Calculus 2, Calculus BC: Arc Length
This is the sixth 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.
★ Find the arc length of a smooth curve
College Board® Learning Objectives:
★ LO3.4D (BC) Apply definite integrals to problems involving area, volume, and length of a curve.
★ EK 3.4D3 (BC) The length of a planar curve defined by a function or by a parametrically defined curve can be calculated using a definite integral.
The unit includes the following topics:
1. Indeterminate Forms and L'Hospital's Rule
2. Integration by Parts
3. Partial Fractions and Long Division
4. Trigonometric Integration and Completing the Square
5. Improper Integrals
6. Arc Length
7. Euler's Method
8. Logistic Growth and Newton's Cooling Law
The SMART Board lesson can be used in many ways.
Teachers can display the presentation using the following:
* SMART Board®
* Airliner Wireless Slate
* SMART Notebook for IPAD App
* Through the SMART Notebook Express ®
* Promethean Boards©
* Other APPS available for Tablets
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