FSKNUM039 — Use introductory calculus for work

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What an assessment for FSKNUM039 must cover

29 assessable components: 3 elements (11 performance criteria), 8 performance evidence and 9 knowledge evidence requirements, plus 1 foundation skills. An audit-defensible tool maps every question and task back to these — that mapping is the coverage matrix Auditori generates alongside the assessment.

Elements & performance criteria

1 Extract and analyse information relevant to introductory calculus

1.1Extract highly embedded mathematical information relevant to introductory calculus from a broad range of highly complex workplace texts and tasks
1.2Incorporate information from other sources to inform and support analysis of the extracted information, where necessary
1.3Analyse and synthesise information relevant to introductory calculus required to complete workplace task

2 Calculate limits and find simple derivatives for workplace tasks

2.1Select method of solution from an expanded range of highly developed mathematical problem solving strategies and processes to complete workplace task
2.2Estimate outcome of analysis related to using specialised mathematical problem solving strategies and application of introductory calculus based analysis to complete workplace task
2.3Evaluate, solve and sketch functions relevant to workplace
2.4Find limits relevant to workplace
2.5Differentiate simple polynomial functions and use correct notation
2.6Check outcomes and critically review mathematics used and real-world implications of results using developed estimation and evaluation techniques

3 Communicate information

3.1Use formal and specialised written mathematical representation and symbolism to document, interpret and communicate mathematical thinking, problem solving process, outcomes and implications
3.2Use specialised mathematical and general language to discuss, explain and interpret the mathematical processes, results and implications

Performance evidence

perform a broad range of multi-step mathematical problem solving processes using introductory calculus to complete a workplace task, including:
sketching graphs of linear and quadratic functions and solving equations of the form f(x) = 0
applying and calculating limits
applying and calculating the derivative of polynomial functions
interpreting the gradient at a given point on the graph of a polynomial function
make estimations to check problem solving outcomes and determine appropriate accuracy required for above workplace task
critically review mathematical processes and outcomes obtained, and evaluate real-world implications
In the course of the above the candidate must demonstrate use and application of relevant technology.

Knowledge evidence

purpose and application of basic calculus to workplace contexts
key features of, and differences between numbers, functions and relations and their properties
key features of linear and quadratic functions
purpose, application and calculation of the derivative of polynomial functions
problem solving techniques to analyse results
purpose and use of relevant technology, such as a CAS calculator, spreadsheets or other mathematical or workplace software
implications of calculations and results for workplace tasks
developed estimation and evaluation processes
specialised and formal mathematical language and symbolism relevant to workplace task.

Foundation skills

Technology: Uses a scientific calculator and/or graphing software

Unit content sourced from training.gov.au — © Commonwealth of Australia, licensed under CC BY 4.0. Auditori is not affiliated with the Department of Employment and Workplace Relations.

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Questions about assessing FSKNUM039

What does an assessment tool for FSKNUM039 need to cover?

To satisfy the Principles of Assessment and Rules of Evidence, an assessment for FSKNUM039 needs to address all 29 unit components: 3 elements with 11 performance criteria, 8 performance evidence requirements, 9 knowledge evidence requirements, and the foundation skills. A coverage matrix mapping each question and task to these components is what an auditor looks for.

How does Auditori generate an assessment tool for FSKNUM039?

Auditori pulls the current release of FSKNUM039 from training.gov.au and generates a complete package: candidate assessment, assessor guide with model answers and observation criteria, and a coverage matrix mapping every component. A suitably qualified person then reviews and approves the draft in a built-in workflow — consistent with ASQA's guidance on AI use in VET — before export as branded PDF and editable Word.

Is the first assessment tool really free?

Yes. Every new account includes one free credit — enough to generate the complete assessment tool for FSKNUM039 — with no card and no subscription required. After that it's pay-as-you-go per unit.

Can I check my existing FSKNUM039 assessment instead of generating a new one?

Yes — upload your existing assessment or learner guide and Auditori maps it against every element, performance criterion, PE and KE of FSKNUM039, showing exactly what's covered and what's missing. Mapping costs a quarter of a credit.

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