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K to 12 BASIC EDUCATION CURRICULUM SENIOR HIGH SCHOOL – SCIENCE, TECHNOLOGY, ENGINEERING AND MATHEMATICS (STEM) SPECIALIZED SUBJECT Grade: 12...

K to 12 BASIC EDUCATION CURRICULUM SENIOR HIGH SCHOOL – SCIENCE, TECHNOLOGY, ENGINEERING AND MATHEMATICS (STEM) SPECIALIZED SUBJECT Grade: 12 Quarters: General Physics 1 (Q1&Q2) Subject Title: General Physics 1 No. of Hours/ Quarters: 40 hours/ quarter Prerequisite (if needed): Basic Calculus Subject Description: Mechanics of particles, rigid bodies, and fluids; waves; and heat and thermodynamics using the methods and concepts of algebra, geometry, trigonometry, graphical analysis, and basic calculus PERFORMANCE LEARNING COMPETENCIES CONTENT CONTENT STANDARD CODE STANDARD 1. Units The learners demonstrate The learners are The learners... 2. Physical Quantities an understanding of... able to... 3. Measurement 1. Solve measurement problems involving STEM_GP12EU-Ia-1 4. Graphical Presentation 1. The effect of Solve, using conversion of units, expression of 5. Linear Fitting of Data instruments on experimental and measurements in scientific notation measurements theoretical 2. Differentiate accuracy from precision STEM_GP12EU-Ia-2 2. Uncertainties and approaches, 3. Differentiate random errors from systematic STEM_GP12EU-Ia-3 deviations in multiconcept, rich- errors measurement context problems 4. Use the least count concept to estimate errors 3. Sources and types of involving STEM_GP12EU-Ia-4 associated with single measurements error measurement, 5. Estimate errors from multiple measurements of 4. Accuracy versus vectors, motions in STEM_GP12EU-Ia-5 a physical quantity using variance precision 1D, 2D, and 3D, 6. Estimate the uncertainty of a derived quantity 5. Uncertainty of derived Newton’s Laws, from the estimated values and uncertainties of STEM_GP12EU-Ia-6 quantities work, energy, center directly measured quantities 6. Error bars of mass, 7. Graphical analysis: momentum, 7. Estimate intercepts and slopes—and and their linear fitting and impulse, and uncertainties—in experimental data with linear transformation of collisions STEM_GP12EU-Ia-7 dependence using the “eyeball method” and/or functional dependence linear regression formulae to linear form Vectors 1. Vectors and vector 1. Differentiate vector and scalar quantities STEM_GP12V-Ia-8 addition 2. Perform addition of vectors STEM_GP12V-Ia-9 2. Components of vectors 3. Rewrite a vector in component form STEM_GP12V-Ia-10 3. Unit vectors 4. Calculate directions and magnitudes of vectors STEM_GP12V-Ia-11 Kinematics: Motion Along a 1. Position, time, 1. Convert a verbal description of a physical Straight Line distance, displacement, situation involving uniform acceleration in one STEM_GP12Kin-Ib-12 speed, average velocity, dimension into a mathematical description K to 12 Senior High School STEM Specialized Subject – General Physics 1 May 2016 Page 1 of 13 K to 12 BASIC EDUCATION CURRICULUM SENIOR HIGH SCHOOL – SCIENCE, TECHNOLOGY, ENGINEERING AND MATHEMATICS (STEM) SPECIALIZED SUBJECT PERFORMANCE LEARNING COMPETENCIES CONTENT CONTENT STANDARD CODE STANDARD instantaneous velocity 2. Recognize whether or not a physical situation 2. Average acceleration, involves constant velocity or constant STEM_GP12KIN-Ib-13 and instantaneous acceleration acceleration 3. Uniformly accelerated 3. Interpret displacement and velocity, linear motion respectively, as areas under velocity vs. time STEM_GP12KIN-Ib-14 4. Free-fall motion and acceleration vs. time curves 5. 