacher-acknowledgment='false' data-item-type='CollectionItemResource' data-type='Resource'\u003e\n\n\u003cdiv class='panel panel-default panel-resource mb-0 border-none'\u003e\n\u003cdiv class='resource-card-loader'\u003e\u003c/div\u003e\n\u003cdiv class='resource-type-banner'\u003e\n\u003cdiv class=\"type-resource type-custom\"\u003e\u003ci class=\"fa-solid fa-file resource-icon\"\u003e\u003c/i\u003e\u003cspan class=\"ml-5 relative z-10\"\u003eHandout\u003c/span\u003e\u003cspan class=\"resource-bg\"\u003e\u003c/span\u003e\u003c/div\u003e\n\u003c/div\u003e\n\u003cdiv class='thumb-img-wrap-width-helper'\u003e\u003c/div\u003e\n\u003cdiv class='thumb-img-wrap'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Ck 12: Geometry: Polyhedra Study Guide Handout\" href=\"/teachers/ck-12-geometry-polyhedra-study-guide\"\u003e\u003cimg class=\"resource-img img-thumbnail img-responsive lozad\" alt=\"Ck 12: Geometry: Polyhedra Study Guide Handout\" title=\"Ck 12: Geometry: Polyhedra Study Guide Handout\" onError=\"handleImageNotLoadedError(this)\" data-default-image=\"https://static.lp.lexp.cloud/images/attachment_defaults/resource/large/FPO-knovation.png\" data-src=\"https://static.lp.lexp.cloud/images/attachment_defaults/resource/large/FPO-knovation.png\" 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='Ck 12: Geometry: Polyhedra Study Guide'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Ck 12: Geometry: Polyhedra Study Guide Handout\" href=\"/teachers/ck-12-geometry-polyhedra-study-guide\"\u003eCk 12: Geometry: Polyhedra Study Guide\n\u003c/a\u003e\u003c/h4\u003e\n\u003cdiv class='resource-meta text-xs text-gray-600 overflow-hidden text-ellipsis'\u003e\n\u003ci class='lp-icon fa-solid fa-user'\u003e\u003c/i\u003e\n\u003cspan class='resource-audience'\u003eFor Students\u003c/span\u003e\n\u003ci class='lp-icon fa-regular fa-graduation-cap'\u003e\u003c/i\u003e\n\u003cspan class='resource-grade'\u003e9th - 10th\u003c/span\u003e\n\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\n[Free Registration/Login may be required to access all resource tools.] This study guide reviews how to classify polyhedra, Euler's formula, and regular polyhedra.\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 Ck 12: Geometry: Polyhedra Study Guide Handout\" data-track-click=\"Search result free access button\" data-track-label=\"Search Page\" data-posthog-event=\"Signup: LP Signup Activity\" data-posthog-location=\"body_button_other\" data-remote=\"true\" href=\"/subscription/new?signup_resource_id=1289168\"\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=\"Ck 12: Geometry: Polyhedra Study Guide Handout\" href=\"/teachers/ck-12-geometry-polyhedra-study-guide\"\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='1291375' data-is-require-teacher-acknowledgment='false' data-item-type='CollectionItemResource' data-type='Resource'\u003e\n\n\u003cdiv class='panel panel-default panel-resource mb-0 border-none'\u003e\n\u003cdiv class='resource-card-loader'\u003e\u003c/div\u003e\n\u003cdiv class='resource-type-banner'\u003e\n\u003cdiv class=\"type-resource type-ebook\"\u003e\u003ci class=\"fa-solid fa-tablet resource-icon\"\u003e\u003c/i\u003e\u003cspan class=\"ml-5 relative z-10\"\u003eeBook\u003c/span\u003e\u003cspan class=\"resource-bg\"\u003e\u003c/span\u003e\u003c/div\u003e\n\u003c/div\u003e\n\u003cdiv class='thumb-img-wrap-width-helper'\u003e\u003c/div\u003e\n\u003cdiv class='thumb-img-wrap'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Mathigon: Graphs and Networks: The Bridges of Konigsberg Ebook\" href=\"/teachers/mathigon-graphs-and-networks-the-bridges-of-konigsberg\"\u003e\u003cimg class=\"resource-img img-thumbnail img-responsive lozad\" alt=\"Mathigon: Graphs and Networks: The Bridges of Konigsberg eBook\" title=\"Mathigon: Graphs and Networks: The Bridges of Konigsberg eBook\" onError=\"handleImageNotLoadedError(this)\" data-default-image=\"https://static.lp.lexp.cloud/images/attachment_defaults/resource/large/FPO-knovation.png\" data-src=\"https://static.lp.lexp.cloud/images/attachment_defaults/resource/large/FPO-knovation.png\" 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'\u003eMathigon\u003c/span\u003e\n\u003c/div\u003e\n\u003ch4 class='resource-title' title='Mathigon: Graphs and Networks: The Bridges of Konigsberg'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Mathigon: Graphs and Networks: The Bridges of Konigsberg Ebook\" href=\"/teachers/mathigon-graphs-and-networks-the-bridges-of-konigsberg\"\u003eMathigon: Graphs and Networks: The Bridges of Konigsberg\n\u003c/a\u003e\u003c/h4\u003e\n\u003cdiv class='resource-meta text-xs text-gray-600 overflow-hidden text-ellipsis'\u003e\n\u003ci class='lp-icon fa-solid fa-user'\u003e\u003c/i\u003e\n\u003cspan class='resource-audience'\u003eFor Students\u003c/span\u003e\n\u003ci class='lp-icon fa-regular fa-graduation-cap'\u003e\u003c/i\u003e\n\u003cspan class='resource-grade'\u003e9th - 10th\u003c/span\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-description-wrap'\u003e\n\u003cdiv class='resource-description'\u003e\nThis lesson focuses on developing a way to cross all 7 Bridges of Konigsberg without crossing any of them more than once. Euler discovered it was impossible, but he developed the idea of using graph theory to determine if it would be...