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

Use mathematical and statistical techniques effectively 
SAQA US ID UNIT STANDARD TITLE
12432  Use mathematical and statistical techniques effectively 
ORIGINATOR
SGB Manufacturing and Assembly Processes 
PRIMARY OR DELEGATED QUALITY ASSURANCE FUNCTIONARY
-  
FIELD SUBFIELD
Field 06 - Manufacturing, Engineering and Technology Manufacturing and Assembly 
ABET BAND UNIT STANDARD TYPE PRE-2009 NQF LEVEL NQF LEVEL CREDITS
Undefined  Regular  Level 5  Level TBA: Pre-2009 was L5  20 
REGISTRATION STATUS REGISTRATION START DATE REGISTRATION END DATE SAQA DECISION NUMBER
Passed the End Date -
Status was "Reregistered" 		 2006-11-07  2009-09-09  SAQA 0160/05 
LAST DATE FOR ENROLMENT LAST DATE FOR ACHIEVEMENT
2010-09-09   2013-09-09  

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 is replaced by: 
US ID Unit Standard Title Pre-2009 NQF Level NQF Level Credits Replacement Status
335876  Apply mathematical and statistical techniques in a production environment  Level 5  Level TBA: Pre-2009 was L5  20   

PURPOSE OF THE UNIT STANDARD 
The skills, values and knowledge reflected in this unit standard are required by people in the field of manufacturing and engineering.
The learning outcomes in this unit standard also contribute to the exit level outcomes required for various NQF level 5 manufacturing and engineering qualifications.
Qualifying learners can demonstrate an understanding of mathematical and statistical techniques. They are able to effectively use these techniques as required during the course of their work in a senior manufacturing and/or technical capacity in an organisation. 

LEARNING ASSUMED TO BE IN PLACE AND RECOGNITION OF PRIOR LEARNING 
This unit standard has been designed as part of a progression. It is one of a series of unit standards for mathematics
The credits allocated to this unit standard assume that a learner has already met the requirements of the FET NQF level 4 mathematics standards. 

UNIT STANDARD RANGE 
For the purposes of this unit standard, the learner is required to use a range of mathematical and statistical techniques required when working in a senior manufacturing and/or technical capacity in an organisation. 

Specific Outcomes and Assessment Criteria: 

SPECIFIC OUTCOME 1 
Discuss and explain a range of mathematical and statistical techniques used in the workplace 
OUTCOME NOTES 
Discuss and explain a range of mathematical and statistical techniques used in the workplace and applicable mathematical and statistical theory. 

ASSESSMENT CRITERIA 

ASSESSMENT CRITERION 1 
1. An understanding of a range mathematical techniques used in the workplace and applicable mathematical theory is demonstrated. 
ASSESSMENT CRITERION NOTES 
Indicators
1. Explanations given are clear, drawing from learner's own work experience
2. The learner is able to select the appropriate mathematical and statistical techniques to perform a variety of calculations
3. The learner is able to effectively relate mathematics and statistics to the needs of his/her job
Understanding confirmed
1. Respond to 'what if' and 'why' questions covering:
  • Mathematical and statistical techniques
  • Mathematical and statistical applications
  • Relevant formulas and calculations
  • Costing, estimating and budgeting principles
  • Techniques for costing, estimating and budgeting 
    		•

    ASSESSMENT CRITERION 2 
    2. Mathematical techniques are effectively and accurately applied. 
    ASSESSMENT CRITERION NOTES 
    Indicators
    1. Explanations given are clear, drawing from learner's own work experience
    2. The learner is able to select the appropriate mathematical and statistical techniques to perform a variety of calculations
    3. The learner is able to effectively relate mathematics and statistics to the needs of his/her job
    Understanding confirmed
    1. Respond to 'what if' and 'why' questions covering:
  • Mathematical and statistical techniques
  • Mathematical and statistical applications
  • Relevant formulas and calculations
  • Costing, estimating and budgeting principles
  • Techniques for costing, estimating and budgeting 
    		•

