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
2028-06-30   2031-06-30  

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. Agisanang SA Training 
5. Amabamba Recruitment 
6. Amaloba Horticultural Services 
7. Amangile Academy (Pty) Ltd 
8. Amusa Consulting 
9. Avax Sa 481 Cc. T/A Mandisa Development Services 
10. Balemi Consulting Pty Ltd 
11. Bantubanye Skills 
12. Bikologix Projects 
13. Biofuels Business Incubators NPC 
14. Bo Support Services Cc 
15. Boikgantsho Consulting & Events 
16. BOLAND COLLEGE 
17. Bridge Building Opex Solutions 
18. Bright Ideas Training 
19. Bumunhu Services Providers Cc 
20. Cape Peninsula University of Technology 
21. Capricon Training Consultants cc 
22. Cedara College of Agriculture 
23. CEMENTATION AFRICA (PTY) LTD 
24. Central Bridge Trading 109 
25. Chartered Institute Of Safety Management 
26. Clean Heat Academy (Pty) Ltd 
27. Compass Academy of Learning 
28. Cradle Stars Trading Enterprise 
29. Ctc College 
30. Cymbol Consulting(Pty) Ltd. 
31. Dean Institute Of Learning (Pty) Ltd 
32. Dee's Training (PTY) LTD 
33. Deloitte 
34. Dihwai Food Cultural and Agricultural Services 
35. Ditirelo Skills Development Services 
36. Dynamic Sheq Solutions 
37. E Mali Outsourcing Cc 
38. East Cape Training Centre 
39. Ecoculture Training And Consultancy 
40. Edge Business School (Pty) Ltd 
41. Elangeni Consulting 
42. Elangeni Consulting (PTY) LTD 
43. Elective Training Institute Enterprise Cc 
44. ELSENBURG AGRICULTURAL COLLEGE 
45. Elvis Koena Consulting (Pty) Ltd 
46. Environmental Leadership Academy 
47. ENVOY PLANET CONSULTING AND PROJECTS (PTY) LTD 
48. Escay Catering and other Services 
49. Eskilz College (Pty) Ltd 
50. Essential Skills 
51. Falcon Business Institute (Pty) Ltd 
52. Farm for Africa Training and Development 
53. Finito Training And Consultancy 
54. Food and Trees for Africa 
55. Forestcom 
56. Fort Cox Agricultural College 
57. GA Community Care Consultants 
58. Ghoenas Kraal Opleiding Sentrum 
59. Giant Alive Group 
60. Globalmark 
61. Globalwise Training & Consulting (Pty) Ltd. 
62. Green Futures 
63. Green Gain Consulting (Pty)Ltd 
64. Heavenly Button Trading Cc 
65. Heedmorine Training 
66. Hlolo Entle Training and Projects (Pty) Ltd 
67. Hlombe And Associates 
68. Hot To Go Training College and Services 
69. Icando 
70. Impact Plus Training Consultants 
71. Independent Development Trust 
72. Institute For Local Government And Housing 
73. Integrated Waste And Recycling Services(Iwars) 
74. Interstate Clearing 092 (Pty) Ltd 
75. Isiphephelo Consultants 
76. Iziko Capacity Building Cc. 
77. Josmap Training Institute 
78. Jrt3 Jobcreation Rehabilitation Through Training And Technology (Pty) Ltd 
79. K-Leng Touch, Events And Skills Development 
80. KayDee Project Management Cc 
81. Kenmab Training Centre 
82. Kgakishe Trading And Projects (Pty) Ltd 
83. Kgang-Kgolo Consulting 
84. Kgopane Trading Enterprise 
85. KHOSITHI TRAINING 
86. Khula Nonke Training & Development 
87. Khulani Skills Development Centre 
88. Kimbali Holdings 
89. KMK Training Services (PTY) Ltd 
90. Kn Business Solutions 
91. Knowledge For Ever 
92. Kodi Traiding Enterprise 
93. Kwazulu Skills Academy 
94. Lapa La Afrika Farming And Projects 
95. Lee And Spirit Training And Development Enterprise 
96. Leronsa Trading Enterprise 
97. Leruo ke Matla Training and Enterprise Development Services 
98. Lesias Educational Services 
99. Letlhokoa Management Services Cc 
100. Longmore Training and Developen 
101. Lovedale TVET College 
102. Mabuya Amahle Trading 
103. Madzivhandila Agricultural College 
104. Maile Consulting 
105. Maishamalema Development Training 
106. Malizana Projects CC 
107. Mamuhle Academy 
108. Mananthatshema Skills Dev. Centre 
109. Mangalani Business Enterprises 
110. MANZIMANDE TRADING AND PROJECTS 
111. Marcado Human Resources Strategies 
112. Mars Business Consulting 
113. Mashmp Holdings 
114. Mashphe Logistics Services 
115. Mathapuso Construction and Projects 
116. Matiisetso Training And Consulting 
117. Matlharini Multi Centre Skills 
118. Matotomana Training & General Trading 
119. Mavco Engineering Pty Ltd 
120. MBD CONSULTING 
121. Mcebo Technologies 
122. Mdaka Omnyama Trading And Projects 
123. Medu Skills Consultants 
124. Mementos Consulting Pty Ltd 
125. Milzet Holdings (Pty) Ltd 
