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Evidence Guide: FSKNUM35 - Use algebraic and graphical techniques to analyse mathematical problems 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

 

FSKNUM35 - Use algebraic and graphical techniques to analyse mathematical problems for work

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

Manipulate algebraic expressions

  1. Expand and simplify algebraic expressions and equations
  2. Factorise algebraic expressions
  3. Simplify algebraic fractions
Expand and simplify algebraic expressions and equations

Completed
Date:

Teacher:		 Evidence:

 

 

 

 

 

 

 

Factorise algebraic expressions

Completed
Date:

Teacher:		 Evidence:

 

 

 

 

 

 

 

Simplify algebraic fractions

Completed
Date:

Teacher:		 Evidence:

 

 

 

 

 

 

 

Draw graphs and interpret the real-life situations they represent

  1. Draw and describe Cartesian graphs of relevant linear and non-linear algebraic equations
  2. Identify key features of linear and non-linear graphs
  3. Describe the impact of adding a constant to an equation
  4. Explain the real-life situations represented by parabolas, hyperbolas and exponential graphs
Draw and describe Cartesian graphs of relevant linear and non-linear algebraic equations

Completed
Date:

Teacher:		 Evidence:

 

 

 

 

 

 

 

Identify key features of linear and non-linear graphs

Completed
Date:

Teacher:		 Evidence:

 

 

 

 

 

 

 

Describe the impact of adding a constant to an equation

Completed
Date:

Teacher:		 Evidence:

 

 

 

 

 

 

 

Explain the real-life situations represented by parabolas, hyperbolas and exponential graphs

Completed
Date:

Teacher:		 Evidence:

 

 

 

 

 

 

 

Solve a range of equations

  1. Find solutions to linear equations
  2. Solve quadratic equations
  3. Solve simultaneous equations
  4. Solve practical problems involving equations
Find solutions to linear equations

Completed
Date:

Teacher:		 Evidence:

 

 

 

 

 

 

 

Solve quadratic equations

Completed
Date:

Teacher:		 Evidence:

 

 

 

 

 

 

 

Solve simultaneous equations

Completed
Date:

Teacher:		 Evidence:

 

 

 

 

 

 

 

Solve practical problems involving equations

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. Manipulate algebraic expressions

1.1 Expand and simplify algebraic expressions and equations

1.2 Factorise algebraic expressions

1.3 Simplify algebraic fractions

2. Draw graphs and interpret the real-life situations they represent

2.1 Draw and describe Cartesian graphs of relevant linear and non-linear algebraic equations

2.2 Identify key features of linear and non-linear graphs

2.3 Describe the impact of adding a constant to an equation

2.4 Explain the real-life situations represented by parabolas, hyperbolas and exponential graphs

3. Solve a range of equations

3.1 Find solutions to linear equations

3.2 Solve quadratic equations

3.3 Solve simultaneous equations

3.4 Solve practical problems involving equations

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. Manipulate algebraic expressions

1.1 Expand and simplify algebraic expressions and equations

1.2 Factorise algebraic expressions

1.3 Simplify algebraic fractions

2. Draw graphs and interpret the real-life situations they represent

2.1 Draw and describe Cartesian graphs of relevant linear and non-linear algebraic equations

2.2 Identify key features of linear and non-linear graphs

2.3 Describe the impact of adding a constant to an equation

2.4 Explain the real-life situations represented by parabolas, hyperbolas and exponential graphs

3. Solve a range of equations

3.1 Find solutions to linear equations

3.2 Solve quadratic equations

3.3 Solve simultaneous equations

3.4 Solve practical problems involving equations

Evidence of the ability to:

manipulate and factorise algebraic expressions

draw graphs of relevant linear and non-linear equations

solve linear and quadratic equations

solve simultaneous equations.

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:

a range of methods of factorisation.