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McREL Standards Activity


DETERMINING THE AREA OF SHEATHING MATERIAL FOR AN INTERIOR WALL


Purpose:As a result of this activity, students will understand how to apply problem solving methods and mathematical calculations to carpentry requirements.
Related Standard & Benchmarks:
Construction
 Standard 1.Understands framing in carpentry
   Level IV [Grade 9-12]
   Benchmark 2. Knows how to frame a wall and partition, including identification of framing members; the layout locations for studs, doors, windows, and wall lines; cutting and building studs, trimmers, cripples, headers, firestops, and corners; and installation of sheathing, diagonal bracing, insulation, and a vapor barrier
Mathematics
 Standard 4.Understands and applies basic and advanced properties of the concepts of measurement
   Level IV [Grade 9-12]
   Benchmark 2. Understands the concepts of absolute and relative errors in measurement
Mathematics
 Standard 4.Understands and applies basic and advanced properties of the concepts of measurement
   Level IV [Grade 9-12]
   Benchmark 4. Solves real-world problems involving three-dimensional measures (e.g., volume, surface area)
Mathematics
 Standard 5.Understands and applies basic and advanced properties of the concepts of geometry
   Level III [Grade 6-8]
   Benchmark 5. Understands the relationships between two- and three-dimensional representations of a figure (e.g., scale drawings, blueprints, planar cross sections)
Thinking and Reasoning
 Standard 5.Applies basic trouble-shooting and problem-solving techniques
   Level IV [Grade 9-12]
   Benchmark 6. Represents a problem accurately in terms of resources, constraints, and objectives
Thinking and Reasoning
 Standard 5.Applies basic trouble-shooting and problem-solving techniques
   Level IV [Grade 9-12]
   Benchmark 10. Evaluates the feasibility of various solutions to problems; recommends and defends a solution
Construction
 Standard 1.Understands framing in carpentry
   Level IV [Grade 9-12]
   Benchmark 2. Knows how to frame a wall and partition, including identification of framing members; the layout locations for studs, doors, windows, and wall lines; cutting and building studs, trimmers, cripples, headers, firestops, and corners; and installation of sheathing, diagonal bracing, insulation, and a vapor barrier
Mathematics
 Standard 1.Uses a variety of strategies in the problem-solving process
   Level IV [Grade 9-12]
   Benchmark 4. Constructs logical verifications or counter examples to test conjectures and to justify algorithms and solutions to problems (i.e., uses deductive reasoning)
Student Product:STUDENT PRODUCT:
Explanation of a solution for how to measure the dimensions of the interior wall and to calculate its area and the required amount of sheathing. Include all relevant details, such as:
•Statement of goals
•Description of means (materials and resources)
•Explanation of problem in terms of  goals and means
•Explanation of possible solution(s)
•Description of tasks involved in testing possible solution(s) including:
  a. measurements (including tolerances)
  b. calculations
  c. diagrams/drawings
•Description of outcome of tested solution(s)
•Explanation of why solution(s) succeeded or failed
Material & Resources:•Markers and chalk
•Pencils and scratch paper
•Appropriate PPE
•Wall plan
•2”x 4” framing lumber top and sole plates, studs, header
•Sheathing material
•Architect’s ruler
•Steel tape measure
•Framing square
•Calculator (instructor’s option)
Teacher's Note:Students should be capable of mastering or have mastered Activity 5.  “Curve Compensation:  How to Determine Required Length of Curved Lumber” before undertaking this activity.
Activity
ACTIVITY:
The students are provided with the materials and resources listed above.  The interior wall plan shows the top and sole plates, studs, header and the height from floor to ceiling. However, it does not specify the distance between the studs.  The students need to determine how to calculate the area of sheathing material needed for this wall.  They will accomplish this goal in two stages.  First, they will use problem solving methods including mathematical algorithms to determine the amount of sheathing needed for the wall.  Second, they will layout the wall materials to test the validity of their solution. This test can be performed at full scale or at smaller scale, such as a table model, depending on availability of resources.
        

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