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SOUTH AFRICAN QUALIFICATIONS AUTHORITY 
REGISTERED UNIT STANDARD: 

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. A4 Consultancy CC 
2. African Apex Apparel (Pty) Ltd 
3. Afrimat Construction Materials Holdings (Pty) Ltd 
4. Afrivet Training Services (Pty) Ltd 
5. Agrioperations Hub Pty Ltd 
6. Alpha Business Consultants 
7. Amabamba Recruitment 
8. Amaloba Horticultural Services 
9. Amangile Academy (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. Bantubanye Skills 
15. BARBERTON MINES (PTY) LTD 
16. Bikologix Projects 
17. Biofuels Business Incubators NPC 
18. BO Support Services CC 
19. Boikgantsho Consulting & Events 
20. BOKONI PLATINUM MINES (PTY) LTD 
21. Buena Vista Learning Academy 
22. Bumunhu Services Providers Cc 
23. Cedara College of Agriculture 
24. Central Bridge Trading 109 
25. Centre for Public Participation 
26. Cre8tion Projects 6 PTY LTD 
27. CTC College(PTY) LTD. 
28. Cumlaude Institute (PTY) Ltd 
29. Dean Institute Of Learning (Pty) Ltd 
30. Deloitte 
31. DEW CRISP PTY LTD 
32. Dihwai Food Cultural and Agricultural Services 
33. Ditirelo Skills Development Services 
34. Dlamini The Siba PTY LTD 
35. Eco-Culture 
36. Elective Training Institute Enterprise CC 
37. ELSENBURG AGRICULTURAL COLLEGE 
38. Elvis Koena Consulting (Pty) Ltd 
39. Environmental Leadership Academy 
40. ERGO BUSINESS DEVELOPMENT ACADEMY NPC 
41. Esayidi FET College - Central Office 
42. Escay Catering and other Services 
43. Essential Skills 
44. EXXARO COAL (PTY) LTD 
45. Farm for Africa Training and Development 
46. Food and Trees for Africa 
47. Forestcom 
48. Fort Cox Agricultural College 
49. FOSKOR (PTY) LTD 
50. GA Community Care Consultants 
51. Ghoenas Kraal Opleiding Sentrum 
52. Giant Alive Services 
53. Goldfields FET College 
54. Green Futures 
55. Green Gain Consulting (Pty)Ltd 
56. HARMONY GOLD MINING CO LTD 
57. Heedmorine Training 
58. Hlombe and Associates 
59. HLUVUKA TRAINING AND CONSULTING 
60. Hot To Go Training College and Services 
61. Icando 
62. Impact Plus Training Consultants 
63. IMPALA PLATINUM SERVICES LTD 
64. Independent Development Trust 
65. Integrated Waste and Recycling Services(IWARS) 
66. Interstate Clearing 092 (Pty) Ltd 
67. IQ Skills Academy (PTY) LTD. 
68. Iziko Capacity Building CC. 
69. Josmap Training Institute 
70. K-Leng Touch, Events and Skills Development 
71. KayDee Project Management Cc 
72. Kgakishe Trading and Projects (PTY) LTD 
73. Kgopane Trading Enterprise 
74. Kimbali Holdings 
75. KMK Training Services (PTY) Ltd 
76. Knowledge For Ever 
77. Kodi Traiding Enterprise 
78. Kwazulu Skills Academy 
79. Kwevhos Business Enterprise 
80. Lapa La Afrika Farming and Projects 
81. Leading Skills Online 
82. Leruo ke Matla Training and Enterprise Development Services 
83. Lesias Educational Services 
84. Longmore Training and Developen 
85. Lovedale TVET College 
86. Mabuya Amahle Trading 
87. Maile Consulting 
88. Maishamalema Development Training 
89. Mananthatshema Skills Dev. Centre 
90. Mangalani Business Enterprises 
91. Marang Women in Agric and Development 
92. MARS Business Consulting 
93. MashMP Holdings 
94. Mashphe Logistics Services 
95. Mathapuso Construction and Projects 
96. MATHOME TRAINING AND DEVELOPMENT (PTY) LTD 
97. Matiisetso Training and Consulting 
98. Matlharini Multi Centre Skills 
99. Matotomana Training & General Trading 
100. Mavco Engineering Pty Ltd 
101. Mcebo Technologies 
102. Mdaka Omnyama Trading and Projects 
103. Medu Skills Consultants 
104. Mementos Training Pty Ltd 
105. Mimosa Business Consultants 
106. MINTEK 
107. Mintirho Development Services 
108. MML Consulting CC. 
109. Mobile Agri Skills Development and Training NPC 
110. Mod-Mosh Projects and Consulting (PTY) LTD 
111. MODIKWA MINING PERSONNEL SERVICES PTY L TD 
112. Mogaladi Business Enterprise 
113. Mohlaje Solutions (Pty) Ltd 
114. Montshepetsa Bosui Farming & Training Cnt 
115. Mortarboard Training Solutions 
