Why do this
problem?
This game reinforces negative numbers and their relationship to
positive numbers. The second version takes the game to a higher
level as pupils will be making decisions as to which calculation to
perform and why.
Possible approach
Start by dividing the class into two teams, one Positive and
one Negative, to play against each other on the interactive
whiteboard. Throw two dice and call out the numbers for each team's
turn, inviting a child to come up and move the counter each time.
Having played a few times, ask the children whether they think it
would be a better game if the counter has to reach the end exactly.
Decide on some new rules to test this out and ask the children to
play in pairs. It is a valuable activity in itself for them to draw
out their own number line.
Bring the class together and ask which version of the game
they thought was better and why. Listen out for children who back
up their opinion with a clear reason. Next, introduce a new version
whereby children can add, subtract, multiply or divide the dice
numbers. Play in two teams using the interactive whiteboard again
to get a feel for this new game. Each time you throw the dice, ask
the children what the possibilities are and discuss which would be
best in terms of the move to be made and why. Then invite pairs to
play on paper (they can decide whether the counter needs to reach
the end of the board exactly or not).
In the plenary, ask the class which version of the game they
thought was best and why. In this case, draw out responses which
indicate that the choice of operation means players are more in
control. You could suggest that children invent their own rules to
make better games, perhaps over a longer period of time, and you
could dedicate an area of your wall to their ideas.
Key questions
Is it better to play a game where you have to reach the end
exactly, or where you can go over the end? Why?
Shall we add, subtract, multiply or divide the two numbers?
Why?
Is it better to play a game where you can choose the operation
you apply to the numbers on the dice? Why?
Can you think of some different rules of your own?
What makes your game better than the other versions?
Possible extension
You could take the mathematics in the game further still by
explicitly discussing addition and subtraction using negative
numbers.
Possible support
Learners could play
Tug of War before they try this version of the game. You may
want to have multiplication squares available so that children do
not worry about the calculations as such but concentrate on the
strategy.