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      <title>Calculus Lesson Plan: Understanding Related Rates by Ashraf Allam</title>
      <link>https://padlet.com/Mr_Ashr_Afallam/aqm10ifd6u355lar</link>
      <description>A comprehensive lesson exploring the application of derivatives in related rates problems for higher education students</description>
      <language>en-us</language>
      <pubDate>2025-02-21 10:44:40 UTC</pubDate>
      <lastBuildDate>2025-02-21 10:44:47 UTC</lastBuildDate>
      <webMaster>hello@padlet.com</webMaster>
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      <item>
         <title>Main Objective</title>
         <author>Mr_Ashr_Afallam</author>
         <link>https://padlet.com/Mr_Ashr_Afallam/aqm10ifd6u355lar/wish/3337535746</link>
         <description><![CDATA[By the end of this lesson, students will be able to solve related rates problems by applying the chain rule and implicit differentiation to real-world scenarios.]]></description>
         <pubDate>2025-02-21 10:44:41 UTC</pubDate>
         <guid>https://padlet.com/Mr_Ashr_Afallam/aqm10ifd6u355lar/wish/3337535746</guid>
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      <item>
         <title>Specific Goals</title>
         <author>Mr_Ashr_Afallam</author>
         <link>https://padlet.com/Mr_Ashr_Afallam/aqm10ifd6u355lar/wish/3337535748</link>
         <description><![CDATA[Students will:<br>- Set up equations relating multiple variables<br>- Apply implicit differentiation with respect to time<br>- Interpret rates of change in context<br>- Solve practical problems involving related rates]]></description>
         <pubDate>2025-02-21 10:44:41 UTC</pubDate>
         <guid>https://padlet.com/Mr_Ashr_Afallam/aqm10ifd6u355lar/wish/3337535748</guid>
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      <item>
         <title>Essential Question</title>
         <author>Mr_Ashr_Afallam</author>
         <link>https://padlet.com/Mr_Ashr_Afallam/aqm10ifd6u355lar/wish/3337535751</link>
         <description><![CDATA[How can we use calculus to model and solve real-world problems where multiple quantities change simultaneously?]]></description>
         <pubDate>2025-02-21 10:44:41 UTC</pubDate>
         <guid>https://padlet.com/Mr_Ashr_Afallam/aqm10ifd6u355lar/wish/3337535751</guid>
      </item>
      <item>
         <title>Introduction &amp; Motivation</title>
         <author>Mr_Ashr_Afallam</author>
         <link>https://padlet.com/Mr_Ashr_Afallam/aqm10ifd6u355lar/wish/3337535752</link>
         <description><![CDATA[Real-world example: A conical water tank is being filled. How does the height of water relate to its volume over time?]]></description>
         <enclosure url="https://vectorportal.com/storage/flask-chemical.jpg" />
         <pubDate>2025-02-21 10:44:41 UTC</pubDate>
         <guid>https://padlet.com/Mr_Ashr_Afallam/aqm10ifd6u355lar/wish/3337535752</guid>
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      <item>
         <title>Direct Instruction</title>
         <author>Mr_Ashr_Afallam</author>
         <link>https://padlet.com/Mr_Ashr_Afallam/aqm10ifd6u355lar/wish/3337535766</link>
         <description><![CDATA[Teacher demonstrates the steps for solving related rates:<br>1. Draw a diagram<br>2. List known variables and rates<br>3. Write an equation relating variables<br>4. Differentiate with respect to time<br>5. Substitute known values and solve]]></description>
         <enclosure url="https://www.youtube.com/watch?v=kQF9pOqmS0U" />
         <pubDate>2025-02-21 10:44:42 UTC</pubDate>
         <guid>https://padlet.com/Mr_Ashr_Afallam/aqm10ifd6u355lar/wish/3337535766</guid>
      </item>
      <item>
         <title>Guided Practice</title>
         <author>Mr_Ashr_Afallam</author>
         <link>https://padlet.com/Mr_Ashr_Afallam/aqm10ifd6u355lar/wish/3337535767</link>
         <description><![CDATA[Students collaborate on Padlet to solve: A ladder sliding down a wall. Share diagrams and solution steps with class discussion.]]></description>
         <pubDate>2025-02-21 10:44:42 UTC</pubDate>
         <guid>https://padlet.com/Mr_Ashr_Afallam/aqm10ifd6u355lar/wish/3337535767</guid>
      </item>
      <item>
         <title>Interactive Examples</title>
         <author>Mr_Ashr_Afallam</author>
         <link>https://padlet.com/Mr_Ashr_Afallam/aqm10ifd6u355lar/wish/3337535802</link>
         <description><![CDATA[Work through these GeoGebra simulations to visualize related rates problems]]></description>
         <enclosure url="https://www.geogebra.org/m/FARax9ms" />
         <pubDate>2025-02-21 10:44:44 UTC</pubDate>
         <guid>https://padlet.com/Mr_Ashr_Afallam/aqm10ifd6u355lar/wish/3337535802</guid>
      </item>
      <item>
         <title>Extension Activity</title>
         <author>Mr_Ashr_Afallam</author>
         <link>https://padlet.com/Mr_Ashr_Afallam/aqm10ifd6u355lar/wish/3337535803</link>
         <description><![CDATA[Advanced students: Investigate related rates in optimization problems involving maximum/minimum scenarios.]]></description>
