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SOUTH AFRICAN QUALIFICATIONS AUTHORITY 
REGISTERED UNIT STANDARD: 

Demonstrate an understanding of and use the numbering system 
SAQA US ID UNIT STANDARD TITLE
14084  Demonstrate an understanding of and use the numbering system 
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
Undefined  Regular-Fundamental  Level 1  NQF Level 01  1 
REGISTRATION STATUS REGISTRATION START DATE REGISTRATION END DATE SAQA DECISION NUMBER
Passed the End Date -
Status was "Reregistered" 		 2006-07-04  2007-06-29  SAQA 0160/05 
LAST DATE FOR ENROLMENT LAST DATE FOR ACHIEVEMENT
2008-06-29   2011-06-29  

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 
Persons credited with this unit standard are able to:
  • Count and/or estimate a number of items and an amount of money and record the number or amount orally and in writing.
  • Demonstrate understanding of and use the continuous, recurring, patterned nature of the whole number system to generate, order and compare numbers, and identify and complete simple number and visual patterns.
  • Work with fractions and demonstrate under standing of the size, concept and use of fractions and the link between fractions, decimals and percentages.
  • Demonstrate understanding of and use mathematical language, symbols and notation to represent and communicate mathematical relations, concepts and generalizations.
  • Explain the origin and logic of, and use an alternative means of counting and recording quantity. 
    		•

    Specific Outcomes and Assessment Criteria: 

    SPECIFIC OUTCOME 1 
    Count and/or estimate a number of items and an amount of money and record
    the number or amount oral 
    OUTCOME RANGE 
    Counting in 1s, 2s, 4s, 5s, 10s, 20s, 25s, 50s, 100s, 200s in ascending and descending order, starting at any number up to at least 1 000. 

    ASSESSMENT CRITERIA     

    ASSESSMENT CRITERION 1 
    1.The quantity or amount expressed and recorded is correct in terms of number names and symbols used. 

    ASSESSMENT CRITERION 2 
    2.The form of written numbers is in accordance with the conventions for writing numbers. 

    ASSESSMENT CRITERION 3 
    3.Money is written in accordance with established conventions. 
    ASSESSMENT CRITERION RANGE 
    Including but not limited to the following forms:
    R5,86; R5
    4. 86
    586c.
     

    ASSESSMENT CRITERION 4 
    5.The language of estimation is used where appropriate. 
    ASSESSMENT CRITERION RANGE 
    Including but not limited to: about, more-or-less, close to, less than, more than, approximately, nearly.
     

    ASSESSMENT CRITERION 5 
    6.The accuracy of estimates is appropriate in terms of the context, the need for speed and the purpose of the estimates 

    ASSESSMENT CRITERION 6 
    7.The link between the number of items, the number names and number symbols is demonstrated. 

    SPECIFIC OUTCOME 2 
    Demonstrate understanding of and use the continuous, recurring, patterned nature of the whole number 
    OUTCOME RANGE 
    Number patterns could be based on doubling, halving, fixed differences, increasing or decreasing differences. Patterns do not include squared or cubed numbers, or those based on ratios.

    Numbers and money are generated or expanded by groupings of 1s; 10s; 100s and 1 000s. 

    ASSESSMENT CRITERIA     

    ASSESSMENT CRITERION 1 
    1.Identified patterns are consistent throughout the pattern. 

    ASSESSMENT CRITERION 2 
    2.Completed patterns are internally consistent. 

    ASSESSMENT CRITERION 3 
    3.Numbers are correctly sequenced according to size or identified patterns. 

    ASSESSMENT CRITERION 4 
    4.Numbers generated or expanded using groupings of 1s; 10s; 100s and 1 000s equate to the original numbers 

    ASSESSMENT CRITERION 5 
    5.The language of comparison is used where appropriate and demonstrates the relationship between numbers. 
    ASSESSMENT CRITERION RANGE 
    Including but not limited to: more than, less than, bigger, smaller, the same as, equal to, nearly, fewer, least, different.
     

    SPECIFIC OUTCOME 3 
    Work with fractions and demonstrate under-standing of the size 
    OUTCOME NOTES 
    Work with fractions and demonstrate under-standing of the size, concept and use of fractions and the link between fractions, decimals and percentages. 
    OUTCOME RANGE 
    Read fractions in words and symbols.

    Find and explain how to find fractions of shapes, lengths and quantities and generalise specific cases.
    Link fractions, decimals and percentages in cases limited to 10%, 25%, 50%, 75% and 100%.
    Compare and order fractions according to size.
    Calculations with fractions are limited to finding fractional parts of shapes, lengths or amounts. 

