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Roanoke County Public Schools Physics Curriculum Guide 2012 Science Curriculum Guide Roanoke County Public Schools does not discriminate with regard to race, color, age, national origin, gender, or handicapping condition in an educational and/or employment policy or practice. Questions and/or complaints should be addressed to the Deputy Superintendent/Title IX Coordinator at (540) 562-3900 ext. 10121 or the Director of Pupil Personnel Services/504 Coordinator at (540) 562-3900 ext. 10181. Physics STANDARDS OF LEARNING Physics Introduction The Science Standards of Learning for Virginia Public Schools identify academic content for essential components of the science curriculum at different grade levels. Standards are identified for kindergarten through grade five, for middle school, and for a core set of high school courses — Earth Science, Biology, Chemistry, and Physics. Throughout a student’s science schooling from kindergarten through grade six, content strands, or topics are included. The Standards of Learning in each strand progress in complexity as they are studied at various grade levels in grades K-6, and are represented indirectly throughout the high school courses. These strands are Scientific Investigation, Reasoning, and Logic; Force, Motion, and Energy; Matter; Life Processes; Living Systems; Interrelationships in Earth/Space Systems; Earth Patterns, Cycles, and Change; and Earth Resources. Five key components of the science standards that are critical to implementation and necessary for student success in achieving science literacy are 1) Goals; 2) K-12 Safety; 3) Instructional Technology; 4) Investigate and Understand; and 5) Application. It is imperative to science instruction that the local curriculum consider and address how these components are incorporated in the design of the kindergarten through high school science program. 0 Physics Curriculum Guide 2012 Goals The purposes of scientific investigation and discovery are to satisfy humankind’s quest for knowledge and understanding and to preserve and enhance the quality of the human experience. Therefore, as a result of science instruction, students will be able to achieve the following objectives: 1. Develop and use an experimental design in scientific inquiry. 2. Use the language of science to communicate understanding. 3. Investigate phenomena using technology. 4. Apply scientific concepts, skills, and processes to everyday experiences. 5. Experience the richness and excitement of scientific discovery of the natural world through the collaborative quest for knowledge and understanding. 6. Make informed decisions regarding contemporary issues, taking into account the following: public policy and legislation; economic costs/benefits; validation from scientific data and the use of scientific reasoning and logic; respect for living things; personal responsibility; and history of scientific discovery. 7. Develop scientific dispositions and habits of mind including: curiosity; demand for verification; respect for logic and rational thinking; consideration of premises and consequences; respect for historical contributions; attention to accuracy and precision; and 1 Physics Curriculum Guide 2012 patience and persistence. 8. Develop an understanding of the interrelationship of science with technology, engineering and mathematics. 9. Explore science-related careers and interests. K-12 Safety In implementing the Science Standards of Learning, teachers must be certain that students know how to follow safety guidelines, demonstrate appropriate laboratory safety techniques, and use equipment safely while working individually and in groups. Safety must be given the highest priority in implementing the K-12 instructional program for science. Correct and safe techniques, as well as wise selection of experiments, resources, materials, and field experiences appropriate to age levels, must be carefully considered with regard to the safety precautions for every instructional activity. Safe science classrooms require thorough planning, careful management, and constant monitoring of student activities. Class enrollment should not exceed the designed capacity of the room. Teachers must be knowledgeable of the properties, use, and proper disposal of all chemicals that may be judged as hazardous prior to their use in an instructional activity. Such information is referenced through Materials Safety Data Sheets (MSDS). The identified precautions involving the use of goggles, gloves, aprons, and fume hoods must be followed as prescribed. While no comprehensive list exists to cover all situations, the following should be reviewed to avoid potential safety problems. Appropriate safety procedures should be used in the following situations: observing wildlife; handling living and preserved organisms; and coming in contact with natural hazards, such as poison ivy, ticks, mushrooms, insects, spiders, and snakes; engaging in field activities in, near, or over bodies of water; handling glass tubing and other glassware, sharp objects, and labware; handling natural gas burners, Bunsen burners, and other sources of flame/heat; working in or with direct sunlight (sunburn and eye damage); using extreme temperatures and cryogenic materials; handling hazardous chemicals including toxins, carcinogens, and flammable and explosive materials; producing acid/base neutralization reactions/dilutions; 2 Physics Curriculum Guide 2012 producing toxic gases; generating/working with high pressures; working with biological cultures including their appropriate disposal and recombinant DNA; handling power equipment/motors; working with high voltage/exposed wiring; and working with laser beam, UV, and other radiation. The use of human body fluids or tissues is generally prohibited for classroom lab activities. Further guidance from the following sources may be referenced: OSHA (Occupational Safety and Health Administration); ISEF (International Science and Engineering Fair) rules; and public health departments’ and school divisions’ protocols. Instructional Technology The use of current and emerging technologies is essential to the K-12 science instructional program. Specifically, technology must accomplish the following: Assist in improving every student’s functional literacy. This includes improved communication through reading/information retrieval (the use of telecommunications), writing (word processing), organization and analysis of data (databases, spreadsheets, and graphics programs), presentation of one’s ideas (presentation software), and resource management (project management software). Be readily available and regularly used as an integral and ongoing part of the delivery and assessment of instruction. Include instrumentation oriented toward the instruction and learning of science concepts, skills, and processes. Technology, however, should not be limited to traditional instruments of science, such as microscopes, labware, and data-collecting apparatus, but should also include computers, robotics, video-microscopes, graphing calculators, probeware, geospatial technologies, online communication, software and appropriate hardware, as well as other emerging technologies. Be reflected in the “instructional strategies” generally developed at the school division level. 