This document outlines standards and resources for a high school lesson on fractals. The standards include Common Core math standards in number/quantity, algebra, modeling, and geometry as well as California visual arts standards in creative expression, historical/cultural context, and connections/applications. Resources listed are a teacher guide, animating fractals cheat sheet, and how-to videos for square tiling and Sierpinski carpet fractals. Materials needed are an internet-connected device, Google login, and access to the PiskelApp website to animate fractals. The process involves defining fractals, examples in nature/art, CGI uses, watching tutorial videos, and having students animate and self-assess their fractal anim

1. STANDARDS—High School
CCSS Math Standards
N-Q Number and Quantity—Quantities
A-CED Algebra—Creating Equations
Modeling Modeling
G-MG Geometry—Modeling with Geometry
G-SRT Geometry—Geometry, Similarity, Right
Triangles, and Trigonometry
California Visual Arts Standards (Proficient)
Creative Expression
2.1 Solve a visual arts problem that involves the effective use of
the elements of art and principles of design
2.3 Develop and refine skill in the manipulation of digital
imagery
Historical and Cultural Context
3.2 Identify and describe the role and influence of new
technologies on contemporary works of art
Connections and Applications
5.4 Demonstrate an understanding of the various skills of an
artist, art critic, art historian, art collector, art gallery
owner, and philosopher of art (aesthetician).
RESOURCES
-Teacher Guide https://goo.gl/XQBAC2
-Animating Fractals with Square “Cheat Sheet”
https://goo.gl/76BO5M
-How-To Video Square Tiling 01
https://goo.gl/stIvN3
-How-To Video Square Tiling 02
https://goo.gl/NgHnMb
-How-To Video Sierpinski Carpet
https://goo.gl/YLPOSg
-Animating Fractals Rubric https://goo.gl/U0lOf9
- PiskelApp http://www.piskelapp.com
ART MATERIALS
⃝ Device that can connect to internet (tablet or laptop)
⃝ Internet access
⃝ Google login
⃝ Access to http://www.piskelapp.com
⃝ Growth-mindset
PROCESS
1. Open with teaser fractals
2. Identify and define fractal
3. Identify and define self-similarity
4. Mathematical fractal examples (square tiling & Sier-
pinski carpet)
5. Identify fractals in nature
6. Identify fractals in art
7. Identify and define use of fractals in CGI
8. CGI fractal interpolation examples
9. Identify and define project
10. Hand-out “cheat sheet”
11. Watch videos 1, 2, and Sierpinski
12. Students animate fractals
13. Students self assess animated fractal work