{"results":"<div class='relative search-result-item thumbnail-card' data-id='5441' data-is-require-teacher-acknowledgment='false' data-item-type='CollectionItemFolder' data-type='SharedCollection'>\n\n<div class='panel panel-default panel-resource mb-0 border-none'>\n<div class='resource-card-loader'></div>\n<div class='resource-type-banner folder-icon'>\n<div class=\"type-resource type-unit type-folder\"><span class=\"fa-lg banner-outer-icon resource-icon folder-icon resource-icon fa-stack\"><i class=\"fa-solid fa-solid fa-folder-blank fa-stack-1x\"></i><i class=\"fa-solid fa-square mr5 fa-stack-1x banner-inner-icon fa-stack-center\" style=\"transform: translateX(25%);\"></i></span><span class=\"resource-bg\"></span></div>\n<span class='item-count'>\n<span>73</span>\n<span>Items in Unit</span>\n</span>\n</div>\n<div class='thumb-img-wrap-width-helper'></div>\n<div class='thumb-img-wrap'>\n<a class=\"trk-show-resource\" title=\"AP Calculus AB Unit 5: Analytical Applications of Differentiation Unit\" href=\"/collections/ap-calculus-ab-unit-5-analytical-applications-of-differentiation\"><img title=\"AP Calculus AB Unit 5: Analytical Applications of Differentiation\" alt=\"AP Calculus AB Unit 5: Analytical Applications of Differentiation\" class=\"img-responsive resource-img lozad\" id=\"js-collection-thumbnail\" data-default-image=\"https://statictemp.lp.lexp.cloud/images/attachment_defaults/collection/default.png\" data-src=\"//lessonplanet.com/content/resources/thumbnails/446206/large/bwluav9tywdpy2symdixmdexmy0xmjm2mi0xewe3ztzrlmpwzw.jpg?1610553140\" onError=\"handleImageNotLoadedError(this)\" width=\"315\" height=\"220\" src=\"data:image/png;base64,R0lGODlhAQABAAD/ACwAAAAAAQABAAACADs\" />\n</a><i class='fa-solid fa-image fa-6x thumb-img-wrap-icon'></i>\n</div>\n<div class='resource-info-wrap'>\n<div class='resource-info'>\n<div class='resource-info-top overflow-hidden text-ellipsis'>\n<span class='resource-pool-tag'>Lesson Planet Curated</span>\n</div>\n<h4 class='resource-title' title='AP Calculus AB Unit 5: Analytical Applications of Differentiation'>\n<a class=\"trk-show-resource\" title=\"AP Calculus AB Unit 5: Analytical Applications of Differentiation Unit\" href=\"/collections/ap-calculus-ab-unit-5-analytical-applications-of-differentiation\">AP Calculus AB Unit 5: Analytical Applications of Differentiation\n</a></h4>\n<div class='resource-meta text-xs text-gray-600 overflow-hidden text-ellipsis'>\n<i class='lp-icon fa-solid fa-user'></i>\n<span class='resource-audience'>For Students</span>\n<i class='lp-icon fa-regular fa-graduation-cap'></i>\n<span class='resource-grade'>11th - 12th</span>\n</div>\n<div class='resource-description-wrap'>\n<div class='resource-description'>\nFourteen lessons make up Unit 5 - Analytical Applications of Differentiation of the AP Calculus AB module. For each lesson, scholars watch a short video explaining a process and then complete provided practice problems to gain mastery....\n</div>\n</div>\n<div class='resource-actions bg-white'>\n<a class=\"btn btn-default btn-xs text-xs free-access-btn upgrade-btn\" title=\"Get Free Access to AP Calculus AB Unit 5: Analytical Applications of Differentiation Unit\" data-track-click=\"Search result free access button\" data-track-label=\"Search Page\" data-posthog-event=\"Signup: LP Signup Activity\" data-posthog-location=\"body_button_other\" data-remote=\"true\" href=\"/subscription/new?signup_resource_id=5441\"><i class='fa-regular fa-eye'></i>\n<span class='button-text'>Get Free Access</span>\n</a></div>\n</div>\n</div>\n</div>\n\n</div>\n\n<div class='relative search-result-item thumbnail-card' data-id='5531' data-is-require-teacher-acknowledgment='false' data-item-type='CollectionItemFolder' data-type='SharedCollection'>\n\n<div class='panel panel-default panel-resource mb-0 border-none'>\n<div class='resource-card-loader'></div>\n<div class='resource-type-banner folder-icon'>\n<div class=\"type-resource type-unit type-folder\"><span class=\"fa-lg banner-outer-icon resource-icon folder-icon resource-icon fa-stack\"><i class=\"fa-solid fa-solid fa-folder-blank fa-stack-1x\"></i><i class=\"fa-solid fa-square mr5 fa-stack-1x banner-inner-icon fa-stack-center\" style=\"transform: translateX(25%);\"></i></span><span class=\"resource-bg\"></span></div>\n<span class='item-count'>\n<span>73</span>\n<span>Items in Unit</span>\n</span>\n</div>\n<div class='thumb-img-wrap-width-helper'></div>\n<div class='thumb-img-wrap'>\n<a class=\"trk-show-resource\" title=\"AP Calculus AB Unit 6: Integration and Accumulation of Change Unit\" href=\"/collections/ap-calculus-ab-unit-6-integration-and-accumulation-of-change\"><img title=\"AP Calculus AB Unit 6: Integration and Accumulation of Change\" alt=\"AP Calculus AB Unit 6: Integration and Accumulation of Change\" class=\"img-responsive resource-img lozad\" id=\"js-collection-thumbnail\" data-default-image=\"https://statictemp.lp.lexp.cloud/images/attachment_defaults/collection/default.png\" data-src=\"//lessonplanet.com/content/resources/thumbnails/446592/large/bwluav9tywdpy2symdixmdiwms0xodcync10ynbhcjcuanbn.jpg?1612194976\" onError=\"handleImageNotLoadedError(this)\" width=\"315\" height=\"220\" src=\"data:image/png;base64,R0lGODlhAQABAAD/ACwAAAAAAQABAAACADs\" />\n</a><i class='fa-solid fa-image fa-6x thumb-img-wrap-icon'></i>\n</div>\n<div class='resource-info-wrap'>\n<div class='resource-info'>\n<div class='resource-info-top overflow-hidden text-ellipsis'>\n<span class='resource-pool-tag'>Lesson Planet Curated</span>\n</div>\n<h4 class='resource-title' title='AP Calculus AB Unit 6: Integration and Accumulation of Change'>\n<a class=\"trk-show-resource\" title=\"AP Calculus AB Unit 6: Integration and Accumulation of Change Unit\" href=\"/collections/ap-calculus-ab-unit-6-integration-and-accumulation-of-change\">AP Calculus AB Unit 6: Integration and Accumulation of Change\n</a></h4>\n<div class='resource-meta text-xs text-gray-600 overflow-hidden text-ellipsis'>\n<i class='lp-icon fa-solid fa-user'></i>\n<span class='resource-audience'>For Teachers</span>\n<i class='lp-icon fa-regular fa-graduation-cap'></i>\n<span class='resource-grade'>11th - 12th</span>\n</div>\n<div class='resource-description-wrap'>\n<div class='resource-description'>\nThe 14 lessons in the AP Calculus AB Unit 6: Integration and Accumulation of Change use informative videos to introduce the topic of each lesson and model procedures. Each resource packet includes a video, worksheets, practice solutions,...\n</div>\n</div>\n<div class='resource-actions bg-white'>\n<a class=\"btn btn-default btn-xs text-xs free-access-btn upgrade-btn\" title=\"Get Free Access to AP Calculus AB Unit 6: Integration and Accumulation of Change Unit\" data-track-click=\"Search result free access button\" data-track-label=\"Search Page\" data-posthog-event=\"Signup: LP Signup Activity\" data-posthog-location=\"body_button_other\" data-remote=\"true\" href=\"/subscription/new?signup_resource_id=5531\"><i class='fa-regular fa-eye'></i>\n<span class='button-text'>Get Free Access</span>\n</a></div>\n</div>\n</div>\n</div>\n\n</div>\n\n<div class='relative search-result-item thumbnail-card' data-id='4503' data-is-require-teacher-acknowledgment='false' data-item-type='CollectionItemFolder' data-type='SharedCollection'>\n\n<div class='panel panel-default panel-resource mb-0 border-none'>\n<div class='resource-card-loader'></div>\n<div class='resource-type-banner folder-icon'>\n<div class=\"type-resource type-topic type-folder\"><span class=\"fa-lg banner-outer-icon resource-icon folder-icon resource-icon fa-stack\"><i class=\"fa-solid fa-solid fa-folder-blank fa-stack-1x\"></i><i class=\"fa-solid fa-play mr5 fa-stack-1x banner-inner-icon fa-stack-center\" style=\"transform: translateX(25%);\"></i></span><span class=\"resource-bg\"></span></div>\n<span class='item-count'>\n<span>38</span>\n<span>Items in Topic</span>\n</span>\n</div>\n<div class='thumb-img-wrap-width-helper'></div>\n<div class='thumb-img-wrap'>\n<a class=\"trk-show-resource\" title=\"AP Calculus AB Topic\" href=\"/collections/ap-calculus-ab\"><img title=\"AP Calculus AB\" alt=\"AP Calculus AB\" class=\"img-responsive resource-img lozad\" id=\"js-collection-thumbnail\" data-default-image=\"https://statictemp.lp.lexp.cloud/images/attachment_defaults/collection/default.png\" data-src=\"//lessonplanet.com/content/resources/thumbnails/334360/large/bwluav9tywdpy2symde3mdewmy0ymjiwmy14axp5zhyuanbn.jpg?1483460345\" onError=\"handleImageNotLoadedError(this)\" width=\"315\" height=\"220\" src=\"data:image/png;base64,R0lGODlhAQABAAD/ACwAAAAAAQABAAACADs\" />\n</a><i class='fa-solid fa-image fa-6x thumb-img-wrap-icon'></i>\n</div>\n<div class='resource-info-wrap'>\n<div class='resource-info'>\n<div class='resource-info-top overflow-hidden text-ellipsis'>\n<span class='resource-pool-tag'>Lesson Planet Curated</span>\n</div>\n<h4 class='resource-title' title='AP Calculus AB'>\n<a class=\"trk-show-resource\" title=\"AP Calculus AB Topic\" href=\"/collections/ap-calculus-ab\">AP Calculus AB\n</a></h4>\n<div class='resource-meta text-xs text-gray-600 overflow-hidden text-ellipsis'>\n<i class='lp-icon fa-solid fa-user'></i>\n<span class='resource-audience'>For Students</span>\n<i class='lp-icon fa-regular fa-graduation-cap'></i>\n<span class='resource-grade'>11th - 12th</span>\n</div>\n<div class='resource-description-wrap'>\n<div class='resource-description'>\nPrepare high school mathematicians for the AP Calculus AB exam with a collection of 38 videos that can be used to introduce the topics or as a review. The videos focus on two processes; differentiating a function and integrating a...