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Geometry Dwelling

Students will work in a group to build a model dwelling (apartment, condo, or house). Each student must build his or her own room and no more than one room. After planning in school and constructing at home, the rooms must be brought to school and fit together. In this way, building a dwelling will require precise measurements.

  • Every room must be connected to at least two other rooms.
  • Wall height of adjacent rooms (and angle of decline) must be aligned.
  • When assembled, outer walls of a dwelling must be flush.
  • The dwelling must have geometric theme (as evidenced in every room,) the theme must be built (as opposed to drawn) and the evidence of this theme must be justified. Here are some examples of geometric themes:
    • Exhibit rotational symmetry
    • Exhibit reflective symmetry
    • Exhibit congruency
  • Every dwelling has a few additional requirements:
    • Every dwelling must have a bathroom. The bathroom must be the smallest room in the dwelling.
    • Every dwelling must have at least one bedroom.
    • Every dwelling must have a room that is not a bedroom, kitchen, or bathroom. You can call it whatever you want: family room, sitting room, living room, swimming pool room, band practice room...
    • Every dwelling must have exactly one kitchen/kitchenette. The kitchen must be smaller than another room (but not the bathroom.)
    • Every room must have at least one piece of furniture, built to scale.
    • The overall appearance of the house should be consistent. See the rubric for details.
Important Tip:
The house can be built of anything: tissue boxes, amazon delivery boxes, 3d printed, foam board, etc however it is very important you pay attention to the thickness of your material. Don't let the thickness of your material throw off your measurements.

In addition to the above requirements, students may choose to add any of the following bonuses. Be careful! If attempting the bonus causes you to not meet the requirements, you can be marked down but if you execute the bonus tasks successfully, you can earn one extra rubric point (+5%) per bonus.
    • at least one room is connected to three other rooms
    • walls are sloped in order to fit an angled roof
    • every room exhibits more than one geometric theme.
Each student will receive an individual grade and a group grade:

Individual Grade
Note: When the dwellings are assembled, they will be secured with tape and graded. There will be no chance to adjust the rooms for each person's grade.
  123 4 5
 Connections Same as a '2' but with more imperfectionsFour imperfections
three major imperfections
one completely unaligned door and another imperfection
This is the highest grade that can be earned when a door is completely unaligned.
The are two imperfections in door alignment found across all doors. A third imperfection can earn this grade if it is minor (3mm)
One door does not align perfectly with a neighboring room, any of height, width, or location is off.Doors of this room align perfectly* with neighboring rooms. This includes height, width, and location.
 WallsSame as a '3' with two or more measurements that are off.Same as a '3' with one more measurement that is off.This is the highest grade that can be earned by a room that is completely off in any of the three measurements 
two measurements are slightly off
On this room, either wall height or angle don't match
one pair of  walls is not perfectly flush
On this room, wall height and angle match* and walls are perfectly flush
 Theme Both the geometric theme requirement and the overall look of the room are severely compromised. This is the highest grade that can be earned by a room that does not fulfill the geometric theme requirement. This is the highest grade that can be earned by a room that is clearly rushed, incomplete, falling apart, or not decorated. This individual room fulfills the geometric theme requirement completely and is well constructed. There may be a rushed element such as an incomplete justification or furniture that is broken or decorations that are rushed.This individual room is skillfully made. It is clear it was not rushed. It embodies the theme and a justification is precise.

*"perfect alignment" means "within 2mm"
*"matching angle" means "within 3º"

Group Grade
  1 2 3 4 5
 DesignMultiple requirements are not met.Same as a 3 but more issues.This is the highest grade that can be earned by a group that does not meet all furniture requirements, have a theme, or is not ready on the due date.
Same as a 5 with 2 major or  4 minor exceptions.
 All room requirements are met. Scale of furniture is realistic, with one major or two minor exceptions. There is a common theme that ties all rooms together.All room requirements are met. Scale of furniture is realistic, without exception. There is a common theme that ties all rooms together.

(These days are not necessarily consecutive.)

Day 1: Group selection, assignment of roles and initial planning.
Day 2: Solidified thematic plan. Dwelling layout.
Day 3: Drafting walls with paper cutouts.
Day 4: Discussion of progress, finalizing decorations, justifications. Rooms should be constructed at this point but not brought in.
Day 5: Bring rooms in, assemble and measured. 

Where the purple and yellow walls meet in the diagram above, both students would lose two points for the doors (mismatched height and mismatched alignment) and lose one point for the walls (mismatched height)

Where the purple and yellow walls meet in the diagram above, both students would earn no more than a '3' for the doors (completely out of alignment) but would not lose any points for the walls because the walls are aligned perfectly.

Where the purple and yellow walls meet in the diagram above, both students would have a perfect score for the doors because even though it is off a little bit, it is off by less than 2mm. The students would lose 2 points for the walls because both the height and edges are mismatched.

The model furniture in the picture above is disproportioned. The toilet is bigger than the table and the bed is smaller than the table. This group would earn a '4' because even though both the toilet AND the bed are disproportioned, collectively it is all just "furniture". To get a '3', the group would need another error in a different category or just not have all the furniture.

 In the diagram below, all of the pieces of furniture are to scale. This group would earn a 5.