- MEM30012A - Apply mathematical techniques in a manufacturing engineering or related environment
Assessor Resource
MEM30012A
Apply mathematical techniques in a manufacturing engineering or related environment
Assessment tool
Version 1.0
Issue Date: June 2024
This unit applies to technician level work that requires basic algebraic, trigonometric and statistical knowledge and skill.
Band: 0
Unit Weight: 4
This unit covers applies the concepts of mathematics to appropriate and simple engineering situations within the individual's area of engineering expertise.
You may want to include more information here about the target group and the purpose of the assessments (eg formative, summative, recognition)
Employability Skills
This unit contains employability skills.
Evidence Required
List the assessment methods to be used and the context and resources required for assessment. Copy and paste the relevant sections from the evidence guide below and then re-write these in plain English.
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 |
Submission Requirements
List each assessment task's title, type (eg project, observation/demonstration, essay, assingnment, checklist) and due date here
Assessment task 1: [title] Due date:
(add new lines for each of the assessment tasks)
Assessment Tasks
Copy and paste from the following data to produce each assessment task. Write these in plain English and spell out how, when and where the task is to be carried out, under what conditions, and what resources are needed. Include guidelines about how well the candidate has to perform a task for it to be judged satisfactory.
Required skills |
Look for evidence that confirms skills in: using and applying mathematical formulas: logical thinking problem solving calculating applying statistics using computer numerical methods drawing graphs |
Required knowledge |
Look for evidence that confirms knowledge of: transposing and evaluating formulae polynomials straight line coordinate geometry introduction to indices introduction to trigonometry circular functions trigonometry of oblique triangles trigonometric identities introduction to functions and their graphs |
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 |
Copy and paste from the following performance criteria to create an observation checklist for each task. When you have finished writing your assessment tool every one of these must have been addressed, preferably several times in a variety of contexts. To ensure this occurs download the assessment matrix for the unit; enter each assessment task as a column header and place check marks against each performance criteria that task addresses.
Observation Checklist
Tasks to be observed according to workplace/college/TAFE policy and procedures, relevant legislation and Codes of Practice | Yes | No | Comments/feedback |
---|---|---|---|
Units of physical quantities are converted to facilitate engineering calculations. | |||
Calculations are performed to solve problems involving rational and irrational numbers. | |||
Scientific notation is used to represent numbers. | |||
Calculations are checked for reasonableness using estimating and approximating techniques. | |||
Algebraic expressions are manipulated using mathematical operations in their correct order. | |||
Angles expressed in degrees are correctly converted to radians and vice versa. | |||
The perimeter, area, length and angles of a range of two-dimensional figures are correctly calculated. | |||
The volume and surface area of complex figures are correctly calculated. | |||
Points identified in terms of cartesian coordinates can be converted to polar coordinates and vice versa. | |||
Basic trigonometry functions are used to calculate the lengths of the sides of right-angled triangles. | |||
Inverse trigonometry functions are used to determine angles in a right-angled triangle given the lengths of two sides. | |||
The sine rule is used to determine the lengths of the sides of acute and obtuse angled triangles given one side and two angles. | |||
The cosine rule is used to determine the lengths of the sides of acute and obtuse angled triangles given two sides and one angle. | |||
Linear functions are solved graphically and equations of straight lines are determined from the slope and one point, or two points. | |||
Two linear functions are solved simultaneously both algebraically and geometrically. | |||
The length and mid point of a line segment are determined. | |||
Quadratic equations are solved. | |||
Simultaneous linear and quadratic equations are solved. | |||
Mean, median and mode are calculated from given data. | |||
Standard deviation is calculated and interpreted employing graphical representation. |
Forms
Assessment Cover Sheet
MEM30012A - Apply mathematical techniques in a manufacturing engineering or related environment
Assessment task 1: [title]
Student name:
Student ID:
I declare that the assessment tasks submitted for this unit are my own work.
Student signature:
Result: Competent Not yet competent
Feedback to student
Assessor name:
Signature:
Date:
Assessment Record Sheet
MEM30012A - Apply mathematical techniques in a manufacturing engineering or related environment
Student name:
Student ID:
Assessment task 1: [title] Result: Competent Not yet competent
(add lines for each task)
Feedback to student:
Overall assessment result: Competent Not yet competent
Assessor name:
Signature:
Date:
Student signature:
Date: