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'Street Sequences' printed from http://nrich.maths.org/
Let's look at a street!
Most of the streets around here have their numbers going in order from one side of the street to the other - so that odds end up on one side and evens on the other.
So here's what is could be like:
Looking from above the numbers could appear as:
Well you can imagine walking down this street and adding the house numbers in various ways.
You could start with adding in pairs across the street:
and carry on as far as you can.
Explore the answers you get for these additions. What do you notice?
Can you explain why?
If you want to go a bit further with this you could change the grouping of houses in different ways. How about:
But maybe the houses are already grouped in some way - like all semi-detached:
Then one side of the street the totals are: 4, 12, 20, etc
and the other side are: 6, 14, 22 etc.
You could continue this and explore it further.
Some streets have terraces of three houses together:
and some have fours:
You can explore the addition of these groups too!