IROC vs AROC
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Lesson Summary:
In this lesson, students learn about comparing instantaneous rates of change with average rates of change for a Cartesian graph of a function. The video explains how to distinguish between the two and uses examples to demonstrate the comparison. It also highlights the importance of understanding the negative or positive slope of each rate of change and how it affects the comparison result. The lesson provides students with a clear understanding of how to compare and distinguish between instantaneous and average rates of change.
Lesson Description:
Given a Cartesian graph of a function be able to compare instantaneous rates of change with average rates of change.
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Questions answered by this video:
- What is the difference between average rate of change and instantaneous rate of change?
- When does a tangent line for a curve cross or pass through the curve?
- When is instantaneous rate of change larger than average rate of change?
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Staff Review
This lesson explains the difference between instantaneous rate of change and average rate of change. You will see the graph of a function and compare the average rate of change between two points and the instantaneous rate of change at a point in between the endpoints for the average rate of change. This is a very interesting lesson.
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