Summer SAVY 2015 (Session 4, Day 9) – The Mathematics of Card Shuffling (Rising 4th/5th)
Today students finally made the connection between the card shuffling and modular arithmetic. We spent the first part of class calculating the powers of 2 and 3 in various mods, using the big multiplication tables the students had made yesterday. We then made a table that contained all of the powers of 2 in various mods.
When we put this list up next to the list of 1st-card paths that we’d made earlier in the week, there was a collective gasp as kids realized they were essentially the same table!