\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 Mathigon: Graphs and Networks: The Bridges of Konigsberg Ebook\" data-track-click=\"Search result free access button\" data-track-label=\"Search Page\" data-posthog-event=\"Signup: LP Signup Activity\" data-posthog-location=\"body_button_resources_tab\" data-remote=\"true\" href=\"/subscription/new?signup_resource_id=1291375\"\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=\"Mathigon: Graphs and Networks: The Bridges of Konigsberg Ebook\" href=\"/teachers/mathigon-graphs-and-networks-the-bridges-of-konigsberg\"\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='1408015' 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=\"Nctm: Illuminations: Graph Creator Interactive\" href=\"/teachers/nctm-illuminations-graph-creator\"\u003e\u003cimg class=\"resource-img img-thumbnail img-responsive lozad\" alt=\"Nctm: Illuminations: Graph Creator Interactive\" title=\"Nctm: Illuminations: Graph Creator Interactive\" onError=\"handleImageNotLoadedError(this)\" data-default-image=\"https://static.lp.lexp.cloud/images/attachment_defaults/resource/large/FPO-knovation.png\" data-src=\"https://static.lp.lexp.cloud/images/attachment_defaults/resource/large/FPO-knovation.png\" 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'\u003eNational Council of Teachers of Mathematics\u003c/span\u003e\n\u003c/div\u003e\n\u003ch4 class='resource-title' title='Nctm: Illuminations: Graph Creator'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Nctm: Illuminations: Graph Creator Interactive\" href=\"/teachers/nctm-illuminations-graph-creator\"\u003eNctm: Illuminations: Graph Creator\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'\u003e3rd - 8th\u003c/span\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-description-wrap'\u003e\n\u003cdiv class='resource-description'\u003e\nUse this vertex-edge tool to create graphs and explore them. Investigate ideas such as planar graphs, complete graphs, minimum-cost spanning trees, and Euler and Hamiltonian paths.\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 Nctm: Illuminations: Graph Creator 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=1408015\"\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=\"Nctm: Illuminations: Graph Creator Interactive\" href=\"/teachers/nctm-illuminations-graph-creator\"\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='1104506' data-is-require-teacher-acknowledgment='false' data-item-type='CollectionItemResource' data-type='Resource'\u003e\n\n\u003cdiv class='panel panel-default panel-resource mb-0 border-none'\u003e\n\u003cdiv class='resource-card-loader'\u003e\u003c/div\u003e\n\u003cdiv class='resource-type-banner'\u003e\n\u003cdiv class=\"type-resource type-custom\"\u003e\u003ci class=\"fa-solid fa-arrows-rotate resource-icon\"\u003e\u003c/i\u003e\u003cspan class=\"ml-5 relative z-10\"\u003eActivity\u003c/span\u003e\u003cspan class=\"resource-bg\"\u003e\u003c/span\u003e\u003c/div\u003e\n\u003c/div\u003e\n\u003cdiv class='thumb-img-wrap-width-helper'\u003e\u003c/div\u003e\n\u003cdiv class='thumb-img-wrap'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Texas Instruments: Approximate Solutions: Differential Equations Activity\" href=\"/teachers/texas-instruments-approximate-solutions-differential-equations\"\u003e\u003cimg class=\"resource-img img-thumbnail img-responsive lozad\" alt=\"Texas Instruments: Approximate Solutions: Differential Equations Activity\" title=\"Texas Instruments: Approximate Solutions: Differential Equations Activity\" onError=\"handleImageNotLoadedError(this)\" data-default-image=\"https://static.lp.lexp.cloud/images/attachment_defaults/resource/large/FPO-knovation.png\" data-src=\"https://content.lessonplanet.com/knovation/original/37406-2ea570f14b956643c245110ec9278bd9.jpg?1661363417\" width=\"315\" height=\"220\" src=\"data:image/png;base64,R0lGODlhAQABAAD/ACwAAAAAAQABAAACADs\" /\u003e\n\u003c/a\u003e\u003ci class='fa-solid fa-image fa-6x thumb-img-wrap-icon'\u003e\u003c/i\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-info-wrap'\u003e\n\u003cdiv class='resource-info'\u003e\n\u003cdiv class='resource-info-top overflow-hidden text-ellipsis'\u003e\n\u003cspan class='resource-pool-tag'\u003eTexas Instruments\u003c/span\u003e\n\u003c/div\u003e\n\u003ch4 class='resource-title' title='Texas Instruments: Approximate Solutions: Differential Equations'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Texas Instruments: Approximate Solutions: Differential Equations Activity\" href=\"/teachers/texas-instruments-approximate-solutions-differential-equations\"\u003eTexas Instruments: Approximate Solutions: Differential Equations\n\u003c/a\u003e\u003c/h4\u003e\n\u003cdiv class='resource-meta text-xs text-gray-600 overflow-hidden text-ellipsis'\u003e\n\u003ci class='lp-icon fa-solid fa-user'\u003e\u003c/i\u003e\n\u003cspan class='resource-audience'\u003eFor Teachers\u003c/span\u003e\n\u003ci class='lp-icon fa-regular fa-graduation-cap'\u003e\u003c/i\u003e\n\u003cspan class='resource-grade'\u003e9th - 10th\u003c/span\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-description-wrap'\u003e\n\u003cdiv class='resource-description'\u003e\nThe base of the natural logarithm function, is called Euler's number, in honor of Leonhard Euler, a great Swiss mathematician. (Continued. See \"before the activity.\")\n\u003c/div\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-actions bg-white'\u003e\n\u003ca class=\"btn btn-default btn-xs text-xs free-access-btn upgrade-btn\" title=\"Get Free Access to Texas Instruments: Approximate Solutions: Differential Equations Activity\" data-track-click=\"Search result free access button\" data-track-label=\"Search Page\" data-posthog-event=\"Signup: LP Signup Activity\" data-posthog-location=\"body_button_resources_tab\" data-remote=\"true\" href=\"/subscription/new?signup_resource_id=1104506\"\u003e\u003ci class='fa-regular fa-eye'\u003e\u003c/i\u003e\n\u003cspan class='button-text'\u003eGet Free Access\u003c/span\u003e\n\u003c/a\u003e\u003ca class=\"btn btn-default btn-xs text-xs trk-show-resource\" title=\"Texas Instruments: Approximate Solutions: Differential Equations Activity\" href=\"/teachers/texas-instruments-approximate-solutions-differential-equations\"\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='1103310' data-is-require-teacher-acknowledgment='false' data-item-type='CollectionItemResource' data-type='Resource'\u003e\n\n\u003cdiv class='panel panel-default panel-resource mb-0 border-none'\u003e\n\u003cdiv class='resource-card-loader'\u003e\u003c/div\u003e\n\u003cdiv class='resource-type-banner'\u003e\n\u003cdiv