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: 

Work with numbers; operations with numbers and relationships between numbers 
SAQA US ID UNIT STANDARD TITLE
119362  Work with numbers; operations with numbers and relationships between numbers 
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, order, describe and compare numbers
  • Perform calculations to solve realistic and abstract problems
  • Use different techniques and strategies to calculate efficiently and accurately
  • Solve problems in contexts (social, economic, environmental, human rights)
  • Describe and illustrate the development of number systems in different cultures e.g. Babylonian (base 60) or Mayan (base 20) 

  • LEARNING ASSUMED TO BE IN PLACE AND RECOGNITION OF PRIOR LEARNING 
    It is assumed that learners undertaking the learning of this unit standard have prior knowledge and skills for working with numbers, operations with numbers and relationships between numbers and reading and writing at ABET level 3. 

    UNIT STANDARD RANGE 
    N/A. 

    Specific Outcomes and Assessment Criteria: 

    SPECIFIC OUTCOME 1 
    Recognise, order, describe and compare numbers. 
    OUTCOME RANGE 
    Rational numbers including: common fractions; decimal fractions and percentages; numbers in exponential forms; large and small numbers in scientific notation; irrational numbers in context of measurement ( ; square and cube roots where applicable). 

    ASSESSMENT CRITERIA
     

    ASSESSMENT CRITERION 1 
    Numbers are expressed using the correct number names and symbols. 

    ASSESSMENT CRITERION 2 
    Place value of digits in any number is used correctly. 

    ASSESSMENT CRITERION 3 
    Multiplicative inverses are recognised, described and used correctly. 

    ASSESSMENT CRITERION 4 
    Equivalent forms of rational numbers are recognised and used correctly. 

    ASSESSMENT CRITERION 5 
    The difference between rational and irrational numbers is recognised. 

    SPECIFIC OUTCOME 2 
    Perform calculations to solve realistic and abstract problems. 
    OUTCOME RANGE 
    Multiple operations with rational numbers; approximations of rational numbers; finding exponents; finding squares of natural numbers; finding square roots of natural numbers. 

    ASSESSMENT CRITERIA
     

    ASSESSMENT CRITERION 1 
    Appropriate operations are used to find squares and square roots of numbers. 

    ASSESSMENT CRITERION 2 
    Rational numbers are converted to equivalent forms, e.g. recurring decimals to proper fractions. 

    ASSESSMENT CRITERION 3 
    The distributive, associative and commutative properties are recognised and used correctly. 

    ASSESSMENT CRITERION 4 
    The meaning of exponents in numerical examples is recognised and used correctly. 

    ASSESSMENT CRITERION 5 
    The laws of exponents are used correctly in numerical examples. 

    SPECIFIC OUTCOME 3 
    Use different techniques and strategies to calculate efficiently and accurately. 
    OUTCOME RANGE 
    Working in columns; long division e.g. repeated subtraction of the divisor; estimating answers; available technologies e.g. calculators, spreadsheets, etc.; algorithms to find equivalent fractions. 

    ASSESSMENT CRITERIA
     

    ASSESSMENT CRITERION 1 
    Numbers are rounded off correctly. 

    ASSESSMENT CRITERION 2 
    Technique are chosen which are suited to the problem. 

    ASSESSMENT CRITERION 3 
    Estimates are reasonably close to the answers. 

    ASSESSMENT CRITERION 4 
    Estimates made facilitate easy calculations. 

    ASSESSMENT CRITERION 5 
    Calculations on a calculator are done correctly. 

    SPECIFIC OUTCOME 4 
    Solves problems in contexts. 
    OUTCOME RANGE 
    Problems involving financial aspects e.g. budgets, accounts, loans, simple interest, hire purchase; other Learning Areas, e.g. measurement in Technology and Natural Sciences contexts.; ratio, rate and proportion (direct and indirect).
    Contexts include: Social, economic, environmental human rights. 

    ASSESSMENT CRITERIA
     

    ASSESSMENT CRITERION 1 
    The problem is expressed using words, mathematical expressions, equations and/or drawings. 

    ASSESSMENT CRITERION 2 
    Appropriate operations are used correctly. 

    ASSESSMENT CRITERION 3 
    Solutions are offered which make sense within the context of the problem and the validity of solutions is checked. 

    ASSESSMENT CRITERION 4 
    Methods to solve problems and check solutions are explained. 

    ASSESSMENT CRITERION 5 
    Calculator answers are interpreted realistically in context. 

    ASSESSMENT CRITERION 6 
    Explanations of methods are given which are in line with practical considerations. 

    SPECIFIC OUTCOME 5 
    Describe and illustrate the development of numbers by using a different number base than base 10. 
    OUTCOME RANGE 
    e.g. binary. 

    ASSESSMENT CRITERIA
     

    ASSESSMENT CRITERION 1 
    How the system works is illustrated correctly. 

    ASSESSMENT CRITERION 2 
    Counting and recording is done in accordance with the logic of the system. 

    ASSESSMENT CRITERION 3 
    A quantity is expressed correctly within the system. 


    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  71751   General Education and Training Certificate: Adult Basic Education and Training  Level 1  NQF Level 01  Reregistered  2018-06-30  As per Learning Programmes recorded against this Qual 
    Fundamental  61755   General Education and Training Certificate: Business Practice  Level 1  NQF Level 01  Reregistered  2018-06-30  SERVICES 
    Fundamental  58026   General Education and Training Certificate: Food and Beverage Handling Processes  Level 1  NQF Level 01  Reregistered  2018-06-30  FOODBEV 
    Fundamental  66269   General Education and Training Certificate: Lumber Milling  Level 1  NQF Level 01  Reregistered  2018-06-30  FPMSETA 
    Fundamental  59300   General Education and Training Certificate: Transport  Level 1  NQF Level 01  Reregistered  2018-06-30  TETA 


    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. Andebe Training and Skills Development 
    2. Boland College Head Office 
    3. CAPE COLLEGE 
    4. Contra-Lit Pty Ltd 
    5. DIONYSUS SKILLS DEVELOPMENT INITIATIVE (PTY) LTD 
    6. ENB Training Service 
    7. Guest Resource Services (Pty) Ltd 
    8. He and She Driver Training Centre 
    9. Innovative Shared Services 
    10. Institute for Quality cc 
    11. Lomkhethi Trading Enterprise 
    12. Makwedeng Training 
    13. MINERAL MINING TRAINING INSTITUTE (PTY) LTD 
    14. Northlink College - Protea Campus 
    15. P and R Development and Training (Pty) Ltd 
    16. SIYAYA HYGIENE AND SKILLS INSTITUTE 
    17. Skills For Life 
    18. South Cape Public FET College - George Campus 
    19. Training Force 
    20. Yonke Education and Training Solutions 



    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.