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. 
SOUTH AFRICAN QUALIFICATIONS AUTHORITY 
REGISTERED UNIT STANDARD THAT HAS PASSED THE END DATE: 
Demonstrate understanding of real and imaginary numbers and real number systems 
SAQA US ID  UNIT STANDARD TITLE  
14106  Demonstrate understanding of real and imaginary numbers and real number systems  
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  PRE2009 NQF LEVEL  NQF LEVEL  CREDITS 
Undefined  RegularFundamental  Level 3  NQF Level 03  2 
REGISTRATION STATUS  REGISTRATION START DATE  REGISTRATION END DATE  SAQA DECISION NUMBER  
Passed the End Date  Status was "Reregistered" 
20031203  20061203  SAQA 1351/03  
LAST DATE FOR ENROLMENT  LAST DATE FOR ACHIEVEMENT  
20071203  20101203 
In all of the tables in this document, both the pre2009 NQF Level and the NQF Level is shown. In the text (purpose statements, qualification rules, etc), any references to NQF Levels are to the pre2009 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: 
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 2. 
UNIT STANDARD RANGE 
This unit standard covers:
Operations on complex numbers are excluded from this unit standard More detailed range statements are provided for specific outcomes and assessment criteria as needed. 
Specific Outcomes and Assessment Criteria: 
SPECIFIC OUTCOME 1 
Use and analyse computational tools and strategies, and make estimates and approximations. 
OUTCOME RANGE 
This outcome includes the need to:

ASSESSMENT CRITERIA 
ASSESSMENT CRITERION 1 
1. Computational tools are used efficiently and correctly and solutions obtained are verified in terms of the context or problem. 
ASSESSMENT CRITERION 2 
2. Algorithms are executed appropriately in calculations. 
ASSESSMENT CRITERION 3 
3. Solutions involving irrational numbers are reported or recorded to degrees of accuracy appropriate to the problem. 
ASSESSMENT CRITERION 4 
4. Measurements are reported or recorded in accordance with the degree of accuracy of the instrument used. The effect of measurement error on the final values calculated is reflected through the use of simple methods. 
ASSESSMENT CRITERION 5 
5. Estimates and approximations are used appropriately in terms of the situation and distinctions are made between the appropriate uses of estimates versus approximations. 
ASSESSMENT CRITERION RANGE 
Technological and nontechnological settings. 
ASSESSMENT CRITERION 6 
6. Approximate solutions to equations are justified in terms of the use of the approximation and the context where applicable. 
ASSESSMENT CRITERION 7 
7. The roles and limitations of particular algorithms are identified in terms of efficiency and the complexity of the algebraic formulation. 
ASSESSMENT CRITERION 8 
8. The viability of selected algorithms is verified and justified in terms of appropriateness to context and efficiency. 
SPECIFIC OUTCOME 2 
Demonstrate understanding of numbers and relationships among numbers and number systems. 
OUTCOME NOTES 
Demonstrate understanding of numbers and relationships among numbers and number systems, and represent numbers in different ways 
OUTCOME RANGE 
ASSESSMENT CRITERIA 
ASSESSMENT CRITERION 1 
1. Notation for expressing numbers is consistent with mathematical conventions. 
ASSESSMENT CRITERION RANGE 
Real and imaginary numbers and absolute value notation. 
ASSESSMENT CRITERION 2 
2. Methods of calculation and approximation are appropriate to the problem type. 
ASSESSMENT CRITERION 3 
3. Imaginary numbers are represented as the square root of negative numbers as appropriate to the context. 
ASSESSMENT CRITERION 4 
4. Calculations involving surds are correct and reported or recorded in simplified surd form. 
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 re 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.

Critical Crossfield Outcomes (CCFO): 
UNIT STANDARD CCFO IDENTIFYING 
Use mathematics to analyse, describe and represent realistic and abstract situations and to solve problems. 
UNIT STANDARD CCFO COLLECTING 
Collect, analyse, organise and critically evaluate information:
Gather, organise, evaluate and interpret numerical information. 
UNIT STANDARD CCFO COMMUNICATING 
Communicate effectively:
Use everyday language and mathematical language to describe relationships, processes and problem solving methods 
QUALIFICATIONS UTILISING THIS UNIT STANDARD: 
ID  QUALIFICATION TITLE  PRE2009 NQF LEVEL  NQF LEVEL  STATUS  END DATE  PRIMARY OR DELEGATED QA FUNCTIONARY  
Fundamental  57879  National Certificate: Manufacturing of Surface Coatings  Level 3  NQF Level 03  Reregistered  20230630  CHIETA 
Elective  48963  National Certificate: AirConditioning, Refrigeration and Ventilation  Level 3  NQF Level 03  Passed the End Date  Status was "Reregistered" 
20090312  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.  IFIHLILE TRAINING ACADEMY GAUTENG (PTY) LTD (Halfway House)(TP) 
2.  Kromco (Pty) Limited 
3.  LUCKY STAR 
4.  Mobile Agri Skills Development and Training NPC 
5.  SUMMERPRIDE FOODS PTY LTD 
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. 