3 Physics Curriculum Guide 2012 In most cases, the application of technology in science should remain “transparent” unless it is the actual focus of the instruction. One must expect students to “do as a scientist does” and not simply hear about science if they are truly expected to explore, explain, and apply scientific concepts, skills, and processes. As computer/technology skills are essential components of every student’s education, it is important that teaching these skills is a shared responsibility of teachers of all disciplines and grade levels. Investigate and Understand Many of the standards in the Science Standards of Learning begin with the phrase “Students will investigate and understand.” This phrase was chosen to communicate the range of rigorous science skills and knowledge levels embedded in each standard. Limiting a standard to one observable behavior, such as “describe” or “explain,” would have narrowed the interpretation of what was intended to be a rich, highly rigorous, and inclusive content standard. “Investigate” refers to scientific methodology and implies systematic use of the following inquiry skills: observing; classifying and sequencing; communicating; measuring; predicting; hypothesizing; inferring; defining, controlling, and manipulating variables in experimentation; designing, constructing, and interpreting models; and interpreting, analyzing, and evaluating data. 4 Physics Curriculum Guide 2012 “Understand” refers to various levels of knowledge application. In the Science Standards of Learning, these knowledge levels include the ability to: recall or recognize important information, key definitions, terminology, and facts; explain the information in one’s own words, comprehend how the information is related to other key facts, and suggest additional interpretations of its meaning or importance; apply the facts and principles to new problems or situations, recognizing what information is required for a particular situation, using the information to explain new phenomena, and determining when there are exceptions; analyze the underlying details of important facts and principles, recognizing the key relations and patterns that are not always readily visible; arrange and combine important facts, principles, and other information to produce a new idea, plan, procedure, or product; and make judgments about information in terms of its accuracy, precision, consistency, or effectiveness. Therefore, the use of “investigate and understand” allows each content standard to become the basis for a broad range of teaching objectives, which the school division will develop and refine to meet the intent of the Science Standards of Learning. Application Science provides the key to understanding the natural world. The application of science to relevant topics provides a context for students to build their knowledge and make connections across content and subject areas. This includes applications of science among technology, engineering, and mathematics, as well as within other science disciplines. Various strategies can be used to facilitate these applications and to promote a better understanding of the interrelated nature of these four areas. 5 Physics Curriculum Guide 2012 Physics The Physics standards emphasize a more complex understanding of experimentation, the analysis of data, and the use of reasoning and logic to evaluate evidence. The use of mathematics, including algebra and trigonometry, is important, but conceptual understanding of physical systems remains a primary concern. Students build on basic physical science principles by exploring in-depth the nature and characteristics of energy and its dynamic interaction with matter. Key areas covered by the standards include force and motion, energy transformations, wave phenomena and the electromagnetic spectrum, electricity, fields, and non-Newtonian physics. The standards stress the practical application of physics in other areas of science, technology, engineering, and mathematics. The effects of physics on our world are investigated through the study of critical, contemporary global topics. The Physics standards continue to focus on student growth in understanding the nature of science. This scientific view defines the idea that explanations of nature are developed and tested using observation, experimentation, models, evidence, and systematic processes. The nature of science includes the concepts that scientific explanations are based on logical thinking; are subject to rules of evidence; are consistent with observational, inferential, and experimental evidence; are open to rational critique; and are subject to refinement and change with the addition of new scientific evidence. The nature of science includes the concept that science can provide explanations about nature and can predict potential consequences of actions, but cannot be used to answer all questions. PH.1 The student will plan and conduct investigations using experimental design and product design processes. Key concepts include a) the components of a system are defined; b) instruments are selected and used to extend observations and measurements; c) information is recorded and presented in an organized format; d) the limitations of the experimental apparatus and design are recognized; e) the limitations of measured quantities are recognized through the appropriate use of significant figures or error ranges; f) models and simulations are used to visualize and explain phenomena, to make predictions from hypotheses, and to interpret data; and g) appropriate technology, including computers, graphing calculators, and probeware, is used for gathering and analyzing data and communicating results. PH.2 The student will investigate and understand how to analyze and interpret data. Key concepts include a) a description of a physical problem is translated into a mathematical statement in order to find a solution; b) relationships between physical quantities