stolen/borrowed/hat-tip to Dan Meyer. Re-format as needed. If possible let me see changes/additions/subtractions you make. Thanks. Google doc here.
Graphing
area and perimeter
This
activity will build on two things you have studied already, area and
perimeter. (If you don’t know what these
are, ask.) Follow the instructions below. Use the attached pages of graph paper
to do your work.
(1)
On the attached paper draw several rectangles and squares of different sizes. Find the area and perimeter of each one.
(Several for this project means enough to answer the questions below. So… more
than 10 and less than 20.)
(2)
Make a list of points using the area and perimeter like this…
(perimeter, area)
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
(3)
Graph all the points you created on a set of axis.
(4) Use words (in sentences) to answer the
following questions.
Describe what set of points indicate rectangles.
Describe what set of points indicate squares.
(5) Draw several triangles. Find their area and
perimeter. (Make sure you can find the area
and perimeter of these triangles.)
(6) Write the points below.
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
(7) Graph these points using a different color
on your axis.
(8) Describe where these points are.
(9) Using the following radii,
find the circumference and area of the ten circles below.
a. radius: 1 circumference: area:
b. radius: 2 circumference: area:
c. radius: 3 circumference: area:
d. radius: 4 circumference: area:
e. radius: 5 circumference: area:
f. radius: 6 circumference: area:
g. radius: 7 circumference: area:
h. radius: 8 circumference: area:
i. radius: 9 circumference: area:
j. radius: 10 circumference: area:
(10) Graph these points
using a third color.
(11) Describe what you
see.
(12) If we say a point
is “impossible” for this graph, what do we mean? Give an example of an
impossible point and explain why it is impossible.
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