    ASSESSMENT CRITERIA     

    ASSESSMENT CRITERION 1 
    1.Drawings indicating the size of fractional parts of shapes are close enough to exact sizes to make the fraction denoted clear. 

    ASSESSMENT CRITERION 2 
    2.The sizes of fractional parts of quantities and lengths are exactly correct 

    ASSESSMENT CRITERION 3 
    3.The relative sizes of fractions are displayed through correct sequencing and direct comparisons. 

    ASSESSMENT CRITERION 4 
    4.Symbolic representations of fractions, decimals and percentages accord with recognized conventions. 
    ASSESSMENT CRITERION RANGE 
    Includes the following conventions:
    3
    4 0; 3/4; 0,75; 75%;
    75
    100 0.
     

    ASSESSMENT CRITERION 5 
    5.Explanations of how to find fractions of shapes, lengths and quantities ; clarify the role of the denominator and numerator. 

    ASSESSMENT CRITERION 6 
    6.The language of fractions is used correctly. 
    ASSESSMENT CRITERION RANGE 
    Language includes half, third, quarter, halves, thirds, quarters, whole, equal parts, divide between, share
     

    ASSESSMENT CRITERION 7 
    7.Descriptions of the uses of fractions, decimals and percentages are in line with everyday examples. 

    SPECIFIC OUTCOME 4 
    Demonstrate understanding of and use mathematical language, symbols and notation 
    OUTCOME NOTES 
    Demonstrate understanding of and use mathematical language, symbols and notation to represent and communicate mathematical relations, concepts and generalizations. 
    OUTCOME RANGE 
    Numbers at least up to 1 000, words 0-20 fractions to include:
    1
    2 0,
    1
    3 0,
    1
    4 0,
    1
    8 0
    ordinals up to at least 100th. 

    ASSESSMENT CRITERIA     

    ASSESSMENT CRITERION 1 
    1.Numbers in word and symbolic form are read and written according to accepted conventions. 

    ASSESSMENT CRITERION 2 
    2.Ordinals in word and abbreviated form are read and written according to accepted conventions. 

    ASSESSMENT CRITERION 3 
    3.Fractions in words and symbols are read and written according to accepted conventions. 

    ASSESSMENT CRITERION 4 
    4.The ordinal and cardinal value of numbers are linked correctly using the language and abbreviations for ordinal and cardinal numbers. 

    SPECIFIC OUTCOME 5 
    Explain the origin and logic of, and use, an alternative means of counting and recording quantity 
    OUTCOME RANGE 
    Ancient, self-generated or cultural number systems.
    Logic to be explained only in terms of how it works and how it is generalized.
    The system should be used to count at least 3 different quantities in the range of whole numbers 1 to 100. 

    ASSESSMENT CRITERIA     

    ASSESSMENT CRITERION 1 
    1.The explanation describes the origin of the system, how the system works, and demonstrates how it can be generalized 

    ASSESSMENT CRITERION 2 
    2.The system is used in accordance with its logic to correctly express the quantity being counted 


    UNIT STANDARD ACCREDITATION AND MODERATION OPTIONS 
    Evaluation of documentation and visit by SAQA or ETQA expert in field of mathematics education.

    Moderation option:

    According to system devised by the NSB. 


    Critical Cross-field Outcomes (CCFO): 

    UNIT STANDARD CCFO COMMUNICATING 
    communicate effectively using visual, mathematical and language skills in the modes of oral and written presentations, 

    UNIT STANDARD CCFO DEMONSTRATING 
    demonstrate an understanding of the world as a set of related systems. 

    UNIT STANDARD NOTES 
    This unit standard has been replaced by various other unit standards.

    Assessment of candidates must include testing in realistic and abstract situations. 

