Goal: Develop understanding of parallel and perpendicular lines in the "real" world. Learn how to better depict 3-dimensional objects on a 2-dimensional surface. Identify and name 2-dimensional objects in 3-dimensional space. But most importantly, have fun!
1) On a sheet of isometric graph paper draw a rectangular solid as per the example in section 1.8 in Discovering Geometry. Name each of the vertices. When appropriate to complete the following exercises you may add to the solid.
a) Represent a line and highlight it in green. Name the line and highlight the name in
b) Represent a ray and highlight it in pink. Name the ray and highlight the name in pink.
c) Represent a segment and highlight it in blue. Name the segment and highlight the
name in blue.
d) Represent a plane and highlight it in yellow. Name the plane and highlight the name in
e) Name three collinear points that are on your green line. Name 1 point not collinear with
the points on the green line.
f) Find and name the following objects that are coplanar with the yellow plane
- 2 coplanar lines
- 4 coplanar points
- a line and a point not on the line
g) Find and name one object that is not coplanar with the yellow plane.
h) Represent an angle and highlight it in orange. Name the angle and highlight the name in
2) On same or if necessary separate sheet of isometric graph paper draw a building using the techniques from step 1. The building must a) be at least 3 stories b) include at one door on each side c) include at least 2 windows on each side. Be careful to draw doors and windows to scale. I.e. your doors and windows must be smaller than each story and while though some windows are larger than doors, if you choose to do this explain why on the graph next to the building. Make sure that each line depicts parallelism or perpendiculism as appropriate.
3) On a separate sheet of isometric graph paper draw a city block. The block must have at least 3 buildings of various heights. The corner building must have at least 1 door and 2 windows on each side. Here is your chance to be creative! Place signs and awnings to show what is inside each building. Make sure that all decorations are also to scale and depict parallelism or perpendicularism. Extra credit for correctly depicted decoration.
All decorated projects that are scored with 24 points or more (there are 30 maximum points) will be posted on the website.
Turn in project with blank Isometric Graph Project Rubic attached.