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