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. AQUILA TRAINING 
9. Aranda Textile Mills Pty Ltd 
10. Arden School of Management (Pty) Ltd 
11. ASSMANG (PTY) LTD 
12. ASSMANG BEESHOEK MINE 
13. Assured Vocational Skills Institute (Pty) Ltd 
14. Avad Projects (Pty) Ltd 
15. Ayasaphe Trading cc 
16. Balemi Consulting Pty Ltd 
17. Bantubanye Skills 
18. Better beginning trading and projects pty ltd 
19. Bikologix Projects 
20. Biofuels Business Incubators NPC 
21. Bokamoso Competence (Pty) Ltd 
22. BOKONI PLATINUM MINES (PTY) LTD 
23. Bonenhle Investments 
24. Bontham Training & Agricultural Consultants 
25. BT Group of Companies (Pty) Ltd 
26. Btech 
27. Bumunhu Services Providers Cc 
28. Camblish Training Institute (Pty) Ltd 
29. CANDYS UNLIMITED COLLECTION Pty Ltd 
30. Cape Business & Engineering College (Pty) Ltd 
31. Cape Town Workbased Learning Academy 
32. Capricorn TVET College 
33. Cedara College of Agriculture 
34. CEDARS CONSULTANTS CC (Boksburg)(TP) 
35. Centre for Creative Education/Iziko La Bantu Be Afrika NPC 
36. Changing Women 
37. Circleway College 
38. CMO Logistics Pty Ltd 
39. Compass Academy of Learning 
40. CONCOR PROJECTS PTY LTD 
41. Cradle Stars Trading Enterprise 
42. Cradle Stars Trading Enterprise (Pty) Ltd 
43. Cre8tion Projects 6 PTY LTD 
44. CRK Designs (Pty) Ltd 
45. CTC College(PTY) LTD. 
46. Cumlaude Institute (PTY) Ltd 
47. Dee's Training (PTY) LTD 
48. Deloitte 
49. Dihwai Food Cultural and Agricultural Services 
50. Dinaka Business Management & Consulting 
51. DITEBOGO CONSULTANCY CC 
52. Dlabane Investment Holdings (Pty) Ltd 
53. Dlamini The Siba PTY LTD 
54. Do It Again Academy (Pty) Ltd 
55. Dr M Investments 
56. Duzi-Corp 56 
57. Eco-Culture 
58. Ekurhuleni Artisans & Skills Training Centre (Pty) Ltd 
59. Elective Training Institute Enterprise CC 
60. Elimofo Trading& Projects 
61. ELSENBURG AGRICULTURAL COLLEGE 
62. Elvis Koena Consulting (Pty) Ltd 
63. Esayidi FET College - Central Office 
64. Escay Catering and other Services 
65. Eskilz College (Pty) Ltd 
66. ETS Emergency Training Solutions (Pty) Ltd 
67. EXXARO COAL (PTY) LTD 
68. Faithworks Development Consultants (Pty) Ltd 
69. Falcon Business Institute (PTY 
70. FARISANANI MANAGEMENT SERVICES 
71. Farm for Africa Training and Development 
72. Fezile Fashion Skills Academy (Pty) Ltd 
73. Flavious Mareka TVET College 
74. Food and Trees for Africa 
75. Fort Cox Agricultural College 
76. Fundakahle Multi-Purpose Co-operative Limited 
77. Furniture World Training Centre 
78. Future Discovery Training Academy CC 
79. Future Dynamics Learning 
80. GA Community Care Consultants 
81. Gauteng City College 
82. Ghoenas Kraal Opleiding Sentrum 
83. Giant Alive Services 
84. GNS ENTERPRISE (PTY) LTD 
85. Goldfields FET College 
86. Grandstar Projects 
87. Green Earth Training & Development (Pty) Ltd 
88. Green Futures 
89. Greenrim Training 
90. HARMONY GOLD MINING CO LTD 
91. Heedmorine Training 
92. Hlombe and Associates 
93. HLUVUKA TRAINING AND CONSULTING 
94. Honey Cube Projects & Services (Pty) Ltd 
95. Hoseah Training and Manufacturing NPC 
96. Hot To Go Training College and Services 
97. I Care Resource Centre 
98. Ikamvelihle Youth Development (Pty) Ltd 
99. Imara Umbono Incorporated (Pty) Ltd 
100. Imbewu Development Institute (Pty) Ltd 
101. Impact Plus Training Consultants 
102. IMPALA PLATINUM SERVICES LTD 
103. Impela Trading cc 
104. In Time Industrial (Pty) Ltd 
105. INTERACTIVE TUTOR (PTY) LIMITED 
106. INTERMASIKO CC 
107. Interstate Clearing 092 (Pty) Ltd 
108. Intuthuko Yesizwe Community Organisation 
109. Inyathi Visions 
110. Isiphephelo Consultants 
111. Ithemba Lomphakathi Community Organisation 
112. Izintombizekhethelo (Pty) Ltd 
113. Jeppe College of Commerce and Computer Studies 
