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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: |
| Working with numbers in various contexts |
| SAQA US ID | UNIT STANDARD TITLE | |||
| 7447 | Working with numbers in various 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 | 6 |
| 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 | |||
| 2026-06-30 | 2029-06-30 | |||
| 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:
Express and interpret a range of contexts using mathematical symbols, and find applications for numerical models; Solve a range of everyday problems using estimation and calculations; Verify and justify solutions within different contexts; Perform operations on simple and complex numerical expressions; Describe and compare counting systems from different cultures; Critically analyse the development of the base ten number system; Apply the relationship between rational and whole numbers; Apply the relationship between rational numbers and integers. |
| LEARNING ASSUMED TO BE IN PLACE AND RECOGNITION OF PRIOR LEARNING |
| The following competencies at ABET level 3 Numeracy are assumed to be in place:
Solve realistic and abstract problems involving changing quantities by addition, subtraction, multiplication and division; Solve realistic and abstract problems involving variables in non-symbolic form; Demonstrate knowledge of different ways of expressing fractions and work with fractions, percentages and decimals to describe situations and calculate change situations; Demonstrate knowledge of the development of mathematics as a human activity and use alternate number system to the base ten system. |
| Specific Outcomes and Assessment Criteria: |
| SPECIFIC OUTCOME 1 |
| Express and interpret a range of contexts using mathematical symbols. |
| OUTCOME NOTES |
| Express and interpret a range of contexts using mathematical symbols and find applications for numerical models. |
| OUTCOME RANGE |
| Everyday problems, numerical contexts.
Numerical models include equations, expressions and terms. |
ASSESSMENT CRITERIA |
| ASSESSMENT CRITERION 1 |
| 1. Mathematical sentences reflect the situation completely and accurately. |
| ASSESSMENT CRITERION RANGE |
| Everyday problems, numerical contexts.
Numerical models include equations, expressions and terms. |
| ASSESSMENT CRITERION 2 |
| 2. The form of expression is appropriate to the context. |
| ASSESSMENT CRITERION 3 |
| 3. Application for given numerical models are developed such that the meaning of symbols and relationships between them are clarified. |
| SPECIFIC OUTCOME 2 |
| Solve a range of everyday problems using estimation and calculations. |
| OUTCOME RANGE |
| Rounding off and truncating, with or without calculator, combination, separation, comparison, equalisation, sharing and grouping. |
ASSESSMENT CRITERIA |
| ASSESSMENT CRITERION 1 |
| 1. Problem solving strategies are based on a correct interpretation of the problem situation. |
| ASSESSMENT CRITERION 2 |
| 2. Estimates can be justified within context. |
| ASSESSMENT CRITERION 3 |
| 3. Calculations are performed accurately. |
| ASSESSMENT CRITERION 4 |
| 4. Calculations follow some form of logical reasoning process, which is presented clearly. |
| ASSESSMENT CRITERION 5 |
| 5. Solutions are correct in terms of the context. |
| SPECIFIC OUTCOME 3 |
| Verify and justify solutions within different contexts. |
| OUTCOME RANGE |
| Solutions derived by learners and by others. |
ASSESSMENT CRITERIA |
| ASSESSMENT CRITERION 1 |
| 1. The reasoning process is explained clearly. |
| ASSESSMENT CRITERION 2 |
| 2. Solutions are justified in terms of the context. |
| ASSESSMENT CRITERION RANGE |
| Appropriate and inappropriate solutions. |
| ASSESSMENT CRITERION 3 |
| 3. Solutions are shown to be consistent with estimations and vice versa. |
| SPECIFIC OUTCOME 4 |
| Perform operations on simple and complex numerical expressions. |
| OUTCOME RANGE |
| Four basic operations in all combinations.
