Pre-algebra chapter 5 challenge
 

Part 1:
Read about golden rectangle at https://nrich.maths.org/2563
Read about golden construction at https://nrich.maths.org/2684
Do challenge assignment on making golden rectangle
 
Part 2:
Read about whirling Fibonacci squares at https://nrich.maths.org/4836
Use a calculator to make a table of the ratio of the long side versus the short side and what the ratio equals when you divide the side lengths (instead of using the spreadsheet). Make a table of as many ratios as you can.
 
Long side.    Short side.     Divide long by short
1                       1                         1
2                       1                        2
3                      2                       1.5
 
Create whirling Fibonacci squares using graph paper and do challenge worksheet.
 
Part 3:
Read and do sheep talk problem at https://nrich.maths.org/2683
Read and create The gnomon  https://nrich.maths.org/6470
Do challenge worksheet
 
Research places in nature that have the golden ratio or Fibonacci sequence. Make a list and suggest some topics for further research.

Part 6: explore the website used in previous parts and try a different activity.