126. Mimosa Business Consultants 
127. Mind Magic Consulting 
128. Mintirho Development Services 
129. Mission Point Consulting 
130. Mml Consulting Cc. 
131. Mobile Agri Skills Development and Training NPC 
132. Mod-Mosh Projects And Consulting (Pty) Ltd 
133. Mogaladi Business Enterprise 
134. Mohlaje Solutions (Pty) Ltd 
135. Mortarboard Training Solutions 
136. Morwa Agri-development cc 
137. Mphela Education Training And Development 
138. Muhangwene Development Enterprise 
139. Mvelo Consultant 
140. Nalengmokoni Investors (Pty) Ltd 
141. National Institute For The Deaf - NID 
142. Ndotha General Trading 
143. Nedtex73 
144. Neopeo Trading & Projects 
145. Netgrow Training Solutions 
146. Nettcon Sa 
147. Networx for Career Development 
148. New Heights 1082 Pty Ltd 
149. Nghano Training And Development Centre 
150. Nj & L Trading Enterprise Cc. 
151. Nkalebetja Agricultural Projects and Management services 
152. Nkinane Trading Enterprise 
153. Nobo Training And Development Services (Pty) Ltd 
154. Nomsithi Trading 
155. Nophelo Training Centre 
156. Novi General Services 
157. Nqowethu Trading 
158. Ns Global Academy 
159. Nyankwavi Investment Cc. 
160. P N K Management Services 
161. Pandelani Investment Holdings (Pty) Ltd. 
162. Phepha Consulting Services 
163. PHETHA PROFFESSIONAL SERVICES CC 
164. Phill Skills and Development Institute 
165. PM SPECIALIZED TRAINING SERVICES 
166. Pma Holdings (Pty ) Ltd. 
167. Power Rush Trading 170 Cc. 
168. Princetop Corporative Training (Pty) Ltd 
169. Progressive Environmental Projects 
170. Progressive School Of Business And Engineering (Pty) 
171. Ptdev (Pty) Ltd 
172. Qabuka-Vuka Development Trading 
173. Reflections Development Institute 
174. Retsogile Education and Training 
175. Rlstp Training & Development (Pty) Ltd. 
176. SBJ Shadikamang Agriculture 
177. Scientific Roots (Pty) Ltd 
178. Sekhukhune FET College - Central Office 
179. Selipha Trading (Pty) Ltd 
180. Senelo Trading Cc 
181. Setlakala Business Development 
182. Seza Bantu Rural Agricultural Projects 
183. SIBANYE GOLD ACADEMY PROPRIETARY LIMITED 
184. Silver Falls Scientific 
185. Simba Skills Consultants 
186. Simmek Holdings 
187. Siyafundisa I Africa 
188. Siyasanga Training Centre 
189. Smartmatta (Pty) Ltd 
190. South African Abet Development Agency Saada 
191. South African Corporate Training Association 
192. Spectrium 
193. Suidwes Beleggings Eiendoms Beperk 
194. Sulu Trading Pty Ltd 
195. Swaranang Management Consulting Cc 
196. Tasc Business Consulting And Training 
197. Technogirl Trust 
198. The Crimson Co Cc. 
199. The Green Affairs Consulting 
200. The Petit Pois Chef'S Academy 
201. The Skills Development Hub (Pty) Ltd 
202. Thembeni Skills Development Trading And Projects 
203. Thubelihle Graduate Institute 
204. Thuto Boshwa Skills Development Services 
205. Thutong Learning College 
206. Thutopele Skills Institute 
207. Timothy Fasheun Group Enviromentors (Pty) Ltd 
208. Tinotsile Training and Development 
209. Tlatlana Events Solution and Communication 
210. TM Mashwara and Projects 
211. Tompi Seleka Agricultural College 
212. Township Fire And Rescure (Pty) Ltd 
213. TPLR and Training Services (PTY) LTD 
214. TPN Training and Recruitment cc 
215. Trainers without Borders 
216. Training At Work (Pty) Ltd 
217. Transafric Consulting Pty Ltd 
218. Triple R Training Provider 
219. Tsebong Training Centre 
220. Tshenkeng's Consulting 
221. Tshwane Skills Training Centre 
222. TSK Projects(PTY)LTD 
223. Tuns Trading And Projects (Pty) Ltd 
224. Twin Peak Technologies 
225. Ukhamba Quality Skills 
226. Umbuso Training Services 
227. Umhlanga 
228. University Of Intellectual Excellence (Pty)Ltd 
229. University of Venda 
230. Ursivox Interactive Systems 
231. Vari Holdings (Pty)Ltd 
232. Venus Maintenance And Supply Services 
233. Vicmat Consultants 
234. Voyano Project Management 
235. Washa 2 Training & Projects 
236. Wbs Group 
237. Westco Agri Training 
238. Wildlife and Enviroment Society of South Africa 
239. Wongintuthuko Projects 
240. Working Decisions Cc 
241. World Pace Development And Training Institute 
242. Xl At Consulting Cc 
243. Ya Hina Management Consulting And Projects 
244. YAB Business Solutions 
245. Yotha Personnel 
246. Zwide Ka- Langa Dynamics 


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.