This unit applies in manufacturing, engineering or related environments. It includes the application of the four rules of algebraic expressions, extracting information from drawings, diagrams, graphs and charts and producing simple charts and graphs.

Data may be derived from readings taken or may be computer generated. Applications can include computations associated with pressure, volume, temperature, heat, speed, power, elasticity, density, mass, force etc.

Calculations may be performed using pen and paper or on a calculator.

Band: A

Unit Weight: 3

ELEMENT

PERFORMANCE CRITERIA

1. Determine work requirement

1.1. Required outcomes are established from job instructions.

1.2. Data is obtained from relevant sources and interpreted correctly.

1.3. Required calculation method is determined to suit the application, including selection of relevant arithmetic operations and/or formulae.

1.4. Expected results are estimated, including rounding off, as appropriate.

2. Perform calculations

2.1. Calculation method is applied correctly.

2.2. Correct answer is obtained.

2.3. Answer is checked against estimation.

3. Produce charts and graphs from given information

3.1. Data is transposed accurately to produce charts or graphs.

3.2. Charts or graphs accurately reflect data on which they are based.

Required skills

Look for evidence that confirms skills in:

performing calculations involving whole numbers using all four basic rules

performing calculations involving length, perimeter, area and volume

checking calculated answers for accuracy

rounding off estimated answers

expressing information presented in fractional or decimal format as a percentage

selecting appropriate formulae for the given application

substituting the correct values for each term in the relevant formulae

using appropriate mathematical operations

performing calculations involving ratios or proportions

determining required information from appropriate charts or graphs

producing simple charts or graphs from given information or observations made

selecting appropriate scales and using them in the production of charts and graphs

marking appropriate limits clearly on the graph or chart

reading, interpreting and following information on written job instructions, specifications, standard operating procedures, charts, lists, drawings and other applicable reference documents

planning and sequencing operations

checking and clarifying task related information

checking for conformance to specifications

undertaking numerical operations, geometry and calculations/formulae within the scope of this unit

Required knowledge

Look for evidence that confirms knowledge of:

formula applicable to the determination of perimeter, area and volume of simple geometric shapes

techniques for estimating approximate answers

reasons for using dimensions with the same units when calculating length, perimeter, area and volume

concepts of perimeter, area and volume

procedures for rounding off figures when estimating approximate answers

mixed numbers, decimals, fractions and whole numbers

concept of percentage

procedures to be followed in converting a decimal to a percentage

procedures for carrying out calculations involving fractions and using each of the four basic rules

procedures to be followed on converting a fraction to a percentage

sources of appropriate formulae

reasons for ensuring that the units of each term are consistent with the formulae selected

procedures for converting given units to those required for use in formulae

concepts of ratio and proportion

given ratios and proportions can be expressed in terms of whole numbers, fractions and decimal fractions

scales applicable to the axes of the graphs or charts

three types of charts and/or graphs used in the individual's field of work

where appropriate, upper and lower limits of acceptability applicable to data entered on a graph or chart

where appropriate, the trends indicated by the slope or gradient of a graph

where appropriate, the action to be taken when given trends occur or set limits are approached on graphs or charts

procedures for drawing 'lines of best fit'

the trends indicated by the graphs or charts drawn

hazards and control measures associated with performing computations, including housekeeping

safe work practices and procedures

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 perform computations.

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 performing computations 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 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.

Relevant sources

Charts, graphs, diagrams, measurement data, reference manuals and specifications

Applications can include computations associated with pressure, volume, temperature, heat, speed, power, elasticity, density, mass, force etc.

Arithmetic operations

Application of subtraction, addition, multiplication and division

Manipulation of decimals, fractions and mixed numbers and whole numbers

Determining of percentages

Performing of algebraic expressions

Calculation of proportions and ratios

Charts and graphs

Simple histograms, control charts, pie charts etc.

Unit sector

Measurement

This unit contains employability skills.