1D Uniform Acceleration Problems 4. Interpret velocity and acceleration, respectively, as slopes of position vs. time and velocity vs. STEM_GP12KIN-Ib-15 time curves 5. Construct velocity vs. time and acceleration vs. time graphs, respectively, corresponding to a STEM_GP12KIN-Ib-16 given position vs. time-graph and velocity vs. time graph and vice versa 6. Solve for unknown quantities in equations involving one-dimensional uniformly accelerated STEM_GP12KIN-Ib-17 motion 7. Use the fact that the magnitude of acceleration due to gravity on the Earth’s surface is nearly STEM_GP12KIN-Ib-18 constant and approximately 9.8 m/s2 in free-fall problems 8. Solve problems involving one-dimensional motion with constant acceleration in contexts such as, but not limited to, the “tail-gating STEM_GP12KIN-Ib-19 phenomenon”, pursuit, rocket launch, and free- fall problems Kinematics: Motion in 2- Relative motion 1. Describe motion using the concept of relative STEM_GP12KIN-Ic-20 Dimensions and 3- 1. Position, distance, velocities in 1D and 2D Dimensions displacement, speed, 2. Extend the definition of position, velocity, and average velocity, acceleration to 2D and 3D using vector STEM_GP12KIN-Ic-21 instantaneous velocity, representation average acceleration, 3. Deduce the consequences of the independence and instantaneous of vertical and horizontal components of STEM_GP12KIN-Ic-22 acceleration in 2- and projectile motion 3- dimensions 4. Calculate range, time of flight, and maximum 2. Projectile motion STEM_GP12KIN-Ic-23 heights of projectiles K to 12 Senior High School STEM Specialized Subject – General Physics 1 May 2016 Page 2 of 13 K to 12 BASIC EDUCATION CURRICULUM SENIOR HIGH SCHOOL – SCIENCE, TECHNOLOGY, ENGINEERING AND MATHEMATICS (STEM) SPECIALIZED SUBJECT PERFORMANCE LEARNING COMPETENCIES CONTENT CONTENT STANDARD CODE STANDARD 3. Circular motion 5. Differentiate uniform and non-uniform circular STEM_GP12KIN-Ic-24 4. Relative motion motion 6. Infer quantities associated with circular motion such as tangential velocity, centripetal STEM_GP12KIN-Ic-25 acceleration, tangential acceleration, radius of curvature 7. Solve problems involving two dimensional motion in contexts such as, but not limited to ledge jumping, movie stunts, basketball, safe STEM_GP12KIN-Ic-26 locations during firework displays, and Ferris wheels 8. Plan and execute an experiment involving projectile motion: Identifying error sources, minimizing their influence, and estimating the STEM_GP12KIN-Id-27 influence of the identified error sources on final results Newton’s Laws of Motion 1. Newton’s Law’s of 1. Define inertial frames of reference STEM_GP12N-Id-28 and Applications Motion 2. Differentiate contact and noncontact forces STEM_GP12N-Id-29 2. Inertial Reference 3. Distinguish mass and weight STEM_GP12N-Id-30 Frames 4. Identify action-reaction pairs STEM_GP12N-Id-31 5. Draw free-body diagrams STEM_GP12N-Id-32 3. Action at a distance 6. Apply Newton’s 1st law to obtain quantitative forces and qualitative conclusions about the contact 4. Mass and Weight STEM_GP12N-Ie-33 and noncontact forces acting on a body in 5. Types of contact forces: equilibrium (1 lecture) tension, normal force, kinetic and static 7. Differentiate the properties of static friction and STEM_GP12N-Ie-34 friction, fluid resistance kinetic friction 6. Action-Reaction Pairs 8. Compare the magnitude of sought quantities 7. Free-Body Diagrams such as frictional force, normal force, threshold