# CTE Resource Center - Verso - Precision Machining Technology I Task 326125416

CTE Resource Center - Verso

Virginia’s CTE Resource Center

Apply mathematical problem solving to machining operations.


Application should include using arithmetic, geometric, algebraic, and trigonometric operations when
  • selecting and sequencing operations
  • holding the work
  • producing surfaces
  • locating surfaces and center lines
  • analyzing operations and sequences
  • troubleshooting a machine tool or cutting tool
  • calculating speeds and feeds
  • calculating operation times
  • calculating dimensions from a blueprint
  • factoring statistics required by control charts
  • identifying the impact of a change of speed or feed
  • calculating the volume of material stored
  • using trade formulas to prepare a process plan
  • performing benchwork and layout operations
  • operating machine tools
  • performing inspection and control functions
  • solving for unknowns in right triangles
  • analyzing parts for plane perpendicularity, Cartesian coordinates, concentricity, parallelism, straightness, flatness, circularity, and symmetry, with an accuracy required by the blueprint and industry standard.

Process/Skill Questions

  • What tools are available to assist machinists in their calculations?
  • What is a common machining task or problem that would require the machinist to apply principles of trigonometry? 
  • How are tolerances applied to dimensions?

Related Standards of Learning



The student will
  1. represent verbal quantitative situations algebraically; and
  2. evaluate algebraic expressions for given replacement values of the variables.


The student will solve
  1. multistep linear and quadratic equations in one variables algebraically;
  2. quadratic equations in one variables algebraically;
  3. literal equations for a specified variable;
  4. systems of two linear equations in two variables algebraically and graphically; and
  5. practical problems involving equations and systems of equations.


The student will use surface area and volume of three-dimensional objects to solve practical problems.


The student will apply the concepts of similarity to two- or three-dimensional geometric figures. This will include
  1. comparing ratios between lengths, perimeters, areas, and volumes of similar figures;
  2. determining how changes in one or more dimensions of a figure affect area and/or volume of the figure;
  3. determining how changes in area and/or volume of a figure affect one or more dimensions of the figure; and
  4. solving problems, including practical problems, about similar geometric figures.



The student will investigate and understand how to analyze and interpret data. Key concepts include
  1. a description of a physical problem is translated into a mathematical statement in order to find a solution;
  2. relationships between physical quantities are determined using the shape of a curve passing through experimentally obtained data;
  3. the slope of a linear relationship is calculated and includes appropriate units;
  4. interpolated, extrapolated, and analyzed trends are used to make predictions; and
  5. situations with vector quantities are analyzed utilizing trigonometric or graphical methods.

Other Related Standards

Common Career Technical Core


Investigate and employ techniques to maximize manufacturing equipment performance.