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MathMagic Cycle 14: Level 4-6 Regular
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1 2 3
----- ----- ----- Using small chips, buttons or cutouts labeled K,
| | | | L,M, X and Y place them in the squares in this
A | | | | order: K in A1; L in A2; X in A3; M in B1 and
| | | | Y in B3.
----- ----- -----
| | | | Sliding horizontally (right & left) or vertically
B | | | | (up & down) one chip at a time, can you make the
| | | | X and the Y change places?
----- ----- -----
You should be able to do it under 20 moves, but
probably in more than 12. Use a table like this one to keep track of your
moves:
|Move#|letter| from | to | Also, use this scale to rate your
|-----+------+------+------| results:
| 1 | L | A2 | B2 | 12 moves: Extraordinary
|-----+------+------+------| -
| | | | | 14 moves: Outstanding
|-----+------+------+------| -
| | | | | 16 moves: Superior
|-----+------+------+------| -
| | | | | 18 moves: Very Good
|-----+------+------+------| -
| | | | | 20 moves: Great
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MathMagic Cycle 14: Level 4-6 Advanced
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The ODD TIMES TABLE
1 2 3 4 5 6 7 8 9 10 On an 18X18 grid we are going to create an odd
- - - - - - - - - -- times table. Instead of writing the product un-
1 |1 2 3 4 5 6 7 8 9 der the column and across the row, we are
2 |2 4 6 8 1 3 going to write the repeated sum of each number:
3 |3 6 9 3 for 8x6=48 we need to add 4+8=12 and repeat the
4 |4 8 sum until we have one digit: 1+2=3
5 |
6 | 3 Your and your NTP's job is to complete the odd
7 | table and to analyze the result, and come up
8 | with some conclusions that can be turned into
9 | "predictions". Look for lines of symmetry (a
10 | line that creates a mirror image); horizontal
vertical or diagonal patterns, and any opera-
tion that works with the numbers inside the
box. Each "prediction" that you can explain and demonstrate will be called
a hypothesis, and will give your team one point. Here is a chance to show
all the other MathMagic teams how clever you are!
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