STEM_GP12N-Ie-35 8. Applications of angles for sliding, acceleration, etc. Newton’s Laws to 9. Apply Newton’s 2nd law and kinematics to single-body and obtain quantitative and qualitative conclusions multibody dynamics about the velocity and acceleration of one or STEM_GP12N-Ie-36 9. Fluid resistance more bodies, and the contact and noncontact 10. Experiment on forces forces acting on one or more bodies 11. Problem solving using 10. Analyze the effect of fluid resistance on moving STEM_GP12N-Ie-37 K to 12 Senior High School STEM Specialized Subject – General Physics 1 May 2016 Page 3 of 13 K to 12 BASIC EDUCATION CURRICULUM SENIOR HIGH SCHOOL – SCIENCE, TECHNOLOGY, ENGINEERING AND MATHEMATICS (STEM) SPECIALIZED SUBJECT PERFORMANCE LEARNING COMPETENCIES CONTENT CONTENT STANDARD CODE STANDARD Newton’s Laws object 11. Solve problems using Newton’s Laws of motion in contexts such as, but not limited to, ropes and pulleys, the design of mobile sculptures, STEM_GP12N-Ie-38 transport of loads on conveyor belts, force needed to move stalled vehicles, determination of safe driving speeds on banked curved roads 12. Plan and execute an experiment involving forces (e.g., force table, friction board, terminal velocity) and identifying discrepancies between STEM_GP12N-If-39 theoretical expectations and experimental results when appropriate Work, Energy, and Energy 1. Dot or Scalar Product 1. Calculate the dot or scalar product of vectors STEM_GP12WE-If-40 Conservation 2. Work done by a force 2. Determine the work done by a force (not STEM_GP12WE-If-41 3. Work-energy relation necessarily constant) acting on a system 4. Kinetic energy 3. Define work as a scalar or dot product of force STEM_GP12WE-If-42 5. Power and displacement 6. Conservative and 4. Interpret the work done by a force in one- nonconservative forces dimension as an area under a Force vs. Position STEM_GP12WE-If-43 7. Gravitational potential curve energy 5. Relate the work done by a constant force to the 8. Elastic potential energy STEM_GP12WE-Ig-44 change in kinetic energy of a system 9. Equilibria and potential 6. Apply the work-energy theorem to obtain energy diagrams quantitative and qualitative conclusions 10. Energy Conservation, STEM_GP12WE-Ig-45 regarding the work done, initial and final Work, and Power velocities, mass and kinetic energy of a system. Problems 7. Represent the work-energy theorem graphically STEM_GP12WE-Ig-46 8. Relate power to work, energy, force, and STEM_GP12WE-Ig-47 velocity 9. Relate the gravitational potential energy of a system or object to the configuration of the STEM_GP12WE-Ig-48 system 10. Relate the elastic potential energy of a system STEM_GP12WE-Ig-49 or object to the configuration of the system 11. Explain the properties and the effects of STEM_GP12WE-Ig-50 conservative forces 12. Identify conservative and nonconservative STEM_GP12WE-Ig-51 K to 12 Senior High School STEM Specialized Subject – General Physics 1 May 2016 Page 4 of 13 K to 12 BASIC EDUCATION CURRICULUM SENIOR HIGH SCHOOL – SCIENCE, TECHNOLOGY, ENGINEERING AND MATHEMATICS (STEM) SPECIALIZED SUBJECT PERFORMANCE LEARNING COMPETENCIES CONTENT CONTENT STANDARD CODE STANDARD forces 13. Express the conservation of energy verbally and STEM_GP12WE-Ig-52 mathematically 14. Use potential energy diagrams to infer force; stable, unstable, and neutral equilibria; and STEM_GP12WE-Ig-53 turning points 15. Determine whether or not energy conservation is applicable in a given example before and after STEM_GP12WE-Ig-54 description