114. JMC TECHNICAL TRAINING (Bloemfontein)(TP) 
115. Josmap Training Institute 
116. kagisho Business Concepts (Pty) Ltd 
117. KayDee Project Management Cc 
118. Kelmik Training Centre (Pty) Ltd 
119. Kgopane Trading Enterprise 
120. Kimbali Holdings 
121. Kingdom Varsity College (Pty) Ltd 
122. KMK Training Services (PTY) Ltd 
123. Knoop Academy NPC 
124. Knowledge For Ever 
125. Kotton Wear (Pty) Ltd 
126. KUMBA IRON ORE (SISHEN) 
127. Kwamahlati Training Services cc 
128. La Gratitude Academy 
129. Legal Environment Safety & Health Requirements cc 
130. Leruo ke Matla Training and Enterprise Development Services 
131. Letaba TVET College 
132. LFS DESIGNS 
133. LLSM (Pty) Ltd 
134. Longata Consultant 
135. Longmore Training and Developen 
136. Lovedale Public TVET College 
137. Lucky Neo (Pty) Ltd 
138. Lwaziphezinhle (Pty) Ltd 
139. Madzivhandila Agricultural College 
140. Maishamalema Development Training 
141. Malitinne (Pty) Ltd 
142. Maluti TVET College 
143. Mamuhle Academy 
144. Mananthatshema Skills Dev. Centre 
145. MARS Business Consulting 
146. Matatiele Fashion Design Academy (Pty) Ltd 
147. Mathapuso Construction and Projects 
148. Matlharini Multi Centre Skills 
149. Matotomana Training & General Trading 
150. Meals on Wheels Community Services - South Africa 
151. Mearnsii Trading cc 
152. Medu Skills Consultants 
153. Mimosa Business Consultants 
154. Mind Magic Consulting 
155. Mintirho Development Services 
156. Mission Point Consulting 
157. Mlasimbi Catering Primary Co-operative Limited 
158. MML Consulting CC. 
159. Mnambithi TVET College 
160. Mobile Agri Skills Development and Training NPC 
161. Modiehi Consulting & Projects (Pty) Ltd 
162. MODIKWA MINING PERSONNEL SERVICES PTY L TD 
163. Mogaladi Business Enterprise 
164. Mohlaje Solutions (Pty) Ltd 
165. Morwa Agri-development cc 
166. Mphahle Consultancy (Pty) Ltd 
167. Mpontshe Training 
168. MUHANGWENE DEVELOPMENT ENTERPRISE 
169. MURRAY & ROBERTS CEMENTATION (PTY)LTD 
170. Mvelo Consultant 
171. Mwanga Training & Consulting (Pty) Ltd 
172. Nalengmokoni Investors (Pty) Ltd 
173. National Institute For The Deaf - NID 
174. NDIMASE TRADING 
175. Ndotha General Trading 
176. NEDTEX73 
177. Networx for Career Development 
178. New Heights 1082 
179. Ngaphakathi Investments 
180. Ngcebo Consulting (Pty) Ltd 
181. Nhlanzi Investments (Pty) Ltd 
182. Nkalebetja Agricultural Projects and Management services 
183. Nkangala Public FET College - Central Office 
184. Nkulungwane General Trader cc 
185. NOBO Training and Development Services (Pty) LTD 
186. Nolwazi Dev Centre (Pty) Ltd 
187. Nomzumbe Trading & Projects (Pty) Ltd 
188. Nophelo Training Centre 
189. NORTHAM PLATINUM LTD 
190. Nosino Projects (Pty) Ltd 
191. Novi General Services 
192. Ntuthuko Projects & Services 
193. Nurture-Nature Resources (Pty) Ltd 
194. Optimi Workplace 
195. Optimum Capacity (Pty) Ltd 
196. OTP 
197. Owen Sithole College of Agriculture 
198. P N K Management Services 
199. Pectosource (Pty) Ltd 
200. Penny Lane Fashion School (Pty) Ltd 
201. Phambile Skills Training (Pty) Ltd 
202. Phepha Consulting Services 
203. Phill Skills and Development Institute 
204. PMA Holdings (PTY ) LTD. 
205. Positive Thinking Consultants CC 
206. POTCH - UTC (PTY) LTD 
207. Practice Makes Perfect Training Centre 
208. Premier Agric (Pty) Ltd 
209. Princetop Corporative Training (Pty) Ltd 
210. Production Management Institute of Southern Africa (PMI) - Johannesburg 
211. PRODUCTION MANAGEMENT INSTITUTE SA PTY LTD (PORT ELIZABETH) 
212. Professional Development and Training Institute (Pty) Ltd 
213. Progressive Environmental Projects 
214. Progressive School of Business and Engineering (Pty) 
215. PTDEV (Pty) Ltd 
216. Qualfurn Training & Projects 
217. Re Tshepeng Holdings 
218. Redefined Skills Training & Development (Pty) Ltd 
