{"results":"\u003cdiv class='relative search-result-item thumbnail-card no-access' data-id='841882' data-item-type='CollectionItemResource' data-type='Resource'\u003e\n\u003cdiv class='add-to-builder' data-id='841882' data-item-type='CollectionItemResource' data-type='Resource'\u003e\n\u003cdiv class='resource-card-add-button'\u003e\n\u003cspan class='plus'\u003e+\u003c/span\u003e\n\u003cspan class='lp-icon-check fa-solid fa-check'\u003e\u003c/span\u003e\n\u003c/div\u003e\n\u003c/div\u003e\n\n\u003cdiv class='panel panel-default panel-resource mb-0'\u003e\n\u003cdiv class='resource-card-loader'\u003e\u003c/div\u003e\n\u003cdiv class='resource-type-banner'\u003e\n\u003cdiv class=\"type-resource type-worksheet\"\u003e\u003ci class=\"fa-solid fa-pen-to-square resource-icon\"\u003e\u003c/i\u003e\u003cspan class=\"ml-5 relative z-10\"\u003eWorksheet\u003c/span\u003e\u003cspan class=\"resource-bg\"\u003e\u003c/span\u003e\u003c/div\u003e\n\u003c/div\u003e\n\u003cdiv class='thumb-img-wrap-width-helper'\u003e\u003c/div\u003e\n\u003cdiv class='thumb-img-wrap'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Linear Approximation Worksheet\" href=\"/teachers/linear-approximation-9th-11th\"\u003e\u003cimg class=\"resource-img img-thumbnail img-responsive lozad\" alt=\"Linear Approximation Worksheet\" title=\"Linear Approximation Worksheet\" onError=\"handleImageNotLoadedError(this)\" data-default-image=\"https://d15y2dacu3jp90.cloudfront.net/images/attachment_defaults/resource/large/FPO-pdf.png\" data-src=\"//content.lessonplanet.com/resources/thumbnails/46273/large/bwluav9tywdpy2symde3mdmymi0xnze0ns0xyws1c3bolmpwzw.jpg?1490217980\" width=\"315\" height=\"220\" src=\"data:image/png;base64,R0lGODlhAQABAAD/ACwAAAAAAQABAAACADs\" /\u003e\n\u003c/a\u003e\u003ci class='fa-solid fa-image fa-6x thumb-img-wrap-icon'\u003e\u003c/i\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-info-wrap'\u003e\n\u003cdiv class='resource-info'\u003e\n\u003cdiv class='resource-info-top overflow-hidden text-ellipsis'\u003e\n\u003cspan class='resource-pool-tag'\u003eCurated OER\u003c/span\u003e\n\u003c/div\u003e\n\u003ch4 class='resource-title' title='Linear Approximation'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Linear Approximation Worksheet\" href=\"/teachers/linear-approximation-9th-11th\"\u003eLinear Approximation\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 - 11th\u003c/span\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-description-wrap'\u003e\n\u003cdiv class='resource-description'\u003e\nIn this algebra worksheet, students solve problems using estimation and the derivative. They calculate the critical points, domain and indicated intervals. They calculate the first and second derivative. There are 5 problems.\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 Linear Approximation Worksheet\" data-track-click=\"Search result free access button\" data-track-label=\"Search Page\" data-remote=\"true\" href=\"/subscription/new?signup_resource_id=841882\"\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=\"Linear Approximation Worksheet\" href=\"/teachers/linear-approximation-9th-11th\"\u003e\u003ci class='fa-solid fa-list-ul'\u003e\u003c/i\u003e\n\u003cspan class='button-text'\u003eSee Review\u003c/span\u003e\n\u003c/a\u003e\u003c/div\u003e\n\u003c/div\u003e\n\u003c/div\u003e\n\u003c/div\u003e\n\n\u003c/div\u003e\n\n\n\u003cdiv class='relative search-result-item thumbnail-card no-access' data-id='541211' data-item-type='CollectionItemResource' data-type='Resource'\u003e\n\u003cdiv class='add-to-builder' data-id='541211' data-item-type='CollectionItemResource' data-type='Resource'\u003e\n\u003cdiv class='resource-card-add-button'\u003e\n\u003cspan class='plus'\u003e+\u003c/span\u003e\n\u003cspan class='lp-icon-check fa-solid fa-check'\u003e\u003c/span\u003e\n\u003c/div\u003e\n\u003c/div\u003e\n\n\u003cdiv class='panel panel-default panel-resource mb-0'\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=\"Linear Approximation Lesson plan\" href=\"/teachers/linear-approximation\"\u003e\u003cimg class=\"resource-img