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: 

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 
REGISTRATION STATUS REGISTRATION START DATE REGISTRATION END DATE SAQA DECISION NUMBER
Reregistered  2018-07-01  2023-06-30  SAQA 06120/18 
LAST DATE FOR ENROLMENT LAST DATE FOR ACHIEVEMENT
2024-06-30   2027-06-30  

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  Reregistered  2023-06-30  HW SETA 
Fundamental  50584   General Education and Training Certificate: Clothing Manufacturing Processes  Level 1  NQF Level 01  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  Reregistered  2023-06-30  CETA 
Fundamental  49552   General Education and Training Certificate: Environmental Practice  Level 1  NQF Level 01  Reregistered  2023-06-30  LG SETA 
Fundamental  50225   General Education and Training Certificate: General Forestry  Level 1  NQF Level 01  Reregistered  2023-06-30  FPMSETA 
Fundamental  49668   General Education and Training Certificate: Horticulture  Level 1  NQF Level 01  Reregistered  2023-06-30  AgriSETA 
Fundamental  57937   General Education and Training Certificate: Hygiene and Cleaning  Level 1  NQF Level 01  Reregistered  2023-06-30  SERVICES 
Fundamental  49583   General Education and Training Certificate: Poultry Processing  Level 1  NQF Level 01  Reregistered  2023-06-30  AgriSETA 
Fundamental  49580   General Education and Training Certificate: Poultry Production  Level 1  NQF Level 01  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  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  Reregistered  2023-06-30  SERVICES 
Fundamental  49082   GETC: Wood Products Processing  Level 1  NQF Level 01  Reregistered  2023-06-30  FPMSETA 
Fundamental  23253   National Certificate (GETC): Manufacturing, Engineering and Related Activities  Level 1  NQF Level 01  Reregistered  2023-06-30  MERSETA 
Fundamental  48970   National Certificate: Animal Production  Level 1  NQF Level 01  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  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  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  Reregistered  2023-06-30  AgriSETA 
Fundamental  48972   National Certificate: Plant Production  Level 1  NQF Level 01  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. 1 Classie Africa 
