Conics Art Project
Requirements:
You will create an original work of art that can be represented completely by equations of lines
and conic sections. The artwork must be in color and you may use any medium you would like.
Your picture must include at least the following numbers of each conic section.
a. 4 ellipses (at least two of them with centers not at the origin)
b. 2 hyperbolas (at least one of them with a center not at the origin)
c. 2 circles (at least one of them with a center not at the origin)
d. 10 lines (at least five of them at angles other than vertical or horizontal)
e. 2 parabolas
Your project must include the following sections:
1. Artwork on 8.5” x 11” piece of paper
• Must be neatly drawn and hand colored using medium of choice
• Shading and use of color combinations will be evaluated
2. You must include a detailed graph with each line and conic clearly labeled on graph
paper. Make sure to label scale neatly and completely and clearly identify the x and yaxis. Also label key points like centers and vertices and points used to calculate a values
on parabolas and b values on hyperbolas. Each separate part will be numbered and each
number highlighted and color coded by conic type. Do not include anything else on this
page. It must be neat, accurate and easy to read.
3. You must include an additional section with all of the equations of the lines and conics.
Do not type this section unless you use an equation editor.
a. You must write the equations in (h, k) form and organize your work in sections
by conic type.
b. You must include the restricted domain OR range in some very special cases (ie.
vertical lines).
c. You must show all work leading to each equation neatly and in an organized
manner. At a minimum, be sure you have work shown for a values on parabolas
and b values on hyperbolas.
This project will be evaluated using the following criteria:
ƒ
ƒ
ƒ
ƒ
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Completion of the steps outlined
Creativity, color and use of basic art principles and color theory
Neatness and organization
Degree of difficulty
Accuracy of the mathematics used in each
equation and in the domain and range.
Conics Art Project Rubric
Please include this as the last page of your project packet
Per ______
Accuracy of Mathematics
All equations accurate. Work shown
neatly for calculating “b” values on
each hyperbola, y- intercepts for all
lines(vertical and horizontal lines
excluded), and a values for all
parabolas
All domains correctly stated
Minimum requirements met:
4 Ellipses,2 Hyperbolas, 2 Circles,
10 Lines, 2 Parabolas. All sections
included.
Creativity
Must achieve a 50/50 positive/negative
space and an appealing artistic balance
(symmetrical or asymmetrical).
Coloring techniques must use basic
color theory.
Overall neatness and organization
Proper formatting for equations section.
All work neatly shown next to each
equation. No stray marks folds, tears,
visible erasures on graphs. Shapes
neatly drawn.
Degree of Difficulty
Restricted domain shapes over and
above the minimum requirements.
Domain statements for partial circles or
ellipses stated correctly.
Total Score
Name _____________________________
50 points
___/50
25 Points
___/25
10 Points
___/10
10 Points
___/10
5 points
___/5
___/100