class=\"type-resource type-custom\"\u003e\u003ci class=\"fa-solid fa-arrows-rotate resource-icon\"\u003e\u003c/i\u003e\u003cspan class=\"ml-5 relative z-10\"\u003eActivity\u003c/span\u003e\u003cspan class=\"resource-bg\"\u003e\u003c/span\u003e\u003c/div\u003e\n\u003c/div\u003e\n\u003cdiv class='thumb-img-wrap-width-helper'\u003e\u003c/div\u003e\n\u003cdiv class='thumb-img-wrap'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Texas Instruments: Numb3 Rs: The Konigsberg Bridge Problem Activity\" href=\"/teachers/texas-instruments-numb3-rs-the-konigsberg-bridge-problem\"\u003e\u003cimg class=\"resource-img img-thumbnail img-responsive lozad\" alt=\"Texas Instruments: Numb3 Rs: The Konigsberg Bridge Problem Activity\" title=\"Texas Instruments: Numb3 Rs: The Konigsberg Bridge Problem Activity\" onError=\"handleImageNotLoadedError(this)\" data-default-image=\"https://static.lp.lexp.cloud/images/attachment_defaults/resource/large/FPO-knovation.png\" data-src=\"https://content.lessonplanet.com/knovation/original/36194-54c1b14c1e9fde3b0dc3b4f40201633b.jpg?1661407143\" width=\"315\" height=\"220\" src=\"data:image/png;base64,R0lGODlhAQABAAD/ACwAAAAAAQABAAACADs\" /\u003e\n\u003c/a\u003e\u003ci class='fa-solid fa-image fa-6x thumb-img-wrap-icon'\u003e\u003c/i\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-info-wrap'\u003e\n\u003cdiv class='resource-info'\u003e\n\u003cdiv class='resource-info-top overflow-hidden text-ellipsis'\u003e\n\u003cspan class='resource-pool-tag'\u003eTexas Instruments\u003c/span\u003e\n\u003c/div\u003e\n\u003ch4 class='resource-title' title='Texas Instruments: Numb3 Rs: The Konigsberg Bridge Problem'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Texas Instruments: Numb3 Rs: The Konigsberg Bridge Problem Activity\" href=\"/teachers/texas-instruments-numb3-rs-the-konigsberg-bridge-problem\"\u003eTexas Instruments: Numb3 Rs: The Konigsberg Bridge Problem\n\u003c/a\u003e\u003c/h4\u003e\n\u003cdiv class='resource-meta text-xs text-gray-600 overflow-hidden text-ellipsis'\u003e\n\u003ci class='lp-icon fa-solid fa-user'\u003e\u003c/i\u003e\n\u003cspan class='resource-audience'\u003eFor Teachers\u003c/span\u003e\n\u003ci class='lp-icon fa-regular fa-graduation-cap'\u003e\u003c/i\u003e\n\u003cspan class='resource-grade'\u003e9th - 10th\u003c/span\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-description-wrap'\u003e\n\u003cdiv class='resource-description'\u003e\nBased off of the hit television show NUMB3RS, this lesson introduces students to the world of Graph Theory, by having them explore the Konigsberg Bridge Problem. Through this lesson, students will be able to determine if Euler paths...\n\u003c/div\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-actions bg-white'\u003e\n\u003ca class=\"btn btn-default btn-xs text-xs free-access-btn upgrade-btn\" title=\"Get Free Access to Texas Instruments: Numb3 Rs: The Konigsberg Bridge Problem Activity\" data-track-click=\"Search result free access button\" data-track-label=\"Search Page\" data-posthog-event=\"Signup: LP Signup Activity\" data-posthog-location=\"body_button_other\" data-remote=\"true\" href=\"/subscription/new?signup_resource_id=1103310\"\u003e\u003ci class='fa-regular fa-eye'\u003e\u003c/i\u003e\n\u003cspan class='button-text'\u003eGet Free Access\u003c/span\u003e\n\u003c/a\u003e\u003ca class=\"btn btn-default btn-xs text-xs trk-show-resource\" title=\"Texas Instruments: Numb3 Rs: The Konigsberg Bridge Problem Activity\" href=\"/teachers/texas-instruments-numb3-rs-the-konigsberg-bridge-problem\"\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='1408441' 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-article\"\u003e\u003ci class=\"fa-solid fa-newspaper resource-icon\"\u003e\u003c/i\u003e\u003cspan class=\"ml-5 relative z-10\"\u003eArticle\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=\"Free Codecamp: How to Think in Graphs Article\" href=\"/teachers/free-codecamp-how-to-think-in-graphs\"\u003e\u003cimg class=\"resource-img img-thumbnail img-responsive lozad\" alt=\"Free Codecamp: How to Think in Graphs Article\" title=\"Free Codecamp: How to Think in Graphs Article\" onError=\"handleImageNotLoadedError(this)\" data-default-image=\"https://static.lp.lexp.cloud/images/attachment_defaults/resource/large/FPO-knovation.png\" data-src=\"https://static.lp.lexp.cloud/images/attachment_defaults/resource/large/FPO-knovation.png\" 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'\u003eOther\u003c/span\u003e\n\u003c/div\u003e\n\u003ch4 class='resource-title' title='Free Codecamp: How to Think in Graphs'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Free Codecamp: How to Think in Graphs Article\" href=\"/teachers/free-codecamp-how-to-think-in-graphs\"\u003eFree Codecamp: How to Think in Graphs\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\nIn this article, we're going to demonstrate various applications of graph theory. These applications will contain detailed illustrations. As the author states, if you've been looking for a \"graph theory and everything about it tutorial...\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 Free Codecamp: How to Think in Graphs Article\" 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=1408441\"\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=\"Free Codecamp: How to Think in Graphs Article\" href=\"/teachers/free-codecamp-how-to-think-in-graphs\"\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='1100010' data-is-require-teacher-acknowledgment='false' data-item-type='CollectionItemResource' data-type='Resource'\u003e\n\n\u003cdiv class='panel panel-default panel-resource mb-0 border-none'\u003e\n\u003cdiv class='resource-card-loader'\u003e\u003c/div\u003e\n\u003cdiv class='resource-type-banner'\u003e\n\u003cdiv class=\"type-resource type-custom\"\u003e\u003ci class=\"fa-solid fa-file resource-icon\"\u003e\u003c/i\u003e\u003cspan class=\"ml-5 relative z-10\"\u003eHandout\u003c/span\u003e\u003cspan