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: 
Find the derivatives and integrals of a range of functions including the trigonometric functions and apply these to problems 
SAQA US ID  UNIT STANDARD TITLE  
7481  Find the derivatives and integrals of a range of functions including the trigonometric functions and apply these to 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 4  NQF Level 04  4 
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 standard will be useful to people who aim to achieve recognition at level 4 in Further Education and Training or to meet the Fundamental requirement of a wide range of qualifications registered on the National Qualifications Framework.
People credited with this unit standard are able to: 
LEARNING ASSUMED TO BE IN PLACE AND RECOGNITION OF PRIOR LEARNING 
The credit value is based on the assumption that people starting to learn towards this unit standard are competent in Unit Standard Math 4002B. 
UNIT STANDARD RANGE 
This unit standard includes the requirement to:

Specific Outcomes and Assessment Criteria: 
SPECIFIC OUTCOME 1 
Use radian measure in working with trigonometric functions. 
OUTCOME RANGE 
This outcome includes the requirement to:

ASSESSMENT CRITERIA 
ASSESSMENT CRITERION 1 
1. Angles are expressed correctly in terms of radians. 
ASSESSMENT CRITERION 2 
2. Acceptable proofs of identities are given. 
ASSESSMENT CRITERION 3 
3. Equations are solved correctly and solutions are given in radians. 
SPECIFIC OUTCOME 2 
Analyse and represent mathematical and contextual situations using derivatives and curve sketching. 
OUTCOME RANGE 
This outcome includes the requirement to:
"A function that is differentiable at a point is continuous at that point", and examples to indicate that the converse is not valid 
ASSESSMENT CRITERIA 
ASSESSMENT CRITERION 1 
1. The definition of continuity at a point is used correctly. 
ASSESSMENT CRITERION 2 
2. Sketches are used appropriately to illustrate issues relating to continuity and differentiability. 
ASSESSMENT CRITERION 3 
3. The basic derivatives for the trigonometric functions are found by correct application of first principles. 
ASSESSMENT CRITERION 4 
4. The rules for differentiation are used efficiently and correctly. 
ASSESSMENT CRITERION 5 
5. Representations conform to the reality of the given situations. 
ASSESSMENT CRITERION RANGE 
Symbolic and graphical representations. 
SPECIFIC OUTCOME 3 
Analyse and represent mathematical and contextual situations using integrals and curve sketching. 
OUTCOME RANGE 
This includes the requirement to:
antiderivatives of suitable functions Riemann sum and relate this to the area under a curve 
ASSESSMENT CRITERIA 
ASSESSMENT CRITERION 1 
1. Antiderivatives and integrals are found by using rules and simplifications correctly. 
ASSESSMENT CRITERION 2 
2. Explanations related to Riemann sums and the fundamental theorem of the calculus are correct and supported by diagrams, numerical work and symbols as appropriate. 
ASSESSMENT CRITERION 3 
3. Representations conform to the reality of the given situations. 
ASSESSMENT CRITERION RANGE 
Symbolic and graphical representations 
SPECIFIC OUTCOME 4 
Use mathematical models involving derivatives and integrals to deal with problems. 
OUTCOME NOTES 
Use mathematical models involving derivatives and integrals to deal with problems that arise in real and abstract contexts. 
OUTCOME RANGE 
This includes the requirement to:

ASSESSMENT CRITERIA 
ASSESSMENT CRITERION 1 
1. Calculus knowledge is applied correctly in modelling the practical problem. 
ASSESSMENT CRITERION 2 
2. Relevant mathematics is used correctly to solve the model. 
ASSESSMENT CRITERION 3 
3. The results of solving the model are verified in the practical context. 
UNIT STANDARD ACCREDITATION AND MODERATION OPTIONS 
Accreditation Option: Providers of learning towards this unit standard will need to meet the accreditation requirements of the GENFETQA.
Moderation Option: The moderation option of the GENFETQA must be met in order to award credit to learners for this unit standard. 
UNIT STANDARD ESSENTIAL EMBEDDED KNOWLEDGE 
The following essential embedded knowledge will be assessed through assessment of the specific outcomes in terms of the stipulated assessment criteria. Candidates are unlikely to achieve all the specific outcomes, to the standards described in the assessment criteria, without knowledge of the listed embedded knowledge. This means that the possession or lack of the knowledge can be inferred directly from the quality of the candidate`s performance against the standards.

Critical Crossfield Outcomes (CCFO): 
UNIT STANDARD CCFO IDENTIFYING 
Solving a variety of problems based on differentiation and antidifferentiation. 
UNIT STANDARD CCFO COLLECTING 
Interpret information in order develop a corresponding mathematical model of the context. 
UNIT STANDARD CCFO COMMUNICATING 
Use everyday language and mathematical language and symbols to describe processes and in solving problems. 
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  PRE2009 NQF LEVEL  NQF LEVEL  STATUS  END DATE  PRIMARY OR DELEGATED QA FUNCTIONARY  
Fundamental  66370  Further Education and Training Certificate: Roof Truss Technology  Level 4  NQF Level 04  Passed the End Date  Status was "Reregistered" 
20150630  FPMSETA 
Fundamental  48399  Further Education and Training Certificate: Sugar Processing  Level 4  NQF Level 04  Reregistered  20230630  AgriSETA 
Fundamental  14854  National Certificate: Agric Sales and Services  Level 4  NQF Level 04  Reregistered  20230630  AgriSETA 
Fundamental  20893  National Certificate: Human Resources Management and Practices Support  Level 4  NQF Level 04  Passed the End Date  Status was "Registered" 
20050213  Was SABPP until Last Date for Achievement 
Fundamental  21792  National Diploma: Contact Centre Management  Level 5  NQF Level 05  Passed the End Date  Status was "Reregistered" 
20200730  SERVICES 
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.  Balemi Consulting Pty Ltd 
2.  Cedara College of Agriculture 
3.  ELSENBURG AGRICULTURAL COLLEGE 
4.  Mitek Industries SA ( Pty) Ltd 
5.  NWK Beperk 
6.  RCL FoodsSugar & Milling (MP) 
7.  Sekhukhune FET College  Central Office 
8.  Senwes Beperk 
9.  Suidwes Beleggings Eiendoms Beperk 
10.  VKB LANDBOU (PTY) LTD 
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. 