SECTION 3: CURRICULUM COMPONENT SPECIFICATIONS
SECTION 3A: KNOWLEDGE MODULE SPECIFICATIONS

2. 251201004-KM-02, Basic Calculations and Logical Thinking Revision, NQF Level 4, Credits 4
2.1 Purpose of the Knowledge Module
The main focus of the learning in this knowledge module is to acquire mathematical thinking theory for solving problems and acquire basic maths knowledge for using software toolkits or platforms.
The learning will enable learners to demonstrate an understanding of:
– KM-02-KT01 : Mathematical thinking skills for problem solving 15%
– KM-02-KT02 : Conversion between decimal and binary systems 5%
– KM-02-KT03 : Expressing size and magnitude 5%
– KM-02-KT04 : Error in calculations 10%
– KM-02-KT05 : Cartesian coordinate system 10%
– KM-02-KT06 : Pythagorean theorem for finding the distance between two points 5%
– KM-02-KT07 : Operator precedence 10%
– KM-02-KT08 : Integer division 10%
– KM-02-KT09 : Modulus 10%
– KM-02-KT10 : Increments 10%
– KM-02-KT11 : Mixing types 10%

2.2 Guidelines for Topics
2.2.1 KM-02-KT01 : Mathematical thinking skills for problem solving 15%
Topic elements to be covered include:
– KT0101 Benefits of mathematics
– KT0102 Mathematical thinking steps for solving problems:
– Break task down into components
– Identify similar tasks that may help
– Identify appropriate knowledge and skills
– Identify assumptions
– Select appropriate strategy
– Consider alternative approaches
– Look for a pattern or connection
– Generate examples
Internal Assessment Criteria and Weight
– IAC0101 Problem solving as a complex and reiterative process is reasoned
(Weight 15%)

2.2.2 KM-02-KT02 : Conversion between decimal and binary systems 5%
Topic elements to be covered include:
– KT0201 Introduction to binary numbers
– KT0202 Perform addition and subtraction of positive whole numbers in binary
– KT0203 Binary arithmetic
– KT0204 Use of BODMAS
Internal Assessment Criteria and Weight

– IAC0201 Conversions between decimal and binary systems and the application thereof are explained (Weight 5%)

2.2.3 KM-02-KT03 : Expressing size and magnitude 5%
Topic elements to be covered include:
– KT0301 Use scientific notation for small and large numbers
– KT0302 Prefixes: From Giga to Pica (109 to 10 -12)
– KT0303 Conversions: SI to Imperial: degrees F to degrees C
Internal Assessment Criteria and Weight
– IAC0301 Different ways to express size and magnitude are explained
(Weight 5%)

2.2.4 KM-02-KT04 : Error in calculations 10%
Topic elements to be covered include:
– KT0401 Rational and irrational numbers
– KT0402 Explore repeating decimals and convert them to fraction form
– KT0403 Symbols for irrational numbers
– KT0404 Rounding prematurely in calculations
– KT0405 Accuracy
– KT0406 Final value of a calculation expressed in terms of the required unit
Internal Assessment Criteria and Weight
– IAC0401 The effect of error in calculations is reasoned
(Weight 10%)

2.2.5 KM-02-KT05 : Cartesian coordinate system 10%
Topic elements to be covered include:
– KT0501 Definition
– KT0502 Terminology
– KT0503 The coordinate plane
– KT0504 Intersecting x- and y-axes
– KT0505 Four quadrants
– KT0506 Naming using Roman numerals
– KT0507 Use and application – creating graphs and maps
Internal Assessment Criteria and Weight
– IAC0501 The Cartesian coordinate system is explained in terms of application and using correct terminology (Weight 10%)

2.2.6 KM-02-KT06 : Pythagorean theorem for finding the distance between two points 5%
Topic elements to be covered include:
– KT0601 Definition
– KT0602 Terminology
– KT0603 Purpose
– KT0604 Determine the distance between two points on the Cartesian grid.
Internal Assessment Criteria and Weight
– IAC0601 The Pythagorean theorem is explained in terms of application and using correct terminology (Weight 5%)

2.2.7 KM-02-KT07 : Operator precedence 10%
Topic elements to be covered include:
– KT0701 Definition and terminology
– KT0702 Purpose and use
– KT0703 Order of operations (left to right)
– KT0704 Apply precedence:
– Parentheses
– Multiply and divide
– Add and subtract
– KT0705 Use of PEDMAS in programming
Internal Assessment Criteria and Weight
– IAC0701 Operator precedence is explained in terms of application and using correct terminology (Weight 10%)

2.2.8 KM-02-KT08 : Integer division 10%
Topic elements to be covered include:
– KT0801 Definition and terminology
– KT0802 Purpose and use
– KT0803 Rules on how to divide integers
– KT0804 Names and symbols for integer division
– KT0805 Software for integer division
Internal Assessment Criteria and Weight
– IAC0801 Integer division is explained in terms of application and using correct terminology and symbols (Weight 10%)

2.2.9 KM-02-KT09 : Modulus 10%
Topic elements to be covered include:
– KT0901 Definition and terminology
– KT0902 Purpose and use
– KT0903 Modulus abbreviated as “mod”
– KT0904 % application
– KT0905 (==) application
– KT0906 Modulus in programming
Internal Assessment Criteria and Weight
– IAC0901 Modulus is explained in terms of application and using correct terminology and symbols (Weight 10%)

2.2.10 KM-02-KT10 : Increments 10%
Topic elements to be covered include:
– KT1001 Definition and terminology
– KT1002 Purpose and use
– KT1004 Increment a variable
– KT1004 Compound assignment operator
– KT1005 Increments in programming
Internal Assessment Criteria and Weight
– IAC1001 Increments are explained in terms of application and using correct terminology and symbols (Weight 10%)

2.2.11 KM-02-KT11 : Mixing types 10%
Topic elements to be covered include:
– KT1101 Definition and terminology
– KT1102 Purpose and use
– KT1103 Applying an operator
– KT1104 Combination with the order of operations
– KT1105 The order in which an expression is written
– KT1106 How a computer would evaluate some expressions that combine types
Internal Assessment Criteria and Weight
– IAC1101 Mixing types are explained in terms of application and using correct terminology and symbols (Weight 10%)

2.3 Provider Programme Accreditation Criteria
Physical Requirements:

The provider must have lesson plans and structured learning material or provide learners with access to structured learning material that addresses all the topics in all the knowledge modules as well as the applied knowledge in the practical skills.
– QCTO/ MICT SETA requirements
Human Resource Requirements:
– Lecturer/learner ratio of 1:20 (Maximum)
– Qualification of lecturer (SME):
o NQF 6 in industry recognised qualifications with 1 year’s experience in the IT industry
o RPA vendor certification
– Assessors and moderators: accredited by the MICT SETA
Legal Requirements:
– Legal (product) licences to use the software for learning and training
– OHS compliance certificate
– Ethical clearance (where necessary)
2.4 Exemptions
– No exemptions, but the module can be achieved in full through a normal RPL process