    QUALIFICATIONS UTILISING THIS UNIT STANDARD: 
      ID QUALIFICATION TITLE PRE-2009 NQF LEVEL NQF LEVEL STATUS END DATE PRIMARY OR DELEGATED QA FUNCTIONARY
    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  58026   General Education and Training Certificate: Food and Beverage Handling Processes  Level 1  NQF Level 01  Passed the End Date -
    Status was "Reregistered"     		 2023-06-30  FOODBEV 
    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  49753   General Education and Training Certificate: General Technical Practice  Level 1  NQF Level 01  Passed the End Date -
    Status was "Reregistered"     		 2023-06-30  EWSETA 
    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  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  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  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 


    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. African Apex Apparel (Pty) Ltd 
    3. Alpha Business Consultants 
    4. Amabamba Recruitment 
    5. Amaloba Horticultural Services 
    6. Amangile Academy (Pty) Ltd 
    7. AVAX SA 481 CC. T/A Mandisa Development Services 
    8. Balemi Consulting Pty Ltd 
    9. Bantubanye Skills 
    10. Bikologix Projects 
    11. Biofuels Business Incubators NPC 
    12. BO Support Services CC 
    13. Boikgantsho Consulting & Events 
    14. Buena Vista Learning Academy 
    15. Bumunhu Services Providers Cc 
    16. Cedara College of Agriculture 
    17. Central Bridge Trading 109 
    18. Centre for Public Participation 
    19. Cre8tion Projects 6 PTY LTD 
    20. CTC College(PTY) LTD. 
    21. Cumlaude Institute (PTY) Ltd 
    22. Dean Institute Of Learning (Pty) Ltd 
    23. Deloitte 
    24. DEW CRISP PTY LTD 
    25. Dihwai Food Cultural and Agricultural Services 
    26. Ditirelo Skills Development Services 
    27. Dlamini The Siba PTY LTD 
    28. Eco-Culture 
    29. Elective Training Institute Enterprise CC 
    30. ELSENBURG AGRICULTURAL COLLEGE 
    31. Elvis Koena Consulting (Pty) Ltd 
    32. Environmental Leadership Academy 
    33. Esayidi FET College - Central Office 
    34. Escay Catering and other Services 
    35. Essential Skills 
    36. Farm for Africa Training and Development 
    37. Food and Trees for Africa 
    38. Forestcom 
    39. Fort Cox Agricultural College 
    40. GA Community Care Consultants 
    41. Ghoenas Kraal Opleiding Sentrum 
    42. Giant Alive Services 
    43. Goldfields FET College 
    44. Green Futures 
    45. Green Gain Consulting (Pty)Ltd 
    46. Heedmorine Training 
    47. Hlombe and Associates 
    48. HLUVUKA TRAINING AND CONSULTING 
    49. Hot To Go Training College and Services 
    50. Icando 
    51. Impact Plus Training Consultants 
    52. Independent Development Trust 
    53. Integrated Waste and Recycling Services(IWARS) 
    54. Interstate Clearing 092 (Pty) Ltd 
    55. IQ Skills Academy (PTY) LTD. 
    56. Iziko Capacity Building CC. 
    57. Josmap Training Institute 
    58. K-Leng Touch, Events and Skills Development 
    59. KayDee Project Management Cc 
    60. Kgakishe Trading and Projects (PTY) LTD 
    61. Kgopane Trading Enterprise 
    62. Kimbali Holdings 
    63. KMK Training Services (PTY) Ltd 
    64. Knowledge For Ever 
    65. Kodi Traiding Enterprise 
    66. Kwazulu Skills Academy 
    67. Lapa La Afrika Farming and Projects 
    68. Leading Skills Online 
    69. Lesias Educational Services 
    70. Longmore Training and Developen 
    71. Lovedale TVET College 
    72. Mabuya Amahle Trading 
    73. Madzivhandila Agricultural College 
    74. Maile Consulting 
    75. Maishamalema Development Training 
    76. Mananthatshema Skills Dev. Centre 
    77. Mangalani Business Enterprises 
    78. Marang Women in Agric and Development 
    79. MARS Business Consulting 
    80. MashMP Holdings 
    81. Mashphe Logistics Services 
    82. Mathapuso Construction and Projects 
    83. Matiisetso Training and Consulting 
    84. Matlharini Multi Centre Skills 
    85. Matotomana Training & General Trading 
    86. Mavco Engineering Pty Ltd 
    87. Mcebo Technologies 
    88. Mdaka Omnyama Trading and Projects 
    89. Medu Skills Consultants 
    90. Mementos Training Pty Ltd 
    91. Mimosa Business Consultants 
    92. Mintirho Development Services 
    93. MML Consulting CC. 