img-thumbnail img-responsive lozad\" alt=\"Linear Approximation Lesson Plan\" title=\"Linear Approximation Lesson Plan\" onError=\"handleImageNotLoadedError(this)\" data-default-image=\"https://d15y2dacu3jp90.cloudfront.net/images/attachment_defaults/resource/large/missing.png\" data-src=\"//content.lessonplanet.com/resources/thumbnails/46271/large/bwluav9tywdpy2symde3mdmymi0xnjy5ns1veny5mgeuanbn.jpg?1490217983\" width=\"315\" height=\"220\" src=\"data:image/png;base64,R0lGODlhAQABAAD/ACwAAAAAAQABAAACADs\" /\u003e\n\u003c/a\u003e\u003ci class='fa-solid fa-image fa-6x thumb-img-wrap-icon'\u003e\u003c/i\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-info-wrap'\u003e\n\u003cdiv class='resource-info'\u003e\n\u003cdiv class='resource-info-top overflow-hidden text-ellipsis'\u003e\n\u003cspan class='resource-pool-tag'\u003eCurated OER\u003c/span\u003e\n\u003c/div\u003e\n\u003ch4 class='resource-title' title='Linear Approximation'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Linear Approximation Lesson plan\" href=\"/teachers/linear-approximation\"\u003eLinear Approximation\n\u003c/a\u003e\u003c/h4\u003e\n\u003cdiv class='resource-meta text-xs text-gray-600 overflow-hidden text-ellipsis'\u003e\n\u003ci class='lp-icon fa-solid fa-user'\u003e\u003c/i\u003e\n\u003cspan class='resource-audience'\u003eFor Teachers\u003c/span\u003e\n\u003ci class='lp-icon fa-regular fa-graduation-cap'\u003e\u003c/i\u003e\n\u003cspan class='resource-grade'\u003e9th - 12th\u003c/span\u003e\n\u003ci class='lp-icon fa-regular fa-circle-check'\u003e\u003c/i\u003e\n\u003cspan class='resource-standards'\u003eStandards\u003c/span\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-description-wrap'\u003e\n\u003cdiv class='resource-description'\u003e\nPupils practice examining the tangent to a function to estimate the value of the function near the point of tangency. They view errors associated with those approximations, determine overestimates and find intervals that guarantee a...\n\u003c/div\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-actions bg-white'\u003e\n\u003ca class=\"btn btn-default btn-xs text-xs free-access-btn upgrade-btn\" title=\"Get Free Access to Linear Approximation Lesson plan\" data-track-click=\"Search result free access button\" data-track-label=\"Search Page\" data-remote=\"true\" href=\"/subscription/new?signup_resource_id=541211\"\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=\"Linear Approximation Lesson plan\" href=\"/teachers/linear-approximation\"\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='481126' data-item-type='CollectionItemResource' data-type='Resource'\u003e\n\u003cdiv class='add-to-builder' data-id='481126' data-item-type='CollectionItemResource' data-type='Resource'\u003e\n\u003cdiv class='resource-card-add-button'\u003e\n\u003cspan class='plus'\u003e+\u003c/span\u003e\n\u003cspan class='lp-icon-check fa-solid fa-check'\u003e\u003c/span\u003e\n\u003c/div\u003e\n\u003c/div\u003e\n\n\u003cdiv class='panel panel-default panel-resource mb-0'\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=\"Calculus Lesson plan\" href=\"/teachers/calculus\"\u003e\u003cimg class=\"resource-img img-thumbnail img-responsive lozad\" alt=\"Calculus Lesson Plan\" title=\"Calculus Lesson Plan\" onError=\"handleImageNotLoadedError(this)\" data-default-image=\"https://d15y2dacu3jp90.cloudfront.net/images/attachment_defaults/resource/large/missing.png\" data-src=\"//content.lessonplanet.com/resources/thumbnails/148766/large/ndgxmti2lmpwzw.jpg?1414249394\" width=\"315\" height=\"220\" src=\"data:image/png;base64,R0lGODlhAQABAAD/ACwAAAAAAQABAAACADs\" /\u003e\n\u003c/a\u003e\u003ci class='fa-solid fa-image fa-6x thumb-img-wrap-icon'\u003e\u003c/i\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-info-wrap'\u003e\n\u003cdiv class='resource-info'\u003e\n\u003cdiv class='resource-info-top overflow-hidden text-ellipsis'\u003e\n\u003cspan class='resource-pool-tag'\u003eCurated OER\u003c/span\u003e\n\u003c/div\u003e\n\u003ch4 class='resource-title' title='Calculus'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Calculus