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SOUTH AFRICAN QUALIFICATIONS AUTHORITY 
REGISTERED UNIT STANDARD THAT HAS PASSED THE END DATE: 

Identify and work with simple forms of complex numbers 
SAQA US ID UNIT STANDARD TITLE
7455  Identify and work with simple forms of complex numbers 
ORIGINATOR
SGB Math Literacy, Math, Math Sciences L 2 -4 
PRIMARY OR DELEGATED QUALITY ASSURANCE FUNCTIONARY
-  
FIELD SUBFIELD
Field 10 - Physical, Mathematical, Computer and Life Sciences Mathematical Sciences 
ABET BAND UNIT STANDARD TYPE PRE-2009 NQF LEVEL NQF LEVEL CREDITS
Undefined  Regular-Fundamental  Level 3  NQF Level 03  1 
REGISTRATION STATUS REGISTRATION START DATE REGISTRATION END DATE SAQA DECISION NUMBER
Passed the End Date -
Status was "Reregistered" 		 2003-12-03  2006-12-03  SAQA 1351/03 
LAST DATE FOR ENROLMENT LAST DATE FOR ACHIEVEMENT
2007-12-03   2010-12-03  

In all of the tables in this document, both the pre-2009 NQF Level and the NQF Level is shown. In the text (purpose statements, qualification rules, etc), any references to NQF Levels are to the pre-2009 levels unless specifically stated otherwise.  

This unit standard does not replace any other unit standard and is not replaced by any other unit standard. 

PURPOSE OF THE UNIT STANDARD 
This unit standard will be useful to people who aim to achieve recognition at some level in Further Education and
Training or to meet the Fundamental requirement of a wide range of qualifications registered on the National
Qualifications Framework.

People credited with this unit standard are able to:

Carry out simple operations on complex numbers.
Use complex numbers and systems to make sense of and solve straightforward problems. 

LEARNING ASSUMED TO BE IN PLACE AND RECOGNITION OF PRIOR LEARNING 
The credit value is based on the assumption that people starting to learn towards this unit standard are competent in Mathematics and Communications at NQF level 3. 

UNIT STANDARD RANGE 
Range statements are provided for specific outcomes and assessment criteria as needed. 

Specific Outcomes and Assessment Criteria: 

SPECIFIC OUTCOME 1 
Carry out basic operations on complex numbers in straightforward cases. 
OUTCOME RANGE 
Arithmetic operations on complex numbers 

ASSESSMENT CRITERIA 

ASSESSMENT CRITERION 1 
1. Computational tools are used efficiently and correctly and solutions obtained are verified to be correct in terms of the context or problem. 
ASSESSMENT CRITERION NOTES 
2.1 Notation for expressing numbers and symbols is consistent with mathematical conventions.

2.2 Methods of calculation are appropriate to the problem types.

2.3 Complex numbers are represented in a form appropriate to the context.

2.4 Operations on various representations of complex numbers are consistent.

2.5 Methods used to make sense of and solve problems are efficient and solutions obtained are verified to be correct in terms of the context or problem. 
ASSESSMENT CRITERION RANGE 
Range: Indicate non-real number solutions to equations.
 

ASSESSMENT CRITERION 2 
2. Algorithms are executed appropriately in calculations. 

ASSESSMENT CRITERION 3 
3. Operations on various representations of complex numbers are consistent. 

ASSESSMENT CRITERION 4 
4. Notation for expressing numbers and symbols is consistent with mathematical conventions. 

SPECIFIC OUTCOME 2 
Use complex numbers and systems to make sense of and solve straightforward problems 
OUTCOME RANGE 
Indicate non-real number solutions to equations. 

ASSESSMENT CRITERIA 

ASSESSMENT CRITERION 1 
1. Notation for expressing numbers and symbols is consistent with mathematical conventions. 

ASSESSMENT CRITERION 2 
2. Methods of calculation are appropriate to the problem types. 

ASSESSMENT CRITERION 3 
3. Complex numbers are represented in a form appropriate to the context. 

ASSESSMENT CRITERION 4 
4. Operations on various representations of complex numbers are consistent. 

ASSESSMENT CRITERION 5 
5. Methods used to make sense of and solve problems are efficient and solutions obtained are verified to be correct in terms of the context or problem. 


UNIT STANDARD ACCREDITATION AND MODERATION OPTIONS 
Providers of learning towards this unit standard will need to meet the accreditation requirements of the GENFETQA.