    ASSESSMENT CRITERION 3 
    3. Costing, estimating and budget calculations are performed. 
    ASSESSMENT CRITERION NOTES 
    Indicators
    1. Explanations given are clear, drawing from learner's own work experience
    2. The learner is able to select the appropriate mathematical and statistical techniques to perform a variety of calculations
    3. The learner is able to effectively relate mathematics and statistics to the needs of his/her job
    Understanding confirmed
    1. Respond to 'what if' and 'why' questions covering:
  • Mathematical and statistical techniques
  • Mathematical and statistical applications
  • Relevant formulas and calculations
  • Costing, estimating and budgeting principles
  • Techniques for costing, estimating and budgeting 
    		•

    SPECIFIC OUTCOME 2 
    Apply mathematical and statistical techniques 
    OUTCOME NOTES 
    Apply mathematical and statistical techniques to
  • Forecast needs
  • Determine optimum parameters
  • Use and work with formulations
  • Quantify productivity gains 
    		•
    OUTCOME RANGE 
    Includes the use of spreadsheets. 

    ASSESSMENT CRITERIA     

    ASSESSMENT CRITERION 1 
    1. An understanding of a range mathematical techniques used in the workplace and applicable mathematical theory is demonstrated. 
    ASSESSMENT CRITERION NOTES 
    Indicators
    1. Explanations given are clear, drawing from learner's own work experience
    2. The learner is able to select the appropriate mathematical and statistical techniques to perform a variety of calculations
    3. The learner is able to effectively relate mathematics and statistics to the needs of his/her job
    Understanding confirmed
    1. Respond to 'what if' and 'why' questions covering:
  • Mathematical and statistical techniques
  • Mathematical and statistical applications
  • Relevant formulas and calculations
  • Costing, estimating and budgeting principles
  • Techniques for costing, estimating and budgeting 
    		•

    ASSESSMENT CRITERION 2 
    2. Mathematical techniques are effectively and accurately applied. 
    ASSESSMENT CRITERION NOTES 
    Indicators
    1. Explanations given are clear, drawing from learner's own work experience
    2. The learner is able to select the appropriate mathematical and statistical techniques to perform a variety of calculations
    3. The learner is able to effectively relate mathematics and statistics to the needs of his/her job
    Understanding confirmed
    1. Respond to 'what if' and 'why' questions covering:
  • Mathematical and statistical techniques
  • Mathematical and statistical applications
  • Relevant formulas and calculations
  • Costing, estimating and budgeting principles
  • Techniques for costing, estimating and budgeting 
    		•

    ASSESSMENT CRITERION 3 
    3. Costing, estimating and budget calculations are performed. 
    ASSESSMENT CRITERION NOTES 
    Indicators
    1. Explanations given are clear, drawing from learner's own work experience
    2. The learner is able to select the appropriate mathematical and statistical techniques to perform a variety of calculations
    3. The learner is able to effectively relate mathematics and statistics to the needs of his/her job
    Understanding confirmed
    1. Respond to 'what if' and 'why' questions covering:
  • Mathematical and statistical techniques
  • Mathematical and statistical applications
  • Relevant formulas and calculations
  • Costing, estimating and budgeting principles
  • Techniques for costing, estimating and budgeting 
    		•

    SPECIFIC OUTCOME 3 
    Perform costing, estimating and budget calculations 
    OUTCOME NOTES 
  • Determine what affects cost (material, process, time, quality)
  • Determine what affects budgets
  • Quantify a process in terms of costs
  • Generate a quotation
  • Calculate a budget 
    		•

    ASSESSMENT CRITERIA     

    ASSESSMENT CRITERION 1 
    1. An understanding of a range mathematical techniques used in the workplace and applicable mathematical theory is demonstrated. 
    ASSESSMENT CRITERION NOTES 
    Indicators
    1. Explanations given are clear, drawing from learner's own work experience
    2. The learner is able to select the appropriate mathematical and statistical techniques to perform a variety of calculations
    3. The learner is able to effectively relate mathematics and statistics to the needs of his/her job
    Understanding confirmed
    1. Respond to 'what if' and 'why' questions covering:
  • Mathematical and statistical techniques
  • Mathematical and statistical applications
  • Relevant formulas and calculations
  • Costing, estimating and budgeting principles
  • Techniques for costing, estimating and budgeting 
    		•

