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Demonstrate understanding of the use of different number bases and measurement units and an awareness of error in the context of relevant calculations. P&P3FM Geometric shapes. P&P3FM Measure, estimate, calculate. P&P3FM Interpreting engineering drawings.

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Notional Hours

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  1. Demonstrate understanding of the use of different number bases and measurement units and an awareness of error in the context of relevant calculations

  2. P&P3FM Geometric shapes P&P3FM Measure, estimate, calculate P&P3FM Interpreting engineering drawings 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 Topics Modules Notional Hours 2 5 5 5 3 20 TF307.01 Understanding the mathematical relationship and principles involved in computations TF307.02 Understanding scientific notation TF307.03 Applying physics concepts to calculate thermal transfer TF307.04 Applying physics and and chemistry concepts to control pressure TF307.05 Understanding the effect of error in calculations Total Notional Hours

  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 Critical Cross-field Outcomes TF307.01 Understanding the mathematical relationship and principles involved in computations Identify and solve problems Work effectively with others Communicate effectively Organise and manage myself and my activities Understand the binary number format (bit, nibble, byte etc) Collect, analyse, organise and critically evaluate information Be able to perform addition and subtraction of positive whole numbers in binary up to 100002 (16 in decimal) Use science and technology effectively and critically Be able to convert from the binary to the decimal system Demonstrate an understanding of the world as a set of related systems Understand the difference between the binary number system and the decimal number system Understand where the binary logic is used Use mathematics Learner and societal development

  4. Notional Hours 2 Topic Specification: TF307.01 Themathematical relationship and principles involved in computations Learning Activities Assignment Description Topic assessment criteria Use Multi media WHAT • 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 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 Self Study Plant investigation Collect Information Media search Interview experts Attend lectures HOW Group Discussions • Obtain relevant information from the internet or by interviewing the IT specialist in the company • Study information and prepare a short presentation to co-workers Sketch Case studies Analyse, plan and make decisions Compile lists Develop recommendations Job assignment Make presentation Complete documents Execute, test and evaluate Draft a report Complete a questionnaire

  5. 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 Critical Cross-field Outcomes TF307.02 Understanding scientific notation Identify and solve problems Work effectively with others Communicate effectively Organise and manage myself and my activities Be able to convert between degrees F and degrees C Collect, analyse, organise and critically evaluate information Be able to relate units to decimal system Be able to convert between units in different measurement systems Use science and technology effectively and critically Understand the concepts Pico, Nano, Micro, Milli, Killo, Mega and Niga units Demonstrate an understanding of the world as a set of related systems Know the basic engineering and scientific notations Know the SI units and its purpose Use mathematics Learner and societal development

  6. Notional Hours 3 Topic Specification: TF 307.02 Understanding scientific notation Learning Activities Assignment Description Topic assessment criteria Use Multi media WHAT • 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 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 Self Study Plant investigation Collect Information Media search Interview experts Attend lectures HOW Group Discussions • Identify the different measuring instruments used in the workplace and list what they are used for • Prepare guidelines on the calculations to be made when converting between units in the different measuring systems Sketch Case studies Analyse, plan and make decisions Compile lists Develop recommendations Job assignment Make presentation Complete documents Execute, test and evaluate Draft a report Prepare guidelines

  7. 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 Critical Cross-field Outcomes TF307.03 Applying physic concepts to calculate thermal transfer Identify and solve problems Work effectively with others Understand the effects of overheating, excessive shear Communicate effectively Organise and manage myself and my activities Be able to calculate heat transfer in different metals, thermal expansion and contraction, tolerance allowed for expansion and contraction Collect, analyse, organise and critically evaluate information Use science and technology effectively and critically Know the instruments to measure heat (heater controllers, thermocouples, pyrometers) Understanding the concepts of heat, thermal transfer, expansion and contraction and specific heat Demonstrate an understanding of the world as a set of related systems Use mathematics Learner and societal development

  8. Notional Hours 2 Topic Specification: TF 307.03 Applying physics concepts to calculate thermal transfer Learning Activities Assignment Description Topic assessment criteria Use Multi media WHAT • 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 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. Self Study Plant investigation Collect Information Media search Interview experts HOW Attend lectures 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. Group Discussions Sketch Case studies Analyse, plan and make decisions Compile lists Develop recommendations Job assignment Make presentation Complete documents Execute, test and evaluate Draft a report Complete a questionnaire

  9. 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 Critical Cross-field Outcomes TF307.04 Applying physics concepts to control pressure Identify and solve problems Work effectively with others Communicate effectively Organise and manage myself and my activities Be able to calculate force, moments of force, pressure and torque power Collect, analyse, organise and critically evaluate information Use science and technology effectively and critically Be able to use pressure gauges Understand the concepts of force, moments of force, pressure and torque power, levels and friction Demonstrate an understanding of the world as a set of related systems Use mathematics Learner and societal development

  10. Notional Hours 2 Topic Specification: TF307.04 Applying physics and and chemistry concepts to control pressure Learning Activities Assignment Description Topic assessment criteria Use Multi media WHAT • 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 Learners study material related to various aspects of force, moments and power consumed and tabulate the main principles. Examples are studied and problems solved. Self Study Plant investigation Collect Information Media search Interview experts HOW Attend lectures 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. Group Discussions Sketch Case studies Analyse, plan and make decisions Compile lists Develop recommendations Job assignment Make presentation Complete documents Execute, test and evaluate Draft a report Complete a questionnaire

  11. 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 Critical Cross-field Outcomes TF307.05 Understanding the effect of error in calculations Identify and solve problems Work effectively with others Be able to explain the effects of using incorrect units Communicate effectively Be able to explain the effects of incorrect rounding of in calculating pressure and thermal heat and other production calculations Organise and manage myself and my activities Collect, analyse, organise and critically evaluate information Know the common errors, effects and remedies in rounding of incorrectly Use science and technology effectively and critically Be able to identify the rounding off position Understand the need to determine the rounding off position in relation to the practical context Demonstrate an understanding of the world as a set of related systems Be able to convert repeating decimals to common fraction form Know the symbols used for irrational numbers Understand the concepts of estimation, approximation, scientific notation and how it is applied in the workplace Use mathematics Learner and societal development

  12. Notional Hours 2 Topic Specification: TF 307.05 Understanding the effect of error in calculations Learning Activities Assignment Description Topic assessment criteria Use Multi media WHAT • 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 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 Self Study Plant investigation Collect Information Media search Interview experts Attend lectures HOW Group Discussions • Obtain data and formulae • Do calculations as per the question sheet provided • Explain the impact of incorrect calculations on business including rejects, machine efficiency, interest etc • Present findings in a group discussion • Determine the areas where improvement is required and draft a short report on your findings Sketch Case studies Analyse, plan and make decisions Compile lists Develop recommendations Job assignment Make presentation Complete documents Execute, test and evaluate Draft a report Complete a questionnaire

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