# Swirl by Swirl: Spirals in Nature By Joyce Sidman

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3 Drill Silicone caulking Duct tape 1. Remove the labels from the bottles, take the caps off, and rinse bottles thoroughly. 2. (To skip this step, find a company online that sells bottle connectors.) Drill a ½ inch hole in the center of each cap. Place the caps together on their flat ends, and put a thin bead of caulk around the hole to seal it. Let dry. Wrap duct tape tightly around the outside of the caps to stick them together. 3. Screw the doubled cap on to one of the 2-liter bottles. Fill the other bottle about 3/4 full with water. Add food coloring and glitter if you wish; these help show the tornado. 4. Screw the empty bottle tightly to the top of the bottle filled with water. 5. With one hand holding the bottles by the connector area and the other supporting the full bottle, drain one bottle into the other, swishing in a circular motion. Students should see a spiraling "tornado" as the water drains. MATH PROJECT More About Fibonacci Numbers Fibonacci numbers which are named after a 13th century Italian mathematician are a specific sequence of numbers that show up over and over in the structure of many naturally occurring objects. This sequence {1, 1, 2, 3, 5, 13, 18,...} is created by adding the previous two numbers of the sequence. Fibonacci numbers occur in the way plant leaves are arranged on a stem, or the way petals or seeds are arranged in a flower head. They can also be used to predict a logarithmic spiral, which widens at a fixed rate. Color and Trace a Fibonacci Spiral Use the attached Fibonacci template to demonstrate how Fibonacci numbers lead to a spiral similar to that in a nautilus shell. These blocks represent the squared area of each successive number in the Fibonacci sequence. When you arrange them around each other and draw a curved line connecting their diagonal corners, voila! A spiral! Copy this template for each student Have students color in the separate blocks, then trace the spiral with marker ART PROJECT Spiral-Mobile You Will Need: Spiral template (attached) Scissors for each student Crayons or markers String for hanging Glue or stapler Glitter (optional) 1. Copy the spiral template onto card stock. 2. Color the spiral on both sides of the paper. Staying within the lines does not matter. You can use glitter with glue sticks for extra sparkle.

4 3. Cut the whole shape from the paper, and then carefully cut along the spiral line, to make one long piece. 4. Glue or staple a piece of string to the very center of the spiral. 5. Hang from the ceiling! Joyce Sidman 2012 May be copied for classroom or library use but may not be reprinted or resold for commercial purposes.

5 FIBONACCI SPIRAL from Swirl by Swirl: Spirals in Nature by Joyce Sidman

6 1. Copy this template on cardstock (if you want more than two mobiles). 2. Use crayons or markers to color spiral on both sides. Don t worry about staying between the lines! 3. Cut shape from paper, then carefully cut along spiral line to make one long piece. 4. Glue or staple a length of string or ribbon to the very center of the spiral. 5. Hang from the ceiling! To Make Spiral-Mobiles:

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