Mathplayground.com has a variety of geometry activities that you can do online, including Measuring Angles, Alien Angles, and the Shape Mods. The object of the measuring angles activity is to get the correct angle measurement by rotating the virtual protractor so that it lines up with the angle's vertex. You provide the angle measurement, and the program checks your answer and provides you with instant feedback.
Alien Angles requires you to estimate the entry angles of alien spaceships that are landing on planet Geometry. The program provides you with the angle's measurement, and you have to reproduce it using a virtual protractor. If you are able to reproduce the angle within 5 degrees, you save the aliens.
Shape Mods requires you to determine whether you must use a translation, rotation, or reflection to recreate the geometric shape on a virtual coordinate graph. Once you determine the transformation you use, the computer recreates it and provides you with instant feedback.
You can create a variety of dioramas using construction paper and three-dimensional geometric shapes. Go to the website Fun-Stuff-To-Do.com, and print off a variety of three-dimensional shapes, including pyramids, cubes, prisms and polyhedras. Color the shapes, then fold them according to the website's instructions. Use the shapes to create houses, buildings, trees and other things you would find in a city or town. Glue your objects to a construction-paper base.
Symmetry is when one shape is exactly like another when you transform it by using a translation, rotation or reflection. You can practice symmetry in a variety of ways, including using geometric pattern blocks to duplicate a design and creating a geometric design on the top half of a piece of paper and reflecting it on the bottom half of the paper. You can also practice symmetry by dividing a piece of paper into four quadrants and recreating the same geometric design in each quadrant using reflection and rotation. Or design a geometric quilt by recreating the same design on each quilt square.
A tessellation is a pattern made of geometrical shapes that fit together without leaving gaps or overlapping. A soccer ball is an example of a tessellation. You can create your own geometric tessellation by choosing a parallelogram, drawing a free form line on it, cutting out the part of the parallelogram outside of the line and gluing it to the other side of the parallelogram. Next draw a design on the shape, recreate the tessellation multiple times and fit the designs together as you would a puzzle.