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. Bumunhu Services Providers Cc 
26. Cape Peninsula University of Technology 
27. Capricon Training Consultants cc 
28. Cedara College of Agriculture 
29. CEMENTATION AFRICA (PTY) LTD 
30. Central Bridge Trading 109 
31. Chartered Institute Of Safety Management 
32. Clean Heat Academy (Pty) Ltd 
33. Compass Academy of Learning 
34. Cradle Stars Trading Enterprise 
35. Cre8tion Projects 6 PTY LTD 
36. Ctc College 
37. Cumlaude Institute (PTY) Ltd 
38. Cymbol Consulting(Pty) Ltd. 
39. Dean Institute Of Learning (Pty) Ltd 
40. Dee's Training (PTY) LTD 
41. Deloitte 
42. Dihwai Food Cultural and Agricultural Services 
43. Ditirelo Skills Development Services 
44. Dlamini The Siba PTY LTD 
45. Dynamic Sheq Solutions 
46. E Mali Outsourcing Cc 
47. East Cape Training Centre 
48. Ecoculture Training And Consultancy 
49. Edge Business School (Pty) Ltd 
50. Elangeni Consulting 
51. Elangeni Consulting (PTY) LTD 
52. Elective Training Institute Enterprise Cc 
53. ELSENBURG AGRICULTURAL COLLEGE 
54. Elvis Koena Consulting (Pty) Ltd 
55. Environmental Leadership Academy 
56. ENVOY PLANET CONSULTING AND PROJECTS (PTY) LTD 
57. ERGO BUSINESS DEVELOPMENT ACADEMY NPC 
58. Esayidi FET College - Central Office 
59. Escay Catering and other Services 
60. Eskilz College (Pty) Ltd 
61. Essential Skills 
62. EXXARO COAL (PTY) LTD 
63. Falcon Business Institute (Pty) Ltd 
64. Farm for Africa Training and Development 
65. Food and Trees for Africa 
66. Forestcom 
67. Fort Cox Agricultural College 
68. FOSKOR (PTY) LTD 
69. GA Community Care Consultants 
70. Ghoenas Kraal Opleiding Sentrum 
71. Giant Alive Group 
72. Globalmark 
73. Globalwise Training & Consulting (Pty) Ltd. 
74. Goldfields FET College 
75. Green Futures 
76. Green Gain Consulting (Pty)Ltd 
77. HARMONY GOLD MINING CO LTD 
78. Heavenly Button Trading Cc 
79. Heedmorine Training 
80. Hlolo Entle Training and Projects (Pty) Ltd 
81. Hlombe And Associates 
82. HLUVUKA TRAINING AND CONSULTING 
83. Hot To Go Training College and Services 
84. Icando 
85. Impact Plus Training Consultants 
86. IMPALA PLATINUM SERVICES LTD 
87. Independent Development Trust 
88. Institute For Local Government And Housing 
89. Integrated Waste And Recycling Services(Iwars) 
90. Interstate Clearing 092 (Pty) Ltd 
91. Isiphephelo Consultants 
92. IVANPLATS (PTY) LTD 
93. Iziko Capacity Building Cc. 
94. Josmap Training Institute 
95. Jrt3 Jobcreation Rehabilitation Through Training And Technology (Pty) Ltd 
96. K-Leng Touch, Events And Skills Development 
97. KayDee Project Management Cc 
98. Kenmab Training Centre 
99. Kgakishe Trading And Projects (Pty) Ltd 
100. Kgang-Kgolo Consulting 
101. Kgopane Trading Enterprise 
102. KHOSITHI TRAINING 
103. Khula Nonke Training & Development 
104. Khulani Skills Development Centre 
105. Kimbali Holdings 
106. KMK Training Services (PTY) Ltd 
107. Kn Business Solutions 
108. Knowledge For Ever 
109. Kodi Traiding Enterprise 
110. Kwazulu Skills Academy 
111. Lapa La Afrika Farming And Projects 
112. Leronsa Trading Enterprise 
113. Leruo ke Matla Training and Enterprise Development Services 
114. Lesias Educational Services 
115. Letlhokoa Management Services Cc 
116. Longmore Training and Developen 
117. Lovedale TVET College 
118. Mabuya Amahle Trading 
119. Madzivhandila Agricultural College 
120. Maile Consulting 
121. Maishamalema Development Training 
122. Malizana Projects CC 
123. Mamuhle Academy 
124. Mananthatshema Skills Dev. Centre 
125. Mangalani Business Enterprises 
126. Marcado Human Resources Strategies 
127. Mars Business Consulting 
128. Mashmp Holdings 
129. Mashphe Logistics Services 
130. Mathapuso Construction and Projects 
131. MATHOME TRAINING AND DEVELOPMENT (PTY) LTD 
132. Matiisetso Training And Consulting 
133. Matlharini Multi Centre Skills 
134. Matotomana Training & General Trading 
135. Mavco Engineering Pty Ltd 
136. Mcebo Technologies 
137. Mdaka Omnyama Trading And Projects 
138. Medu Skills Consultants 
139. Mementos Training Pty Ltd 
140. Milzet Holdings (Pty) Ltd 
141. Mimosa Business Consultants 
142. Mind Magic Consulting 
143. MINTEK 
144. Mintirho Development Services 
145. Mission Point Consulting 
146. Mml Consulting Cc. 
147. Mobile Agri Skills Development and Training NPC 
148. Mod-Mosh Projects And Consulting (Pty) Ltd 
149. MODIKWA MINING PERSONNEL SERVICES PTY L TD 
150. Mogaladi Business Enterprise 
151. Mohlaje Solutions (Pty) Ltd 
152. Mortarboard Training Solutions 
153. Morwa Agri-development cc 
