Gold Seal Lesson:
Building A Shed

Copernicus Education Gateway

 

Subject:

 

Mathematics

Grade:

 

 

9-12

 

 

 

ICLE Standards:

 

 

Basic Skills -   read, write, and perform mathematical operations.

Thinking Skills -  think creatively, make decisions, solve problems, and visualize.

Resources -   identify, organize, plan, and allocate resources.

Systems -   understand complex inter-relationships.

 

 

 

Performance Task:

 

 

Mr. Quesenberry wants a place to store tools and flower pots, with enough room for a work bench. He is thinking about a 12-foot by 14-foot building on a concrete slab.  Mr. Quesenberry asks you to draw a sketch of a durable and attractive building and develop a mill list complete with prices.

Procedure:

  1. Read the specifications below:
  • A 12-foot by 14-foot building will be constructed on a 4-inch concrete slab.
  • The concrete around a 1-foot perimeter of the building will be 6 inches thicker than the slab.
  • The floor will be reinforced with steel rods or netting as required by the local code.
  • The walls will be constructed of 2 x 4 studs double plated around the door and the windows according to the building codes.
  • All framing will be placed on 16-inch centers.
  • The walls will be covered by T111 plywood siding, cedar weather boarding, or vinyl siding. If the plywood siding or cedar weather board siding is chosen, it will be coated with a wood preserving stain.  Which siding to use will be determined by cost.
  • The rafters for the roof will be constructed using the king post trust method.
  • The roof will be an A frame roof rising 3 feet over a 6-foot span and covered with asphalt shingles.
  • The double utility steel doors will fit in a 4-foot opening. Two single hung windows (32 inches by 36 inches) will be placed in the rear of the building.
  • The building will be wired for electricity. The feed to the building will be underground for approximately 75 feet. Each wall will have two receptacles.
  • Overhead lighting will come from either incandescent lights or florescent lights.
  1. Using the information above, sketch your design
  2. On a computer spreadsheet, develop a mill list of material with prices.
  3. In the same file, keep a control sheet, floor sheet, walls, and roof.  All spreadsheets must be linked to the control sheet that keeps calculations of each category listed and the total cost.
  4. List the materials separately on the appropriate spreadsheet.
  5. Read the local building code and use only materials that meet the building codes accepted for your area.
  6. Present a materials list with the estimated costs in a format that a customer who is not familiar with building trades can understand.
  7. Be prepared to answer questions concerning the materials you chose and also be prepared to defend your answer.
  8. Compare your estimate to your classmates'. If you were Mr. Quesenberry, which builder would you choose?
  • Mathematics Concept
  • Calculation of linear feet and surface area.

 

 

 

Knowledge / Skills:

 

 

Perform operations with signed (positive and negative) numbers, including decimals, ratios, percents, and fractions.   M.1

Compute the perimeter and area of two-dimensional figures.  M.13

Use the technique of dimensional analysis to convert units of measure (e.g., convert km/hr to m/min).  Understand and use various techniques for estimating, making and converting measure; and using these to perform dimensional analysis.  M.33

Gather information from a variety of sources, including electronic sources, and summarize, analyze, and evaluate its use for a report.  ELA.3

Respond orally to fellow student's opinions during presentations by asking questions, asking for clarification, agreeing and/or disagreeing courteously.  ELA.59

 

 

 

Rubric:

 

 

4 POINTS =   Excellent: The student worked above minimum requirements of the assignment and demonstrated mastery of the subject, topic, or principle with little or no help or coaching.

3 POINTSVery good: The student worked above minimum requirements of the assignment and demonstrated mastery of the subject, topic, or principle with some coaching and help.

2 POINTS =Good but needs improvement: The student met only the minimum requirements of the assignment. He or she did not demonstrate mastery of the subject, topic, or principle and needed considerable coaching and help.

1 POINT = Poor: The student did not meet the minimum requirements for the assignment even with considerable coaching and extra help.  The student was able to calculate the surface areas, volume, and linear feet of the materials necessary to construct the  building. The student demonstrated knowledge of the types of materials  that can be used under the local building codes. The student understood the information in the local building code as it pertained to the project.

 

 

 

 

Keywords:

 

 

APPLIED MATH

BUDGETING

COST ANALYSIS

GEOMETRY

AREA

SURFACE AREA

PERIMETER 

MEASUREMENT

TABLES
TECHNOLOGY INTEGRATION
RESEARCH

DISCUSSION

 

 

 

Grades:

 

 

Kg [] - 1 [] - 2 [] - 3 [] - 4 [] - 5 [] - 6 [] - 7 [] - 8 [] - 9 [x] - 10 [x] - 11 [x] - 12 [x]

 

 

 

ICLE Application:

 

 

D

 

 

 

 

 

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