Fibonacci Art
Type: Investigation
Theme: Art
Grades: 5, 6, 7, 8, 9, 10
Learning Target: Students can recognize recursive sequences and creatively apply Fibonacci squares or the Golden Mean in an art project.
For this investigation each student will create one art project (line, color, mixed media, 3D, or computergenerated).

Students will make a list of recursive values they use in their artwork. They must include at least 5 iterations.

Students will use these values to construct shapes, objects, or design elements using a centimeter ruler or grid paper.

Students will submit their artwork as a photograph, scan or digital file.

Explanation

Students will write at least one paragraph (minimum 3 sentences) explaining how the Fibonacci Sequence or the Golden Mean applies to their artwork.

Students will include their list of recursive values.

Rubric

Completeness (Were the requirements above fulfilled?)

Clarity (Is the artwork neat, organized, and interesting to look at?)

Concepts (Has the student explained how the Fibonacci sequence or the Golden Mean applies to their artwork?)

Accuracy (Are there recursive sequence values correct?)
Examples and IdeasFibonacci Sequence
The Golden MeanYou may also use the Golden Mean (Ratio) to determine your sizes. Remember the ratio between each successive size will be phi (Φ, the Golden Mean, which is 1.618...).
For 2 cm, the results would be: 2 cm 2 cm x 1.6 = 3.2 cm 3.2 cm x 1.6 = 5.1 cm 5.1 cm x 1.6 = 8.2 cm 8.2 cm x 1.6 = 13.1 cm 13.1 cm x 1.6 = 21.0 cm Rocks of the proper dimensions (width) are stacked to produce an interesting design (top). Fibonacci squares and spirals are colored and organized in an interesting design (middle). OpenSCAD Model initial = 10; 

 I can look for and express regularity in repeated reasoning.
 Patterns