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G Glleenn R Riiddggee P Puubblliicc S Scchhoooollss ––S Scciieennccee C Cuurrrriiccuulluum m Course Title: AP Physics 1 Subject: Physics Grade Level: 11-12 Duration: Full year Prerequisite: Geometry (with a grade of “B” or better), Algebra II or Algebra II Honors (concurrently), teacher recommendation, and completion of a summer assignment Elective or Required: Elective / Required Department Mission Statement: The Glen Ridge Public School’s science curriculum seeks to inspire scientific literate citizens who will be able to complete in the technologically driven global community. Our program fosters a spirit of intellectual curiosity and collaborative problem solving that is innovative, hands-on, inquiry based and developmentally appropriate. This is done through the study of Life, Physical, Earth & Space, and Engineering Sciences. Our students will use scientific methodology to evaluate and critique global issues. Students will be challenged and encouraged to take risks and develop critical scientific thinking skills. Course Description: This course is designed for a student with strong mathematical ability who has elected to take the Advanced Placement Physics 1 examination administered by The College Board during the month of May. It is intended to be equivalent to a first-semester college Physics course. Analytical methods involving collegelevel, algebra-based mathematics are emphasized throughout and utilizes basic trigonometry. The course follows topics required by The College Board. AP Physics 1 Curriculum – Summer 2014 – page 1 of 33 The AP Physics 1 course has been designed by The College Board to particularly emphasize the practice of science through the scientific inquiry and reasoning. Both “guided-inquiry” and “open-inquiry” are used for laboratory investigations. They are particularly intended to foster student engagement in the practice of science by stressing how a scientist approaches the solutions to problems using laboratory investigations based on the following seven Science Practices: 1. 2. 3. 4. 5. 6. 7. The student can use representations and models to communicate scientific phenomena and solve scientific problems. The student can use mathematics appropriately. The student can engage in scientific questioning to extend thinking or to guide investigations within the context of the AP course. The student can plan and implement data collection strategies in relation to a particular scientific question. The student can perform data analysis and evaluation of evidence. The student can work with scientific explanations and theories. The student is able to connect and relate knowledge across various scales, concepts, and representations in and across domains. The AP Physics 1 course is a prerequisite for the AP Physics 2 course which has been designed by The College Board to continue and deepen an understanding of introductory college–level Physics concepts. Author: Date Submitted: Michael Dancho Summer 2014 AP Physics 1 Topic/Unit: PHYSICS: Experiments, Fundamentals, and Tools (This unit is NOT formally prescribed by The College Board, but has been found to be necessary to provide an important foundation for the study of Physics.) Approximate # of Weeks: 2 of 30 weeks Essential Questions: A. What are the most important considerations in designing an experimental investigation based on a question about the physical world? B. What are some common methods to analyze experimental data? C. How is the analysis of error important in experimental investigations? D. What are several methods – including technology - by which scientists communicate their experimental results? AP Physics 1 Curriculum – Summer 2014 – page 2 of 33 A-1. A-2. B-1. C-1. D-1. Design experiments NJCCC: 5.1.12.A.3, 5.1.12.B.1, Students will understand the process of designing experiments, so they can: a) describe the purpose of an experiment or a problem to be investigated. b) identify equipment needed and describe how it is to be used. c) draw a diagram or provide a description of an experimental setup. d) describe procedures to be used, including