The fourth student changes the state of every fourth locker beginning with number 4. Imagine that this continues until the thousand students have followed the pattern with the thousand lockers. A teacher lesson plan is provided. Interactive resources include a message board, calculus board, formula database, quizzes, math links, and a place to send feedback. Each problem has a symbol indicating the stage, which tells you how little or how much mathematics you need to know to solve the problem but is no indication of its difficulty.
Students then revisit the activity, look for patterns, and write the answer algebraically.
On the three lefthand stones, facing the center, stand three of the people. The other three people stand on the three righthand stones, also facing the center. The center stone is not occupied. Everyone must move so that the people originally standing on the righthand stepping stones are on the lefthand stones, and those originally standing on the lefthand stepping stones are on the righthand stones, with the center stone again unoccupied. A teacher lesson plan is provided.