The Burning Tent Problem
When on his annual camping trip along the St. Joe River, John, took a hike up Marble Creek. On his return to the campsite, he rounded the last bend in the trail; he could see up ahead that his tent was on fire. A quick glance around told him that he forgot to fill his bucket and take it back to the campsite. Instead John left his water bucket hanging on a branch along the trail he was hiking. John must run to the river fill his bucket and run to the burning tent to put out the fire. What’s the shortest path he can take?
Activity 1: The Guess (conjecture)
Draw a picture with a line segment AB representing the river.