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 | PRE-2009 NQF LEVEL | NQF LEVEL | CREDITS |
ABET Level 3 | Regular-Fundamental | Below Level 1 | Level TBA:Pre-2009 BelowL1 | 5 |
REGISTRATION STATUS | REGISTRATION START DATE | REGISTRATION END DATE | SAQA DECISION NUMBER | |
Passed the End Date - Status was "Reregistered" |
2018-07-01 | 2023-06-30 | SAQA 06120/18 | |
LAST DATE FOR ENROLMENT | LAST DATE FOR ACHIEVEMENT | |||
2024-06-30 | 2027-06-30 |
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:
|
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 Hindu-Arabic 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 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:
|
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 | 58739 | National Certificate: Mining Operations for Underground Hard Rock | Level 2 | NQF Level 02 | Passed the End Date - Status was "Reregistered" |
2023-06-30 | 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 (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. |