of a physical system 16. Solve problems involving work, energy, and power in contexts such as, but not limited to, bungee jumping, design of roller-coasters, number of people required to build structures such as the Great Pyramids and the rice STEM_GP12WE-Ih-i- terraces; power and energy requirements of 55 human activities such as sleeping vs. sitting vs. standing, running vs. walking. (Conversion of joules to calories should be emphasized at this point.) Center of Mass, Momentum, 1. Center of mass 1. Differentiate center of mass and geometric STEM_GP12MMIC-Ih- Impulse, and Collisions 2. Momentum center 56 3. Impulse 2. Relate the motion of center of mass of a system STEM_GP12MMIC-Ih- 4. Impulse-momentum to the momentum and net external force acting 57 relation on the system 5. Law of conservation of 3. Relate the momentum, impulse, force, and time STEM_GP12MMIC-Ih- momentum of contact in a system 58 6. Collisions 4. Explain the necessary conditions for STEM_GP12MMIC-Ih- 7. Center of Mass, conservation of linear momentum to be valid. 59 Impulse, Momentum, 5. Compare and contrast elastic and inelastic STEM_GP12MMIC-Ii- and Collision Problems collisions 60 8. Energy and momentum 6. Apply the concept of restitution coefficient in STEM_GP12MMIC-Ii- experiments collisions 61 7. Predict motion of constituent particles for STEM_GP12MMIC-Ii- different types of collisions (e.g., elastic, 62 inelastic) K to 12 Senior High School STEM Specialized Subject – General Physics 1 May 2016 Page 5 of 13 K to 12 BASIC EDUCATION CURRICULUM SENIOR HIGH SCHOOL – SCIENCE, TECHNOLOGY, ENGINEERING AND MATHEMATICS (STEM) SPECIALIZED SUBJECT PERFORMANCE LEARNING COMPETENCIES CONTENT CONTENT STANDARD CODE STANDARD 8. Solve problems involving center of mass, impulse, and momentum in contexts such as, but not limited to, rocket motion, vehicle STEM_GP12MMIC-Ii- collisions, and ping-pong. (Emphasize also the 63 concept of whiplash and the sliding, rolling, and mechanical deformations in vehicle collisions.) 9. Perform an experiment involving energy and momentum conservation and analyze the data STEM_GP12MMIC-Ii- identifying discrepancies between theoretical 64 expectations and experimental results when appropriate Integration of Data Analysis and Point Mechanics Refer to weeks 1 to 9 (Assessment of the performance standard) (1 week) Concepts Rotational equilibrium and 1. Moment of inertia Solve multi-concept, 1. Calculate the moment of inertia about a given rotational dynamics 2. Angular position, rich context axis of single-object and multiple-object STEM_GP12RED-IIa-1 angular velocity, problems using systems (1 lecture with exercises) angular acceleration concepts from 2. Exploit analogies between pure translational 3. Torque rotational motion, motion and pure rotational motion to infer 4. Torque-angular fluids, oscillations, rotational motion equations (e.g., rotational STEM_GP12RED-IIa-2 acceleration relation gravity, and kinematic equations, rotational kinetic energy, 5. Static equilibrium thermodynamics torque-angular acceleration relation) 6. Rotational kinematics 3. Calculate magnitude and direction of torque 7. Work done by a torque STEM_GP12RED-IIa-3 using the definition of torque as a cross product 8. Rotational kinetic 4. Describe rotational quantities using vectors STEM_GP12RED-IIa-4 energy 5. Determine whether a system is in static 9. Angular momentum STEM_GP12RED-IIa-5 equilibrium or not 10. Static equilibrium 6. Apply the rotational kinematic relations for experiments