Math Focus 7
 Student Centre • Surf for More Math • Try It Out • Web Quests

# Geometric Designs

## INTRODUCTION

Geometry is seen everywhere! Through this webquest, we will explore different places that you may not expect geometry to be.

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

1. 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.
2. 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.
3. 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:

Area of a Triangle

Triangle Explorer

Files:

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 The student has constructed a design, but it is not an accurate replication of the design chosen. The student has constructed a design and it is close to an accurate replication of the design chosen. The student has constructed an accurate replication of the design chosen. The student has constructed an accurate replication of the design chosen, and the design is complex and intricate. Crop Circles The student provides the area and circumference of each circle. No explanation is provided. The student provides area and circumference of each circle. Some explanation is provided, but it is somewhat unclear and/or inaccurate. The student provides the area and circumference of each circle. An accurate explanation is provided. The studnet provides the area and circumference of each circle. A complete, clear and accurate explanation is provided. Area of a Triangle The student does not show 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. The student shows 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. The student shows 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. The student shows 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.