2. A Z Community Services 
3. African Apex Apparel (Pty) Ltd 
4. AL Development Services cc 
5. Alpha Business Consultants 
6. Amaloba Horticultural Services 
7. Aniathu Trading (Pty) Ltd 
8. Aranda Textile Mills Pty Ltd 
9. Arden School of Management (Pty) Ltd 
10. ASSMANG (PTY) LTD 
11. ASSMANG BEESHOEK MINE 
12. Assured Vocational Skills Institute (Pty) Ltd 
13. Avad Projects (Pty) Ltd 
14. Ayasaphe Trading cc 
15. Balemi Consulting Pty Ltd 
16. Bantubanye Skills 
17. Better beginning trading and projects pty ltd 
18. Bikologix Projects 
19. Biofuels Business Incubators NPC 
20. Bokamoso Competence (Pty) Ltd 
21. BOKONI PLATINUM MINES (PTY) LTD 
22. Bonenhle Investments 
23. Bontham Training & Agricultural Consultants 
24. BT Group of Companies (Pty) Ltd 
25. Btech 
26. Bumunhu Services Providers Cc 
27. Camblish Training Institute (Pty) Ltd 
28. CANDYS UNLIMITED COLLECTION Pty Ltd 
29. Cape Business & Engineering College (Pty) Ltd 
30. Cape Town Workbased Learning Academy 
31. Capricorn TVET College 
32. Cedara College of Agriculture 
33. CEDARS CONSULTANTS CC (Boksburg)(TP) 
34. Centre for Creative Education/Iziko La Bantu Be Afrika NPC 
35. Changing Women 
36. Circleway College 
37. CMO Logistics Pty Ltd 
38. Compass Academy of Learning 
39. CONCOR PROJECTS PTY LTD 
40. Cradle Stars Trading Enterprise 
41. Cradle Stars Trading Enterprise (Pty) Ltd 
42. Cre8tion Projects 6 PTY LTD 
43. CRK Designs (Pty) Ltd 
44. Cumlaude Institute (PTY) Ltd 
45. Dee's Training (PTY) LTD 
46. Deloitte 
47. Dihwai Food Cultural and Agricultural Services 
48. Dinaka Business Management & Consulting 
49. DITEBOGO CONSULTANCY CC 
50. Dlamini The Siba PTY LTD 
51. Do It Again Academy (Pty) Ltd 
52. Dr M Investments 
53. Duzi-Corp 56 
54. Eco-Culture 
55. Ekurhuleni Artisans & Skills Training Centre (Pty) Ltd 
56. Elective Training Institute Enterprise CC 
57. Elimofo Trading& Projects 
58. ELSENBURG AGRICULTURAL COLLEGE 
59. Elvis Koena Consulting (Pty) Ltd 
60. Esayidi FET College - Central Office 
61. Escay Catering and other Services 
62. Eskilz College (Pty) Ltd 
63. EXXARO COAL (PTY) LTD 
64. Faithworks Development Consultants (Pty) Ltd 
65. Falcon Business Institute (PTY 
66. FARISANANI MANAGEMENT SERVICES 
67. Farm for Africa Training and Development 
68. Fezile Fashion Skills Academy (Pty) Ltd 
69. Flavious Mareka TVET College 
70. Food and Trees for Africa 
71. Fort Cox Agricultural College 
72. Fundakahle Multi-Purpose Co-operative Limited 
73. Furniture World Training Centre 
74. Future Discovery Training Academy CC 
75. Future Dynamics Learning 
76. GA Community Care Consultants 
77. Gauteng City College 
78. Ghoenas Kraal Opleiding Sentrum 
79. Giant Alive Services 
80. GNS ENTERPRISE (PTY) LTD 
81. Goldfields FET College 
82. Grandstar Projects 
83. Green Earth Training & Development (Pty) Ltd 
84. Green Futures 
85. Greenrim Training 
86. HARMONY GOLD MINING CO LTD 
87. Heedmorine Training 
88. Hlombe and Associates 
89. HLUVUKA TRAINING AND CONSULTING 
90. Honey Cube Projects & Services (Pty) Ltd 
91. Hoseah Training and Manufacturing NPC 
92. Hot To Go Training College and Services 
93. I Care Resource Centre 
94. Ikamvelihle Youth Development (Pty) Ltd 
95. Imara Umbono Incorporated (Pty) Ltd 
96. Imbewu Development Institute (Pty) Ltd 
97. Impact Plus Training Consultants 
98. IMPALA PLATINUM SERVICES LTD 
99. Impela Trading cc 
100. In Time Industrial (Pty) Ltd 
101. INTERACTIVE TUTOR (PTY) LIMITED 
102. INTERMASIKO CC 
103. Interstate Clearing 092 (Pty) Ltd 
104. Intuthuko Yesizwe Community Organisation 
105. Inyathi Visions 
106. Isiphephelo Consultants 
107. Ithemba Lomphakathi Community Organisation 
108. Izintombizekhethelo (Pty) Ltd 
