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, represent, analyse and explain changes in shape and motion in 2- and 3-dimensional space with justification 
SAQA US ID UNIT STANDARD TITLE
7484  Describe, represent, analyse and explain changes in shape and motion in 2- and 3-dimensional space with justification 
ORIGINATOR
SGB Math Literacy, Math, Math Sciences L 2 -4 
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 4  NQF Level 04 
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 
This unit standard will be useful to people who aim to achieve recognition at some level in Further Education and Training or to meet the Fundamental requirement of a wide range of qualifications registered on the National Qualifications Framework.

People credited with this unit standard are able to:

describe and represent the properties of geometric shapes;
solve real and abstract problems by constructing and interpreting geometrical and trigonometric models; and
select and use co-ordinate or schematic systems to represent and solve problems. 

LEARNING ASSUMED TO BE IN PLACE AND RECOGNITION OF PRIOR LEARNING 
The credit value is based on the assumption that people starting to learn towards this unit standard are competent in Mathematics and Communications at NQF level 3. 

UNIT STANDARD RANGE 
The scope of this unit standard includes perimeter, surface area, volume, ratio, proportion, symmetry, transformations, co-ordinate geometry, trigonometry and making and justifying conjectures. More detailed range statements are provided for specific outcomes and assessment criteria as needed. 

Specific Outcomes and Assessment Criteria: 

SPECIFIC OUTCOME 1 
Analyse, describe and represent the properties of geometric shapes 
OUTCOME RANGE 
  • Use formulae to calculate the surface area and volume of spheres
  • Use algebra and calculus to develop and explain graphical representations of changes in areas and volumes of geometrical figures as their dimensions vary.
  • Apply ratio and proportion in various spatial contexts as related to area and volume with respect to reductions and enlargements
  • Develop justifications and proofs for conjectures in localised axiomatic systems 

  • ASSESSMENT CRITERIA
     

    ASSESSMENT CRITERION 1 
    1. Descriptions are based on a systematic analysis of the shapes and reflect the properties of the shapes accurately, clearly and completely. 

    ASSESSMENT CRITERION 2 
    2. Descriptions include quantitative information appropriate to the situation and need. 

    ASSESSMENT CRITERION 3 
    3. Estimates are appropriate and their accuracy can be justified in terms of the need. 

    ASSESSMENT CRITERION 4 
    4. Measurements and calculations are efficient and accurate. Symbols and units are used in accordance with SI conventions and as appropriate to the situation. 

    ASSESSMENT CRITERION 5 
    5. Conjectures are appropriate to the situation, are based on well-planned investigations of geometrical properties and can be justified through logical arguments. 

    ASSESSMENT CRITERION 6 
    6. Spatial strategies with reference to the given situation are used to justify generalisations. 

    SPECIFIC OUTCOME 2 
    Solve real and abstract problems. 
    OUTCOME NOTES 
    Solve real and abstract problems by constructing and interpreting geometrical and trigonometric models. 
    OUTCOME RANGE 
  • Problems in 2 and 3 dimensions.
  • Models and representations to include diagrams, congruency, transformations, co-ordinates, matrices, trigonometric functions and formulae. 

  • ASSESSMENT CRITERIA
     

    ASSESSMENT CRITERION 1 
    1. Representations of the problems are consistent with and appropriate to the problem context. The problems are represented comprehensively and in mathematical terms. 

    ASSESSMENT CRITERION 2 
    2. Results are achieved through efficient and correct analysis and manipulation of representations. 

    ASSESSMENT CRITERION 3 
    3. Problem solving methods are presented clearly, logically and in mathematical terms. 

    ASSESSMENT CRITERION 4 
    4. Solutions are correct and are interpreted and validated in terms of the context of the problem. 

    SPECIFIC OUTCOME 3 
    Select and use co-ordinate or schematic systems to represent and solve problems. 
    OUTCOME RANGE 
  • Use Cartesian co-ordinates to indicate location and path (locus)
  • Use co-ordinates to solve problems 

  • ASSESSMENT CRITERIA
     

    ASSESSMENT CRITERION 1 
    1. The selection and use of the co-ordinate or schematic system is appropriate to the problem context. 

    ASSESSMENT CRITERION 2 
    2. Representations of the problems are consistent with the problem context. The problems are represented comprehensively and in mathematical terms. 

    ASSESSMENT CRITERION 3 
    3. Results are achieved through efficient and correct analysis and manipulation of representations. 

    ASSESSMENT CRITERION 4 
    4. Problem solving methods are presented clearly, logically and in mathematical terms. 

    ASSESSMENT CRITERION 5 
    5. Solutions are correct and interpreted and validated in terms of the context of the problem. 


    UNIT STANDARD ACCREDITATION AND MODERATION OPTIONS 
    Accreditation Option: Providers of learning towards this unit standard will need to meet the accreditation requirements of the GENFETQA.
    Moderation Option: The moderation requirements of the GENFETQA must be met in order to award credit to learners for this unit standard. 

    UNIT STANDARD ESSENTIAL EMBEDDED KNOWLEDGE 
    The following essential embedded knowledge will be assessed through assessment of the specific outcomes in terms of the stipulated assessment criteria. Candidates are unlikely to achieve all the specific outcomes, to the standards described in the assessment criteria, without knowledge of the listed embedded knowledge. This means that the possession or lack of the knowledge can be inferred directly from the quality of the candidate`s performance against the standards.
  • Properties of geometric shapes
  • Formulae for calculating surface area and volume
  • Geometric and trigonometric techniques for analysing and describing situations and solving problems
  • The Cartesian system. 