Expressions involving exponents that can be calculated without a calculator. Operations to be performed with and without a calculator. |
ASSESSMENT CRITERIA |
| ASSESSMENT CRITERION 1 |
| 1. Operations are performed according to the conventions governing the order of operations. |
| ASSESSMENT CRITERION 2 |
| 2. Solutions are correct. |
| SPECIFIC OUTCOME 5 |
| Describe and compare counting systems from different cultures. |
| OUTCOME RANGE |
| Own, African culture other than own, one other. |
ASSESSMENT CRITERIA |
| ASSESSMENT CRITERION 1 |
| 3. Numbers are translated from one base system to another. |
| ASSESSMENT CRITERION RANGE |
| Base 2, 5, 10, and 16. |
| ASSESSMENT CRITERION 2 |
| 1. Descriptions show understanding of how counting systems developed and their significance. |
| ASSESSMENT CRITERION 3 |
| 2. Descriptions show examples of how the systems might have been used, and the limitations of the system. |
| SPECIFIC OUTCOME 6 |
| Critically analyse the development of the base ten number system. |
| OUTCOME RANGE |
| Place value, role of 0 in our number system, patterned nature of whole numbers, history and contestations. |
ASSESSMENT CRITERIA |
| ASSESSMENT CRITERION 1 |
| 1. The development and significance of zero is explained. |
| ASSESSMENT CRITERION 2 |
| 2. Understanding of the place value of numbers is demonstrated. |
| ASSESSMENT CRITERION RANGE |
| Expansion of numbers in different ways, the value of a numerical symbol in a number. |
| ASSESSMENT CRITERION 3 |
| 3. The patterned nature of whole numbers and its historical development are described. |
| ASSESSMENT CRITERION 4 |
| 4. The contestations around, and use and popularisation of the decimal number system are described. |
| ASSESSMENT CRITERION RANGE |
| Uses in economics and politics. |
| SPECIFIC OUTCOME 7 |
| Analyse the relationship between rational and whole numbers. |
ASSESSMENT CRITERIA |
| ASSESSMENT CRITERION 1 |
| 1. Demonstrations describe the increasing density of the system. |
| ASSESSMENT CRITERION 2 |
| 2. Demonstrations show that whole numbers are a subset of rational numbers. |
| ASSESSMENT CRITERION 3 |
| 3. The properties of whole numbers and rational numbers are given. |
| SPECIFIC OUTCOME 8 |
| Analyse the relationship between rational numbers and integers. |
ASSESSMENT CRITERIA |
| ASSESSMENT CRITERION 1 |
| 1. Demonstrations describe the increasing density of the system. |
| ASSESSMENT CRITERION 2 |
| 2. Demonstrations show that whole numbers are a subset of rational numbers. |
| ASSESSMENT CRITERION 3 |
| 3. The properties of whole numbers and rational numbers are given. |
| Critical Cross-field Outcomes (CCFO): |
| UNIT STANDARD CCFO IDENTIFYING |
| Identify and solve problems by working with numbers in various contexts. |
| UNIT STANDARD CCFO COLLECTING |
| Collect and analyse mathematical information. |
| UNIT STANDARD CCFO COMMUNICATING |
| Communicate effectively using mathematical symbols. |
REREGISTRATION HISTORY |
| As per the SAQA Board decision/s at that time, this unit standard was Reregistered in 2012; 2015. |
| QUALIFICATIONS UTILISING THIS UNIT STANDARD: |
| ID | QUALIFICATION TITLE | PRE-2009 NQF LEVEL | NQF LEVEL | STATUS | END DATE | PRIMARY OR DELEGATED QA FUNCTIONARY | |
| Fundamental | 48642 | General Education and Training Certificate Housing: Housing Consumer Education | Level 1 | NQF Level 01 | Passed the End Date - Status was "Reregistered" |
2009-05-13 | Was CETA until Last Date for Achievement |
| Fundamental | 24153 | General Education and Training Certificate: Adult Basic Education and Training | Level 1 | NQF Level 01 | Passed the End Date - Status was "Reregistered" |
2008-09-13 | Was ETDP SETA until Last Date for Achievement |
