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FIXME[REFER TO VFHILLNAV AND VFGRADIENT ACTIVITIES FOR FILLING OUT THIS GUIDE, AS WELL AS THESE VIDEOS ON THE NAS: vf13102303main, vf16100713mpt2]

===== Gradient with Surfaces: Instructor's Guide =====

==== Main Ideas ====
  * Experimentally calculating the gradient
  * Visualizing the geometric relationship between the gradient and a scalar field
  * Clarification of how gradients look in two and three dimensions. 
==== Students' Task ====
//Estimated Time: 5 - 10 minutes //

==== Prerequisite Knowledge ====
  * Students should be familiar with vectors and with differential calculus.
  * A rudimentary understanding how a gradient acts on a scalar field.
==== Props/Equipment ====

  * [[:Props:start#whiteboards|Tabletop Whiteboard]] with markers
  * A [[:Props:start#surfaces|surface]] and its corresponding [[:Props:start#contourmaps|contour map]] for each group
  * A handout for each student

==== Activity: Introduction ====
==== Activity: Student Conversations ====
==== Activity: Wrap-up ====
==== Extensions ====