[Photo by Scott Schram via Flickr.]
For Leon’s Christmas gift, Alex made the Graph-It game. She wrapped a pad of graph paper and wrote up the instructions:
To play Graph-It, one person designs a picture made by connecting points on a coordinate graph. He reads the points to the other player, who tries to reproduce the picture.
A Christmas Puzzle
Alex gave these instructions for Leon’s first graph. Can you draw the mystery picture?
You will need a graph about 30 squares wide by 25 high, with (0,0) in the bottom, left corner. Plot each ordered pair, and connect the points that have dashes between them.
(6,0) – (6,11) – (3,9) – (2,10) – (14,18) – (26,10) – (25,9) – (22,11) – (22,0).
(11,0) – (9,3) – (18,3) – (16,0).
(9,0) – (11,3) – (9,3) – (8,4) – (8,6) – (19,6) – (19,4) – (18,3) – (16,3) – (18,0).
(9,6) – (10,7) – (11,6) – (10,7) – (11,7) – (12,6) – (13,7) – (14,6) – (13,7) – (14,7) – (15,6) – (14,7) – (15,7) – (16,6) – (15,7) – (16,7) – (17,6) – (16,7) – (17,7) – (18,6).
Add a dot for the eye at (11,6.5).
(3,19) – (4,22) – (5,19) – (2.5,21) – (5.5,21) – (3,19).
A Design Puzzle
If you don’t celebrate Christmas, you may want a non-religious design. For this design, you will need a graph with coordinates from −8 to +8 on both the x- and y-axis.
(-8,8) – (-8,0) – (0,8) – (-8,8) – (-4,4) – (0,4) – (0,8) – (8,8) – (4,4) – (0,8).
(8,8) – (8,0) – (4,0) – (4,-4) – (8,0) – (8,-8) – (0,-8) – (4,-4) – (0,-4) – (0,-8) – (-8,0) – (-8, -8) – (0,-8).
(-8,-8) – (4,4) – (0,4) – (4,0) – (4,4) – (8,0).
(8,-8) – (-4,4) – (-4,-4) – (0,-4) – (-4,0) – (-8,0).
(0,-2) – (0,-4) – (4,0) – (2,0) – (2,-2) – (-2,-2) – (-2,2) – (2,2) – (2,0) – (1,1) – (1,0) – (2,0) – (0,-2) – (-2,0) – (0,2) – (1,1) – (-1,1) – (-1,-1) – (1,-1) – (1,0) – (-4,0) – (0,4) – (0,-1) – (-1,0) – (0,1) – (1,0) – (0,-1) – (0,-2).
Color in your design and hang it up for the whole family to enjoy!
To Be Continued…
Read all the posts from the November/December 1999 issue of my Mathematical Adventures of Alexandria Jones newsletter.
Excellent activity. I do this exact same thing after Christmas break with transformations.