  • Critical Cross-field Outcomes (CCFO): 

    UNIT STANDARD CCFO IDENTIFYING 
  • Identify and solve problems using critical and creative thinking:
    Solving a variety of problems involving space, shape and time using geometrical and trigonometric techniques
  • Use mathematics:
    Use mathematics to analyse, describe and represent realistic and abstract situations and to solve problems. 

  • UNIT STANDARD CCFO COLLECTING 
  • Collect, analyse, organise and critically evaluate information:
    Gather, organise, evaluate and interpret information about objects and processes. 

  • UNIT STANDARD CCFO COMMUNICATING 
  • Communicate effectively:
    Use everyday language and mathematical language to describe properties, processes and problem solving methods. 

  • 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  66071   Further Education and Training Certificate: Computer Aided Drawing Office Practice (CAD)  Level 4  NQF Level 04  Reregistered  2023-06-30  CETA 
    Fundamental  48978   Further Education and Training Certificate: Electrical Network Control  Level 4  NQF Level 04  Reregistered  2023-06-30  EWSETA 
    Fundamental  58930   Further Education and Training Certificate: Professional Hunting  Level 4  NQF Level 04  Reregistered  2023-06-30  CATHSSETA 
    Fundamental  66669   Further Education and Training Certificate: Rail Operations (Train Control)  Level 4  NQF Level 04  Reregistered  2023-06-30  TETA 
    Fundamental  66370   Further Education and Training Certificate: Roof Truss Technology  Level 4  NQF Level 04  Passed the End Date -
    Status was "Reregistered" 
    2015-06-30  FPMSETA 
    Fundamental  48399   Further Education and Training Certificate: Sugar Processing  Level 4  NQF Level 04  Reregistered  2023-06-30  AgriSETA 
    Fundamental  65949   Further Education and Training Certificate: Supervision of Construction Processes  Level 4  NQF Level 04  Reregistered  2023-06-30  CETA 
    Fundamental  71549   Further Education and Training Certificate: Tourist Guiding  Level 4  NQF Level 04  Reregistered  2023-06-30  CATHSSETA 
    Fundamental  14854   National Certificate: Agric Sales and Services  Level 4  NQF Level 04  Reregistered  2023-06-30  AgriSETA 
    Fundamental  23678   National Certificate: Fossil Power Plant Operation  Level 4  Level TBA: Pre-2009 was L4  Reregistered  2023-06-30  EWSETA 
    Fundamental  20893   National Certificate: Human Resources Management and Practices Support  Level 4  NQF Level 04  Passed the End Date -
    Status was "Registered" 
    2005-02-13  Was SABPP until Last Date for Achievement 
    Fundamental  23733   National Certificate: Nuclear Power Plant Operation  Level 4  Level TBA: Pre-2009 was L4  Reregistered  2023-06-30  EWSETA 
    Fundamental  23675   National Certificate: Management of Building Construction Processes  Level 5  Level TBA: Pre-2009 was L5  Reregistered  2023-06-30  CETA 
    Fundamental  21792   National Diploma: Contact Centre Management  Level 5  NQF Level 05  Reregistered  2023-06-30  SERVICES 
    Fundamental  23683   National Diploma: Management of Civil Engineering Construction Processes  Level 5  NQF Level 05  Reregistered  2023-06-30  CETA 
    Fundamental  48879   National Diploma: South African Special Forces Operations  Level 5  Level TBA: Pre-2009 was L5  Passed the End Date -
    Status was "Reregistered" 
    2010-04-07  Was SAS SETA 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. Abakholwe Community Developers (Pty) Ltd 
    2. Academy for Construction Skills (Pty) Ltd (ACS) 
    3. AFRICAN ACAD.FOR COM.ASSIS.ENGINEERING 
    4. Balemi Consulting Pty Ltd 
    5. Cedara College of Agriculture 
    6. Construction Resource Development Centre 
    7. CTU Training Solutions 
    8. Dego Consultants 
    9. Eastcape Training Centre 
    10. Elsenburg Agricultural Training Institute 
    11. Enhance Strategies International (PTY) LTD 
    12. ESKOM DUVHA POWER STATION - OPERATIONS 
    13. ESKOM GROOTVLEI POWER STATION OPERATIONS 
    14. ESKOM KOEBERG - RADIATION PROTECTION 
    15. ESKOM MEDUPI POWER STATION OPERATIONS TRAINING 
    16. Gola Institute of Engineering 
    17. IMBAWULA CIVIL ENGINEERING ACADEMY 
    18. In Touch Community Development & Project Managers 
    19. Mitek Industries SA ( Pty) Ltd 
    20. Mthoms Trading 
    21. MTL Training and Projects 
    22. NWK Beperk 
    23. Powerpro Technologies and Training Facility (PTY) LTD 
    24. RCL Foods-Sugar & Milling 
    25. Scaffold Training Group 
    26. Sekhukhune FET College - Central Office 
    27. Senwes Beperk 
    28. South African Value Education (Pty) Ltd 
    29. SPECIAL FORCES SCHOOL 
    30. Suidwes Beleggings Eiendoms Beperk 
    31. Tjeka Training Matters Pty Ltd 
    32. Tlhogi''s Consulting and Projects 
    33. Training Force (Pty) Ltd 
    34. TSEBO SECHABA CONSULTING 
    35. UTHUNGULU HUMAN RESOURCE DEVELOPMENT 
    36. VKB LANDBOU (PTY) LTD 



    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.