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Getting Round the City printable sheet
The grid below represents a city laid out in "blocks" with all the roads running north-south, or east-west.
Imagine two friends live where the red and blue dots are on the grid.
The animation shows three paths that one friend could choose if he wanted to visit the other. He likes to find the shortest routes possible, so he always travels north or east, never south or west.
What interesting mathematical questions could you explore on a city grid like this one?
Click below for some ideas.
Investigate how you can work out what day of the week your birthday will be on next year, and the year after...
15 = 7 + 8 and 10 = 1 + 2 + 3 + 4. Can you say which numbers can be expressed as the sum of two or more consecutive integers?
How many different ways can I lay 10 paving slabs, each 2 foot by 1 foot, to make a path 2 foot wide and 10 foot long from my back door into my garden, without cutting any of the paving slabs?