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. African Apex Apparel (Pty) Ltd 
5. Afrimat Construction Materials Holdings (Pty) Ltd 
6. Agisanang SA Training 
7. Amabamba Recruitment 
8. Amaloba Horticultural Services 
9. Amangile Academy (Pty) Ltd 
10. Amusa Consulting 
11. ASSMANG (PTY) LTD 
12. ASSMANG BEESHOEK MINE 
13. Avax Sa 481 Cc. T/A Mandisa Development Services 
14. Balemi Consulting Pty Ltd 
15. Bantubanye Skills 
16. BARBERTON MINES (PTY) LTD 
17. Bikologix Projects 
18. Biofuels Business Incubators NPC 
19. Bo Support Services Cc 
20. Boikgantsho Consulting & Events 
21. BOKONI PLATINUM MINES (PTY) LTD 
22. BOLAND COLLEGE 
23. Bridge Building Opex Solutions 
24. Bright Ideas Training 
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. Cre8tion Projects 6 PTY LTD 
35. Ctc College 
36. Cumlaude Institute (PTY) Ltd 
37. Cymbol Consulting(Pty) Ltd. 
38. Dean Institute Of Learning (Pty) Ltd 
39. Dee's Training (PTY) LTD 
40. Deloitte 
41. Dihwai Food Cultural and Agricultural Services 
42. Ditirelo Skills Development Services 
43. Dlamini The Siba PTY LTD 
44. Dynamic Sheq Solutions 
45. E Mali Outsourcing Cc 
46. East Cape Training Centre 
47. Ecoculture Training And Consultancy 
48. Edge Business School (Pty) Ltd 
49. Elangeni Consulting 
50. Elangeni Consulting (PTY) LTD 
51. Elective Training Institute Enterprise Cc 
52. ELSENBURG AGRICULTURAL COLLEGE 
53. Elvis Koena Consulting (Pty) Ltd 
54. Environmental Leadership Academy 
55. ENVOY PLANET CONSULTING AND PROJECTS (PTY) LTD 
56. ERGO BUSINESS DEVELOPMENT ACADEMY NPC 
57. Esayidi FET College - Central Office 
58. Escay Catering and other Services 
59. Eskilz College (Pty) Ltd 
60. Essential Skills 
61. EXXARO COAL (PTY) LTD 
62. Falcon Business Institute (Pty) Ltd 
63. Farm for Africa Training and Development 
64. Food and Trees for Africa 
65. Forestcom 
66. Fort Cox Agricultural College 
67. FOSKOR (PTY) LTD 
68. Ghoenas Kraal Opleiding Sentrum 
69. Giant Alive Group 
70. Globalmark 
71. Globalwise Training & Consulting (Pty) Ltd. 
72. Goldfields FET College 
73. Green Futures 
74. Green Gain Consulting (Pty)Ltd 
75. HARMONY GOLD MINING CO LTD 
76. Heavenly Button Trading Cc 
77. Heedmorine Training 
78. Hlolo Entle Training and Projects (Pty) Ltd 
79. Hlombe And Associates 
80. HLUVUKA TRAINING AND CONSULTING 
81. Hot To Go Training College and Services 
82. Icando 
83. Impact Plus Training Consultants 
84. IMPALA PLATINUM SERVICES LTD 
85. Independent Development Trust 
86. Institute For Local Government And Housing 
87. Integrated Waste And Recycling Services(Iwars) 
88. Interstate Clearing 092 (Pty) Ltd 
89. Isiphephelo Consultants 
90. IVANPLATS (PTY) LTD 
91. Iziko Capacity Building Cc. 
92. Josmap Training Institute 
93. Jrt3 Jobcreation Rehabilitation Through Training And Technology (Pty) Ltd 
94. K-Leng Touch, Events And Skills Development 
95. KayDee Project Management Cc 
96. Kenmab Training Centre 
97. Kgakishe Trading And Projects (Pty) Ltd 
98. Kgang-Kgolo Consulting 
99. Kgopane Trading Enterprise 
100. KHOSITHI TRAINING 
101. Khula Nonke Training & Development 
102. Khulani Skills Development Centre 
103. Kimbali Holdings 
104. KMK Training Services (PTY) Ltd 
105. Kn Business Solutions 
106. Knowledge For Ever 
107. Kodi Traiding Enterprise 
108. Kwazulu Skills Academy 
109. Lapa La Afrika Farming And Projects 
110. Leronsa Trading Enterprise 
111. Leruo ke Matla Training and Enterprise Development Services 
112. Lesias Educational Services 
113. Letlhokoa Management Services Cc 
114. Longmore Training and Developen 
115. Lovedale TVET College 
116. Mabuya Amahle Trading 
117. Madzivhandila Agricultural College 
118. Maile Consulting 
119. Maishamalema Development Training 
120. Malizana Projects CC 
121. Mamuhle Academy 
122. Mananthatshema Skills Dev. Centre 
123. Mangalani Business Enterprises 
124. Marcado Human Resources Strategies 
125. Mars Business Consulting 
126. Mashmp Holdings 
127. Mashphe Logistics Services 
128. Mathapuso Construction and Projects 
129. MATHOME TRAINING AND DEVELOPMENT (PTY) LTD 
130. Matiisetso Training And Consulting 
131. Matlharini Multi Centre Skills 
132. Matotomana Training & General Trading 
133. Mavco Engineering Pty Ltd 
134. Mcebo Technologies 
135. Mdaka Omnyama Trading And Projects 
136. Medu Skills Consultants 
137. Mementos Training Pty Ltd 
138. Milzet Holdings (Pty) Ltd 
139. Mimosa Business Consultants 
140. Mind Magic Consulting 
141. MINTEK 
142. Mintirho Development Services 
143. Mission Point Consulting 
144. Mml Consulting Cc. 
145. Mobile Agri Skills Development and Training NPC 
146. Mod-Mosh Projects And Consulting (Pty) Ltd 
