Geometry to the rescue. By watching a video, scholars see how geometric concepts help explain derivative formulas: areas of rectangles and volumes of rectangular prisms for the Power Rule and similarity and trig ratios for the Sine Rule.

Concepts

derivatives, geometric, area model, area, trigonometric ratios, similarity

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Additional Tags

math

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Instructional Ideas

• Have learners explain the derivatives of 1/x and sqrt(x) using geometry in a journal entry

Classroom Considerations

• Pupils should have some familiarity with derivatives
• Video builds on previous video
• Third installment of an 11-part series

• This video is hosted on YouTube

Pros

• Animations on graphs aid in visualizing the relationship between a function and its derivative
• Explanations are clear and illuminating

Cons

• None