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 THAT HAS PASSED THE END DATE: 
Understand linear relationships and predicting linear trends using appropriate models 
SAQA US ID  UNIT STANDARD TITLE  
243835  Understand linear relationships and predicting linear trends using appropriate models  
ORIGINATOR  
SGB Statistics  
PRIMARY OR DELEGATED QUALITY ASSURANCE FUNCTIONARY  
  
FIELD  SUBFIELD  
Field 10  Physical, Mathematical, Computer and Life Sciences  Mathematical Sciences  
ABET BAND  UNIT STANDARD TYPE  PRE2009 NQF LEVEL  NQF LEVEL  CREDITS 
Undefined  RegularFundamental  Level 4  NQF Level 04  5 
REGISTRATION STATUS  REGISTRATION START DATE  REGISTRATION END DATE  SAQA DECISION NUMBER  
Passed the End Date  Status was "Reregistered" 
20180701  20230630  SAQA 06120/18  
LAST DATE FOR ENROLMENT  LAST DATE FOR ACHIEVEMENT  
20240630  20270630 
In all of the tables in this document, both the pre2009 NQF Level and the NQF Level is shown. In the text (purpose statements, qualification rules, etc), any references to NQF Levels are to the pre2009 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 is designed to model growth problems using financial formulae and population models in mathematical and contextual situations.
A person credited with this unit standard is able to: In order to see this unit standard with its exact formulae, please use the link at the end of the Searchable Database home page. SAQA is in the process of adapting the National Learners' Records Database to accommodate such formulae. 
LEARNING ASSUMED TO BE IN PLACE AND RECOGNITION OF PRIOR LEARNING 
Mathematics at NQF Level 4: Specifically logarithms. 
UNIT STANDARD RANGE 
Growth problems refer to positive and negative growth, and simple and compound growth. 
Specific Outcomes and Assessment Criteria: 
SPECIFIC OUTCOME 1 
Solve annuity problems involving changing circumstances. 
OUTCOME RANGE 
Changing circumstances include but are not limited to changes in time periods, repayments, withdrawals or interest rates. 
ASSESSMENT CRITERIA 
ASSESSMENT CRITERION 1 
The number of instalments is determined using logarithms on the calculator. 
ASSESSMENT CRITERION 2 
Timelines are formulated to support the conceptualisation of problems involving changing circumstances. 
ASSESSMENT CRITERION 3 
The number of payments and the final payment of a loan is calculated for fixed instalment loans. 
ASSESSMENT CRITERION 4 
Problems involving changing circumstances and time periods are solved by manipulating formulae or summing series. 
SPECIFIC OUTCOME 2 
Solve population increase and decrease problems using simple discrete population models. 
ASSESSMENT CRITERIA 
ASSESSMENT CRITERION 1 
Simple population increase or decrease is modelled using discrete Malthusian population models. 
ASSESSMENT CRITERION RANGE 
Models are of the form (as shown in the MS Word document). 
ASSESSMENT CRITERION 2 
Simple population increase or decrease is modelled using discrete logistic population models. 
ASSESSMENT CRITERION RANGE 
Models are of the form (as shown in the MS Word document). 
ASSESSMENT CRITERION 3 
A realistic population scenario is evaluated in order to select the most suitable model. 
ASSESSMENT CRITERION RANGE 
Models include Malthusian and logistic. 
ASSESSMENT CRITERION 4 
The selected model is applied to the given scenario. 
SPECIFIC OUTCOME 3 
Analyse and solve population increase and decrease problems using a discrete two species LotkaVolterra predatorprey population model. 
OUTCOME RANGE 
LotkaVolterra predatorprey population models are of the form (See the formula shown in the MS Word document) and (See the formula shown in the MS Word document). 
ASSESSMENT CRITERIA 
ASSESSMENT CRITERION 1 
Simple population increase or decrease problems are modelled using a discrete two species LotkaVolterra predatorprey population model written in simple difference equation form. 
ASSESSMENT CRITERION 2 
Spiral graphs of LotkaVolterra predatorprey population models are analysed to determine the equilibrium point. 
ASSESSMENT CRITERION 3 
Periodic graphs of LotkaVolterra predatorprey population models are analysed to determine population of growth and decline cycles. 
ASSESSMENT CRITERION 4 
A realistic population scenario is evaluated in order to select the most suitable model. 
ASSESSMENT CRITERION RANGE 
Models include Malthusian, logistic and LotkaVolterra. 
ASSESSMENT CRITERION 5 
The selected model is applied to the given scenario. 
UNIT STANDARD ACCREDITATION AND MODERATION OPTIONS 
UNIT STANDARD ESSENTIAL EMBEDDED KNOWLEDGE 
Solve population growth and decay problems using simple discrete population models such as:
Formulate and apply mathematical models and formulae to various contexts in order to solve problems that occur in various situations. 
UNIT STANDARD DEVELOPMENTAL OUTCOME 
N/A 
UNIT STANDARD LINKAGES 
N/A 
Critical Crossfield Outcomes (CCFO): 
UNIT STANDARD CCFO IDENTIFYING 
Identifying and solving problems in which responses display that responsible decisions using critical and creative thinking have been made when:

UNIT STANDARD CCFO WORKING 
Working effectively with others as a member of a team, group, organisation, and community during:

UNIT STANDARD CCFO ORGANISING 
Organising and managing oneself and one's activities responsibly and effectively when:

UNIT STANDARD CCFO COLLECTING 
Collecting, analysing, organising and critically evaluating information to better understand and explain:

UNIT STANDARD CCFO COMMUNICATING 
Communicating effectively using visual, mathematical and/or language skills in the modes of oral and/or written persuasion when:

UNIT STANDARD CCFO SCIENCE 
Using science and technology effectively and critically, showing responsibility towards the environment and health of others when:

UNIT STANDARD CCFO DEMONSTRATING 
Demonstrating an understanding of the world as a set of related systems by recognising that problemsolving contexts do not exist in isolation when:

UNIT STANDARD ASSESSOR CRITERIA 
N/A 
REREGISTRATION HISTORY 
As per the SAQA Board decision/s at that time, this unit standard was Reregistered in 2012; 2015. 
UNIT STANDARD NOTES 
Notes to Assessors:
Assessors should keep the following general principles in mind when designing and conducting assessments against this unit standard: All assessments should be constructed in line with the following well documented principles of assessment: appropriateness, fairness, manageability, integration into work or learning. Assessment should be valid, direct, authentic, sufficient, systematic, open and consistent. 
QUALIFICATIONS UTILISING THIS UNIT STANDARD: 
ID  QUALIFICATION TITLE  PRE2009 NQF LEVEL  NQF LEVEL  STATUS  END DATE  PRIMARY OR DELEGATED QA FUNCTIONARY  
Core  65649  National Certificate: Official Statistics  Level 5  Level TBA: Pre2009 was L5  Passed the End Date  Status was "Reregistered" 
20230630  PSETA 
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. 