class=\"resource-bg\"\u003e\u003c/span\u003e\u003c/div\u003e\n\u003c/div\u003e\n\u003cdiv class='thumb-img-wrap-width-helper'\u003e\u003c/div\u003e\n\u003cdiv class='thumb-img-wrap'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Wolfram Math World: Generalized Hyperbolic Functions Handout\" href=\"/teachers/wolfram-math-world-generalized-hyperbolic-functions\"\u003e\u003cimg class=\"resource-img img-thumbnail img-responsive lozad\" alt=\"Wolfram Math World: Generalized Hyperbolic Functions Handout\" title=\"Wolfram Math World: Generalized Hyperbolic Functions Handout\" onError=\"handleImageNotLoadedError(this)\" data-default-image=\"https://static.lp.lexp.cloud/images/attachment_defaults/resource/large/FPO-knovation.png\" data-src=\"https://content.lessonplanet.com/knovation/original/31343-a69d88a259bc3806ca6ed588ac413f86.jpg?1661447929\" 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'\u003eWolfram Research\u003c/span\u003e\n\u003c/div\u003e\n\u003ch4 class='resource-title' title='Wolfram Math World: Generalized Hyperbolic Functions'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Wolfram Math World: Generalized Hyperbolic Functions Handout\" href=\"/teachers/wolfram-math-world-generalized-hyperbolic-functions\"\u003eWolfram Math World: Generalized Hyperbolic 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 - 10th\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\nThis site from MathWorld.com has information on the Hyperbolic functions. This site includes a definition which includes the derivative of such a function, the Euler formula for the function, its Laplace transform, and a list of the...\n\u003c/div\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-actions bg-white'\u003e\n\u003ca class=\"btn btn-default btn-xs text-xs free-access-btn upgrade-btn\" title=\"Get Free Access to Wolfram Math World: Generalized Hyperbolic Functions Handout\" data-track-click=\"Search result free access button\" data-track-label=\"Search Page\" data-posthog-event=\"Signup: LP Signup Activity\" data-posthog-location=\"body_button_other\" data-remote=\"true\" href=\"/subscription/new?signup_resource_id=1100010\"\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=\"Wolfram Math World: Generalized Hyperbolic Functions Handout\" href=\"/teachers/wolfram-math-world-generalized-hyperbolic-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='1085041' 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-website\"\u003e\u003ci class=\"fa-solid fa-columns resource-icon\"\u003e\u003c/i\u003e\u003cspan class=\"ml-5 relative z-10\"\u003eWebsite\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=\"Mit: Calculus Index Website\" href=\"/teachers/mit-calculus-index\"\u003e\u003cimg class=\"resource-img img-thumbnail img-responsive lozad\" alt=\"Mit: Calculus Index Website\" title=\"Mit: Calculus Index Website\" onError=\"handleImageNotLoadedError(this)\" data-default-image=\"https://static.lp.lexp.cloud/images/attachment_defaults/resource/large/FPO-knovation.png\" data-src=\"https://content.lessonplanet.com/knovation/original/9444-0c991bbbf527f5a69560ccb615cdb15c.jpg?1661503223\" 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'\u003eMassachusetts Institute of Technology\u003c/span\u003e\n\u003c/div\u003e\n\u003ch4 class='resource-title' title='Mit: Calculus Index'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Mit: Calculus Index Website\" href=\"/teachers/mit-calculus-index\"\u003eMit: Calculus Index\n\u003c/a\u003e\u003c/h4\u003e\n\u003cdiv class='resource-meta text-xs text-gray-600 overflow-hidden text-ellipsis'\u003e\n\u003ci class='lp-icon fa-solid fa-user'\u003e\u003c/i\u003e\n\u003cspan class='resource-audience'\u003eFor Students\u003c/span\u003e\n\u003ci class='lp-icon fa-regular fa-graduation-cap'\u003e\u003c/i\u003e\n\u003cspan class='resource-grade'\u003e9th - 10th\u003c/span\u003e\n\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\nThis site from the Massachussets Institute of Technology has links to various topics in calculus.\n\u003c/div\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-actions bg-white'\u003e\n\u003ca class=\"btn btn-default btn-xs text-xs free-access-btn upgrade-btn\" title=\"Get Free Access to Mit: Calculus Index Website\" 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=1085041\"\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=\"Mit: Calculus Index Website\" href=\"/teachers/mit-calculus-index\"\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='1085964' 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=\"Math2.org: Expansions for Pi Unit plan\" href=\"/teachers/math2-org-expansions-for-pi\"\u003e\u003cimg class=\"resource-img img-thumbnail img-responsive lozad\" alt=\"Math2.org: Expansions for Pi Unit Plan\" title=\"Math2.org: Expansions for Pi Unit Plan\" onError=\"handleImageNotLoadedError(this)\" data-default-image=\"https://static.lp.lexp.cloud/images/attachment_defaults/resource/large/FPO-knovation.png\" data-src=\"https://content.lessonplanet.com/knovation/original/10912-b24245212437c14fa1b7f640b1e5c28e.jpg?1661268577\" 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'\u003eMath2\u003c/span\u003e\n\u003c/div\u003e\n\u003ch4 class='resource-title' title='Math2.org: Expansions for Pi'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Math2.org: Expansions for Pi Unit plan\" href=\"/teachers/math2-org-expansions-for-pi\"\u003eMath2.org: Expansions for Pi\n\u003c/a\u003e\u003c/h4\u003e\n\u003cdiv class='resource-meta text-xs text-gray-600 overflow-hidden text-ellipsis'\u003e\n\u003ci class='lp-icon fa-solid fa-user'\u003e\u003c/i\u003e\n\u003cspan class='resource-audience'\u003eFor Students\u003c/span\u003e\n\u003ci class='lp-icon fa-regular fa-graduation-cap'\u003e\u003c/i\u003e\n\u003cspan class='resource-grade'\u003e9th - 10th\u003c/span\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-description-wrap'\u003e\n\u003cdiv class='resource-description'\u003e\nA listing of some of the more famous formulas developed and used throughout the centuries for defining pi are given and explained.