Dec. 2004Math CrosswordsSlide 1 Math Crosswords A Lesson in the “Math + Fun!” Series.

Dec. 2004 Math Crosswords Slide 1

Math CrosswordsA Lesson in the “Math + Fun!” Series


About This Presentation

Edition Released Revised Revised

First Dec. 2004

This presentation is part of the “Math + Fun!” series devised by Behrooz Parhami, Professor of Computer Engineering at University of California, Santa Barbara. It was first prepared for special lessons in mathematics at Goleta Family School during the 2003-04 and 2004-05 school years. The slides can be used freely in teaching and in other educational settings. Unauthorized uses are strictly prohibited. © Behrooz Parhami


How Are Crosswords Made?

Start with a blank pattern

Number the squares

1 2 3 4

6

5

7 8

9

11

10

Fill squares with words

Backtrack if stuck

S T A L E

P

R

A

H M E S

Design the clues

For example: Across: 1. Not fresh 6. Residences

Down: 1. Smart 2. Sum

O

L

A

T

S

E

S

?

O T

S

A


Crossword Puzzle PatternsStandard:no isolatedsquare,symmetric

Nonstandard:many singlesquares(easy to design)

Fancy


Computer-Generated Crosswords

M A G I + + W A N + + E F T S

A D E N + S A L E S + T A R O

L A R D + T I A R A + A V I D

I M M O L A T I O N S + O P S

+ + + O A R + + + T E A R + +

+ C I R C L E + G A E L I C +

R A N + S E P I A + R A T I O

P R O C + T I T U S + N I L E

M A C A W + C O L A S + S I R

+ T U S H E S + S T I G M A +

+ + L E A R + + + I L L + + +

B O A + M O T I V A T I O N S

O A T H + D A V I T + T H E A

W H E E + E R A S E + C I S T

S U D S + + A N A + + H O S E

http://www.pdos.lcs.mit.edu/cgi.bin/theme-cword

The MIT Web site listed at the top allows you to enter a few words into a blank pattern and then generates a crossword or replies that it could not do it.

For example, when I entered the two highlighted entries, I got this result


Making a Math Crossword

Words to use:

RECTANGLES

TRIANGLE

BAR GRAPH

HUNDRED

CIRCLE

ARC

ADD

SUB

TEN

SIX

L

E

R

T

A

N

I

HR G PRB A

C I C L E

D

DH U N R D

R

T

N

R E C T A N G L E S

I

X

U

S


Another Math Crossword

This simple crossword was generated by a computer program at a Web site (named at the top) after entering these words and clues:

C

A

I

A

Q U R E

LI

E

R

T

N

C

A

R

G

E

S

1

2

3

4

http://www.puzzle-maker.com/CW/

CIRCLE/Rim of a plate, usuallySQUARE/Shape of most tilesARC/Part of a circleTRIANGLE/Three-sided shape


Activity 1: Making a Math CrosswordAcross:

4. __________________________5. __________________________7. __________________________10. _________________________

Down:

1. __________________________2. __________________________3. __________________________6. __________________________8. __________________________9. __________________________

LE

RT

AN

IHR G PRB A

C I C L E

DDH U N R D

R

T

N

R E C T A N G L E SIX

US

1 23

4

5

6

78 9

10


Use digits 1 through 9 in the squares to make the result for each row or column equal to 10

Activity 2: Solving Some Other Types of Math “Crosswords”

So far, we have covered math crosswords that are just like regular crosswords but use math terms. Here are some other types.

Fill the circles with numbers so that the operations inside box arrows are valid

Fill in the missing letters so that each row and column has all the letters M A T H S


Crossnumbers: “Crosswords” with Numbers

Across Down

1. 30 + 13 2. 78 – 47 3. 52 + 32 4. 54 – 10 6. 18 – 7 5. 50 – 9 8. 69 – 20 7. 21 – 910. 43 – 24 9. 45 + 4512. 47 – 26 11. 95 + 314. 94 – 6 13. 23 – 1016. 79 – 47 15. 78 + 419. 16 + 8 17. 50 – 2821. 52 – 29 18. 5 + 1223. 62 + 12 20. 51 – 925. 4 + 21 22. 73 – 4327. 48 + 4 24. 30 + 1528. 13 – 3 26. 79 – 28

4 3

1 1

2 1

3 2

2 3

0


Activity 3

Solve this crossnumberpuzzle

Do the math next to the clues and enter numbers into the grid only after you have checked to see that the digits match


Solve like an ordinary crossword puzzle.