controls and measurements to be taken. Observe and measure real phenomena NJCCC: 5.1.12.D.3 Students will be able to make relevant observations and be able to SAFELY take measurements with a variety of instruments using the proper number of significant figures based on the particular instrument being used. Analyze data NJCCC: 5.1.12.A.1, 5.1.12.A.2, 5.1.12.B.1 Students will understand how to analyze data, so they can: a) display data in graphical or tabular form. b) fit lines and curves “of best fit” to data points in graphs. c) perform calculations with data. d) answer the investigation question based on experimental evidence e) make extrapolations and interpolations from data. Analyze errors NJCCC: 5.1.12.A.3, 5.1.12.C.1, 5.1.12.C.2, 5.1.12.C.3 Students will understand measurement error and experimental error, so they can: a) identify sources of error and how they propagate. b) estimate magnitude and direction of errors. c) determine significant digits. d) identify ways to reduce error. Communicate results NJCCC: 5.1.12.D.3 Students will understand how to summarize and communicate results, so they can: a) draw inferences and conclusions from experimental data. b) suggest ways to improve experiment. c) propose questions for further study. Essential Questions: A. What is Physics, Classical Physics, and Modern Physics? B. Why is the study of Physics important to every educated, informed citizen? C. What determines “truth” in Physics, as well as all fields of science? D. What measurement skills, mathematics skills, and experimental investigation techniques form the basis for the study of Physics? E. How are the fundamental discoveries in Physics and their technological applications important to society? AP Physics 1 Curriculum – Summer 2014 – page 3 of 33 Upon completion of this unit involving experiments, fundamentals, and tools, students will be able to A-1. define the Physics and list some of its major fields of study: Classical Physics: mechanics, fluids, electricity, magnetism, electromagnetism, waves, sound, light, heat and thermodynamics, as well as Modern Physics: atomic and nuclear physics. NGSS: PS1.A; NJCCC: 5.2.12.C.2. 5.2.12.C.3 B-1. relate physics to other fields of study and to careers, as well as its relevance to decisions facing a well-informed citizen in a technological society. B-2. appreciate the historical role played by the ancient Greeks (especially Aristotle) in the history of science, as well as that played by Galileo as the Father of Experimental Science and other scientists. NJCCC: 5.4.12.A.1 B-3. relate creativity and collaboration in Physics using observation, theory creation, testing of a theory, and the tentative nature of a theory. NJCCC: 5.1.12.D.1 C-1. explain the role of models, theories, principles, and laws in Physics, and how they are all based on experimental evidence which determines “truth” in science.. D-1. demonstrate an ability to use a scientific method of investigation used in our class and based on: observation, question, experiment design, data, data analysis, results, sources of experimental error, and ideas for further investigation. D-2. understand that, while there is no single “scientific method,” there are common methods used by all scientists. D-3. demonstrate an ability to follow the orderly approach to problemsolving using in this Physics class. D-4. realize that the discoveries of Physics are based on measurement of physical quantities; differentiate between a unit of measurement and a standard of measurement. D-5. state the Systeme Internationale (SI) , cgs, and British System standard units of mass, length, and time which form the basis for the study of mechanics. NGSS: PS2.A D-6. differentiate between a base unit and a derived unit of measurement. D-7. perform a mathematical analysis of a particular set of lab data by determining the NJCCC: 5.1.12.A.1 a) mean, median, and range for a set of data b) the average deviation and percent deviation of a set of data c) absolute error and relative error between an experimentally determined data value and an accepted value for the data. d) percent difference between two measurements. D-8. demonstrate