Common Core · AP Calculus AB

CHA-3.D

AP Calculus AB, Unit 4 — Calculate related rates in applied contexts.

A note on this mapping: The Common Core has no calculus standards; this is the AP Calculus AB learning objective.

The skill that covers it

What a student should be able to do

  • Differentiate a geometric relation with respect to time.
  • Find the rate of change of an area or a volume from the rate of change of a length.
  • Solve a related-rates problem built on the Pythagorean theorem or similar triangles.
  • Identify the known and unknown rates in a word problem before differentiating.

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