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: 
Work with a wide range of patterns and inverses of functions and solve related problems 
SAQA US ID  UNIT STANDARD TITLE  
7470  Work with a wide range of patterns and inverses of functions and solve related problems  
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 4  NQF Level 04  6 
REGISTRATION STATUS  REGISTRATION START DATE  REGISTRATION END DATE  SAQA DECISION NUMBER  
Reregistered  20150701  20180630  SAQA 10105/14  
LAST DATE FOR ENROLMENT  LAST DATE FOR ACHIEVEMENT  
20190630  20220630 
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 3. 
UNIT STANDARD RANGE 
This unit standard includes the requirement to:
More detailed range statements are provided for specific outcomes and assessment criteria as needed. 
Specific Outcomes and Assessment Criteria: 
SPECIFIC OUTCOME 1 
Express and justify mathematical generalisations of situations. 
OUTCOME RANGE 
This outcome includes the requirement to:

ASSESSMENT CRITERIA 
ASSESSMENT CRITERION 1 
1. Generalisations are based on systematic investigations and adequate evidence. 
ASSESSMENT CRITERION NOTES 
4.1 Contextual problems are represented correctly and comprehensively.
4.2 Representations are analysed and manipulated efficiently in arriving at results. 4.3 Solutions are obtained through careful analysis and interpretation of the mathematical representation and solutions are reinterpreted correctly in terms of the problem context. 
ASSESSMENT CRITERION RANGE 
This outcome includes the requirement to:
Represent the problem mathematically using functions, systems of equations and/or inequalities. This could include using the constant speed equation to solve distance, time and speed problems. 
ASSESSMENT CRITERION 2 
2. Generalisations are expressed in symbolic form using functions appropriate to the situation. 
ASSESSMENT CRITERION 3 
3. Conjectures are supported by acceptable arguments and claims. 
ASSESSMENT CRITERION 4 
4. Generalisations that are not possible are supported by coherent reasoning. 
SPECIFIC OUTCOME 2 
Express mathematical functions and relationships. 
OUTCOME NOTES 
Express mathematical functions and relationships between variables in terms of numerical, graphical, verbal and symbolic approaches. 
OUTCOME RANGE 
This outcome includes the requirement to:

ASSESSMENT CRITERIA 
ASSESSMENT CRITERION 1 
1. The interchange of functions from one representation to another is fluent. 
ASSESSMENT CRITERION 2 
2. Symbolic computations in dealing with functions are accurate. 
ASSESSMENT CRITERION 3 
3. The key features of the graphs of functions and the effects of transformations on them are described and interpreted correctly. 
ASSESSMENT CRITERION 4 
4. Representations are expressed in an appropriate and integrated way and assist in the formulation and explanation of relationships as functions and relations embedded in contexts. 
SPECIFIC OUTCOME 3 
Analyse and represent mathematical situations and structures using symbolic forms. 
OUTCOME RANGE 
This outcome includes the requirement to:

ASSESSMENT CRITERIA 
ASSESSMENT CRITERION 1 
1. Situations are represented correctly and comprehensively. 
ASSESSMENT CRITERION 2 
2. Representations are analysed and manipulated efficiently in arriving at results. 
ASSESSMENT CRITERION 3 
3. Results are interpreted correctly in terms of the situation. 
SPECIFIC OUTCOME 4 
Use mathematical models to represent and deal with problems that arise in real and abstract contexts 
OUTCOME RANGE 
This outcome includes the requirement to:
This includes more general rates of change than in the study of motion such as in chemical reactions 
ASSESSMENT CRITERIA 
ASSESSMENT CRITERION 1 
1. Contextual problems are represented correctly and comprehensively. 
ASSESSMENT CRITERION 2 
2. Representations are analysed and manipulated efficiently in arriving at results. 
ASSESSMENT CRITERION 3 
3. Solutions are obtained through careful analysis and interpretation of the mathematical representation and solutions are reinterpreted correctly in terms of the problem context. 
ASSESSMENT CRITERION 4 
4. A variety of different situations that can be modelled by a particular type of function are identified. 
UNIT STANDARD ACCREDITATION AND MODERATION OPTIONS 
Accreditation Option: 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.

