june 15

1. We'll work again on residues, or remainders of dividing n by m: how many apples left if we try to split 7 between 2 people? 3 people?

Then, if we know that dividing between 3 leaves 2 apples, and dividing between 2 leaves none, how many apply one can have?

2. Some puzzles with lego pieces: how to assemble a solid 2x2x4 piece out of 8 1x1x2 pieces? How to assemble a blob with 5 colors so that each color touches each?

3. Can you design a baby version of SpotIt game? Say, 4 cards with 3 elements on each so that any 2 cards have exactly 1 element in common?

4. We'll try to learn how to add vectors on the plane (by concatenating programs that describe them).

For the experiment, we'll look at the capillary effect (microscope plates are handy!).