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: 

Describe and represent objects and the environment in terms of shape, space, time and motion 
SAQA US ID UNIT STANDARD TITLE
7463  Describe and represent objects and the environment in terms of shape, space, time and motion 
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  2 
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:

Describe and represent the position and change in position of an object in space; and
Illustrate changes in size and shape of the appearance of objects as a result of changes in orientation. 

LEARNING ASSUMED TO BE IN PLACE AND RECOGNITION OF PRIOR LEARNING 
The following learning at ABET Numeracy level 3 is assumed to be in place:

Describe, draw, analyse and construct planar shapes and patterns, and spatial objects;
Describe, interpret and represent the environment geometrically;
Apply concepts of lines of sight, views and perspectives in drawing, pictures and photographs. 

UNIT STANDARD OUTCOME HEADER 
Describe and represent the position and change in 

Specific Outcomes and Assessment Criteria: 

SPECIFIC OUTCOME 1 
Describe and represent the position and change in position of an object in space. 
OUTCOME RANGE 
Words, rough sketches and abstract representation on a Cartesian plane. 

ASSESSMENT CRITERIA 

ASSESSMENT CRITERION 1 
1. The positions of objects are described in relation to each other using graphs and sketches and written or verbal descriptions. 

ASSESSMENT CRITERION 2 
2. The positions of objects are represented correctly on a Cartesian plane. 

ASSESSMENT CRITERION 3 
3. The change of position of objects in terms of the relationship between space and time is described. 

ASSESSMENT CRITERION 4 
4. Tessellations are identified. 

SPECIFIC OUTCOME 2 
Illustrate changes in size & shape of appearance of objects as result of changes in orientation. 
OUTCOME NOTES 
Illustrate changes in size and shape of the appearance of objects as a result of changes in orientation. 

ASSESSMENT CRITERIA 

ASSESSMENT CRITERION 1 
1. The perception of the changes in an object is described from different observational points. 
ASSESSMENT CRITERION RANGE 
3-dimensional objects and 2-dimensional representations of 3-dimensional objects.
 

ASSESSMENT CRITERION 2 
2. 3-dimensional objects are represented in 2 dimensions in such a way that the size and shape of the object are correctly represented. 

ASSESSMENT CRITERION 3 
3. The relationships between surface area and volume are described. 



Critical Cross-field Outcomes (CCFO): 

UNIT STANDARD CCFO IDENTIFYING 
Identify and solve mathematical problems in which responses display that responsible decisions using critical and creative thinking have been made. 

UNIT STANDARD CCFO ORGANISING 
Organise and manage oneself and one`s activities responsibly and effectively. 

UNIT STANDARD CCFO COLLECTING 
Collect, analyse, organise and critically evaluate mathematical information. 

UNIT STANDARD CCFO COMMUNICATING 
Communicate effectively mathematical symbols. 

UNIT STANDARD CCFO DEMONSTRATING 
Understand the world as a set of related systems by recognising that problem-solving contexts do not exist in isolation. 

