Recitation 18

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Recitation 18 (Related Rates)[edit]

Objectives:[edit]

  • Students will set-up and solve related rates problems.


Important Notes:[edit]

Lesson Plan[edit]

  • [ (5 minutes)] Welcome the class to recitation. Ask students if they have filled in the notes section of the packet. Tell students that they should be filling in the notes section before coming to recitation.


  • [ (60 minutes)] Have students work through the packet, these are challenging problems and require them to set-up models. There is not really anything to say here other then help the students where they need help but do not give away too much. Tell students that setting up the problem is the skill they need to work on, the calculus is easy. Just a warning, problem 6 should really be the speed of the tip of the shadow with reference to the pole, it is easy to make the mistake of measuring the speed relative to the person.

As a note, problem one may seem like it has nothing to do with related rates. However, implicit differentiation is the backbone of related rates problems. The purpose of problem 1 is to re-familiarize students with implicit differentiation.


  • [ (10 minutes)] Go over two problems that you think are meaningful.