It turns out that "instantaneous rate of change" isn't an accurate representation of the derivative. Viewers of the second video in a series of 11 learn about the concept of the derivative, from the limit of a difference quotient to the slope of a tangent line. The video also explains why thinking about derivatives as instantaneous rates of change is paradoxical.

Concepts

derivatives, rate of reaction, instantaneous velocity, tangent lines, slope

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Additional Tags

math

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Instructional Ideas

• Pause video at indicated times to have a class discussion

Classroom Considerations

• Learners should have familiarity with derivatives
• You can view this resource separately from the first video

• This video is hosted on YouTube

Pros

• Thorough explanations make the concept clear
• Interesting graphics and animations are likely to hold pupil interest

Cons

• None