A school has 1,000 students and 1,000 lockers. On the first day of school, all the lockers are open.
Student #1 closes each locker.
Student #2 opens each second locker.
Student #3 changes the state of each third locker (i.e. opens them if they are closed, or closes them if they are open)
...and so on, until all 1,000 students have had their turn.After all 1,000 lockers are done, which lockers are open? Which are closed? Why?
Think about how you approach and work on this problem. What mathematical thinking and mathematical problem solving strategies do you do?
Save your notes, drawings, diagrams, right and wrong turns, conjectures, changes of approach and other notes to post on your blog by Tuesday Sept 15 in the evening and discuss with classmates on Wednesday Sept 16.
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