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: 
Work with numbers; operations with numbers and relationships between numbers 
SAQA US ID  UNIT STANDARD TITLE  
119367  Work with numbers; operations with numbers and relationships between numbers  
ORIGINATOR  
SGB Math. Literacy Mathematics and Math Sciences  
PRIMARY OR DELEGATED QUALITY ASSURANCE FUNCTIONARY  
ETDP SETA  Education, Training and Development Practices Sector Education and Training Authority  
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 3  RegularFundamental  Below Level 1  Level TBA:Pre2009 BelowL1  5 
REGISTRATION STATUS  REGISTRATION START DATE  REGISTRATION END DATE  SAQA DECISION NUMBER  
Passed the End Date  Status was "Reregistered" 
20180701  20230630  SAQA 06120/18  
LAST DATE FOR ENROLMENT  LAST DATE FOR ACHIEVEMENT  
20240630  20270630 
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 learning towards achieving this unit standard have prior knowledge and skills of working with numbers, operations with numbers and relationships between numbers at ABET level 1 and can demonstrate an understanding of patterns, functions, algebra and read and write at ABET level 2. 
UNIT STANDARD RANGE 
N/A 
Specific Outcomes and Assessment Criteria: 
SPECIFIC OUTCOME 1 
Recognise, order, describe and compare numbers. 
OUTCOME RANGE 
Integers (including multiples and factors); common fractions; decimal fractions at least to 3 decimal places; percentages; mixed numbers 
ASSESSMENT CRITERIA 
ASSESSMENT CRITERION 1 
Quantities are expressed using the correct number names and symbols. 
ASSESSMENT CRITERION 2 
Place value of digits is expressed correctly in at least 6 digit whole numbers as well as decimal fractions to at least two decimal places. 
ASSESSMENT CRITERION 3 
Two or more different integers are compared and ordered correctly. 
ASSESSMENT CRITERION 4 
Additive inverses are recognised, described and used correctly. 
ASSESSMENT CRITERION 5 
Equivalent forms of common fractions, decimal fractions, percentages and mixed numbers are recognised and used correctly. 
SPECIFIC OUTCOME 2 
Perform calculations to solve realistic and abstract problems. 
OUTCOME RANGE 
Uses appropriate operations to perform calculations that involve adding, subtracting and multiplying integers; adding, subtracting and multiplying common fractions; adding and subtracting and multiplying decimals; dividing decimals (3 places) by a whole number; finding percentages 
ASSESSMENT CRITERIA 
ASSESSMENT CRITERION 1 
The additive inverse is used correctly in operations with integers. 
ASSESSMENT CRITERION 2 
Negative numbers are multiplied and divided correctly. 
ASSESSMENT CRITERION 3 
The commutative, associative and distributive properties are recognised and used correctly. 
ASSESSMENT CRITERION 4 
The equivalence of division and fractions is recognised and used correctly. 
ASSESSMENT CRITERION 5 
Parts of a whole are expressed as fractions, percentages and decimals of a whole correctly. 
ASSESSMENT CRITERION 6 
A quantity is expressed as a common fraction, decimal fraction and/or percentage of another quantity. 
ASSESSMENT CRITERION 7 
Common fractions, decimal fractions and/or percentages of a quantity or shape is found. 
ASSESSMENT CRITERION 8 
A quantity or shape is changed by increasing or decreasing it by a fraction, percentage or decimal correctly. 
SPECIFIC OUTCOME 3 
Use different techniques and strategies to calculate mentally and in writing. 
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 to the nearest 10, 100 and 1000. 
ASSESSMENT CRITERION 2 
Techniques are chosen which are suited to the problem. 
ASSESSMENT CRITERION 3 
Estimates are made which are reasonably close to the answers. 
ASSESSMENT CRITERION 4 
Estimates are made to 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
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 to solve the problem. 
ASSESSMENT CRITERION 3 
Solutions are arrived at which make sense within the context of the problem. 
ASSESSMENT CRITERION 4 
The validity of solutions is checked. 
ASSESSMENT CRITERION 5 
Methods to solve problems and check solutions are explained with examples. 
ASSESSMENT CRITERION 6 
Calculator answers are interpreted realistically in context. 
ASSESSMENT CRITERION 7 
Explanations of methods are given which are in line with practical considerations. 
SPECIFIC OUTCOME 5 
Describe and illustrate the history of the introduction of zero and the HinduArabic system. 
ASSESSMENT CRITERIA 
ASSESSMENT CRITERION 1 
How the system works is illustrated correctly with examples. 
ASSESSMENT CRITERION 2 
Counting and recording are 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 option: 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:

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  58739  National Certificate: Mining Operations for Underground Hard Rock  Level 2  NQF Level 02  Passed the End Date  Status was "Reregistered" 
20230630  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 (PTY) LTD 
2.  ALLOYS HEAD OFFICE 
3.  Anglo American Platinum Amendelbult Concentrators 
4.  ASSMANG (PTY) LTD 
5.  AVENG (AFRICA) (PTY) LTD 
6.  BAFOKENG RASIMONE MANAGEMENT SERVICES PTY LTD 
7.  BANA BA THARI MINING TRANING AND DEVELOPMENT ACADEMY 
8.  BARBERTON MINES (PTY) LTD 
9.  COLLIERY TRAINING COLLEGE (PTY) LTD 
10.  CONCOR PROJECTS PTY LTD 
11.  DWARSRIVER CHROME MINE (PTY) LTD 
12.  EASTERN CHROME MINES 
13.  EASTERN CHROME MINES SAMANCOR 
14.  FINSCH DIAMOND MINE(PTY) LTD 
15.  FOSKOR (PTY) LTD 
16.  GEOSTRAT TRAINING 
17.  HARMONY GOLD MINING CO LTD 
18.  MANCAS CONSULTINGS CC 
19.  MARULA PLATINUM PTY LTD 
20.  MATHOME TRAINING AND DEVELOPMENT (PTY) LTD 
21.  MMTI Holdings 
22.  MODIKWA MINING PERSONNEL SERVICES PTY L TD 
23.  NORTHAM PLATINUM LTD 
24.  PALABORA COPPER (PTY) LTD 
25.  PRISMA TRAINING SOLUTIONS (PTY) LTD 
26.  RICHARDS BAY MINING PTY LTD 
27.  SASOL GLOBAL LEARNING 
28.  SENZEKO EXECUTIVE RISK CC 
29.  SIBANYE GOLD ACADEMY PROPRIETARY LIMITED 
30.  SIBANYE RUSTENBURG PLATINUM MINES PTY LTD 
31.  TAU LEKOA GOLD MINING COMPANY (PTY) LTD 
32.  TWO RIVERS PLATINUM (PTY) LTD 
33.  XTRACT TRAINING SERVICES (SA)(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. 