A game of Scrabble was played by two mathematics students,
and peculiarly enough, every word was a math word (or almost!).
The game was played on a regulation Scrabble board using the
standard rules for Scrabble. The following abbreviations are
used on the board: TWS = Triple Word Score; DWS = Double
Word Score; TLS = Triple Letter Score; and DLS = Double Letter
Score. The chart below gives the frequency and the value of the
letter tiles:
| Tile | Frequency | Value | Tile | Frequency | Value | |
|---|---|---|---|---|---|---|
| A | 9 | 1 | N | 6 | 1 | |
| B | 2 | 3 | O | 8 | 1 | |
| C | 2 | 3 | P | 2 | 3 | |
| D | 4 | 2 | Q | 1 | 10 | |
| E | 12 | 1 | R | 6 | 1 | |
| F | 2 | 4 | S | 4 | 1 | |
| G | 3 | 2 | T | 6 | 1 | |
| H | 2 | 4 | U | 4 | 1 | |
| I | 9 | 1 | V | 2 | 4 | |
| J | 1 | 8 | W | 2 | 4 | |
| K | 1 | 5 | X | 1 | 8 | |
| L | 4 | 1 | Y | 2 | 4 | |
| M | 2 | 3 | Z | 1 | 10 | |
| blank | 2 | 0 |
Play alternated between the two math students until all but
three tiles were played (V, F, and U). You must determine
each word played, correct placement on the board, and the
score at the end of the game. You are given a clue for each
word played. The correct placement of the first letter of the
first word has been given to you. Remember that no more than
SEVEN additional letters may be placed at one time. In this
game, blanks were played only after all tiles of a particular
letter were played (the two blanks were played in move #13
and move #17).
Fill in the score in the chart below:
| Score | Clues | |
|---|---|---|
| Player 1 | Player 2 | |
| _____ | X | 1. The name of the point whose coordinates are (0,0). Word begins at (6,8). |
| X | _____ | 2. One of the three undefined terms of geometry (a "dot" with zero dimensions). Word begins at (11,11). |
| _____ | X | 3. The name for the y-coordinate. Word begins at (6,8). |
| X | _____ | 4. The equation y = 3x - 1 is called a _______ equation. Word begins at (5,5). |
| _____ | X | 5. The line, all of whose y-coordinates equal zero, is called the x-______. Word begins at (6,3). |
| X | _____ | 6. An angle divides the plane into three sets of points: the angle, the exterior, and the _______. Word begins at (8,8). |
| _____ | X | 7. The formula  is called the ______ formula.Word begins at (11,14). |
| X | _____ | 8. The mathematical theory, founded by John von Neuman, of optimal behavior in situations involving conflicts is called _____ theory. Word begins at (9,14). |
| _____ | X | 9. One of the four sections into which the two coordinate axes separate the plane. Word begins at (8,12). |
| X | _____ | 10. The first number of an ordered pair is called the x-_____ . Word begins at (6,10). |
| _____ | X | 11.  is the formula for the _____ .
Word begins at (9,10).
|
| X | _____ | 12. Plural of locus. Word begins at (4, 10). |
| _____ | X | 13. The identity element for addition. Word begins at (5,13). |
| X | _____ | 14. Plane geometry is _____ - dimensional. Word begins at (11,7). |
| _____ | X | 15. A statement that is proven to be true. Word begins at (4,1). |
| X | _____ | 16.  is known as the _____ formula. Word begins at (15,15).
|
| _____ | X | 17. An arc of more than 180 degrees is called a ______ arc. Word begins at (2,7). |
| X | _____ | 18. An angle whose measure lies between 90 and 180 degrees is called ______ . Word begins at (13,7). |
| _____ | X | 19. The integer that follows four. Word begins at (2,12). |
| X | _____ | 20. The segment opposite the vertex angle of an isosceles triangle. Word begins at (11,3). |
| _____ | X | 21. In BASIC computer language, this statement assigns a value to a variable. Word begins at (4,3). |
| X | _____ | 22. A type of function. Word begins at (3,14). |
| _____ | X | 23. In ballistics, the angle between the direction of the axis of a shell and the direction of its velocity vector is the _____ angle. Word begins at (3,8). |
| X | _____ | 24. Owed or owing as a debt. Word begins at (2,2). |
| _____ | X | 25. One of the most important items in life insurance is the person's _____. Word begins at (13,12). |
| X | _____ | 26. "Every positive integer greater than 1 is prime or can be expressed as a product of prime numbers" is called _____ Fundamental Theorem of Arithmetic. Word begins at (13,5). |
| _____ | X | 27. These two students always _____ about math. Word begins at (1,14). |
| X | _____ | 28. Player 2 was left with the letter tiles F, U, and V, which she could not use. |
| _____ | _____ | TOTAL SCORE |
ANSWER KEY
| Player #1 | Player #2 | |||
|---|---|---|---|---|
| Points | Word | Move | Points | Word |
| 14 | origin | 1 | ||
| 2 | 14 | point | ||
| 15 | ordinate | 3 | ||
| 4 | 12 | linear | ||
| 20 | axis | 5 | ||
| 6 | 27 | interior | ||
| 13 | midpoint | 7 | ||
| 8 | 9 | game | ||
| 58 | quadrant | 9 | ||
| 10 | 19 | coordinate | ||
| 9 | slope | 11 | ||
| 12 | 6 | loci | ||
| 24 | zero | 13 | ||
| 14 | 7 | two | ||
| 13 | theorem | 15 | ||
| 16 | 99 | distance ** | ||
| 12 | major | 17 | ||
| 18 | 16 | obtuse | ||
| 20 | five | 19 | ||
| 20 | 6 | base | ||
| 3 | let | 21 | ||
| 22 | 14 | kei | ||
| 9 | yaw | 23 | ||
| 24 | 8 | due | ||
| 4 | age | 25 | ||
| 26 | 6 | the | ||
| 20 | yak | 27 | ||
| 28 | -9 | ----- | ||
| _____ | _____ | _____ | _____ | _____ |
| 234 | TOTAL | 234 | ||
** The word DISTANCE occupies two triple word scores.
The rules state that the value for the word is tripled and then tripled again.
|
Correctly solved by:
| No one |