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

Solve realistic and abstract problems involving changing quantities by addition, subtraction, multiplication and division 
SAQA US ID UNIT STANDARD TITLE
14069  Solve realistic and abstract problems involving changing quantities by addition, subtraction, multiplication and division 
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 3  Regular-Fundamental  Below Level 1  Level TBA:Pre-2009 BelowL1  3 
REGISTRATION STATUS REGISTRATION START DATE REGISTRATION END DATE SAQA DECISION NUMBER
Passed the End Date -
Status was "Reregistered" 		 2003-06-30  2006-06-30  SAQA 1043/02 
LAST DATE FOR ENROLMENT LAST DATE FOR ACHIEVEMENT
2007-06-30   2010-06-30  

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:
  • Estimate the answers to applied problems and computations.
  • Express the problem situation using words, mathematical expressions, equations and /or drawings.
  • Devise and /or implement strategies to solve mathematical problems.
  • Interpret, verify and justify solutions in terms of practical considerations.
  • Calculate solutions to mixes operation calculations. 
    		•

    UNIT STANDARD RANGE 
    Any one of the qualities involved in the situation may be unknown and the numbers may be whole numbers or fractions expressed as fractions, decimals or percentages.
    Fractions can be expressed as simple fractions, percentages or decimals.
    Whole numbers at least up to 1 000 000.
    Addition and subtraction: Whole numbers of up to six digits.
    Decimals up to three decimal places.
    Fractions of denominators 2 to 9 where one denominator is a multiple of the other.
    Multiplication and division: Whole numbers up to three digits.
    Decimals up to three decimal places.
    Fractions of denominators 2 to 9. 

    Specific Outcomes and Assessment Criteria: 

    SPECIFIC OUTCOME 1 
    Estimate the answers to applied problems and computations. 

    ASSESSMENT CRITERIA     

    ASSESSMENT CRITERION 1 
    1.Estimates are reasonably close to the exact figures as can be justified within the context. 

    ASSESSMENT CRITERION 2 
    2.Estimates chosen facilitate easy calculations 

    ASSESSMENT CRITERION 3 
    3.The accuracy of estimates is justified by the context, need for speed and purposes of estimating. 

    SPECIFIC OUTCOME 2 
    Express the problem situation using words, mathematical expressions, equations and/or
    drawings. 

    ASSESSMENT CRITERIA     

    ASSESSMENT CRITERION 1 
    1.Mathematical symbols are correct and used in the proper context. 

    ASSESSMENT CRITERION 2 
    2.The description is consistent with the original statement of the problem. 

    ASSESSMENT CRITERION 3 
    3.The layout is clear and structured so that it can be easily read. 

    SPECIFIC OUTCOME 3 
    Devise and/or implement strategies to solve mathematical problems. 
    OUTCOME RANGE 
    Algorithms used can be standard or self generated.
    Calculations with and without the use of a calculator. 

    ASSESSMENT CRITERIA     

    ASSESSMENT CRITERION 1 
    1.Appropriate operations are used. 

    ASSESSMENT CRITERION 2 
    2.Algorithms are logical, internally consistent and justified by the context. 

    ASSESSMENT CRITERION 3 
    3.Mathematical symbols are correct and used in the proper context. 

    ASSESSMENT CRITERION 4 
    4.Procedures used lead to correct solutions 

    SPECIFIC OUTCOME 4 
    Interpret, verify and justify solutions in terms of practical considerations. 

    ASSESSMENT CRITERIA     

    ASSESSMENT CRITERION 1 
    1.The solution makes sense in terms of the problem context. 

    ASSESSMENT CRITERION 2 
    2.Calculator answers are interpreted realistically in context. 

    ASSESSMENT CRITERION 3 
    3.Rounding up or down is appropriate to the context and follows established conventions in terms of the number of decimal places. 

    ASSESSMENT CRITERION 4 
    4.Explanations of solutions take into account practical considerations. 

    SPECIFIC OUTCOME 5 
    Calculate solutions to mixed operation calculations. 
    OUTCOME RANGE 
    Only situations involving the priority of brackets as well as the use of the left to right rule will be applied. The priority of operations as a rule is excluded at this level. 

    ASSESSMENT CRITERIA     

    ASSESSMENT CRITERION 1 
    1.Operations within brackets are given priority 

    ASSESSMENT CRITERION 2 
    2.The left to right rule is applied correctly. 

    ASSESSMENT CRITERION 3 
    3.Solutions are consistent with the problem. 


    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 IDENTIFYING 
    solve problems. 

    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.

    Assessment of the ability to solve problems must cover the full range of problem situations. 

    QUALIFICATIONS UTILISING THIS UNIT STANDARD: 
      ID QUALIFICATION TITLE PRE-2009 NQF LEVEL NQF LEVEL STATUS END DATE PRIMARY OR DELEGATED QA FUNCTIONARY
    Fundamental  49013   National Certificate: Mining Operations: Underground Hard Rock  Level 2  NQF Level 02  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.
     
    NONE 


    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.