1. Exponents The Giza Pyramids 3 by Flickr user Tom@HK 2. As your work receives world attention, people start to realize that you may be right about the usefulness of math.…

Slide 1 Slide 2 Slide 3 How many squares on a chessboard? Clue 1 1 x 1 = 64 2 x 2 = 49 3 x 3 = 36 4 x 4 = 25 5 x 5 = 16 6 x 6 = 9 7 x 7 = 4 8 x 8 = 1 1 2 + 2 2 + 3 2 + 4…

Slide 1 Invariant Method Lecture 6: Sep 23 1234 5678 9101112 131415 1234 5678 9101112 131514 Slide 2 Domino Puzzle An 8x8 chessboard, 32 pieces of dominos Can we fill the…

Slide 1 Invariant Method Lecture 7 1234 5678 9101112 131415 1234 5678 9101112 131514 Slide 2 Domino Puzzle An 8x8 chessboard, 32 pieces of dominos Can we fill the chessboard?…

Slide 1 Prove the Impossible Lecture 6: Sep 19 (based on slides in MIT 6.042) 1234 5678 9101112 131415 1234 5678 9101112 131514 Slide 2 Domino Puzzle An 8x8 chessboard, 32…