SAQA 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: 

Describe, interpret and represent mathematical patterns, functions and algebra in different contexts 
SAQA US ID UNIT STANDARD TITLE
119368  Describe, interpret and represent mathematical patterns, functions and algebra in different contexts 
ORIGINATOR
SGB Math. Literacy Mathematics and Math Sciences 
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
ABET Level 4  Regular-Fundamental  Level 1  NQF Level 01 
REGISTRATION STATUS REGISTRATION START DATE REGISTRATION END DATE SAQA DECISION NUMBER
Reregistered  2015-07-01  2018-06-30  SAQA 10105/14 
LAST DATE FOR ENROLMENT LAST DATE FOR ACHIEVEMENT
2019-06-30   2022-06-30  

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 
People credited with this unit standard are able to:
  • Recognise, create and describe various patterns and functional relationships
  • Investigate observed patterns and analyse mathematical situations and structures
  • Investigate problems in mathematical and real-life situations
  • Determine, analyse and interpret equivalence of different descriptions of the same relationships 

  • LEARNING ASSUMED TO BE IN PLACE AND RECOGNITION OF PRIOR LEARNING 
    It is assumed that people starting to learn towards this unit standard are competent in reading and writing, working with numbers, operations with numbers and relationships between numbers, understanding of patterns, functions and algebra and working with shape, space and measurement at ABET level 2. 

    UNIT STANDARD RANGE 
    N/A 

    Specific Outcomes and Assessment Criteria: 

    SPECIFIC OUTCOME 1 
    Recognise, create and describe various patterns and functional relationships. 

    ASSESSMENT CRITERIA
     

    ASSESSMENT CRITERION 1 
    A variety of numeric and geometric patterns are investigated and analysed. 

    ASSESSMENT CRITERION 2 
    Patterns not limited to sequences involving constant difference or ratio are created. 

    ASSESSMENT CRITERION 3 
    An initial understanding of rate of change is developed e.g. the connection between the slope of a line and constant rate of change. 

    ASSESSMENT CRITERION 4 
    Generalisations are identified and expressed and their validity is verified and explained correctly. 

    SPECIFIC OUTCOME 2 
    Investigate observed patterns and analyse mathematical situations and structures. 

    ASSESSMENT CRITERIA
     

    ASSESSMENT CRITERION 1 
    Relationships between input and output variables are recognised in terms of numerical, graphical, verbal and symbolic representations. 

    ASSESSMENT CRITERION 2 
    Conversions between various representations are performed flexibly. 

    ASSESSMENT CRITERION 3 
    Graphs drawn of observed patterns are analysed in terms of their characteristics. 
    ASSESSMENT CRITERION RANGE 
    Domain and range; intercepts with the axes; turning points, minima, maxima; shape and symmetry; intervals on which the function increases /decreases; discrete and continuous.
     

    SPECIFIC OUTCOME 3 
    Investigate and solve problems in mathematical and real-life situations. 
    OUTCOME RANGE 
    Problems should include contexts that relate to human rights, social, economic, cultural, health and environmental issues. 

    ASSESSMENT CRITERIA
     

    ASSESSMENT CRITERION 1 
    Information derived from tables and graphs is used to answer relevant questions related to the given data. 

    ASSESSMENT CRITERION 2 
    Appropriate axes are used to represent information with graphs. 

    ASSESSMENT CRITERION 3 
    Situations are described by interpreting graphs of the situations in terms of trends and features. 

    ASSESSMENT CRITERION 4 
    Contextualised problems are modelled and solved using various representations such as graphs and tables to understand the purpose and utility of each. 

    SPECIFIC OUTCOME 4 
    Determine, analyse and interpret equivalence of different descriptions of the same relationships. 

    ASSESSMENT CRITERIA
     

    ASSESSMENT CRITERION 1 
    Equivalent expressions for algebraic expressions are generated. 

    ASSESSMENT CRITERION 2 
    Algebraic processes are used correctly. 
    ASSESSMENT CRITERION RANGE 
    Like and unlike terms are classified; like terms are collected; polynomial expressions are multiplied or divide by a monomial; algebraic expressions are factorised (common factor; difference of squares).
     

