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: 
Use and apply matrices and graphs to organise information and solve problems 
SAQA US ID  UNIT STANDARD TITLE  
243838  Use and apply matrices and graphs to organise information and solve problems  
ORIGINATOR  
SGB Math Literacy, Math, Math Sciences L 2 4  
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 3  NQF Level 03  2 
REGISTRATION STATUS  REGISTRATION START DATE  REGISTRATION END DATE  SAQA DECISION NUMBER  
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 will enable students to represent numerical data in a rectangular array and perform the simple operations on a matrix. The unit will also enable students to define and classify graphs.
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 
A working knowledge of the solution of simultaneous equations in two variables and representation of two dimensional geometrical figures, NQF Level 2. 
UNIT STANDARD RANGE 
N/A 
Specific Outcomes and Assessment Criteria: 
SPECIFIC OUTCOME 1 
Arrange numbers in a matrix and perform matrix operations to facilitate problem solving. 
ASSESSMENT CRITERIA 
ASSESSMENT CRITERION 1 
The matrix is used as a suitable summary of information to facilitate solving of problems. 
ASSESSMENT CRITERION 2 
Dimensions of a matrix are used to test the feasibility of matrix operations. 
ASSESSMENT CRITERION 3 
A matrix is multiplied by a scalar to alter the matrix elements by an enlargement factor. 
ASSESSMENT CRITERION 4 
Compatible matrices are added or multiplied to solve problems. 
SPECIFIC OUTCOME 2 
Solve systems of linear equations by diagonalisation or determining the inverse matrix. 
OUTCOME RANGE 
Systems of linear equations are in two variables. 
ASSESSMENT CRITERIA 
ASSESSMENT CRITERION 1 
A system of simultaneous linear equations is summarised in a matrix. 
ASSESSMENT CRITERION 2 
Simultaneous equations are solved by diagonalisation through row reduction. 
ASSESSMENT CRITERION 3 
The inverse of a 2 x 2 matrix is found using (See the formula shown in the MS Word document). 
ASSESSMENT CRITERION 4 
The inverse matrix is used to solve systems of linear equations. 
SPECIFIC OUTCOME 3 
Define different types of graphs and associated properties. 
ASSESSMENT CRITERIA 
ASSESSMENT CRITERION 1 
Graph Theory terminology is used to classify graphs according to their properties. 
ASSESSMENT CRITERION RANGE 
Terminology includes but is not limited to vertex, edge, simple, regular, connected and tree. 
ASSESSMENT CRITERION 2 
The degree of vertices of a graph are found to describe graphs. 
ASSESSMENT CRITERION 3 
A graph is drawn given the specifications of the vertices. 
ASSESSMENT CRITERION 4 
Isomorphic graphs are identified by spatial interpretation of drawn graphs. 
SPECIFIC OUTCOME 4 
Identify and use walks, paths and circuits in graphs. 
ASSESSMENT CRITERIA 
ASSESSMENT CRITERION 1 
Walks, paths and circuits are defined to classify aspects of graphs. 
ASSESSMENT CRITERION 2 
Eulerian paths or circuits are identified in graphs to inform problem solving in networks. 
ASSESSMENT CRITERION 3 
Hamiltonian circuits are identified in graphs to inform problem solving in networks. 
ASSESSMENT CRITERION 4 
Algorithms are used to test the nature of the paths and circuits in the graph. 
ASSESSMENT CRITERION RANGE 
Algorithms used include Euler's, Fleury's and Dirac's algorithms. 
UNIT STANDARD ACCREDITATION AND MODERATION OPTIONS 
UNIT STANDARD ESSENTIAL EMBEDDED KNOWLEDGE 
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 
N/A 
QUALIFICATIONS UTILISING THIS UNIT STANDARD: 
ID  QUALIFICATION TITLE  PRE2009 NQF LEVEL  NQF LEVEL  STATUS  END DATE  PRIMARY OR DELEGATED QA FUNCTIONARY  
Fundamental  64829  National Certificate: Lifting Machine Operations  Level 3  NQF Level 03  Reregistered  20230630  TETA 
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.  Babcock Plant Services Pty Ltd 
2.  Dee's Training (PTY) LTD 
3.  Diversity technology Training Institute 
4.  DQ Staffing Solutions 
5.  Edu Wize Group Pty Ltd 
6.  Excellect 209 PTY LTD 
7.  Fost Training Pty (Ltd) 
8.  Impact Skills Development (Pty) Ltd 
9.  Learning Exchange Pty Ltd 
10.  Mediro Training Academy 
11.  Mtimande & Associates 
12.  Phephani Learnerships cc 
13.  Quantum Leap College Pty Ltd 
14.  Safety Haz Training PTY Ltd 
15.  Staffing Logistics 
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. 