Moderation Option:
The moderation requirements of the GENFETQA must be met in order to award credit to learners for this unit standard. 

UNIT STANDARD ESSENTIAL EMBEDDED KNOWLEDGE 
The following essential embedded knowledge will be assessed through assessment of the specific outcomes in terms of the stipulated assessment criteria. Candidates are unlikely to achieve all the specific outcomes, to the standards described in the assessment criteria, without knowledge of the listed embedded knowledge. This means that the possession or lack of the knowledge can be inferred directly from the quality of the candidate`s performance against the standards.
  • Number systems and real and complex numbers 
    		•


    Critical Cross-field Outcomes (CCFO): 

    UNIT STANDARD CCFO IDENTIFYING 
  • Identify and solve problems using critical and creative thinking:
    Solving a variety of numerical problems involving complex numbers
  • Use mathematics:
    Use mathematics to analyse, describe and represent situations and to solve problems. 
    		•

    UNIT STANDARD CCFO COLLECTING 
  • Collect, analyse, organise and critically evaluate information:
    Gather, organise, evaluate and interpret information to assist in problem solving. 
    		•

    UNIT STANDARD CCFO COMMUNICATING 
  • Communicate effectively:
    Use everyday language and mathematical language to describe relationships, processes and problem solving methods. 
    		•

    UNIT STANDARD ASSESSOR CRITERIA 
    Assessors should keep the following general principles in mind when designing and conducting assessments against this unit standard:
  • Focus the assessment activities on gathering evidence in terms of the main outcome expressed in the title to ensure assessment is integrated rather than fragmented. Remember we want to declare the person competent in terms of the title. Where assessment at title level is unmanageable, then focus assessment around each specific outcome, or groups of specific outcomes.
  • Make sure evidence is gathered across the entire range, wherever it applies. Assessment activities should be as close to the real performance as possible, and where simulations or role-plays are used, there should be supporting evidence to show the candidate is able to perform in the real situation.
  • Do not focus the assessment activities on each assessment criterion. Rather make sure the assessment activities focus on outcomes and are sufficient to enable evidence to be gathered around all the assessment criteria.
  • The assessment criteria provide the specifications against which assessment judgements should be made. In most cases, knowledge can be inferred from the quality of the performances, but in other cases, knowledge and understanding will have to be tested through questioning techniques.
    Where this is required, there will be assessment criteria to specify the standard required.
  • The task of the assessor is to gather sufficient evidence, of the prescribed type and quality, as specified in this unit standard, that the candidate can achieve the outcomes again and again and again. This means assessors will have to judge how many repeat performances are required before they believe the performance is reproducible.
  • All assessments should be conducted in line with the following well documented principles of assessment: appropriateness, fairness, manageability, integration into work or learning, validity, direct, authentic, sufficient, systematic, open and consistent. 
    		•

    QUALIFICATIONS UTILISING THIS UNIT STANDARD: 
      ID QUALIFICATION TITLE PRE-2009 NQF LEVEL NQF LEVEL STATUS END DATE PRIMARY OR DELEGATED QA FUNCTIONARY
    Elective  48963   National Certificate: Air-Conditioning, Refrigeration and Ventilation  Level 3  NQF Level 03  Passed the End Date -
    Status was "Reregistered"     		 2009-03-12  Was MERSETA until Last Date for Achievement 


    PROVIDERS CURRENTLY ACCREDITED TO OFFER THIS UNIT STANDARD: 
    This information shows the current accreditations (i.e. those not past their accreditation end dates), and is the most complete record available to SAQA as of today. Some Primary or Delegated Quality Assurance Functionaries have a lag in their recording systems for provider accreditation, in turn leading to a lag in notifying SAQA of all the providers that they have accredited to offer qualifications and unit standards, as well as any extensions to accreditation end dates. The relevant Primary or Delegated Quality Assurance Functionary should be notified if a record appears to be missing from here.
     
    1. Colors Packhouse (Pty) Ltd 
    2. Hi-Veld Fruit Packers (Pty) Ltd 
    3. In House Media Instruction 
    4. Kromco (Pty) Limited 
    5. Mobile Agri Skills Development and Training NPC 


    All qualifications and part qualifications registered on the National Qualifications Framework are public property. Thus the only payment that can be made for them is for service and reproduction. It is illegal to sell this material for profit. If the material is reproduced or quoted, the South African Qualifications Authority (SAQA) should be acknowledged as the source.