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 and interpret mathematical models in different contexts 
SAQA US ID UNIT STANDARD TITLE
7452  Describe, represent and interpret mathematical models in different contexts 
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 4  Regular-Fundamental  Level 1  NQF Level 01 
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 
People credited with this unit standard are able to:

Describe and represent relationships in a variety of contexts usng tables;
Describe and represent relationships in a variety of contexts using simple algebraic expressions and/or equations;
Describe and represent relationships in a variety of contexts using graphs;
Describe and represent relationships in a variety of contexts geometrically;
Analyse and explain the behaviour of graphs in terms of increasing and decreasing trends;
Analyse and explain the behaviour of general algebraic equations and formulae in terms of increasing and decreasing relationships between variables. 

LEARNING ASSUMED TO BE IN PLACE AND RECOGNITION OF PRIOR LEARNING 
The following learning at ABET Numeracy level 3 is assumed to be in place:

Construct and use tables and graph to organise and interpret information. 

UNIT STANDARD OUTCOME HEADER 
Describe and represent relationships in a variety 

Specific Outcomes and Assessment Criteria: 

SPECIFIC OUTCOME 1 
Describe and represent relationships in a variety of contexts using tables. 
OUTCOME RANGE 
Simple linear, quadratic and exponential relationships. Relationships may be given in the form of words, equations, and graphs or as a result of experiments. 

ASSESSMENT CRITERIA
 

ASSESSMENT CRITERION 1 
1. Independent and dependent variables are identified. 

ASSESSMENT CRITERION 2 
2. The descriptions are consistent with the given relationship. 

ASSESSMENT CRITERION 3 
3. The representation is consistent with the given relationship. 

ASSESSMENT CRITERION 4 
4. Sufficient information is represented in such a way that the relationship is evident. 

SPECIFIC OUTCOME 2 
Describe and represent relationships in a variety of contexts using simple algebraic expressions. 
OUTCOME NOTES 
Describe and represent relationships in a variety of contexts using simple algebraic expressions and/or equations. 
OUTCOME RANGE 
Simple linear, quadratic and exponential relationships. Relationships may be given in the form of words, tables, and graphs or as a result of experiments. 

ASSESSMENT CRITERIA
 

ASSESSMENT CRITERION 1 
1. Independent and dependent variables are identified. 

ASSESSMENT CRITERION 2 
2. The descriptions are consistent with the given relationship. 

ASSESSMENT CRITERION 3 
3. The representation is consistent with the given relationship. 

ASSESSMENT CRITERION 4 
4. Sufficient information is represented in such a way that the relationship is evident. 

SPECIFIC OUTCOME 3 
Describe and represent relationships in a variety of contexts using graphs. 
OUTCOME RANGE 
Simple linear, quadratic and exponential relationships and simple cyclical relationships such as trig functions.
Number lines for inequalities.
Relationships may be given in the form of words, tables, and equations or as a result of experiments. 

ASSESSMENT CRITERIA
 

ASSESSMENT CRITERION 1 
1. Independent and dependent variables are identified. 

ASSESSMENT CRITERION 2 
2. The descriptions are consistent with the given relationship. 

ASSESSMENT CRITERION 3 
3. The representation is consistent with the given relationship. 

ASSESSMENT CRITERION 4 
4. Sufficient information is represented such that the relationship is evident. 

SPECIFIC OUTCOME 4 
Describe and represent relationships in a variety of contexts geometrically. 
OUTCOME RANGE 
Heights and distances using right-angled triangles. 

ASSESSMENT CRITERIA
 

ASSESSMENT CRITERION 1 
1. The descriptions are consistent with the given relationship. 

ASSESSMENT CRITERION 2 
2. The representation is consistent with the given relationship. 

ASSESSMENT CRITERION 3 
3. Sufficient information is represented in such a way that the relationship is evident. 

SPECIFIC OUTCOME 5 
Analyse and explain the behaviour of graphs in terms of increasing and decreasing trends. 
OUTCOME RANGE 
Limited to situations where the information can be directly read off the graph. 

ASSESSMENT CRITERIA
 

ASSESSMENT CRITERION 1 
1. The variables are identified. 

ASSESSMENT CRITERION 2 
2. The potential or existing relationships between variables are described. 

ASSESSMENT CRITERION 3 
3. The increasing and decreasing trends are described. 

ASSESSMENT CRITERION 4 
4. The maximum and minimum are identified. 

SPECIFIC OUTCOME 6 
Analyse and explain the behaviour of general algebraic equations and formulae. 
OUTCOME RANGE 
Linear and quadratic equations. 

ASSESSMENT CRITERIA
 

ASSESSMENT CRITERION 1 
1. The dependent and independent variables are identified. 

ASSESSMENT CRITERION 2 
2. The potential or existing relationships between variables are described. 

ASSESSMENT CRITERION 3 
3. The increasing and decreasing trends are described. 



Critical Cross-field Outcomes (CCFO): 

UNIT STANDARD CCFO IDENTIFYING 
Identify and solve mathematical problems in which responses display that responsible decisions using critical and creative thinking have been made. 

UNIT STANDARD CCFO ORGANISING 
Organise and manage oneself and one`s activities responsibly and effectively. 

UNIT STANDARD CCFO COLLECTING 
Collect, analyse, organise and critically evaluate the behaviour of graphs and algebraic equations and formulae in different contexts. 

UNIT STANDARD CCFO COMMUNICATING 
Communicate effectively using mathematical models in different contexts. 

