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	6
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	Reregistered	2023-06-30	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	2023-06-30	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.	BOLAND COLLEGE
2.	Boland College Head Office
3.	CAPE COLLEGE
4.	Cedars Academy for Technical
5.	Coastal Kzn F.E.T. College - Swinton Road Campus
6.	College of Cape Town - Athlone Campus
7.	Continental Tyres SA (Pty) Ltd (NEW BRIGHTON) (TP)
8.	Contra-Lit Pty Ltd
9.	DEW CRISP PTY LTD
10.	Eastcape Midlands Public FET College - Uitenhage (High Street)Campus
11.	Edutel Wholesale & Retail Academy
12.	FALSE BAY TECHNICAL VOCATIONAL EDUCATION & TRAINING COLLEGE
13.	Golden Ratio College
14.	GPR Training Academy (Pty) Ltd
15.	Hlolo Entle Training and Projects (Pty) Ltd
16.	INSTITUTE FOR QUALITY EDUCATION, TRAINING & DEVELOPMENT: FLORIDA
17.	INTERACTIVE TUTOR (PTY) LIMITED
18.	JMC TECHNICAL TRAINING (Bloemfontein)(TP)
19.	Kingsbury International College (SA)
20.	Knowledge For Ever
21.	Maluti FET College - Central Office
22.	Marang Women in Agric and Development
23.	Marematlou Training Institute
24.	Masithuthuke Holdings
25.	Montshepetsa Bosui Farming & Training Cnt
26.	MT & HR Training Consultants (Pty) Ltd (DURBAN) (TP)
27.	Mthashana FET College - Vryheid Campus
28.	NOFESA cc
29.	Northlink College
30.	Northlink College - Protea Campus
31.	Port Elizabeth Draughting Academy & Trading cc T/A PE Draughting Acade
32.	Production Management Institute
33.	Production Management Institute of Southern Africa (PMI) - Johannesburg
34.	PRODUCTION MANAGEMENT INSTITUTE SA PTY LTD (PORT ELIZABETH)
35.	Professional Development and Training Institute (Pty) Ltd
36.	Retshetse Training Project
37.	RI A LINDA SECURITY SOLUTIONS
38.	Sabela Learning Academy
39.	Scientific Roets (Pty) Ltd
40.	SEOPOSENGOE TRAINING CONSULTANCY CC
41.	Shirs Vision Compleadev
42.	South Cape Public FET College - George Campus
43.	Southern African Institute of Learning (SAIL)
44.	Swift Skills Academy (SASOLBURG) (TP)
45.	Tembe Service Providers
46.	Training Force (Pty) Ltd
47.	Training Force (Pty) Ltd (Durban) (TP)
48.	Uluntu Skills Development Centre
49.	Visionary Skill Academy
50.	WISPECO ALUMINIUM (Alrode)(Project Site NVC)(TP)