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Visual Representations of Number Sequences with Prediction

Explore various ways to represent number sequences and predict patterns visually. Choose a sequence, apply rules, create graphs, and test predictions. Engage in interactive activities to enhance mathematical skills.

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Visual Representations of Number Sequences with Prediction

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  1. Starter – Can you represent the blue sequence in the different ways shown?

  2. Picture of sequence Nth term 3,5,7,9,11,13,… Table of results Term to term rule

  3. Picture of sequence Nth term x2 + 1 2n + 1 3,5,7,9,11,13,… Add 2 on each time Table of results Term to term rule

  4. Is there a visual way to display this information on paper? How can you predict the next pattern?

  5. X 9 8 X 7 6 X 5 4 X Graph showing the sequence 2n + 1 3 2 1 4 3 1 2

  6. Graph showing the sequence 2n + 1

  7. Task 1 Pick one of the following sequences and represent it in the ways show. When you have done it put your sequence onto a graph

  8. Picture of sequence Nth term 6,9,12,15,… Table of results Term to term rule

  9. Picture of sequence Nth term 4,11,18,26,… Table of results Term to term rule

  10. Picture of sequence Nth term 16,10,4,-2 Table of results Term to term rule

  11. Picture of sequence Nth term 2,8,18,32,… Table of results Term to term rule

  12. Describing the pattern so far… Table of values Drawing of sequence 3,5,7,9,11,13,… Graph x2 + 1 Nth term rule Term to term rule Add 2 on each time 2n + 1

  13. Mini White Boards Ready

  14. True or False? 4, 7, 10, 13, 16, 19, This next term in this sequence is 22?

  15. True or False? 4, 7, 10, 13, 16, 19, If I told someone that this sequence went up by 3 that would be enough information for them to write down the first 5 terms of the sequence without having seen it.

  16. True or False? 4, 7, 10, 13, 16, 19, This third term in this sequence is 10?

  17. True or False? 4, 7, 10, 13, 16, 19, The 5th term in this sequence is 16 16 x 2 = 32 so the 10th term must be 32

  18. True or False? 4, 7, 10, 13, 16, 19, This sequence starts on 4 and goes up by 3 so the nth term rule is 4n + 3

  19. True or False? 4, 7, 10, 13, 16, 19, The 100th term in this sequence is 403

  20. True or False? 4, 7, 10, 13, 16, 19, 52 is not a number in this sequence.

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