Spaghetti Extra Credit Project
Materials
1 Poster Board measuring 24x36
A pencil
A 1-foot ruler with markings of inches
A black permanent marker
A red permanent marker
A blue permanent marker
A bag of dried spaghetti
Hot glue or a bottle Elmer’s glue (glue sticks will not work well)
Scissors
Step 1 (Do this step in pencil)
Cut the poster board in half so you get two pieces that are 12x36. One poster board will be for your
cosine graph and the other will be for your sine graph. Hold the Poster Board so that the 36 inches is the
horizontal side. On each Poster Board Measure 6 inches from the bottom to find the vertical midpoint
on both sides. Using a long straight edge, draw a horizontal line across the middle of your Poster Boards.
Step 2 (Do this step in pencil)
Measure 6 inches from the left border. Draw a vertical line connecting the top and bottom of your
Poster Boards that is 6 inches from the left side of your Poster Board. Do this for both.
Step 3 (Do this step in pencil)
From the drawn vertical line, measure 24 inches to the right along your drawn horizontal line. Make
marks at the following inches: 0,2,3,4,6,8,9,10,12,14,15,16,18,20,21,22,24. Do this for both Poster
Boards.
Step 4 (Do this step in pencil)
For both boards use the following chart to label your marks.
Inches
0
2
3
4
6
8
9
10
12
14
15
16
18
20
21
22
24
Label
0𝜋
𝜋
6
𝜋
4
𝜋
3
𝜋
2
2𝜋
3
3𝜋
4
5𝜋
6
𝜋
7𝜋
6
5𝜋
4
4𝜋
3
3𝜋
2
5𝜋
3
7𝜋
4
11𝜋
6
2𝜋
Step 5 (Do this step in pencil)
For the Sine Board, use the following unit circle. Remember that Sine is the “y” value or vertical distance
from the edge of the circle to the X-axis. You will need to print the circle out. Take a piece of spaghetti
and line it up with the first red line. Cut the spaghetti so it is the same length. Now paste that spaghetti
on the Sine Board that corresponds with the radian. Repeat this until you have a piece of spaghetti for
every radian given. Paste accordingly. Remember, negatives will be pasted below the horizontal line.
For the Sine Board
Step 6 (Do this step in pencil)
Draw a line connecting all the tips of the Spaghetti that do not touch the X-axis. You will have three
spots where no spaghetti will be pasted because the Sine value is zero. Your result should look like a
1
Sine graph. Use your straight edge to label the Y-axis accordingly. (0, ± 2 , ±
√2
√3
, ± 2 , ±1).
2
Step 7
Go over all labeling with your black permanent marker. Go over your Sine Function with the red
permanent marker. Label the board “sin(𝑥) = 𝑦” Make it neat and decorate it with drawings, stickers or
any school appropriate thing that represents you. Put your name on the back of the board.
Step 8
For the Cosine Board, use the following unit circle. Remember that Cosine is the “x” value or horizontal
distance from the edge of the circle to the Y-axis. You will need to print the circle out. Take a piece of
spaghetti and line it up with the first blue line. Cut the spaghetti so it is the same length. Now paste that
spaghetti on the Cosine Board that corresponds with the radian. Repeat this until you have a piece of
spaghetti for every radian given. Paste accordingly. Remember, negatives will be pasted below the
horizontal line.
Step 9
Draw a line connecting all the tips of the Spaghetti that do not touch the X-axis. You will have two spots
where no spaghetti will be pasted because Cosine value is zero. Your result should look like a Cosine
1
graph. Use your straight edge to label the Y-axis accordingly. (0, ± 2 , ±
√2
√3
, ± 2 , ±1).
2
Step 10
Go over all labeling with your black permanent marker. Go over your Cosine Function with the blue
permanent marker. Label the board “cos(𝑥) = 𝑦” Make it neat and decorate it with drawings, stickers
or any school appropriate thing that represents you. Put your name on the back of the board.
Cosine Circle
*If you have any questions, ask. Do not assume and the reply of “I did not know” or “I did not
understand” will not be accepted when grading this. Each step is 10 points. Failure to complete a step
correctly will forfeit partial or all 10 points. This will be due no later than January 17th, 2017.