a road up a mountain
A road up a conical mountain is being planned.
Can you devise a measure of "steepness" for the road?
Does your measure depend on where you are on the road?
Can you devise a measure of "curvy-ness" for the road?
Does your measure depend on where you are on the road?
What about a hemispherical mountain?
What problems could/would you set for your students based on this applet?