Transcript Number Bracelets

NUMBER BRACELETS
Judith Covington
SEOMTC Summer Workshop
IMAGINE
THAT YOU HAVE LOTS OF BEADS
NUMBERED 0 TO 9
1
0
5
2
6
3
7
4
8
9
START WITH ANY TWO BEADS
1
3
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.
1
3
4
7
1
8
9
7
6
3
1
2
9
3
4
7
1
8
9
7
3
1
2
9
3
6
RECORD
SOME SEQUENCES AND SEE WHAT
HAPPENS.
WHAT
QUESTIONS CAN YOU
GENERATE AND ANSWER?
WHAT QUESTIONS
WOULD YOU LIKE
TO SHARE WITH THE REST OF THE
GROUP?
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?