\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 Math2.org: Expansions for Pi 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=1085964\"\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=\"Math2.org: Expansions for Pi Unit plan\" href=\"/teachers/math2-org-expansions-for-pi\"\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='1087091' data-is-require-teacher-acknowledgment='false' data-item-type='CollectionItemResource' data-type='Resource'\u003e\n\n\u003cdiv class='panel panel-default panel-resource mb-0 border-none'\u003e\n\u003cdiv class='resource-card-loader'\u003e\u003c/div\u003e\n\u003cdiv class='resource-type-banner'\u003e\n\u003cdiv class=\"type-resource type-instructional-video\"\u003e\u003ci class=\"fa-solid fa-circle-play resource-icon\"\u003e\u003c/i\u003e\u003cspan class=\"ml-5 relative z-10\"\u003eInstructional Video\u003c/span\u003e\u003cspan class=\"resource-bg\"\u003e\u003c/span\u003e\u003c/div\u003e\n\u003c/div\u003e\n\u003cdiv class='thumb-img-wrap-width-helper'\u003e\u003c/div\u003e\n\u003cdiv class='thumb-img-wrap'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Mit: Blossoms: Connections in the Plane Without Crossing Instructional video\" href=\"/teachers/mit-blossoms-connections-in-the-plane-without-crossing\"\u003e\u003cimg class=\"resource-img img-thumbnail img-responsive lozad\" alt=\"Mit: Blossoms: Connections in the Plane Without Crossing Instructional Video\" title=\"Mit: Blossoms: Connections in the Plane Without Crossing Instructional Video\" onError=\"handleImageNotLoadedError(this)\" data-default-image=\"https://static.lp.lexp.cloud/images/attachment_defaults/resource/large/FPO-knovation.png\" data-src=\"https://content.lessonplanet.com/knovation/original/12948-08e67cced0ce2a395cd4210aa911e50a.jpg?1661820197\" 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'\u003eMassachusetts Institute of Technology\u003c/span\u003e\n\u003c/div\u003e\n\u003ch4 class='resource-title' title='Mit: Blossoms: Connections in the Plane Without Crossing'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Mit: Blossoms: Connections in the Plane Without Crossing Instructional video\" href=\"/teachers/mit-blossoms-connections-in-the-plane-without-crossing\"\u003eMit: Blossoms: Connections in the Plane Without Crossing\n\u003c/a\u003e\u003c/h4\u003e\n\u003cdiv class='resource-meta text-xs text-gray-600 overflow-hidden text-ellipsis'\u003e\n\u003ci class='lp-icon fa-solid fa-user'\u003e\u003c/i\u003e\n\u003cspan class='resource-audience'\u003eFor Students\u003c/span\u003e\n\u003ci class='lp-icon fa-regular fa-graduation-cap'\u003e\u003c/i\u003e\n\u003cspan class='resource-grade'\u003e9th - 10th\u003c/span\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-description-wrap'\u003e\n\u003cdiv class='resource-description'\u003e\nThis lesson presents interesting and challenging problems in Graph Theory, supporting the skills that students learned at school and stimulating their critical thinking. The topics will include: basic properties of graphs; complete...\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 Mit: Blossoms: Connections in the Plane Without Crossing 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=1087091\"\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=\"Mit: Blossoms: Connections in the Plane Without Crossing Instructional video\" href=\"/teachers/mit-blossoms-connections-in-the-plane-without-crossing\"\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='1225893' data-is-require-teacher-acknowledgment='false' data-item-type='CollectionItemResource' data-type='Resource'\u003e\n\n\u003cdiv class='panel panel-default panel-resource mb-0 border-none'\u003e\n\u003cdiv class='resource-card-loader'\u003e\u003c/div\u003e\n\u003cdiv class='resource-type-banner'\u003e\n\u003cdiv class=\"type-resource type-instructional-video\"\u003e\u003ci class=\"fa-solid fa-circle-play resource-icon\"\u003e\u003c/i\u003e\u003cspan class=\"ml-5 relative z-10\"\u003eInstructional Video\u003c/span\u003e\u003cspan class=\"resource-bg\"\u003e\u003c/span\u003e\u003c/div\u003e\n\u003c/div\u003e\n\u003cdiv class='thumb-img-wrap-width-helper'\u003e\u003c/div\u003e\n\u003cdiv class='thumb-img-wrap'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Khan Academy: Pre Calculus: Basic Complex Analysis Instructional video\" href=\"/teachers/khan-academy-pre-calculus-basic-complex-analysis\"\u003e\u003cimg class=\"resource-img img-thumbnail img-responsive lozad\" alt=\"Khan Academy: Pre Calculus: Basic Complex Analysis Instructional Video\" title=\"Khan Academy: Pre Calculus: Basic Complex Analysis Instructional Video\" onError=\"handleImageNotLoadedError(this)\" data-default-image=\"https://static.lp.lexp.cloud/images/attachment_defaults/resource/large/FPO-knovation.png\" data-src=\"https://content.lessonplanet.com/knovation/original/215085-6cf852966f0c1ffbb7a3f9297aaf908f.jpg?1661757291\" width=\"315\" height=\"220\" src=\"data:image/png;base64,R0lGODlhAQABAAD/ACwAAAAAAQABAAACADs\" /\u003e\n\u003c/a\u003e\u003ci class='fa-solid fa-image fa-6x thumb-img-wrap-icon'\u003e\u003c/i\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-info-wrap'\u003e\n\u003cdiv class='resource-info'\u003e\n\u003cdiv class='resource-info-top overflow-hidden text-ellipsis'\u003e\n\u003cspan class='resource-pool-tag'\u003eKhan Academy\u003c/span\u003e\n\u003c/div\u003e\n\u003ch4 class='resource-title' title='Khan Academy: Pre Calculus: Basic Complex Analysis'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Khan Academy: Pre Calculus: Basic Complex Analysis Instructional video\" href=\"/teachers/khan-academy-pre-calculus-basic-complex-analysis\"\u003eKhan Academy: Pre Calculus: Basic Complex Analysis\n\u003c/a\u003e\u003c/h4\u003e\n\u003cdiv class='resource-meta text-xs text-gray-600 overflow-hidden text-ellipsis'\u003e\n\u003ci class='lp-icon fa-solid fa-user'\u003e\u003c/i\u003e\n\u003cspan class='resource-audience'\u003eFor Students\u003c/span\u003e\n\u003ci class='lp-icon fa-regular fa-graduation-cap'\u003e\u003c/i\u003e\n\u003cspan class='resource-grade'\u003e9th - 10th\u003c/span\u003e\n\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\nA video [13:04] introducing complex analysis. Complex numbers are defined as a number having two parts: a real part and an imaginary part. The instructor shows how to graph these in the complex number plane. The video also explains how...