NARRATIVE FOR MATHEMATICS RELATED ACADEMIC SKILLS

for all NATEF Collision Repair and Refinish Technician Task Lists

The collision repair and refinish technician must be proficient in the following Mathematics- Related Academic Skills that are embedded in the occupation. Given these skills the technician must be able to:

• Determine the proper sequence of arithmetic operations that are needed to arrive at a solution that can be compared to other specifications when comparing system measurements or tolerances to the manufacturer's specifications.
• Add two or more whole numbers, fractions, or decimals to determine component conformance of multiple measurements with the manufacturer's specifications.
• Subtract whole numbers, fractions, or decimals to arrive at a difference for comparison with the manufacturer's specifications.
• Multiply whole numbers, fractions, or decimals to arrive at a solution for comparison with the manufacturer's specifications.
• Divide decimals to determine measurement conformance with the manufacturer's specifications.
• Convert variables presented orally to a mathematical form that allows for an algebraic solution.
• Estimate the results of basic arithmetic operations, and accurately round up or down depending on the appropriate rule for the situation.
• Analyze and solve problems requiring the use of fractions, decimals, ratios, or percentages by a direct or indirect variation of the numerical elements of the problem.
• Determine the irrelevant and/or missing data needed to solve a problem.
• Determine and interpret place value (tenths, hundredths, thousandths) when conducting precision measurements.
• Use Centigrade or Fahrenheit measurement scales to determine the existing temperature of substances such as a coolant, lubricant, compound, or finish material.
• Use English and metric volume measurement techniques to determine the volume of a system, component, or cylinder.
• Use conventional symbols (E for voltage, etc.) to solve circuit parameter calculations using formulas such as Ohm's Law, E=IR.
• Understand that if the described problem has certain conditions (symptoms), then a limited number of solutions to the problem apply.
• Understand the relationship between the frequency of the occurrence of a problem (symptom) and the probability of accurately predicting the problem.
• Calculate the average (mean) of several measurements to determine the variance from the manufacturer's specifications.
• Use English and metric angle and distance measurements and techniques to determine parallel lines, perpendicular lines, and angle variances from the manufacturer's specifications.
• Solve problems that involve determining the relative proportion of the desired versus undesired ingredients or elements of a mixture, and determine if that proportion is within the manufacturer's specifications.
• Comprehend and use standards defined by each manufacturer for the component or system being analyzed and repaired.
• Convert test readings that are in decimal or fraction form to a ratio or percent for comparison with the manufacturer's specifications for the sub-system under review.
• Know when to use an estimated performance value versus an exact value, basing the decision on the system being analyzed or repaired.
• Visually perceive the geometric relationship of systems and sub-systems that require alignment.
• Construct or interpret a chart, table, graph, or symbol that depicts a range of performance characteristics that can be used for comparing various system operational conditions.
• Use measurement devices to determine the parallelism or perpendicularity of chassis, suspension, and other vehicle components requiring geometric alignment.
• Use formulas to indirectly confirm that systems are outside of the manufacturer's specifications.
• Verify that the relationship between parallel lines and angles concurs with the manufacturer's specifications when diagnosing a system's malfunction.
• Formulate an angle visually and verify conformance to the manufacturer's specified angle.
• Measure timed or sequenced parameters to determine conformance with the manufacturer's specifications.
• Use English and metric scales to determine the conformance of components to the manufacturer's specified weight.
• Determine the degree of conformance to the manufacturer's specifications for length, volume, and other appropriate measurements in the English and/or metric system.
• Distinguish the congruence of the measured tolerances with those specified by the manufacturer.
• Measure and/or test with tools designed for English or metric measurements, then convert the result to the manufacturer's system used for specifying the correct measurement or tolerance.
• Compute mentally whether the observed measurement is out-of-tolerance when comparing the observed measurement to the manufacturer's specifications.
• Solve problems that involve determining whether the proportion of the existing volume or mixture compares to the manufacturer's specifications and is within the recommended tolerance.
• Distinguish whether a measurement or tolerance is equal or not equal to the manufacturer's specifications.