| Fundamental | 49606 | General Education and Training Certificate: Ancillary Health Care | Level 1 | NQF Level 01 | Passed the End Date - Status was "Reregistered" |
2023-06-30 | HW SETA |
| Fundamental | 50584 | General Education and Training Certificate: Clothing Manufacturing Processes | Level 1 | NQF Level 01 | Passed the End Date - Status was "Reregistered" |
2023-06-30 | FPMSETA |
| Fundamental | 22971 | General Education and Training Certificate: Conservation | Level 1 | NQF Level 01 | Passed the End Date - Status was "Reregistered" |
2012-06-30 | CATHSSETA |
| Fundamental | 49411 | General Education and Training Certificate: Construction | Level 1 | NQF Level 01 | Passed the End Date - Status was "Reregistered" |
2023-06-30 | CETA |
| Fundamental | 23093 | General Education and Training Certificate: Development Practice | Level 1 | NQF Level 01 | Passed the End Date - Status was "Reregistered" |
2023-06-30 | ETDP SETA |
| Fundamental | 49552 | General Education and Training Certificate: Environmental Practice | Level 1 | NQF Level 01 | Passed the End Date - Status was "Reregistered" |
2023-06-30 | LG SETA |
| Fundamental | 50225 | General Education and Training Certificate: General Forestry | Level 1 | NQF Level 01 | Passed the End Date - Status was "Reregistered" |
2023-06-30 | FPMSETA |
| Fundamental | 49753 | General Education and Training Certificate: General Technical Practice | Level 1 | NQF Level 01 | Passed the End Date - Status was "Reregistered" |
2023-06-30 | EWSETA |
| Fundamental | 49668 | General Education and Training Certificate: Horticulture | Level 1 | NQF Level 01 | Passed the End Date - Status was "Reregistered" |
2023-06-30 | AgriSETA |
| Fundamental | 57937 | General Education and Training Certificate: Hygiene and Cleaning | Level 1 | NQF Level 01 | Passed the End Date - Status was "Reregistered" |
2023-06-30 | SERVICES |
| Fundamental | 49583 | General Education and Training Certificate: Poultry Processing | Level 1 | NQF Level 01 | Passed the End Date - Status was "Reregistered" |
2023-06-30 | AgriSETA |
| Fundamental | 49580 | General Education and Training Certificate: Poultry Production | Level 1 | NQF Level 01 | Passed the End Date - Status was "Reregistered" |
2023-06-30 | AgriSETA |
| Fundamental | 22190 | General Education and Training Certificate: Tourism | Level 1 | NQF Level 01 | Passed the End Date - Status was "Reregistered" |
2012-06-30 | CATHSSETA |
| Fundamental | 48495 | General Education and Training Certificate: Water Services | Level 1 | NQF Level 01 | Passed the End Date - Status was "Reregistered" |
2023-06-30 | EWSETA |
| Fundamental | 23193 | GETC in Ancillary Health Care | Level 1 | NQF Level 01 | Passed the End Date - Status was "Registered" |
2005-02-13 | Was HW SETA until Last Date for Achievement |
| Fundamental | 23853 | GETC: Domestic Services | Level 1 | NQF Level 01 | Passed the End Date - Status was "Reregistered" |
2023-06-30 | SERVICES |
| Fundamental | 49082 | GETC: Wood Products Processing | Level 1 | NQF Level 01 | Passed the End Date - Status was "Reregistered" |
2023-06-30 | FPMSETA |
| Fundamental | 23253 | National Certificate (GETC): Manufacturing, Engineering and Related Activities | Level 1 | NQF Level 01 | Passed the End Date - Status was "Reregistered" |
2023-06-30 | MERSETA |
| Fundamental | 48970 | National Certificate: Animal Production | Level 1 | NQF Level 01 | Passed the End Date - Status was "Reregistered" |
2023-06-30 | AgriSETA |
| Fundamental | 22865 | National Certificate: Chemical Operations | Level 1 | NQF Level 01 | Passed the End Date - Status was "Registered" |
2005-10-09 | Was CHIETA until Last Date for Achievement |
