Consider a watch face which has identical hands and identical marks
for the hours. It is opposite to a mirror. When is the time as read
direct and in the mirror exactly the same between 6 and 7?
Using the 8 dominoes make a square where each of the columns and
rows adds up to 8
The ten arcs forming the edges of the "holly leaf" are all arcs of
circles of radius 1 cm. Find the length of the perimeter of the
holly leaf and the area of its surface.
Using wood blocks (trominoes from three squares, like dominoes
from two), arranged as a tower, a game of coordination and
experimentation begins as players try not to topple the stack.
Pick up one of the pieces of wood and begin posing some
questions about it.
Let the questions flow and get pursued. Try to encourage
adjustment rather than abandonment when a line of questioning
appears to run out. For example a five by five square can't be made
because each block contributed three squares of area and there are
25 to be covered, so there must be a hole. OK, given there's a
hole, can you make a square ?
Create a competition to produce all rectangles up to side length
Perhaps use a digital camera or the camera in a mobile phone to
catch arrangements quickly. A drawing record may sap energy that
might be used more effectively pursuing the task.