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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

- Tabletop Whiteboard with markers
- A handout for each student

### Activity: Introduction

### Activity: Student Conversations

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