UNIT STANDARD CCFO DEMONSTRATING 
Understand the world as a set of related systems by recognising that problem-solving contexts do not exist in isolation. 

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  71751   General Education and Training Certificate: Adult Basic Education and Training  Level 1  NQF Level 01  Passed the End Date -
Status was "Reregistered" 
2020-09-16  As per Learning Programmes recorded against this Qual 
Fundamental  73249   General Education and Training Certificate: Adult Basic Education and Training: Academic Curriculum  Level 1  NQF Level 01  Reregistered  2021-06-30  UMALUSI 
Fundamental  23193   GETC in Ancillary Health Care  Level 1  NQF Level 01  Passed the End Date -
Status was "Registered" 
2005-02-13  Was HW SETA until Last Date for Achievement 
Fundamental  24296   National Certificate: Construction: Installation of Floor Coverings  Level 1  NQF Level 01  Reregistered  2023-06-30  CETA 
Fundamental  22977   National Certificate: Construction: Roadworks  Level 1  NQF Level 01  Passed the End Date -
Status was "Registered" 
2005-12-04  CETA 
Fundamental  21798   Certificate: Telecommunications for Customer Premises Equipment  Level 2  NQF Level 02  Passed the End Date -
Status was "Reregistered" 
2009-10-03  Was MICTS until Last Date for Achievement 
Elective  23253   National Certificate (GETC): Manufacturing, Engineering and Related Activities  Level 1  NQF Level 01  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. Alvern Cables (Pty) Ltd (GERMISTON) (TP) 
2. BMW SA (Pty) Ltd (ROSSLYN) (TP) 
3. Boland College Head Office 
4. Bridgestone South Africa (Pty) Ltd - Brits Plant (BRITS) (TP) 
5. Bridgestone South Africa (Pty) Ltd - Isando Branch (ISANDO) (TP) 
6. Bridgestone South Africa (Pty) Ltd - PE Plant (PORT ELIZABETH) (TP) 
7. CAPE COLLEGE 
8. Coastal Kzn F.E.T. College - Swinton Road Campus 
9. Coastal Kzn F.E.T. College - Umbumbulu Campus 
10. College of Production Technology 
11. Continental Tyres SA (Pty) Ltd (NEW BRIGHTON) (TP) 
12. Contra-Lit Pty Ltd 
13. D Z D TRADING AND PROJECTS 24 
14. DEW CRISP PTY LTD 
15. Eastcape Midlands Public FET College - Uitenhage (High Street)Campus 
16. Eastcape Training Centre 
17. Edutel Wholesale & Retail Academy 
18. False Bay Public FET College - Westlake Campus 
19. First Car Care (Pty) Ltd T/A STi Autobody Repairers (GOODWOOD) (TP) 
20. Golden Ratio College 
21. Goodyear SA (Pty) Ltd (UITENHAGE) (TP) 
22. GPR Training Academy (Pty) Ltd 
23. Industries Education & Training Institute (MAITLAND) (TP) 
24. INSTITUTE FOR QUALITY EDUCATION, TRAINING & DEVELOPMENT: FLORIDA 
25. INTERACTIVE TUTOR (PTY) LIMITED 
26. Izizwe Training Centre (Pty) Ltd T/A Simtech Training (NORTHDENE) (TP) 
27. JESUA CONSULTANTS (Hartenbos) (WA) 
28. Jesua Consultants (Pty) Ltd (MOSSEL BAY) (TP) 
29. JMC TECHNICAL TRAINING (Bloemfontein)(TP) 
30. Knowledge For Ever 
31. Maluti FET College - Central Office 
32. Marang Women in Agric and Development 
33. Montshepetsa Bosui Farming & Training Cnt 
34. MT & HR Training Consultants (Pty) Ltd (DURBAN) (TP) 
35. Mthashana FET College - Vryheid Campus 
36. Nissan SA (Pty) Ltd (ROSSLYN) (TP) 
37. NOFESA cc 
38. Northlink College - Protea Campus 
39. Northlink College - Wingfield Campus 
40. Port Elizabeth Draughting Academy & Trading cc T/A PE Draughting Acade 
41. Production Management Institute 
42. Production Management Institute of Southern Africa (PMI) 
43. Production Management Institute of Southern Africa (PMI) - Johannesburg 
44. Production Management Institute of Southern Africa - Durban 
45. PRODUCTION MANAGEMENT INSTITUTE SA PTY LTD (PORT ELIZABETH) 
46. Sabela Learning Academy 
47. Scaw Metals Group (Pty) Ltd T/A Scaw Metals (DINWIDDIE) (TP) 
48. Scientific Roets (Pty) Ltd 
49. South Cape Public FET College - George Campus 
50. SSS Sheet Metal Work cc T/A Sheetech SA (DURBAN) (TP) 
51. Swift Skills Academy (SASOLBURG) (TP) 
52. Tekmation (Pty) Ltd T/A Tekmation Training Institute (DURBAN) (TP) 
53. Training Force (Pty) Ltd 
54. Training Force (Pty) Ltd (Durban) (TP) 
55. Triple E Training Holdings (Pty) Ltd (KRUGERDORP) (TP) 
56. Uluntu Skills Development Centre 
57. Wide Horizon Advanced Training (PORT ELIZABETH) (TP) 
58. Wilbat Projects 148 (Pty) Ltd (ISIPINGO) (TP) 
59. WISPECO ALUMINIUM (Alrode)(Project Site NVC)(TP) 



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.