1 Commissioned by PAMSA and German Technical Co-Operation National Certificate in Paper & Pulp Manufacturing NQF Level 3 Demonstrate understanding of the use of different number bases and measurement units and an awareness of error in the context of relevant calculations

2 Commissioned by PAMSA and German Technical Co-Operation National Certificate in Paper & Pulp Manufacturing NQF Level 3 US:9010Demonstrate understanding of the use of different number bases and measurement units and an awareness of error in the context of relevant calculations Notional Hours Total Notional Hours ModulesTopics TF307.01Understanding the mathematical relationship and principles involved in computations TF307.02Understanding scientific notation TF307.05Understanding the effect of error in calculations TF307.03Applying physics concepts to calculate thermal transfer TF Applying physics and and chemistry concepts to control pressure P&P3FM Geometric shapes P&P3FM Measure, estimate, calculate P&P3FM Interpreting engineering drawings

3 Commissioned by PAMSA and German Technical Co-Operation National Certificate in Paper & Pulp Manufacturing NQF Level 3 US: 9010 Demonstrate understanding of the use of different number bases and measurement units and an awareness of error in the context of relevant calculations TF Understanding the mathematical relationship and principles involved in computations Critical Cross-field Outcomes Identify and solve problems Work effectively with others Communicate effectively Organise and manage myself and my activities Collect, analyse, organise and critically evaluate information Use science and technology effectively and critically Demonstrate an understanding of the world as a set of related systems Use mathematics Learner and societal development Be able to perform addition and subtraction of positive whole numbers in binary up to (16 in decimal) Understand where the binary logic is used Be able to convert from the binary to the decimal system Understand the difference between the binary number system and the decimal number system Understand the binary number format (bit, nibble, byte etc)

4 Commissioned by PAMSA and German Technical Co-Operation National Certificate in Paper & Pulp Manufacturing NQF Level 3 Topic Specification: TF The mathematical relationship and principles involved in computations Collect Information Use Multi media Self Study Plant investigation Media search Interview experts Attend lectures Analyse, plan and make decisions Group Discussions Sketch Case studies Compile lists Develop recommendations Execute, test and evaluate Job assignment Make presentation Complete documents Draft a report Complete a questionnaire Learning ActivitiesTopic assessment criteria The assessor will observe and confirm that learners: Are able to convert numbers between decimal number systems and binary number system Are able to understand of the mathematical relationship and principles involved in the computations Are able to do basic addition and subtraction calculations in the binary system Are able to explain practical applications of the decimal and binary system Assignment Description WHATWHAT HOW Notional Hours 2 A group exercise to prepare a short presentation to co-workers on the the binary logic and practical application of the decimal and binary systems 1.Obtain relevant information from the internet or by interviewing the IT specialist in the company 2.Study information and prepare a short presentation to co-workers

5 Commissioned by PAMSA and German Technical Co-Operation National Certificate in Paper & Pulp Manufacturing NQF Level 3 TF Understanding scientific notation Critical Cross-field Outcomes Identify and solve problems Work effectively with others Communicate effectively Organise and manage myself and my activities Collect, analyse, organise and critically evaluate information Use science and technology effectively and critically Demonstrate an understanding of the world as a set of related systems Use mathematics Learner and societal development Know the SI units and its purpose Understand the concepts Pico, Nano, Micro, Milli, Killo, Mega and Niga units Know the basic engineering and scientific notations Be able to convert between units in different measurement systems Be able to relate units to decimal system Be able to convert between degrees F and degrees C US: 9010 Demonstrate understanding of the use of different number bases and measurement units and an awareness of error in the context of relevant calculations

6 Commissioned by PAMSA and German Technical Co-Operation National Certificate in Paper & Pulp Manufacturing NQF Level 3 Topic Specification: TF Understanding scientific notation Collect Information Use Multi media Self Study Plant investigation Media search Interview experts Attend lectures Analyse, plan and make decisions Group Discussions Sketch Case studies Compile lists Develop recommendations Execute, test and evaluate Job assignment Make presentation Complete documents Draft a report Prepare guidelines Learning ActivitiesTopic assessment criteria The assessor will observe and confirm that learners: Are able to correctly relate prefixes indicating magnitude in measurement Are able to apply conversions between related units in different measurement systems in work context Assignment Description WHATWHAT HOW Notional Hours 3 A group exercise to prepare guidelines (work instructions) on how to convert between units in different measuring systems when using the different measuring instruments in the workplace 1.Identify the different measuring instruments used in the workplace and list what they are used for 2.Prepare guidelines on the calculations to be made when converting between units in the different measuring systems

7 Commissioned by PAMSA and German Technical Co-Operation National Certificate in Paper & Pulp Manufacturing NQF Level 3 TF Applying physic concepts to calculate thermal transfer Critical Cross-field Outcomes Identify and solve problems Work effectively with others Communicate effectively Organise and manage myself and my activities Collect, analyse, organise and critically evaluate information Use science and technology effectively and critically Demonstrate an understanding of the world as a set of related systems Use mathematics Learner and societal development Be able to calculate heat transfer in different metals, thermal expansion and contraction, tolerance allowed for expansion and contraction Understanding the concepts of heat, thermal transfer, expansion and contraction and specific heat Know the instruments to measure heat (heater controllers, thermocouples, pyrometers) Understand the effects of overheating, excessive shear US: 9010 Demonstrate understanding of the use of different number bases and measurement units and an awareness of error in the context of relevant calculations