Lesson plan\" href=\"/teachers/calculus\"\u003eCalculus\n\u003c/a\u003e\u003c/h4\u003e\n\u003cdiv class='resource-meta text-xs text-gray-600 overflow-hidden text-ellipsis'\u003e\n\u003ci class='lp-icon fa-solid fa-user'\u003e\u003c/i\u003e\n\u003cspan class='resource-audience'\u003eFor Teachers\u003c/span\u003e\n\u003ci class='lp-icon fa-regular fa-graduation-cap'\u003e\u003c/i\u003e\n\u003cspan class='resource-grade'\u003e10th - Higher Ed\u003c/span\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-description-wrap'\u003e\n\u003cdiv class='resource-description'\u003e\nStudents make an inquiry with the aid of technology into the concept of functions. The emphasis of the activity is on the interplay between the geometric and analytic information.\n\u003c/div\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-actions bg-white'\u003e\n\u003ca class=\"btn btn-default btn-xs text-xs free-access-btn upgrade-btn\" title=\"Get Free Access to Calculus Lesson plan\" data-track-click=\"Search result free access button\" data-track-label=\"Search Page\" data-remote=\"true\" href=\"/subscription/new?signup_resource_id=481126\"\u003e\u003ci class='fa-regular fa-eye'\u003e\u003c/i\u003e\n\u003cspan class='button-text'\u003eGet Free Access\u003c/span\u003e\n\u003c/a\u003e\u003ca class=\"btn btn-default btn-xs text-xs trk-show-resource\" title=\"Calculus Lesson plan\" href=\"/teachers/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='601984' data-item-type='CollectionItemResource' data-type='Resource'\u003e\n\u003cdiv class='add-to-builder' data-id='601984' data-item-type='CollectionItemResource' data-type='Resource'\u003e\n\u003cdiv class='resource-card-add-button'\u003e\n\u003cspan class='plus'\u003e+\u003c/span\u003e\n\u003cspan class='lp-icon-check fa-solid fa-check'\u003e\u003c/span\u003e\n\u003c/div\u003e\n\u003c/div\u003e\n\n\u003cdiv class='panel panel-default panel-resource mb-0'\u003e\n\u003cdiv class='resource-card-loader'\u003e\u003c/div\u003e\n\u003cdiv class='resource-type-banner'\u003e\n\u003cdiv class=\"type-resource type-worksheet\"\u003e\u003ci class=\"fa-solid fa-pen-to-square resource-icon\"\u003e\u003c/i\u003e\u003cspan class=\"ml-5 relative z-10\"\u003eWorksheet\u003c/span\u003e\u003cspan class=\"resource-bg\"\u003e\u003c/span\u003e\u003c/div\u003e\n\u003c/div\u003e\n\u003cdiv class='thumb-img-wrap-width-helper'\u003e\u003c/div\u003e\n\u003cdiv class='thumb-img-wrap'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Euler\u0026#39;s Method Worksheet\" href=\"/teachers/eulers-method\"\u003e\u003cimg class=\"resource-img img-thumbnail img-responsive lozad\" alt=\"Euler\u0026#39;s Method Worksheet\" title=\"Euler\u0026#39;s Method Worksheet\" onError=\"handleImageNotLoadedError(this)\" data-default-image=\"https://d15y2dacu3jp90.cloudfront.net/images/attachment_defaults/resource/large/FPO-pdf.png\" data-src=\"//content.lessonplanet.com/resources/thumbnails/27970/large/bwluav9tywdpy2symde3mdmymi0zmjy0oc0xzjnhdmnrlmpwzw.jpg?1490168937\" width=\"315\" height=\"220\" src=\"data:image/png;base64,R0lGODlhAQABAAD/ACwAAAAAAQABAAACADs\" /\u003e\n\u003c/a\u003e\u003ci class='fa-solid fa-image fa-6x thumb-img-wrap-icon'\u003e\u003c/i\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-info-wrap'\u003e\n\u003cdiv class='resource-info'\u003e\n\u003cdiv class='resource-info-top overflow-hidden text-ellipsis'\u003e\n\u003cspan class='resource-pool-tag'\u003eCurated OER\u003c/span\u003e\n\u003c/div\u003e\n\u003ch4 class='resource-title' title='Euler\u0026#39;s Method'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Euler\u0026#39;s Method Worksheet\" href=\"/teachers/eulers-method\"\u003eEuler's Method\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'\u003e12th - Higher Ed\u003c/span\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-description-wrap'\u003e\n\u003cdiv class='resource-description'\u003e\nIn this calculus worksheet, learners answer 14 short-answer questions regarding Euler's Method, rate equations, initial conditions, and slope functions.