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