         <pubDate>2025-02-21 10:44:44 UTC</pubDate>
         <guid>https://padlet.com/Mr_Ashr_Afallam/aqm10ifd6u355lar/wish/3337535803</guid>
      </item>
      <item>
         <title>Remediation Support</title>
         <author>Mr_Ashr_Afallam</author>
         <link>https://padlet.com/Mr_Ashr_Afallam/aqm10ifd6u355lar/wish/3337535814</link>
         <description><![CDATA[Review of chain rule and implicit differentiation with additional practice problems]]></description>
         <enclosure url="https://tutorial.math.lamar.edu/problems/calci/implicitdiff.aspx" />
         <pubDate>2025-02-21 10:44:45 UTC</pubDate>
         <guid>https://padlet.com/Mr_Ashr_Afallam/aqm10ifd6u355lar/wish/3337535814</guid>
      </item>
      <item>
         <title>Formative Check</title>
         <author>Mr_Ashr_Afallam</author>
         <link>https://padlet.com/Mr_Ashr_Afallam/aqm10ifd6u355lar/wish/3337535818</link>
         <description><![CDATA[Students share their work on a collaborative Padlet board, explaining their problem-solving process for peer review.]]></description>
         <pubDate>2025-02-21 10:44:45 UTC</pubDate>
         <guid>https://padlet.com/Mr_Ashr_Afallam/aqm10ifd6u355lar/wish/3337535818</guid>
      </item>
      <item>
         <title>Quick Quiz</title>
         <author>Mr_Ashr_Afallam</author>
         <link>https://padlet.com/Mr_Ashr_Afallam/aqm10ifd6u355lar/wish/3337535836</link>
         <description><![CDATA[Three related rates problems of increasing difficulty to assess understanding.]]></description>
         <enclosure url="https://tutorial.math.lamar.edu/problems/calci/relatedrates.aspx" />
         <pubDate>2025-02-21 10:44:47 UTC</pubDate>
         <guid>https://padlet.com/Mr_Ashr_Afallam/aqm10ifd6u355lar/wish/3337535836</guid>
      </item>
      <item>
         <title>Group Assessment</title>
         <author>Mr_Ashr_Afallam</author>
         <link>https://padlet.com/Mr_Ashr_Afallam/aqm10ifd6u355lar/wish/3337535837</link>
         <description><![CDATA[In pairs, students create and solve their own related rates problem, presenting their work to the class.]]></description>
         <pubDate>2025-02-21 10:44:47 UTC</pubDate>
         <guid>https://padlet.com/Mr_Ashr_Afallam/aqm10ifd6u355lar/wish/3337535837</guid>
      </item>
      <item>
         <title>Summary Discussion</title>
         <author>Mr_Ashr_Afallam</author>
         <link>https://padlet.com/Mr_Ashr_Afallam/aqm10ifd6u355lar/wish/3337535842</link>
         <description><![CDATA[Class discussion: What are the key steps in solving any related rates problem? What common mistakes should we avoid?]]></description>
         <pubDate>2025-02-21 10:44:47 UTC</pubDate>
         <guid>https://padlet.com/Mr_Ashr_Afallam/aqm10ifd6u355lar/wish/3337535842</guid>
      </item>
      <item>
         <title>Exit Ticket</title>
         <author>Mr_Ashr_Afallam</author>
         <link>https://padlet.com/Mr_Ashr_Afallam/aqm10ifd6u355lar/wish/3337535843</link>
         <description><![CDATA[Individual reflection:<br>1. What was the most challenging part of today's lesson?<br>2. How does related rates connect to real-world applications?<br>3. What questions do you still have?]]></description>
         <pubDate>2025-02-21 10:44:47 UTC</pubDate>
         <guid>https://padlet.com/Mr_Ashr_Afallam/aqm10ifd6u355lar/wish/3337535843</guid>
      </item>
      <item>
         <title>Practice Problems</title>
         <author>Mr_Ashr_Afallam</author>
         <link>https://padlet.com/Mr_Ashr_Afallam/aqm10ifd6u355lar/wish/3337535858</link>
         <description><![CDATA[Complete 5 related rates problems from the provided worksheet, showing all steps clearly.]]></description>
         <enclosure url="https://home.cc.umanitoba.ca/~borgerse/12R-T1/MATH1500/Worksheets/RelatedRatesWorksheet.pdf" />
         <pubDate>2025-02-21 10:44:48 UTC</pubDate>
         <guid>https://padlet.com/Mr_Ashr_Afallam/aqm10ifd6u355lar/wish/3337535858</guid>
      </item>
      <item>
         <title>Real-World Application</title>
         <author>Mr_Ashr_Afallam</author>
         <link>https://padlet.com/Mr_Ashr_Afallam/aqm10ifd6u355lar/wish/3337535859</link>
         <description><![CDATA[Find and analyze a real-world scenario that involves related rates. Create a brief video explanation to share in next class.]]></description>
         <pubDate>2025-02-21 10:44:48 UTC</pubDate>
         <guid>https://padlet.com/Mr_Ashr_Afallam/aqm10ifd6u355lar/wish/3337535859</guid>
      </item>
      <item>
         <title>Online Practice</title>
         <author>Mr_Ashr_Afallam</author>
         <link>https://padlet.com/Mr_Ashr_Afallam/aqm10ifd6u355lar/wish/3337535880</link>
         <description><![CDATA[Complete the interactive exercises on related rates]]></description>
         <pubDate>2025-02-21 10:44:50 UTC</pubDate>
         <guid>https://padlet.com/Mr_Ashr_Afallam/aqm10ifd6u355lar/wish/3337535880</guid>
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