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Unit of competency details

MEM30012 - Apply mathematical techniques in a manufacturing engineering or related environment (Release 1)

Summary

Usage recommendation:
Current
Mapping:
MappingNotesDate
Supersedes and is equivalent to MEM30012A - Apply mathematical techniques in a manufacturing engineering or related environmentMEM30012 Apply mathematical techniques in a manufacturing engineering or related environment supersedes and is equivalent to MEM30012A Apply mathematical techniques in a manufacturing engineering or related environment 18/Dec/2022

Release Status:
Current
Releases:
ReleaseRelease date
1 1 (this release) 19/Dec/2022

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Unit of competency Assessment requirements

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Training packages that include this unit

Qualifications that include this unit

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MEM50622 - Diploma of Engineering - PrototypingDiploma of Engineering - PrototypingCurrent1 
MEM50822 - Diploma of Applied TechnologiesDiploma of Applied TechnologiesCurrent1 
MEM60122 - Advanced Diploma of EngineeringAdvanced Diploma of EngineeringCurrent1 
MEM50722 - Diploma of Engineering - PlanningDiploma of Engineering - PlanningCurrent1 
MEM30522 - Certificate III in Engineering - TechnicalCertificate III in Engineering - TechnicalCurrent1-2 
MEM60322 - Advanced Diploma of Engineering - PlanningAdvanced Diploma of Engineering - PlanningCurrent1 
MEM50222 - Diploma of Engineering - TechnicalDiploma of Engineering - TechnicalCurrent1 
MEM50119 - Diploma of Engineering - Advanced TradeDiploma of Engineering - Advanced TradeCurrent2 
MEM50522 - Diploma of Engineering - MaterialsDiploma of Engineering - MaterialsCurrent1 
MEM50422 - Diploma of Engineering - Non-Destructive TestingDiploma of Engineering - Non-Destructive TestingCurrent1 
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Classifications

SchemeCodeClassification value
ASCED Module/Unit of Competency Field of Education Identifier 010101 Mathematics  

Classification history

SchemeCodeClassification valueStart dateEnd date
ASCED Module/Unit of Competency Field of Education Identifier 010101 Mathematics  19/Dec/2022 
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Unit of competency

Modification History

Release 1. Supersedes and is equivalent to MEM30012A Apply mathematical techniques in a manufacturing engineering or related environment.

Application

This unit of competency defines the skills and knowledge required to apply the concepts of mathematics to engineering situations within the individual's area of engineering expertise. It applies to technician level work that requires basic algebraic, trigonometric and statistical knowledge and skill Including arithmetic, algebraic expressions with one independent variable, two-dimensional geometry, trigonometry, linear functions, basic quadratic functions and basic statistical methods.

The unit applies to engineering or related activities and is suitable for people giving support in manufacturing or engineering operations and those pursuing qualifications and careers at advanced trade, paraprofessional or technician level. All work is carried out under supervision.

No licensing, legislative or certification requirements apply to this unit at the time of publication.

Band: B 

Unit Weight: 4 

Pre-requisite Unit

Nil

Competency Field

Engineering technician

Elements and Performance Criteria

Elements

Performance Criteria

Elements describe the essential outcomes.

Performance criteria describe the performance needed to demonstrate achievement of the element.

1. Use concepts of arithmetic in the solution of engineering problems

1.1 Follow standard operating procedures and comply with work health and safety (WHS) requirements at all times

1.2 Convert units of physical quantities to facilitate engineering calculations

1.3 Perform calculations to solve problems involving rational and irrational numbers

1.4 Use scientific notation to represent numbers

1.5. Solve engineering problems involving algebraic expressions with one independent variable using mathematical operations in their correct order

1.6 Check calculations for reasonableness using estimating and approximating techniques

2. Use two-dimensional geometry to solve practical problems

2.1 Convert angles expressed in degrees to radians and vice versa

2.2 Calculate the perimeter, area, length and angles of two-dimensional figures

2.3 Calculate the volume and surface area of complex figures

2.4 Convert points identified in terms of cartesian co-ordinates to polar co-ordinates and vice versa

3. Use trigonometry to solve practical problems

3.1 Calculate the lengths of the sides of right-angled triangles using basic trigonometry functions

3.2 Determine angles in a right-angled triangle given the lengths of two sides using inverse trigonometry functions

3.3 Determine the lengths of the sides of acute and obtuse angled triangles given one side and two angles using the sine rule