\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 Euler\u0026#39;s Method Worksheet\" data-track-click=\"Search result free access button\" data-track-label=\"Search Page\" data-remote=\"true\" href=\"/subscription/new?signup_resource_id=601984\"\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=\"Euler\u0026#39;s Method Worksheet\" href=\"/teachers/eulers-method\"\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='1284724' data-item-type='CollectionItemResource' data-type='Resource'\u003e\n\u003cdiv class='add-to-builder' data-id='1284724' data-item-type='CollectionItemResource' data-type='Resource'\u003e\n\u003cdiv class='resource-card-add-button'\u003e\n\u003cspan class='plus'\u003e+\u003c/span\u003e\n\u003cspan class='lp-icon-check fa-solid fa-check'\u003e\u003c/span\u003e\n\u003c/div\u003e\n\u003c/div\u003e\n\n\u003cdiv class='panel panel-default panel-resource mb-0'\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=\"Analyze Math: Linear Approximation of Functions Activity\" href=\"/teachers/analyze-math-linear-approximation-of-functions\"\u003e\u003cimg class=\"resource-img img-thumbnail img-responsive lozad\" alt=\"Analyze Math: Linear Approximation of Functions Activity\" title=\"Analyze Math: Linear Approximation of Functions Activity\" onError=\"handleImageNotLoadedError(this)\" data-default-image=\"https://d15y2dacu3jp90.cloudfront.net/images/attachment_defaults/resource/large/FPO-knovation.png\" data-src=\"https://content.lessonplanet.com/knovation/original/486148-b536c2ee9be7749b8504572768a14be6.jpg?1661519840\" 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'\u003eAnalyze Math\u003c/span\u003e\n\u003c/div\u003e\n\u003ch4 class='resource-title' title='Analyze Math: Linear Approximation of Functions'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Analyze Math: Linear Approximation of Functions Activity\" href=\"/teachers/analyze-math-linear-approximation-of-functions\"\u003eAnalyze Math: Linear Approximation of 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\u003c/div\u003e\n\u003cdiv class='resource-description-wrap'\u003e\n\u003cdiv class='resource-description'\u003e\nStudents learn about linear approximation. The tutorial consists of examples with detailed solutions.\n\u003c/div\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-actions bg-white'\u003e\n\u003ca class=\"btn btn-default btn-xs text-xs free-access-btn upgrade-btn\" title=\"Get Free Access to Analyze Math: Linear Approximation of Functions Activity\" data-track-click=\"Search result free access button\" data-track-label=\"Search Page\" data-remote=\"true\" href=\"/subscription/new?signup_resource_id=1284724\"\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=\"Analyze Math: Linear Approximation of Functions Activity\" href=\"/teachers/analyze-math-linear-approximation-of-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='1208333' data-item-type='CollectionItemResource' data-type='Resource'\u003e\n\u003cdiv class='add-to-builder' data-id='1208333' data-item-type='CollectionItemResource' data-type='Resource'\u003e\n\u003cdiv class='resource-card-add-button'\u003e\n\u003cspan class='plus'\u003e+\u003c/span\u003e\n\u003cspan class='lp-icon-check fa-solid fa-check'\u003e\u003c/span\u003e\n\u003c/div\u003e\n\u003c/div\u003e\n\n\u003cdiv class='panel panel-default panel-resource mb-0'\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: Calculus Iii: Applications of Partial Derivatives Activity\" href=\"/teachers/paul-s-online-notes-calculus-iii-applications-of-partial-derivatives\"\u003e\u003cimg class=\"resource-img img-thumbnail img-responsive lozad\" alt=\"Paul\u0026#39;s Online Notes: Calculus Iii: Applications of Partial Derivatives Activity\" title=\"Paul\u0026#39;s Online Notes: Calculus Iii: Applications of Partial Derivatives Activity\" onError=\"handleImageNotLoadedError(this)\" data-default-image=\"https://d15y2dacu3jp90.cloudfront.net/images/attachment_defaults/resource/large/FPO-knovation.png\" data-src=\"https://content.lessonplanet.com/knovation/original/192081-b754ed4a8aea34c51b4f5c8e89f3306e.jpg?1661515098\" width=\"315\" height=\"220\" src=\"data:image/png;base64,R0lGODlhAQABAAD/ACwAAAAAAQABAAACADs\" /\u003e\n\u003c/a\u003e\u003ci