Superlesson
Project 10-1
Algebra
Chapter 10,
Functions and Structure of Algebra
Leonardo da Vinci's illustrations for the book De Divina Proportione
by Luca Pacioli resemble the constructions we did in previous chapters.
Let's explore!
Part A, Rational and Radical Expressions
1. Begin at the Golden Ratio Web site. Read this information and then select three of the sites highlighted in green. Working with your group, make notes on three key ideas from each site that you investigate.
2. Make a large poster to share your information with the class. Stress the mathematics of each site, including how the Golden Ratio is applicable.
Part C, Making Connections
3. Make a model showing the Golden Ratio. Begin by making a square with a length of 1 unit.
- Choose one side and extend its length to 2 units.
- Complete the rectangle with sides of length 1 and 2.
- Now complete a square on top of this rectangle with sides of length 2.
- Continue until you have constructed 7 squares.
4. Begin with the inner most square. With a corner as a radius, construct a quarter of a circle in each square. Continue the spiral until you have a diagram of the nautilus spiral. How many Golden Rectangles can you find in your construction?