109. JMC TECHNICAL TRAINING (Bloemfontein)(TP) 
110. Josmap Training Institute 
111. kagisho Business Concepts (Pty) Ltd 
112. KayDee Project Management Cc 
113. Kelmik Training Centre (Pty) Ltd 
114. Kgopane Trading Enterprise 
115. Kimbali Holdings 
116. Kingdom Varsity College (Pty) Ltd 
117. KMK Training Services (PTY) Ltd 
118. Knoop Academy NPC 
119. Knowledge For Ever 
120. Kotton Wear (Pty) Ltd 
121. KUMBA IRON ORE (SISHEN) 
122. Kwamahlati Training Services cc 
123. La Gratitude Academy 
124. Legal Environment Safety & Health Requirements cc 
125. Leruo ke Matla Training and Enterprise Development Services 
126. Letaba TVET College 
127. LFS DESIGNS 
128. LLSM (Pty) Ltd 
129. Longata Consultant 
130. Longmore Training and Developen 
131. Lovedale Public TVET College 
132. Lucky Neo (Pty) Ltd 
133. Madzivhandila Agricultural College 
134. Maishamalema Development Training 
135. Malitinne (Pty) Ltd 
136. Maluti TVET College 
137. Mamuhle Academy 
138. Mananthatshema Skills Dev. Centre 
139. MARS Business Consulting 
140. Matatiele Fashion Design Academy (Pty) Ltd 
141. Mathapuso Construction and Projects 
142. Matlharini Multi Centre Skills 
143. Matotomana Training & General Trading 
144. Meals on Wheels Community Services - South Africa 
145. Mearnsii Trading cc 
146. Medu Skills Consultants 
147. Mimosa Business Consultants 
148. Mind Magic Consulting 
149. Mintirho Development Services 
150. Mission Point Consulting 
151. Mlasimbi Catering Primary Co-operative Limited 
152. MML Consulting CC. 
153. Mnambithi TVET College 
154. Mobile Agri Skills Development and Training NPC 
155. Modiehi Consulting & Projects (Pty) Ltd 
156. MODIKWA MINING PERSONNEL SERVICES PTY L TD 
157. Mogaladi Business Enterprise 
158. Mohlaje Solutions (Pty) Ltd 
159. Morwa Agri-development cc 
160. Mphahle Consultancy (Pty) Ltd 
161. Mpontshe Training 
162. MUHANGWENE DEVELOPMENT ENTERPRISE 
163. MURRAY & ROBERTS CEMENTATION (PTY)LTD 
164. Mvelo Consultant 
165. Mwanga Training & Consulting (Pty) Ltd 
166. Nalengmokoni Investors (Pty) Ltd 
167. National Institute For The Deaf - NID 
168. NDIMASE TRADING 
169. Ndotha General Trading 
170. NEDTEX73 
171. New Heights 1082 
172. Ngaphakathi Investments 
173. Ngcebo Consulting (Pty) Ltd 
174. Nhlanzi Investments (Pty) Ltd 
175. Nkalebetja Agricultural Projects and Management services 
176. Nkangala Public FET College - Central Office 
177. Nkulungwane General Trader cc 
178. NOBO Training and Development Services (Pty) LTD 
179. Nolwazi Dev Centre (Pty) Ltd 
180. Nomzumbe Trading & Projects (Pty) Ltd 
181. Nophelo Training Centre 
182. NORTHAM PLATINUM LTD 
183. Nosino Projects (Pty) Ltd 
184. Novi General Services 
185. Ntuthuko Projects & Services 
186. Nurture-Nature Resources (Pty) Ltd 
187. Optimi Workplace 
188. Optimum Capacity (Pty) Ltd 
189. Owen Sithole College of Agriculture 
190. P N K Management Services 
191. Pectosource (Pty) Ltd 
192. Penny Lane Fashion School (Pty) Ltd 
193. Phambile Skills Training (Pty) Ltd 
194. Phepha Consulting Services 
195. Phill Skills and Development Institute 
196. PMA Holdings (PTY ) LTD. 
197. Positive Thinking Consultants CC 
198. Practice Makes Perfect Training Centre 
199. Premier Agric (Pty) Ltd 
200. Princetop Corporative Training (Pty) Ltd 
201. Production Management Institute of Southern Africa (PMI) - Johannesburg 
202. PRODUCTION MANAGEMENT INSTITUTE SA PTY LTD (PORT ELIZABETH) 
203. Progressive Environmental Projects 
204. Progressive School of Business and Engineering (Pty) 
205. PTDEV (Pty) Ltd 
206. Qualfurn Training & Projects 
207. Re Tshepeng Holdings 
208. Redefined Skills Training & Development (Pty) Ltd 
209. Reflections Development Institute 