\n</div>\n</div>\n<div class='resource-actions bg-white'>\n<a class=\"btn btn-default btn-xs text-xs free-access-btn upgrade-btn\" title=\"Get Free Access to AP Calculus AB Topic\" data-track-click=\"Search result free access button\" data-track-label=\"Search Page\" data-posthog-event=\"Signup: LP Signup Activity\" data-posthog-location=\"body_button_other\" data-remote=\"true\" href=\"/subscription/new?signup_resource_id=4503\"><i class='fa-regular fa-eye'></i>\n<span class='button-text'>Get Free Access</span>\n</a></div>\n</div>\n</div>\n</div>\n\n</div>\n\n<div class='relative search-result-item thumbnail-card no-access' data-id='1008294' data-is-require-teacher-acknowledgment='false' data-item-type='CollectionItemResource' data-type='Resource'>\n\n<div class='panel panel-default panel-resource mb-0 border-none'>\n<div class='resource-card-loader'></div>\n<div class='resource-type-banner'>\n<div class=\"type-resource type-instructional-video\"><i class=\"fa-solid fa-circle-play resource-icon\"></i><span class=\"ml-5 relative z-10\">Instructional Video</span><span class=\"ml10 z-10 video-duration\">16:48</span><span class=\"resource-bg\"></span></div>\n</div>\n<div class='thumb-img-wrap-width-helper'></div>\n<div class='thumb-img-wrap'>\n<a class=\"trk-show-resource\" title=\"Mean Value Theorem, Derivative Applications, Differential Calculus Instructional video\" href=\"/teachers/mean-value-theorem-derivative-applications-differential-calculus\"><img class=\"resource-img img-thumbnail img-responsive lozad\" alt=\"Mean Value Theorem, Derivative Applications, Differential Calculus Instructional Video\" title=\"Mean Value Theorem, Derivative Applications, Differential Calculus Instructional Video\" onError=\"handleImageNotLoadedError(this)\" data-default-image=\"https://statictemp.lp.lexp.cloud/images/attachment_defaults/resource/large/missing.png\" data-src=\"//lessonplanet.com/content/resources/thumbnails/49537/large/u2nyzwvuc2hvdf8ymdi1ltazlte1x2f0xzexlja1lja44ocvqu0ucg5n.png?1742061927\" width=\"315\" height=\"220\" src=\"data:image/png;base64,R0lGODlhAQABAAD/ACwAAAAAAQABAAACADs\" />\n</a><i class='fa-solid fa-image fa-6x thumb-img-wrap-icon'></i>\n</div>\n<div class='resource-info-wrap'>\n<div class='resource-info'>\n<div class='resource-info-top overflow-hidden text-ellipsis'>\n<span class='resource-pool-tag'>Khan Academy</span>\n</div>\n<h4 class='resource-title' title='Mean Value Theorem, Derivative Applications, Differential Calculus'>\n<a class=\"trk-show-resource\" title=\"Mean Value Theorem, Derivative Applications, Differential Calculus Instructional video\" href=\"/teachers/mean-value-theorem-derivative-applications-differential-calculus\">Mean Value Theorem, Derivative Applications, Differential Calculus\n</a></h4>\n<div class='resource-meta text-xs text-gray-600 overflow-hidden text-ellipsis'>\n<i class='lp-icon fa-solid fa-user'></i>\n<span class='resource-audience'>For Students</span>\n<i class='lp-icon fa-regular fa-graduation-cap'></i>\n<span class='resource-grade'>11th - Higher Ed</span>\n</div>\n<div class='resource-description-wrap'>\n<div class='resource-description'>\nSal spends most of this video explaining the Mean Value Theorem in a very intuitive way. He follows this with a concrete example of finding the value of a function on a closed interval where the slope is the same as the average slope of...\n</div>\n</div>\n<div class='resource-actions bg-white'>\n<a class=\"btn btn-default btn-xs text-xs free-access-btn upgrade-btn\" title=\"Get Free Access to Mean Value Theorem, Derivative Applications, Differential Calculus 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=1008294\"><i class='fa-regular fa-eye'></i>\n<span class='button-text'>Get Free Access</span>\n</a><a class=\"btn btn-default btn-xs text-xs trk-show-resource\" title=\"Mean Value Theorem, Derivative Applications, Differential Calculus Instructional video\" href=\"/teachers/mean-value-theorem-derivative-applications-differential-calculus\"><i class='fa-solid fa-list-ul'></i>\n<span class='button-text'>See Review</span>\n</a></div>\n</div>\n</div>\n</div>\n\n</div>\n\n\n<div class='relative search-result-item thumbnail-card no-access' data-id='1075762' data-is-require-teacher-acknowledgment='false' data-item-type='CollectionItemResource' data-type='Resource'>\n\n<div class='panel panel-default panel-resource mb-0 border-none'>\n<div class='resource-card-loader'></div>\n<div class='resource-type-banner'>\n<div class=\"type-resource type-ap-test-prep\"><i class=\"fa-solid fa-file resource-icon\"></i><span class=\"ml-5 relative z-10\">AP Test Prep</span><span class=\"resource-bg\"></span></div>\n<span class='collection-count'>\n<span class='hide-on-hover'>\n<span class='fa-stack'>\n<i class='fa-stack-1x fa-solid fa-folder-blank'></i>\n<i class='fa-stack-1x fa-solid fa-play inner-icon'></i>\n</span>\n<div class='sc-count'>1</div>\n</span>\n<span class='show-on-hover flex items-center'>\n<span class='fa-stack mr-1'>\n<i class='fa-stack-1x fa-solid fa-folder-blank'></i>\n<i class='fa-stack-1x fa-solid fa-play inner-icon'></i>\n</span>\n<span class='inline-block laptop-l:hidden'>\n1\n</span>\n<span class='hidden laptop-l:inline-block'>\nIn 1 Collection\n</span>\n</span>\n</span>\n</div>\n<div class='thumb-img-wrap-width-helper'></div>\n<div class='thumb-img-wrap'>\n<a class=\"trk-show-resource\" title=\"Calculus AB/BC - Using the Mean Value Theorem Ap test prep\" href=\"/teachers/calculus-ab-bc-using-the-mean-value-theorem\"><img class=\"resource-img img-thumbnail img-responsive lozad\" alt=\"Calculus AB/BC - Using the Mean Value Theorem AP Test Prep\" title=\"Calculus AB/BC - Using the Mean Value Theorem AP Test Prep\" onError=\"handleImageNotLoadedError(this)\" data-default-image=\"https://statictemp.lp.lexp.cloud/images/attachment_defaults/resource/large/missing.png\" data-src=\"//lessonplanet.com/content/resources/thumbnails/446206/large/bwluav9tywdpy2symdixmdexmy0xmjm2mi0xewe3ztzrlmpwzw.jpg?1610553140\" width=\"315\" height=\"220\" src=\"data:image/png;base64,R0lGODlhAQABAAD/ACwAAAAAAQABAAACADs\" />\n</a><i class='fa-solid fa-image fa-6x thumb-img-wrap-icon'></i>\n</div>\n<div class='resource-info-wrap'>\n<div class='resource-info'>\n<div class='resource-info-top overflow-hidden text-ellipsis'>\n<span class='resource-pool-tag'>Flipped Math</span>\n</div>\n<h4 class='resource-title' title='Calculus AB/BC - Using the Mean Value Theorem'>\n<a class=\"trk-show-resource\" title=\"Calculus AB/BC - Using the Mean Value Theorem Ap test prep\" href=\"/teachers/calculus-ab-bc-using-the-mean-value-theorem\">Calculus AB/BC - Using the Mean Value Theorem\n</a></h4>\n<div class='resource-meta text-xs text-gray-600 overflow-hidden text-ellipsis'>\n<i class='lp-icon fa-solid fa-user'></i>\n<span class='resource-audience'>For Students</span>\n<i class='lp-icon fa-regular fa-graduation-cap'></i>\n<span class='resource-grade'>10th - 12th</span>\n</div>\n<div class='resource-description-wrap'>\n<div class='resource-description'>\nAt some point the rate of change must be the average. Pupils first see the definition of the Mean Value Theorem and hear an explanation of it in simple terms. The helpful video then compares the Mean Value Theorem with the Intermediate...\n</div>\n</div>\n<div class='resource-actions bg-white'>\n<a class=\"btn btn-default btn-xs text-xs free-access-btn upgrade-btn\" title=\"Get Free Access to Calculus AB/BC - Using the Mean Value Theorem Ap test prep\" data-track-click=\"Search result free access button\" data-track-label=\"Search Page\" data-posthog-event=\"Signup: LP Signup Activity\" data-posthog-location=\"body_button_other\" data-remote=\"true\" href=\"/subscription/new?signup_resource_id=1075762\"><i class='fa-regular fa-eye'></i>\n<span class='button-text'>Get Free Access</span>\n</a><a class=\"btn btn-default btn-xs text-xs trk-show-resource\" title=\"Calculus AB/BC - Using the Mean Value Theorem Ap test prep\" href=\"/teachers/calculus-ab-bc-using-the-mean-value-theorem\"><i class='fa-solid fa-list-ul'></i>\n<span class='button-text'>See Review</span>\n</a></div>\n</div>\n</div>\n</div>\n\n</div>\n\n\n<div class='relative search-result-item thumbnail-card no-access' data-id='1061880' data-is-require-teacher-acknowledgment='false' data-item-type='CollectionItemResource' data-type='Resource'>\n\n<div class='panel panel-default panel-resource mb-0 border-none'>\n<div class='resource-card-loader'></div>\n<div class='resource-type-banner'>\n<div class=\"type-resource type-interactive\"><i class=\"fa-solid fa-hand resource-icon\"></i><span class=\"ml-5 relative z-10\">Interactive</span><span class=\"resource-bg\"></span></div>\n</div>\n<div class='thumb-img-wrap-width-helper'></div>\n<div class='thumb-img-wrap'>\n<a class=\"trk-show-resource\" title=\"Derivatives with Mean Value Theorem and Rolle&#39;s Theorem: Maxima and Minima Interactive\" href=\"/teachers/derivatives-with-mean-value-theorem-and-rolles-theorem-maxima-and-minima\"><img class=\"resource-img img-thumbnail img-responsive lozad\" alt=\"Derivatives with Mean Value Theorem and Rolle&#39;s Theorem: Maxima and Minima Interactive\" title=\"Derivatives with Mean Value Theorem and Rolle&#39;s Theorem: Maxima and Minima Interactive\" onError=\"handleImageNotLoadedError(this)\" data-default-image=\"https://statictemp.lp.lexp.cloud/images/attachment_defaults/resource/large/missing.png\" data-src=\"//lessonplanet.com/content/resources/thumbnails/340758/large/u2nyzwvux1nob3rfmjaxny0xms0wov9hdf84ljeyljmyx0fnlnbuzw.png?1510243973\" width=\"315\" height=\"220\" src=\"data:image/png;base64,R0lGODlhAQABAAD/ACwAAAAAAQABAAACADs\" />\n</a><i class='fa-solid fa-image fa-6x thumb-img-wrap-icon'></i>\n</div>\n<div class='resource-info-wrap'>\n<div class='resource-info'>\n<div class='resource-info-top overflow-hidden text-ellipsis'>\n<span class='resource-pool-tag'>CK-12 Foundation</span>\n</div>\n<h4 class='resource-title' title='Derivatives with Mean Value Theorem and Rolle&#39;s Theorem: Maxima and Minima'>\n<a class=\"trk-show-resource\" title=\"Derivatives with Mean Value Theorem and Rolle&#39;s Theorem: Maxima and Minima Interactive\" href=\"/teachers/derivatives-with-mean-value-theorem-and-rolles-theorem-maxima-and-minima\">Derivatives with Mean Value Theorem and Rolle's Theorem: Maxima and Minima\n</a></h4>\n<div class='resource-meta text-xs text-gray-600 overflow-hidden text-ellipsis'>\n<i class='lp-icon fa-solid fa-user'></i>\n<span class='resource-audience'>For Students</span>\n<i class='lp-icon fa-regular fa-graduation-cap'></i>\n<span class='resource-grade'>11th - Higher Ed</span>\n</div>\n<div class='resource-description-wrap'>\n<div class='resource-description'>\nRolle with the mean values and derivatives. Scholars complete the statements of Rolle's Theorem and the Mean Value Theorem. Using the interactive to illustrate scenarios, pupils respond to questions concerning the theorems in terms of...