    ASSESSMENT CRITERION 3 
    The laws of exponents is developed are understood and explained with examples. 

    ASSESSMENT CRITERION 4 
    Linear equations and inequalities are solved by trial and improvement as well as algebraic processes. 


    UNIT STANDARD ACCREDITATION AND MODERATION OPTIONS 
    Providers of this Unit Standard must be accredited by the relevant Education and Training quality Authority (ETQA) before they can offer training against this unit standard.

    Moderation will be overseen by the relevant ETQA according to moderation guidelines in the relevant qualification and the agreed ETQA procedures. 

    UNIT STANDARD ESSENTIAL EMBEDDED KNOWLEDGE 
    N/A 

    UNIT STANDARD DEVELOPMENTAL OUTCOME 
    N/A 

    UNIT STANDARD LINKAGES 
    N/A 


    Critical Cross-field Outcomes (CCFO): 

    UNIT STANDARD CCFO IDENTIFYING 
    Identify and solve problems and make decisions using critical and creative thinking. 

    UNIT STANDARD CCFO WORKING 
    Work effectively with others as members of a team, group, organisation and community. 

    UNIT STANDARD CCFO ORGANISING 
    Organise and manage themselves and their activities responsibly and effectively. 

    UNIT STANDARD CCFO COLLECTING 
    Collect, analyse, organise and critically evaluate information. 

    UNIT STANDARD CCFO COMMUNICATING 
    Communicate effectively using visual, symbolic and/or language skills in various modes. 

    UNIT STANDARD CCFO SCIENCE 
    Use science and technology effectively and critically showing responsibility towards the environment and the health of other. 

    UNIT STANDARD CCFO DEMONSTRATING 
    Demonstrate an understanding of the world as a set of related systems by recognising that problem solving contexts do not exist in isolation. 

    UNIT STANDARD CCFO CONTRIBUTING 
    Contribute to the full personal development of the learner and the social and economic development of the society at large, by making individuals aware of the importance of:
  • Reflecting on and exploring a variety of strategies to learn more effectively;
  • Participating as responsible citizens in the life of local, national and global communities;
  • Being culturally and aesthetically sensitive across a range of social contexts;
  • Exploring education and career opportunities;
  • Developing entrepreneurial opportunities. 

  • UNIT STANDARD ASSESSOR CRITERIA 
    N/A 

    REREGISTRATION HISTORY 
    As per the SAQA Board decision/s at that time, this unit standard was Reregistered in 2012; 2015. 

    UNIT STANDARD NOTES 
    N/A 

    QUALIFICATIONS UTILISING THIS UNIT STANDARD: 
      ID QUALIFICATION TITLE PRE-2009 NQF LEVEL NQF LEVEL STATUS END DATE PRIMARY OR DELEGATED QA FUNCTIONARY
    Fundamental  61755   General Education and Training Certificate: Business Practice  Level 1  NQF Level 01  Reregistered  2018-06-30  SERVICES 
    Fundamental  66029   General Education and Training Certificate: Chemical Operations  Level 1  NQF Level 01  Reregistered  2018-06-30  As per Learning Programmes recorded against this Qual 
    Fundamental  58493   General Education and Training Certificate: Equine and Equestrian Practices  Level 1  NQF Level 01  Reregistered  2018-06-30  AgriSETA 
    Fundamental  58026   General Education and Training Certificate: Food and Beverage Handling Processes  Level 1  NQF Level 01  Reregistered  2018-06-30  FOODBEV 
    Fundamental  57829   General Education and Training Certificate: Grain Handling Processes  Level 1  NQF Level 01  Reregistered  2018-06-30  AgriSETA 
    Fundamental  58267   General Education and Training Certificate: Mining and Minerals Processes  Level 1  NQF Level 01  Reregistered  2018-06-30  MQA 
    Fundamental  59300   General Education and Training Certificate: Transport  Level 1  NQF Level 01  Reregistered  2018-06-30  TETA 
    Fundamental  58760   National Certificate: Rock Breaking Underground Hard Rock  Level 3  NQF Level 03  Reregistered  2018-06-30  MQA 


