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Elements and Performance Criteria

  1. Identify computational requirements
  2. Select appropriate mathematical method
  3. Perform computation
  4. Verify and present results

Required Skills

Required skills

conversion using unity brackets

expand brackets in equations

factor quadratics

simplify algebraic fractions

solve one variable equations

solve linear equations algebraically and geometrically

solve two linear functions simultaneously algebraically and geometrically

solve up to three linear equations in three unknowns using inverse matrices and determinants

solve quadratic equations by factoring and quadratic formula

solve simultaneously linear and quadratic equations algebraically and geometrically

solve exponential and simple log equations using indices logs calculator and graphically

solve trigonometric equations

create read and interpret charts and graphs

algebraic manipulation of matrices

Requiredknowledge

trigonometry including trigonometric ratios degrees and radians

exponential and logarithmic functions including laws of indices and definition of the logarithm to any base

quadratic functions including graphs of quadratic functions represented by parabolas

matrices

coordinate geometry including d planes

geometry including pythagoras theorem angles triangles sine cosine and tangent ratios and rules and circles

algebra substitution

arithmetic including rational and irrational numbers and surds

Evidence Required

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

Critical aspects for assessment and evidence required to demonstrate competency in this unit

The candidate should demonstrate the ability to

perform mathematical computations for general engineering design and application purposes

apply mathematical concepts in to engineering problems to new situations and different contexts

Context of and specific resources for assessment

Access to the workplace and resources including

documentation that should normally be available in a water industry organisation

workplace specific equipment and technology

supervision and experienced team members to provide observations feedback and third party reports

enterprise operating procedures and work allocation

relevant codes standards and government regulations

Where applicable physical resources should include equipment modified for people with disabilities

Access must be provided to appropriate learning andor assessment support when required

Assessment processes and techniques must be culturally appropriate and appropriate to the language and literacy capacity of the candidate and the work being performed

Validity and sufficiency of evidence require that

competency will need to be demonstrated over a period of time reflecting the scope of the role and the practical requirements of the workplace

where the assessment is part of a structured learning experience the evidence collected must relate to a number of performances assessed at different points in time and separated by further learning and practice

a decision of competence should only be made when the assessor has complete confidence in the persons competence over time and in various contexts

all assessment that is part of a structured learning experience must include a combination of direct indirect and supplementary evidence

where assessment is for the purpose of recognition RCCRPL the evidence provided will need to be authenticated and show that it represents competency demonstrated over a period of time

assessment can be through simulated projectbased activity and must include evidence relating to each of the elements in this unit

In all cases where practical assessment is used it will be combined with targeted questioning to assess the underpinning knowledge Questioning will be undertaken in a manner appropriate to the skill levels of the candidate any cultural issues that may affect responses to the questions and reflecting the requirements of the competency and the work being performed


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.

Computational task must include:

arithmetic

algebra

geometry

co-ordinate geometry

matrices

quadratic functions

exponential and logarithmic functions

trigonometric functions

charts and graphs

Appropriate personnel may include:

supervisor

colleague

foreman

team leader

supervising engineer

teacher

Sources of computational data may include:

tables

graphs

Resources may include

computer

scientific calculator

engineering tables and graphs

regulations and codes of practices

Features of a scientific calculator may include:

arithmetic functions

trigonometric functions

inverse trigonometric functions

exponentials and logarithmic functions

reciprocals

scientific number representation

engineering number representation

rectangular to polar conversions

Enterprise procedures may include:

the use of tools and equipment

instructions, including job sheets, cutting lists, plans, drawings and designs

reporting and communication

manufacturers' specifications and operational procedures