Seeing Math Patterns in Nature

$Pack n’ Grow Hexagonal Pack • Maximum strength with minimum materials Square Pack LaUces$

$Pinecones$

$How Many Spirals?$

$h,p://goo.gl/56hbKU How Many Spirals?$

$Leonardo of Pisa – son of Bonacci Liber Abaci 1202 c. 1170 – c. 1250 Who Was Fibonacci?$

$0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, … F n = F n-‐1 + F n-‐2 where F 0 = 0 and F 1...$

$Pinecone Projects$

$Pineapples$

$How Many Spirals?$

$h,p://goo.gl/aUwknV How Many Spirals?$

$90% of Plants Grow in Fibonacci Pa,ern$

$Sunflowers at School$

$Sunflowers$

$1000 seeds 1000 seeds 3000 seeds Efficiency -‐ Sunflower Spiral Pa,erns$

$• Wolfram Mathemajca -‐ Interacjve models • Vi Hart -‐ Doodling in Math: Spirals, Fibonacci, and Being a ...$

$Wolfram Mathemajca Demonstrajons Search “phyllotaxis” for about a dozen models h,p://demonstrajons.wolfram.com/s...$

$Anomalies – Why?$

$Alan Turing’s Sunflowers Global Experiment 2012 Big Data – Cijzen Science$

$Sunflower Projects$

$Roast In-‐Shell Sunflower Seeds Brush or pick seeds off seedhead Soak and Salt • Cover unshelled seeds wi...$

$Easy Daisies$

$Fibonacci and non-‐Fibonacci Series$

$Leaf Arrangement -‐ Phyllotaxis$

$Branching$

$Phyllotacjc Architecture 2012$

$The Pineapple, The Core and The Gherkin…$

$Squares and Spirals$

$Think of a number… Make Your Own Series$

$Think of a number… 2. Decide a second number 3. Add the two together Make Your Own Series$

$Think of a number… 2. Decide a second number 3. Add the two together 4. Determine the next 12 numbers in ...$

$• Fibonacci-‐style Take Homes math sequences are prevalent in nature and design • 90% of plant species gro...$

$Seeing Math Pa,erns in Nature Projects: • Ask and Define Problems • Plan and Carry Out Invesjgajons • Analy...$

$h,p://goo.gl/HvvLdO Credits and Resources Thank You!$

$Contact me: Mary Van Dyke Green STEM Learning maryvandyke4@gmail.com$