FSKNUM035 — Use algebraic and graphical techniques to analyse mathematical problems for work

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What an assessment for FSKNUM035 must cover

22 assessable components: 3 elements (10 performance criteria), 3 performance evidence and 9 knowledge evidence requirements. 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 mathematical information

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

2 Analyse and solve equations 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 processes to complete workplace task
2.3Solve workplace problems using graphical methods to find solutions to linear and non-linear equations
2.4Solve workplace problems using algebraic processes to find solutions to linear and non-linear equations
2.5Check outcomes and critically review mathematics used and real-world implications of results using developed estimation and evaluation techniques

3 Communicate mathematical 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 algebraic and graphical techniques to complete a workplace task, including at least two of the following: solving linear equations using algebraic processes and graphical techniques; solving quadratic equations using the quadratic formula and factorising methods; solving simultaneous equations using algebraic and graphical solutions
make estimations to check problem solving outcomes and determine appropriate accuracy required for above workplace task
critically review above mathematical processes and outcomes obtained, and evaluate real-world implications

Knowledge evidence

range of methods to expand and factorise algebraic expressions and solve equations, including the application of the quadratic formula
techniques to draw Cartesian graphs of relevant linear and non-linear equations
key features of linear and non-linear equations and their graphs including the role of variables and constants
real-life situations represented by parabolas, hyperbolas and exponential graphs
real-life situations represented by relevant simultaneous equations
purpose and use of relevant technology such as CAS calculator, spreadsheets or other mathematical or workplace software
developed estimation and assessment processes
implications of calculations and results for workplace tasks
specialised and formal mathematical written language and symbolism relevant to workplace task

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 FSKNUM035

What does an assessment tool for FSKNUM035 need to cover?

To satisfy the Principles of Assessment and Rules of Evidence, an assessment for FSKNUM035 needs to address all 22 unit components: 3 elements with 10 performance criteria, 3 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 FSKNUM035?

Auditori pulls the current release of FSKNUM035 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 FSKNUM035 — with no card and no subscription required. After that it's pay-as-you-go per unit.

Can I check my existing FSKNUM035 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 FSKNUM035, showing exactly what's covered and what's missing. Mapping costs a quarter of a credit.

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