are determined using the shape of a curve passing through experimentally obtained data; c) the slope of a linear relationship is calculated and includes appropriate units; d) interpolated, extrapolated, and analyzed trends are used to make predictions; and e) situations with vector quantities are analyzed utilizing trigonometric or graphical methods. ii Physics Curriculum Guide 2012 PH.3 The student will investigate and demonstrate an understanding of the nature of science, scientific reasoning, and logic. Key concepts include a) analysis of scientific sources to develop and refine research hypotheses; b) analysis of how science explains and predicts relationships; c) evaluation of evidence for scientific theories; d) examination of how new discoveries result in modification of existing theories or establishment of new paradigms; and e) construction and defense of a scientific viewpoint. PH.4 The student will investigate and understand how applications of physics affect the world. Key concepts include a) examples from the real world; and b) exploration of the roles and contributions of science and technology. PH.5 The student will investigate and understand the interrelationships among mass, distance, force, and time through mathematical and experimental processes. Key concepts include a) linear motion; b) uniform circular motion; c) projectile motion; d) Newton’s laws of motion; e) gravitation; f) planetary motion; and g) work, power, and energy. PH.6 The student will investigate and understand that quantities including mass, energy, momentum, and charge are conserved. Key concepts include a) kinetic and potential energy; b) elastic and inelastic collisions; and c) mass/energy equivalence. PH.7 The student will investigate and understand that energy can be transferred and transformed to provide usable work. Key concepts include a) transfer and storage of energy among systems including mechanical, thermal, gravitational, electromagnetic, chemical, and nuclear systems; and b) efficiency of systems. PH.8 The student will investigate and understand wave phenomena. Key concepts include a) wave characteristics; b) fundamental wave processes; and c) light and sound in terms of wave models. iii Physics Curriculum Guide 2012 PH.9 The student will investigate and understand that different frequencies and wavelengths in the electromagnetic spectrum are phenomena ranging from radio waves through visible light to gamma radiation. Key concepts include a) the properties, behaviors, and relative size of radio waves, microwaves, infrared, visible light, ultraviolet, X-rays, and gamma rays; b) wave/particle dual nature of light; and c) current applications based on the respective wavelengths. PH.10 The student will investigate and understand how to use the field concept to describe the effects of gravitational, electric, and magnetic forces. Key concepts include a) inverse square laws (Newton’s law of universal gravitation and Coulomb’s law); and b) technological applications. PH.11 The student will investigate and understand how to diagram, construct, and analyze basic electrical circuits and explain the function of various circuit components. Key concepts include a) Ohm’s law; b) series, parallel, and combined circuits; c) electrical power; and d) alternating and direct currents. PH.12 The student will investigate and understand that extremely large and extremely small quantities are not necessarily described by the same laws as those studied in Newtonian physics. Key concepts may include a) wave/particle duality; b) wave properties of matter; c) matter/energy equivalence; d) quantum mechanics and uncertainty; e) relativity; f) nuclear physics; g) solid state physics; h) nanotechnology; i) superconductivity; and j) radioactivity. iv Physics Curriculum Guide 2012 PHYSICS CURRICULUM GUIDE FOR ROANOKE COUNTY SCHOOLS Pacing Chart SOL Concept Pacing Text Reference Unit I. Introduction, Measurement, and Methods PH. 1, PH. 2 Measuring, recording, manipulating and calculating data PH. 3, PH.4 Science as process Ch. 1 A Physics Toolkit 2 Weeks Unit IIA. Mechanics: Describing Motion displacement, distance PH. 5a speed, velocity 3 weeks Ch. 2, 3 Distance, Velocity, Acceleration, and Time time acceleration Unit IIB. Mechanics: Non-Linear Motion PH. 5b, PH. 5c projectile motion circular motion v 3 weeks Ch. 5,6 Motion in Two Dimensions Physics Curriculum Guide 2012 Unit IIC. Mechanics: Force and Motion PH. 5d Newton’s Laws of Motion Chs. 4,5,6 Force and Motion 3 weeks Unit IID. Mechanics: Centripetal Motion, Gravitation, and Planetary Motion PH. 5e, PH. 5f Newton’s Law of Gravitation Ch. 7 Gravitation 2 weeks planetary motion PH. 6 Unit IIE. Mechanics: Momentum 1 week Ch. 9 Momentum and its Conservation 3 weeks Chs. 10,11 Work, Energy, Power, and Conservation Unit IIF. Mechanics: Work, Energy, Power work PH. 5g, PH. 6, PH. 7 work-kinetic energy theorem conservation of energy Unit IIIA. Electricity and Magnetism: Electrostatics PH. 10a Coulomb’s Law electric fields vi 2 weeks Chs. 20,21 Electrostatics and Electric Fields Physics Curriculum Guide 2012 Unit IIIB. Electricity and Magnetism: Circuits Ohm’s Law PH. 11a, PH. 11b series and parallel circuits 4 weeks Chs. 22, 23 Current Electricity and Circuits 2 weeks Chs. 24,25 Magnetism and Electromagnetic Induction 3 weeks Chs. 14,15,16 Wave Fundamentals and Sound circuit elements cost of electricity Unit IIIC. Electricity and Magnetism: Magnetism and Alternating Current PH. 11c, PH. 11d household electricity electricity production Unit IVA. Waves and Light: Wave Behavior and Sound longitudinal waves PH. 8, PH. 9b, PH. 9c transverse waves mechanical waves Eeectromagnetic waves vii Physics Curriculum Guide 2012 uses for waves Unit IVB. Waves and Light: Reflection, Refraction, and Interference PH. 9a mirrors Chs. 16,17,18,19 Optics 3 weeks thin lenses Snell’s Law Unit V. Modern Physics: The Atom, Nuclear Energy, and Modern Physics the nucleus PH. 12 3 weeks quantum mechanics relativity viii Chs. 27,28,29,30 Modern Physics Physics Curriculum Guide 2012 Standard PH.1 PH.1 The student will plan and conduct investigations using experimental design and product design processes. Key concepts include a) the components of a system are defined; b) instruments are selected and used to extend observations and measurements; c) information is recorded and presented in an organized format; d) the limitations of the experimental apparatus and design are recognized; e) the limitations of measured quantities are recognized through the appropriate use of significant figures or error ranges; f) models and simulations are used to visualize and explain phenomena, to