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  23114   Basic Certificate: Early Childhood Development  Level 1  NQF Level 01  Passed the End Date -
Status was "Reregistered" 		 2009-01-10  ETDP SETA 
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  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  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  24296   National Certificate: Construction: Installation of Floor Coverings  Level 1  NQF Level 01  Passed the End Date -
Status was "Reregistered" 		 2023-06-30  CETA 
Fundamental  22977   National Certificate: Construction: Roadworks  Level 1  NQF Level 01  Passed the End Date -
Status was "Registered" 		 2005-12-04  CETA 
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  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. Afrimat Construction Materials Holdings (Pty) Ltd 
5. Agisanang SA Training 
6. Amabamba Recruitment 
7. Amaloba Horticultural Services 
8. Amangile Academy (Pty) Ltd 
9. Amusa Consulting 
10. ASSMANG (PTY) LTD 
11. ASSMANG BEESHOEK MINE 
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. BOLAND COLLEGE 
22. Bridge Building Opex Solutions 
23. Bright Ideas Training 
24. Bumunhu Services Providers Cc 
25. Cape Peninsula University of Technology 
26. Capricon Training Consultants cc 
27. Cedara College of Agriculture 
28. CEMENTATION AFRICA (PTY) LTD 
29. Central Bridge Trading 109 
30. Chartered Institute Of Safety Management 
31. Clean Heat Academy (Pty) Ltd 
32. Compass Academy of Learning 
33. Cradle Stars Trading Enterprise 
34. Ctc College 
35. Cymbol Consulting(Pty) Ltd. 
36. Dean Institute Of Learning (Pty) Ltd 
37. Dee's Training (PTY) LTD 
38. Deloitte 
39. Dihwai Food Cultural and Agricultural Services 
40. Ditirelo Skills Development Services 
41. Dynamic Sheq Solutions 
42. E Mali Outsourcing Cc 
43. East Cape Training Centre 
44. Ecoculture Training And Consultancy 
45. Edge Business School (Pty) Ltd 
46. Elangeni Consulting 
47. Elangeni Consulting (PTY) LTD 
48. Elective Training Institute Enterprise Cc 
49. ELSENBURG AGRICULTURAL COLLEGE 
50. Elvis Koena Consulting (Pty) Ltd 
51. Environmental Leadership Academy 
52. ENVOY PLANET CONSULTING AND PROJECTS (PTY) LTD 
53. ERGO BUSINESS DEVELOPMENT ACADEMY NPC 
54. Escay Catering and other Services 
55. Eskilz College (Pty) Ltd 
56. Essential Skills 
57. EXXARO COAL (PTY) LTD 
58. Falcon Business Institute (Pty) Ltd 
59. Farm for Africa Training and Development 
60. Finito Training And Consultancy 
61. Food and Trees for Africa 
62. Forestcom 
63. Fort Cox Agricultural College 
64. FOSKOR (PTY) LTD 
65. GA Community Care Consultants 
66. Ghoenas Kraal Opleiding Sentrum 
67. Giant Alive Group 
68. Globalmark 
69. Globalwise Training & Consulting (Pty) Ltd. 
70. Green Futures 
71. Green Gain Consulting (Pty)Ltd 
72. HARMONY GOLD MINING CO LTD 
73. Heavenly Button Trading Cc 
74. Heedmorine Training 
75. Hlolo Entle Training and Projects (Pty) Ltd 
76. Hlombe And Associates 
77. Hot To Go Training College and Services 
78. Icando 
79. Impact Plus Training Consultants 
80. IMPALA PLATINUM SERVICES LTD 
81. Independent Development Trust 
82. Institute For Local Government And Housing 
83. Integrated Waste And Recycling Services(Iwars) 
84. Interstate Clearing 092 (Pty) Ltd 
85. Isiphephelo Consultants 
86. IVANPLATS (PTY) LTD 
87. Iziko Capacity Building Cc. 
88. Josmap Training Institute 
89. Jrt3 Jobcreation Rehabilitation Through Training And Technology (Pty) Ltd 
90. K-Leng Touch, Events And Skills Development 
91. KayDee Project Management Cc 
92. Kenmab Training Centre 
93. Kgakishe Trading And Projects (Pty) Ltd 
94. Kgang-Kgolo Consulting 
95. Kgopane Trading Enterprise 
96. KHOSITHI TRAINING 
97. Khula Nonke Training & Development 
98. Khulani Skills Development Centre 
99. Kimbali Holdings 
100. KMK Training Services (PTY) Ltd 
101. Kn Business Solutions 
102. Knowledge For Ever 
103. Kodi Traiding Enterprise 
104. Kwazulu Skills Academy 
105. Lapa La Afrika Farming And Projects 
106. Lee And Spirit Training And Development Enterprise 
107. Leronsa Trading Enterprise 
108. Leruo ke Matla Training and Enterprise Development Services 
109. Lesias Educational Services 
110. Letlhokoa Management Services Cc 
111. Longmore Training and Developen 
112. Lovedale TVET College 
113. Mabuya Amahle Trading 
114. Madzivhandila Agricultural College 
115. Maile Consulting 
116. Maishamalema Development Training 
117. Malizana Projects CC 
118. Mamuhle Academy 
119. Mananthatshema Skills Dev. Centre 
120. Mangalani Business Enterprises 
121. MANZIMANDE TRADING AND PROJECTS 
122. Marcado Human Resources Strategies 
123. Mars Business Consulting 
124. Mashmp Holdings 
125. Mashphe Logistics Services 
126. Mathapuso Construction and Projects 
127. MATHOME TRAINING AND DEVELOPMENT (PTY) LTD 
128. Matiisetso Training And Consulting 
129. Matlharini Multi Centre Skills 
