This investigation explores using different shapes as the hands of the clock. What things occur as the the hands move.
During the third hour after midnight the hands on a clock point in the same direction (so one hand is over the top of the other). At what time, to the nearest second, does this happen?
How good are you at estimating angles?
How many times in twelve hours do the hands of a clock form a right angle?
What are these times to the nearest minute?