147. MODIKWA MINING PERSONNEL SERVICES PTY L TD 
148. Mogaladi Business Enterprise 
149. Mohlaje Solutions (Pty) Ltd 
150. Mortarboard Training Solutions 
151. Morwa Agri-development cc 
152. Mphela Education Training And Development 
153. Mpontshe Training 
154. Muhangwene Development Enterprise 
155. Mvelo Consultant 
156. Nalengmokoni Investors (Pty) Ltd 
157. National Institute For The Deaf - NID 
158. Ndotha General Trading 
159. Nedtex73 
160. Neopeo Trading & Projects 
161. Netgrow Training Solutions 
162. Nettcon Sa 
163. Networx for Career Development 
164. New Heights 1082 Pty Ltd 
165. Nghano Training And Development Centre 
166. Nj & L Trading Enterprise Cc. 
167. Nkalebetja Agricultural Projects and Management services 
168. Nkangala Public FET College - Central Office 
169. Nkinane Trading Enterprise 
170. Nobo Training And Development Services (Pty) Ltd 
171. Nomsithi Trading 
172. Nophelo Training Centre 
173. NORTHAM PLATINUM LTD 
174. Novi General Services 
175. Nqowethu Trading 
176. Ns Global Academy 
177. Nyankwavi Investment Cc. 
178. Owen Sithole College of Agriculture 
179. P N K Management Services 
180. PALABORA COPPER (PTY) LTD 
181. Pandelani Investment Holdings (Pty) Ltd. 
182. Phepha Consulting Services 
183. PHETHA PROFFESSIONAL SERVICES CC 
184. Phill Skills and Development Institute 
185. PM SPECIALIZED TRAINING SERVICES 
186. Pma Holdings (Pty ) Ltd. 
187. Power Rush Trading 170 Cc. 
188. Princetop Corporative Training (Pty) Ltd 
189. Progressive Environmental Projects 
190. Progressive School Of Business And Engineering (Pty) 
191. Ptdev (Pty) Ltd 
192. Qabuka-Vuka Development Trading 
193. Reflections Development Institute 
194. Retsogile Education and Training 
195. RICHARDS BAY MINING PTY LTD 
196. Rlstp Training & Development (Pty) Ltd. 
197. RUSTENBURG PLATINUM MINES LTD 
198. SBJ Shadikamang Agriculture 
199. Scientific Roots (Pty) Ltd 
200. Sekhukhune FET College - Central Office 
201. Selipha Trading (Pty) Ltd 
202. Senelo Trading Cc 
203. SENZEKO EXECUTIVE RISK CC 
204. Setlakala Business Development 
205. Seza Bantu Rural Agricultural Projects 
206. SIBANYE GOLD ACADEMY PROPRIETARY LIMITED 
207. Silver Falls Scientific 
208. Simba Skills Consultants 
209. Simmek Holdings 
210. Siyafundisa I Africa 
211. Siyasanga Training Centre 
212. Smartmatta (Pty) Ltd 
213. South African Abet Development Agency Saada 
214. South African Corporate Training Association 
215. South African Forestry Training College 
216. Spectrium 
217. Suidwes Beleggings Eiendoms Beperk 
218. Sulu Trading Pty Ltd 
219. Swaranang Management Consulting Cc 
220. Taletso FET College - Central Office 
221. Tasc Business Consulting And Training 
222. Technogirl Trust 
223. The Brokers Learning Centre 
224. The Crimson Co Cc. 
225. The Green Affairs Consulting 
226. The Petit Pois Chef'S Academy 
227. Thembeni Skills Development Trading And Projects 
228. Thubelihle Graduate Institute 
229. Thuto Boshwa Skills Development Services 
230. Thutong Learning College 
231. Timothy Fasheun Group Enviromentors (Pty) Ltd 
232. Tinotsile Training and Development 
233. Tlatlana Events Solution and Communication 
234. TM Mashwara and Projects 
235. Tompi Seleka Agricultural College 
236. Township Fire And Rescure (Pty) Ltd 
237. TPLR and Training Services (PTY) LTD 
238. TPN Training and Recruitment cc 
239. TRAIN THE NATION AND ASSOCIATES (PTY) LTD 
240. Trainers without Borders 
241. Training At Work (Pty) Ltd 
242. Transafric Consulting Pty Ltd 
243. Triple R Training Provider 
244. Tsebong Training Centre 
245. Tshenkeng's Consulting 
246. Tshwane Skills Training Centre 
247. TSK Projects(PTY)LTD 
248. Tuns Trading And Projects (Pty) Ltd 
249. Twin Peak Technologies 
250. U AND G TRAINING (PTY) LTD 
251. Ukhamba Quality Skills 
252. Umbuso Training Services 
253. Umfolozi FET College 
254. Umhlanga 
255. University Of Intellectual Excellence (Pty)Ltd 
256. University of Venda 
257. Ursivox Interactive Systems 
258. VENETIA MINE 
259. Venus Maintenance And Supply Services 
260. Vicmat Consultants 
261. VINE APPAREL (PTY)LTD 
262. Voyano Project Management 
263. Washa 2 Training & Projects 
264. Waterberg FET College - Central Office 
265. Wbs Group 
266. Westco Agri Training 
267. WESTERN CHROME MINES 
268. Wildlife and Enviroment Society of South Africa 
269. Wongintuthuko Projects 
270. Working Decisions Cc 
271. World Pace Development And Training Institute 
272. Xl At Consulting Cc 
273. Ya Hina Management Consulting And Projects 
274. YAB Business Solutions 
275. Yangantle Trading 
276. 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.