make predictions from hypotheses, and to interpret data; and g) appropriate technology, including computers, graphing calculators, and probeware, is used for gathering and analyzing data and communicating results. Understanding Standard PH.1 Essential Understanding, Knowledge, Processes, and Skills The concepts developed in this standard include the following: In order to meet this standard, it is expected that students will Appropriate instruments are used to measure position, time, mass, force, volume, temperature, motion, fields, electric current, and potential. measure and record position, time, mass, force, volume, temperature, motion, fields, and electric current and potential, using appropriate technology. No measurement is complete without a statement about its uncertainty. determine accuracy of measurement by comparing the experimental averages and the theoretical value. Experimental records, including experimental diagrams, data, and procedures, are kept concurrently with experimentation. Tables, spreadsheets, and graphs are used to interpret, organize, and clarify experimental observations, possible explanations, and models for phenomena being observed. ix determine precision of measurement using range or standard deviation. follow safe practices in all laboratory procedures. use simulations to model physical phenomena. Activities and Resources Generally, each unit in Physics will have different equipment and measuring techniques. A good introduction is “Physics Lab 2-1” from the Textbook lab manual (Physics: Principles and Problems; Glencoe; from now on referred to as “Textbook”) Measuring and recording using significant digits is covered in Textbook, p. 7. A useful website for measuring with significant digits is http://www.batesville.k12.in.us/physic Physics Curriculum Guide Accuracy is the difference between the accepted value and the measured value. Precision is the spread of repeated measurements. Results of calculations or analyses of data are reported in appropriate numbers of significant digits. Data are organized into tables and graphed when involving dependent and independent variables. 2012 draw conclusions and provide reasoning using supporting data. s/apphynet/Measurement/Significant_ Digits.html A useful website for practice with significant digits is http://science.widener.edu/svb/tutorial/ sigfigures.html A good description of relative error is http://www.regentsprep.org/Regents/m ath/ALGEBRA/AM3/LError.htm Precision is covered in Textbook, Ch. 1, Section 1.2. Safe practices are covered in the Roanoke County Safety Contract; safety practices specific to this course are listed in the Lab Manual, pp. x-xi many useful examples of physics models in the form of applets http://www.walter-fendt.de/ph14e/ Vernier’s Logger-Pro and Lab-Pro has a large series of laboratory activities to help develop conclusions from data x Physics Curriculum Guide 2012 Standard PH.2 PH.2 The student will investigate and understand how to analyze and interpret data. Key concepts include a) a description of a physical problem is translated into a mathematical statement in order to find a solution; b) relationships between physical quantities are determined using the shape of a curve passing through experimentally obtained data; c) the slope of a linear relationship is calculated and includes appropriate units; d) interpolated, extrapolated, and analyzed trends are used to make predictions; and e) situations with vector quantities are analyzed utilizing trigonometric or graphical methods. Understanding Standard PH.2 The concepts developed in this standard include the following: In order to meet this standard, it is expected that students will Mathematics is a tool used to model and describe phenomena. recognize linear and nonlinear relationships from graphed data. Graphing and dimensional analysis are used to reveal relationships and other important features of data. where appropriate, draw a straight line through a set of experimental data points and determine the slope and/or area under the curve. Predictions are made from trends based on the data. The shape of the curve fit to experimentally obtained data is used to determine the relationship of the plotted quantities. All experimental data do not follow a linear relationship. The area under the curve of experimentally obtained data is used to determine related physical quantities. Not all quantities add arithmetically. xi Essential Understanding, Knowledge, Processes, and Skills use dimensional analysis to verify appropriate units. combine vectors into resultants utilizing trigonometric or graphical methods. resolve vectors into components utilizing trigonometric or graphical methods. Activities and Resources There are many websites that can be used to demonstrate linear and non-linear relationships. One good example is http://www.walterfendt.de/ph14e/acceleration.htm Vernier’s Lab-Pro/Logger-Pro experimental processes are good resources for recognizing and matching graphed data (Exp. 1 Graph Matching) Photogates, meter sticks, and self-propelled cars can be used to plot displacement-time data. Textbook Lab Manual “Physics Lab 3-1” is a good example of an accelerated motion activity. One example of a useful website for dimensional analysis is Physics Curriculum Guide Some must be combined using trigonometry. These quantities are known as vectors. Physical phenomena or events can often be described in mathematical terms (as an equation or inequality). 2012 http://www.alysion.org/dimensional/fun.htm Textbook, Chapter 1: “Dimensional Analysis” (p. 6) Textbook Lab Manual “Physics Lab 5-1” gives an activity for verifying the summation of vector forces. A good website for visually recognizing the effect of vector addition is http://www.loncapa.org/~mmp/kap3/cd052a.htm Vector addition using trigonometric/algebraic techniques is covered in Textbook. Ch.5, Section 5.1 (p. 119) A useful website for resolving vectors into their components is http://phet.colorado.edu/sims/vectoraddition/vector-addition_en.html http://www.pa.uky.edu/~phy211/VecArith/ will allow you to visualize vector addition using a graphical approach xii Physics Curriculum Guide 2012 Standard PH.3 PH.3 The student will investigate and demonstrate an understanding of the nature of science, scientific reasoning, and logic. Key concepts include a) analysis of scientific sources to develop and refine research hypotheses; b) analysis of how science explains and predicts relationships; c) evaluation of evidence for scientific theories; d) examination of how new discoveries result in modification of existing theories or establishment of new paradigms; and e) construction