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. Ctc College 
35. Cumlaude Institute (PTY) Ltd 
36. Cymbol Consulting(Pty) Ltd. 
37. Dean Institute Of Learning (Pty) Ltd 
38. Dee's Training (PTY) LTD 
39. Deloitte 
40. Dihwai Food Cultural and Agricultural Services 
41. Ditirelo Skills Development Services 
42. Dlamini The Siba PTY LTD 
43. Dynamic Sheq Solutions 
44. E Mali Outsourcing Cc 
45. East Cape Training Centre 
46. Ecoculture Training And Consultancy 
47. Edge Business School (Pty) Ltd 
48. Elangeni Consulting 
49. Elangeni Consulting (PTY) LTD 
50. Elective Training Institute Enterprise Cc 
51. ELSENBURG AGRICULTURAL COLLEGE 
52. Elvis Koena Consulting (Pty) Ltd 
53. Environmental Leadership Academy 
54. ENVOY PLANET CONSULTING AND PROJECTS (PTY) LTD 
55. ERGO BUSINESS DEVELOPMENT ACADEMY NPC 
56. Esayidi FET College - Central Office 
57. Escay Catering and other Services 
58. Eskilz College (Pty) Ltd 
59. Essential Skills 
60. EXXARO COAL (PTY) LTD 
61. Falcon Business Institute (Pty) Ltd 
62. Farm for Africa Training and Development 
63. Food and Trees for Africa 
64. Forestcom 
65. Fort Cox Agricultural College 
66. FOSKOR (PTY) LTD 
67. Ghoenas Kraal Opleiding Sentrum 
68. Giant Alive Group 
69. Globalmark 
70. Globalwise Training & Consulting (Pty) Ltd. 
71. Goldfields FET College 
72. Green Futures 
73. Green Gain Consulting (Pty)Ltd 
74. HARMONY GOLD MINING CO LTD 
75. Heavenly Button Trading Cc 
76. Heedmorine Training 
77. Hlolo Entle Training and Projects (Pty) Ltd 
78. Hlombe And Associates 
79. HLUVUKA TRAINING AND CONSULTING 
80. Hot To Go Training College and Services 
81. Icando 
82. Impact Plus Training Consultants 
83. IMPALA PLATINUM SERVICES LTD 
84. Independent Development Trust 
85. Institute For Local Government And Housing 
86. Integrated Waste And Recycling Services(Iwars) 
87. Interstate Clearing 092 (Pty) Ltd 
88. Isiphephelo Consultants 
89. IVANPLATS (PTY) LTD 
90. Iziko Capacity Building Cc. 
91. Josmap Training Institute 
92. Jrt3 Jobcreation Rehabilitation Through Training And Technology (Pty) Ltd 
93. K-Leng Touch, Events And Skills Development 
94. KayDee Project Management Cc 
95. Kenmab Training Centre 
96. Kgakishe Trading And Projects (Pty) Ltd 
97. Kgang-Kgolo Consulting 
98. Kgopane Trading Enterprise 
99. KHOSITHI TRAINING 
100. Khula Nonke Training & Development 
101. Khulani Skills Development Centre 
102. Kimbali Holdings 
103. KMK Training Services (PTY) Ltd 
104. Kn Business Solutions 
105. Knowledge For Ever 
106. Kodi Traiding Enterprise 
107. Kwazulu Skills Academy 
108. Lapa La Afrika Farming And Projects 
109. Leronsa Trading Enterprise 
110. Leruo ke Matla Training and Enterprise Development Services 
111. Lesias Educational Services 
112. Letlhokoa Management Services Cc 
113. Longmore Training and Developen 
114. Lovedale TVET College 
115. Mabuya Amahle Trading 
116. Madzivhandila Agricultural College 
117. Maile Consulting 
118. Maishamalema Development Training 
119. Malizana Projects CC 
120. Mamuhle Academy 
121. Mananthatshema Skills Dev. Centre 
122. Mangalani Business Enterprises 
123. Marcado Human Resources Strategies 
124. Mars Business Consulting 
125. Mashmp Holdings 
126. Mashphe Logistics Services 
127. Mathapuso Construction and Projects 
128. MATHOME TRAINING AND DEVELOPMENT (PTY) LTD 
129. Matiisetso Training And Consulting 
130. Matlharini Multi Centre Skills 
131. Matotomana Training & General Trading 
132. Mavco Engineering Pty Ltd 
133. Mcebo Technologies 
134. Mdaka Omnyama Trading And Projects 
135. Medu Skills Consultants 
136. Mementos Training 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. Mpontshe Training 
153. Muhangwene Development Enterprise 
154. Mvelo Consultant 
155. Nalengmokoni Investors (Pty) Ltd 
156. National Institute For The Deaf - NID 
157. Ndotha General Trading 
158. Nedtex73 
159. Neopeo Trading & Projects 
160. Netgrow Training Solutions 
161. Nettcon Sa 
162. Networx for Career Development 
163. New Heights 1082 Pty Ltd 