class='fa-solid fa-image fa-6x thumb-img-wrap-icon'\u003e\u003c/i\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-info-wrap'\u003e\n\u003cdiv class='resource-info'\u003e\n\u003cdiv class='resource-info-top overflow-hidden text-ellipsis'\u003e\n\u003cspan class='resource-pool-tag'\u003ePaul Dawkins\u003c/span\u003e\n\u003c/div\u003e\n\u003ch4 class='resource-title' title='Paul\u0026#39;s Online Notes: Calculus Iii: Applications of Partial Derivatives'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Paul\u0026#39;s Online Notes: Calculus Iii: Applications of Partial Derivatives Activity\" href=\"/teachers/paul-s-online-notes-calculus-iii-applications-of-partial-derivatives\"\u003ePaul's Online Notes: Calculus Iii: Applications of Partial Derivatives\n\u003c/a\u003e\u003c/h4\u003e\n\u003cdiv class='resource-meta text-xs text-gray-600 overflow-hidden text-ellipsis'\u003e\n\u003ci class='lp-icon fa-solid fa-user'\u003e\u003c/i\u003e\n\u003cspan class='resource-audience'\u003eFor Students\u003c/span\u003e\n\u003ci class='lp-icon fa-regular fa-graduation-cap'\u003e\u003c/i\u003e\n\u003cspan class='resource-grade'\u003e9th - 10th\u003c/span\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-description-wrap'\u003e\n\u003cdiv class='resource-description'\u003e\nThe resource examines applications of partial derivatives. Topics investigated are tangent planes, linear approximation, gradient vector, and Lagrange multipliers. Class notes, definitions, and examples with detailed solutions are...\n\u003c/div\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-actions bg-white'\u003e\n\u003ca class=\"btn btn-default btn-xs text-xs free-access-btn upgrade-btn\" title=\"Get Free Access to Paul\u0026#39;s Online Notes: Calculus Iii: Applications of Partial Derivatives Activity\" data-track-click=\"Search result free access button\" data-track-label=\"Search Page\" data-remote=\"true\" href=\"/subscription/new?signup_resource_id=1208333\"\u003e\u003ci class='fa-regular fa-eye'\u003e\u003c/i\u003e\n\u003cspan class='button-text'\u003eGet Free Access\u003c/span\u003e\n\u003c/a\u003e\u003ca class=\"btn btn-default btn-xs text-xs trk-show-resource\" title=\"Paul\u0026#39;s Online Notes: Calculus Iii: Applications of Partial Derivatives Activity\" href=\"/teachers/paul-s-online-notes-calculus-iii-applications-of-partial-derivatives\"\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='1208314' data-item-type='CollectionItemResource' data-type='Resource'\u003e\n\u003cdiv class='add-to-builder' data-id='1208314' data-item-type='CollectionItemResource' data-type='Resource'\u003e\n\u003cdiv class='resource-card-add-button'\u003e\n\u003cspan class='plus'\u003e+\u003c/span\u003e\n\u003cspan class='lp-icon-check fa-solid fa-check'\u003e\u003c/span\u003e\n\u003c/div\u003e\n\u003c/div\u003e\n\n\u003cdiv class='panel panel-default panel-resource mb-0'\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: Calculus I: Applications of Derivatives Activity\" href=\"/teachers/paul-s-online-notes-calculus-i-applications-of-derivatives\"\u003e\u003cimg class=\"resource-img img-thumbnail img-responsive lozad\" alt=\"Paul\u0026#39;s Online Notes: Calculus I: Applications of Derivatives Activity\" title=\"Paul\u0026#39;s Online Notes: Calculus I: Applications of Derivatives Activity\" onError=\"handleImageNotLoadedError(this)\" data-default-image=\"https://d15y2dacu3jp90.cloudfront.net/images/attachment_defaults/resource/large/FPO-knovation.png\" data-src=\"https://content.lessonplanet.com/knovation/original/192062-93f57b5486ff2c628b5e3859cc9137f8.jpg?1661515053\" width=\"315\" height=\"220\" src=\"data:image/png;base64,R0lGODlhAQABAAD/ACwAAAAAAQABAAACADs\" /\u003e\n\u003c/a\u003e\u003ci class='fa-solid fa-image fa-6x thumb-img-wrap-icon'\u003e\u003c/i\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-info-wrap'\u003e\n\u003cdiv class='resource-info'\u003e\n\u003cdiv class='resource-info-top