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 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 
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. A4 Consultancy Cc 
2. Aba Sebenzi 
3. Access Employment Skills & Development Agency 
4. Agisanang SA Training 
5. Amabamba Recruitment 
6. Amangile Academy (Pty) Ltd 
7. Amusa Consulting 
8. Avax Sa 481 Cc. T/A Mandisa Development Services 
9. Bantubanye Skills 
10. Bikologix Projects 
11. Bo Support Services Cc 
12. Boikgantsho Consulting & Events 
13. BOLAND COLLEGE 
14. Bridge Building Opex Solutions 
15. Bright Ideas Training 
16. Cape Peninsula University of Technology 
17. Capricon Training Consultants cc 
18. CEMENTATION AFRICA (PTY) LTD 
19. Central Bridge Trading 109 
20. Chartered Institute Of Safety Management 
21. Clean Heat Academy (Pty) Ltd 
22. Cradle Stars Trading Enterprise 
23. Ctc College 
24. Cymbol Consulting(Pty) Ltd. 
25. Dabulamanzi Njabulo Ndaba Consulting cc 
26. Dean Institute Of Learning (Pty) Ltd 
27. Dee's Training (PTY) LTD 
28. Ditirelo Skills Development Services 
29. Dynamic Sheq Solutions 
30. E Mali Outsourcing Cc 
31. East Cape Training Centre 
32. Ecoculture Training And Consultancy 
33. Edge Business School (Pty) Ltd 
34. Elangeni Consulting 
35. Elangeni Consulting (PTY) LTD 
36. Elective Training Institute Enterprise Cc 
37. Elvis Koena Consulting (Pty) Ltd 
38. Environmental Leadership Academy 
39. ENVOY PLANET CONSULTING AND PROJECTS (PTY) LTD 
40. Eskilz College (Pty) Ltd 
41. Essential Skills 
42. Falcon Business Institute (Pty) Ltd 
43. Forestcom 
44. Future Teacher Pty Ltd 
45. Giant Alive Group 
46. Globalmark 
47. Globalwise Training & Consulting (Pty) Ltd. 
48. Green Gain Consulting (Pty)Ltd 
49. Heavenly Button Trading Cc 
50. Hlolo Entle Training and Projects (Pty) Ltd 
51. Hlombe And Associates 
52. Icando 
53. Independent Development Trust 
54. Inkwenkwezi Private College Skills Development cc 
55. Institute For Local Government And Housing 
56. Integrated Waste And Recycling Services(Iwars) 
57. Isiphephelo Consultants 
58. Iziko Capacity Building Cc. 
59. Josmap Training Institute 
60. Jrt3 Jobcreation Rehabilitation Through Training And Technology (Pty) Ltd 
61. K-Leng Touch, Events And Skills Development 
62. Keletsong Community Training Resource Centre 
63. Kenmab Training Centre 
64. Kgakishe Trading And Projects (Pty) Ltd 
65. Kgang-Kgolo Consulting 
66. KHOSITHI TRAINING 
67. Khula Nonke Training & Development 
68. Khulani Skills Development Centre 
69. Khululeka Community Education Centre 
70. Kids Paradise Training Centre 
71. Kn Business Solutions 
72. Kodi Traiding Enterprise 
73. Kwazulu Skills Academy 
74. Lapa La Afrika Farming And Projects 
75. Leronsa Trading Enterprise 
76. Lesedi Educare Association 
77. Lesias Educational Services 
78. Letlhokoa Management Services Cc 
79. Little Elephant Training Centre For Early Educationt a LETCEE 
80. Mabuya Amahle Trading 
81. Maccauvlei Learning Academy Pty Ltd 
82. Maile Consulting 
83. Malizana Projects CC 
84. Mamuhle Academy 
85. Mangalani Business Enterprises 
86. Marcado Human Resources Strategies 
87. Mars Business Consulting 
88. Mashmp Holdings 
89. Mashphe Logistics Services 
90. Matiisetso Training And Consulting 