STEM_GP12RED-IIa-6 systems with constant angular accelerations 11. Rotational motion 7. Apply rotational kinetic energy formulae STEM_GP12RED-IIa-7 problems 8. Solve static equilibrium problems in contexts such as, but not limited to, see-saws, mobiles, cable-hinge-strut system, leaning ladders, and STEM_GP12RED-IIa-8 weighing a heavy suitcase using a small bathroom scale 9. Determine angular momentum of different STEM_GP12RED-IIa-9 systems K to 12 Senior High School STEM Specialized Subject – General Physics 1 May 2016 Page 6 of 13 K to 12 BASIC EDUCATION CURRICULUM SENIOR HIGH SCHOOL – SCIENCE, TECHNOLOGY, ENGINEERING AND MATHEMATICS (STEM) SPECIALIZED SUBJECT PERFORMANCE LEARNING COMPETENCIES CONTENT CONTENT STANDARD CODE STANDARD STEM_GP12RED-IIa- 10. Apply the torque-angular momentum relation 10 11. Recognize whether angular momentum is STEM_GP12RED-IIa- conserved or not over various time intervals in a 11 given system 12. Perform an experiment involving static equilibrium and analyze the data—identifying STEM_GP12RED-IIa- discrepancies between theoretical expectations 12 and experimental results when appropriate 13. Solve rotational kinematics and dynamics problems, in contexts such as, but not limited to, STEM_GP12RED-IIa- flywheels as energy storage devices, and 13 spinning hard drives Gravity 1. Newton’s Law of 1. Use Newton’s law of gravitation to infer Universal Gravitation gravitational force, weight, and acceleration due STEM_GP12G-IIb-16 2. Gravitational field to gravity 3. Gravitational potential 2. Determine the net gravitational force on a mass STEM_GP12Red-IIb- energy given a system of point masses 17 4. Escape velocity 3. Discuss the physical significance of gravitational STEM_GP12Red-IIb- 5. Orbits field 18 4. Apply the concept of gravitational potential STEM_GP12Red-IIb- energy in physics problems 19 5. Calculate quantities related to planetary or STEM_GP12Red-IIb- satellite motion 20 6. Kepler’s laws of 6. Apply Kepler’s 3rd Law of planetary motion STEM_GP12G-IIc-21 planetary motion 7. For circular orbits, relate Kepler’s third law of planetary motion to Newton’s law of gravitation STEM_GP12G-IIc-22 and centripetal acceleration 8. Solve gravity-related problems in contexts such as, but not limited to, inferring the mass of the Earth, inferring the mass of Jupiter from the STEM_GP12G-IIc-23 motion of its moons, and calculating escape speeds from the Earth and from the solar system Periodic Motion 1. Periodic Motion 1. Relate the amplitude, frequency, angular 2. Simple harmonic frequency, period, displacement, velocity, and STEM_GP12PM-IIc-24 motion: spring-mass acceleration of oscillating systems K to 12 Senior High School STEM Specialized Subject – General Physics 1 May 2016 Page 7 of 13 K to 12 BASIC EDUCATION CURRICULUM SENIOR HIGH SCHOOL – SCIENCE, TECHNOLOGY, ENGINEERING AND MATHEMATICS (STEM) SPECIALIZED SUBJECT PERFORMANCE LEARNING COMPETENCIES CONTENT CONTENT STANDARD CODE STANDARD system, simple 2. Recognize the necessary conditions for an object STEM_GP12PM-IIc-25 pendulum, physical to undergo simple harmonic motion pendulum 3. Analyze the motion of an oscillating system STEM_GP12PM-IIc-26 using energy and Newton’s 2nd law approaches 4. Calculate the period and the frequency of spring STEM_GP12PM-IIc-27 mass, simple pendulum, and physical pendulum 3. Damped and Driven 5. Differentiate underdamped, overdamped, and STEM_GP12PM-IId-28 oscillation critically damped motion 4. Periodic Motion 6. Describe the conditions for resonance