Vedic Worms

Starter Create 4 sequences using the numbers 1-9 once each only Eg) 2 5 6 8 1 9 3 4 7 Write them all in your book, you’ll be using them later…

Vedic Worms A ‘Vedic Worm’ is created using a sequence of numbers, using only those from 1-9, all once each eg) 1 2 3 4 5 6 7 8 9 You pick a starting position, and these are the moves you make…  Start by moving up, then left, then down, then right, by the amounts shown… 1 up 2 left 3 down 4 right 5 up 6 left 7 down 8 right 9 up 1 left 2 down 3 right

Vedic Worms A ‘Vedic Worm’ is created using a sequence of numbers, using only those from 1-9, all once each eg) 4 5 1 3 8 2 9 7 6 You pick a starting position, and these are the moves you make…  Start by moving up, then left, then down, then right, by the amounts shown… 4 up 5 left Using the orders you chose in the starter, see what patterns you end up with!  Think about using different colours for each ‘sequence’ to help keep track of where you are! 1 down 3 right 8 up 2 left 9 down 7 right 6 up 4 left 5 down 1 right

Vedic Worms Can you explain why every pattern ends up back where it started? Let us think about the first pattern: 1 2 3 4 5 6 7 8 9 Each number goes in each direction once  We go one square up, later we go 1 left, then 1 down, then 1 right 1 up 1 left 1 down 1 right 2 left 2 down 2 right 2 up 3 down 3 right 3 up 3 left 4 right 4 up 4 left 4 down 5 up 5 left 5 down 5 right 6 left 6 down 6 right 6 up 7 down 7 right 7 up 7 left 8 right 8 up 8 left 8 down 9 up 9 left 9 down 9 right

Vedic Worms Can you explain why every pattern ends up back where it started? Let us think about the first pattern: 1 2 3 4 5 6 7 8 9 Each number goes in each direction once  We go 4 squares right, later we go 4 up, then 4 left, then 4 down 1 up 1 left 1 down 1 right 2 left 2 down 2 right 2 up 3 down 3 right 3 up 3 left 4 right 4 up 4 left 4 down 5 up 5 left 5 down 5 right 6 left 6 down 6 right 6 up 7 down 7 right 7 up 7 left 8 right 8 up 8 left 8 down 9 up 9 left 9 down 9 right The fact the directions are mixed up does not matter. Since all would end up back at the starting point, so will the whole pattern!

Summary We have looked at creating symmetrical patterns using a sequence of numbers We have also seen why the patterns always ‘join up’