\n</div>\n</div>\n<div class='resource-actions bg-white'>\n<a class=\"btn btn-default btn-xs text-xs free-access-btn upgrade-btn\" title=\"Get Free Access to Derivatives with Mean Value Theorem and Rolle&#39;s Theorem: Maxima and Minima 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_resources_tab\" data-remote=\"true\" href=\"/subscription/new?signup_resource_id=1061880\"><i class='fa-regular fa-eye'></i>\n<span class='button-text'>Get Free Access</span>\n</a><a class=\"btn btn-default btn-xs text-xs trk-show-resource\" title=\"Derivatives with Mean Value Theorem and Rolle&#39;s Theorem: Maxima and Minima Interactive\" href=\"/teachers/derivatives-with-mean-value-theorem-and-rolles-theorem-maxima-and-minima\"><i class='fa-solid fa-list-ul'></i>\n<span class='button-text'>See Review</span>\n</a></div>\n</div>\n</div>\n</div>\n\n</div>\n\n\n<div class='relative search-result-item thumbnail-card no-access' data-id='1054916' data-is-require-teacher-acknowledgment='false' data-item-type='CollectionItemResource' data-type='Resource'>\n\n<div class='panel panel-default panel-resource mb-0 border-none'>\n<div class='resource-card-loader'></div>\n<div class='resource-type-banner'>\n<div class=\"type-resource type-instructional-video\"><i class=\"fa-solid fa-circle-play resource-icon\"></i><span class=\"ml-5 relative z-10\">Instructional Video</span><span class=\"ml10 z-10 video-duration\">4:35</span><span class=\"resource-bg\"></span></div>\n<span class='collection-count'>\n<span class='hide-on-hover'>\n<span class='fa-stack'>\n<i class='fa-stack-1x fa-solid fa-folder-blank'></i>\n<i class='fa-stack-1x fa-solid fa-play inner-icon'></i>\n</span>\n<div class='sc-count'>1</div>\n</span>\n<span class='show-on-hover flex items-center'>\n<span class='fa-stack mr-1'>\n<i class='fa-stack-1x fa-solid fa-folder-blank'></i>\n<i class='fa-stack-1x fa-solid fa-play inner-icon'></i>\n</span>\n<span class='inline-block laptop-l:hidden'>\n1\n</span>\n<span class='hidden laptop-l:inline-block'>\nIn 1 Collection\n</span>\n</span>\n</span>\n</div>\n<div class='thumb-img-wrap-width-helper'></div>\n<div class='thumb-img-wrap'>\n<a class=\"trk-show-resource\" title=\"The Mean Value Theorem Instructional video\" href=\"/teachers/the-mean-value-theorem-11th-higher-ed\"><img class=\"resource-img img-thumbnail img-responsive lozad\" alt=\"The Mean Value Theorem Instructional Video\" title=\"The Mean Value Theorem Instructional Video\" onError=\"handleImageNotLoadedError(this)\" data-default-image=\"https://statictemp.lp.lexp.cloud/images/attachment_defaults/resource/large/missing.png\" data-src=\"//lessonplanet.com/content/resources/thumbnails/79180/large/bwluav9tywdpy2symde3mdmymy0xmzixltfketzuym4uanbn.jpg?1490304875\" width=\"315\" height=\"220\" src=\"data:image/png;base64,R0lGODlhAQABAAD/ACwAAAAAAQABAAACADs\" />\n</a><i class='fa-solid fa-image fa-6x thumb-img-wrap-icon'></i>\n</div>\n<div class='resource-info-wrap'>\n<div class='resource-info'>\n<div class='resource-info-top overflow-hidden text-ellipsis'>\n<span class='resource-pool-tag'>Educator.com</span>\n</div>\n<h4 class='resource-title' title='The Mean Value Theorem'>\n<a class=\"trk-show-resource\" title=\"The Mean Value Theorem Instructional video\" href=\"/teachers/the-mean-value-theorem-11th-higher-ed\">The Mean Value Theorem\n</a></h4>\n<div class='resource-meta text-xs text-gray-600 overflow-hidden text-ellipsis'>\n<i class='lp-icon fa-solid fa-user'></i>\n<span class='resource-audience'>For Students</span>\n<i class='lp-icon fa-regular fa-graduation-cap'></i>\n<span class='resource-grade'>11th - Higher Ed</span>\n</div>\n<div class='resource-description-wrap'>\n<div class='resource-description'>\nAP Calculus students examine the procedure for determining if the Mean Value Theorem applies to a given function.&nbsp;with a video that discusses the requirements needed. The instructor&nbsp;approaches the problem from both a graphical...\n</div>\n</div>\n<div class='resource-actions bg-white'>\n<a class=\"btn btn-default btn-xs text-xs free-access-btn upgrade-btn\" title=\"Get Free Access to The Mean Value Theorem 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=1054916\"><i class='fa-regular fa-eye'></i>\n<span class='button-text'>Get Free Access</span>\n</a><a class=\"btn btn-default btn-xs text-xs trk-show-resource\" title=\"The Mean Value Theorem Instructional video\" href=\"/teachers/the-mean-value-theorem-11th-higher-ed\"><i class='fa-solid fa-list-ul'></i>\n<span class='button-text'>See Review</span>\n</a></div>\n</div>\n</div>\n</div>\n\n</div>\n\n\n<div class='relative search-result-item thumbnail-card no-access' data-id='601911' data-is-require-teacher-acknowledgment='false' data-item-type='CollectionItemResource' data-type='Resource'>\n\n<div class='panel panel-default panel-resource mb-0 border-none'>\n<div class='resource-card-loader'></div>\n<div class='resource-type-banner'>\n<div class=\"type-resource type-worksheet\"><i class=\"fa-solid fa-pen-to-square resource-icon\"></i><span class=\"ml-5 relative z-10\">Worksheet</span><span class=\"resource-bg\"></span></div>\n</div>\n<div class='thumb-img-wrap-width-helper'></div>\n<div class='thumb-img-wrap'>\n<a class=\"trk-show-resource\" title=\"Mean Value Theorem - An Application Worksheet\" href=\"/teachers/mean-value-theorem-an-application\"><img class=\"resource-img img-thumbnail img-responsive lozad\" alt=\"Mean Value Theorem - An Application Worksheet\" title=\"Mean Value Theorem - An Application Worksheet\" onError=\"handleImageNotLoadedError(this)\" data-default-image=\"https://statictemp.lp.lexp.cloud/images/attachment_defaults/resource/large/FPO-pdf.png\" data-src=\"//lessonplanet.com/content/resources/thumbnails/175711/large/cgrmlwnvbnzlcnqymdezmdmzmc0xmta4nc1rotfydi5qcgc.jpg?1414274790\" width=\"315\" height=\"220\" src=\"data:image/png;base64,R0lGODlhAQABAAD/ACwAAAAAAQABAAACADs\" />\n</a><i class='fa-solid fa-image fa-6x thumb-img-wrap-icon'></i>\n</div>\n<div class='resource-info-wrap'>\n<div class='resource-info'>\n<div class='resource-info-top overflow-hidden text-ellipsis'>\n<span class='resource-pool-tag'>Curated OER</span>\n</div>\n<h4 class='resource-title' title='Mean Value Theorem - An Application'>\n<a class=\"trk-show-resource\" title=\"Mean Value Theorem - An Application Worksheet\" href=\"/teachers/mean-value-theorem-an-application\">Mean Value Theorem - An Application\n</a></h4>\n<div class='resource-meta text-xs text-gray-600 overflow-hidden text-ellipsis'>\n<i class='lp-icon fa-solid fa-user'></i>\n<span class='resource-audience'>For Students</span>\n<i class='lp-icon fa-regular fa-graduation-cap'></i>\n<span class='resource-grade'>Higher Ed</span>\n</div>\n<div class='resource-description-wrap'>\n<div class='resource-description'>\nFor this mean value worksheet, students read a short story problem about driving from one city to another.  They use the given information and the mean value theorem to determine why an officer stopped the driver and issued a ticket. ...\n</div>\n</div>\n<div class='resource-actions bg-white'>\n<a class=\"btn btn-default btn-xs text-xs free-access-btn upgrade-btn\" title=\"Get Free Access to Mean Value Theorem - An Application Worksheet\" data-track-click=\"Search result free access button\" data-track-label=\"Search Page\" data-posthog-event=\"Signup: LP Signup Activity\" data-posthog-location=\"body_button_other\" data-remote=\"true\" href=\"/subscription/new?signup_resource_id=601911\"><i class='fa-regular fa-eye'></i>\n<span class='button-text'>Get Free Access</span>\n</a><a class=\"btn btn-default btn-xs text-xs trk-show-resource\" title=\"Mean Value Theorem - An Application Worksheet\" href=\"/teachers/mean-value-theorem-an-application\"><i class='fa-solid fa-list-ul'></i>\n<span class='button-text'>See Review</span>\n</a></div>\n</div>\n</div>\n</div>\n\n</div>\n\n\n<div class='relative search-result-item thumbnail-card no-access' data-id='602324' data-is-require-teacher-acknowledgment='false' data-item-type='CollectionItemResource' data-type='Resource'>\n\n<div class='panel panel-default panel-resource mb-0 border-none'>\n<div class='resource-card-loader'></div>\n<div class='resource-type-banner'>\n<div class=\"type-resource type-worksheet\"><i class=\"fa-solid fa-pen-to-square resource-icon\"></i><span class=\"ml-5 relative z-10\">Worksheet</span><span class=\"resource-bg\"></span></div>\n</div>\n<div class='thumb-img-wrap-width-helper'></div>\n<div class='thumb-img-wrap'>\n<a class=\"trk-show-resource\" title=\"Mean Value Theorem Worksheet\" href=\"/teachers/mean-value-theorem\"><img class=\"resource-img img-thumbnail img-responsive lozad\" alt=\"Mean Value Theorem Worksheet\" title=\"Mean Value Theorem Worksheet\" onError=\"handleImageNotLoadedError(this)\" data-default-image=\"https://statictemp.lp.lexp.cloud/images/attachment_defaults/resource/large/FPO-pdf.png\" data-src=\"//lessonplanet.com/content/resources/thumbnails/49539/large/bwluav9tywdpy2symde3mdmymi0yodczms02nnqzymyuanbn.jpg?1490225613\" width=\"315\" height=\"220\" src=\"data:image/png;base64,R0lGODlhAQABAAD/ACwAAAAAAQABAAACADs\" />\n</a><i class='fa-solid fa-image fa-6x thumb-img-wrap-icon'></i>\n</div>\n<div class='resource-info-wrap'>\n<div class='resource-info'>\n<div class='resource-info-top overflow-hidden text-ellipsis'>\n<span class='resource-pool-tag'>Curated OER</span>\n</div>\n<h4 class='resource-title' title='Mean Value Theorem'>\n<a class=\"trk-show-resource\" title=\"Mean Value Theorem Worksheet\" href=\"/teachers/mean-value-theorem\">Mean Value Theorem\n</a></h4>\n<div class='resource-meta text-xs text-gray-600 overflow-hidden text-ellipsis'>\n<i class='lp-icon fa-solid fa-user'></i>\n<span class='resource-audience'>For Students</span>\n<i class='lp-icon fa-regular fa-graduation-cap'></i>\n<span class='resource-grade'>12th - Higher Ed</span>\n</div>\n<div class='resource-description-wrap'>\n<div class='resource-description'>\nIn this Mean Value Theorem, students determine values of a function.  