**Title:** Golden Ratio

**Description:**
In this Illuminations lesson, students explore the Fibonacci sequence. They examine how the ratio of two consecutive Fibonacci numbers creates the Golden Ratio and identify real-life examples of the Golden Ratio.

**Standard(s): **

[MA2013] AL1 (9-12) 27: Recognize that sequences are functions, sometimes defined recursively, whose domain is a subset of the integers. [F-IF3]

[MA2013] ALC (9-12) 9: Analyze aesthetics of physical models for line symmetry, rotational symmetry, or the golden ratio. (Alabama)

[MA2013] DM1 (9-12) 2: Determine characteristics of sequences, including the Fibonacci sequence, the triangular numbers, and pentagonal numbers. (Alabama)

[MA2013] MI1 (9-12) 5: Identify beginnings of algebraic symbolism and structure through the works of European mathematicians. (Alabama)

[MA2013] MI1 (9-12) 9: Analyze works of visual art and architecture for mathematical relationships. (Alabama)