Assessor Resource

FSKNUM39
Use introductory calculus for work

Assessment tool

Version 1.0
Issue Date: April 2024


This unit describes the skills and knowledge to use introductory concepts of calculus.

This unit applies to individuals who need numeracy skills at Australian Core Skills Framework (ACSF) level 5 to undertake a vocational training pathway or workplace tasks.

This unit is designed for integration and contextualisation with vocational units to support achievement of vocational competency.

No licensing, legislative or certification requirements apply to this unit at the time of publication.

You may want to include more information here about the target group and the purpose of the assessments (eg formative, summative, recognition)



Evidence Required

List the assessment methods to be used and the context and resources required for assessment. Copy and paste the relevant sections from the evidence guide below and then re-write these in plain English.

Element

Performance Criteria

Elements describe the essential outcomes.

Performance criteria describe the performance needed to demonstrate achievement of the element.

1. Demonstrate knowledge of features of graphs of functions

1.1 Identify differences between functions and relations

1.2 Describe the domain and range of a function

1.3 Evaluate functions

1.4 Solve simple equations of the form f(x) = 0

1.5 Sketch graphs of functions and identify key features

2. Calculate limits and find simple derivatives

2.1 Find limits

2.2 Use the standard definition of the derivative of a function

2.3 Use first principles to differentiate simple polynomial functions

2.4 Differentiate simple polynomial functions and use correct notation

2.5 Interpret the gradient at a given point on the graph of a function

Evidence of the ability to:

solve equations

calculate limits

use first principles to differentiate simple functions

differentiate simple polynomial functions.

Note: Where a specific volume and/or frequency is not specified, evidence must be provided at least once.

Evidence of the following knowledge must be demonstrated:

functions and relations

domain and range.

Assessment texts and tasks reflect those typically found in the workplace.

Individuals can access a broad range of support resources.

Culturally appropriate processes and techniques suited to the language, literacy and numeracy capacity of individuals and the work being performed must be used.

Reasonable adjustments can be made to ensure equity in assessment for people with disabilities.

Assessors must satisfy NVR/AQTF assessor requirements, have a sound knowledge of the ACSF and have demonstrable expertise in the vocational contextualisation and assessment of the core skill - numeracy.


Submission Requirements

List each assessment task's title, type (eg project, observation/demonstration, essay, assingnment, checklist) and due date here

Assessment task 1: [title]      Due date:

(add new lines for each of the assessment tasks)


Assessment Tasks

Copy and paste from the following data to produce each assessment task. Write these in plain English and spell out how, when and where the task is to be carried out, under what conditions, and what resources are needed. Include guidelines about how well the candidate has to perform a task for it to be judged satisfactory.

Element

Performance Criteria

Elements describe the essential outcomes.

Performance criteria describe the performance needed to demonstrate achievement of the element.

1. Demonstrate knowledge of features of graphs of functions

1.1 Identify differences between functions and relations

1.2 Describe the domain and range of a function

1.3 Evaluate functions

1.4 Solve simple equations of the form f(x) = 0

1.5 Sketch graphs of functions and identify key features

2. Calculate limits and find simple derivatives

2.1 Find limits

2.2 Use the standard definition of the derivative of a function

2.3 Use first principles to differentiate simple polynomial functions

2.4 Differentiate simple polynomial functions and use correct notation

2.5 Interpret the gradient at a given point on the graph of a function

Evidence of the ability to:

solve equations

calculate limits

use first principles to differentiate simple functions

differentiate simple polynomial functions.

Note: Where a specific volume and/or frequency is not specified, evidence must be provided at least once.

Evidence of the following knowledge must be demonstrated:

functions and relations

domain and range.

Assessment texts and tasks reflect those typically found in the workplace.

Individuals can access a broad range of support resources.

Culturally appropriate processes and techniques suited to the language, literacy and numeracy capacity of individuals and the work being performed must be used.

Reasonable adjustments can be made to ensure equity in assessment for people with disabilities.

Assessors must satisfy NVR/AQTF assessor requirements, have a sound knowledge of the ACSF and have demonstrable expertise in the vocational contextualisation and assessment of the core skill - numeracy.

Copy and paste from the following performance criteria to create an observation checklist for each task. When you have finished writing your assessment tool every one of these must have been addressed, preferably several times in a variety of contexts. To ensure this occurs download the assessment matrix for the unit; enter each assessment task as a column header and place check marks against each performance criteria that task addresses.

Observation Checklist

Tasks to be observed according to workplace/college/TAFE policy and procedures, relevant legislation and Codes of Practice Yes No Comments/feedback
Identify differences between functions and relations 
Describe the domain and range of a function 
Evaluate functions 
Solve simple equations of the form f(x) = 0 
Sketch graphs of functions and identify key features 
Find limits 
Use the standard definition of the derivative of a function 
Use first principles to differentiate simple polynomial functions 
Differentiate simple polynomial functions and use correct notation 
Interpret the gradient at a given point on the graph of a function 

Forms

Assessment Cover Sheet

FSKNUM39 - Use introductory calculus for work
Assessment task 1: [title]

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Assessment Record Sheet

FSKNUM39 - Use introductory calculus for work

Student name:

Student ID:

Assessment task 1: [title] Result: Competent Not yet competent

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Feedback to student:

 

 

 

 

 

 

 

 

Overall assessment result: Competent Not yet competent

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Signature:

Date:

Student signature:

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