Thursday, February 16, 2012

Summative Geometry Lesson Plan: Area, Perimeter, Polygons

Architecture Firm of _____________________, ____________________ & ______________________
Dear Architects,
Congratulations, you have been chosen to design a new middle school in your school district. Your job depends on using your math skills to create your vision of a middle school. You will draw a blueprint and submit to the school board. You will present your design with the aim it will be selected. Be prepared to answer questions from the school board.
As an architect, you must understand how to calculate perimeter and area as well as present a creative design. Construction must begin soon! Good Luck.
School Requirements
  1. The PERIMETER of your school must be less than 140 units and an area less than 1,200 squared units.
  2. The exterior walls of your school must have more than 4 sides with at least one angle measuring greater than or less than 90 degrees.
  3. Your school must have at least 6 CLASSROOMS of the same size.
  4. Your school must have a CAFETERIA, GYMNASIUM, FRONT OFFICE, a HALLWAY and 2 BATHROOMS .
  5. The GYMNASIUM has a greater AREA than 4 CLASSROOMS and is a rectangle which is not a square.
  6. The CAFETERIA has a greater AREA than the GYMNASIUM.
  7. Be creative! Add other school rooms (computer lab, library, art room, music room, commons area, science lab, locker rooms, auditorium, teachers lounge, etc. And invent a new room you would like to have in your school design.)
  8. Select at least 3 of the following shapes for the rooms or spaces in your school (RECTANGLE, RHOMBUS, RIGHT TRIANGLE, ISOSCELES TRIANGLE, TRAPEZOID, CIRCLE, PENTAGON, HEXAGON, CONCAVE POLYGON and/or PARALLELOGRAM.
  9. Submit a name for your school.
  10. EXTRA CREDIT!!! USE at least 6 of the above shapes in your school.
IMPORTANT: Make sure you LABEL the PERIMETERS and AREAS of each room as well as the entire school. You may use a calculator.
DATA SHEET

__________________________________________ MIDDLE SCHOOL
CLASSROOMS
  1. AREA of 1 Classroom _________    b.  # of Classrooms ______ c. Classroom Shape__________

GYMNASIUM
  1. AREA of Gymnasium ________                b. # of Rooms ___________    c. Room Shape____________

CAFETERIA
  1. AREA of Cafeteria __________ b. # of Rooms ________ c. Room Shape_______________

FRONT OFFICE
  1. AREA of Front Office ______________ b. # of Rooms __________  c. Room Shape___________

BATHROOMS
  1. AREA of Room _______________ b. # of Rooms_________ c. Room shape ____________

____________________ Room
  1. AREA of Room _______________ b. # of Rooms_________ c. Room shape ____________


____________________ Room
  1. AREA of Room _______________ b. # of Rooms_________ c. Room shape ____________

____________________ Room
  1. AREA of Room _______________ b. # of Rooms_________ c. Room shape ____________

____________________ Room
  1. AREA of Room _______________ b. # of Rooms_________ c. Room shape ____________

____________________ Room
  1. AREA of Room _______________ b. # of Rooms_________ c. Room shape ____________

HALLWAYS
  1. Area of Hallways ____________________

TOTAL PERIMETER OF SCHOOL _____________
TOTAL AREA OF SCHOOL __________________

GROUP MEMBERS
FOREMAN: ________________________________________________
ACCOUNTANT: _____________________________________________
DRAFTING: ________________________________________________



10
7
5
2

Requirements
 Met all 9 school requirements
*Add 3 points for Extra Credit
Met 7 of school requirements

*Add 1 point for Extra Credit
Met 5 school requirements

*No Extra Credit
Met less than 5 school requirements
*No Extra Credit

Accuracy
All Data Sheet and Blueprint measurements are accurate

Showed Work
A few calculation errors on either Data Sheet and/or Blueprint

Showed Work
Several calculation errors on Data Sheet and Blueprint

Showed Work
Most calculations are inaccurate

*Subtract 1 point for not showing work

Presentation
  • Blueprint is neat and readable.
  • All rooms, area and perimeters are labeled
  • Presentation explained blueprint clearly and made the case to the school board
  • Blueprint is fairly neat and readable
  • Most rooms, area and perimeters are labeled
  • Presentation somewhat described choices made and did not make case why the project should be chosen
  • Blueprint is messy
  • Most rooms, area and perimeters are not labeled
  • Presentation did not describe why choices were made and did not address why project should be chosen
  • Blueprint is unreadable
  • Presentation did not describe why choices were made and did not address why project should be chosen

Group Work
  • All group members collaborated equally and effectively
  • No behavior problems
  • All group members fulfilled their duties
  • 2 group members did bulk of the work
  • No behavior problems
  • All group members fulfilled their duties
  • 2 group members did a bulk of the work
  • Some behavior problems
  • Not all group members fulfilled their duties
  • 1 group member did a bulk of the work
  • This group had multiple behavior issues and did not work well together
  • Not all group members fulfilled their duties

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