and defense of a scientific viewpoint. Understanding Standard PH.3 The concepts developed in this standard include the following: The nature of science refers to the foundational concepts that govern the way scientists formulate explanations about the natural world. The nature of science includes the following concepts a) the natural world is understandable; b) science is based on evidence both observational and experimental; c) science is a blend of logic and innovation; d) scientific ideas are durable yet subject to change as new data are collected; e) science is a complex social endeavor; and f) scientists try to remain objective xiii Essential Understanding, Knowledge, Processes, and Skills In order to meet this standard, it is expected that students will identify and explain the interaction between human nature and the scientific process. identify examples of a paradigm shift (e.g., quantum mechanics). Activities and Resources The history of science is an excellent introduction to science as a process. Useful websites would include http://www.fi.edu/learn/case-files/index.php This website offers information on many scientists, their techniques, and their effect on science Textbook Lab Manual “Physics Lab 2-1” is a good activity for predicting data based on measuring events. A useful, though extremely in depth, introduction to paradigm shifts in science is found in http://www.astrosoftware.com/ParadigmShift .htm Physics Curriculum Guide and engage in peer review to help avoid bias. Experimentation may support a hypothesis, falsify it, or lead to new discoveries. The hypothesis may be modified based upon data and analysis. A careful study of prior reported research is a basis for the formation of a research hypothesis. A theory is a comprehensive and effective explanation, which is well supported by experimentation and observation, of a set of phenomena. Science is a human endeavor relying on human qualities, such as reasoning, insight, energy, skill, and creativity as well as intellectual honesty, tolerance of ambiguity, skepticism, and openness to new ideas. xiv 2012 Physics Curriculum Guide 2012 Standard PH.4 PH.4 The student will investigate and understand how applications of physics affect the world. Key concepts include a) examples from the real world; and b) exploration of the roles and contributions of science and technology. Understanding Standard PH.4 Essential Understanding, Knowledge, Processes, and Skills The concepts developed in this standard include the following: In order to meet this standard, it is expected that students will Discoveries in physics, both theoretical and experimental, have resulted in advancements in communication, medicine, engineering, transportation, commerce, exploration, and technology. Journals, books, the Internet, and other sources are used in order to identify key contributors and their contributions to physics as well as their impact on the real world. xv be aware of real-world applications of physics, and the importance of physics in the advancement of various fields, such as medicine, engineering, technology, etc. Activities and Resources Many appropriate journals such as Popular Science, Scientific American, and Discover are available to help keep students up to date on scientific discoveries and applications. Online sites such as http://www.ebizmba.com/articles/scie nce-websites are useful tools to get started. Physics Curriculum Guide 2012 Standard PH.5 PH.5 The student will investigate and understand the interrelationships among mass, distance, force, and time through mathematical and experimental processes. Key concepts include a) linear motion; b) uniform circular motion; c) projectile motion; d) Newton’s laws of motion; e) gravitation; f) planetary motion; and g) work, power, and energy. Understanding Standard PH.5 The concepts developed in this standard include the following: Newton’s three laws of motion are the basis for understanding the mechanical universe. Linear motion graphs include - displacement (d) vs. time (t) - velocity (v) vs. time (t) - acceleration (a) vs. time (t) Position, displacement, velocity, and acceleration are vector quantities. Motion is described in terms of position, displacement, time, velocity, and acceleration. Velocity is the change in displacement divided by the change in time. A xvi Essential Understanding, Knowledge, Processes, and Skills Activities and Resources In order to meet this standard, it is expected that students will qualitatively explain motion in terms of Newton’s Laws. solve problems involving force (F), mass (m), and acceleration (a). construct and analyze displacement (d) vs. time (t), velocity (v) vs. time (t), and acceleration (a) vs. time (t) graphs. solve problems involving displacement, velocity, acceleration, and time in one and two dimensions (only constant acceleration). resolve vector diagrams involving displacement and velocity into their components along perpendicular axes. See Textbook Ch. 4. for Newton’s Laws of Motion, including free body diagrams. There are many websites that give practice word problems in mechanics. An example would be http://www.physicsclassroom.com/calcp ad/ Vernier Exp.3 “Modern Galileo” and Exp. 5 “Picket Fence Freefall” are good examples of plotting displacement, velocity, and acceleration graphs Two-dimensional motion (projectile Physics Curriculum Guide straight-line, position-time graph indicates constant velocity. The slope of a displacement-time graph is the velocity. Forces are interactions that can cause objects to accelerate. When one object exerts a force on a second object, the second exerts a force on the first that is equal in magnitude but opposite in direction. An object with no net force acting on it is stationary or moves with constant velocity. Acceleration is the change in velocity divided by the change in time. A straight-line, velocity-time graph indicates constant acceleration. A horizontal-line, velocity-time graph indicates zero acceleration. The slope of a velocity-time graph is the acceleration. The acceleration of a body is directly proportional to the net force on it and inversely proportional to its mass. In a uniform vertical gravitational field with negligible air resistance, horizontal and vertical components of the motion of a projectile are independent of one another with constant horizontal velocity and constant vertical acceleration. An object moving along a circular path with a constant speed experiences an acceleration directed toward the center xvii 2012 draw vector diagrams of a projectile’s motion. Find range, trajectory, height of the projectile, and time of flight (uniform