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# 6) fibonacci spiral

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# 6) fibonacci spiral

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### 6) fibonacci spiral

1. 1. 4th February 2010 Objective: to create a Fibonacci spiral Skills: Making Links and Questioning By the end of the lesson: All: will be able to generate terms in the Fibonacci sequence. Most: will be able to complete the Fibonacci spiral. Some: will colour their Fibonacci spiral.
2. 2. Starter • How far can you get with the Fibonacci sequence? • You have 3 minutes to get as far as you can. 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584, 4181, 6765, 10946, 17711, 28657, 46368, 75025....
3. 3. Fibonacci Spiral
4. 4. Fibonacci Sequence • Here are the first terms of the sequence that we will be using to create our spiral. 1, 1, 2, 3, 5, 8, 13, 21, 34 • Step 1 • Draw a rectangle 34 squares long and 21 squares high • DOUBLE CHECK AFTER YOU HAVE DONE IT
5. 5. Fibonacci Spiral • Step One 34 squares 21 squares
6. 6. Fibonacci Spiral • Step Two • Turn the page clockwise, count in 21 squares and draw a line from one side to the other. 21 squares 13 squares Step Two Turn the page clockwise, count in 21 squares and draw a line from one side 21 squares to the other 34 squares
7. 7. Fibonacci Spiral • Step Three • Turn the page clockwise and count in 13 squares and do a line across until you meet the previous line. 34 squares 8 squares 21 squares 13 squares 21 squares 13 squares
8. 8. Fibonacci Spiral • Step Four • Turn the page clockwise, count in 8 squares and draw a line across. 5 squares 8 squares
9. 9. Fibonacci Spirals • Step Five • Turn the page clockwise and count in 5 square and draw a line. 5 squares 3 squares
10. 10. Fibonacci Spiral • Step Six • Count in 3 squares, draw a line. Turn again and count in 2 squares and draw a line. Finally turn and count in 1 square and draw a line.
11. 11. Fibonacci Spiral • Now you need to use a compass to draw the curves. • Set them as wide as they need to be to draw a quarter circle. • You will need to adjust them for every section.
12. 12. Fibonacci Spiral Put your pencil on this point Put your compass point on this point.
13. 13. Fibonacci Spiral • When you have completed it, colour it in.