Critical Crossfield Outcomes (CCFO): 
UNIT STANDARD CCFO IDENTIFYING 
Solving a variety of problems based on patterns and functions Use mathematics to analyse, describe and represent realistic and abstract situations and to solve problems. 
UNIT STANDARD CCFO COLLECTING 
Gather, organise, evaluate and interpret information to compare and represent relationships and functions. 
UNIT STANDARD CCFO COMMUNICATING 
Use everyday language and mathematical language to describe relationships, processes and problem solving methods. 
REREGISTRATION HISTORY 
As per the SAQA Board decision/s at that time, this unit standard was Reregistered in 2012; 2015. 
QUALIFICATIONS UTILISING THIS UNIT STANDARD: 
ID  QUALIFICATION TITLE  PRE2009 NQF LEVEL  NQF LEVEL  STATUS  END DATE  PRIMARY OR DELEGATED QA FUNCTIONARY  
Fundamental  48978  Further Education and Training Certificate: Electrical Network Control  Level 4  NQF Level 04  Reregistered  20180630  EWSETA 
Fundamental  66370  Further Education and Training Certificate: Roof Truss Technology  Level 4  NQF Level 04  Passed the End Date  Status was "Reregistered" 
20150630  FPMSETA 
Fundamental  48399  Further Education and Training Certificate: Sugar Processing  Level 4  NQF Level 04  Reregistered  20180630  AgriSETA 
Fundamental  14854  National Certificate: Agric Sales and Services  Level 4  NQF Level 04  Reregistered  20180630  AgriSETA 
Fundamental  22868  National Certificate: Chemical Process Operations  Level 4  NQF Level 04  Passed the End Date  Status was "Reregistered" 
20051009  CHIETA 
Fundamental  21871  National Certificate: Clothing Manufacturing Technology  Level 4  Level TBA: Pre2009 was L4  Passed the End Date  Status was "Reregistered" 
20150630  FPMSETA 
Fundamental  22211  National Certificate: Footwear Technology  Level 4  Level TBA: Pre2009 was L4  Passed the End Date  Status was "Reregistered" 
20150630  FPMSETA 
Fundamental  23678  National Certificate: Fossil Power Plant Operation  Level 4  Level TBA: Pre2009 was L4  Reregistered  20180630  EWSETA 
Fundamental  20893  National Certificate: Human Resources Management and Practices Support  Level 4  NQF Level 04  Passed the End Date  Status was "Registered" 
20050213  Was SABPP until Last Date for Achievement 
Fundamental  23733  National Certificate: Nuclear Power Plant Operation  Level 4  Level TBA: Pre2009 was L4  Reregistered  20180630  EWSETA 
Fundamental  23675  National Certificate: Management of Building Construction Processes  Level 5  Level TBA: Pre2009 was L5  Reregistered  20180630  CETA 
Fundamental  49011  National Diploma: Animal Production  Level 5  NQF Level 05  Reregistered  20180630  AgriSETA 
Fundamental  21872  National Diploma: Clothing Manufacturing Technology  Level 5  NQF Level 05  Passed the End Date  Status was "Reregistered" 
20150630  FPMSETA 
Fundamental  21792  National Diploma: Contact Centre Management  Level 5  NQF Level 05  Reregistered  20180630  SERVICES 
Fundamental  22212  National Diploma: Footwear Technology  Level 5  NQF Level 05  Passed the End Date  Status was "Reregistered" 
20150630  FPMSETA 
Fundamental  23683  National Diploma: Management of Civil Engineering Construction Processes  Level 5  NQF Level 05  Reregistered  20180630  CETA 
Fundamental  49010  National Diploma: Plant Production  Level 5  NQF Level 05  Reregistered  20180630  AgriSETA 
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.  Academy for Construction Skills (Pty) Ltd (ACS) 
2.  Balemi Consulting Pty Ltd 
3.  Elsenburg Agricultural Training Institute 
4.  ESKOM KOEBERG  RADIATION PROTECTION 
5.  Mitek Industries SA ( Pty) Ltd 
6.  MPACT 
7.  RCL FoodsSugar & Milling 
8.  STUDIO 05 HOUSE OF FASHION 
9.  Suidwes Beleggings Eiendoms Beperk 
10.  VKB LANDBOU (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. 