\n\u003c/div\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-actions bg-white'\u003e\n\u003ca class=\"btn btn-default btn-xs text-xs free-access-btn upgrade-btn\" title=\"Get Free Access to Khan Academy: Pre Calculus: Basic Complex Analysis 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=1225893\"\u003e\u003ci class='fa-regular fa-eye'\u003e\u003c/i\u003e\n\u003cspan class='button-text'\u003eGet Free Access\u003c/span\u003e\n\u003c/a\u003e\u003ca class=\"btn btn-default btn-xs text-xs trk-show-resource\" title=\"Khan Academy: Pre Calculus: Basic Complex Analysis Instructional video\" href=\"/teachers/khan-academy-pre-calculus-basic-complex-analysis\"\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='1226657' data-is-require-teacher-acknowledgment='false' data-item-type='CollectionItemResource' data-type='Resource'\u003e\n\n\u003cdiv class='panel panel-default panel-resource mb-0 border-none'\u003e\n\u003cdiv class='resource-card-loader'\u003e\u003c/div\u003e\n\u003cdiv class='resource-type-banner'\u003e\n\u003cdiv class=\"type-resource type-instructional-video\"\u003e\u003ci class=\"fa-solid fa-circle-play resource-icon\"\u003e\u003c/i\u003e\u003cspan class=\"ml-5 relative z-10\"\u003eInstructional Video\u003c/span\u003e\u003cspan class=\"resource-bg\"\u003e\u003c/span\u003e\u003c/div\u003e\n\u003c/div\u003e\n\u003cdiv class='thumb-img-wrap-width-helper'\u003e\u003c/div\u003e\n\u003cdiv class='thumb-img-wrap'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Khan Academy: Trigonometry: Tau Versus Pi Instructional video\" href=\"/teachers/khan-academy-trigonometry-tau-versus-pi\"\u003e\u003cimg class=\"resource-img img-thumbnail img-responsive lozad\" alt=\"Khan Academy: Trigonometry: Tau Versus Pi Instructional Video\" title=\"Khan Academy: Trigonometry: Tau Versus Pi Instructional Video\" onError=\"handleImageNotLoadedError(this)\" data-default-image=\"https://static.lp.lexp.cloud/images/attachment_defaults/resource/large/FPO-knovation.png\" data-src=\"https://content.lessonplanet.com/knovation/original/216335-7feac52a4e7fc8eaf94756cf3201dc46.jpg?1661756453\" width=\"315\" height=\"220\" src=\"data:image/png;base64,R0lGODlhAQABAAD/ACwAAAAAAQABAAACADs\" /\u003e\n\u003c/a\u003e\u003ci class='fa-solid fa-image fa-6x thumb-img-wrap-icon'\u003e\u003c/i\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-info-wrap'\u003e\n\u003cdiv class='resource-info'\u003e\n\u003cdiv class='resource-info-top overflow-hidden text-ellipsis'\u003e\n\u003cspan class='resource-pool-tag'\u003eKhan Academy\u003c/span\u003e\n\u003c/div\u003e\n\u003ch4 class='resource-title' title='Khan Academy: Trigonometry: Tau Versus Pi'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Khan Academy: Trigonometry: Tau Versus Pi Instructional video\" href=\"/teachers/khan-academy-trigonometry-tau-versus-pi\"\u003eKhan Academy: Trigonometry: Tau Versus Pi\n\u003c/a\u003e\u003c/h4\u003e\n\u003cdiv class='resource-meta text-xs text-gray-600 overflow-hidden text-ellipsis'\u003e\n\u003ci class='lp-icon fa-solid fa-user'\u003e\u003c/i\u003e\n\u003cspan class='resource-audience'\u003eFor Students\u003c/span\u003e\n\u003ci class='lp-icon fa-regular fa-graduation-cap'\u003e\u003c/i\u003e\n\u003cspan class='resource-grade'\u003e9th - 10th\u003c/span\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-description-wrap'\u003e\n\u003cdiv class='resource-description'\u003e\nThis video explores pi and tau, and their relationship to the length of the arc of a circle, the sine graph, and Euler's formula. [16:22]\n\u003c/div\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-actions bg-white'\u003e\n\u003ca class=\"btn btn-default btn-xs text-xs free-access-btn upgrade-btn\" title=\"Get Free Access to Khan Academy: Trigonometry: Tau Versus Pi 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=1226657\"\u003e\u003ci class='fa-regular fa-eye'\u003e\u003c/i\u003e\n\u003cspan class='button-text'\u003eGet Free Access\u003c/span\u003e\n\u003c/a\u003e\u003ca class=\"btn btn-default btn-xs text-xs trk-show-resource\" title=\"Khan Academy: Trigonometry: Tau Versus Pi Instructional video\" href=\"/teachers/khan-academy-trigonometry-tau-versus-pi\"\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='1114883' data-is-require-teacher-acknowledgment='false' data-item-type='CollectionItemResource' data-type='Resource'\u003e\n\n\u003cdiv class='panel panel-default panel-resource mb-0 border-none'\u003e\n\u003cdiv class='resource-card-loader'\u003e\u003c/div\u003e\n\u003cdiv class='resource-type-banner'\u003e\n\u003cdiv class=\"type-resource type-custom\"\u003e\u003ci class=\"fa-solid fa-arrows-rotate resource-icon\"\u003e\u003c/i\u003e\u003cspan class=\"ml-5 relative z-10\"\u003eActivity\u003c/span\u003e\u003cspan class=\"resource-bg\"\u003e\u003c/span\u003e\u003c/div\u003e\n\u003c/div\u003e\n\u003cdiv class='thumb-img-wrap-width-helper'\u003e\u003c/div\u003e\n\u003cdiv class='thumb-img-wrap'\u003e\n\u003ca class=\"trk-show-resource\" title=\"S.o.s. Math: Algebra Activity\" href=\"/teachers/s-o-s-math-algebra\"\u003e\u003cimg class=\"resource-img img-thumbnail img-responsive lozad\" alt=\"S.o.s. Math: Algebra Activity\" title=\"S.o.s. Math: Algebra Activity\" onError=\"handleImageNotLoadedError(this)\" data-default-image=\"https://static.lp.lexp.cloud/images/attachment_defaults/resource/large/FPO-knovation.png\" data-src=\"https://content.lessonplanet.com/knovation/original/53728-92020c6440ff6b717312ae0c23755ed6.jpg?1661262492\" 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'\u003eMath Medics\u003c/span\u003e\n\u003c/div\u003e\n\u003ch4 class='resource-title' title='S.o.s. Math: Algebra'\u003e\n\u003ca class=\"trk-show-resource\" title=\"S.o.s. Math: Algebra Activity\" href=\"/teachers/s-o-s-math-algebra\"\u003eS.o.s. Math: 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 Students\u003c/span\u003e\n\u003ci class='lp-icon fa-regular fa-graduation-cap'\u003e\u003c/i\u003e\n\u003cspan class='resource-grade'\u003e9th - 10th\u003c/span\u003e\n\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\nThis lesson provides basic instruction on the major concepts in algebra. Content includes a focus on fractions, units of conversion, complex numbers, quadratic equations, factorization and roots of polynomials, solving equations, systems...