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From Year $4$ at Queen Edith School, Cambridge
we had the following rather good idea sent in.
After we had got the idea of following a number on its journey, we
split up the work of checking out lots of numbers. Some of us began
with numbers in the $30$s, some with numbers in the $40$s, and so
We found that all the numbers we tried ended up on one of three
$2, 4, 8, 16, 14, 10, 2, 4, 8,$ ... which we called the "red"
$6, 12, 6, 12,$ ... which we called the "green" journey
$18, 18, 18,$ ... which we called the "blue" journey
Next, we used a $100$ square on the Smartboard, and coloured the
numbers to match their journeys. After we had coloured a few of the
numbers, some of us spotted patterns beginning to show, like the
blue diagonal from $81$ up to $9$. We predicted that other numbers
on the diagonal would also be blue and checked them out. We also
saw green squares along diagonals and made more predictions.
Finally, we made a display using the 100 square and some of our
work to challenge other children to predict the journeys for some
of the squares we had not coloured.
Can you predict a journey and then check if you were right?
From Krystof in Prague and
Matthew from Hamworthy Middle School we had had similar
results. From Karin in West Acton in London we had a clever
further idea sent in.
My rule for "Follow the
Numbers" is to work out the difference between the $2$ digits and
add $5$ to the difference.
Here is some of my "Follow the Numbers"
Starting number:$83 83,10,06,11,05,10...$
On my "Follow the Numbers", most of my numbers had a pattern of
Well done Karin, I like this very much, others
of you could try your own rules.