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AP Calculus Function Analysis and Accumulation Digital Activity (Digital and Printable)

$3.00

A no-prep Google Slides activity with three AP-style prompts on derivative graph analysis, particle motion, and accumulation functions, plus a printable version and keys.

Description

This Function Analysis and Accumulation Digital Activity for Google Slidesโ„ข gives your AP Calculus AB and BC students three free-response style question stems on analytical applications of differentiation, function analysis, and accumulation of change. Use it as a class assignment, a distance learning activity, or a group assessment.

Question stems:

  1. Derivative graph analysis (drag and drop): Students analyze a graph of fโ€ฒ(x) to locate and justify where f is increasing or decreasing, relative extrema, concavity, and points of inflection.
  2. Particle motion from a velocity graph: Students find the time of greatest speed, acceleration, when the particle moves left or right, intervals where speed decreases, total distance traveled, and the position of the particle at a given time.
  3. Accumulation function: Given a function defined by an integral, k(x) = โˆ’2 + โˆซโ‚€หฃ f(t) dt, students find where k is increasing, write a tangent line, and find absolute extrema and points of inflection with justifications.

What is included?

  • Teacher guide with the Google Slidesโ„ข link (forces a copy to your Google Drive) and tips for sharing with students and using Google Classroom
  • Printable paper and pencil version with cut-out rectangles for the first question
  • Answer keys with justifications

Students can type answers in text boxes, use online math tools, or insert a photo of their work.

Note: You and your students need Internet access and a free Google account to use the digital activity. Google Classroom is not required.

APยฎ is a registered trademark of the College Boardยฎ which was not involved in the creation of, and does not endorse this product.

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