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Perform basic geometric operations
Assessment Strategies
Oral, Written or Graphic Assessment
Criteria
apprentice shows work and the steps used in solving the problem
the layout has parts of a circle diagrammed and marked
the layout calculations are within 90% accuracy
the layout is completed with geometric principle(s) selected to solve specific layout problems
the layout arc lengths are determined according to principles of proportion
the layout shows degrees, minutes, and seconds converted to decimal degrees and conversely
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Apply the Pythagorean Theorem to right triangles
Assessment Strategies
Oral, Written or Graphic Assessment
Criteria
apprentice identifies given sides of triangle - legs and hypotenuse
apprentice explain the use of the Pythagorean Theorem applied to locating a bolt hole circle
calculation formula is rearranged using principles of equality
the calculation solutions are stated to specified precision and accuracy
apprentice shows work and the steps used in solving the problem
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Solve right triangles
Assessment Strategies
Oral, Written or Graphic Assessment
Criteria
apprentice shows work and the steps used in solving the problem
apprentice identifies opposite, adjacent, hypotenuse relative to specified acute angle
apprentice explains how trigonometric formulas are applied to right triangle solutions
the chamfer size solution is stated to with accuracy
the chamfer size solution shows use of trigonometric functions to determine a given angle
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Apply laws of Sines and Cosines
Assessment Strategies
Oral, Written or Graphic Assessment
Criteria
apprentice shows applications of Law of Sines to oblique triangles in solving for feature location
apprentice shows applications of Law of Cosines to oblique triangles in solving for feature location
feature locations are shown
triangle solutions are stated to specified precision with accuracy
apprentice shows work and the steps used in solving the problem
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Analyze shop applications by constructing triangles
Assessment Strategies
Oral, Written or Graphic Assessment
Criteria
apprentice shows work and the steps used in solving the problem
hole location solution is stated to specified precision
hole location solution employs the construction of effective triangles
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Apply geometric formulas to right and oblique triangles
Assessment Strategies
Oral, Written or Graphic Assessment
Criteria
apprentice selects the appropriate formula
apprentice selects the relevant dimensions
the formula has all numerical values correctly inserted
the formula solution is stated to specified precision
apprentice shows work and the steps used in solving the problem
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Solve compound angle applications
Assessment Strategies
Oral, Written or Graphic Assessment
Criteria
apprentice determines missing dimensions using trigonometry
apprentice states solutions to specified precision
apprentice shows work and steps involved in the solution