They identify the domain, main, maximum and minimum values of a function.  This two-page instructional activity contains three problems.\n</div>\n</div>\n<div class='resource-actions bg-white'>\n<a class=\"btn btn-default btn-xs text-xs free-access-btn upgrade-btn\" title=\"Get Free Access to Mean Value Theorem Worksheet\" data-track-click=\"Search result free access button\" data-track-label=\"Search Page\" data-posthog-event=\"Signup: LP Signup Activity\" data-posthog-location=\"body_button_other\" data-remote=\"true\" href=\"/subscription/new?signup_resource_id=602324\"><i class='fa-regular fa-eye'></i>\n<span class='button-text'>Get Free Access</span>\n</a><a class=\"btn btn-default btn-xs text-xs trk-show-resource\" title=\"Mean Value Theorem Worksheet\" href=\"/teachers/mean-value-theorem\"><i class='fa-solid fa-list-ul'></i>\n<span class='button-text'>See Review</span>\n</a></div>\n</div>\n</div>\n</div>\n\n</div>\n\n\n<div class='relative search-result-item thumbnail-card no-access' data-id='871650' data-is-require-teacher-acknowledgment='false' data-item-type='CollectionItemResource' data-type='Resource'>\n\n<div class='panel panel-default panel-resource mb-0 border-none'>\n<div class='resource-card-loader'></div>\n<div class='resource-type-banner'>\n<div class=\"type-resource type-lesson-plan\"><i class=\"fa-solid fa-book resource-icon\"></i><span class=\"ml-5 relative z-10\">Lesson Plan</span><span class=\"resource-bg\"></span></div>\n</div>\n<div class='thumb-img-wrap-width-helper'></div>\n<div class='thumb-img-wrap'>\n<a class=\"trk-show-resource\" title=\"Mean Value Theorem Lesson plan\" href=\"/teachers/mean-value-theorem-9th-12th\"><img class=\"resource-img img-thumbnail img-responsive lozad\" alt=\"Mean Value Theorem Lesson Plan\" title=\"Mean Value Theorem Lesson Plan\" onError=\"handleImageNotLoadedError(this)\" data-default-image=\"https://statictemp.lp.lexp.cloud/images/attachment_defaults/resource/large/missing.png\" data-src=\"//lessonplanet.com/content/resources/thumbnails/49555/large/bwluav9tywdpy2symde3mdmymi0xnjuxmy1uzm0wztquanbn.jpg?1490225619\" width=\"315\" height=\"220\" src=\"data:image/png;base64,R0lGODlhAQABAAD/ACwAAAAAAQABAAACADs\" />\n</a><i class='fa-solid fa-image fa-6x thumb-img-wrap-icon'></i>\n</div>\n<div class='resource-info-wrap'>\n<div class='resource-info'>\n<div class='resource-info-top overflow-hidden text-ellipsis'>\n<span class='resource-pool-tag'>Texas Instruments</span>\n</div>\n<h4 class='resource-title' title='Mean Value Theorem'>\n<a class=\"trk-show-resource\" title=\"Mean Value Theorem Lesson plan\" href=\"/teachers/mean-value-theorem-9th-12th\">Mean Value Theorem\n</a></h4>\n<div class='resource-meta text-xs text-gray-600 overflow-hidden text-ellipsis'>\n<i class='lp-icon fa-solid fa-user'></i>\n<span class='resource-audience'>For Teachers</span>\n<i class='lp-icon fa-regular fa-graduation-cap'></i>\n<span class='resource-grade'>9th - 12th</span>\n<i class='lp-icon fa-regular fa-circle-check'></i>\n<span class='resource-standards'>Standards</span>\n</div>\n<div class='resource-description-wrap'>\n<div class='resource-description'>\nYoung scholars calculate the slopes of secant lines. In this calculus lesson, students graph tangent and secant lines using the coordinate plane. They use the Ti calculator to graph and observe the lines.\n</div>\n</div>\n<div class='resource-actions bg-white'>\n<a class=\"btn btn-default btn-xs text-xs free-access-btn upgrade-btn\" title=\"Get Free Access to Mean Value Theorem Lesson plan\" data-track-click=\"Search result free access button\" data-track-label=\"Search Page\" data-posthog-event=\"Signup: LP Signup Activity\" data-posthog-location=\"body_button_other\" data-remote=\"true\" href=\"/subscription/new?signup_resource_id=871650\"><i class='fa-regular fa-eye'></i>\n<span class='button-text'>Get Free Access</span>\n</a><a class=\"btn btn-default btn-xs text-xs trk-show-resource\" title=\"Mean Value Theorem Lesson plan\" href=\"/teachers/mean-value-theorem-9th-12th\"><i class='fa-solid fa-list-ul'></i>\n<span class='button-text'>See Review</span>\n</a></div>\n</div>\n</div>\n</div>\n\n</div>\n\n\n<div class='relative search-result-item thumbnail-card no-access' data-id='599454' data-is-require-teacher-acknowledgment='false' data-item-type='CollectionItemResource' data-type='Resource'>\n\n<div class='panel panel-default panel-resource mb-0 border-none'>\n<div class='resource-card-loader'></div>\n<div class='resource-type-banner'>\n<div class=\"type-resource type-lesson-plan\"><i class=\"fa-solid fa-book resource-icon\"></i><span class=\"ml-5 relative z-10\">Lesson Plan</span><span class=\"resource-bg\"></span></div>\n</div>\n<div class='thumb-img-wrap-width-helper'></div>\n<div class='thumb-img-wrap'>\n<a class=\"trk-show-resource\" title=\"Worksheet 15-Fall 1995 Lesson plan\" href=\"/teachers/worksheet-15-fall-1995\"><img class=\"resource-img img-thumbnail img-responsive lozad\" alt=\"Worksheet 15-Fall 1995 Lesson Plan\" title=\"Worksheet 15-Fall 1995 Lesson Plan\" onError=\"handleImageNotLoadedError(this)\" data-default-image=\"https://statictemp.lp.lexp.cloud/images/attachment_defaults/resource/large/FPO-pdf.png\" data-src=\"//lessonplanet.com/content/resources/thumbnails/174482/large/cgrmlwnvbnzlcnqymdezmdmzmc0zmti0lwlqd3lyes5qcgc.jpg?1414273964\" width=\"315\" height=\"220\" src=\"data:image/png;base64,R0lGODlhAQABAAD/ACwAAAAAAQABAAACADs\" />\n</a><i class='fa-solid fa-image fa-6x thumb-img-wrap-icon'></i>\n</div>\n<div class='resource-info-wrap'>\n<div class='resource-info'>\n<div class='resource-info-top overflow-hidden text-ellipsis'>\n<span class='resource-pool-tag'>Curated OER</span>\n</div>\n<h4 class='resource-title' title='Worksheet 15-Fall 1995'>\n<a class=\"trk-show-resource\" title=\"Worksheet 15-Fall 1995 Lesson plan\" href=\"/teachers/worksheet-15-fall-1995\">Worksheet 15-Fall 1995\n</a></h4>\n<div class='resource-meta text-xs text-gray-600 overflow-hidden text-ellipsis'>\n<i class='lp-icon fa-solid fa-user'></i>\n<span class='resource-audience'>For Teachers</span>\n<i class='lp-icon fa-regular fa-graduation-cap'></i>\n<span class='resource-grade'>Higher Ed</span>\n</div>\n<div class='resource-description-wrap'>\n<div class='resource-description'>\nIn this math worksheet students use the intermediate value theorem to solve two problems. They find parallel lines that will cut a convex shape into two pieces with equal areas. Students repeat this problem with a concave shape. Students...\n</div>\n</div>\n<div class='resource-actions bg-white'>\n<a class=\"btn btn-default btn-xs text-xs free-access-btn upgrade-btn\" title=\"Get Free Access to Worksheet 15-Fall 1995 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=599454\"><i class='fa-regular fa-eye'></i>\n<span class='button-text'>Get Free Access</span>\n</a><a class=\"btn btn-default btn-xs text-xs trk-show-resource\" title=\"Worksheet 15-Fall 1995 Lesson plan\" href=\"/teachers/worksheet-15-fall-1995\"><i class='fa-solid fa-list-ul'></i>\n<span class='button-text'>See Review</span>\n</a></div>\n</div>\n</div>\n</div>\n\n</div>\n\n\n<div class='relative search-result-item thumbnail-card no-access' data-id='820930' data-is-require-teacher-acknowledgment='false' data-item-type='CollectionItemResource' data-type='Resource'>\n\n<div class='panel panel-default panel-resource mb-0 border-none'>\n<div class='resource-card-loader'></div>\n<div class='resource-type-banner'>\n<div class=\"type-resource type-worksheet\"><i class=\"fa-solid fa-pen-to-square resource-icon\"></i><span class=\"ml-5 relative z-10\">Worksheet</span><span class=\"resource-bg\"></span></div>\n</div>\n<div class='thumb-img-wrap-width-helper'></div>\n<div class='thumb-img-wrap'>\n<a class=\"trk-show-resource\" title=\"Intervals Worksheet\" href=\"/teachers/intervals-9th-12th\"><img class=\"resource-img img-thumbnail img-responsive lozad\" alt=\"Intervals Worksheet\" title=\"Intervals Worksheet\" onError=\"handleImageNotLoadedError(this)\" data-default-image=\"https://statictemp.lp.lexp.cloud/images/attachment_defaults/resource/large/FPO-pdf.png\" data-src=\"//lessonplanet.com/content/resources/thumbnails/42293/large/bwluav9tywdpy2symde3mdmymi00nja5lw1iem5ycy5qcgc.jpg?1490206567\" width=\"315\" height=\"220\" src=\"data:image/png;base64,R0lGODlhAQABAAD/ACwAAAAAAQABAAACADs\" />\n</a><i class='fa-solid fa-image fa-6x thumb-img-wrap-icon'></i>\n</div>\n<div class='resource-info-wrap'>\n<div class='resource-info'>\n<div class='resource-info-top overflow-hidden text-ellipsis'>\n<span class='resource-pool-tag'>Curated OER</span>\n</div>\n<h4 class='resource-title' title='Intervals'>\n<a class=\"trk-show-resource\" title=\"Intervals Worksheet\" href=\"/teachers/intervals-9th-12th\">Intervals\n</a></h4>\n<div class='resource-meta text-xs text-gray-600 overflow-hidden text-ellipsis'>\n<i class='lp-icon fa-solid fa-user'></i>\n<span class='resource-audience'>For Students</span>\n<i class='lp-icon fa-regular fa-graduation-cap'></i>\n<span class='resource-grade'>9th - 12th</span>\n</div>\n<div class='resource-description-wrap'>\n<div class='resource-description'>\nIn this intervals worksheet, high schoolers determine the coordinates at a point of inflection.&nbsp; They compute the deritative of a function and sketch curves that satisfy given conditions.&nbsp; Students solve equations using the...