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