a working knowledge of measurement, significant figures, uncertainty – including estimated uncertainty and percent uncertainty. D-9. distinguish between accuracy and precision and indicate the precision of a measurement using the proper number of significant figures when recording measurements AP Physics 1 Curriculum – Summer 2014 – page 4 of 33 D-10. recognize the existence of significant figure rules used to deal with expressing the proper number of significant figures in the results of mathematical operations using data. D-11. use the convention that operational results will be generally rounded to three significant figures in this class. D-12. express a measurement in decimal and in scientific notation (exponential notation), and perform basic mathematical operations with measurements expressed in scientific notation. D-13. state the abbreviations and values of some commonly used metric prefixes: giga, mega, kilo, deci, centi, milli, micro, nano, and pico. D-14. use the conversion factor method (factor-label method) to convert measurements from one unit to another unit. D-15. demonstrate an ability to manipulate algebraic equations, especially for use in dimensional analysis. D-16. demonstrate the use of order of magnitude in rapid estimating of computational results. D-17. distinguish between dependent and independent variables when investigating relationships between physical quantities in experimental activities. D-18. correctly plot data points on a graph according to convention, and understand how smooth curves (curves of “best-fit”) drawn through data points represent the mathematical relationship between the independent and dependent variables. D-19. recognize linear (and direct) relationships, calculate the slope of a straight line (with appropriate units), and recognize the physical significance of the slope. NJCCC: 5.1.12.B.2 D-20. recognize parabolic (quadratic), hyperbolic (inverse), and inverse square relationships; “linearize” these relationships, calculate the slopes (with proper units) of these straight lines, and recognize the physical significance of these slopes. NJCCC: 5.1.12.B.2 D-21. use – as necessary – scientific calculator, graphing calculators, computer technology and spreadsheet software programs to analyze and present data from Physics investigations. NJCCC: 5.1.12.B.2 E-1. assess the risks and benefits associated with alternative solutions to problems. E-2. explore cases that demonstrate the interdisciplinary nature of the scientific enterprise. E-3. recognize the role of the scientific community in responding to changing social and political conditions, and how scientific and technological achievement effect historical events. E-4. explain and give an example of how theory, experiment, and Physics research lead to the application of scientific discoveries in Physics into technological advances and assess the impact of introducing a new technology in terms of alternative solutions, costs, tradeoffs, risks, benefits, and environmental impact. AP Physics 1 Curriculum – Summer 2014 – page 5 of 33 E-5. plan, develop, and implement a proposal to solve an authentic, technological problem. Common Core Standards: CCSS.ELA.RST.1, 2, 3, 4, 5, 6, 7, 9, 10 (text evidence, experimental analysis) CCSS.ELA.WHST. 1, 2, 4, 5, 6, 7, 9 (analysis of data and writing of lab reports) CCSS.MATH.CONTENT.HSN.Q.A.1, 2, 3 (measurement, units, multi-step problems) CCSS.MATH.CONTENT.HSA.SSE. A.1, 1.a, 1.b (math expressions) CCSS.MATH.CONTENT.HSA.CED.A.1, 2, 3, 4 (equations and relationships) CCSS.MATH.CONTENT.HSA.REI.A.1, 2 (reasoning with equations; radicals) CCSS.MATH.CONTENT.HSA.REI.B.3, 4.b (linear & quadratic equations) CCSS.MATH.CONTENT.HSF.IF.B.4, 6 (graphing & rate of change of variables) CCSS.MATH.CONTENT.HSF.IF.C.7, 7.a (linear and exponential graph analysis) CCSS.MATH.CONTENT.HSF.LE.A.1,1.a,1.b,1.c (linear and exponential graphs) CCSS.MATH.CONTENT.HSS.ID.A.2, 3 (statistical analysis of data) CCSS.MATH.CONTENT.HSS.ID.B.6, 6.a, 6.c (statistical analysis of two variable data) CCSS.MATH.CONTENT.HSS.ID.C.7, 8 (data and linear regression; slope and y-intercept) Interdisciplinary