overflow-hidden text-ellipsis'\u003e\n\u003cspan class='resource-pool-tag'\u003ePaul Dawkins\u003c/span\u003e\n\u003c/div\u003e\n\u003ch4 class='resource-title' title='Paul\u0026#39;s Online Notes: Calculus I: Applications of Derivatives'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Paul\u0026#39;s Online Notes: Calculus I: Applications of Derivatives Activity\" href=\"/teachers/paul-s-online-notes-calculus-i-applications-of-derivatives\"\u003ePaul's Online Notes: Calculus I: Applications of Derivatives\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\nLearners examine applications of derivatives. Topics investigated are rates of change, the mean value theorem, optimization problems, critical points, linear approximations, and Newton?s method. Class notes, definitions, and examples...\n\u003c/div\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-actions bg-white'\u003e\n\u003ca class=\"btn btn-default btn-xs text-xs free-access-btn upgrade-btn\" title=\"Get Free Access to Paul\u0026#39;s Online Notes: Calculus I: Applications of Derivatives Activity\" data-track-click=\"Search result free access button\" data-track-label=\"Search Page\" data-remote=\"true\" href=\"/subscription/new?signup_resource_id=1208314\"\u003e\u003ci class='fa-regular fa-eye'\u003e\u003c/i\u003e\n\u003cspan class='button-text'\u003eGet Free Access\u003c/span\u003e\n\u003c/a\u003e\u003ca class=\"btn btn-default btn-xs text-xs trk-show-resource\" title=\"Paul\u0026#39;s Online Notes: Calculus I: Applications of Derivatives Activity\" href=\"/teachers/paul-s-online-notes-calculus-i-applications-of-derivatives\"\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='1144466' data-item-type='CollectionItemResource' data-type='Resource'\u003e\n\u003cdiv class='add-to-builder' data-id='1144466' data-item-type='CollectionItemResource' data-type='Resource'\u003e\n\u003cdiv class='resource-card-add-button'\u003e\n\u003cspan class='plus'\u003e+\u003c/span\u003e\n\u003cspan class='lp-icon-check fa-solid fa-check'\u003e\u003c/span\u003e\n\u003c/div\u003e\n\u003c/div\u003e\n\n\u003cdiv class='panel panel-default panel-resource mb-0'\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=\"Ubc Calculus: Linear Approximations Activity\" href=\"/teachers/ubc-calculus-linear-approximations\"\u003e\u003cimg class=\"resource-img img-thumbnail img-responsive lozad\" alt=\"Ubc Calculus: Linear Approximations Activity\" title=\"Ubc Calculus: Linear Approximations Activity\" onError=\"handleImageNotLoadedError(this)\" data-default-image=\"https://d15y2dacu3jp90.cloudfront.net/images/attachment_defaults/resource/large/FPO-knovation.png\" data-src=\"https://content.lessonplanet.com/knovation/original/94723-1162c5516533752cf5d21b854f08c503.jpg?1661255151\" 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'\u003eUniversity of British Columbia\u003c/span\u003e\n\u003c/div\u003e\n\u003ch4 class='resource-title' title='Ubc Calculus: Linear Approximations'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Ubc Calculus: Linear Approximations Activity\" href=\"/teachers/ubc-calculus-linear-approximations\"\u003eUbc Calculus: Linear Approximations\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\nGood site on linear approximations. Examples and problems to aid the student in understanding the concepts\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 Ubc Calculus: Linear Approximations Activity\" data-track-click=\"Search result free access button\" data-track-label=\"Search Page\" data-remote=\"true\" href=\"/subscription/new?signup_resource_id=1144466\"\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=\"Ubc Calculus: Linear Approximations Activity\" href=\"/teachers/ubc-calculus-linear-approximations\"\u003e\u003ci class='fa-solid fa-list-ul'\u003e\u003c/i\u003e\n\u003cspan class='button-text'\u003eSee Review\u003c/span\u003e\n\u003c/a\u003e\u003c/div\u003e\n\u003c/div\u003e\n\u003c/div\u003e\n\u003c/div\u003e\n\n\u003c/div\u003e\n\n\n","pagination":"\u003cdiv class='text-center' id='search-pagination'\u003e\n\n\u003c/div\u003e\n"}