STEM_GP12PM-IId-29 experiment 7. Perform an experiment involving periodic motion and analyze the data—identifying discrepancies STEM_GP12PM-IId-30 between theoretical expectations and experimental results when appropriate 5. Mechanical waves 8. Define mechanical wave, longitudinal wave, transverse wave, periodic wave, and sinusoidal STEM_GP12PM-IId-31 wave 9. From a given sinusoidal wave function infer the (speed, wavelength, frequency, period, STEM_GP12PM-IId-32 direction, and wave number 10. Calculate the propagation speed, power transmitted by waves on a string with given STEM_GP12PM-IId-33 tension, mass, and length (1 lecture) Mechanical Waves and 1. Sound 1. Apply the inverse-square relation between the STEM_GP12MWS-IIe- Sound 2. Wave Intensity intensity of waves and the distance from the 34 3. Interference and beats source 4. Standing waves 2. Describe qualitatively and quantitatively the STEM_GP12MWS-IIe- 5. Doppler effect superposition of waves 35 3. Apply the condition for standing waves on a STEM_GP12MWS-IIe- string 36 4. Relate the frequency (source dependent) and STEM_GP12MWS-IIe- wavelength of sound with the motion of the 37 source and the listener 5. Solve problems involving sound and mechanical waves in contexts such as, but not limited to, STEM_GP12MWS-IIe- echolocation, musical instruments, ambulance 38 sounds K to 12 Senior High School STEM Specialized Subject – General Physics 1 May 2016 Page 8 of 13 K to 12 BASIC EDUCATION CURRICULUM SENIOR HIGH SCHOOL – SCIENCE, TECHNOLOGY, ENGINEERING AND MATHEMATICS (STEM) SPECIALIZED SUBJECT PERFORMANCE LEARNING COMPETENCIES CONTENT CONTENT STANDARD CODE STANDARD 6. Perform an experiment investigating the properties of sound waves and analyze the STEM_GP12MWS-IIe- data appropriately—identifying deviations from 39 theoretical expectations when appropriate Fluid Mechanics 1. Specific gravity 1. Relate density, specific gravity, mass, and STEM_GP12FM-IIf-40 2. Pressure volume to each other 3. Pressure vs. Depth 2. Relate pressure to area and force STEM_GP12FM-IIf-41 Relation 3. Relate pressure to fluid density and depth STEM_GP12FM-IIf-42 4. Pascal’s principle 4. Apply Pascal’s principle in analyzing fluids in 5. Buoyancy and STEM_GP12FM-IIf-43 various systems Archimedes’ Principle 5. Apply the concept of buoyancy and Archimedes’ 6. Continuity equation STEM_GP12FM-IIf-44 principle 7. Bernoulli’s principle 6. Explain the limitations of and the assumptions underlying Bernoulli’s principle and the STEM_GP12FM-IIf-45 continuity equation 7. Apply Bernoulli’s principle and continuity equation, whenever appropriate, to infer relations involving pressure, elevation, speed, STEM_GP12FM-IIf-46 and flux 8. Solve problems involving fluids in contexts such as, but not limited to, floating and sinking, swimming, Magdeburg hemispheres, boat STEM_GP12FM-IIf-47 design, hydraulic devices, and balloon flight 9. Perform an experiment involving either Continuity and Bernoulli’s equation or buoyancy, and analyze the data appropriately—identifying STEM_GP12FM-IIf-48 discrepancies between theoretical expectations and experimental results when appropriate Temperature and Heat 1. Zeroth law of 1. Explain the connection between the Zeroth Law thermodynamics and of Thermodynamics, temperature, thermal STEM_GP12TH-IIg-49 Temperature equilibrium, and temperature scales measurement 2. Convert temperatures and temperature 2. Thermal expansion differences in the following scales: Fahrenheit, STEM_GP12TH-IIg-50 3. Heat and heat capacity Celsius, Kelvin 