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

# Apply mathematical problem solving to machining operations.

## Definition

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?

## Mathematics

### A.1

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

### A.4

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.

### G.13

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

### G.14

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.

## Science

### PH.2

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.

## Common Career Technical Core

### MN-MIR4

Investigate and employ techniques to maximize manufacturing equipment performance.