\n</div>\n</div>\n<div class='resource-actions bg-white'>\n<a class=\"btn btn-default btn-xs text-xs free-access-btn upgrade-btn\" title=\"Get Free Access to Intervals Worksheet\" data-track-click=\"Search result free access button\" data-track-label=\"Search Page\" data-posthog-event=\"Signup: LP Signup Activity\" data-posthog-location=\"body_button_other\" data-remote=\"true\" href=\"/subscription/new?signup_resource_id=820930\"><i class='fa-regular fa-eye'></i>\n<span class='button-text'>Get Free Access</span>\n</a><a class=\"btn btn-default btn-xs text-xs trk-show-resource\" title=\"Intervals Worksheet\" href=\"/teachers/intervals-9th-12th\"><i class='fa-solid fa-list-ul'></i>\n<span class='button-text'>See Review</span>\n</a></div>\n</div>\n</div>\n</div>\n\n</div>\n\n\n<div class='relative search-result-item thumbnail-card no-access' data-id='820834' data-is-require-teacher-acknowledgment='false' data-item-type='CollectionItemResource' data-type='Resource'>\n\n<div class='panel panel-default panel-resource mb-0 border-none'>\n<div class='resource-card-loader'></div>\n<div class='resource-type-banner'>\n<div class=\"type-resource type-lesson-plan\"><i class=\"fa-solid fa-book resource-icon\"></i><span class=\"ml-5 relative z-10\">Lesson Plan</span><span class=\"resource-bg\"></span></div>\n</div>\n<div class='thumb-img-wrap-width-helper'></div>\n<div class='thumb-img-wrap'>\n<a class=\"trk-show-resource\" title=\"Rolle&#39;s Theorem and the Mean Value Theorem Lesson plan\" href=\"/teachers/rolles-theorem-and-the-mean-value-theorem\"><img class=\"resource-img img-thumbnail img-responsive lozad\" alt=\"Rolle&#39;s Theorem and the Mean Value Theorem Lesson Plan\" title=\"Rolle&#39;s Theorem and the Mean Value Theorem Lesson Plan\" onError=\"handleImageNotLoadedError(this)\" data-default-image=\"https://statictemp.lp.lexp.cloud/images/attachment_defaults/resource/large/missing.png\" data-src=\"//lessonplanet.com/content/resources/thumbnails/67077/large/bwluav9tywdpy2symde3mdmymy0zmdewmi0xbnvjagrxlmpwzw.jpg?1490282378\" width=\"315\" height=\"220\" src=\"data:image/png;base64,R0lGODlhAQABAAD/ACwAAAAAAQABAAACADs\" />\n</a><i class='fa-solid fa-image fa-6x thumb-img-wrap-icon'></i>\n</div>\n<div class='resource-info-wrap'>\n<div class='resource-info'>\n<div class='resource-info-top overflow-hidden text-ellipsis'>\n<span class='resource-pool-tag'>Curated OER</span>\n</div>\n<h4 class='resource-title' title='Rolle&#39;s Theorem and the Mean Value Theorem'>\n<a class=\"trk-show-resource\" title=\"Rolle&#39;s Theorem and the Mean Value Theorem Lesson plan\" href=\"/teachers/rolles-theorem-and-the-mean-value-theorem\">Rolle's Theorem and the Mean Value Theorem\n</a></h4>\n<div class='resource-meta text-xs text-gray-600 overflow-hidden text-ellipsis'>\n<i class='lp-icon fa-solid fa-user'></i>\n<span class='resource-audience'>For Teachers</span>\n<i class='lp-icon fa-regular fa-graduation-cap'></i>\n<span class='resource-grade'>12th</span>\n</div>\n<div class='resource-description-wrap'>\n<div class='resource-description'>\nTwelfth graders investigate the applications of the mean value theorem. In this calculus lesson, 12th graders apply the concepts of the mean value theorem to real life scenarios problems&nbsp;and relate it to Rolle's theorem. They...\n</div>\n</div>\n<div class='resource-actions bg-white'>\n<a class=\"btn btn-default btn-xs text-xs free-access-btn upgrade-btn\" title=\"Get Free Access to Rolle&#39;s Theorem and the Mean Value Theorem Lesson plan\" data-track-click=\"Search result free access button\" data-track-label=\"Search Page\" data-posthog-event=\"Signup: LP Signup Activity\" data-posthog-location=\"body_button_other\" data-remote=\"true\" href=\"/subscription/new?signup_resource_id=820834\"><i class='fa-regular fa-eye'></i>\n<span class='button-text'>Get Free Access</span>\n</a><a class=\"btn btn-default btn-xs text-xs trk-show-resource\" title=\"Rolle&#39;s Theorem and the Mean Value Theorem Lesson plan\" href=\"/teachers/rolles-theorem-and-the-mean-value-theorem\"><i class='fa-solid fa-list-ul'></i>\n<span class='button-text'>See Review</span>\n</a></div>\n</div>\n</div>\n</div>\n\n</div>\n\n\n<div class='relative search-result-item thumbnail-card no-access' data-id='1075791' data-is-require-teacher-acknowledgment='false' data-item-type='CollectionItemResource' data-type='Resource'>\n\n<div class='panel panel-default panel-resource mb-0 border-none'>\n<div class='resource-card-loader'></div>\n<div class='resource-type-banner'>\n<div class=\"type-resource type-ap-test-prep\"><i class=\"fa-solid fa-file resource-icon\"></i><span class=\"ml-5 relative z-10\">AP Test Prep</span><span class=\"resource-bg\"></span></div>\n<span class='collection-count'>\n<span class='hide-on-hover'>\n<span class='fa-stack'>\n<i class='fa-stack-1x fa-solid fa-folder-blank'></i>\n<i class='fa-stack-1x fa-solid fa-play inner-icon'></i>\n</span>\n<div class='sc-count'>1</div>\n</span>\n<span class='show-on-hover flex items-center'>\n<span class='fa-stack mr-1'>\n<i class='fa-stack-1x fa-solid fa-folder-blank'></i>\n<i class='fa-stack-1x fa-solid fa-play inner-icon'></i>\n</span>\n<span class='inline-block laptop-l:hidden'>\n1\n</span>\n<span class='hidden laptop-l:inline-block'>\nIn 1 Collection\n</span>\n</span>\n</span>\n</div>\n<div class='thumb-img-wrap-width-helper'></div>\n<div class='thumb-img-wrap'>\n<a class=\"trk-show-resource\" title=\"Calculus AB/BC Mid-Unit 5 Review: Analytical Applications of Differentiation Ap test prep\" href=\"/teachers/calculus-ab-bc-mid-unit-5-review-analytical-applications-of-differentiation\"><img class=\"resource-img img-thumbnail img-responsive lozad\" alt=\"Calculus AB/BC Mid-Unit 5 Review: Analytical Applications of Differentiation AP Test Prep\" title=\"Calculus AB/BC Mid-Unit 5 Review: Analytical Applications of Differentiation AP Test Prep\" onError=\"handleImageNotLoadedError(this)\" data-default-image=\"https://statictemp.lp.lexp.cloud/images/attachment_defaults/resource/large/FPO-pdf.png\" data-src=\"//lessonplanet.com/content/resources/thumbnails/446368/large/bwluav9tywdpy2symdixmdeyni0ymzq4ms0xymrjajb4lmpwzw.jpg?1611676034\" width=\"315\" height=\"220\" src=\"data:image/png;base64,R0lGODlhAQABAAD/ACwAAAAAAQABAAACADs\" />\n</a><i class='fa-solid fa-image fa-6x thumb-img-wrap-icon'></i>\n</div>\n<div class='resource-info-wrap'>\n<div class='resource-info'>\n<div class='resource-info-top overflow-hidden text-ellipsis'>\n<span class='resource-pool-tag'>Flipped Math</span>\n</div>\n<h4 class='resource-title' title='Calculus AB/BC Mid-Unit 5 Review: Analytical Applications of Differentiation'>\n<a class=\"trk-show-resource\" title=\"Calculus AB/BC Mid-Unit 5 Review: Analytical Applications of Differentiation Ap test prep\" href=\"/teachers/calculus-ab-bc-mid-unit-5-review-analytical-applications-of-differentiation\">Calculus AB/BC Mid-Unit 5 Review: Analytical Applications of Differentiation\n</a></h4>\n<div class='resource-meta text-xs text-gray-600 overflow-hidden text-ellipsis'>\n<i class='lp-icon fa-solid fa-user'></i>\n<span class='resource-audience'>For Students</span>\n<i class='lp-icon fa-regular fa-graduation-cap'></i>\n<span class='resource-grade'>10th - 12th</span>\n</div>\n<div class='resource-description-wrap'>\n<div class='resource-description'>\nIt's time to put analytical applications to work. Learners use the eight questions of the mid-Unit 5 review to refresh their memories of the key points. Pupils apply what they have learned to use the Mean Value Theorem, find extrema...\n</div>\n</div>\n<div class='resource-actions bg-white'>\n<a class=\"btn btn-default btn-xs text-xs free-access-btn upgrade-btn\" title=\"Get Free Access to Calculus AB/BC Mid-Unit 5 Review: Analytical Applications of Differentiation Ap test prep\" data-track-click=\"Search result free access button\" data-track-label=\"Search Page\" data-posthog-event=\"Signup: LP Signup Activity\" data-posthog-location=\"body_button_other\" data-remote=\"true\" href=\"/subscription/new?signup_resource_id=1075791\"><i class='fa-regular fa-eye'></i>\n<span class='button-text'>Get Free Access</span>\n</a><a class=\"btn btn-default btn-xs text-xs trk-show-resource\" title=\"Calculus AB/BC Mid-Unit 5 Review: Analytical Applications of Differentiation Ap test prep\" href=\"/teachers/calculus-ab-bc-mid-unit-5-review-analytical-applications-of-differentiation\"><i class='fa-solid fa-list-ul'></i>\n<span class='button-text'>See Review</span>\n</a></div>\n</div>\n</div>\n</div>\n\n</div>\n\n\n<div class='relative search-result-item thumbnail-card no-access' data-id='601889' data-is-require-teacher-acknowledgment='false' data-item-type='CollectionItemResource' data-type='Resource'>\n\n<div class='panel panel-default panel-resource mb-0 border-none'>\n<div class='resource-card-loader'></div>\n<div class='resource-type-banner'>\n<div class=\"type-resource type-worksheet\"><i class=\"fa-solid fa-pen-to-square resource-icon\"></i><span class=\"ml-5 relative z-10\">Worksheet</span><span class=\"resource-bg\"></span></div>\n</div>\n<div class='thumb-img-wrap-width-helper'></div>\n<div class='thumb-img-wrap'>\n<a class=\"trk-show-resource\" title=\"Challenge Discussion Sheet 6 Worksheet\" href=\"/teachers/challenge-discussion-sheet-6\"><img class=\"resource-img img-thumbnail img-responsive lozad\" alt=\"Challenge Discussion Sheet 6 Worksheet\" title=\"Challenge Discussion Sheet 6 Worksheet\" onError=\"handleImageNotLoadedError(this)\" data-default-image=\"https://statictemp.lp.lexp.cloud/images/attachment_defaults/resource/large/FPO-pdf.png\" data-src=\"//lessonplanet.com/content/resources/thumbnails/175694/large/cgrmlwnvbnzlcnqymdezmdmzmc0xmtm3ns0xognvb29qlmpwzw.jpg?1414274504\" width=\"315\" height=\"220\" src=\"data:image/png;base64,R0lGODlhAQABAAD/ACwAAAAAAQABAAACADs\" />\n</a><i class='fa-solid fa-image fa-6x thumb-img-wrap-icon'></i>\n</div>\n<div class='resource-info-wrap'>\n<div class='resource-info'>\n<div class='resource-info-top overflow-hidden text-ellipsis'>\n<span class='resource-pool-tag'>Curated OER</span>\n</div>\n<h4 class='resource-title' title='Challenge Discussion Sheet 6'>\n<a class=\"trk-show-resource\" title=\"Challenge Discussion Sheet 6 Worksheet\" href=\"/teachers/challenge-discussion-sheet-6\">Challenge Discussion Sheet 6\n</a></h4>\n<div class='resource-meta text-xs text-gray-600 overflow-hidden text-ellipsis'>\n<i class='lp-icon fa-solid fa-user'></i>\n<span class='resource-audience'>For Students</span>\n<i class='lp-icon fa-regular fa-graduation-cap'></i>\n<span class='resource-grade'>12th - Higher Ed</span>\n</div>\n<div class='resource-description-wrap'>\n<div class='resource-description'>\nStudents are challenged to determine values that are guaranteed by the mean value theorem. They sketch the graph of a function and show that it satisfies the conditions of the mean value theorem over a given interval. Students determine...