\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 S.o.s. Math: Algebra Activity\" data-track-click=\"Search result free access button\" data-track-label=\"Search Page\" data-posthog-event=\"Signup: LP Signup Activity\" data-posthog-location=\"body_button_resources_tab\" data-remote=\"true\" href=\"/subscription/new?signup_resource_id=1114883\"\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=\"S.o.s. Math: Algebra Activity\" href=\"/teachers/s-o-s-math-algebra\"\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='1164360' data-is-require-teacher-acknowledgment='false' data-item-type='CollectionItemResource' data-type='Resource'\u003e\n\n\u003cdiv class='panel panel-default panel-resource mb-0 border-none'\u003e\n\u003cdiv class='resource-card-loader'\u003e\u003c/div\u003e\n\u003cdiv class='resource-type-banner'\u003e\n\u003cdiv class=\"type-resource type-custom\"\u003e\u003ci class=\"fa-solid fa-file resource-icon\"\u003e\u003c/i\u003e\u003cspan class=\"ml-5 relative z-10\"\u003eProfessional Doc\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=\"Annenberg Learner: Robots Professional doc\" href=\"/teachers/annenberg-learner-robots\"\u003e\u003cimg class=\"resource-img img-thumbnail img-responsive lozad\" alt=\"Annenberg Learner: Robots Professional Doc\" title=\"Annenberg Learner: Robots Professional Doc\" onError=\"handleImageNotLoadedError(this)\" data-default-image=\"https://static.lp.lexp.cloud/images/attachment_defaults/resource/large/FPO-knovation.png\" data-src=\"https://content.lessonplanet.com/knovation/original/126469-0e59b56fbc11dc9b72d1b3e1fde24522.jpg?1661774394\" 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'\u003eAnnenberg Foundation\u003c/span\u003e\n\u003c/div\u003e\n\u003ch4 class='resource-title' title='Annenberg Learner: Robots'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Annenberg Learner: Robots Professional doc\" href=\"/teachers/annenberg-learner-robots\"\u003eAnnenberg Learner: Robots\n\u003c/a\u003e\u003c/h4\u003e\n\u003cdiv class='resource-meta text-xs text-gray-600 overflow-hidden text-ellipsis'\u003e\n\u003ci class='lp-icon fa-solid fa-user'\u003e\u003c/i\u003e\n\u003cspan class='resource-audience'\u003eFor Students\u003c/span\u003e\n\u003ci class='lp-icon fa-regular fa-graduation-cap'\u003e\u003c/i\u003e\n\u003cspan class='resource-grade'\u003e9th - 10th\u003c/span\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-description-wrap'\u003e\n\u003cdiv class='resource-description'\u003e\nThe owner of a factory has two expensive robots to automate a manufacturing process. Use the topological concept of a configuration space to coordinate their actions and maximize their efficiency on the manufacturing floor.\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 Annenberg Learner: Robots Professional doc\" 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=1164360\"\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=\"Annenberg Learner: Robots Professional doc\" href=\"/teachers/annenberg-learner-robots\"\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='1215664' 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-unknown-type\"\u003e\u003ci class=\"fa-solid fa-user-secret resource-icon\"\u003e\u003c/i\u003e\u003cspan class=\"ml-5 relative z-10\"\u003eUnknown Type\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=\"Varsity Tutors: Hotmath: Practice Problems: Differential Equations Unknown type\" href=\"/teachers/varsity-tutors-hotmath-practice-problems-differential-equations\"\u003e\u003cimg class=\"resource-img img-thumbnail img-responsive lozad\" alt=\"Varsity Tutors: Hotmath: Practice Problems: Differential Equations Unknown Type\" title=\"Varsity Tutors: Hotmath: Practice Problems: Differential Equations Unknown Type\" onError=\"handleImageNotLoadedError(this)\" data-default-image=\"https://static.lp.lexp.cloud/images/attachment_defaults/resource/large/FPO-knovation.png\" data-src=\"https://static.lp.lexp.cloud/images/attachment_defaults/resource/large/FPO-knovation.png\" 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'\u003eVarsity Tutors \u003c/span\u003e\n\u003c/div\u003e\n\u003ch4 class='resource-title' title='Varsity Tutors: Hotmath: Practice Problems: Differential Equations'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Varsity Tutors: Hotmath: Practice Problems: Differential Equations Unknown type\" href=\"/teachers/varsity-tutors-hotmath-practice-problems-differential-equations\"\u003eVarsity Tutors: Hotmath: Practice Problems: Differential Equations\n\u003c/a\u003e\u003c/h4\u003e\n\u003cdiv class='resource-meta text-xs text-gray-600 overflow-hidden text-ellipsis'\u003e\n\u003ci class='lp-icon fa-solid fa-user'\u003e\u003c/i\u003e\n\u003cspan class='resource-audience'\u003eFor Students\u003c/span\u003e\n\u003ci class='lp-icon fa-regular fa-graduation-cap'\u003e\u003c/i\u003e\n\u003cspan class='resource-grade'\u003e9th - 10th\u003c/span\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-description-wrap'\u003e\n\u003cdiv class='resource-description'\u003e\nHotmath provides 20 practice problems dealing with differential equations. Each of the practice problems include a step-by-step guide.