    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. Adcorp Technical Training 
    2. Andebe Training and Skills Development 
    3. Anglo American Platinum Amandelbult Central Services Training Centre 
    4. Anglo American Platinum Limited 
    5. ANGLOGOLD ASHANTI LTD (V/R) 
    6. ASSMANG LTD 
    7. B.I.O. Comptrain 
    8. BAFOKENG RASIMONE MANAGEMENT SERVICES PTY LTD 
    9. Barberton Mines (pty) Ltd 
    10. Concor Projects (pty) Ltd 
    11. CULLINAN DIAMOND MINE (PTY) LTD 
    12. De Beers Consolidated Mines Ltd - Kimberley 
    13. DIGGERS TRAINING AND DEVELOPMENT SERVICES 
    14. DIONYSUS SKILLS DEVELOPMENT INITIATIVE PTY LTD 
    15. DWARSRIVER CHROME MINE (PTY) LTD 
    16. EASTERN PLATINUM LIMITED 
    17. ERGO BUSINESS DEVELOPMENT ACADEMY 
    18. EVANDER GOLD MINES LTD - KINROSS DIVISION 
    19. FOSKOR Pty Ltd 
    20. Fundisa Zonke Training Academy 
    21. Glencore Operation South Africa (Pty) Ltd 
    22. Glencore Operations South Africa (PTY) LTD - Eastern Mines 
    23. Grinaker LTA Mining 
    24. HARMONY GOLD MINING COMPANY LIMITED 
    25. He and She Driver Training Centre 
    26. Impala Platinum Limited 
    27. IMPALA PLATINUM LIMITED - RUSTENBURG 
    28. Innovative Shared Services 
    29. KHUTALA COLLIERY 
    30. Kumba Sishen HRD Centre 
    31. Learning Exchange Pty (Ltd) 
    32. Makwedeng Training 
    33. MANCAS CONSULTANCY CC 
    34. Marula PLATINUM (PTY) LTD 
    35. Mathome Training & Development 
    36. MATLA COLLIERY 
    37. MESSINA PLATINUM MINES 
    38. MINERAL MINING TRAINING INSTITUTE (PTY) LTD 
    39. MODIKWA PLATINUM MINE 
    40. MURRAY & ROBERTS CEMENTATION PTY LTD 
    41. NKOMATI MINE 
    42. NORTHAM PLATINUM LIMITED 
    43. NOSA LOGISTICS PTY LTD 
    44. Occupational Health & Safety Training 
    45. P and R Development and Training (Pty) Ltd 
    46. Palabora Copper Pty Ltd 
    47. PRETORIA PORTLAND CEMENT CO_LTD (HEAD OFFICE) 
    48. Prisma Training Solutions 
    49. Production Management Institute (PMI) 
    50. Rand Uranium (Pty) Ltd 
    51. Redpath mining (SA) Pty Ltd 
    52. RICHARDS BAY MINERALS 
    53. Richtrau No 177 Pty Ltd t/a Bokoni Platinum Mines (Lebowa Platinum Mines) 
    54. Rustenburg Platinum Mines - Union Section 
    55. Rustenburg Platinum Mines Ltd 
    56. SAFETY TRAINING PRACTITIONERS PTY LTD 
    57. SAMANCOR CHROME LTD t/a Western Chrome Mine 
    58. SAMANCOR EASTERN CROME MINES 
    59. SENZEKO EXECUTIVE RISK CC 
    60. SHAFT SINKERS MINING PTY LTD 
    61. SIBANYE GOLD ACADEMY PROPRIETARY LIMITED 
    62. Sibanye Gold Limited - Beatrix division 
    63. Sibanye Gold Limited - Kloof division 
    64. Skills For Life 
    65. SOUTH DEEP 
    66. Staffing Logistics 
    67. Technology Risk Solutions 
    68. Training Force 
    69. Triton Training and Development 
    70. TWO RIVERS PLATINUM (PTY) LTD 
    71. VENETIA MINE 
    72. Westdawn Investments (Pty) Ltd. trading as JIC Mining Services 
    73. WESTERN PLATINUM KAREE MINE 
    74. WESTERN PLATINUM MINE 
    75. XSTRATA COAL 
    76. Xstrata South Africa Pty Ltd (Wonderskop Smelters) 
    77. XTRACT TRAINING SERVICES (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.