\n</div>\n</div>\n<div class='resource-actions bg-white'>\n<a class=\"btn btn-default btn-xs text-xs free-access-btn upgrade-btn\" title=\"Get Free Access to Challenge Discussion Sheet 6 Worksheet\" data-track-click=\"Search result free access button\" data-track-label=\"Search Page\" data-posthog-event=\"Signup: LP Signup Activity\" data-posthog-location=\"body_button_other\" data-remote=\"true\" href=\"/subscription/new?signup_resource_id=601889\"><i class='fa-regular fa-eye'></i>\n<span class='button-text'>Get Free Access</span>\n</a><a class=\"btn btn-default btn-xs text-xs trk-show-resource\" title=\"Challenge Discussion Sheet 6 Worksheet\" href=\"/teachers/challenge-discussion-sheet-6\"><i class='fa-solid fa-list-ul'></i>\n<span class='button-text'>See Review</span>\n</a></div>\n</div>\n</div>\n</div>\n\n</div>\n\n\n<div class='relative search-result-item thumbnail-card no-access' data-id='871640' data-is-require-teacher-acknowledgment='false' data-item-type='CollectionItemResource' data-type='Resource'>\n\n<div class='panel panel-default panel-resource mb-0 border-none'>\n<div class='resource-card-loader'></div>\n<div class='resource-type-banner'>\n<div class=\"type-resource type-lesson-plan\"><i class=\"fa-solid fa-book resource-icon\"></i><span class=\"ml-5 relative z-10\">Lesson Plan</span><span class=\"resource-bg\"></span></div>\n</div>\n<div class='thumb-img-wrap-width-helper'></div>\n<div class='thumb-img-wrap'>\n<a class=\"trk-show-resource\" title=\"MVT for Derivatives Lesson plan\" href=\"/teachers/mvt-for-derivatives\"><img class=\"resource-img img-thumbnail img-responsive lozad\" alt=\"MVT for Derivatives Lesson Plan\" title=\"MVT for Derivatives Lesson Plan\" onError=\"handleImageNotLoadedError(this)\" data-default-image=\"https://statictemp.lp.lexp.cloud/images/attachment_defaults/resource/large/missing.png\" data-src=\"//lessonplanet.com/content/resources/thumbnails/281801/large/odcxnjqwlmpwzw.jpg?1414478174\" width=\"315\" height=\"220\" src=\"data:image/png;base64,R0lGODlhAQABAAD/ACwAAAAAAQABAAACADs\" />\n</a><i class='fa-solid fa-image fa-6x thumb-img-wrap-icon'></i>\n</div>\n<div class='resource-info-wrap'>\n<div class='resource-info'>\n<div class='resource-info-top overflow-hidden text-ellipsis'>\n<span class='resource-pool-tag'>Curated OER</span>\n</div>\n<h4 class='resource-title' title='MVT for Derivatives'>\n<a class=\"trk-show-resource\" title=\"MVT for Derivatives Lesson plan\" href=\"/teachers/mvt-for-derivatives\">MVT for Derivatives\n</a></h4>\n<div class='resource-meta text-xs text-gray-600 overflow-hidden text-ellipsis'>\n<i class='lp-icon fa-solid fa-user'></i>\n<span class='resource-audience'>For Teachers</span>\n<i class='lp-icon fa-regular fa-graduation-cap'></i>\n<span class='resource-grade'>9th - 12th</span>\n<i class='lp-icon fa-regular fa-circle-check'></i>\n<span class='resource-standards'>Standards</span>\n</div>\n<div class='resource-description-wrap'>\n<div class='resource-description'>\nYoung scholars find the derivative using the mean value theorem in this calculus lesson. They find the slopes of secant and tangent lines, then analyze the function and identify the slope.\n</div>\n</div>\n<div class='resource-actions bg-white'>\n<a class=\"btn btn-default btn-xs text-xs free-access-btn upgrade-btn\" title=\"Get Free Access to MVT for Derivatives Lesson plan\" data-track-click=\"Search result free access button\" data-track-label=\"Search Page\" data-posthog-event=\"Signup: LP Signup Activity\" data-posthog-location=\"body_button_other\" data-remote=\"true\" href=\"/subscription/new?signup_resource_id=871640\"><i class='fa-regular fa-eye'></i>\n<span class='button-text'>Get Free Access</span>\n</a><a class=\"btn btn-default btn-xs text-xs trk-show-resource\" title=\"MVT for Derivatives Lesson plan\" href=\"/teachers/mvt-for-derivatives\"><i class='fa-solid fa-list-ul'></i>\n<span class='button-text'>See Review</span>\n</a></div>\n</div>\n</div>\n</div>\n\n</div>\n\n\n<div class='relative search-result-item thumbnail-card no-access' data-id='599336' data-is-require-teacher-acknowledgment='false' data-item-type='CollectionItemResource' data-type='Resource'>\n\n<div class='panel panel-default panel-resource mb-0 border-none'>\n<div class='resource-card-loader'></div>\n<div class='resource-type-banner'>\n<div class=\"type-resource type-worksheet\"><i class=\"fa-solid fa-pen-to-square resource-icon\"></i><span class=\"ml-5 relative z-10\">Worksheet</span><span class=\"resource-bg\"></span></div>\n</div>\n<div class='thumb-img-wrap-width-helper'></div>\n<div class='thumb-img-wrap'>\n<a class=\"trk-show-resource\" title=\"Functions Worksheet\" href=\"/teachers/worksheet-functions-12th-higher-ed\"><img class=\"resource-img img-thumbnail img-responsive lozad\" alt=\"Functions Worksheet\" title=\"Functions Worksheet\" onError=\"handleImageNotLoadedError(this)\" data-default-image=\"https://statictemp.lp.lexp.cloud/images/attachment_defaults/resource/large/FPO-pdf.png\" data-src=\"//lessonplanet.com/content/resources/thumbnails/33031/large/bwluav9tywdpy2symde3mdmymi04ndezlw5jbnc5di5qcgc.jpg?1490182376\" width=\"315\" height=\"220\" src=\"data:image/png;base64,R0lGODlhAQABAAD/ACwAAAAAAQABAAACADs\" />\n</a><i class='fa-solid fa-image fa-6x thumb-img-wrap-icon'></i>\n</div>\n<div class='resource-info-wrap'>\n<div class='resource-info'>\n<div class='resource-info-top overflow-hidden text-ellipsis'>\n<span class='resource-pool-tag'>Curated OER</span>\n</div>\n<h4 class='resource-title' title='Functions'>\n<a class=\"trk-show-resource\" title=\"Functions Worksheet\" href=\"/teachers/worksheet-functions-12th-higher-ed\">Functions\n</a></h4>\n<div class='resource-meta text-xs text-gray-600 overflow-hidden text-ellipsis'>\n<i class='lp-icon fa-solid fa-user'></i>\n<span class='resource-audience'>For Students</span>\n<i class='lp-icon fa-regular fa-graduation-cap'></i>\n<span class='resource-grade'>12th - Higher Ed</span>\n</div>\n<div class='resource-description-wrap'>\n<div class='resource-description'>\nIn this functions worksheet, students solve and complete 5 different sets of problems that include determining functions on intervals. First, they define a definite integral and the Fundamental Theorem of Calculus. Then, students draw a...\n</div>\n</div>\n<div class='resource-actions bg-white'>\n<a class=\"btn btn-default btn-xs text-xs free-access-btn upgrade-btn\" title=\"Get Free Access to Functions Worksheet\" data-track-click=\"Search result free access button\" data-track-label=\"Search Page\" data-posthog-event=\"Signup: LP Signup Activity\" data-posthog-location=\"body_button_other\" data-remote=\"true\" href=\"/subscription/new?signup_resource_id=599336\"><i class='fa-regular fa-eye'></i>\n<span class='button-text'>Get Free Access</span>\n</a><a class=\"btn btn-default btn-xs text-xs trk-show-resource\" title=\"Functions Worksheet\" href=\"/teachers/worksheet-functions-12th-higher-ed\"><i class='fa-solid fa-list-ul'></i>\n<span class='button-text'>See Review</span>\n</a></div>\n</div>\n</div>\n</div>\n\n</div>\n\n\n<div class='relative search-result-item thumbnail-card no-access' data-id='840377' data-is-require-teacher-acknowledgment='false' data-item-type='CollectionItemResource' data-type='Resource'>\n\n<div class='panel panel-default panel-resource mb-0 border-none'>\n<div class='resource-card-loader'></div>\n<div class='resource-type-banner'>\n<div class=\"type-resource type-worksheet\"><i class=\"fa-solid fa-pen-to-square resource-icon\"></i><span class=\"ml-5 relative z-10\">Worksheet</span><span class=\"resource-bg\"></span></div>\n</div>\n<div class='thumb-img-wrap-width-helper'></div>\n<div class='thumb-img-wrap'>\n<a class=\"trk-show-resource\" title=\"AP Calculus Practice Exam Worksheet\" href=\"/teachers/ap-calculus-practice-exam-11th-12th\"><img class=\"resource-img img-thumbnail img-responsive lozad\" alt=\"AP Calculus Practice Exam Worksheet\" title=\"AP Calculus Practice Exam Worksheet\" onError=\"handleImageNotLoadedError(this)\" data-default-image=\"https://statictemp.lp.lexp.cloud/images/attachment_defaults/resource/large/missing.png\" data-src=\"//lessonplanet.com/content/resources/thumbnails/8102/large/bwluav9tywdpy2symde3mdmymc0yndm5mi0xagpkmwdulmpwzw.jpg?1490021174\" width=\"315\" height=\"220\" src=\"data:image/png;base64,R0lGODlhAQABAAD/ACwAAAAAAQABAAACADs\" />\n</a><i class='fa-solid fa-image fa-6x thumb-img-wrap-icon'></i>\n</div>\n<div class='resource-info-wrap'>\n<div class='resource-info'>\n<div class='resource-info-top overflow-hidden text-ellipsis'>\n<span class='resource-pool-tag'>Curated OER</span>\n</div>\n<h4 class='resource-title' title='AP Calculus Practice Exam'>\n<a class=\"trk-show-resource\" title=\"AP Calculus Practice Exam Worksheet\" href=\"/teachers/ap-calculus-practice-exam-11th-12th\">AP Calculus Practice Exam\n</a></h4>\n<div class='resource-meta text-xs text-gray-600 overflow-hidden text-ellipsis'>\n<i class='lp-icon fa-solid fa-user'></i>\n<span class='resource-audience'>For Students</span>\n<i class='lp-icon fa-regular fa-graduation-cap'></i>\n<span class='resource-grade'>11th - 12th</span>\n</div>\n<div class='resource-description-wrap'>\n<div class='resource-description'>\nIn this practice exam worksheet, students solve 17 multiple choice problems. Students find derivatives, points of continuity, maximums, minimums, integrals, and area of enclosed regions.