3.4 Determine the lengths of the sides of acute and obtuse angled triangles given two sides and one angle using the cosine rule

4. Graph linear functions

4.1 Solve linear functions graphically and determine equations of straight lines from the slope and one point or two points

4.2 Solve two linear functions simultaneously, both algebraically and geometrically

4.3 Determine the length and midpoint of a line segment

5. Solve linear and quadratic equations

5.1 Solve quadratic equations

5.2 Solve simultaneous linear and quadratic equations

6. Perform basic statistical calculations

6.1 Calculate mean, median and mode from given data

6.2 Calculate and interpret standard deviation, employing graphical representation

Foundation Skills

This section describes those language, literacy, numeracy and employment skills that are essential to performance.

Foundation skills essential to performance are explicit in the performance criteria of this unit of competency.

Range of Conditions

This field allows for different work environments and conditions that may affect performance. Essential operating conditions that may be present (depending on the work situation, needs of the candidate, accessibility of the item, and local industry and regional contexts) are included.

Trigonometric function identities include:
  • reciprocal
  • Pythagorean
  • quotient
  • co-function
  • odd-even.

Correct order refers to the correct procedure when:
  • expanding brackets
  • factorising algebraic expressions
  • factorising quadratic expressions
  • simplifying algebraic fractions
  • transposing formulae
  • solving simple one variable equations
  • finding the quotient and remainder given a linear division.

Complex figures include the following singularly or in combination:
  • polygons
  • complex shapes
  • cones
  • pyramids
  • spheres
  • frustums and intersections of figures.

Unit Mapping Information

Release 1. Supersedes and is equivalent to MEM30012A Apply mathematical techniques in a manufacturing engineering or related environment.

Links

Companion Volume implementation guides are found in VETNet - https://vetnet.gov.au/Pages/TrainingDocs.aspx?q=b7050d37-5fd0-4740-8f7d-3b7a49c10bb2

 

Assessment requirements

Modification History

Release 1. Supersedes and is equivalent to MEM30012A Apply mathematical techniques in a manufacturing engineering or related environment.

Performance Evidence

Evidence required to demonstrate competence in this unit must be relevant to and satisfy the requirements of the elements and performance criteria and include:

  • solving engineering problems using concepts of arithmetic on at least two occasions
  • two-dimensional geometry
  • trigonometry
  • graphing linear functions
  • solving quadratic equations
  • performing basic statistical calculations.

Note: Where a volume and/or frequency is not specified, demonstration must be provided at least once.

Knowledge Evidence

Evidence required to demonstrate the required knowledge for this unit must be relevant to and satisfy the requirements of the elements and performance criteria and include knowledge of:

  • concepts of mathematics
  • correct order of operations
  • complex figures
  • transposing and evaluating formulae
  • polynomials
  • straight line coordinate geometry
  • indices
  • trigonometry
  • circular functions
  • trigonometry of oblique triangles
  • trigonometric identities
  • functions and their graphs.

Assessment Conditions

  • Assessors must:
  • have vocational competency in applying mathematical techniques in a manufacturing, engineering or related environment at least to the level being assessed with relevant industry knowledge and experience
  • satisfy the assessor requirements in the Standards for Registered Training Organisations 2015 or its replacement and comply with the National Vocational Education and Training Regulator Act 2011, its replacement or equivalent legislation covering VET regulation in a non-referring state/territory as the case requires.
  • Where possible, assessment must occur in operational workplace situations. Where this is not possible or where personal safety or environmental damage are limiting factors, assessment must occur in a sufficiently rigorous simulated environment that reflects realistic operational workplace conditions that cover all aspects of workplace performance, including environment, task skills, task management skills, contingency management skills and job role environment skills.
  • Conditions for assessment must include access to all tools, equipment, materials and documentation required including relevant workplace procedures, product and manufacturing specifications.

Assessment processes and techniques must be appropriate to the language, literacy and numeracy requirements of the work being performed and the needs of the candidate.

Links

Companion Volume implementation guides are found in VETNet - https://vetnet.gov.au/Pages/TrainingDocs.aspx?q=b7050d37-5fd0-4740-8f7d-3b7a49c10bb2

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