8 Commissioned by PAMSA and German Technical Co-Operation National Certificate in Paper & Pulp Manufacturing NQF Level 3 Topic Specification: TF Applying physics concepts to calculate thermal transfer Collect Information Use Multi media Self Study Plant investigation Media search Interview experts Attend lectures Analyse, plan and make decisions Group Discussions Sketch Case studies Compile lists Develop recommendations Execute, test and evaluate Job assignment Make presentation Complete documents Draft a report Complete a questionnaire Learning ActivitiesTopic assessment criteria The assessor will observe and confirm that learners: Are able to demonstrate an understanding of physics and chemistry concepts and plastics material technology to control heat Are able to correctly apply scientific notation to determine behaviour and states at different melting points Are able to understanding of the effects of over heating and excessive shear on the quality of the products Assignment Description WHATWHAT HOW Notional Hours 2 Learners study material related to various aspects of heat and tabulate main principles. Two case studies where overheating result in mechanical shear is discussed in the group. Learners tabulate the terminology used, a short description of the meaning of each term and where applicable, symbols and units of measurement in both basic (kg, m, s) and compact format (J, N, W). Applicable formulae is listed and shortly explained. In a group discussion learners discuss two case studies where heat related stress problems need to be solved, and make recommendations to improve the objects’ design Learners study examples of different heat calculations and solve a number of given problems A short report containing tables, explanations, recommendations and test problems serve to confirm understanding of the subject matter.

9 Commissioned by PAMSA and German Technical Co-Operation National Certificate in Paper & Pulp Manufacturing NQF Level 3 TF Applying physics concepts to control pressure Critical Cross-field Outcomes Identify and solve problems Work effectively with others Communicate effectively Organise and manage myself and my activities Collect, analyse, organise and critically evaluate information Use science and technology effectively and critically Demonstrate an understanding of the world as a set of related systems Use mathematics Learner and societal development Be able to calculate force, moments of force, pressure and torque power Understand the concepts of force, moments of force, pressure and torque power, levels and friction Be able to use pressure gauges US: 9010 Demonstrate understanding of the use of different number bases and measurement units and an awareness of error in the context of relevant calculations

10 Commissioned by PAMSA and German Technical Co-Operation National Certificate in Paper & Pulp Manufacturing NQF Level 3 Topic Specification: TF Applying physics and and chemistry concepts to control pressure Collect Information Use Multi media Self Study Plant investigation Media search Interview experts Attend lectures Analyse, plan and make decisions Group Discussions Sketch Case studies Compile lists Develop recommendations Execute, test and evaluate Job assignment Make presentation Complete documents Draft a report Complete a questionnaire Learning ActivitiesTopic assessment criteria The assessor will observe and confirm that learners: Are able to correctly calculate force, moments of force, pressure and torque power Are able to correctly use measuring instruments Assignment Description WHATWHAT HOW Notional Hours 2 Learners study material related to various aspects of force, moments and power consumed and tabulate the main principles. Examples are studied and problems solved. Learners tabulate the terminology used, a short description of the meaning of each term and where applicable, symbols and units of measurement in both basic (kg, m, s) and compact format (N, J, W). Applicable formulae is listed and shortly explained. Learners study examples of different moment calculations and solve a number of given problems. In a group discussion learners contribute to solving a complex case study where multiple forces are combined in a moment problem. Learners complete a test to confirm understanding of the subject matter.

11 Commissioned by PAMSA and German Technical Co-Operation National Certificate in Paper & Pulp Manufacturing NQF Level 3 TF Understanding the effect of error in calculations Critical Cross-field Outcomes Identify and solve problems Work effectively with others Communicate effectively Organise and manage myself and my activities Collect, analyse, organise and critically evaluate information Use science and technology effectively and critically Demonstrate an understanding of the world as a set of related systems Use mathematics Learner and societal development Be able to identify the rounding off position Understand the need to determine the rounding off position in relation to the practical context Know the common errors, effects and remedies in rounding of incorrectly Be able to explain the effects of incorrect rounding of in calculating pressure and thermal heat and other production calculations Know the symbols used for irrational numbers Be able to convert repeating decimals to common fraction form Be able to explain the effects of using incorrect units Understand the concepts of estimation, approximation, scientific notation and how it is applied in the workplace US: 9010 Demonstrate understanding of the use of different number bases and measurement units and an awareness of error in the context of relevant calculations

12 Commissioned by PAMSA and German Technical Co-Operation National Certificate in Paper & Pulp Manufacturing NQF Level 3 Topic Specification: TF Understanding the effect of error in calculations Collect Information Use Multi media Self Study Plant investigation Media search Interview experts Attend lectures Analyse, plan and make decisions Group Discussions Sketch Case studies Compile lists Develop recommendations Execute, test and evaluate Job assignment Make presentation Complete documents Draft a report Complete a questionnaire Learning ActivitiesTopic assessment criteria The assessor will observe and confirm that learners: Are able to explain the common errors, effects and remedies in rounding off and conversions Are able to correctly round determining the rounding off position in relation to the practical context Are able to correctly convert between repeating decimals and common fraction form Are able to explain the use of scientific notation for small and large numbers Assignment Description WHATWHAT HOW Notional Hours 2 An individual study of data that must be calculated, rounded off and expressed as units within the work contexts. Explain the impact of incorrect calculation on business 1.Obtain data and formulae 2.Do calculations as per the question sheet provided 3.Explain the impact of incorrect calculations on business including rejects, machine efficiency, interest etc 4.Present findings in a group discussion 5.Determine the areas where improvement is required and draft a short report on your findings