130. Matotomana Training & General Trading 
131. Mavco Engineering Pty Ltd 
132. MBD CONSULTING 
133. Mcebo Technologies 
134. Mdaka Omnyama Trading And Projects 
135. Medu Skills Consultants 
136. Mementos Consulting Pty Ltd 
137. Milzet Holdings (Pty) Ltd 
138. Mimosa Business Consultants 
139. Mind Magic Consulting 
140. MINTEK 
141. Mintirho Development Services 
142. Mission Point Consulting 
143. Mml Consulting Cc. 
144. Mobile Agri Skills Development and Training NPC 
145. Mod-Mosh Projects And Consulting (Pty) Ltd 
146. MODIKWA MINING PERSONNEL SERVICES PTY L TD 
147. Mogaladi Business Enterprise 
148. Mohlaje Solutions (Pty) Ltd 
149. Mortarboard Training Solutions 
150. Morwa Agri-development cc 
151. Mphela Education Training And Development 
152. Muhangwene Development Enterprise 
153. Mvelo Consultant 
154. Nalengmokoni Investors (Pty) Ltd 
155. National Institute For The Deaf - NID 
156. Ndotha General Trading 
157. Nedtex73 
158. Neopeo Trading & Projects 
159. Netgrow Training Solutions 
160. Nettcon Sa 
161. Networx for Career Development 
162. New Heights 1082 Pty Ltd 
163. Nghano Training And Development Centre 
164. Nj & L Trading Enterprise Cc. 
165. Nkalebetja Agricultural Projects and Management services 
166. Nkinane Trading Enterprise 
167. Nobo Training And Development Services (Pty) Ltd 
168. Nomsithi Trading 
169. Nophelo Training Centre 
170. NORTHAM PLATINUM LTD 
171. Novi General Services 
172. Nqowethu Trading 
173. Ns Global Academy 
174. Nyankwavi Investment Cc. 
175. P N K Management Services 
176. PALABORA COPPER (PTY) LTD 
177. Pandelani Investment Holdings (Pty) Ltd. 
178. Phepha Consulting Services 
179. PHETHA PROFFESSIONAL SERVICES CC 
180. Phill Skills and Development Institute 
181. PM SPECIALIZED TRAINING SERVICES 
182. Pma Holdings (Pty ) Ltd. 
183. Power Rush Trading 170 Cc. 
184. Princetop Corporative Training (Pty) Ltd 
185. Progressive Environmental Projects 
186. Progressive School Of Business And Engineering (Pty) 
187. Ptdev (Pty) Ltd 
188. Qabuka-Vuka Development Trading 
189. Reflections Development Institute 
190. Retsogile Education and Training 
191. RICHARDS BAY MINING PTY LTD 
192. Rlstp Training & Development (Pty) Ltd. 
193. RUSTENBURG PLATINUM MINES LTD 
194. SBJ Shadikamang Agriculture 
195. Scientific Roots (Pty) Ltd 
196. Sekhukhune FET College - Central Office 
197. Selipha Trading (Pty) Ltd 
198. Senelo Trading Cc 
199. SENZEKO EXECUTIVE RISK CC 
200. Setlakala Business Development 
201. Seza Bantu Rural Agricultural Projects 
202. SIBANYE GOLD ACADEMY PROPRIETARY LIMITED 
203. Silver Falls Scientific 
204. Simba Skills Consultants 
205. Simmek Holdings 
206. Siyafundisa I Africa 
207. Siyasanga Training Centre 
208. Smartmatta (Pty) Ltd 
209. South African Abet Development Agency Saada 
210. South African Corporate Training Association 
211. Spectrium 
212. Suidwes Beleggings Eiendoms Beperk 
213. Sulu Trading Pty Ltd 
214. Swaranang Management Consulting Cc 
215. Tasc Business Consulting And Training 
216. Technogirl Trust 
217. The Crimson Co Cc. 
218. The Green Affairs Consulting 
219. The Petit Pois Chef'S Academy 
220. The Skills Development Hub (Pty) Ltd 
221. Thembeni Skills Development Trading And Projects 
222. Thubelihle Graduate Institute 
223. Thuto Boshwa Skills Development Services 
224. Thutong Learning College 
225. Thutopele Skills Institute 
226. Timothy Fasheun Group Enviromentors (Pty) Ltd 
227. Tinotsile Training and Development 
228. Tlatlana Events Solution and Communication 
229. TM Mashwara and Projects 
230. Tompi Seleka Agricultural College 
231. Township Fire And Rescure (Pty) Ltd 
232. TPLR and Training Services (PTY) LTD 
233. TPN Training and Recruitment cc 
234. TRAIN THE NATION AND ASSOCIATES (PTY) LTD 
235. Trainers without Borders 
236. Training At Work (Pty) Ltd 
237. Transafric Consulting Pty Ltd 
238. Triple R Training Provider 
239. Tsebong Training Centre 
240. Tshenkeng's Consulting 
241. Tshwane Skills Training Centre 
242. TSK Projects(PTY)LTD 
243. Tuns Trading And Projects (Pty) Ltd 
244. Twin Peak Technologies 
245. Ukhamba Quality Skills 
246. Umbuso Training Services 
247. Umhlanga 
248. University Of Intellectual Excellence (Pty)Ltd 
249. University of Venda 
250. Ursivox Interactive Systems 
251. Vari Holdings (Pty)Ltd 
252. VENETIA MINE 
253. Venus Maintenance And Supply Services 
254. Vicmat Consultants 
255. Voyano Project Management 
256. Washa 2 Training & Projects 
257. Wbs Group 
258. Westco Agri Training 
259. WESTERN CHROME MINES 
260. Wildlife and Enviroment Society of South Africa 
261. Wongintuthuko Projects 
262. Working Decisions Cc 
263. World Pace Development And Training Institute 
264. Xl At Consulting Cc 
265. Ya Hina Management Consulting And Projects 
266. YAB Business Solutions 
267. Yotha Personnel 
268. Zwide Ka- Langa Dynamics 


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.