6) fibonacci spiral (2)
DESCRIPTION
fibonacciTRANSCRIPT
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.
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....
Fibonacci Spiral
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
Fibonacci Spiral
• Step One
21 squares
34 squares
Fibonacci Spiral
• Step Two• Turn the page clockwise, count in 21 squares and draw a line
from one side to the other.
Step TwoTurn the page clockwise, count in 21 squares and draw a line from one side to the other
21 squares
34 squares
13 squares
21 squares
Fibonacci Spiral
• Step Three• Turn the page clockwise and count in 13 squares and do a line
across until you meet the previous line.
21 squares
34 squares
21 squares 13 squares
13 squares
8 squares
Fibonacci Spiral
• Step Four• Turn the page clockwise, count in 8 squares and draw a line
across.
8 squares
5 squares
Fibonacci Spirals
• Step Five• Turn the page clockwise and count in 5 square and draw a
line.
5 squares
3 squares
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.
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.
Fibonacci Spiral
Put your compass point on this point.
Put your pencil on this point
Fibonacci Spiral
• When you have completed it, colour it in.