| Fundamental | 14406 | National Certificate: Early Childhood Development: Preschool Phase | Level 1 | NQF Level 01 | Passed the End Date - Status was "Registered" |
2003-10-11 | Was ETDP SETA until Last Date for Achievement |
| Fundamental | 20287 | National Certificate: Farming | Level 1 | NQF Level 01 | Passed the End Date - Status was "Reregistered" |
2023-06-30 | AgriSETA |
| Fundamental | 20173 | National Certificate: Hygiene and Cleaning | Level 1 | NQF Level 01 | Passed the End Date - Status was "Reregistered" |
2007-02-21 | Was SERVICES until Last Date for Achievement |
| Fundamental | 48971 | National Certificate: Mixed Farming Systems | Level 1 | NQF Level 01 | Passed the End Date - Status was "Reregistered" |
2023-06-30 | AgriSETA |
| Fundamental | 48972 | National Certificate: Plant Production | Level 1 | NQF Level 01 | Passed the End Date - Status was "Reregistered" |
2023-06-30 | AgriSETA |
| Fundamental | 21798 | Certificate: Telecommunications for Customer Premises Equipment | Level 2 | NQF Level 02 | Passed the End Date - Status was "Reregistered" |
2009-10-03 | Was MICTS until Last Date for Achievement |
| Fundamental | 49014 | National Certificate: Rockbreaking: Underground Hard Rock | Level 3 | NQF Level 03 | Passed the End Date - Status was "Reregistered" |
2007-08-16 | Was MQA until Last Date for Achievement |
| 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. | 1 Classie Africa |
| 2. | A4 Consultancy CC |
| 3. | African Apex Apparel (Pty) Ltd |
| 4. | Afrivet Training Services (Pty) Ltd |
| 5. | Agrioperations Hub Pty Ltd |
| 6. | Amabamba Recruitment |
| 7. | Amaloba Horticultural Services |
| 8. | Arden School of Management (Pty) Ltd |
| 9. | ASSMANG (PTY) LTD |
| 10. | ASSMANG BEESHOEK MINE |
| 11. | Atom Agric and Training (Pty) Ltd |
| 12. | AVAX SA 481 CC. T/A Mandisa Development Services |
| 13. | Balemi Consulting Pty Ltd |
| 14. | BARBERTON MINES (PTY) LTD |
| 15. | Biofuels Business Incubators NPC |
| 16. | Boikgantsho Consulting & Events |
| 17. | BOKONI PLATINUM MINES (PTY) LTD |
| 18. | Buena Vista Learning Academy |
| 19. | Bumunhu Services Providers Cc |
| 20. | Cedara College of Agriculture |
| 21. | Cre8tion Projects 6 PTY LTD |
| 22. | Cumlaude Institute (PTY) Ltd |
| 23. | Deloitte |
| 24. | DEW CRISP PTY LTD |
| 25. | Dihwai Food Cultural and Agricultural Services |
| 26. | Dlamini The Siba PTY LTD |
| 27. | ELSENBURG AGRICULTURAL COLLEGE |
| 28. | Elvis Koena Consulting (Pty) Ltd |
| 29. | ERGO BUSINESS DEVELOPMENT ACADEMY NPC |
| 30. | Esayidi FET College - Central Office |
| 31. | Escay Catering and other Services |
| 32. | EXXARO COAL (PTY) LTD |
| 33. | Farm for Africa Training and Development |
| 34. | Food and Trees for Africa |
| 35. | Fort Cox Agricultural College |
| 36. | FOSKOR (PTY) LTD |
| 37. | GA Community Care Consultants |
| 38. | Ghoenas Kraal Opleiding Sentrum |
| 39. | Goldfields FET College |
| 40. | Green Futures |
| 41. | Greenrim Training |
| 42. | HARMONY GOLD MINING CO LTD |
| 43. | Heedmorine Training |
| 44. | HLUVUKA TRAINING AND CONSULTING |
| 45. | Hot To Go Training College and Services |
| 46. | Impact Plus Training Consultants |
| 47. | IMPALA PLATINUM SERVICES LTD |
| 48. | Interstate Clearing 092 (Pty) Ltd |
| 49. | IQ Skills Academy (PTY) LTD. |
| 50. | Josmap Training Institute |
| 51. | KayDee Project Management Cc |
| 52. | Kelmik Training Centre (Pty) Ltd |
| 53. | Kgopane Trading Enterprise |
| 54. | Kimbali Holdings |
| 55. | KMK Training Services (PTY) Ltd |
| 56. | Knowledge For Ever |
| 57. | KUMBA IRON ORE (SISHEN) |
| 58. | Kwevhos Business Enterprise |
| 59. | Legal Environment Safety & Health Requirements cc |
| 60. | Leruo ke Matla Training and Enterprise Development Services |
| 61. | Longmore Training and Developen |