gravitational field, no air resistance). distinguish between centripetal and centrifugal force. solve problems related to free-falling objects, including 2-D motion. solve problems using Newton’s Law of Universal Gravitation. solve problems involving multiple forces, using free-body diagrams. solve problems involving mechanical work, power, and energy. describe the forces involved in circular motion. motion) is covered in Textbook, Ch. 6, Sect. 6.1. See Standard PH. 2 for vector diagrams. Centripetal force and centrifugal force are covered in Textbook, Ch. 6, Sect. 6.2. Vernier Lab 5 “Picket Fence Free Fall” is a good activity for measuring free fall. See Textbook Ch. 7 for universal gravitation. See Textbook Ch. 10 for work, energy, power, and simple machines. Textbook Lab Manual “Physics Lab 61” is a good example of a centripetal force activity. Many websites are available for Physics Lab Activities. One such introductory (oriented toward physical science) example is http://galileo.phys.virginia.edu/Educatio n/outreach/8thgradesol/home.htm Another good example is http://www.physicsclassroom.com/lab/t eacherg.cfm Physics Curriculum Guide of the circle. The force that causes an object to move in a circular path is directed centripetally, toward the center of the circle. The object’s inertia is sometimes falsely characterized as a centrifugal or outward-directed force. Weight is the gravitational force acting on a body. Newton’s Law of Universal Gravitation can be used to determine the force between objects separated by a known distance, and describes the force that determines the motion of celestial objects. The total force on a body can be represented as a vector sum of constituent forces. For a constant force acting on an object, the impulse by that force is the product of the force and the time the object experiences the force. The impulse also equals the change in momentum of the object. Work is the mechanical transfer of energy to or from a system and is the product of a force at the point of application and the parallel component of the object’s displacement. The net work on a system equals its change in velocity. Forces within a system transform energy from one form to another with no change in the system’s total energy. xviii 2012 Physics Curriculum Guide For a constant force acting on an object, the work done by that force is the product of the force and the distance the object moves in the direction of the force. The net work performed on an object equals its change in kinetic energy. Power is the rate of doing work. xix 2012 Physics Curriculum Guide 2012 Standard PH.6 PH.6 The student will investigate and understand that quantities including mass, energy, momentum, and charge are conserved. Key concepts include a) kinetic and potential energy; b) elastic and inelastic collisions; and c) mass/energy equivalence. Understanding Standard PH.6 The concepts developed in this standard include the following: Kinetic energy is the energy of motion. Potential energy is the energy due to an object’s position or state. Total energy and momentum are conserved. For elastic collisions, total momentum and total kinetic energy are conserved. For inelastic collisions, total momentum is conserved and some kinetic energy is transformed to other forms of energy. Electrical charge moves through electrical circuits and is conserved. In some systems the conservation of mass and energy must take into account the principle of mass/energy equivalence. xx Essential Understanding, Knowledge, Processes, and Skills In order to meet this standard, it is expected that students will provide and explain examples of how energy can be converted from potential energy to kinetic energy and the reverse. provide and explain examples showing linear momentum is the product of mass and velocity, and is conserved in a closed system. Activities and Resources See Textbook Ch.11 for energy and the conversions/conservation of energy. Textbook “Physics Lab Conservation of Energy” (p.302) is a good KE-PE conversion/conservation activity See Textbook Ch.9 for momentum and conservation of momentum. Vernier Lab 19 is useful for an activity on the conservation of momentum A good applet for conservation of momentum is http://www.walterfendt.de/ph14e/collision.htm Physics Curriculum Guide 2012 Standard PH.7 PH.7 The student will investigate and understand that energy can be transferred and transformed to provide usable work. Key concepts include a) transfer and storage of energy among systems including mechanical, thermal, gravitational, electromagnetic, chemical, and nuclear systems; and b) efficiency of systems. Understanding Standard PH.7 The concepts developed in this standard include the following: Energy can be transformed from one form to another. Efficiency is the ratio of output work to input work. Essential Understanding, Knowledge, Processes, and Skills In order to meet this standard, it is expected that students will illustrate that energy can be transformed from one form to another, using examples from everyday life and technology. Activities and Resources A swinging pendulum is useful for demonstrating PE-KE conversions. calculate efficiency by identifying the useful energy in a process. An automobile is an excellent example of multiple energy conversions, from nuclear energy in the sun to mechanical energy between the tires and the pavement. qualitatively identify the various energy transformations in simple demonstrations. Efficiency, especially the efficiency of machines, is in Textbook, Ch. 10, Sect. 10.2 Many images of energy transformation are given in http://www.google.com/search?q=e nergy+transformations+examples& hl=en&prmd=imvns&tbm=isch&tb o=u&source=univ&sa=X&ei=0cXx T_IPKn46wGD58D8BQ&ved=0CF MQsAQ&biw=1280&bih=593 ii Physics Curriculum Guide 2012 Standard PH.8 PH.8 The student will investigate and understand wave phenomena. Key concepts include a) wave characteristics; b) fundamental wave processes; and c) light and sound in terms of wave models. Understanding Standard PH.8 The concepts developed in this standard include the following: Mechanical waves transport energy as a traveling disturbance in a medium. In a transverse wave, particles of the medium oscillate in a direction perpendicular to the direction the wave travels. In a longitudinal wave, particles of the medium oscillate in a direction parallel to the direction the wave travels. In order to meet this standard, it is expected that students will identify examples of and differentiate between transverse and longitudinal waves, using simulations and/or models. illustrate period, wavelength, and amplitude on a graphic