4. Calorimetry 3. Define coefficient of thermal expansion and STEM_GP12TH-IIg-51 coefficient of volume expansion K to 12 Senior High School STEM Specialized Subject – General Physics 1 May 2016 Page 9 of 13 K to 12 BASIC EDUCATION CURRICULUM SENIOR HIGH SCHOOL – SCIENCE, TECHNOLOGY, ENGINEERING AND MATHEMATICS (STEM) SPECIALIZED SUBJECT PERFORMANCE LEARNING COMPETENCIES CONTENT CONTENT STANDARD CODE STANDARD 4. Calculate volume or length changes of solids due STEM_GP12TH-IIg-52 to changes in temperature 5. Solve problems involving temperature, thermal expansion, heat capacity,heat transfer, and thermal equilibrium in contexts such as, but not limited to, the design of bridges and train rails STEM_GP12TH-IIg-53 using steel, relative severity of steam burns and water burns, thermal insulation, sizes of stars, and surface temperatures of planets 6. Perform an experiment investigating factors affecting thermal energy transfer and analyze the data—identifying deviations from theoretical STEM_GP12TH-IIg-54 expectations when appropriate (such as thermal expansion and modes of heat transfer) 7. Carry out measurements using thermometers STEM_GP12TH-IIg-55 8. Solve problems using the Stefan-Boltzmann law 5. Mechanisms of heat and the heat current formula for radiation and transfer STEM_GP12TH-IIh-56 conduction (1 lecture) Ideal Gases and the Laws of 1. Ideal gas law STEM_GP12GLT-IIh- Thermodynamics 2. Internal energy of an 1. Enumerate the properties of an ideal gas 57 ideal gas 3. Heat capacity of an 2. Solve problems involving ideal gas equations in ideal gas STEM_GP12GLT-IIh- contexts such as, but not limited to, the design 4. Thermodynamic 58 of metal containers for compressed gases systems 3. Distinguish among system, wall, and STEM_GP12GLT-IIh- 5. Work done during surroundings 59 volume changes 4. Interpret PV diagrams of a thermodynamic STEM_GP12GLT-IIh- 6. 1st law of process 60 thermodynamics 5. Compute the work done by a gas using dW=PdV STEM_GP12GLT-IIh- Thermodynamic (1 lecture) 61 processes: adiabatic, 6. State the relationship between changes internal isothermal, isobaric, STEM_GP12GLT-IIh- energy, work done, and thermal energy supplied isochoric 62 through the First Law of Thermodynamics K to 12 Senior High School STEM Specialized Subject – General Physics 1 May 2016 Page 10 of 13 K to 12 BASIC EDUCATION CURRICULUM SENIOR HIGH SCHOOL – SCIENCE, TECHNOLOGY, ENGINEERING AND MATHEMATICS (STEM) SPECIALIZED SUBJECT PERFORMANCE LEARNING COMPETENCIES CONTENT CONTENT STANDARD CODE STANDARD 7. Differentiate the following thermodynamic processes and show them on a PV diagram: STEM_GP12GLT-IIh- isochoric, isobaric, isothermal, adiabatic, and 63 cyclic 8. Use the First Law of Thermodynamics in combination with the known properties of STEM_GP12GLT-IIh- adiabatic, isothermal, isobaric, and isochoric 64 processes 9. Solve problems involving the application of the First Law of Thermodynamics in contexts such STEM_GP12GLT-IIh- as, but not limited to, the boiling of water, 65 cooling a room with an air conditioner, diesel engines, and gases in containers with pistons 7. Heat engines 10. Calculate the efficiency of a heat engine STEM_GP12GLT-IIi-67 8. Engine cycles 11. Describe reversible and irreversible processes STEM_GP12GLT-IIi-68 9. Entropy 12. Explain how entropy is a measure of disorder STEM_GP12GLT-IIi-69 13. State the 2nd Law of Thermodynamics STEM_GP12GLT-IIi-70 10. 