91. Mavco Engineering Pty Ltd 
92. Mcebo Technologies 
93. Mdaka Omnyama Trading And Projects 
94. Mementos Training Pty Ltd 
95. MENTORNET PTY LTD 
96. Milzet Holdings (Pty) Ltd 
97. Mimosa Business Consultants 
98. Mind Magic Consulting 
99. Mintirho Development Services 
100. Mission Point Consulting 
101. Mml Consulting Cc. 
102. Mod-Mosh Projects And Consulting (Pty) Ltd 
103. Mohlaje Solutions (Pty) Ltd 
104. Mortarboard Training Solutions 
105. Mphela Education Training And Development 
106. Muhangwene Development Enterprise 
107. Mvimbi Business Enterprise 
108. Nalengmokoni Investors (Pty) Ltd 
109. Ndotha General Trading 
110. Nedtex73 
111. Neopeo Trading & Projects 
112. Netgrow Training Solutions 
113. Nettcon Sa 
114. Networx for Career Development 
115. Nghano Training And Development Centre 
116. Nj & L Trading Enterprise Cc. 
117. Nkinane Trading Enterprise 
118. Nobo Training And Development Services (Pty) Ltd 
119. Nomsithi Trading 
120. Nqowethu Trading 
121. Ns Global Academy 
122. Nyankwavi Investment Cc. 
123. Pandelani Investment Holdings (Pty) Ltd. 
124. Perennial Services (Pty) Ltd 
125. PHETHA PROFFESSIONAL SERVICES CC 
126. PM SPECIALIZED TRAINING SERVICES 
127. Pma Holdings (Pty ) Ltd. 
128. Power Rush Trading 170 Cc. 
129. Princetop Corporative Training (Pty) Ltd 
130. Progressive School Of Business And Engineering (Pty) 
131. Ptdev (Pty) Ltd 
132. Qabuka-Vuka Development Trading 
133. Reflections Development Institute 
134. REGIONAL EDUCARE COUNCIL 
135. Rlstp Training & Development (Pty) Ltd. 
136. Senelo Trading Cc 
137. SIBANYE GOLD ACADEMY PROPRIETARY LIMITED 
138. Simba Skills Consultants 
139. Simmek Holdings 
140. Siyakhula Trust Etd Institute Pty Ltd 
141. Smartmatta (Pty) Ltd 
142. South African Abet Development Agency Saada 
143. South African Corporate Training Association 
144. Spectrium 
145. Sulu Trading Pty Ltd 
146. Swaranang Management Consulting Cc 
147. Tasc Business Consulting And Training 
148. Technogirl Trust 
149. The College of Modern Montessori 
150. The Crimson Co Cc. 
151. The Green Affairs Consulting 
152. The Petit Pois Chef'S Academy 
153. Thembeni Skills Development Trading And Projects 
154. Thubelihle Graduate Institute 
155. Timothy Fasheun Group Enviromentors (Pty) Ltd 
156. Township Fire And Rescure (Pty) Ltd 
157. TPLR and Training Services (PTY) LTD 
158. Trainers without Borders 
159. Training At Work (Pty) Ltd 
160. Transafric Consulting Pty Ltd 
161. Tsebong Training Centre 
162. Tshwane Skills Training Centre 
163. TSK Projects(PTY)LTD 
164. Tuns Trading And Projects (Pty) Ltd 
165. Twin Peak Technologies 
166. Ukhamba Quality Skills 
167. Umbuso Training Services 
168. Umhlanga 
169. University Of Intellectual Excellence (Pty)Ltd 
170. University of Venda 
171. Ursivox Interactive Systems 
172. Venus Maintenance And Supply Services 
173. Vicmat Consultants 
174. Washa 2 Training & Projects 
175. Wbs Group 
176. West Coast TVET College 
177. Wildlife and Enviroment Society of South Africa 
178. Wongintuthuko Projects 
179. World Pace Development And Training Institute 
180. Xl At Consulting Cc 
181. Ya Hina Management Consulting And Projects 
182. YAB Business Solutions 
183. Yotha Personnel 



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.