Your teacher will give you a page with two circles on it and a piece of paper that is a different color.

Follow these instructions to create a visual display:

1. Cut out both circles, cutting around the thick outline.

2. Fold and cut one of the circles into fourths.

3. Arrange the fourths so that straight sides are next to each other, but the curved edges are alternately on top and on bottom.
   Pause here so your teacher can review your work.

4. Fold and cut the fourths in half to make eighths. Arrange the eighths next to each other, like you did with the fourths.
   Pause here so your teacher can review your work.

5. Glue the remaining circle and the new shape onto a piece of paper that is a different color.

After you finish gluing your shapes, answer the following questions.

1. How do the areas of the two shapes compare?

2. What polygon does the shape made of the circle pieces most resemble?

3. How could you find the area of this polygon?

Imagine a circle made of rings that can bend, but not stretch.

1. ​​​​​​What polygon does the new shape resemble?
2. How does the area of the polygon compare to the area of the circle?
3. How can you find the area of the polygon?
4. Show, in detailed steps, how you could find the polygon’s area in terms of the circle’s measurements. Show your thinking. Organize it so it can be followed by others.

Here are some special objects that might be seen at a Lakota powwow, or wacipi (wah-CHEE-pee).

1. A hoop drum has a radius of 7 inches. What is the area of the drum?

   

2. A beaded medallion has a diameter of 6 centimeters. What is the area of the medallion?