Standards (njcccs.org) Standard 9.1 – 21st-Century Life & Career Skills Standard 9.3 – Career Awareness, Exploration, and Preparation Standard 8.1 – Computer and Information Literacy Standard 8.2 – Technology Education Standard 6.3 – Active Citizenship in the 21st Century Activities – include 21st Century Technologies: Using the Starboard presentation system, students will participate in Physics demonstrations with qualitative and/or quantitative discussions NJCCC: 5.1.12.D.1 take PowerPoint class notes use “smart” phones as stopwatches, protractors, and for information searches. Students will, from time to time, use their graphing calculators to analyze data. Participation in either “guided-inquiry” or “open-inquiry” mini-laboratory exercises and/or “in-depth” laboratory investigations: Introductory Experiment: The Simple Pendulum Measuring Mass, Length, and Time Measuring Mass, Length, and Time: Error Analysis Hooke’s Law: A Spring and Its Spring Constant Hooke’s Law: Behavior of a Rubber band Enrichment Activities: AP Physics 1 Curriculum – Summer 2014 – page 6 of 33 Research the history of measurement, write a short summary, and prepare a short PowerPoint presentation of your findings. Research the theoretical foundation of special relativity and mass, length, and time, write a short summary, and prepare a short PowerPoint presentation of your findings. Research recent technological advances and their relationship to Physics, write a short summary, and prepare a short PowerPoint presentation of your findings. Methods of Assessments/Evaluation: “Think - Pair- Share” activities Revisit “Essential Questions” “Thumb Up-Down-Horizontal” assessment of concept understanding Exit slips (written or oral) Computer-generated “Individualized Problem Sets” (IPSs) “Homework” quizzes Announced and unannounced class quizzes Major topic or unit tests Written laboratory reports and lab results discussion NJCCC: 5.1.12.D.1, 5.1.12.D.2 Information searches (library and internet research) Midterm Examination Final Examination Resources/Including Online Resources Current course textbook: Giancoli, D.C. Physics: Principles with Applications (6th edition). Pearson Education Inc, Upper Saddle River, NJ. 2009. (0-13-707302-6) Online student resource for the textbook: http://wps.prenhall.com/esm_giancoli_physicsppa_6/16/4350/1113739.cw/in dex.html M Dancho’s Physics Webpage: http://glenridge.org/Domain/193 “The Mechanical Universe” Physics video set (classroom use but can also be found online) Youtube.com for Physics demonstrations, lectures, concept review (especially through the Massachusetts Institute of Technology (MIT) ) http://www.physicsclassroom.com/ for review of basic Physics concepts. http://www.hippocampus.org/ presents an overview of Physics topics. AP Physics 1 Curriculum – Summer 2014 – page 7 of 33 http://phet.colorado.edu is a good source of Physics “virtual” experiments and learning applets. AP Physics 1 Topic/Unit: BIG IDEA 1: Objects and systems have properties such as mass and charge. Systems may have internal structure. Approximate # Of Weeks: 4 of 30 weeks Essential Questions: A. Does the internal structure of a system determine the properties of the system? B. Is electric charge a property of an object or system that affects it’s interactions with other objects or systems containing charge? C. Do objects and systems have properties of inertial mass and gravitational mass that are experimentally verified to be the same and that satisfy conservation principles? D. (This item is not included in the AP Physics 1 course published by The College Board.) E. Do materials have many macroscopic properties that result from the arrangement and interaction of atoms and molecules that make up the material? Upon completion of this unit students will be able to: A-1. construct representations of the differences between a fundamental particle and a system composed of fundamental particles and to relate this to the properties and scales of the system being investigated. NGSS: PS1.A A-2. model verbally or visually the properties of a system based on its substructure and to relate this to