Ben has been working on a geometry main lesson block since the start of our school year. We are using Barbara Dewey's book for sixth graders. Ben is enjoying it thoroughly and I thought I would post some photos of his work. I hope to have all the drawings up in an album soon. Sorry some of the following drawings are light and difficult to see but they are all done in regular pencil (unless colored).
Compass work, creating circles with circumferences 1" in size different from the last with the same center.
This drawing was made by creating a center circle and stepping around the circumference with equal sized circles. Then the star area was colored with colored pencils.
Creating a perfect hexagon is done by stepping around the circumference of the circle with the compass and joining the points with a ruler.
The same points on the circumference are used to make a six pointed star....
...and to divide the circle into six equal parts.
Lastly, he determined the number of times the points along the circumference could connect mathematically and color coded the equation.
5 + 4 + 3 + 2 + 1 = 15.
He also noticed that this drawing was a combination of the previous three: the hexagon, the six pointed star and the circle divided into an equal pie.
Ben has learned how to use a compass, ruler and several definitions (radius, circumference, etc.) thus far in our study of geometry. We are really enjoying doing it together.