164. Nghano Training And Development Centre 
165. Nj & L Trading Enterprise Cc. 
166. Nkalebetja Agricultural Projects and Management services 
167. Nkangala Public FET College - Central Office 
168. Nkinane Trading Enterprise 
169. Nobo Training And Development Services (Pty) Ltd 
170. Nomsithi Trading 
171. Nophelo Training Centre 
172. NORTHAM PLATINUM LTD 
173. Novi General Services 
174. Nqowethu Trading 
175. Ns Global Academy 
176. Nyankwavi Investment Cc. 
177. Owen Sithole College of Agriculture 
178. P N K Management Services 
179. PALABORA COPPER (PTY) LTD 
180. Pandelani Investment Holdings (Pty) Ltd. 
181. Phepha Consulting Services 
182. PHETHA PROFFESSIONAL SERVICES CC 
183. Phill Skills and Development Institute 
184. PM SPECIALIZED TRAINING SERVICES 
185. Pma Holdings (Pty ) Ltd. 
186. Power Rush Trading 170 Cc. 
187. Princetop Corporative Training (Pty) Ltd 
188. Progressive Environmental Projects 
189. Progressive School Of Business And Engineering (Pty) 
190. Ptdev (Pty) Ltd 
191. Qabuka-Vuka Development Trading 
192. Reflections Development Institute 
193. Retsogile Education and Training 
194. RICHARDS BAY MINING PTY LTD 
195. Rlstp Training & Development (Pty) Ltd. 
196. RUSTENBURG PLATINUM MINES LTD 
197. SBJ Shadikamang Agriculture 
198. Scientific Roots (Pty) Ltd 
199. Sekhukhune FET College - Central Office 
200. Selipha Trading (Pty) Ltd 
201. Senelo Trading Cc 
202. SENZEKO EXECUTIVE RISK CC 
203. Setlakala Business Development 
204. Seza Bantu Rural Agricultural Projects 
205. SIBANYE GOLD ACADEMY PROPRIETARY LIMITED 
206. Silver Falls Scientific 
207. Simba Skills Consultants 
208. Simmek Holdings 
209. Siyafundisa I Africa 
210. Siyasanga Training Centre 
211. Smartmatta (Pty) Ltd 
212. South African Abet Development Agency Saada 
213. South African Corporate Training Association 
214. South African Forestry Training College 
215. Spectrium 
216. Suidwes Beleggings Eiendoms Beperk 
217. Sulu Trading Pty Ltd 
218. Swaranang Management Consulting Cc 
219. Taletso FET College - Central Office 
220. Tasc Business Consulting And Training 
221. Technogirl Trust 
222. The Brokers Learning Centre 
223. The Crimson Co Cc. 
224. The Green Affairs Consulting 
225. The Petit Pois Chef'S Academy 
226. Thembeni Skills Development Trading And Projects 
227. Thubelihle Graduate Institute 
228. Thuto Boshwa Skills Development Services 
229. Thutong Learning College 
230. Timothy Fasheun Group Enviromentors (Pty) Ltd 
231. Tinotsile Training and Development 
232. Tlatlana Events Solution and Communication 
233. TM Mashwara and Projects 
234. Tompi Seleka Agricultural College 
235. Township Fire And Rescure (Pty) Ltd 
236. TPLR and Training Services (PTY) LTD 
237. TPN Training and Recruitment cc 
238. TRAIN THE NATION AND ASSOCIATES (PTY) LTD 
239. Trainers without Borders 
240. Training At Work (Pty) Ltd 
241. Transafric Consulting Pty Ltd 
242. Triple R Training Provider 
243. Tsebong Training Centre 
244. Tshenkeng's Consulting 
245. Tshwane Skills Training Centre 
246. TSK Projects(PTY)LTD 
247. Tuns Trading And Projects (Pty) Ltd 
248. Twin Peak Technologies 
249. U AND G TRAINING (PTY) LTD 
250. Ukhamba Quality Skills 
251. Umbuso Training Services 
252. Umfolozi FET College 
253. Umhlanga 
254. University Of Intellectual Excellence (Pty)Ltd 
255. University of Venda 
256. Ursivox Interactive Systems 
257. VENETIA MINE 
258. Venus Maintenance And Supply Services 
259. Vicmat Consultants 
260. VINE APPAREL (PTY)LTD 
261. Voyano Project Management 
262. Washa 2 Training & Projects 
263. Waterberg FET College - Central Office 
264. Wbs Group 
265. Westco Agri Training 
266. WESTERN CHROME MINES 
267. Wildlife and Enviroment Society of South Africa 
268. Wongintuthuko Projects 
269. Working Decisions Cc 
270. World Pace Development And Training Institute 
271. Xl At Consulting Cc 
272. Ya Hina Management Consulting And Projects 
273. YAB Business Solutions 
274. Yangantle Trading 
275. 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.