116. Morwa Agri-development cc 
117. Mphela Education Training and Development 
118. Mpontshe Training 
119. Mthashana FET College - Vryheid Campus 
120. MUHANGWENE DEVELOPMENT ENTERPRISE 
121. MURRAY & ROBERTS CEMENTATION (PTY)LTD 
122. Mvelo Consultant 
123. Nalengmokoni Investors (Pty) Ltd 
124. National Institute For The Deaf - NID 
125. NEDTEX73 
126. Neopeo Trading & Projects 
127. Nettcon SA 
128. New Heights 1082 Pty Ltd 
129. Nghano Training and Development Centre 
130. Ngwato Wa Mphela Agriculture Training Services 
131. Nkalebetja Agricultural Projects and Management services 
132. Nkangala Public FET College - Central Office 
133. NOBO Training and Development Services (Pty) LTD 
134. Nomsithi Trading 
135. Nophelo Training Centre 
136. NORTHAM PLATINUM LTD 
137. Novi General Services 
138. Nyankwavi Investment CC. 
139. Owen Sithole College of Agriculture 
140. P N K Management Services 
141. PALABORA COPPER (PTY) LTD 
142. Pandelani Investment Holdings (PTY) LTD. 
143. PERENNIAL SERVICES PTY LTD 
144. Phepha Consulting Services 
145. Phill Skills and Development Institute 
146. PMA Holdings (PTY ) LTD. 
147. POTCH - UTC (PTY) LTD 
148. Power Rush Trading 170 CC. 
149. Premier Agric (Pty) Ltd 
150. Princetop Corporative Training (Pty) Ltd 
151. Progressive Environmental Projects 
152. Progressive School of Business and Engineering (Pty) 
153. PTDEV (Pty) Ltd 
154. Qabuka-Vuka Development Trading 
155. Reflections Development Institute 
156. Remoshomong Trading Enterprise 
157. Retsogile Education and Training 
158. RLSTP Training & Development (PTY) LTD. 
159. SBJ Shadikamang Agriculture 
160. Scientific Roots (Pty) Ltd 
161. Sekhukhune FET College - Central Office 
162. Selipha Trading (Pty) Ltd 
163. Senelo Trading CC 
164. Setlakala Business Development 
165. Seza Bantu Rural Agricultural Projects 
166. SIBANYE GOLD ACADEMY PROPRIETARY LIMITED 
167. Silver Falls Scientific 
168. Simmek Holdings 
169. Siyafundisa I Africa 
170. Siyakhula Trust ETD Institute Pty Ltd 
171. Siyasanga Training Centre 
172. SmartMatta (Pty) Ltd 
173. South African ABET Development Agency SAADA 
174. South African Forestry Training College 
175. Suidwes Beleggings Eiendoms Beperk 
176. Sulu Trading PTY LTD 
177. SWARANANG MANAGEMENT CONSULTING CC 
178. Taletso FET College - Central Office 
179. Tasc Business Consulting and Training 
180. The Brokers Learning Centre 
181. The Crimson CO CC. 
182. The Petit Pois Chef's Academy 
183. The Skills Development Hub (Pty) Ltd 
184. Thebu Financial & Management Services 
185. Thembeni Skills Development Trading and Projects 
186. Thubelihle Graduate Institute 
187. Thuto Boshwa Skills Development Services 
188. Thutong Learning College 
189. Timothy Fasheun Group Enviromentors (Pty) Ltd 
190. Tinotsile Training and Development 
191. Tlatlana Events Solution and Communication 
192. TM Mashwara and Projects 
193. Tompi Seleka Agricultural College 
194. Township Fire and Rescure (Pty) Ltd 
195. TPN Training and Recruitment cc 
196. TRAIN THE NATION AND ASSOCIATES (PTY) LTD 
197. Training at Work (Pty) Ltd 
198. Transafric Consulting Pty Ltd 
199. Triple R Training Provider 
200. Tsebong Training Centre 
201. Tshenkeng's Consulting 
202. Tuns Trading and Projects (Pty) Ltd 
203. Twin Peak Technologies 
204. U AND G TRAINING (PTY) LTD 
205. Ukhamba Quality Skills 
206. Umfolozi FET College 
207. University of Venda 
208. Ursivox Interactive Systems 
209. Vari Holdings (Pty)Ltd 
210. VENETIA MINE 
211. Venus Maintenance and Supply Services 
212. VINE APPAREL (PTY)LTD 
213. Voyano Project Management 
214. Washa 2 Training & Projects 
215. Waterberg FET College - Central Office 
216. Westco Agri Training 
217. WESTERN CHROME MINES 
218. Wongintuthuko Projects 
219. Working Decisions Cc 
220. World Pace Development and Training Institute 
221. Ya Hina Management Consulting and projects 
222. Yangantle Trading 
223. 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.