changes in the system properties over time as external variables are changes. NJCCC: 5.2.12.A.1 B-1. make claims about natural phenomena based on conservation of electric charge. NGSS: PS1.A, PS3.B B-2. make predictions, using the conservation of charge, about the sign and relative quantity of net charge if objects or systems after various charging processes, including conservation of charge in simple circuits. NCSS: PS3.B B-3. construct an explanation of the two-charge model of electric charge based on evidence produced through scientific practices. NGSS: PS1.A; NJCCC: 5.2.12.A.1 B-4. challenge the claim that an electric charge smaller than the elementary charge has been isolated. NGSS: PS1.A AP Physics 1 Curriculum – Summer 2014 – page 8 of 33 C-1. C-2. E-1. design an experiment for collecting data to determine the relationship between the net force exerted on an object, its inertial mass, and its acceleration. NGSS: PS2.A, PS2.A; NJCCC: 5.2.12.E.4 design a plan for collection data to measure gravitational mass and to measure inertial mass and to distinguish between the two experiments. choose and justify the selection of data needed to determine resistivity for a given material. Common Core Standards: CCSS.ELA.RST.1, 2, 3, 4, 5, 6, 7, 9, 10 (text evidence, experimental analysis) CCSS.ELA.WHST. 1, 2, 4, 5, 6, 7, 9 (analysis of data and writing of lab reports) CCSS.MATH.CONTENT.HSN.Q.A.1, 2, 3 (measurement, units, multi-step problems) CCSS.MATH.CONTENT.HSA.SSE. A.1, 1.a, 1.b (math expressions) CCSS.MATH.CONTENT.HSA.CED.A.1, 2, 3, 4 (equations and relationships) CCSS.MATH.CONTENT.HSA.REI.A.1, 2 (reasoning with equations; radicals) CCSS.MATH.CONTENT.HSA.REI.B.3, 4.b (linear & quadratic equations) CCSS.MATH.CONTENT.HSF.IF.B.4, 6 (graphing & rate of change of variables) CCSS.MATH.CONTENT.HSF.IF.C.7, 7.a (linear and exponential graph analysis) CCSS.MATH.CONTENT.HSF.LE.A.1,1.a,1.b,1.c (linear and exponential graphs) CCSS.MATH.CONTENT.HSS.ID.A.2, 3 (statistical analysis of data) CCSS.MATH.CONTENT.HSS.ID.B.6, 6.a, 6.c (statistical analysis of two variable data) CCSS.MATH.CONTENT.HSS.ID.C.7, 8 (data and linear regression; slope and y-intercept) Interdisciplinary Standards (njcccs.org) Standard 9.1 – 21st-Century Life & Career Skills Standard 9.3 – Career Awareness, Exploration, and Preparation Standard 8.1 – Computer and Information Literacy Standard 8.2 – Technology Education Standard 6.3 – Active Citizenship in the 21st Century Activities – include 21st Century Technologies: Using the Starboard presentation system, student will participate in Physics demonstrations with qualitative and/or quantitative discussions NJCCC: 5.1.12.D.1 take PowerPoint class notes use “smart” phones as stopwatches, protractors, and for information searches. Students will, from time to time, use their graphing calculators to analyze data. Participation in either “guided-inquiry” or “open-inquiry” mini-laboratory exercises and/or “in-depth” laboratory investigations: Electric Charge, Electric Force, & Conservation of Charge Charging an Electroscope AP Physics 1 Curriculum – Summer 2014 – page 9 of 33 Inertial Mass and Gravitational Mass Electrical Resistivity and Resistance Ohm’s Law and the Filament of a Light Blub Ohm’s Law and a “Lead” Pencil Ohm’s Law and an Electrical Resistor Enrichment Activities: Research the design and operation of photocopy, laser, and inkjet printers, write a short summary, and prepare a short PowerPoint presentation of your findings. Research superconductivity, write a short summary, and prepare a short PowerPoint presentation of your findings. Methods of Assessments/Evaluation: “Think - Pair- Share” activities Revisit “Essential Questions” “Thumb Up-Down-Horizontal” assessment of concept understanding Exit slips (written or oral) Computer-generated “Individualized Problem Sets” (IPSs) “Homework” quizzes Announced and unannounced class quizzes Major topic or unit tests Written laboratory reports and lab results discussion NJCCC: 5.1.12.D.1, 5.1.12.D.2 Information searches (library and internet research) Midterm Examination Final Examination Resources/Including Online Resources Current course