Why do this problem?
This
problem introduces sequences in a simple way using a familiar
resource. The sequences become increasingly complex so that there
is also a challenge for learners.
Possible approach
You might need to spend
some time exploring dominoes in general before tackling this
problem, depending on how familiar the children are with
dominoes.
Look at the first
sequence together, perhaps using giant dominoes on the floor, or
some on the interactive whiteboard (you might find our
Dominoes Environment useful). Ask children to talk in pairs
about what they notice and then share ideas with the whole group.
Then invite them to suggest how the pattern could be continued,
focusing on their explanations and justifications.
Once the learners have
tried this first one together, they should be able to work in their
pairs on the rest of the problem. They might find
this sheet of the problem
useful.
Key questions
What do you notice about
the numbers at the top of the dominoes? What will the next one
be?
What do you notice about
the numbers at the bottom of the dominoes? What will the next one
be?
Can you explain the
pattern?
Possible extension
Learners could use
dominoes to make their own sequences for a friend to continue. They
could make some sequences with a nine-spot set of dominoes, using
this sheet of
them.
Possible support
Having a number line or number square available to mark off numbers
might help children identify a pattern.
Handouts for teachers are available here (
word
document,
pdf
document), with the problem on one side and the notes on the
other.