
Chapter 5: Measurement
Geometric Designs
INTRODUCTION
Geometry is seen everywhere! Through this webquest, we will explore different places that you may not expect geometry to be.
THE TASK
This task will take you on a journey through geometry. Sometimes you will get to sit back and admire the amazing things that exist because of geometry, and sometimes you will participate in the analysis of geometry.
THE PROCESS

To warm up, pick one of the designs from the website Native American Geometry as a model, and recreate it using only a compass and straight edge. Your design should look the exactly the same as the model you chose, but it does not need to be to scale.
 Circles are a very important and somewhat mysterious geometric shape. Some rather mysterious circles that we find from time to time are Crop Circles. Check out this website and click on a crop circle that is of interest to you. On that page, or linked to that page, you will find a geometric description of your crop circle. Print out the page with the geometric details and find the circumference and area of each circle. Then, explain in your own words any other interesting geometric phenomenon related to the crop circle you chose.

Triangles can be found everywhere. Using the websites Area of a Triangle and Triangle Explorer, explore how to find the area of a triangle. Using a piece of 8.5 ×11 paper, draw the Canadian flag. What is the area of your flag? Fold the flag along the diagonal to create two identical triangles. What is the area of each triangle? Complete the Relating Area Worksheet to show how the area of a triangle and the area of a rectangle are related.
RESOURCES
Websites:
Native American Geometry
Crop Circles
Area of a Triangle
Triangle Explorer
Files:
Relating Area Worksheet
Materials:
Paper, pencil, compass and ruler
8.5 ×11 sheet of paper and a red marker
ASSESSMENT

Level 1 
Level 2 
Level 3 
Level 4 
Native American Geometry 
I have constructed a design, but it is not an accurate replication of the design chosen. 
I have constructed a design and it is close to an accurate replication of the design I chose. 
I have constructed an accurate replication of the design I chose. 
I have constructed an accurate replication of the design I chose, and the design is complex and intricate.

Crop Circles 
I provided the area and circumference of each circle.
I did not provide an explanation of the geometric features of my crop circle. 
I provided area and circumference of each circle.
I provided some explanation of the geometric features of my crop circle, but it may be unclear and/or inaccurate. 
I provided the area and circumference of each circle.
I provided an accurate explanation of the geometric features of my crop circle. 
I provided the area and circumference of each circle.
I provided a complete, clear and accurate explanation of the geometric features of my crop circle. 
Area of a Triangle 
I do not have an understanding of how to calculate the area of a triangle, and how the area of a triangle is related to the area of a rectangle. 
I have a basic understanding of how to calculate the area of a triangle, and how the area of a triangle is related to the area of a rectangle. 
I have an understanding of how to calculate the area of a triangle, and how the area of a triangle is related to the area of a rectangle. 
I have a complete understanding of how to calculate the area of a triangle, and how the area of a triangle is related to the area of a rectangle. 