| 62. | Lovedale TVET College |
| 63. | Maishamalema Development Training |
| 64. | Mananthatshema Skills Dev. Centre |
| 65. | Marang Women in Agric and Development |
| 66. | MARS Business Consulting |
| 67. | Mathapuso Construction and Projects |
| 68. | Matlharini Multi Centre Skills |
| 69. | Matotomana Training & General Trading |
| 70. | Mcebo Technologies |
| 71. | Mdaka Omnyama Trading and Projects |
| 72. | Medu Skills Consultants |
| 73. | Mnambithi TVET College |
| 74. | Mobile Agri Skills Development and Training NPC |
| 75. | Modiehi Consulting & Projects (Pty) Ltd |
| 76. | Mogaladi Business Enterprise |
| 77. | Montshepetsa Bosui Farming & Training Cnt |
| 78. | Mortarboard Training Solutions |
| 79. | Morwa Agri-development cc |
| 80. | Mpontshe Training |
| 81. | Mthashana FET College - Vryheid Campus |
| 82. | MURRAY & ROBERTS CEMENTATION (PTY)LTD |
| 83. | Mvelo Consultant |
| 84. | National Institute For The Deaf - NID |
| 85. | Neopeo Trading & Projects |
| 86. | New Heights 1082 Pty Ltd |
| 87. | Ngwato Wa Mphela Agriculture Training Services |
| 88. | Nkalebetja Agricultural Projects and Management services |
| 89. | Nkangala Public FET College - Central Office |
| 90. | Nophelo Training Centre |
| 91. | NORTHAM PLATINUM LTD |
| 92. | Novi General Services |
| 93. | Owen Sithole College of Agriculture |
| 94. | P N K Management Services |
| 95. | PERENNIAL SERVICES PTY LTD |
| 96. | Phepha Consulting Services |
| 97. | Phill Skills and Development Institute |
| 98. | Premier Agric (Pty) Ltd |
| 99. | Progressive Environmental Projects |
| 100. | Progressive School of Business and Engineering (Pty) |
| 101. | Redefined Skills Training & Development (Pty) Ltd |
| 102. | Remoshomong Trading Enterprise |
| 103. | Retsogile Education and Training |
| 104. | RICHARDS BAY MINING PTY LTD |
| 105. | RLSTP Training & Development (PTY) LTD. |
| 106. | SBJ Shadikamang Agriculture |
| 107. | Scientific Roots (Pty) Ltd |
| 108. | Sekhukhune FET College - Central Office |
| 109. | Selipha Trading (Pty) Ltd |
| 110. | SENZEKO EXECUTIVE RISK CC |
| 111. | Setlakala Business Development |
| 112. | Seza Bantu Rural Agricultural Projects |
| 113. | SIBANYE GOLD ACADEMY PROPRIETARY LIMITED |
| 114. | Silver Falls Scientific |
| 115. | Simmek Holdings |
| 116. | Siyafundisa I Africa |
| 117. | Siyasanga Training Centre |
| 118. | South African Forestry Training College |
| 119. | Suidwes Beleggings Eiendoms Beperk |
| 120. | Taletso FET College - Central Office |
| 121. | Tasc Business Consulting and Training |
| 122. | Tebkhan Investments (Pty) Ltd |
| 123. | The Brokers Learning Centre |
| 124. | The Skills Development Hub (Pty) Ltd |
| 125. | THUNGELA OPERATIONS (PTY) LTD |
| 126. | Thuto Boshwa Skills Development Services |
| 127. | Thutong Learning College |
| 128. | Timothy Fasheun Group Enviromentors (Pty) Ltd |
| 129. | Tinotsile Training and Development |
| 130. | Tlatlana Events Solution and Communication |
| 131. | TM Mashwara and Projects |
| 132. | Tompi Seleka Agricultural College |
| 133. | TPN Training and Recruitment cc |
| 134. | TRAIN THE NATION AND ASSOCIATES (PTY) LTD |
| 135. | Transafric Consulting Pty Ltd |
| 136. | Tripple R Training Provider |
| 137. | Tshenkeng's Consulting |
| 138. | U AND G TRAINING (PTY) LTD |
| 139. | Umfolozi FET College |
| 140. | University of Venda |
| 141. | Vari Holdings (Pty)Ltd |
| 142. | VENETIA MINE |
| 143. | VINE APPAREL (PTY)LTD |
| 144. | Voyano Project Management |
| 145. | Washa 2 Training & Projects |
| 146. | Waterberg FET College - Central Office |
| 147. | Westco Agri Training |
| 148. | Working Decisions Cc |
| 149. | Yangantle Trading |
| 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. |