# Calculus: Logistic Growth and Newton's Cooling Law

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1. This is the bundled unit for UNIT 7: ADVANCED TECHNIQUES OF INTEGRATIONEach lesson provides:✎ A set of Guided Notes which is a full-sheet skeleton format of the lesson, ✎ Teachers have a fully-editable SMART Board® presentation that matches set of Guided Notes.The bundle includes:★ 2 Bonus Mini-assi
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This is the final lesson in an eight-lesson unit on Advanced Techniques of Integration for students enrolled in AP Calculus BC or Calculus 2. Every lesson includes

✎ A set of Guided Student Notes

✎ A daily homework assignment

✎ Two forms of a daily homework quiz or exit ticket

✎ Teachers also have the benefit of a fully-editable SMART Board® Lesson for presentation and discussion.

Lesson Objective:

★ Solve and analyze logistic differential equations

★ Use logistic differential equations to model and solve applied problems.

★ Use Newton’s Cooling Law to solve applied problems.

College Board® Learning Objectives:

★ LO3.5A (BC) Analyze differential equations to obtain general and specific solutions.

★ EK 3.5A1 Antidifferentiation can be used to find specific solutions to differential equations with given initial conditions, including applications to motion along a line, exponential growth and decay, and logistic growth.

★ LO3.5B Interpret, create, and solve differential equations from problems in context.

★ EK 3.5B2 (BC) The model for logistic growth that arises from the statement "The rate of change of a quantity is jointly proportional to the size of the quantity and the difference between the quantity and the carrying capacity" is dy/dt = ky(a-y)

The unit includes the following topics:

8. Logistic Growth Problems

The SMART Board lesson can be used in many ways.

Teachers can display the presentation using the following:

* SMART Board®

* Airliner Wireless Slate

* Through the SMART Notebook Express ®

* Other APPS available for Tablets

If you have any questions or comments

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Total Pages
11 pages
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Teaching Duration
50 minutes
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