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  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. CENTRE FOR EARLY CHILDHOOD DEVELOPMENT 
22. Changing Lives Community Development Training 
23. Cre8tion Projects 6 PTY LTD 
24. Cumlaude Institute (PTY) Ltd 
25. Dabulamanzi & Njabulo Ndaba Consulting cc 
26. Dee's Training (PTY) LTD 
27. Deloitte 
28. DEW CRISP PTY LTD 
29. Dihwai Food Cultural and Agricultural Services 
30. Dlamini The Siba PTY LTD 
31. ELSENBURG AGRICULTURAL COLLEGE 
32. Elvis Koena Consulting (Pty) Ltd 
33. ERGO BUSINESS DEVELOPMENT ACADEMY NPC 
34. Esayidi FET College - Central Office 
35. Escay Catering and other Services 
36. EXXARO COAL (PTY) LTD 
37. Farm for Africa Training and Development 
38. Food and Trees for Africa 
39. Fort Cox Agricultural College 
40. FOSKOR (PTY) LTD 
41. Furniture World Training Centre 
42. Future-Teacher (Pty) Ltd 
43. GA Community Care Consultants 
44. Ghoenas Kraal Opleiding Sentrum 
45. Goldfields FET College 
46. Goldfields TVET College 
47. Green Futures 
48. Greenrim Training 
49. HARMONY GOLD MINING CO LTD 
50. Headstart/ECD projects 
51. Heedmorine Training 
52. HLUVUKA TRAINING AND CONSULTING 
53. Hot To Go Training College and Services 
54. Impact Plus Training Consultants 
55. IMPALA PLATINUM SERVICES LTD 
56. INKWENKWEZI PRIVATE COLLEGE - SKILLS DEVELOPMENT cc 
57. Interstate Clearing 092 (Pty) Ltd 
58. IQ Skills Academy (PTY) LTD. 
59. Josmap Training Institute 
60. KayDee Project Management Cc 
61. Keletsong Community Training & Resource Centre 
62. Kelmik Training Centre (Pty) Ltd 
63. Kgopane Trading Enterprise 
64. Khululeka Community Education Centre 
65. Kimbali Holdings 
66. KMK Training Services (PTY) Ltd 
67. Knowledge For Ever 
68. KUMBA IRON ORE (SISHEN) 
69. Kwevhos Business Enterprise 
70. Legal Environment Safety & Health Requirements cc 
71. Leruo ke Matla Training and Enterprise Development Services 
72. LESEDI EDUCARE ASSOCIATION 
73. Longmore Training and Developen 
74. Lovedale TVET College 
75. MACCAUVLEI LEARNING ACADEMY (PTY) LTD 
76. Maishamalema Development Training 
77. Mananthatshema Skills Dev. Centre 
78. Marang Women in Agric and Development 
79. MARS Business Consulting 
80. Mathapuso Construction and Projects 
81. MATHOME TRAINING AND DEVELOPMENT (PTY) LTD 
82. Matlharini Multi Centre Skills 
83. Matotomana Training & General Trading 
84. Mcebo Technologies 
85. Mdaka Omnyama Trading and Projects 
86. Medu Skills Consultants 
87. MENTORNET (PTY) LTD 
88. MINTEK 
89. Mnambithi TVET College 
90. Mobile Agri Skills Development and Training NPC 
91. Modiehi Consulting & Projects (Pty) Ltd 
92. MODIKWA MINING PERSONNEL SERVICES PTY L TD 
93. Mogaladi Business Enterprise 
94. Montshepetsa Bosui Farming & Training Cnt 
95. Mortarboard Training Solutions 
96. Morwa Agri-development cc 
97. Mpontshe Training 
98. Mthashana FET College - Vryheid Campus 
99. MURRAY & ROBERTS CEMENTATION (PTY)LTD 
100. Mvelo Consultant 
101. MVIMBI BUSINESS ENTERPRISE 
102. National Institute For The Deaf - NID 
103. Ndoma Mathodi Trading Enterprise 
104. Neopeo Trading & Projects 
105. Networx for Career Development 
106. New Heights 1082 Pty Ltd 
107. Ngwato Wa Mphela Agriculture Training Services 
108. Nkalebetja Agricultural Projects and Management services 
109. Nkangala Public FET College - Central Office 
110. Nkinane Trading Enterprise 
111. Nophelo Training Centre 
112. NORTHAM PLATINUM LTD 
113. Novi General Services 
114. Owen Sithole College of Agriculture 
115. P N K Management Services 
116. PERENNIAL SERVICES PTY LTD 
117. Phepha Consulting Services 
118. Phill Skills and Development Institute 
119. Pineridge Training Centre 
120. Premier Agric (Pty) Ltd 
121. Progressive Environmental Projects 
122. Progressive School of Business and Engineering (Pty) 
123. QPD CONSULTANTS 
124. Redefined Skills Training & Development (Pty) Ltd 
125. Reflections Development Institute 
126. REGIONAL EDUCARE COUNCIL 
127. Remoshomong Trading Enterprise 
128. Retsogile Education and Training 
129. RICHARDS BAY MINING PTY LTD 
130. RLSTP Training & Development (PTY) LTD. 
131. SBJ Shadikamang Agriculture 
132. Scientific Roots (Pty) Ltd 
133. Sekhukhune FET College - Central Office 
134. Selipha Trading (Pty) Ltd 
135. SENZEKO EXECUTIVE RISK CC 
136. Setlakala Business Development 
137. Seza Bantu Rural Agricultural Projects 
138. SIBANYE GOLD ACADEMY PROPRIETARY LIMITED 
139. Silver Falls Scientific 
140. Simmek Holdings 
141. Siyafundisa I Africa 
142. Siyasanga Training Centre 
143. South African Forestry Training College 
144. SPS Consulting (Pty) Ltd 
145. STUDIO 05 HOUSE OF FASHION 
146. Suidwes Beleggings Eiendoms Beperk 
147. Taletso FET College - Central Office 
148. Tasc Business Consulting and Training 
149. Tebkhan Investments (Pty) Ltd 
150. The Brokers Learning Centre 
151. The College of Modern Montessori 
152. THE GMC GROUP PTY LTD 
153. The Skills Development Hub (Pty) Ltd 
154. THUNGELA OPERATIONS (PTY) LTD 
155. Thuto Boshwa Skills Development Services 
156. Thutong Learning College 
157. Timothy Fasheun Group Enviromentors (Pty) Ltd 
158. Tinotsile Training and Development 
159. Tlatlana Events Solution and Communication 
160. TM Mashwara and Projects 
161. Tompi Seleka Agricultural College 
162. TPN Training and Recruitment cc 
163. TRAIN THE NATION AND ASSOCIATES (PTY) LTD 
164. Transafric Consulting Pty Ltd 
165. Tripple R Training Provider 
166. Tshenkeng's Consulting 
167. U AND G TRAINING (PTY) LTD 
168. Ulandi (Lewena Lema) Business Communications 
169. Umfolozi FET College 
170. University of Venda 
171. Vari Holdings (Pty)Ltd 
172. VENETIA MINE 
173. VINE APPAREL (PTY)LTD 
174. Voyano Project Management 
175. VPK BUSINESS VENTURE C C 
176. Washa 2 Training & Projects 
177. Waterberg FET College - Central Office 
178. WEST COAST COLLEGE FET 
179. Westco Agri Training 
180. WESTERN CHROME MINES 
181. Wildlife and Enviroment Society of South Africa 
182. Working Decisions Cc 
183. 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.