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What is Application of Number?

Photo: Student in background, Ruler in focus in foreground - Blackpool and the Fylde College

 

 

 

 

 

 

Structure and content of the qualification
The outline structure of Application of Number is on pages 8&9 of the QCA Guidance

The emphasis is on the application of number, but the standards also place importance on process skills. The list below shows some of the skills required in the specifications (although some of these skills are not appropriate for the lower levels).

Identifying and introducing the task

  • Explaining approaches to the task
  • Looking for alternative approaches
  • Selecting appropriate calculations
  • Estimating
  • Carrying out specific calculations
  • Showing method
  • Working to appropriate levels of accuracy
  • Checking
  • Selecting method of presentation
  • Presenting findings
  • Interpreting results
  • Justifying decisions
  • Reviewing how the purpose has been met

It is not just the 'doing' that is important here; students are also expected to be able to plan what they are going to do, justify their approach, describe what they have done, explain why they have done it, and then check, interpret, justify and review the results. For students to be successful in this, they really do need to have a good understanding of number.

For more information see

Structure and content of the qualification

There are four levels. Level 1 covers the general mathematical skills that might be needed for a student studying for a Foundation GNVQ. It equates to the mathematical skills contained in the National Curriculum Levels 4 and 5. At the other end of the spectrum, Application of Number Level 4 covers the skills that might be needed for a student who is studying for a qualification at Level 4 such as HND or a degree.

Components

Each unit is split into three components. Broadly they can be described as follows:

  • obtaining and interpreting information, and planning
  • carrying out calculations
  • presenting and interpreting results.

These components are intended to be seen as a coherent sequence of stages in any numerical investigation. This is the requirement behind the portfolio requirement, at Levels 2, 3 and 4, for a substantial activity that covers all three components.

Assessment

The assessment is in two parts.

There is a test, which is externally set and marked, covering the underpinning skills. The questions are not linked to any particular vocational area or subject but are usually set in an everyday context.

There is also a portfolio. This will usually comprise one or two assignments (although there may be more). The assignment work should be set in a context that is relevant to the students course, work or life. Ideally these pieces of work should be naturally occurring: for example, one might be a Geography AS assignment or perhaps a health and safety at work assignment that formed part of the student's work experience).

View assessment requirements.
View differentiation and progression between levels.

As with all key skills, progression up through the levels of Application of Number is related to three main strands. As students move up through the levels, they are expected to:

  • draw on more complex and a wider range of techniques
  • take a more active role in the planning process
  • justify the decisions taken and the methods used.

You will need to identify exactly which skills your students will need to develop. This will depend on the level that they are working towards. For example Level 2 students will need to be able to construct pie charts, whilst a Level 1 student will not.

Links

More detailed information, including additional guidance and amplification of the key skill qualification standards and guidance (QCA/04/1272) are available from the QCA Website.

 


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