Infusing Mathematics into
Automotive Technology Instruction

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NATEF Applied Mathematics Skills

MA001 Algebraic Expressions The technician can use Ohm’s law to determine circuit parameters that are out-of-tolerance.

MA013

Mean/Median/Mode

The technician can calculate the average (mean) of several different measurements to determine any variance from the manufacturer’s specifications.

MA026

Decimals

The technician can add numbers that include decimals to determine conformance with the manufacturer’s specifications.

MA028

Mentally

The technician can mentally add two or more numbers to determine conformance with the manufacturer’s specifications.

MA034

Whole Numbers

The technician can add whole numbers to accurately determine measurement conformance with the manufacturer’s specifications.

MA039

Decimals

The technician can divide decimals to determine measurement conformance with the manufacturer’s specifications.

MA041

Mentally

The technician can mentally divide numbers to determine conformance with the manufacturer’s specifications.

MA047

Whole Numbers

The technician can divide whole numbers to determine differences for comparison with the manufacturer’s specifications.

MA065

Decimals

The technician can multiply numbers that include decimals to determine conformance with the manufacturer’s specifications.

MA067

Mentally

The technician can mentally multiply numbers that include decimals to determine conformance with the manufacturer’s specifications.

MA073

Whole Numbers

The technician can multiply whole numbers to determine differences for comparison with the manufacturer’s specifications. 

MA084

Decimals

The technician can subtract numbers that include decimals to determine conformance with the manufacturer’s specifications.

MA086

Mentally

The technician can mentally subtract numbers to arrive at a difference for comparison with the manufacturer’s specifications.

MA092

Whole Numbers

The technician can subtract whole numbers to determine differences for comparison with the manufacturer’s specifications.

MA097

Charts/Tables Graphs

The technician can construct a chart, table, or graph that depicts a range of performance characteristics of various system operational conditions that can be used for comparisons.

MA116

Ratios/Percents

The technician can convert test readings that are in decimal or fraction form to a ratio or percent form for comparison with the manufacturer’s specifications.

MA117

Equivalent Form

The technician can convert variables presented in one form to another that allows an algebraic solution based on known information (i.e. converting E=IR to R=E/I).

MA126

English/Metric Conversions

The technician can measure/test with tools designed for English or metric measurements and then convert the resulting measurement to the system used by the manufacturers for specifying the correct measurement or tolerance.

MA129

Geometric Figures

The technician can distinguish whether or not the angle between related parts (i.e. Suspension components) is within the manufacturer’s specifications.

MA131

Equal/Not Equal

The technician can distinguish when a measurement or tolerance is not equal to the manufacturer’s specifications.

MA132

Estimate/Exact Value

The technician can distinguish the need to use an exact value versus an estimated performance value, depending upon the system malfunction.

MA133

Proportion/Congruence
(Range)

The technician can distinguish the congruence of measured tolerances with those specified by the manufacturer.

MA140

Everyday Occurrences

The technician estimates the anticipated performance outcome of a normally operating system as well as expected outcome of everyday occurrences such as the manufacturer’s specifications.

MA146

Add/Subtract
Divide/Multiply

The technician can estimate the results of basic arithmetic operations, and can accurately round up or down depending on the appropriate rule for the situation.

MA153

Angles

The technician can visually formulate an angle, (i.e. suspension system or drive belt) and verify its conformance to the manufacturer’s specified angle.

MA161

Length/Volume/Weight

The technician can determine the degree of conformance to the manufacturer’s specifications for length, volume, and any other appropriate measurements in the English system.

MA168

Parallel/Perpendicular

The technician can use measurement devices to determine the parallelism or perpendicularity of chassis, suspension, and other vehicle systems requiring geometric alignment principles.

MA171

Length/Volume/Weight

The technician can determine the degree of conformance to the manufacturer’s specifications for length, volume, and any other appropriate measurements in the metric system.

MA172

Word Problems

The technician can discuss symptoms of problems with a customer or associate technician and identify any relevant missing data required to solve the problem.

MA174

Charts/Tables/Graphs

The technician can interpret charts, tables, or graphs to determine the manufacturer’s specifications for a given system.

MA176

<, >, =, etc.

The technician interprets symbols to determine compliance with the manufacturer’s specifications.

MA177

Place Value

The technician is able to interpret place value (tenths, hundredths, thousandths) when conducting precision measurements.

MA180

Angles

The technician can use angle measurement equipment and techniques to determine any vehicle angle measurement variance from the manufacturer’s specifications.

MA181

Distance

The technician can measure distance using a variety of devices to determine conformance to the manufacturer’s tolerances and specifications.

MA182

Temperature

The technician can use appropriate measurement tools to determine the existing temperature of substances such as a coolant or lubricant.

MA183

Time

The technician can use different measurement tools and techniques to determine if the system’s timed or sequenced operating parameters are in conformance with the manufacturer’s specifications.

MA184

Volume

The technician can use various volume measurement techniques to determine the volume in a system, component, or cylinder.

MA185

Weight

The technician can use scales to determine whether the weight of a given component is in conformance with the manufacturer’s specified weight.

MA187

Formulas

The technician can use formulas to indirectly measure systems that are outside of the manufacturer’s specifications.

MA191

Temperature

The technician can use metric temperature measurement instruments to measure system temperature and determine conformance to metric specifications.

MA192

Volume

The technician can determine the volume of a vessel when the specifications are in liters.

MA193

Weight

The technician can use metric weighing devices to determine the conformances of a weight to metric tolerances.

MA226

Specified Symbols

The technician can use conventional symbols (E for voltage, etc.) to solve problems using formulas such as Ohm’s Law, E=IR.

MA228

Direct/indirect Variation

The technician can 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.

MA229

Deductive Reasoning

The technician can identify the specific cause of the described problem by generating conclusions based on known symptoms related to the problem.

MA230

Proportion

The technician can solve problems that determine the proportion of variables of a solution and determine if that proportion is within the manufacturer’s specifications.

MA232

Volume

The technician can solve problems that involve determining whether the proportion of the existing volume is within recommended tolerance when compared to the manufacturer’s specifications.

MA238

Trial and Error

The technician occasionally solves problems by trying a suggested solution and observing the results.

MA239

Conditionals

The technician understands that if the described problem has certain conditions (symptoms), then there are a limited number of probable solutions to the problem.

MA242

Standards

The technician can use and conform to standards defined by each manufacturer for the system being analyzed.

MA244

Visual Perception

The technician can visually perceive the geometric relationship of systems and subsystems requiring alignment.

MA245

Relationships

The technician understands the necessity of verifying that the relationship of parallel lines and angle relationships concur with the manufacturer’s specifications when diagnosing a system malfunction.

MA258

Probability

The technician understands that problem symptoms can be statistically related to the probability of specific part or system malfunctioning. 

MA271

Proper Operation

The technician can determine the proper sequence of arithmetic operations to arrive at a solution when comparing system measurements to the manufacturer’s specifications.

MA273

Mentally

When comparing the observed measurement to the manufacturer’s specifications, the technicians can mentally compute whether the observed measurement is out-of-tolerance.

MA274

Mentally

The technician can determine the proper mathematical operation (addition, multiplication, subtraction or division) and mentally arrive at a solution.

MA275

Fahrenheit/Centigrade

The technician can identify whether a temperature measurement should be made using a Fahrenheit or Centigrade measuring device.

 




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