154. Mphela Education Training And Development 
155. Mpontshe Training 
156. Muhangwene Development Enterprise 
157. Mvelo Consultant 
158. Nalengmokoni Investors (Pty) Ltd 
159. National Institute For The Deaf - NID 
160. Ndotha General Trading 
161. Nedtex73 
162. Neopeo Trading & Projects 
163. Netgrow Training Solutions 
164. Nettcon Sa 
165. Networx for Career Development 
166. New Heights 1082 Pty Ltd 
167. Nghano Training And Development Centre 
168. Nj & L Trading Enterprise Cc. 
169. Nkalebetja Agricultural Projects and Management services 
170. Nkangala Public FET College - Central Office 
171. Nkinane Trading Enterprise 
172. Nobo Training And Development Services (Pty) Ltd 
173. Nomsithi Trading 
174. Nophelo Training Centre 
175. NORTHAM PLATINUM LTD 
176. Novi General Services 
177. Nqowethu Trading 
178. Ns Global Academy 
179. Nyankwavi Investment Cc. 
180. Owen Sithole College of Agriculture 
181. P N K Management Services 
182. PALABORA COPPER (PTY) LTD 
183. Pandelani Investment Holdings (Pty) Ltd. 
184. Phepha Consulting Services 
185. PHETHA PROFFESSIONAL SERVICES CC 
186. Phill Skills and Development Institute 
187. PM SPECIALIZED TRAINING SERVICES 
188. Pma Holdings (Pty ) Ltd. 
189. Power Rush Trading 170 Cc. 
190. Princetop Corporative Training (Pty) Ltd 
191. Progressive Environmental Projects 
192. Progressive School Of Business And Engineering (Pty) 
193. Ptdev (Pty) Ltd 
194. Qabuka-Vuka Development Trading 
195. Reflections Development Institute 
196. Retsogile Education and Training 
197. RICHARDS BAY MINING PTY LTD 
198. Rlstp Training & Development (Pty) Ltd. 
199. RUSTENBURG PLATINUM MINES LTD 
200. SBJ Shadikamang Agriculture 
201. Scientific Roots (Pty) Ltd 
202. Sekhukhune FET College - Central Office 
203. Selipha Trading (Pty) Ltd 
204. Senelo Trading Cc 
205. SENZEKO EXECUTIVE RISK CC 
206. Setlakala Business Development 
207. Seza Bantu Rural Agricultural Projects 
208. SIBANYE GOLD ACADEMY PROPRIETARY LIMITED 
209. Silver Falls Scientific 
210. Simba Skills Consultants 
211. Simmek Holdings 
212. Siyafundisa I Africa 
213. Siyasanga Training Centre 
214. Smartmatta (Pty) Ltd 
215. South African Abet Development Agency Saada 
216. South African Corporate Training Association 
217. South African Forestry Training College 
218. Spectrium 
219. Suidwes Beleggings Eiendoms Beperk 
220. Sulu Trading Pty Ltd 
221. Swaranang Management Consulting Cc 
222. Taletso FET College - Central Office 
223. Tasc Business Consulting And Training 
224. Technogirl Trust 
225. The Brokers Learning Centre 
226. The Crimson Co Cc. 
227. The Green Affairs Consulting 
228. The Petit Pois Chef'S Academy 
229. The Skills Development Hub (Pty) Ltd 
230. Thembeni Skills Development Trading And Projects 
231. Thubelihle Graduate Institute 
232. Thuto Boshwa Skills Development Services 
233. Thutong Learning College 
234. Timothy Fasheun Group Enviromentors (Pty) Ltd 
235. Tinotsile Training and Development 
236. Tlatlana Events Solution and Communication 
237. TM Mashwara and Projects 
238. Tompi Seleka Agricultural College 
239. Township Fire And Rescure (Pty) Ltd 
240. TPLR and Training Services (PTY) LTD 
241. TPN Training and Recruitment cc 
242. TRAIN THE NATION AND ASSOCIATES (PTY) LTD 
243. Trainers without Borders 
244. Training At Work (Pty) Ltd 
245. Transafric Consulting Pty Ltd 
246. Triple R Training Provider 
247. Tsebong Training Centre 
248. Tshenkeng's Consulting 
249. Tshwane Skills Training Centre 
250. TSK Projects(PTY)LTD 
251. Tuns Trading And Projects (Pty) Ltd 
252. Twin Peak Technologies 
253. U AND G TRAINING (PTY) LTD 
254. Ukhamba Quality Skills 
255. Umbuso Training Services 
256. Umfolozi FET College 
257. Umhlanga 
258. University Of Intellectual Excellence (Pty)Ltd 
259. University of Venda 
260. Ursivox Interactive Systems 
261. Vari Holdings (Pty)Ltd 
262. VENETIA MINE 
263. Venus Maintenance And Supply Services 
264. Vicmat Consultants 
265. VINE APPAREL (PTY)LTD 
266. Voyano Project Management 
267. Washa 2 Training & Projects 
268. Waterberg FET College - Central Office 
269. Wbs Group 
270. Westco Agri Training 
271. WESTERN CHROME MINES 
272. Wildlife and Enviroment Society of South Africa 
273. Wongintuthuko Projects 
274. Working Decisions Cc 
275. World Pace Development And Training Institute 
276. Xl At Consulting Cc 
277. Ya Hina Management Consulting And Projects 
278. YAB Business Solutions 
279. Yangantle Trading 
280. 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.