219. Reflections Development Institute 
220. Rekopane Training Centre CC 
221. Retsogile Education and Training 
222. Rhodes University 
223. RJM Investments 
224. Royal Express 
225. RUBICON COMMUNICATIONS 
226. Sabela Learning Academy 
227. SBJ Shadikamang Agriculture 
228. Scientific Roots (Pty) Ltd 
229. Sedibeng TVET College 
230. Sekhukhune FET College - Central Office 
231. Selipha Trading (Pty) Ltd 
232. SENZEKO EXECUTIVE RISK CC 
233. Setlakala Business Development 
234. Sew Africa Training Centre 
235. Seza Bantu Rural Agricultural Projects 
236. Sibalwethu Consultants (Pty) Ltd 
237. SIBANYE GOLD ACADEMY PROPRIETARY LIMITED 
238. Sibonguthando Projects And Services Cc 
239. Silalele Consultants (Pty) Ltd 
240. Silungokuhle (Pty) Ltd 
241. Silver Falls Scientific 
242. Sinovuyolethu Trading (Pty) Ltd 
243. Siyafundisa I Africa 
244. Siyasanga Training Centre 
245. South African ABET Development Agency SAADA 
246. South African Corporate Training Association 
247. SOUTH AFRICAN FASHION DESIGNER AGENCY 
248. South African Forestry Training College 
249. Suidwes Beleggings Eiendoms Beperk 
250. Sunrise Skills Training 
251. Swift Skills Academy (SASOLBURG) (TP) 
252. Take Note Trading 227 cc 
253. Talent for Sewing 
254. Taletso FET College - Central Office 
255. Tasc Business Consulting and Training 
256. Tebkhan Investments (Pty) Ltd 
257. ThabileTrade 1054 cc 
258. The Brokers Learning Centre 
259. The Crimson CO CC. 
260. The Finishing College (Pty) Ltd 
261. The Institute of Fashion and Garment Technology (Pty) Ltd 
262. The Skills Development Hub (Pty) Ltd 
263. Thitha Training and Development Services 
264. Thubelihle Graduate Institute 
265. Thunderflex3 Pty (Ltd) 
266. Thuto Boshwa Skills Development Services 
267. Thuto Skills Development 
268. Thutong Learning College 
269. Thutopele Skills Institute 
270. Tinotsile Training and Development 
271. Tirhani SkillsTraining Pty Ltd 
272. Tlatlana Events Solution and Communication 
273. Tlhole Foundation (PTY) LTD 
274. TM Mashwara and Projects 
275. Tompi Seleka Agricultural College 
276. Tovani Traiding 299 
277. TPN Training and Recruitment cc 
278. Trade Call Investments Apparel (Pty) LTD 
279. Trade Call Investments Apparel (Pty) Ltd (Mobeni) 
280. TRAIN THE NATION AND ASSOCIATES (PTY) LTD 
281. Transafric Consulting Pty Ltd 
282. Tripple R Training Provider 
283. Try Easy Electrical Solutions 
284. Tshenkeng's Consulting 
285. Tshwane North College 
286. U AND G TRAINING (PTY) LTD 
287. Ubucubu Home Industries 
288. Ubuhle Bengcebo 
289. Udumo Training & Develoment (Pty) Ltd 
290. Umbuso Training Services 
291. Umfolozi FET College 
292. Umfolozi TVET College (Richards Bay) 
293. Umgano Foundation (NPC) 
294. Umlozi Skills Centre (Pty) Ltd 
295. Umnotho We Afrika Foundation NPC 
296. Umunotho Wealth Management Pty Ltd 
297. Unang Business Enterprise 
298. Uyabusisa Arts and Development Pty Ltd 
299. Value at Hand (Pty) Ltd 
300. Vari Holdings (Pty)Ltd 
301. VEB CELE & Associates (Pty) Ltd 
302. VENETIA MINE 
303. Vicmat Consultants 
304. Vijay Bhagwan Consultancy and Solutions cc 
305. VINE APPAREL (PTY)LTD 
306. Voyano Project Management 
307. VPK BUSINESS VENTURE C C 
308. Vuliqgondo Research & Manufacturing Centre 
309. Waterberg FET College - Central Office 
310. Westco Agri Training 
311. Western Cape Clothing and Textiles Service Centre 
312. Wilratty Consultants (Pty) Ltd 
313. Womens Leadership & Empowerment Initiative 
314. Working Decisions Cc 
315. World Pace Development & Training Institute (Pty) Ltd 
316. World Pace Development and Training Institute 
317. YAB Business Solutions (Pty)Ltd 
318. Yangantle Trading 
319. York Timbers Pty Ltd 
320. Zelpy 1382 (edms) Bpk 
321. 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.