Unit of competency Outline
Date retreived
21/07/2026 11:17 PM AWST
21/07/2026 11:17 PM AWST
Whilst all efforts are made to provide accurate and timely information from the relevant source/documentation, please be aware that the information supplied may not be the most current version. The accuracy of the detail has not been confirmed by the Department and therefore should not be relied upon without first confirming the contents.
Apply mathematical techniques in a manufacturing engineering or related environment
Apply mathematical techniques in a manufacturing engineering or related environment
Unit of competency
National Code
MEM30012A
MEM30012A
State Code
W5428
W5428
TGA Status
Replaced
Replaced
DTWD Status
Replaced
Replaced
State Implementation and Classification
Approved Date
02/02/2015
Field of Education
010101 - Mathematics
Original Release Date
02/02/2015
Nominal Hours
60
Description
This unit covers applies the concepts of mathematics to appropriate and simple engineering situations within the individual's area of engineering expertise.
Notes
Elements and Performance Criteria
1. Use concepts of arithmetic in the solution of engineering problems
- 1.1. Units of physical quantities are converted to facilitate engineering calculations.
- 1.2. Calculations are performed to solve problems involving rational and irrational numbers.
- 1.3. Scientific notation is used to represent numbers.
- 1.4. Calculations are checked for reasonableness using estimating and approximating techniques.
2. Solve engineering problems involving algebraic expressions with one independent variable
- 2.1. Algebraic expressions are manipulated using mathematical operations in their correct order.
3. Use two-dimensional geometry to solve practical problems
- 3.1. Angles expressed in degrees are correctly converted to radians and vice versa.
- 3.2. The perimeter, area, length and angles of a range of two-dimensional figures are correctly calculated.
- 3.3. The volume and surface area of complex figures are correctly calculated.
- 3.4. Points identified in terms of cartesian coordinates can be converted to polar coordinates and vice versa.
4. Use trigonometry to solve practical problems
- 4.1. Basic trigonometry functions are used to calculate the lengths of the sides of right-angled triangles.
- 4.2. Inverse trigonometry functions are used to determine angles in a right-angled triangle given the lengths of two sides.
- 4.3. The sine rule is used to determine the lengths of the sides of acute and obtuse angled triangles given one side and two angles.
- 4.4. The cosine rule is used to determine the lengths of the sides of acute and obtuse angled triangles given two sides and one angle.
5. Graph linear functions
- 5.1. Linear functions are solved graphically and equations of straight lines are determined from the slope and one point, or two points.
- 5.2. Two linear functions are solved simultaneously both algebraically and geometrically.
- 5.3. The length and mid point of a line segment are determined.
6. Solve quadratic equations
- 6.1. Quadratic equations are solved.
- 6.2. Simultaneous linear and quadratic equations are solved.
7. Perform basic statistical calculations
- 7.1. Mean, median and mode are calculated from given data.
- 7.2. Standard deviation is calculated and interpreted employing graphical representation.
RANGE STATEMENT
The range statement relates to the unit of competency as a whole. It allows for different work environments and situations that may affect performance. Bold italicised wording, if used in the performance criteria, is detailed below. Essential operating conditions that may be present with training and assessment (depending on the work situation, needs of the candidate, accessibility of the item, and local industry and regional contexts) may also be included.
Concepts of mathematics
Include arithmetic, algebraic expressions with one independent variable, two-dimensional geometry, trigonometry, linear functions, basic quadratic functions, basic statistical methods
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
May include cones, pyramids, spheres, frustums and intersections of figures singularly or in combination
The range statement relates to the unit of competency as a whole. It allows for different work environments and situations that may affect performance. Bold italicised wording, if used in the performance criteria, is detailed below. Essential operating conditions that may be present with training and assessment (depending on the work situation, needs of the candidate, accessibility of the item, and local industry and regional contexts) may also be included.
Concepts of mathematics
Include arithmetic, algebraic expressions with one independent variable, two-dimensional geometry, trigonometry, linear functions, basic quadratic functions, basic statistical methods
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
May include cones, pyramids, spheres, frustums and intersections of figures singularly or in combination
EVIDENCE GUIDE
The evidence guide provides advice on assessment and must be read in conjunction with the performance criteria, required skills and knowledge, range statement and the Assessment Guidelines for the Training Package.
Overview of assessment
A person who demonstrates competency in this unit must be able to apply mathematical skills and knowledge to simple engineering applications. Evidence from tasks and projects should/may be used to complement and demonstrate integration of competency.
Critical aspects for assessment and evidence required to demonstrate competency in this unit
Assessors must be satisfied that the candidate can competently and consistently perform all elements of the unit as specified by the criteria, including required knowledge, and be capable of applying the competency in new and different situations and contexts.
Context of and specific resources for assessment
This unit may be assessed on the job, off the job or a combination of both on and off the job. Where assessment occurs off the job, that is the candidate is not in productive work, then an appropriate simulation must be used where the range of conditions reflects realistic workplace situations. The competencies covered by this unit would be demonstrated by an individual working alone or as part of a team. The assessment environment should not disadvantage the candidate.
This unit could be assessed in conjunction with any other units addressing the safety, quality, communication, materials handling, recording and reporting associated with applying mathematical concepts to engineering applications, or other units requiring the exercise of the skills and knowledge covered by this unit.
Method of assessment
Assessors should gather a range of evidence that is valid, sufficient, current and authentic. Evidence can be gathered through a variety of ways including direct observation, supervisor's reports, project work, samples and questioning. Questioning techniques should not require language, literacy and numeracy skills beyond those required in this unit of competency. The candidate must have access to all tools, equipment, materials and documentation required. The candidate must be permitted to refer to any relevant workplace procedures, product and manufacturing specifications, codes, standards, manuals and reference materials.
Guidance information for assessment
The evidence guide provides advice on assessment and must be read in conjunction with the performance criteria, required skills and knowledge, range statement and the Assessment Guidelines for the Training Package.
Overview of assessment
A person who demonstrates competency in this unit must be able to apply mathematical skills and knowledge to simple engineering applications. Evidence from tasks and projects should/may be used to complement and demonstrate integration of competency.
Critical aspects for assessment and evidence required to demonstrate competency in this unit
Assessors must be satisfied that the candidate can competently and consistently perform all elements of the unit as specified by the criteria, including required knowledge, and be capable of applying the competency in new and different situations and contexts.
Context of and specific resources for assessment
This unit may be assessed on the job, off the job or a combination of both on and off the job. Where assessment occurs off the job, that is the candidate is not in productive work, then an appropriate simulation must be used where the range of conditions reflects realistic workplace situations. The competencies covered by this unit would be demonstrated by an individual working alone or as part of a team. The assessment environment should not disadvantage the candidate.
This unit could be assessed in conjunction with any other units addressing the safety, quality, communication, materials handling, recording and reporting associated with applying mathematical concepts to engineering applications, or other units requiring the exercise of the skills and knowledge covered by this unit.
Method of assessment
Assessors should gather a range of evidence that is valid, sufficient, current and authentic. Evidence can be gathered through a variety of ways including direct observation, supervisor's reports, project work, samples and questioning. Questioning techniques should not require language, literacy and numeracy skills beyond those required in this unit of competency. The candidate must have access to all tools, equipment, materials and documentation required. The candidate must be permitted to refer to any relevant workplace procedures, product and manufacturing specifications, codes, standards, manuals and reference materials.
Guidance information for assessment
Replaced By
| State Code | National Code | Title | Type |
|---|---|---|---|
| OEX19 | MEM30012 | Apply mathematical techniques in a manufacturing engineering or related environment | Unit of competency |