This unit covers estimating approximate answers to arithmetical problems, carrying out basic calculations involving percentages and proportions, and determining simple ratios and averages. The unit includes producing and interpreting simple charts and graphs.

Unit details

Study level:
Vocational and further education (TAFE)
Unit code:


Assessment tasks will be designed to reinforce and extend knowledge and skill competence within set and controlled parameters in accordance with each unit's learning outcomes and performance criteria requirements, including the setting of work based practical application tasks designed to provide evidence of competence outcomes, within periodic and scheduled timelines. Students will be expected to demonstrate the following required skills: - 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, and; - undertaking numerical operations, geometry and calculations/formulae within the scope of this unit.Students will also be expected to demonstrate the following knowledge: - 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, and; - safe work practices and procedures.

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