\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 Varsity Tutors: Hotmath: Practice Problems: Differential Equations Unknown type\" 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=1215664\"\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=\"Varsity Tutors: Hotmath: Practice Problems: Differential Equations Unknown type\" href=\"/teachers/varsity-tutors-hotmath-practice-problems-differential-equations\"\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='1226023' data-is-require-teacher-acknowledgment='false' data-item-type='CollectionItemResource' data-type='Resource'\u003e\n\n\u003cdiv class='panel panel-default panel-resource mb-0 border-none'\u003e\n\u003cdiv class='resource-card-loader'\u003e\u003c/div\u003e\n\u003cdiv class='resource-type-banner'\u003e\n\u003cdiv class=\"type-resource type-instructional-video\"\u003e\u003ci class=\"fa-solid fa-circle-play resource-icon\"\u003e\u003c/i\u003e\u003cspan class=\"ml-5 relative z-10\"\u003eInstructional Video\u003c/span\u003e\u003cspan class=\"resource-bg\"\u003e\u003c/span\u003e\u003c/div\u003e\n\u003c/div\u003e\n\u003cdiv class='thumb-img-wrap-width-helper'\u003e\u003c/div\u003e\n\u003cdiv class='thumb-img-wrap'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Khan Academy: Differential Equations: Complex Roots of Characteristic Equation 2 Instructional video\" href=\"/teachers/khan-academy-differential-equations-complex-roots-of-characteristic-equation-2\"\u003e\u003cimg class=\"resource-img img-thumbnail img-responsive lozad\" alt=\"Khan Academy: Differential Equations: Complex Roots of Characteristic Equation 2 Instructional Video\" title=\"Khan Academy: Differential Equations: Complex Roots of Characteristic Equation 2 Instructional Video\" onError=\"handleImageNotLoadedError(this)\" data-default-image=\"https://static.lp.lexp.cloud/images/attachment_defaults/resource/large/FPO-knovation.png\" data-src=\"https://content.lessonplanet.com/knovation/original/215323-fde4214b090785170410bf33d3b0df4c.jpg?1661757275\" width=\"315\" height=\"220\" src=\"data:image/png;base64,R0lGODlhAQABAAD/ACwAAAAAAQABAAACADs\" /\u003e\n\u003c/a\u003e\u003ci class='fa-solid fa-image fa-6x thumb-img-wrap-icon'\u003e\u003c/i\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-info-wrap'\u003e\n\u003cdiv class='resource-info'\u003e\n\u003cdiv class='resource-info-top overflow-hidden text-ellipsis'\u003e\n\u003cspan class='resource-pool-tag'\u003eKhan Academy\u003c/span\u003e\n\u003c/div\u003e\n\u003ch4 class='resource-title' title='Khan Academy: Differential Equations: Complex Roots of Characteristic Equation 2'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Khan Academy: Differential Equations: Complex Roots of Characteristic Equation 2 Instructional video\" href=\"/teachers/khan-academy-differential-equations-complex-roots-of-characteristic-equation-2\"\u003eKhan Academy: Differential Equations: Complex Roots of Characteristic Equation 2\n\u003c/a\u003e\u003c/h4\u003e\n\u003cdiv class='resource-meta text-xs text-gray-600 overflow-hidden text-ellipsis'\u003e\n\u003ci class='lp-icon fa-solid fa-user'\u003e\u003c/i\u003e\n\u003cspan class='resource-audience'\u003eFor Students\u003c/span\u003e\n\u003ci class='lp-icon fa-regular fa-graduation-cap'\u003e\u003c/i\u003e\n\u003cspan class='resource-grade'\u003e9th - 10th\u003c/span\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-description-wrap'\u003e\n\u003cdiv class='resource-description'\u003e\nVideo continues from previous video showing what happens when the roots of the characteristic equation are complex and deriving a formula for the general solution. Shows an example problem applying the formula derived to determine the...\n\u003c/div\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-actions bg-white'\u003e\n\u003ca class=\"btn btn-default btn-xs text-xs free-access-btn upgrade-btn\" title=\"Get Free Access to Khan Academy: Differential Equations: Complex Roots of Characteristic Equation 2 Instructional video\" data-track-click=\"Search result free access button\" data-track-label=\"Search Page\" data-posthog-event=\"Signup: LP Signup Activity\" data-posthog-location=\"body_button_other\" data-remote=\"true\" href=\"/subscription/new?signup_resource_id=1226023\"\u003e\u003ci class='fa-regular fa-eye'\u003e\u003c/i\u003e\n\u003cspan class='button-text'\u003eGet Free Access\u003c/span\u003e\n\u003c/a\u003e\u003ca class=\"btn btn-default btn-xs text-xs trk-show-resource\" title=\"Khan Academy: Differential Equations: Complex Roots of Characteristic Equation 2 Instructional video\" href=\"/teachers/khan-academy-differential-equations-complex-roots-of-characteristic-equation-2\"\u003e\u003ci class='fa-solid fa-list-ul'\u003e\u003c/i\u003e\n\u003cspan class='button-text'\u003eSee Review\u003c/span\u003e\n\u003c/a\u003e\u003c/div\u003e\n\u003c/div\u003e\n\u003c/div\u003e\n\u003c/div\u003e\n\n\u003c/div\u003e\n\n\n","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 \"\u003e\u003ca rel=\"prev\" href=\"/lesson-plans/leonhard-euler/7\"\u003e\u0026#8592; Previous\u003c/a\u003e\u003c/li\u003e \u003cli\u003e\u003ca rel=\"\" href=\"/lesson-plans/leonhard-euler\"\u003e1\u003c/a\u003e\u003c/li\u003e \u003cli class=\"disabled\"\u003e\u003ca href=\"#\"\u003e\u0026hellip;\u003c/a\u003e\u003c/li\u003e \u003cli\u003e\u003ca rel=\"prev\" href=\"/lesson-plans/leonhard-euler/7\"\u003e7\u003c/a\u003e\u003c/li\u003e \u003cli class=\"active\"\u003e\u003ca rel=\"\" href=\"/lesson-plans/leonhard-euler/8\"\u003e8\u003c/a\u003e\u003c/li\u003e \u003cli\u003e\u003ca rel=\"next\" href=\"/lesson-plans/leonhard-euler/9\"\u003e9\u003c/a\u003e\u003c/li\u003e \u003cli\u003e\u003ca rel=\"\" href=\"/lesson-plans/leonhard-euler/10\"\u003e10\u003c/a\u003e\u003c/li\u003e \u003cli class=\"next next_page \"\u003e\u003ca rel=\"next\" href=\"/lesson-plans/leonhard-euler/9\"\u003eNext \u0026#8594;\u003c/a\u003e\u003c/li\u003e\u003c/ul\u003e\u003c/div\u003e\n\u003c/div\u003e\n"}