\n</div>\n</div>\n<div class='resource-actions bg-white'>\n<a class=\"btn btn-default btn-xs text-xs free-access-btn upgrade-btn\" title=\"Get Free Access to AP Calculus Practice Exam Worksheet\" data-track-click=\"Search result free access button\" data-track-label=\"Search Page\" data-posthog-event=\"Signup: LP Signup Activity\" data-posthog-location=\"body_button_other\" data-remote=\"true\" href=\"/subscription/new?signup_resource_id=840377\"><i class='fa-regular fa-eye'></i>\n<span class='button-text'>Get Free Access</span>\n</a><a class=\"btn btn-default btn-xs text-xs trk-show-resource\" title=\"AP Calculus Practice Exam Worksheet\" href=\"/teachers/ap-calculus-practice-exam-11th-12th\"><i class='fa-solid fa-list-ul'></i>\n<span class='button-text'>See Review</span>\n</a></div>\n</div>\n</div>\n</div>\n\n</div>\n\n\n<div class='relative search-result-item thumbnail-card no-access' data-id='871726' data-is-require-teacher-acknowledgment='false' data-item-type='CollectionItemResource' data-type='Resource'>\n\n<div class='panel panel-default panel-resource mb-0 border-none'>\n<div class='resource-card-loader'></div>\n<div class='resource-type-banner'>\n<div class=\"type-resource type-lesson-plan\"><i class=\"fa-solid fa-book resource-icon\"></i><span class=\"ml-5 relative z-10\">Lesson Plan</span><span class=\"resource-bg\"></span></div>\n</div>\n<div class='thumb-img-wrap-width-helper'></div>\n<div class='thumb-img-wrap'>\n<a class=\"trk-show-resource\" title=\"MVT for Integrals Lesson plan\" href=\"/teachers/mvt-for-integrals\"><img class=\"resource-img img-thumbnail img-responsive lozad\" alt=\"MVT for Integrals Lesson Plan\" title=\"MVT for Integrals Lesson Plan\" onError=\"handleImageNotLoadedError(this)\" data-default-image=\"https://statictemp.lp.lexp.cloud/images/attachment_defaults/resource/large/missing.png\" data-src=\"//lessonplanet.com/content/resources/thumbnails/281845/large/odcxnzi2lmpwzw.jpg?1414478481\" width=\"315\" height=\"220\" src=\"data:image/png;base64,R0lGODlhAQABAAD/ACwAAAAAAQABAAACADs\" />\n</a><i class='fa-solid fa-image fa-6x thumb-img-wrap-icon'></i>\n</div>\n<div class='resource-info-wrap'>\n<div class='resource-info'>\n<div class='resource-info-top overflow-hidden text-ellipsis'>\n<span class='resource-pool-tag'>Curated OER</span>\n</div>\n<h4 class='resource-title' title='MVT for Integrals'>\n<a class=\"trk-show-resource\" title=\"MVT for Integrals Lesson plan\" href=\"/teachers/mvt-for-integrals\">MVT for Integrals\n</a></h4>\n<div class='resource-meta text-xs text-gray-600 overflow-hidden text-ellipsis'>\n<i class='lp-icon fa-solid fa-user'></i>\n<span class='resource-audience'>For Teachers</span>\n<i class='lp-icon fa-regular fa-graduation-cap'></i>\n<span class='resource-grade'>10th - 12th</span>\n</div>\n<div class='resource-description-wrap'>\n<div class='resource-description'>\nStudents identify the meaning of the Mean Value Theorem. In this calculus lesson, students solve problems using the definite integral. They calculate the average value of a function.\n</div>\n</div>\n<div class='resource-actions bg-white'>\n<a class=\"btn btn-default btn-xs text-xs free-access-btn upgrade-btn\" title=\"Get Free Access to MVT for Integrals Lesson plan\" data-track-click=\"Search result free access button\" data-track-label=\"Search Page\" data-posthog-event=\"Signup: LP Signup Activity\" data-posthog-location=\"body_button_other\" data-remote=\"true\" href=\"/subscription/new?signup_resource_id=871726\"><i class='fa-regular fa-eye'></i>\n<span class='button-text'>Get Free Access</span>\n</a><a class=\"btn btn-default btn-xs text-xs trk-show-resource\" title=\"MVT for Integrals Lesson plan\" href=\"/teachers/mvt-for-integrals\"><i class='fa-solid fa-list-ul'></i>\n<span class='button-text'>See Review</span>\n</a></div>\n</div>\n</div>\n</div>\n\n</div>\n\n\n<div class='relative search-result-item thumbnail-card no-access' data-id='1071920' data-is-require-teacher-acknowledgment='false' data-item-type='CollectionItemResource' data-type='Resource'>\n\n<div class='panel panel-default panel-resource mb-0 border-none'>\n<div class='resource-card-loader'></div>\n<div class='resource-type-banner'>\n<div class=\"type-resource type-ebook\"><i class=\"fa-solid fa-tablet resource-icon\"></i><span class=\"ml-5 relative z-10\">eBook</span><span class=\"resource-bg\"></span></div>\n</div>\n<div class='thumb-img-wrap-width-helper'></div>\n<div class='thumb-img-wrap'>\n<a class=\"trk-show-resource\" title=\"Calculus Volume 1 Ebook\" href=\"/teachers/calculus-volume-1\"><img class=\"resource-img img-thumbnail img-responsive lozad\" alt=\"Calculus Volume 1 eBook\" title=\"Calculus Volume 1 eBook\" onError=\"handleImageNotLoadedError(this)\" data-default-image=\"https://statictemp.lp.lexp.cloud/images/attachment_defaults/resource/large/missing.png\" data-src=\"//lessonplanet.com/content/resources/thumbnails/404563/large/u2nyzwvux1nob3rfmjaxos0xmc0wm19hdf80ljizlju5x1bnlnbuzw.png?1570145053\" width=\"315\" height=\"220\" src=\"data:image/png;base64,R0lGODlhAQABAAD/ACwAAAAAAQABAAACADs\" />\n</a><i class='fa-solid fa-image fa-6x thumb-img-wrap-icon'></i>\n</div>\n<div class='resource-info-wrap'>\n<div class='resource-info'>\n<div class='resource-info-top overflow-hidden text-ellipsis'>\n<span class='resource-pool-tag'>Rice University</span>\n</div>\n<h4 class='resource-title' title='Calculus Volume 1'>\n<a class=\"trk-show-resource\" title=\"Calculus Volume 1 Ebook\" href=\"/teachers/calculus-volume-1\">Calculus Volume 1\n</a></h4>\n<div class='resource-meta text-xs text-gray-600 overflow-hidden text-ellipsis'>\n<i class='lp-icon fa-solid fa-user'></i>\n<span class='resource-audience'>For Students</span>\n<i class='lp-icon fa-regular fa-graduation-cap'></i>\n<span class='resource-grade'>11th - Higher Ed</span>\n</div>\n<div class='resource-description-wrap'>\n<div class='resource-description'>\nDifferentiate between calculus concepts. The beginning of a helpful calculus resource begins with a short review of functions and moves right into limits to define derivatives. The six-chapter resource continues with applications of...\n</div>\n</div>\n<div class='resource-actions bg-white'>\n<a class=\"btn btn-default btn-xs text-xs free-access-btn upgrade-btn\" title=\"Get Free Access to Calculus Volume 1 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=1071920\"><i class='fa-regular fa-eye'></i>\n<span class='button-text'>Get Free Access</span>\n</a><a class=\"btn btn-default btn-xs text-xs trk-show-resource\" title=\"Calculus Volume 1 Ebook\" href=\"/teachers/calculus-volume-1\"><i class='fa-solid fa-list-ul'></i>\n<span class='button-text'>See Review</span>\n</a></div>\n</div>\n</div>\n</div>\n\n</div>\n\n\n<div class='relative search-result-item thumbnail-card no-access' data-id='1069511' data-is-require-teacher-acknowledgment='false' data-item-type='CollectionItemResource' data-type='Resource'>\n\n<div class='panel panel-default panel-resource mb-0 border-none'>\n<div class='resource-card-loader'></div>\n<div class='resource-type-banner'>\n<div class=\"type-resource type-ap-test-prep\"><i class=\"fa-solid fa-file resource-icon\"></i><span class=\"ml-5 relative z-10\">AP Test Prep</span><span class=\"resource-bg\"></span></div>\n</div>\n<div class='thumb-img-wrap-width-helper'></div>\n<div class='thumb-img-wrap'>\n<a class=\"trk-show-resource\" title=\"2018 AP® Calculus BC Free-Response Questions Ap test prep\" href=\"/teachers/2018-ap-calculus-bc-free-response-questions\"><img class=\"resource-img img-thumbnail img-responsive lozad\" alt=\"2018 AP® Calculus BC Free-Response Questions AP Test Prep\" title=\"2018 AP® Calculus BC Free-Response Questions AP Test Prep\" onError=\"handleImageNotLoadedError(this)\" data-default-image=\"https://statictemp.lp.lexp.cloud/images/attachment_defaults/resource/large/FPO-pdf.png\" data-src=\"//lessonplanet.com/content/resources/thumbnails/397002/large/u2nyzwvux1nob3rfmjaxos0wmy0wnf9hdf8xmi4wms4ynf9qts5wbmc.png?1551718895\" width=\"315\" height=\"220\" src=\"data:image/png;base64,R0lGODlhAQABAAD/ACwAAAAAAQABAAACADs\" />\n</a><i class='fa-solid fa-image fa-6x thumb-img-wrap-icon'></i>\n</div>\n<div class='resource-info-wrap'>\n<div class='resource-info'>\n<div class='resource-info-top overflow-hidden text-ellipsis'>\n<span class='resource-pool-tag'>College Board</span>\n</div>\n<h4 class='resource-title' title='2018 AP® Calculus BC Free-Response Questions'>\n<a class=\"trk-show-resource\" title=\"2018 AP® Calculus BC Free-Response Questions Ap test prep\" href=\"/teachers/2018-ap-calculus-bc-free-response-questions\">2018 AP® Calculus BC Free-Response Questions\n</a></h4>\n<div class='resource-meta text-xs text-gray-600 overflow-hidden text-ellipsis'>\n<i class='lp-icon fa-solid fa-user'></i>\n<span class='resource-audience'>For Students</span>\n<i class='lp-icon fa-regular fa-graduation-cap'></i>\n<span class='resource-grade'>10th - 12th</span>\n</div>\n<div class='resource-description-wrap'>\n<div class='resource-description'>\nDon't just rely on the textbook. Released items from the AP Calculus BC provide pupils and teachers insight on how topics appear on the exam. The six items are divided into calculator and non-calculator sets with half of them also...\n</div>\n</div>\n<div class='resource-actions bg-white'>\n<a class=\"btn btn-default btn-xs text-xs free-access-btn upgrade-btn\" title=\"Get Free Access to 2018 AP® Calculus BC Free-Response Questions Ap test prep\" data-track-click=\"Search result free access button\" data-track-label=\"Search Page\" data-posthog-event=\"Signup: LP Signup Activity\" data-posthog-location=\"body_button_other\" data-remote=\"true\" href=\"/subscription/new?signup_resource_id=1069511\"><i class='fa-regular fa-eye'></i>\n<span class='button-text'>Get Free Access</span>\n</a><a class=\"btn btn-default btn-xs text-xs trk-show-resource\" title=\"2018 AP® Calculus BC Free-Response Questions Ap test prep\" href=\"/teachers/2018-ap-calculus-bc-free-response-questions\"><i class='fa-solid fa-list-ul'></i>\n<span class='button-text'>See Review</span>\n</a></div>\n</div>\n</div>\n</div>\n\n</div>\n\n\n<div class='relative search-result-item thumbnail-card no-access' data-id='1069502' data-is-require-teacher-acknowledgment='false' data-item-type='CollectionItemResource' data-type='Resource'>\n\n<div class='panel panel-default panel-resource mb-0 border-none'>\n<div class='resource-card-loader'></div>\n<div class='resource-type-banner'>\n<div class=\"type-resource type-ap-test-prep\"><i class=\"fa-solid fa-file resource-icon\"></i><span class=\"ml-5 relative z-10\">AP Test Prep</span><span class=\"resource-bg\"></span></div>\n</div>\n<div class='thumb-img-wrap-width-helper'></div>\n<div class='thumb-img-wrap'>\n<a class=\"trk-show-resource\" title=\"2018 AP® Calculus AB Free-Response Questions Ap test prep\" href=\"/teachers/2018-ap-calculus-ab-free-response-questions\"><img