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===== Chain Rule Measurements: Instructor's Guide =====



==== Main Ideas ====
  * Measuring slope along various directions at a point on the surface
  * Experimentally verifying the chain rule relation: $\frac{\partial f}{\partial r}=\frac{\partial f}{\partial x}\frac{\partial x}{\partial r}+\frac{\partial f}{\partial y}\frac{\partial y}{\partial r}$ 





==== Students' Task ====
//Estimated Time: 20 minutes//

See handout on activity page.

==== Prerequisite Knowledge ====
  * Familiarity with the multivariable chain rule



==== Props/Equipment ====
 
  * [[:Props:start#whiteboards|Tabletop Whiteboard]] with markers
  * [[:Props:start#Surfaces|Surface Kit]]
  * A handout for each student

==== Activity: Introduction ====


==== Activity: Student Conversations ====

  * Some students may be confused by the (lack of) dimensions of slope

==== Activity: Wrap-up ====


==== Extensions ====