Summer SAVY 2015 (Session 4, Day 9) – The Mathematics of Card Shuffling (Rising 4th/5th)
Posted by on Thursday, July 16, 2015 in SAVY blog.
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!