2nd law of 14. Calculate entropy changes for various processes Thermodynamics e.g., isothermal process, free expansion, STEM_GP12GLT-IIi-71 11. Reversible and constant pressure process, etc. irreversible processes 15. Describe the Carnot cycle (enumerate the 12. Carnot cycle processes involved in the cycle and illustrate the STEM_GP12GLT-IIi-72 13. Entropy cycle on a PV diagram) 16. State Carnot’s theorem and use it to calculate the maximum possible efficiency of a heat STEM_GP12GLT-IIi-73 engine 17. Solve problems involving the application of the Second Law of Thermodynamics in context such as, but not limited to, heat engines, heat pumps, STEM_GP12GLT-IIi-74 internal combustion engines, refrigerators, and fuel economy Integration of Rotational motion, Fluids, Oscillations, Refer to weeks 1 to 9 (Assessment of the performance standard) (1 week) Gravity and Thermodynamic Concepts K to 12 Senior High School STEM Specialized Subject – General Physics 1 May 2016 Page 11 of 13 K to 12 BASIC EDUCATION CURRICULUM SENIOR HIGH SCHOOL – SCIENCE, TECHNOLOGY, ENGINEERING AND MATHEMATICS (STEM) SPECIALIZED SUBJECT Code Book Legend Sample: STEM_GP12GLT-IIi-73 LEGEND SAMPLE DOMAIN/ COMPONENT CODE Learning Area and Science, Technology, Units and Measurement EU Strand/ Subject or Engineering and Mathematics Specialization General Physics Vectors V First Entry Kinematics KIN Grade Level Grade 12 STEM_GP12GLT Newton’s Laws N Uppercase Domain/Content/ Ideal Gases and Laws of Work and Energy WE Letter/s Component/ Topic Thermodynamics Center of Mass, Momentum, Impulse and Collisions MMIC - Roman Numeral Rotational Equilibrium and Rotational Dynamics RED *Zero if no specific Quarter Second Quarter II quarter Gravity G Lowercase Letter/s Periodic Motion PM *Put a hyphen (-) in between letters to Week Week 9 i Mechanical Waves and Sounds MWS indicate more than a specific week Fluid Mechanics FM - State Carnot’s theorem and Temperature and Heat TH use it to calculate the Arabic Number Competency maximum possible efficiency 73 Ideal Gases and Laws of Thermodynamics GLT of a heat engine K to 12 Senior High School STEM Specialized Subject – General Physics 1 May 2016 Page 12 of 13 K to 12 BASIC EDUCATION CURRICULUM SENIOR HIGH SCHOOL – SCIENCE, TECHNOLOGY, ENGINEERING AND MATHEMATICS (STEM) SPECIALIZED SUBJECT References: Cummings, Karen; Laws, Priscilla; Redish, Edward; and Cooney, Patrick. Understanding Physics. New Jersey: John Wiley and Sons, 2004. (Reprinted in the Philippines, MG Reprographics for Global Learning Media) Hewitt, Paul G. Conceptual Physics, 11th Edition. San Francisco: Pearson, 2010. Resnick, Robert; Halliday, David; and Krane, Kenneth. Physics Vol.2, 5th Edition. New Jersey: John Wiley and Sons, 2002. (Reprinted in the Philippines by C & E Publishing) Resnick, Robert; Halliday; David; and Krane, Kenneth. Physics Vol.1, 5th Edition. New Jersey: John Wiley and Sons, 2002. (Reprinted in the Philippines by C & E Publishing) Serway, Raymond, and Belchner, Robert. Physics for Scientists and Engineers with Modern Physics, 5th Edition. Orlando: Harcourt College Publishing, 2000. Tipler, Paul. Physics for Scientists and Engineers, 4th Edition. New York: W.H. Freeman and Company, 1999. Tsokos, K.A. Physics for the IB Diploma, 5th Edition. Cambridge: Cambridge University Press, 2010. Young, Hugh D., and Freedman, Roger A. Sears and Zemansky's University with Modern Physics, 11th Edition. San Francisco: Pearson, 2004. K to 12 Senior High School STEM Specialized Subject – General Physics 1 May 2016 Page 13 of 13

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