NTISthis.com

Evidence Guide: MEM30012A - Apply mathematical techniques in a manufacturing engineering or related environment

Student: __________________________________________________

Signature: _________________________________________________

Tips for gathering evidence to demonstrate your skills

The important thing to remember when gathering evidence is that the more evidence the better - that is, the more evidence you gather to demonstrate your skills, the more confident an assessor can be that you have learned the skills not just at one point in time, but are continuing to apply and develop those skills (as opposed to just learning for the test!). Furthermore, one piece of evidence that you collect will not usualy demonstrate all the required criteria for a unit of competency, whereas multiple overlapping pieces of evidence will usually do the trick!

From the Wiki University

 

MEM30012A - Apply mathematical techniques in a manufacturing engineering or related environment

What evidence can you provide to prove your understanding of each of the following citeria?

Use concepts of arithmetic in the solution of engineering problems

  1. Units of physical quantities are converted to facilitate engineering calculations.
  2. Calculations are performed to solve problems involving rational and irrational numbers.
  3. Scientific notation is used to represent numbers.
  4. Calculations are checked for reasonableness using estimating and approximating techniques.
Units of physical quantities are converted to facilitate engineering calculations.

Completed
Date:

Teacher:		 Evidence:

 

 

 

 

 

 

 

Calculations are performed to solve problems involving rational and irrational numbers.

Completed
Date:

Teacher:		 Evidence:

 

 

 

 

 

 

 

Scientific notation is used to represent numbers.

Completed
Date:

Teacher:		 Evidence:

 

 

 

 

 

 

 

Calculations are checked for reasonableness using estimating and approximating techniques.

Completed
Date:

Teacher:		 Evidence:

 

 

 

 

 

 

 

Solve engineering problems involving algebraic expressions with one independent variable

  1. Algebraic expressions are manipulated using mathematical operations in their correct order.
Algebraic expressions are manipulated using mathematical operations in their correct order.

Completed
Date:

Teacher:		 Evidence:

 

 

 

 

 

 

 

Use two-dimensional geometry to solve practical problems

  1. Angles expressed in degrees are correctly converted to radians and vice versa.
  2. The perimeter, area, length and angles of a range of two-dimensional figures are correctly calculated.
  3. The volume and surface area of complex figures are correctly calculated.
  4. Points identified in terms of cartesian coordinates can be converted to polar coordinates and vice versa.
Angles expressed in degrees are correctly converted to radians and vice versa.

Completed
Date:

Teacher:		 Evidence:

 

 

 

 

 

 

 

The perimeter, area, length and angles of a range of two-dimensional figures are correctly calculated.

Completed
Date:

Teacher:		 Evidence:

 

 

 

 

 

 

 

The volume and surface area of complex figures are correctly calculated.

Completed
Date:

Teacher:		 Evidence:

 

 

 

 

 

 

 

Points identified in terms of cartesian coordinates can be converted to polar coordinates and vice versa.

Completed
Date:

Teacher:		 Evidence:

 

 

 

 

 

 

 

Use trigonometry to solve practical problems

  1. Basic trigonometry functions are used to calculate the lengths of the sides of right-angled triangles.
  2. Inverse trigonometry functions are used to determine angles in a right-angled triangle given the lengths of two sides.
  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. The cosine rule is used to determine the lengths of the sides of acute and obtuse angled triangles given two sides and one angle.
Basic trigonometry functions are used to calculate the lengths of the sides of right-angled triangles.

Completed
Date:

Teacher:		 Evidence:

 

 

 

 

 

 

 

Inverse trigonometry functions are used to determine angles in a right-angled triangle given the lengths of two sides.

Completed
Date:

Teacher:		 Evidence:

 

 

 

 

 

 

 

The sine rule is used to determine the lengths of the sides of acute and obtuse angled triangles given one side and two angles.

Completed
Date:

Teacher:		 Evidence:

 

 

 

 

 

 

 

The cosine rule is used to determine the lengths of the sides of acute and obtuse angled triangles given two sides and one angle.

Completed
Date:

Teacher:		 Evidence:

 

 

 

 

 

 

 

Graph linear functions

  1. Linear functions are solved graphically and equations of straight lines are determined from the slope and one point, or two points.
  2. Two linear functions are solved simultaneously both algebraically and geometrically.
  3. The length and mid point of a line segment are determined.
Linear functions are solved graphically and equations of straight lines are determined from the slope and one point, or two points.

Completed
Date:

Teacher:		 Evidence:

 

 

 

 

 

 

 

Two linear functions are solved simultaneously both algebraically and geometrically.

Completed
Date:

Teacher:		 Evidence:

 

 

 

 

 

 

 

The length and mid point of a line segment are determined.

Completed
Date:

Teacher:		 Evidence:

 

 

 

 

 

 

 

Solve quadratic equations

  1. Quadratic equations are solved.
  2. Simultaneous linear and quadratic equations are solved.
Quadratic equations are solved.

Completed
Date:

Teacher:		 Evidence:

 

 

 

 

 

 

 

Simultaneous linear and quadratic equations are solved.

Completed
Date:

Teacher:		 Evidence:

 

 

 

 

 

 

 

Perform basic statistical calculations

  1. Mean, median and mode are calculated from given data.
  2. Standard deviation is calculated and interpreted employing graphical representation.
Mean, median and mode are calculated from given data.

Completed
Date:

Teacher:		 Evidence:

 

 

 

 

 

 

 

Standard deviation is calculated and interpreted employing graphical representation.

Completed
Date:

Teacher:		 Evidence:

 

 

 

 

 

 

 

Assessed

Teacher: ___________________________________ Date: _________

Signature: ________________________________________________

Comments:

 

 

 

 

 

 

 

 

Instructions to Assessors

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

Required Skills and Knowledge

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

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