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SOUTH AFRICAN QUALIFICATIONS AUTHORITY 
REGISTERED UNIT STANDARD THAT HAS PASSED THE END DATE: 

Describe, represent and informally analyse shape and motion in 2- and 3-dimensional space 
SAQA US ID UNIT STANDARD TITLE
7479  Describe, represent and informally analyse shape and motion in 2- and 3-dimensional space 
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 2  NQF Level 02  4 
REGISTRATION STATUS REGISTRATION START DATE REGISTRATION END DATE SAQA DECISION NUMBER
Passed the End Date -
Status was "Reregistered" 		 2003-12-03  2006-12-03  SAQA 1351/03 
LAST DATE FOR ENROLMENT LAST DATE FOR ACHIEVEMENT
2007-12-03   2010-12-03  

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,
  • Analyse and describe natural forms, cultural products and processes as representations of shape, space and time, and
  • Solve real and abstract problems by constructing and interpreting geometrical and trigonometric models. 
    		•

    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 1. 

    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 
    Describe and represent the properties of geometric shapes. 
    OUTCOME RANGE 
  • Estimate and determine the perimeter, surface area and volume of regular (prism and cylinder) and irregular objects
  • Apply ratio and proportion in various spatial contexts as related to area and volume with respect to reductions and enlargements
  • Develop conjectures based on geometric properties 
    		•

    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 as 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 
    Analyse and describe natural forms. 
    OUTCOME NOTES 
    Analyse and describe natural forms, cultural products and processes as representations of shape, space and time. 
    OUTCOME RANGE 
  • Use symmetry, translation, reflection and rotation in analysing and describing artifacts.
  • Make and justify conjectures about mathematical relationships found in artifacts and objects.
  • Use transformations and symmetry in analysing and describing graphs and objects.
  • Make and justify conjectures about relationships among objects. 
    		•

    ASSESSMENT CRITERIA     

    ASSESSMENT CRITERION 1 
    1. The analysis and description are based on correct application of transformations and other geometrical properties. 

    ASSESSMENT CRITERION 2 
    2. Patterns and shapes are replicated through the innovative use of transformations and geometrical properties. 

    ASSESSMENT CRITERION 3 
    3. Conjectures made relative to transformations and geometric properties are valid and appropriate to the situation. 

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

    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. 


    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. 
    		•

    QUALIFICATIONS UTILISING THIS UNIT STANDARD: 
      ID QUALIFICATION TITLE PRE-2009 NQF LEVEL NQF LEVEL STATUS END DATE PRIMARY OR DELEGATED QA FUNCTIONARY
    Elective  49450   National Certificate: Plastics Manufacturing  Level 2  NQF Level 02  Passed the End Date -
    Status was "Reregistered"     		 2023-06-30  MERSETA 


    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. Montshepetsa Bosui Farming & Training Cnt 
    2. NWK Beperk 
    3. Senwes Beperk 


    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.