AP Test Prep

Calculus AB/BC - Exploring Accumulation of Change

Curated and Reviewed by Lesson Planet

Add up area to find total change. Pupils learn what it means to find the area under a curve and how to calculate it geometrically. They first find the accumulation of change given a rate of change function. Scholars then apply that knowledge to particle motion problems along with other changing rate situations.

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Additional Tags
Instructional Ideas
  • Lead a discussion to ensure the class understands the idea of negative areas and what it means within different contexts
Classroom Considerations
  • Requires the ability to find areas of composite geometric shapes
  • First lesson in a 16-part Integration unit
  • This video is hosted on YouTube
Pros
  • Connects the concept of area under the curve to a simple distance rate problem to show equivalent solutions
  • Contains additional practice problems for those needing extra work
Cons
  • None