Each student will be assigned to one of three groups of five. Each group will be assigned to work with a particular group of shapes. Group 1 will be working with triangles. Group 2 will be working with polygons. Group 3 will be researching circles. Each individual student in the group will be assigned a specific task related to their shape. At the conclusion of the conquest, the groups will get together and teach each other what they learned about the shape they were assigned.

**Group 1:** **Triangles** **(Joe, Henry, Jen, Alex, Kate)**

This group will be broken up into five different types of triangles: right, isosceles, acute, obtuse, and equilateral. Each individual student will be responsible for researching one specific type of triangle for the assignment. Each student will be tasked with figuring out how to calculate the surface area of their triangle, as well as discovering the characteristics that are unique to their triangle. An example of this would be researching what makes a right triangle a right triangle, or what makes an equilateral triangle equilateral, rather than obtuse or acute.

**Group 2: Polygons (Steve, Jill, Bob, Tom, Lisa)**

This group will be looking into five different types of polygons. The polygons you will use for your conquest are pentagons, octagons, hexagons, squares, and rectangles. Each individual student in your group will solve the case of one particular type of hexagon. You will discover how to find the surface area of your polygon, as well as it’s particular characteristics, such as number of sides. A question you may ask yourself is: how can I tell if a shape is a hexagon?

**Group 3: Circles (Emily, Jimmy, Timothy, Meredith, Megan) **

The shape this group will discover for their conquest is circles. You will be researching how to find the radius, diameter, arc, circumference, and surface area of a circle. Each student will research one of these measurements specific to circles. It may be helpful to think about how each of these different parts of a circle are related, especially how they all relate to the circle’s surface area.