M.I.T.
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FIRST MEETING:

How to make tetrahedra and cubes with their fingers
The grab-a-hand party game
Making trefoils and Borromean rings (3 people)
Pictures of knots; Reidemeister moves
Knots with 1, 2, and 3 crossings (turning circles and figure 8's inside out)
Manipulating trefoils
The belt-trick
Inverting the trefoil 

SECOND MEETING:

The coloring-argument for the non-triviality of the trefoil
Torus-knots with doughnuts and string 
Inverting the trefoil (more deliberately); adding half-hoops, music
Trick with Borromean rings (linking two unlinks the third)
Making a figure-eight knot
Handing out article from The American Scientist

U.W.
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Making trefoils and Borromean rings (3 people)
Pictures of knots; Reidemeister moves
Knots with 1, 2, and 3 crossings (turning circles and figure 8's inside out)
Manipulating trefoils
Taking the figure eight to its mirror image
Sliding a trefoil along itself
Undoing a double-loop
Inverting the trefoil 
Making a figure-eight knot