Part
1 |
1.)
You will need a large piece of graph paper, (approximately
69 blocks tall and 40 blocks wide. You can create
one by taping two pieces together. If you need graph
paper click
here to get get a free program that makes it for
you.
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2.)
Turn your large graph paper vertically. Draw a "y"
axis down the center of the page from the top to the
bottom. Label it "y" at the top.
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3.)
Count up 23 blocks from the bottom of the page, (
or 1/3 of the way up if you are using graph paper
other than 70 blocks tall), and draw an "x"
axis the whole way across the page on that 23rd line.
Be sure to label it "x" on the right side.
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4.)
Start at the origin,where your axes meet. Place
a small tick mark on every fifth line on both axes
to the edges of the page. Then place small numbers
underneath each tick mark counting by five's, 5, 10,
15, 20 etc..
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5.)
Draw the outline of a HAUNTED HOUSE in the top
two quadrants. Use your imagination and make it
scary.
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6.)
Now take your pencil and mark at least 30 points around
the perimeter of your house, and label them correctly
with their coordinates. (Remember the "x"
coordinate is always listed first in the ordered pair
(x,y) )
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Part
2
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8.)
Start at the lower left corner of your picture. Write
down the first coordinate of your house on the Morphing
Table (in the original coordinate
column).
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9.)
Put a small check mark on your graph by this point,
to keep track that you have recorded it.
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10.)
Multiply this coordinate by (-1/3) and write the results
as fractions, in the third column. NOTE: many of the
fractions in this column will be improper fractions.
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11.)
Now reduce the coordinates in column three
to whole numbers or mixed numbers, and write the results
into the last column.
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12.)
Finally graph the new, reduced, coordinate
on the graph paper. ( It will appear somewhere in
the bottom two quadrants.)
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13.)
Repeat steps (8 through 12) for each of your 30
points, around the perimeter of your house.
Be
sure to work our way around the figure in order
and connect the new MORPHED points in order as you
graph them. Don't forget to put
check marks as you move around the picture to keep
your place.
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14.)
The new coordinates will MORPH your house by shrinking
and rotating it. This is called a geometric TRANSFORMATION.
*Don't
forget to add detail and color for the best presentation.
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