textbook: Giancoli, D.C. Physics: Principles with Applications (6th edition). Pearson Education Inc, Upper Saddle River, NJ. 2009. (0-13-707302-6) Online student resource for the textbook: http://wps.prenhall.com/esm_giancoli_physicsppa_6/16/4350/1113739.cw/in dex.html M Dancho’s Physics Webpage: http://glenridge.org/Domain/193 “The Mechanical Universe” Physics video set (classroom use but can also be found on-line) Youtube.com for Physics demonstrations, lectures, concept review (especially through the Massachusetts Institute of Technology (MIT) ) AP Physics 1 Curriculum – Summer 2014 – page 10 of 33 http://www.physicsclassroom.com/ for review of basic Physics concepts. http://www.hippocampus.org/ presents an overview of Physics topics. http://phet.colorado.edu is a good source of Physics “virtual” experiments and learning applets. AP Physics 1 Topic/Unit: BIG IDEA 2: Fields existing in space can be used to explain interactions. Approximate # Of Weeks: 1 of 30 weeks Essential Questions: A. A field associates a value of some physical quantity with every point in space. How can field models be useful for describing interactions that occur at a distance (long-range forces) as well as a variety of other physical phenomena? B. How is a gravitational field caused by an object with mass? Upon completion of this unit students will be able to: A-1. qualitatively and quantitatively describe a vector field in terms of magnitude and direction of field vectors. NCSS: PS2.B A-2. qualitatively and quantitatively describe a vector field for more than one source in terms of the addition of magnitude and direction of field vectors. NCSS: PS2.B A-3. make inferences about the number, relative size, and location of sources when given a known vector field. NCSS: PS2.B B-1. apply F = m g to calculate the gravitational force on an object with mass m in a gravitational field of strength g in the context of the effects of a new force on objects and systems. NGSS: PS2.A, PS2.B B-2. apply g = G M / r2 to calculate the gravitational field due to an object of mass M , where the field is a vector directed toward the center of the object of mass M. NCSS: PS2.B B-3. approximate a numerical value of the gravitational field (g) near the surface of an object from its radius and mass relative to those of the Earth or other reference objects. NCSS: PS2.B Common Core Standards: CCSS.ELA.RST.1, 2, 3, 4, 5, 6, 7, 9, 10 (text evidence, experimental analysis) CCSS.ELA.WHST. 1, 2, 4, 5, 6, 7, 9 (analysis of data and writing of lab reports) CCSS.MATH.CONTENT.HSN.Q.A.1, 2, 3 (measurement, units, multi-step problems) CCSS.MATH.CONTENT.HSA.SSE. A.1, 1.a, 1.b (math expressions) CCSS.MATH.CONTENT.HSA.CED.A.1, 2, 3, 4 (equations and relationships) AP Physics 1 Curriculum – Summer 2014 – page 11 of 33 CCSS.MATH.CONTENT.HSA.REI.A.1, 2 (reasoning with equations; radicals) CCSS.MATH.CONTENT.HSA.REI.B.3, 4.b (linear & quadratic equations) CCSS.MATH.CONTENT.HSA.REI.C.5, 6 (systems of linear equations) CCSS.MATH.CONTENT.HSF.IF.B.4, 6 (graphing & rate of change of variables) CCSS.MATH.CONTENT.HSF.IF.C.7, 7.a (linear and exponential graph analysis) CCSS.MATH.CONTENT.HSF.LE.A.1,1.a,1.b,1.c (linear and exponential graphs) CCSS.MATH.CONTENT.HSG.SRT.C.6 (sine, cosine, tangent of a right triangle) CCSS.MATH.CONTENT.HSG.SRT.C.8 (trig ratios and Pythagorean theorem) CCSS.MATH.CONTENT.HSS.ID.A.2, 3 (statistical analysis of data) CCSS.MATH.CONTENT.HSS.ID.B.6, 6.a, 6.c (statistical analysis of two variable data) CCSS.MATH.CONTENT.HSS.ID.C.7, 8 (data and linear regression; slope and y-intercept) Interdisciplinary Standards (njcccs.org) Standard 9.1 – 21st-Century Life & Career Skills Standard 9.3 – Career Awareness, Exploration, and Preparation Standard 8.1 – Computer and Information Literacy Standard 8.2 – Technology Education Standard 6.3 – Active Citizenship in the 21st Century Activities – include 21st Century Technologies: Using the Starboard presentation system, student will participate in Physics demonstrations with qualitative and/or quantitative discussions NJCCC: 5.1.12.D.1 take PowerPoint class notes use “smart” phones as stopwatches, protractors, and