Intro Question: The Dance of Distance
Consider the diagram that is on the board: We've got two points, some distance from a line. If I start at point A, what is the shortest distance I can go that would touch the line and then end up at point B?
How do you KNOW that's the right answer?
You've convinced yourself, and hopefully your group of the right answer. What if you had to convince someone else, outside the group? What if you had to convince your mortal enemy? What evidence could you use to show that you were right and that your enemy cannot stand up to your logical rigor?
Those two bullet points are, by far, the most important part of this class. They are the thing we care about the most. They are the reason we do math.
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In Class Activity: Stickies with Numbers.
As a group, you will be given 10 Sticky notes with numbers on them. Your job is to organize them (as a group) in some way that makes sense to you.