210. Rekopane Training Centre CC 
211. Retsogile Education and Training 
212. Rhodes University 
213. RJM Investments 
214. Royal Express 
215. Sabela Learning Academy 
216. SBJ Shadikamang Agriculture 
217. Scientific Roots (Pty) Ltd 
218. Sedibeng TVET College 
219. Sekhukhune FET College - Central Office 
220. Selipha Trading (Pty) Ltd 
221. SENZEKO EXECUTIVE RISK CC 
222. Setlakala Business Development 
223. Sew Africa Training Centre 
224. Seza Bantu Rural Agricultural Projects 
225. Sibalwethu Consultants (Pty) Ltd 
226. SIBANYE GOLD ACADEMY PROPRIETARY LIMITED 
227. Sibonguthando Projects And Services Cc 
228. Silalele Consultants (Pty) Ltd 
229. Silungokuhle (Pty) Ltd 
230. Silver Falls Scientific 
231. Sinovuyolethu Trading (Pty) Ltd 
232. Siyafundisa I Africa 
233. Siyasanga Training Centre 
234. South African ABET Development Agency SAADA 
235. South African Corporate Training Association 
236. SOUTH AFRICAN FASHION DESIGNER AGENCY 
237. South African Forestry Training College 
238. Suidwes Beleggings Eiendoms Beperk 
239. Sunrise Skills Training 
240. Swift Skills Academy (SASOLBURG) (TP) 
241. Take Note Trading 227 cc 
242. Talent for Sewing 
243. Taletso FET College - Central Office 
244. Tasc Business Consulting and Training 
245. Tebkhan Investments (Pty) Ltd 
246. ThabileTrade 1054 cc 
247. The Brokers Learning Centre 
248. The Crimson CO CC. 
249. The Finishing College (Pty) Ltd 
250. The Institute of Fashion and Garment Technology (Pty) Ltd 
251. The Skills Development Hub (Pty) Ltd 
252. Thitha Training and Development Services 
253. Thubelihle Graduate Institute 
254. Thunderflex3 Pty (Ltd) 
255. Thuto Boshwa Skills Development Services 
256. Thuto Skills Development 
257. Thutong Learning College 
258. Thutopele Skills Institute 
259. Tinotsile Training and Development 
260. Tirhani SkillsTraining Pty Ltd 
261. Tlatlana Events Solution and Communication 
262. Tlhole Foundation (PTY) LTD 
263. TM Mashwara and Projects 
264. Tompi Seleka Agricultural College 
265. Tovani Traiding 299 
266. TPN Training and Recruitment cc 
267. Trade Call Investments Apparel (Pty) LTD 
268. Trade Call Investments Apparel (Pty) Ltd (Mobeni) 
269. TRAIN THE NATION AND ASSOCIATES (PTY) LTD 
270. Transafric Consulting Pty Ltd 
271. Tripple R Training Provider 
272. Try Easy Electrical Solutions 
273. Tshenkeng's Consulting 
274. Tshwane North College 
275. U AND G TRAINING (PTY) LTD 
276. Ubucubu Home Industries 
277. Ubuhle Bengcebo 
278. Udumo Training & Develoment (Pty) Ltd 
279. Umbuso Training Services 
280. Umfolozi FET College 
281. Umfolozi TVET College (Richards Bay) 
282. Umgano Foundation (NPC) 
283. Umlozi Skills Centre (Pty) Ltd 
284. Umnotho We Afrika Foundation NPC 
285. Umunotho Wealth Management Pty Ltd 
286. Unang Business Enterprise 
287. Uyabusisa Arts and Development Pty Ltd 
288. Value at Hand (Pty) Ltd 
289. Vari Holdings (Pty)Ltd 
290. VEB CELE & Associates (Pty) Ltd 
291. VENETIA MINE 
292. Vicmat Consultants 
293. Vijay Bhagwan Consultancy and Solutions cc 
294. VINE APPAREL (PTY)LTD 
295. Voyano Project Management 
296. VPK BUSINESS VENTURE C C 
297. Vuliqgondo Research & Manufacturing Centre 
298. Waterberg FET College - Central Office 
299. Westco Agri Training 
300. Western Cape Clothing and Textiles Service Centre 
301. Wilratty Consultants (Pty) Ltd 
302. Womens Leadership & Empowerment Initiative 
303. Working Decisions Cc 
304. World Pace Development & Training Institute (Pty) Ltd 
305. World Pace Development and Training Institute 
306. YAB Business Solutions (Pty)Ltd 
307. Yangantle Trading 
308. York Timbers Pty Ltd 
309. Zelpy 1382 (edms) Bpk 
310. ZUCRO PROJECT CC 



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.