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The Hill
Highlights of the activity
- This small group activity is designed to reinforce the geometric definition of the gradient.
- Students work in small groups to construct the gradient vector at different points on a hill.
- The whole class wrap-up discussion emphasizes that the gradient lives in the domain, not on the graph.
Reasons to spend class time on the activity
- Compare-and-contrast activity emphasizing geometric nature of gradient.
- Reinforces the idea that the gradient is local.
- Useful visualization of the gradient as a vector field.