50-804-505Industrial Math 2
Course Information
Description
Examine topics in geometry and trigonometry that are related to the metalworking trades. Practice applying geometric theorems and solving both right and oblique triangle problems.
Total Credits
1
Course Competencies
  1. 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

  2. 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

  3. 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

  4. 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

  5. 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

  6. 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

  7. 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