class=\"resource-img img-thumbnail img-responsive lozad\" alt=\"2018 AP® Calculus AB Free-Response Questions AP Test Prep\" title=\"2018 AP® Calculus AB Free-Response Questions AP Test Prep\" onError=\"handleImageNotLoadedError(this)\" data-default-image=\"https://statictemp.lp.lexp.cloud/images/attachment_defaults/resource/large/FPO-pdf.png\" data-src=\"//lessonplanet.com/content/resources/thumbnails/396993/large/u2nyzwvux1nob3rfmjaxos0wmy0wnf9hdf8xmi4wmy40mf9qts5wbmc.png?1551719033\" width=\"315\" height=\"220\" src=\"data:image/png;base64,R0lGODlhAQABAAD/ACwAAAAAAQABAAACADs\" />\n</a><i class='fa-solid fa-image fa-6x thumb-img-wrap-icon'></i>\n</div>\n<div class='resource-info-wrap'>\n<div class='resource-info'>\n<div class='resource-info-top overflow-hidden text-ellipsis'>\n<span class='resource-pool-tag'>College Board</span>\n</div>\n<h4 class='resource-title' title='2018 AP® Calculus AB Free-Response Questions'>\n<a class=\"trk-show-resource\" title=\"2018 AP® Calculus AB Free-Response Questions Ap test prep\" href=\"/teachers/2018-ap-calculus-ab-free-response-questions\">2018 AP® Calculus AB Free-Response Questions\n</a></h4>\n<div class='resource-meta text-xs text-gray-600 overflow-hidden text-ellipsis'>\n<i class='lp-icon fa-solid fa-user'></i>\n<span class='resource-audience'>For Students</span>\n<i class='lp-icon fa-regular fa-graduation-cap'></i>\n<span class='resource-grade'>10th - 12th</span>\n</div>\n<div class='resource-description-wrap'>\n<div class='resource-description'>\nPupils interact with&nbsp;six released questions from the 2018 AP Calculus AB exam. Teachers use the additional materials to determine where the class is in terms of readiness for the exam to help provide additional instruction as needed.\n</div>\n</div>\n<div class='resource-actions bg-white'>\n<a class=\"btn btn-default btn-xs text-xs free-access-btn upgrade-btn\" title=\"Get Free Access to 2018 AP® Calculus AB Free-Response Questions Ap test prep\" data-track-click=\"Search result free access button\" data-track-label=\"Search Page\" data-posthog-event=\"Signup: LP Signup Activity\" data-posthog-location=\"body_button_other\" data-remote=\"true\" href=\"/subscription/new?signup_resource_id=1069502\"><i class='fa-regular fa-eye'></i>\n<span class='button-text'>Get Free Access</span>\n</a><a class=\"btn btn-default btn-xs text-xs trk-show-resource\" title=\"2018 AP® Calculus AB Free-Response Questions Ap test prep\" href=\"/teachers/2018-ap-calculus-ab-free-response-questions\"><i class='fa-solid fa-list-ul'></i>\n<span class='button-text'>See Review</span>\n</a></div>\n</div>\n</div>\n</div>\n\n</div>\n\n\n<div class='relative search-result-item thumbnail-card no-access' data-id='1069947' data-is-require-teacher-acknowledgment='false' data-item-type='CollectionItemResource' data-type='Resource'>\n\n<div class='panel panel-default panel-resource mb-0 border-none'>\n<div class='resource-card-loader'></div>\n<div class='resource-type-banner'>\n<div class=\"type-resource type-ap-test-prep\"><i class=\"fa-solid fa-file resource-icon\"></i><span class=\"ml-5 relative z-10\">AP Test Prep</span><span class=\"resource-bg\"></span></div>\n</div>\n<div class='thumb-img-wrap-width-helper'></div>\n<div class='thumb-img-wrap'>\n<a class=\"trk-show-resource\" title=\"2007 AP® Calculus AB Free-Response Questions Ap test prep\" href=\"/teachers/2007-ap-calculus-ab-free-response-questions\"><img class=\"resource-img img-thumbnail img-responsive lozad\" alt=\"2007 AP® Calculus AB Free-Response Questions AP Test Prep\" title=\"2007 AP® Calculus AB Free-Response Questions AP Test Prep\" onError=\"handleImageNotLoadedError(this)\" data-default-image=\"https://statictemp.lp.lexp.cloud/images/attachment_defaults/resource/large/FPO-pdf.png\" data-src=\"//lessonplanet.com/content/resources/thumbnails/399105/large/u2nyzwvux1nob3rfmjaxos0wnc0wnv9hdf85lji3ljewx0fnlnbuzw.png?1554481643\" width=\"315\" height=\"220\" src=\"data:image/png;base64,R0lGODlhAQABAAD/ACwAAAAAAQABAAACADs\" />\n</a><i class='fa-solid fa-image fa-6x thumb-img-wrap-icon'></i>\n</div>\n<div class='resource-info-wrap'>\n<div class='resource-info'>\n<div class='resource-info-top overflow-hidden text-ellipsis'>\n<span class='resource-pool-tag'>College Board</span>\n</div>\n<h4 class='resource-title' title='2007 AP® Calculus AB Free-Response Questions'>\n<a class=\"trk-show-resource\" title=\"2007 AP® Calculus AB Free-Response Questions Ap test prep\" href=\"/teachers/2007-ap-calculus-ab-free-response-questions\">2007 AP® Calculus AB Free-Response Questions\n</a></h4>\n<div class='resource-meta text-xs text-gray-600 overflow-hidden text-ellipsis'>\n<i class='lp-icon fa-solid fa-user'></i>\n<span class='resource-audience'>For Students</span>\n<i class='lp-icon fa-regular fa-graduation-cap'></i>\n<span class='resource-grade'>10th - 12th</span>\n</div>\n<div class='resource-description-wrap'>\n<div class='resource-description'>\nGrow your knowledge of Calculus AB. Items released from the 2007 AP® Calculus AB exam provide information to teachers about the importance of particular topics. Pupils use the questions to gain an understanding of ways the exam assesses...\n</div>\n</div>\n<div class='resource-actions bg-white'>\n<a class=\"btn btn-default btn-xs text-xs free-access-btn upgrade-btn\" title=\"Get Free Access to 2007 AP® Calculus AB Free-Response Questions Ap test prep\" data-track-click=\"Search result free access button\" data-track-label=\"Search Page\" data-posthog-event=\"Signup: LP Signup Activity\" data-posthog-location=\"body_button_other\" data-remote=\"true\" href=\"/subscription/new?signup_resource_id=1069947\"><i class='fa-regular fa-eye'></i>\n<span class='button-text'>Get Free Access</span>\n</a><a class=\"btn btn-default btn-xs text-xs trk-show-resource\" title=\"2007 AP® Calculus AB Free-Response Questions Ap test prep\" href=\"/teachers/2007-ap-calculus-ab-free-response-questions\"><i class='fa-solid fa-list-ul'></i>\n<span class='button-text'>See Review</span>\n</a></div>\n</div>\n</div>\n</div>\n\n</div>\n\n\n<div class='relative search-result-item thumbnail-card no-access' data-id='1069499' data-is-require-teacher-acknowledgment='false' data-item-type='CollectionItemResource' data-type='Resource'>\n\n<div class='panel panel-default panel-resource mb-0 border-none'>\n<div class='resource-card-loader'></div>\n<div class='resource-type-banner'>\n<div class=\"type-resource type-ap-test-prep\"><i class=\"fa-solid fa-file resource-icon\"></i><span class=\"ml-5 relative z-10\">AP Test Prep</span><span class=\"resource-bg\"></span></div>\n</div>\n<div class='thumb-img-wrap-width-helper'></div>\n<div class='thumb-img-wrap'>\n<a class=\"trk-show-resource\" title=\"2013 AP® Calculus BC Free-Response Questions Ap test prep\" href=\"/teachers/2013-ap-calculus-bc-free-response-questions\"><img class=\"resource-img img-thumbnail img-responsive lozad\" alt=\"2013 AP® Calculus BC Free-Response Questions AP Test Prep\" title=\"2013 AP® Calculus BC Free-Response Questions AP Test Prep\" onError=\"handleImageNotLoadedError(this)\" data-default-image=\"https://statictemp.lp.lexp.cloud/images/attachment_defaults/resource/large/FPO-pdf.png\" data-src=\"//lessonplanet.com/content/resources/thumbnails/396990/large/bwluav9tywdpy2symde5mdmwnc0zmtixos0xmxzkmwtnlmpwzw.jpg?1551714870\" width=\"315\" height=\"220\" src=\"data:image/png;base64,R0lGODlhAQABAAD/ACwAAAAAAQABAAACADs\" />\n</a><i class='fa-solid fa-image fa-6x thumb-img-wrap-icon'></i>\n</div>\n<div class='resource-info-wrap'>\n<div class='resource-info'>\n<div class='resource-info-top overflow-hidden text-ellipsis'>\n<span class='resource-pool-tag'>College Board</span>\n</div>\n<h4 class='resource-title' title='2013 AP® Calculus BC Free-Response Questions'>\n<a class=\"trk-show-resource\" title=\"2013 AP® Calculus BC Free-Response Questions Ap test prep\" href=\"/teachers/2013-ap-calculus-bc-free-response-questions\">2013 AP® Calculus BC Free-Response Questions\n</a></h4>\n<div class='resource-meta text-xs text-gray-600 overflow-hidden text-ellipsis'>\n<i class='lp-icon fa-solid fa-user'></i>\n<span class='resource-audience'>For Students</span>\n<i class='lp-icon fa-regular fa-graduation-cap'></i>\n<span class='resource-grade'>10th - 12th</span>\n</div>\n<div class='resource-description-wrap'>\n<div class='resource-description'>\nApply the skills to problems to ace the AP test. Free-response questions require scholars to take calculus skills and apply them to situations. Pupils use the questions to see how those situations appear on an upcoming exam. Teacher use...\n</div>\n</div>\n<div class='resource-actions bg-white'>\n<a class=\"btn btn-default btn-xs text-xs free-access-btn upgrade-btn\" title=\"Get Free Access to 2013 AP® Calculus BC Free-Response Questions Ap test prep\" data-track-click=\"Search result free access button\" data-track-label=\"Search Page\" data-posthog-event=\"Signup: LP Signup Activity\" data-posthog-location=\"body_button_resources_tab\" data-remote=\"true\" href=\"/subscription/new?signup_resource_id=1069499\"><i class='fa-regular fa-eye'></i>\n<span class='button-text'>Get Free Access</span>\n</a><a class=\"btn btn-default btn-xs text-xs trk-show-resource\" title=\"2013 AP® Calculus BC Free-Response Questions Ap test prep\" href=\"/teachers/2013-ap-calculus-bc-free-response-questions\"><i class='fa-solid fa-list-ul'></i>\n<span class='button-text'>See Review</span>\n</a></div>\n</div>\n</div>\n</div>\n\n</div>\n\n\n","pagination":"<div class='text-center' id='search-pagination'>\n<div role=\"navigation\" aria-label=\"Pagination\" class=\"pagination\"><ul class=\"pagination\"><li class=\"prev previous_page disabled\"><a href=\"#\">&#8592; Previous</a></li> <li class=\"active\"><a rel=\"\" href=\"/lesson-plans/mean-value-theorem\">1</a></li> <li><a rel=\"next\" href=\"/lesson-plans/mean-value-theorem/2\">2</a></li> <li><a rel=\"\" href=\"/lesson-plans/mean-value-theorem/3\">3</a></li> <li><a rel=\"\" href=\"/lesson-plans/mean-value-theorem/4\">4</a></li> <li class=\"next next_page \"><a rel=\"next\" href=\"/lesson-plans/mean-value-theorem/2\">Next &#8594;</a></li></ul></div>\n</div>\n"}