    ASSESSMENT CRITERION 2 
    2. Mathematical techniques are effectively and accurately applied. 
    ASSESSMENT CRITERION NOTES 
    Indicators
    1. Explanations given are clear, drawing from learner's own work experience
    2. The learner is able to select the appropriate mathematical and statistical techniques to perform a variety of calculations
    3. The learner is able to effectively relate mathematics and statistics to the needs of his/her job
    Understanding confirmed
    1. Respond to 'what if' and 'why' questions covering:
  • Mathematical and statistical techniques
  • Mathematical and statistical applications
  • Relevant formulas and calculations
  • Costing, estimating and budgeting principles
  • Techniques for costing, estimating and budgeting 
    		•

    ASSESSMENT CRITERION 3 
    3. Costing, estimating and budget calculations are performed. 
    ASSESSMENT CRITERION NOTES 
    Indicators
    1. Explanations given are clear, drawing from learner's own work experience
    2. The learner is able to select the appropriate mathematical and statistical techniques to perform a variety of calculations
    3. The learner is able to effectively relate mathematics and statistics to the needs of his/her job
    Understanding confirmed
    1. Respond to 'what if' and 'why' questions covering:
  • Mathematical and statistical techniques
  • Mathematical and statistical applications
  • Relevant formulas and calculations
  • Costing, estimating and budgeting principles
  • Techniques for costing, estimating and budgeting 
    		•


    UNIT STANDARD ACCREDITATION AND MODERATION OPTIONS 
    The assessment will be governed by the policies and guidelines of the MERSETA Education and Training Quality Assuror (ETQA) who has jurisdiction over this field of learning.
    The assessor will (at the very least) be accredited and have a technical qualification in this learning area.
    The learner can be assessed in the language of his/her choice although if s/he has to report incidents or conditions to some one else, s/he will be assessed on his/her ability to report in the language commonly used in the working environment.
    The learner will be assessed in the workplace or by simulation, but can submit documents, projects, test results and assignments that are not produced in the workplace or by the RPL process.
    The learner can be assessed against this unit standard to obtain credits or as part of an integrated assessment for a qualification. 

    UNIT STANDARD ESSENTIAL EMBEDDED KNOWLEDGE 
    1. Purpose of:
  • Using mathematical and statistical techniques in the workplace
    costing, estimating and budgeting

    2. Attributes, descriptions, characteristics & properties:
  • Mathematical applications
  • Relevant formulas and calculations
  • Statistics
  • Costing, estimating and budgeting

    3. Processes and events:
  • Implications of not understanding the application of mathematical and statistical techniques
  • Implications of failing to accurately apply these techniques

    4. Procedures and techniques:
  • Mathematical and statistical techniques
  • For relevant formulas and calculations
  • For costing, estimating and budgeting

    5. Regulations, legislation, agreements, policies, standards:
  • Applicable company policies and procedures

    6. Theory: rules, principles, laws:
  • Applicable mathematical and statistical theory

    7. Relationships, systems:
  • Relationship between applicable mathematical and statistical concepts and their applications in the workplace 
    		•


    Critical Cross-field Outcomes (CCFO): 

    UNIT STANDARD CCFO IDENTIFYING 
    Identify and solve problems:
  • Using mathematical and statistical techniques 
    		•

    UNIT STANDARD CCFO ORGANISING 
    Organise and manage myself and my activities:
  • To perform mathematical and statistical calculations 
    		•

    UNIT STANDARD CCFO COLLECTING 
    Collect, analyse, organise and critically evaluate information:
  • For particular mathematical and statistical applications
  • For costing and estimating
  • On the results of mathematical and statistical applications 
    		•

    UNIT STANDARD CCFO SCIENCE 
    Use science and technology effectively and critically:
  • Apply relevant mathematical and statistical theory 
    		•

    UNIT STANDARD CCFO DEMONSTRATING 
    Demonstrate an understanding of the world as a set of related systems:
  • Explain the relationship between applicable mathematical and statistical concepts and their applications in the workplace 
    		•

    UNIT STANDARD NOTES 
    This Unit Standard has been replaced by Unit Standard 335876, which is "Apply mathematical and statistical techniques in a production environment", Level 5, 20 credits. 

