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6.1 Exploring Accumulations of Change

Syllabus
2020
Topic
6.1
Level
—

CHA-4.A—Interpret the meaning of areas associated with the graph of a rate of change in context

  • CHA-4.A Interpret the meaning of areas associated with the graph of a rate of change in context.
  • CHA-4.A.1 The area of the region between the graph of a rate of change function and the x axis gives the accumulation of change.
  • CHA-4.A.2 In some cases, accumulation of change can be evaluated by using geometry.
  • CHA-4.A.3 If a rate of change is positive (negative) over an interval, then the accumulated change is positive (negative).
  • CHA-4.A.4 The unit for the area of a region defined by rate of change is the unit for the rate of change multiplied by the unit for the independent variable.
  • Enduring understanding CHA-4: Definite integrals allow us to solve problems involving the accumulation of change over an interval.

Objective notes

1 learning objective
ConceptAP Calculus BC