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5.06_Golden Rectangle_Fibonacci
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Learning Objective: YWBAT create a golden rectangle.
Essential Question: How does the golden rectangle connect with the Platonic Solids?
Today's work: Fibonacci sequence activity
We can use our Fibonacci numbers to create a Golden Rectangle! Let's start with a piece of graph paper.
Construction Challenge - the Icosahedron! Part 1
Do Now: Below are 7 numbers of a sequence. Look closely for the pattern. If you see it, keep the answer to yourself for now.
Platonic Solids
1, 1, 2, 3, 5, 8, 13, __, __, __,...
A special type of polyhedra where:
1. All faces are regular polygons.
What is the pattern? And what will the 8th, 9th, and 10th numbers be?
2. All faces are congruent.
The Fibonacci Sequence: A sequence of numbers where:
- The first two numbers are 1 and 1
3. The same number of faces/edges meet at each vertex.
- Each "next" term is found by adding the two terms before it.
Partner Work: Complete the first part of the worksheet
What value does the ratio of adjacent Fibonacci numbers seem to be approaching?
Unit 5 - Modeling by Folding
1. We will be creating squares the size of each Fibonacci number in the sequence. So 1 gets a 1x1 square, and 2 gets a 2x2, and on and on.
2. Start with your first 1x1 square 14 units from the left and 9 unit up from the bottom.
To draw the spiral! Start at the vertex of your first square and draw a sprial that passes through the vertex opposite to the vertex where you first entered that square. (reword - or just demo. This is tricky to word accurately and simply.)
Create three golden rectangles that are orthagonal to one another (fancy word for perpendicular)
Follow the instructions on the worksheet. Only construct the rectangles - they will be the skeleton for icosahedron that we will construct tomorrow.
Save your file as:
<name> Icosahedron Construction_r1_vA
Groups & Computer Assignments
Computer guidelines:
1. Laptops - pick up one at a time. Carry with two hands.
2. Absolutely no food or beverages - if we see it, you'll be asked to throw it away.
3. Any disrespectful or improper use of the technology will result in the confiscation of the technology and a zero on the assignment.