    QUALIFICATIONS UTILISING THIS UNIT STANDARD: 
      ID QUALIFICATION TITLE PRE-2009 NQF LEVEL NQF LEVEL STATUS END DATE PRIMARY OR DELEGATED QA FUNCTIONARY
    Fundamental  21007   National Certificate: Automotive component manufacturing and assembly  Level 5  Level TBA: Pre-2009 was L5  Passed the End Date -
    Status was "Reregistered"     		 2008-11-01  Was MERSETA until Last Date for Achievement 
    Fundamental  22861   National Certificate: Autotronics  Level 5  Level TBA: Pre-2009 was L5  Passed the End Date -
    Status was "Reregistered"     		 2012-06-30  MERSETA 
    Fundamental  58025   National Certificate: CNC Production Machining  Level 5  Level TBA: Pre-2009 was L5  Passed the End Date -
    Status was "Reregistered"     		 2023-06-30  MERSETA 
    Fundamental  58883   National Certificate: Fluid Power  Level 5  Level TBA: Pre-2009 was L5  Passed the End Date -
    Status was "Reregistered"     		 2023-06-30  MERSETA 
    Fundamental  23260   National Certificate: Industrial Rubber Manufacturing: Mixing OR Extruding OR Moulding OR Calendaring  Level 5  Level TBA: Pre-2009 was L5  Passed the End Date -
    Status was "Reregistered"     		 2023-06-30  MERSETA 
    Fundamental  60070   National Certificate: Inspection and Assessment (Non-Metallics)  Level 5  Level TBA: Pre-2009 was L5  Passed the End Date -
    Status was "Reregistered"     		 2023-06-30  MERSETA 
    Fundamental  49511   National Certificate: Lift Inspection  Level 5  Level TBA: Pre-2009 was L5  Passed the End Date -
    Status was "Reregistered"     		 2023-06-30  MERSETA 
    Fundamental  22773   National Certificate: Mechatronics  Level 5  Level TBA: Pre-2009 was L5  Passed the End Date -
    Status was "Reregistered"     		 2011-02-16  Was MERSETA until Last Date for Achievement 
    Fundamental  57228   National Certificate: Metrology  Level 5  Level TBA: Pre-2009 was L5  Passed the End Date -
    Status was "Reregistered"     		 2023-06-30  EWSETA 
    Fundamental  20891   National Certificate: Plastics Manufacturing  Level 5  Level TBA: Pre-2009 was L5  Passed the End Date -
    Status was "Registered"     		 2005-04-13  Was MERSETA until Last Date for Achievement 
    Fundamental  49448   National Certificate: Plastics Manufacturing  Level 5  Level TBA: Pre-2009 was L5  Passed the End Date -
    Status was "Reregistered"     		 2023-06-30  MERSETA 
    Fundamental  57122   National Certificate: Printing and Manufacture of Packaging  Level 5  Level TBA: Pre-2009 was L5  Passed the End Date -
    Status was "Reregistered"     		 2015-06-30  FPMSETA 
    Fundamental  49793   National Certificate: Productivity  Level 5  Level TBA: Pre-2009 was L5  Passed the End Date -
    Status was "Reregistered"     		 2023-06-30  SABPP 
    Fundamental  57450   National Diploma: Automotive Diagnostics and Repair  Level 5  Level TBA: Pre-2009 was L5  Passed the End Date -
    Status was "Registered"     		 2009-02-18  Was MERSETA until Last Date for Achievement 
    Fundamental  63589   National Diploma: Geographical Information Science  Level 5  NQF Level 05  Passed the End Date -
    Status was "Reregistered"     		 2023-06-30  CETA 
    Fundamental  49794   National Diploma: Productivity  Level 5  NQF Level 05  Passed the End Date -
    Status was "Reregistered"     		 2023-06-30  SABPP 
    Elective  49398   National Certificate: Incident Management  Level 5  Level TBA: Pre-2009 was L5  Passed the End Date -
    Status was "Reregistered"     		 2023-06-30  TETA 
    Elective  49469   National Diploma: Complex Procurement  Level 5  NQF Level 05  Passed the End Date -
    Status was "Reregistered"     		 2012-06-30   
    Elective  63689   Bachelor of Arts: Geographical Information Science  Level 6  Level TBA: Pre-2009 was L6  Passed the End Date -
    Status was "Reregistered"     		 2018-06-30   
    Elective  58601   National Certificate: Land Transport Planning  Level 6  Level TBA: Pre-2009 was L6  Passed the End Date -
    Status was "Reregistered"     		 2012-06-30  LG SETA 


    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. Dee-Bravo Training Centre 
    2. Diversity technology Training Institute 


    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.