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Finding position-to-term rules

Finding position-to-term rules. Finding position-to-term rules. Finding position-to-term rules. Finding position-to-term rules. Finding position-to-term rules. Finding position-to-term rules. Finding position-to-term rules. Finding position-to-term rules.

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Finding position-to-term rules

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  1. Finding position-to-term rules

  2. Finding position-to-term rules

  3. Finding position-to-term rules

  4. Finding position-to-term rules

  5. Finding position-to-term rules

  6. Finding position-to-term rules

  7. Finding position-to-term rules

  8. Finding position-to-term rules

  9. Find position-to-term rules for these sequences:

  10. Squares investigation

  11. Squares investigation Imagine a 3 x 3 square:

  12. Squares investigation Imagine a 3 x 3 square: Colour the outside red:

  13. Squares investigation Imagine a 3 x 3 square: Colour the outside red:

  14. Squares investigation How many of the small squares have • 0 redsides? • 1 red side? • 2 red sides? • 3 red sides? • 4 red sides?

  15. Squares investigation Now change the size of the starting square to • 2 x 2 ? • 4 x 4 ? • etc…

  16. Squares investigation How many of the small squares now have • 0 redsides? • 1 red side? • 2 red sides? • 3 red sides? • 4 red sides? INVESTIGATE!

  17. Generalising from Diagrams 8 by 8

  18. Generalising from Diagrams 20 by 20 50 by 50 2 red sides = ? 1 red side = ? 0 red sides = ? 100 by 100 n by n

  19. Generalising from Diagram 20 by 30 2 red sides = ? 1 red side = ? 0 red sides = ? 50 by 40 90 by 50 a by b

  20. Squares investigation Put your results into a table! (If you need to) Work methodically! Spot patterns! Try to find some general rules!

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