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