    94. Mobile Agri Skills Development and Training NPC 
    95. Mod-Mosh Projects and Consulting (PTY) LTD 
    96. Mogaladi Business Enterprise 
    97. Mohlaje Solutions (Pty) Ltd 
    98. Montshepetsa Bosui Farming & Training Cnt 
    99. Mortarboard Training Solutions 
    100. Morwa Agri-development cc 
    101. Mphela Education Training and Development 
    102. Mpontshe Training 
    103. Mthashana FET College - Vryheid Campus 
    104. MUHANGWENE DEVELOPMENT ENTERPRISE 
    105. Mvelo Consultant 
    106. Nalengmokoni Investors (Pty) Ltd 
    107. National Institute For The Deaf - NID 
    108. NEDTEX73 
    109. Neopeo Trading & Projects 
    110. Nettcon SA 
    111. New Heights 1082 Pty Ltd 
    112. Nghano Training and Development Centre 
    113. Ngwato Wa Mphela Agriculture Training Services 
    114. Nkalebetja Agricultural Projects and Management services 
    115. Nkangala Public FET College - Central Office 
    116. NOBO Training and Development Services (Pty) LTD 
    117. Nomsithi Trading 
    118. Nophelo Training Centre 
    119. Novi General Services 
    120. Nyankwavi Investment CC. 
    121. Owen Sithole College of Agriculture 
    122. P N K Management Services 
    123. Pandelani Investment Holdings (PTY) LTD. 
    124. Phepha Consulting Services 
    125. Phill Skills and Development Institute 
    126. PMA Holdings (PTY ) LTD. 
    127. POTCH - UTC (PTY) LTD 
    128. Power Rush Trading 170 CC. 
    129. Premier Agric (Pty) Ltd 
    130. Princetop Corporative Training (Pty) Ltd 
    131. Progressive Environmental Projects 
    132. Progressive School of Business and Engineering (Pty) 
    133. PTDEV (Pty) Ltd 
    134. Qabuka-Vuka Development Trading 
    135. Reflections Development Institute 
    136. Retsogile Education and Training 
    137. RLSTP Training & Development (PTY) LTD. 
    138. SBJ Shadikamang Agriculture 
    139. Scientific Roots (Pty) Ltd 
    140. Sekhukhune FET College - Central Office 
    141. Selipha Trading (Pty) Ltd 
    142. Senelo Trading CC 
    143. Setlakala Business Development 
    144. Seza Bantu Rural Agricultural Projects 
    145. Silver Falls Scientific 
    146. Simmek Holdings 
    147. Sioma Training and Enterprise Developement 
    148. Siyafundisa I Africa 
    149. Siyasanga Training Centre 
    150. SmartMatta (Pty) Ltd 
    151. South African ABET Development Agency SAADA 
    152. South African Forestry Training College 
    153. Suidwes Beleggings Eiendoms Beperk 
    154. Sulu Trading PTY LTD 
    155. SWARANANG MANAGEMENT CONSULTING CC 
    156. Taletso FET College - Central Office 
    157. Tasc Business Consulting and Training 
    158. The Brokers Learning Centre 
    159. The Crimson CO CC. 
    160. The Petit Pois Chef's Academy 
    161. The Skills Development Hub (Pty) Ltd 
    162. Thebu Financial & Management Services 
    163. Thembeni Skills Development Trading and Projects 
    164. Thubelihle Graduate Institute 
    165. Thuto Boshwa Skills Development Services 
    166. Thutong Learning College 
    167. Timothy Fasheun Group Enviromentors (Pty) Ltd 
    168. Tinotsile Training and Development 
    169. Tlatlana Events Solution and Communication 
    170. TM Mashwara and Projects 
    171. Tompi Seleka Agricultural College 
    172. Township Fire and Rescure (Pty) Ltd 
    173. TPN Training and Recruitment cc 
    174. Training at Work (Pty) Ltd 
    175. Transafric Consulting Pty Ltd 
    176. Triple R Training Provider 
    177. Tsebong Training Centre 
    178. Tshenkeng's Consulting 
    179. Tuns Trading and Projects (Pty) Ltd 
    180. Twin Peak Technologies 
    181. U AND G TRAINING (PTY) LTD 
    182. Ukhamba Quality Skills 
    183. Umfolozi FET College 
    184. University of Venda 
    185. Ursivox Interactive Systems 
    186. Vari Holdings (Pty)Ltd 
    187. Venus Maintenance and Supply Services 
    188. VINE APPAREL (PTY)LTD 
    189. Voyano Project Management 
    190. Vukani Community Training 
    191. Washa 2 Training & Projects 
    192. Waterberg FET College - Central Office 
    193. Westco Agri Training 
    194. Wongintuthuko Projects 
    195. Working Decisions Cc 
    196. World Pace Development and Training Institute 
    197. Ya Hina Management Consulting and projects 
    198. Yangantle Trading 
    199. Yotha Personnel 


    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.