50-420-711Mathematics for the Machine Trades
Course Information
Description
This course provides applied mathematics instruction from a review of basic arithmetic; basic algebra; applications, based on geometry; right triangle trigonometry, oblique angle trigonometry and compound angles.
Total Credits
1
Course Competencies
  1. Perform arithmetic operations on whole numbers and fractions
    Assessment Strategies
    Machinist Math Worksheet
    Criteria
    apprentice selects mathematical operation that matches the given situation (i.e., word problems and/or dimensioned drawings)
    apprentice locates hole center to 90% accuracy
    apprentice has converted all fractions with 90% accuracy
    apprentice has converted all decimals with 90% accuracy
    apprentices uses a calculator correctly
    apprentice finds the center of hole locations on an engineering drawing

  2. Determine powers and roots
    Assessment Strategies
    Machinist Math Worksheet
    Criteria
    apprentice correctly determines the use of powers and or roots as needed for the problem
    apprentice explains the use of powers or roots to solve area problems
    apprentice calculates area to 90% accuracy
    apprentice calculates powers with 90% accuracy
    apprentice calculates roots with 90% accuracy
    apprentice uses a scientific calculator correctly
    apprentice finds the area of a sheet metal part

  3. Solve percentage, ratio and proportion problems
    Assessment Strategies
    Machinist Math Worksheet
    Criteria
    apprentice selects mathematical operation that matches the given situation (i.e., word problems and/or dimensioned drawings)
    apprentice correctly sets up a ratio equation
    apprentice correctly sets up a proportion equation
    apprentice calculates percents to 90% accuracy
    apprentice calculates proportions to 90% accuracy
    apprentice uses a calculator correctly
    apprentice calculates the percent of stock thickness for die clearance

  4. Perform arithmetic operations on signed numbers
    Assessment Strategies
    Machinist Math Worksheet
    Criteria
    apprentice selects mathematical operation that matches the given situation
    tool height offset calculation has the correct sign (positive or negative) according to rules for signed numbers
    tool height offset calculation is accurate to within 90%
    apprentice uses a calculator correctly
    apprentice calculates the tool height offset for a CNC machining center

  5. Evaluate expressions involving order of operations
    Assessment Strategies
    Machinist Math Worksheet
    Criteria
    the solution is arrived at according to order of operations
    the solution numeric values are substituted for literals
    the solution shows order of operations applied to expression
    the solution is stated to the specified precision with 90% accuracy
    the solution formula(s) selected match given situation
    apprentice uses a calculator correctly
    apprentice solves problems for a taper on a cylindrical part

  6. Solve equations
    Assessment Strategies
    Machinist Math Worksheet
    Criteria
    the equation is set up to solve for the required dovetail opening
    the equation required unknown is isolated according to principles of equality
    the equation solution is determined with 90% accuracy using principles of equality
    apprentice uses a calculator correctly
    apprentice creates a dovetail opening on a part

  7. Perform basic geometric operations
    Assessment Strategies
    Machinist Math Worksheet
    Criteria
    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
    apprentice uses a calculator correctly
    apprentice creates a layout on a sheet metal part

  8. Apply the Pythagorean Theorem to right triangles
    Assessment Strategies
    Machinist Math Worksheet
    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
    the calculation formula is rearranged using principles of equality
    the calculation solutions are stated to specified precision with 90% accuracy
    apprentice uses a calculator correctly
    apprentice computes bolt hole circles

  9. Solve right triangle problems
    Assessment Strategies
    Machinist Math Worksheet
    Criteria
    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 100% accuracy
    the chamfer size solution shows use of trigonometric functions to determine a given angle
    apprentice uses a calculator correctly
    apprentice determines the chamfer size on a part

  10. Apply laws of sines and cosines
    Assessment Strategies
    Machinist Math Worksheet
    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 to 100% accuracy
    triangle solutions are stated to specified precision with 80% accuracy
    apprentice uses a calculator correctly
    apprentice solves problems for feature locations on an engineering drawing

  11. Analyze shop applications by constructing triangles
    Assessment Strategies
    Machinist Math Worksheet
    Criteria
    hole location solution is stated to specified precision with 90% accuracy
    hole location solution employs the construction of effective triangles
    apprentice uses a calculator correctly
    apprentice solves problems for hole locations based on radial coordinates on given dimensioned drawings

  12. Apply geometric formulas to right and oblique triangles
    Assessment Strategies
    Machinist Math Worksheet
    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 with 90% accuracy
    apprentice uses a calculator correctly
    apprentice uses the Machinery's Handbook and other references
    apprentice sets up a grinding process for V blocks

  13. Solve compound angle applications
    Assessment Strategies
    Machinist Math Worksheet
    Criteria
    apprentice determines missing dimensions using trigonometry
    apprentice states solutions to specified precision with 80% accuracy
    apprentice uses a calculator correctly
    apprentice uses the Machinery's Handbook and other references
    apprentice solves problems when given 2 angles applied simultaneously (i.e., machining taper on piece elevated in sine bar)
    apprentice creates a draft angle for an injection mold