Why do this
problem?
This
activity
is a great example of how patterns and numbers may be investigated
in everyday contexts. If you are looking for opportunities that
give your pupils chance to follow things up themselves, then this
may be your answer!
Possible approach
This investigation would work well with the children in pairs,
each pair with their own copy of the December calendar section. It
might be helpful to supply them with a paper frame to isolate the
set of four numbers. This can easily be slid around the calendar to
find new sets of four.
The problem begins with the lowest set of numbers simply to
make the addition tasks easy. Later in the investigation encourage
the children to move to the largest numbers they can cope
with. Depending on children's experiences, encourage
them to try and explain any patterns that they find.
Key questions
Tell me about the numbers you've found.
What have you done to get these answers?
Possible extension
If appropriate, guide the children to try multiplying the
numbers and looking for patterns. If the children understand the
basic concept of multiplication but can't readily manage the
calculations, using calculators would be appropriate. This
investigation could be revisited several times, trying different
approaches each time. Encourage the children to discuss discoveries
and suggest new things to try. For example, what happens if the
square box is enlarged to include nine numbers, or a rectangular
frame of six numbers? Test discoveries on other months. What would
happen if we lived somewhere where a week consisted of 6, 5, or
just 4 days?
Possible support
Those you struggle a little may need some help to focus on
which numbers they are dealing with at each moment - an adult
helper would be good.