Specific Expectations

By the end of the course, students will…

• recognize examples of instantaneous rates of change arising from real-world situations, and
make connections between instantaneous rates of change and average rates of change (e.g., an average rate of change can be used to approximate an instantaneous rate of change)
• determine, through investigation using various representations of relationships (e.g., tables of
values, graphs, equations), approximate instantaneous rates of change arising from real-world
applications (e.g., in the natural, physical, and social sciences) by using average rates of change and reducing the interval over which the average rate of change is determined

Learning Goals

By the end of the lesson, students will…

• Determine the instantaneous rate of change for a function
• Determine the instantaneous rate of change graphically by calculating the slope of a tangent line
• Apply their knowledge of instantaneous rates to real-world scenarios.

Success Criteria

• I can approximate the instantaneous rate of change at a point by using a secant to approximate the slope of the tangent

To check how well you understand the concepts in this lesson, complete the following questions.