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Number Bracelets

Number Bracelets. Judith Covington SEOMTC Summer Workshop. Imagine that you have lots of beads numbered 0 to 9. 1. 2. 3. 0. 4. 9. 5. 6. 8. 7. Start with any two beads. 1. 3.

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Number Bracelets

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  1. Number Bracelets Judith Covington SEOMTC Summer Workshop

  2. Imagine that you have lots of beads numbered 0 to 9 1 2 3 0 4 9 5 6 8 7

  3. Start with any two beads 1 3

  4. To determine the next bead, add the value of the two previous beads and record only the units digit of their sum. 1 3 4 7 A sequence becomes a bracelet when the ending two beads are the same as the starting two beads and in the same order.

  5. 1 3 4 7 1 8 9 7 6 3 9 2 3 1

  6. 7 1 8 9 4 7 3 1 6 3 2 9

  7. Record some sequences and see what happens. What questions can you generate and answer?

  8. What questions would you like to share with the rest of the group?

  9. Questions to Explore • How many different possible pairs of numbers can you use to start? • What is the shortest bracelet you have found? • What is the longest bracelet you have found? • What odd and even number patterns are there in all your bracelets? • If you start with two beads with different numbers, but put the beads in the opposite order, do you get the same bracelets? • How many different bracelets are there?

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