Students graph three functions on the same domain that go through the same three points. They then find the shortest of each of the paths through these points using the CAS of their TI-89 and calculus.
Before the Activity
Students should have access to TI-89/TI-89 Titanium and TI-92 Plus/Voyage.
During the Activity
The document attached is the activity guide. Provide each student with a printed copy of this document.
After the Activity
Review student results and, as a class, discuss questions that appeared to be more challenging. Re-teach concepts as necessary.