Learning Resources

Outcomes

In this lesson you will

• Apply the concepts and skills learned about the rate of change to manufacturing water cooler cups.

By the end of this section you should be able to:

• Demonstrate an understanding that the slope of a line tangent to a curve 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:

• How to find the average (mean) of a set of data.
• The concept of average speed as distance/time.
• How to calculate the slope of a line.
• How to calculate the circumference and area of a circle.
• The concept of a sector of a circle and how to determine what percent of the total area it is.
• How to calculate the volume of a cone.