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Evidence Guide: FSKNUM39 - Use introductory calculus for work

Student: __________________________________________________

Signature: _________________________________________________

Tips for gathering evidence to demonstrate your skills

The important thing to remember when gathering evidence is that the more evidence the better - that is, the more evidence you gather to demonstrate your skills, the more confident an assessor can be that you have learned the skills not just at one point in time, but are continuing to apply and develop those skills (as opposed to just learning for the test!). Furthermore, one piece of evidence that you collect will not usualy demonstrate all the required criteria for a unit of competency, whereas multiple overlapping pieces of evidence will usually do the trick!

From the Wiki University

 

FSKNUM39 - Use introductory calculus for work

What evidence can you provide to prove your understanding of each of the following citeria?

Demonstrate knowledge of features of graphs of functions

  1. Identify differences between functions and relations
  2. Describe the domain and range of a function
  3. Evaluate functions
  4. Solve simple equations of the form f(x) = 0
  5. Sketch graphs of functions and identify key features
Identify differences between functions and relations

Completed
Date:

Teacher:		 Evidence:

 

 

 

 

 

 

 

Describe the domain and range of a function

Completed
Date:

Teacher:		 Evidence:

 

 

 

 

 

 

 

Evaluate functions

Completed
Date:

Teacher:		 Evidence:

 

 

 

 

 

 

 

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

Completed
Date:

Teacher:		 Evidence:

 

 

 

 

 

 

 

Sketch graphs of functions and identify key features

Completed
Date:

Teacher:		 Evidence:

 

 

 

 

 

 

 

Calculate limits and find simple derivatives

  1. Find limits
  2. Use the standard definition of the derivative of a function
  3. Use first principles to differentiate simple polynomial functions
  4. Differentiate simple polynomial functions and use correct notation
  5. Interpret the gradient at a given point on the graph of a function
Find limits

Completed
Date:

Teacher:		 Evidence:

 

 

 

 

 

 

 

Use the standard definition of the derivative of a function

Completed
Date:

Teacher:		 Evidence:

 

 

 

 

 

 

 

Use first principles to differentiate simple polynomial functions

Completed
Date:

Teacher:		 Evidence:

 

 

 

 

 

 

 

Differentiate simple polynomial functions and use correct notation

Completed
Date:

Teacher:		 Evidence:

 

 

 

 

 

 

 

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

Completed
Date:

Teacher:		 Evidence:

 

 

 

 

 

 

 

Assessed

Teacher: ___________________________________ Date: _________

Signature: ________________________________________________

Comments:

 

 

 

 

 

 

 

 

Instructions to Assessors

Evidence Guide

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

Required Skills and Knowledge

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.