The automobile 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 to
arrive at a solution that can be compared to other
specifications when comparing system measurements 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.
Divide decimals to determine measurement conformance
with the manufacturer's specifications.
Convert variables presented orally to a mathematical form
that provides 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 or lubricant.
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 angle variances from the
manufacturer’s specifications.
Solve problems that involve determining the relative
proportion of 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 system being analyzed.
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.
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
systems requiring geometric alignment.
Use formulas to indirectly confirm systems that 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.
Visually formulate a belt (e.g., suspension/drive) angle and
verify conformance to the manufacturer's specified angle.
Measure timed or sequenced operating 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 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.
