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### Powerpoint

1. 1. 1 Choose a point inside the triangle and makea mark there with a dry wipe pen2 Roll the die and use the result to select theappropriate corner of the triangle3 Mark a new point half way between thatcorner and your previous mark4 Repeat steps 2 and 3The chaos game - instructions
2. 2. How would youdescribe thepattern thatforms?Why are there nodots in the largestwhite triangulararea?Can you explainthis pattern?
3. 3. Sierpinskitriangle
4. 4. Now make your own Sierpinskitriangle.How many triangles do you need todraw in at each stage? What is thepattern?How much of the remaining areaare you shading in at each stage?
5. 5. The connection with Pascal’s triangleBy filling in the number of routes to each block, constructa few more lines of Pascal’s triangle.Now colour in the blocks that contain even numbers.What do you notice? Why do you think this happens?1111111111111234 61020563410 51515 611 3535 2121 77
6. 6. The connection with Pascal’s triangleBy filling in the number of routes to each block, constructa few more lines of Pascal’s triangle.Now colour in the blocks that contain even numbers.What do you notice? Why do you think this happens?1111111111111234 61020563410 51515 611 3535 2121 77