representation of a wave. solve problems involving frequency, period, wavelength, and velocity. Wave velocity equals the product of the frequency and the wavelength. distinguish between superimposed waves that are in-phase and those that are out-of-phase. For small angles of oscillation, a pendulum exhibits simple harmonic motion. graphically illustrate reflection and refraction of a wave when it encounters a change in medium or a boundary. Frequency and period are reciprocals of each other. graphically illustrate constructive and destructive interference. Waves are reflected and transmitted ii Essential Understanding, Knowledge, Processes, and Skil Activities and Resources See Textbook Ch. 14 for Wave properties and wave behavior. A large coiled spring is useful for demonstrating both transverse and longitudinal waves (Textbook, p. 375) Simple harmonic motion and length dependency of a pendulum are found in Textbook, “Physics Lab-Pendulum Vibrations” (p.392) Textbook Lab Manual “Physics Lab 14-1” is a useful reflection and refraction activity Vernier Lab 21 “Sound Waves and Beats” can graphically demonstrate constructive and destructive interference between different pitched tuning forks Physics Curriculum Guide when they encounter a change in medium or a boundary. The overlapping of two or more waves results in constructive or destructive interference. When source and observer are in relative motion, a shift in frequency occurs (Doppler effect). Sound is a longitudinal mechanical wave that travels through matter. Light is a transverse electromagnetic wave that can travel through matter as well as a vacuum. Reflection is the change of direction of the wave in the original medium. Refraction is the change of direction of the wave at the boundary between two media. Diffraction is the spreading of a wave around a barrier or an aperture. The pitch of a note is determined by the frequency of the sound wave. The color of light is determined by the frequency of the light wave. As the amplitude of a sound wave increases, the loudness of the sound increases. As the amplitude of a light wave increases, the intensity of the light increases. iii 2012 identify a standing wave, using a string. The Doppler Effect is found in Textbook, p. 407 See Textbook Ch. 15 for sound and sound waves. Diffraction is demonstrated in Textbook Lab Manual “Physics Lab 14-2” Polarization of light is in Textbook, p.44 Several applets for wave behavior can be found at http://www.walterfendt.de/ph14e/ Physics Curriculum Guide Electromagnetic waves can be polarized by reflection or transmission. Polarizing filters allow light oriented in one direction (or component of) to pass through. iv 2012 Physics Curriculum Guide 2012 Standard PH.9 PH.9 The student will investigate and understand that different frequencies and wavelengths in the electromagnetic spectrum are phenomena ranging from radio waves through visible light to gamma radiation. Key concepts include a) the properties, behaviors, and relative size of radio waves, microwaves, infrared, visible light, ultraviolet, X-rays, and gamma rays; b) wave/particle dual nature of light; and c) current applications based on the respective wavelengths. Understanding Standard PH.9 The concepts developed in this standard include the following: Frequency, wavelength, and energy vary across the entire electromagnetic spectrum. The long wavelength, low frequency portion of the electromagnetic spectrum is used for communication (e.g., radio, TV, cellular phone). Medium wavelengths (infrared) are used for heating and remote control devices. Visible light comprises a relatively narrow portion of the electromagnetic spectrum. Ultraviolet (UV) wavelengths (shorter than the visible spectrum) are ionizing radiation and can cause damage to humans. UV is responsible for sunburn, and can be used for sterilization and fluorescence. X-rays and gamma rays are the highest v Essential Understanding, Knowledge, Processes, and Skills In order to meet this standard, it is expected that students will describe the change in observed frequency of waves due to the motion of a source or a receiver (the Doppler effect). identify common uses for radio waves, microwaves, X-rays and gamma rays. Activities and Resources The Doppler Effect for light (red shift and blue shift) is in Textbook, p. 446 Electromagnetic waves and the electromagnetic spectrum are in Textbook, Ch. 26, Sect. 26.2 A good website for the electromagnetic spectrum and its uses is http://www.darvill.clara.net/emag/in dex.htm Textbook Lab Manual “Physics Lab 19-1” is a good activity for measuring the wavelength of light using Young’s Double Slit. Physics Curriculum Guide frequency (shortest wavelength) and are used primarily for medical purposes. These wavelengths are also ionizing radiation and can cause damage to humans. vi 2012 Physics Curriculum Guide 2012 Standard PH.10 PH.10 The student will investigate and understand how to use the field concept to describe the effects of gravitational, electric, and magnetic forces. Key concepts include a) inverse square laws (Newton’s law of universal gravitation and Coulomb’s law); and b) technological applications. Understanding Standard PH.10 The concepts developed in this standard include the following: The electrostatic force (Coulomb’s law) can be either repulsive or attractive, depending on the sign of the charges. The gravitational force (Newton’s Law of Gravitation) is always an attractive force. The force found from Newton’s Law of Gravitation and in Coulomb’s law is dependent on the inverse square of the distance between two objects. The interaction of two particles at a distance can be described as a two-step process that occur simultaneously: the creation of a field by one of the particles and the interaction of the field with the second particle. The force a magnetic field exerts on a moving electrical charge has a direction perpendicular to both the velocity and field directions. Its magnitude is dependent on the velocity of the charge, ii Essential Understanding, Knowledge, Processes, and Skills In order to meet this standard, it is expected that students will describe the attractive or repulsive forces between objects relative to their forces and distance between them (Coulomb’s law). describe the attraction of particles (Newton’s Law of Universal Gravitation). describe the effect of a uniform magnetic field on a moving electrical charge. Activities and Resources The inverse square law can be demonstrated using Vernier Lab 32 “Light and Distance” The inverse square law as it affects gravitation is in Standard PH.5 Coulomb’s Law is in Textbook, Ch. 20, Sect. 20.2 The