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  PRE2009 NQF LEVEL  NQF LEVEL  CREDITS 
ABET Level 4  RegularFundamental  Level 1  NQF Level 01  4 
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 
People credited with this unit standard are able to:

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 Crossfield 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; 
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  PRE2009 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  20180630  As per Learning Programmes recorded against this Qual 
Fundamental  61755  General Education and Training Certificate: Business Practice  Level 1  NQF Level 01  Reregistered  20180630  SERVICES 
Fundamental  58026  General Education and Training Certificate: Food and Beverage Handling Processes  Level 1  NQF Level 01  Reregistered  20180630  FOODBEV 
Fundamental  66269  General Education and Training Certificate: Lumber Milling  Level 1  NQF Level 01  Reregistered  20180630  FPMSETA 
Fundamental  59300  General Education and Training Certificate: Transport  Level 1  NQF Level 01  Reregistered  20180630  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.  Aldabri 106 (Pty) Ltd 
2.  Andebe Training and Skills Development 
3.  Ariyan and Ariyan Learning Warehouse 
4.  Boland College Head Office 
5.  CAPE COLLEGE 
6.  College of Cape Town  City Campus 
7.  DIONYSUS SKILLS DEVELOPMENT INITIATIVE (PTY) LTD 
8.  ENB Training Service 
9.  He and She Driver Training Centre 
10.  Innovative Shared Services 
11.  KINGSBURY INTERNATIONAL COLLEGE SA (PTY) LTD (Middelburg)(TP) 
12.  Learning Exchange Pty (Ltd) 
13.  Lomkhethi Trading Enterprise 
14.  Makwedeng Training 
15.  MINERAL MINING TRAINING INSTITUTE (PTY) LTD 
16.  NOFESA cc 
17.  Northlink College  Protea Campus 
18.  Northlink College  Tygerberg Campus 
19.  NOSA LOGISTICS PTY LTD 
20.  Occupational Health & Safety Training 
21.  P and R Development and Training (Pty) Ltd 
22.  Production Management Institute (PMI) 
23.  Project Literacy 
24.  SIYAYA HYGIENE AND SKILLS INSTITUTE 
25.  SIYAYA SKILLS INSTITUTE EASTERN CAPE 
26.  Skills For Life 
27.  South Cape Public FET College  George Campus 
28.  Staffing Logistics 
29.  Training Force 
30.  Umbuso Training Services 
31.  York Timbers 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. 