1. 1 Commissioned by PAMSA and German Technical Co-Operation National Certificate in Paper & Pulp Manufacturing NQF Level 3 Measure, estimate and calculate physical quantities and explore, describe and represent, interpret and justify geometrical relationships in two and three- dimensional space relevant to the life or workplace of the community

2. 2 Commissioned by PAMSA and German Technical Co-Operation National Certificate in Paper & Pulp Manufacturing NQF Level 3 US:9013 Measure, estimate and calculate physical quantities and explore, describe and represent, interpret and justify geometrical relationships in two and three-dimensional space relevant to the life or workplace of the community Notional Hours Total Notional Hours ModulesTopics TF308.01 Understanding properties of geometric shapes TF308.02 Measuring, estimating and calculating length, area, volume, mass, time, temperature and speed TF308.03 Using and interpreting basic engineering drawings 10 15 40 P&P3FM Geometric shapes P&P3FM Measure, estimate, calculate P&P3FM Interpreting engineering drawings

3. 3 Commissioned by PAMSA and German Technical Co-Operation National Certificate in Paper & Pulp Manufacturing NQF Level 3 TF308.01 Understanding properties of geometric shapes 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, classify, draw geometric figures Be able to visualize and present geometric properties of two- and three- dimensional figures Be able to recognise, describe and analyse geometric shapes and their functions in the workplace Be able to identify, measure and visualize geometric figures and their component parts Be able to use geometrical relations and conjectures to solve problems in 2 and 3 dimensional geometrical situations Understand the concepts and terminology Understand the Cartesian co-ordinate system and use thereof to describe relationships in 2-dimensions US: 9013 Measure, estimate and calculate physical quantities and explore, describe and represent, interpret and justify geometrical relationships in two and three-dimensional space relevant to the life or workplace of the community

4. 4 Commissioned by PAMSA and German Technical Co-Operation National Certificate in Paper & Pulp Manufacturing NQF Level 3 Topic Specification: TF 308.01 Understanding properties of geometric shapes 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 solutions 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: Recognise, represent and use geometric figures and their properties in the workplace Solve dimensional problems in the workplaceGeometric shapes identified Shapes and their functions in the workplace correctly analysed and described Conjectures based on well planned investigations of geometrical shapes Assignment Description WHATWHAT HOW Notional Hours 10 Group and nidividual exercise to identify/recognise, describe and analyse geometric shapes presented by the facilitator. Once all the shapes are correctly identified, learners need to find the same/similar shapes in their workplace 1.Facilitator to provide examples of each geometrical shape 2.Group need to identify, describe and analyse shapes to solve 2 dimensional problems 3.Group need to find similar/same shapes in the workplace and list them 4.Group discussion on how to solve dimensional problems 5.Draft a short report on the solutions discussed

5. 5 Commissioned by PAMSA and German Technical Co-Operation National Certificate in Paper & Pulp Manufacturing NQF Level 3 TF308.02 Measuring, estimating and calculating length, area, volume, mass, time, temperature and speed 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 areas and volumes Know the basic workplace instruments to measure, estimate and calculate quantities Be able to estimate the area and volume of simple irregular shapes and objects Be able to calculate the effects on area and volume when altering linear dimensions Be able to calculate the surface areas and volumes of right prisms Be able to calculate heights Be able to calculate circular and straight lines Be able to calculate time and speedBe able to calculate temperature Be able to calculate mass Be able to use mass, volume, temperature, distance and speed values in the workplace Be able to calculate throughput of process in terms of number and mass Be able to read scales correctly US: 9013 Measure, estimate and calculate physical quantities and explore, describe and represent, interpret and justify geometrical relationships in two and three-dimensional space relevant to the life or workplace of the community

6. 6 Commissioned by PAMSA and German Technical Co-Operation National Certificate in Paper & Pulp Manufacturing NQF Level 3 Topic Specification: TF308.02 Measuring, estimating and calculating length, area, volume, mass, time, temperature and speed 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 apply the knowledge of measuring, estimating and calculating physical qualities in the workplace Are able to correctly read scales on measuring instruments Are able to choose appropriate instruments to measure quantity Are able to carry out calculations correctly Are able to use appropriate instruments Are able to use correct symbols and units Assignment Description WHATWHAT HOW Notional Hours 15 Group and individual exercise to measure, estimate and calculate selected workplace examples in terms of height, area, volume, mass, speed, time and temperature 1.Individuals get a worksheet with a number of exercises to calculate physical quantities 2.Complete the relevant worksheets 3.Answers discussed in a group 4.As a group they will be given examples in the workplace that they need to calculate 5.Feedback given to discuss accuracy of answers

7. 7 Commissioned by PAMSA and German Technical Co-Operation National Certificate in Paper & Pulp Manufacturing NQF Level 3 TF308.03 Using and interpreting basic engineering drawings 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 interpret basic engineering drawings of plan Be able to draw road maps relevant to the community Understand basic concepts of drawings and the symbols and units used US: 9013 Measure, estimate and calculate physical quantities and explore, describe and represent, interpret and justify geometrical relationships in two and three-dimensional space relevant to the life or workplace of the community Be able to make sketches of common tools and equipment Be able to read simple line drawings of processing equipment or parts of the system

8. 8 Commissioned by PAMSA and German Technical Co-Operation National Certificate in Paper & Pulp Manufacturing NQF Level 3 Topic Specification: TF 308.03 Using and interpreting basic engineering drawings 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: Be able to draw, interpret and use basic engineering drawings Be able to interpret symbols correctly Be able to make basic sketches of tools and equipment (scales need to to be 100%) Assignment Description WHATWHAT HOW Notional Hours 15 Individuals exercise to draw a basic engineering drawing of a common tool or part and and interpret basic drawings of a machine used in the process 1.Learners to draw a basic drawing of a common tool or part provided by the facilitator 2.Learners to interpret a basic drawing of a machine and explain symbols used 3.In the workplace learners should identify parts on the sketch/drawing and indicate it on the machine