Download Geometry in the Arts

Geometry in the Arts
OBJECTIVE: Students will apply their knowledge of geometric relationships to create
art and to communicate their knowledge of theorems and postulates.
PRODUCT: One simple compilation drawing incorporating the art with theorems and
postulates.
AREAS OF INTERACTION: Human Ingenuity
COMPLETE THE VOCABULARY EXERCISE. CHOOSE ONE OF THE OPTIONS
BELOW. BE CREATIVE.
ALL STUDENTS:
Points, lines, angles and the geometric figures formed by them are fundamental to the world of art.
We are going to focus our attention on drawings and sketches. You must show that your drawing
(final art product) is a compilation of the basic geometric terms listed below.
Define and sketch each geometric term below. Use a ruler for your sketches. You must show evidence of
each term in your large compilation sketch.
1.
Point
2. Line segment
3.
Parallel lines
4. Perpendicular lines
5.
Ray
6. Acute angle
7. Obtuse angle
8. Right angle
9. Alternate interior angles
10. Corresponding angles
11.
Exterior angle
12. Linear pair
13.
Complementary angles
14. Supplementary angles
15. Angle bisector
16. Altitude
17.
Congruent triangles
18. Similar triangles
19.
Coplanar line segments
20. Collinear points
21. Isosceles triangle
22. Scalene triangle
23. Right triangle
24. Skew lines
25. Point of concurrency
Option I – Draw or Sketch
Draw a scene.
 It must be on an 8.5” x 11” (or larger) piece of blank paper.
 It must be school appropriate (Sketches from comic books/graphic novels or
video games may not work).
 Draw and submit your rough draft. This does not have to be as neat as your
final drawing, nor should it be as time-consuming. This is a chance to
recheck the appropriateness of your artwork and to check for any problems
with negative space
 Once the sketch is approved, use color or shading to help your draft be
transformed into a final product.
 Remember, you must use rulers
 Go back through your sketch and highlight (in marker or highlighter) and label
the 25 geometric terms above to show that basic geometry helps us create
every scene/image.
 Avoid negative space
 YOU DO NOT HAVE TO BE A GREAT NATURAL ARTIST TO HAVE A
GREAT ART PRODUCT. Techniques using basic geometry will help you
create great perspective drawings (cityscapes, farm/fence scenes, bridges,
etc).
 DO NOT CHOOSE SOMETHING TOO SIMPLE. This is a test grade.
Drawing a something that could be in a coloring book is typically too simple.
It doesn’t usually have enough detail to incorporate the geometric terms
above. It also usually requires about 30 minutes of work – NOT enough to
justify a test grades
Option II – Cubist drawing
Cubism was one of the most influential art forms of all time. Some of the most
famous cubist painters included Pablo Picasso, Paul Cezanne, Robert Delaney, and
Fernand Leger, just to name a few. Cubists “concentrated on how to represent a
form in its purest way. Forms were shown using basic geometric shapes such as the
quadrilateral, cone, cylinder, and sphere.”
Primitive Cubism went from about 1907 – “Everything in nature takes its form from
the sphere, cone or cylinder.” Paul Cezanne. This influenced painting significantly
for about seven yrs
Analytical Cubism went from about 1908-1912. “Artists mentally broke a subject into
flat planes and arranged them in complex, overlapping relationships.”
Synthetic Cubism began about 1912 and lasted through the 1920’s. “Pictures were
more realistic looking but still were based on geometric shapes.”
YOU WILL CREATE YOUR OWN PIECE OF CUBIST ART.
1. Submit your idea to me before you start your rough draft. You
may just ask me in class. It is important that I know you have
chosen an appropriate drawing before you start.
2. It must be on an 8.5” x 11” (or larger) piece of blank paper.
3. Draw and submit your rough draft. This does not have to be as
neat as your final drawing, nor should it be as time-consuming.
This is a chance to recheck the appropriateness of your artwork and
to check for any problems with negative space
4. Go back through your sketch and highlight (in marker or
highlighter) and label the 25 geometric terms above to show that
basic geometry helps us create every scene/image.
5. DO NOT CHOOSE SOMETHING TOO SIMPLE. This is a test
grade.
Option III – Trace/Copy an Existing work of art.
Trace a scene.
 YOU MUST BRING IN THE SCENE YOU WANT TO TRACE. IT MUST BE
APPROVED.
 It must be on an 8.5” x 11” (or larger) piece of blank paper.
 It must be school appropriate (Sketches from comic books/graphic novels or
video games may not work).
 Draw and submit your rough draft. This does not have to be as neat as your
final drawing, nor should it be as time-consuming. This is a chance to
recheck the appropriateness of your artwork and to check for any problems
with negative space
 Once the sketch is approved, use color or shading to help your draft be
transformed into a final product.
 Remember, you must use rulers
 Go back through your sketch and highlight (in marker or highlighter) and label
the 25 geometric terms above to show that basic geometry helps us create
every scene/image.
 Avoid negative space
 DO NOT CHOOSE SOMETHING TOO SIMPLE. This is a test grade.
Drawing a something that could be in a coloring book is typically too simple.
It doesn’t usually have enough detail to incorporate the geometric terms
above. It also usually requires about 30 minutes of work – NOT enough to
justify a test grades
Rubric
RUBRIC
Definitions :
25pts
Approved
concept with
rough draft:
25 pts
Diagram with 25
labels:
25pts
Neatness/use of
ruler:
25pts