Example for 1 across:

79,224+ 19,700 98,924

Activity 4 9 8 9 2 4


Across Down

1. 189 + 433 2. 633 / 3 4. 305 + 375 3. 13 + 7 7. 612 / 6 5. 719 + 16810. 215 + 206 6. 627 + 21412. 445 + 305 8. 291 – 9014. 5 + 6 9. 250 + 5415. 570 / 5 11. 27 + 18517. 11 + 3 13. 405 + 1118. 29 + 184 15. 9 + 420. 29 x 4 16. 425 – 1523. 302 + 198 19. 193 – 9025. 39 + 294 21. 201 – 9727. 124 + 287 22. 35 + 29629. 7 + 5 23. 375 + 12630. 324 + 187 24. 305 x 232. 17 + 13 26. 15 + 30633. 26 + 79 28. 156 – 2634. 528 – 18 30. 12 + 43

31. 23 – 8

Activity 5Solve this crossnumber puzzle


Activity 6: A Challenging Crossnumbers Puzzle

+-----+-----+-----+-----+-----+-----+|1 | |2 |3 |OOOOO|4 || | | | |OOOOO| || | | | |OOOOO| |+-----+-----+-----+-----+-----+-----+| |OOOOO|5 | | | || |OOOOO| | | | || |OOOOO| | | | |+-----+-----+-----+-----+-----+-----+|6 | | | |OOOOO| || | | | |OOOOO| || | | | |OOOOO| |+-----+-----+-----+-----+-----+-----+| |OOOOO|7 | | | || |OOOOO| | | | || |OOOOO| | | | |+-----+-----+-----+-----+-----+-----+

Across 1. The cube of a whole number.5. The number of square inches in a square yard.6. The number of cubic inches in a cubic foot.7. The number of millimeters in a meter.

Down 1. A number which is unchanged if the digits are reversed.2. A prime number.3. The number of feet in a mile.4. The number of seconds in an hour.

+-----+-----+-----+-----+-----+-----+|1 | |2 |3 |OOOOO|4 || 3 | 3 | 7 | 5 |OOOOO| 3 || | | | |OOOOO| |+-----+-----+-----+-----+-----+-----+| |OOOOO|5 | | | || 1 |OOOOO| 1 | 2 | 9 | 6 || |OOOOO| | | | |+-----+-----+-----+-----+-----+-----+|6 | | | |OOOOO| || 1 | 7 | 2 | 8 |OOOOO| 0 || | | | |OOOOO| |+-----+-----+-----+-----+-----+-----+| |OOOOO|7 | | | || 3 |OOOOO| 1 | 0 | 0 | 0 || |OOOOO| | | | |+-----+-----+-----+-----+-----+-----+


Activity 7: Make a Crossnumbers Puzzle

Use no more than 7 black squares

Across: Down:__________ ____________________ ____________________ ____________________ ____________________ ____________________ ____________________ ____________________ ____________________ ____________________ ____________________ ____________________ ____________________ __________

Use +, , x, / in clues


Activity 8: Make a Crossnumbers Puzzle

Use no more than 7 black squares

Across: Down:__________ ____________________ ____________________ ____________________ ____________________ ____________________ ____________________ ____________________ ____________________ ____________________ ____________________ ____________________ ____________________ __________

Use substitutions based on a = 3, b = 11, c = 8 (e.g., use 2b – c for 14)


Cross-sums Puzzle

Use only digits 1 to 9, each no more than once per puzzle entry.

Numbers above the diagonal show the sum of digits in spaces to the right.

Numbers under the diagonal show the sum of digits in spaces below.


A Cross-sums/products Puzzle

# p s

1 18 10

3 32 12

4 40 13

6 7 8

8 10 7

9 30 10

The product p and sum s for digits of each entry are given.

1 2

3 4

6

5

7 8

9

Across: Down:

# p s

1 4 5

2 48 14

3 0 9

5 125 15

7 35 12

8 6 5

Example: For 324, p = 24 and s = 9


A Very Special Crossnumber Puzzle

2 3 4

6

5

7

All the clues in the following puzzle are the same, but no number is repeated in it.

1

Across and down clue: The square of a number.


Next LessonThursday, January 6, 2005

Example to think about: Amy says that she was 10 years old the day before yesterday and that she will turn 13 next year. How is this possible?

Dec. 2004Math CrosswordsSlide 1 Math Crosswords A Lesson in the “Math + Fun!” Series.

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Transcript of Dec. 2004Math CrosswordsSlide 1 Math Crosswords A Lesson in the “Math + Fun!” Series.