Learning Resources

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Outcomes

In this lesson you will

  • apply the procedures of this section to the water cooler cup problem

By the end of this section students will be able to:

  • demonstrate an understanding that the slope of a line tangent to a curve at a point is the instantaneous rate of change of the curve at the point of tangency
  • approximate and interpret slopes of tangents to curves at various points on the curves, with and without technology
  • describe and apply rates of change by analyzing graphs, equations, and descriptions of linear and quadratic functions
  • demonstrate an understanding that slope depicts rate of change
  • solve problems involving instantaneous rates of change

Prerequisites

To be successful in this lesson, it would be helpful to know the following:

  • solve problems involving instantaneous rates of change