MathScience9-12+
Mathematical Patterns in Nature: Video Introduction
By Allison S.
A short video-based exploration packet for 10th graders that introduces the Fibonacci sequence, golden ratio, tessellation, and symmetry as they appear in living things. Students watch two linked videos and answer 'Look-For' questions to identify these patterns before a field trip to the Brooklyn Botanic Garden.
Customize for your classroom
Teacher Guide & Tips
- Use this as a pre-trip warm-up in a single class period, roughly 30 to 40 minutes, so students arrive at the garden already primed to spot patterns in plants and flowers.
- Discussion question: Why might a plant benefit from growing in a Fibonacci or golden-ratio arrangement, and what does that suggest about efficiency in nature?
- Scaffold for struggling readers: Pre-teach the vocabulary (sequence, ratio, tessellation, symmetry) with the definitions listed in the packet, and have students pause the videos to jot one example per term.
- Extension for advanced students: Ask them to compute several Fibonacci ratios, observe the convergence toward 1.618, and find a natural example of tessellation or a spiral to bring to the garden visit.
- Estimated time: about 35 minutes including video viewing and written responses.
MathScience9-12+
Mathematical Patterns in Nature: Video Introduction
By Allison S.
A short video-based exploration packet for 10th graders that introduces the Fibonacci sequence, golden ratio, tessellation, and symmetry as they appear in living things. Students watch two linked videos and answer 'Look-For' questions to identify these patterns before a field trip to the Brooklyn Botanic Garden.
Customize for your classroom
Teacher Guide & Tips
- Use this as a pre-trip warm-up in a single class period, roughly 30 to 40 minutes, so students arrive at the garden already primed to spot patterns in plants and flowers.
- Discussion question: Why might a plant benefit from growing in a Fibonacci or golden-ratio arrangement, and what does that suggest about efficiency in nature?
- Scaffold for struggling readers: Pre-teach the vocabulary (sequence, ratio, tessellation, symmetry) with the definitions listed in the packet, and have students pause the videos to jot one example per term.
- Extension for advanced students: Ask them to compute several Fibonacci ratios, observe the convergence toward 1.618, and find a natural example of tessellation or a spiral to bring to the garden visit.
- Estimated time: about 35 minutes including video viewing and written responses.