effects of magnetic fields on moving charges is in Textbook, Ch. 24, Sect. 24-2. A good demonstration of the effect of the magnetic field on electric charges is http://webphysics.davidson.edu/phy slet_resources/bu_semester2/c12_fo rce.html Physics Curriculum Guide the magnitude of the charge, and the strength of the magnetic field. iii 2012 Physics Curriculum Guide 2012 Standard PH.11 PH.11 The student will investigate and understand how to diagram, construct, and analyze basic electrical circuits and explain the function of various circuit components. Key concepts include a) Ohm’s law; b) series, parallel, and combined circuits; c) electrical power; and d) alternating and direct currents. Understanding Standard PH.11 The concepts developed in this standard include the following: In order to meet this standard, it is expected that students will Current is the rate at which charge moves through a circuit element. recognize a series and a parallel circuit. Electric potential difference (voltage) in a circuit provides the energy that drives the current. apply Ohm’s law to a series and a parallel circuit. Elements in a circuit are positioned relative to other elements either in series or parallel. According to Ohm’s law, the resistance of an element equals the voltage across the element divided by the current through the element. Potential difference (voltage) is the change in electrical potential energy per unit charge across that element. The dissipated power of a circuit element equals the product of the voltage across that element and the current through that ii Essential Understanding, Knowledge, Processes, and Skills assemble simple circuits composed of batteries and resistors in series and in parallel. solve simple circuits using Ohm’s law. calculate the dissipated power of a circuit element. recognize that DC power is supplied by batteries and that AC power is supplied by electrical wall sockets. Activities and Resources See Textbook Ch. 22 for electric currents, Ohm’s Law, electric energy and electric power. See Textbook Ch. 23 for series and parallel circuits, their construction, and their analysis. A good activity for parallel resistors is in Textbook Lab Manual “Physics Lab 23-1”. A good applet for circuits is http://www.walterfendt.de/ph14e/combres.htm There are many websites for interactive electric circuits. One useful example is http://phet.colorado.edu/en/simulati on/circuit-construction-kit-dc Physics Curriculum Guide element. In a DC (direct current) circuit, the current flows in one direction, whereas in an AC (alternating current) circuit, the current switches direction several times per second (60Hz in the U.S.). iii 2012 Physics Curriculum Guide 2012 Standard PH.12 PH.12 The student will investigate and understand that extremely large and extremely small quantities are not necessarily described by the same laws as those studied in Newtonian physics. Key concepts may include a) wave/particle duality; b) wave properties of matter; c) matter/energy equivalence; d) quantum mechanics and uncertainty; e) relativity; f) nuclear physics; g) solid state physics; h) nanotechnology; i) superconductivity; and j) radioactivity. Understanding Standard PH.12 The concepts developed in this standard include the following: For processes that are important on the atomic scale, objects exhibit both wave characteristics (e.g., interference) as well as particle characteristics (e.g., discrete amounts and a fixed definite number of electrons per atom). Nuclear physics is the study of the interaction of the protons and neutrons in the atom’s nucleus. The nuclear force binds protons and neutrons in the nucleus. Fission is the breakup of heavier nuclei to lighter nuclei. Fusion is the combination of ii Essential Understanding, Knowledge, Processes, and Skills In order to meet this standard, it is expected that students will explain that the motion of objects traveling near or approaching the speed of light does not follow Newtonian mechanics but must be treated within the theory of relativity. describe the relationship between the Big Bang theory timeline and particle physics. describe the structure of the atomic nucleus, including quarks. provide examples of technologies used to explore the nanoscale. Activities and Resources See Textbook Ch. 27 for an introduction to quantum theory and wave-particle duality. See Textbook Ch. 28 for the nature of the nuclear atom and quantum electron energy levels. See Textbook Ch. 29 for solid state electronics. See Textbook Ch. 30 for uses of the nucleus and nuclear energy. A good example of radioactive decay is http://www.loncapa.org/~mmp/applist/decay/decay. Physics Curriculum Guide lighter nuclei to heavier nuclei. htm Dramatic examples of mass-energy transformation are the fusion of hydrogen in the sun, which provides light and heat for Earth, and the fission process in nuclear reactors that provide electricity. An interesting activity using quarks to build hadrons is http://www.loncapa.org/~mmp/applist/q/q.htm Natural radioactivity is the spontaneous disintegration of unstable nuclei. Alpha, beta, and gamma rays are different emissions associated with radioactive decay. The special theory of relativity predicts that energy and matter can be converted into each other. Objects cannot travel faster than the speed of light. The atoms and molecules of many substances in the natural world, including most metals and minerals, bind together in regular arrays to form crystals. The structure of these crystals is important in determining the properties of these materials (appearance, hardness, etc.). Certain materials at very low temperatures exhibit the property of zero resistance called superconductivity. Electrons in orbitals can be treated as standing waves in order to model the atomic spectrum. Quantum mechanics requires an inverse iii 2012 A useful, though somewhat complicated, version of the photoelectric effect is http://www.walterfendt.de/ph14e/photoeffect.htm Textbook Lab Manual “Physics Lab 30-2” is an activity on measuring half life of a radioactive isotope. Time dilation is represented in an applet at http://www.walterfendt.de/ph14e/timedilation.htm Nanometer applications are widespread on the internet. One good example is http://www.nano.gov/ Physics Curriculum Guide relationship between the measurable location and the measurable momentum of a particle. The more accurately one determines the position of a particle, the less accurately the momentum can be known, and vice versa. This is known as the Heisenberg uncertainty principle. Matter behaves differently at nanometer scale (size and distance) than at macroscopic scale. iv 2012