for information searches. Students will, from time to time, use their graphing calculators to analyze data. Participation in either “guided-inquiry” or “open-inquiry” mini-laboratory exercises and/or “in-depth” laboratory investigations: Addition of Vector Quantities Graphically Addition of Vectors Analytically Enrichment Activities: Research the concept of a graviton, write a short summary, and prepare a short PowerPoint presentation of your findings. Methods of Assessments/Evaluation: “Think - Pair- Share” activities Revisit “Essential Questions” “Thumb Up-Down-Horizontal” assessment of concept understanding Exit slips (written or oral) AP Physics 1 Curriculum – Summer 2014 – page 12 of 33 Computer-generated “Individualized Problem Sets” (IPSs) “Homework” quizzes Announced and unannounced class quizzes Major topic or unit tests Written laboratory reports and lab results discussion NJCCC: 5.1.12.D.1, 5.1.12.D.2 Information searches (library and internet research) Midterm Examination Final Examination Resources/Including Online Resources Current course textbook: Giancoli, D.C. Physics: Principles with Applications (6th edition). Pearson Education Inc, Upper Saddle River, NJ. 2009. (0-13-707302-6) Online student resource for the textbook: http://wps.prenhall.com/esm_giancoli_physicsppa_6/16/4350/1113739.cw/in dex.html M Dancho’s Physics Webpage: http://glenridge.org/Domain/193 “The Mechanical Universe” Physics video set (classroom use but can also be found on-line) Youtube.com for Physics demonstrations, lectures, concept review (especially through the Massachusetts Institute of Technology (MIT) ) http://www.physicsclassroom.com/ for review of basic Physics concepts. http://www.hippocampus.org/ presents an overview of Physics topics. http://phet.colorado.edu is a good source of Physics “virtual” experiments and learning applets. AP Physics 1 Topic/Unit: BIG IDEA 3: The interactions of an object with other objects can be described by forces. Approximate # Of Weeks: 7 of 30 weeks AP Physics 1 Curriculum – Summer 2014 – page 13 of 33 Essential Questions: A. What are the common characteristics shared by all forces when they are considered by observers in inertial frames of reference? B. In classical terms, how can the acceleration of an object interacting with other objects be predicted by using a = Σ F / m ? C. How are forces categorized as being either long-range (action-at-adistance) forces or contact forces at the macroscopic level? D. How does the momentum of an object change when a force acts on the object E. How does the kinetic energy of an object change when a force acts on the object? F. How can a force exerted on an object cause a torque on that object? G. Why are certain types of forces considered fundamental? Upon completion of this unit students will be able to: A-1. express the motion of an object using a narrative, mathematical, and graphical representations. A-2. design an experimental investigation of the motion of an object. A-3. analyze experimental data describing the motion of an object and express the results of the analysis using narrative, mathematical, and graphical representations. A-4. represent forces in diagrams or mathematically using appropriately labeled vectors with magnitude, direction, and units during the analysis of a situation. NGSS: PS2.A A-5. analyze a scenario and make claims (develop arguments, justify assertions) about the forces exerted on an object by other objects for difference types of forces or components of forces. NGSS: PS2.A A-6. challenge a claim that an object can exert a force on itself. NGSS: PS2.A A-7. describe a force as an interaction between two objects and identify both objects for any force. NGSS: PS2.A A-8. construct explanations of physical situations involving the interaction of bodies using Newton’s third law and the representation of action-reaction pairs of forces. NGSS: PS2.A A-9. use Newton’s third law to make claims and predictions about the actionreaction pairs of forces when two objects interact. NGSS: PS2.A A-10. analyze situations involving interactions among several objects by using free-body diagrams that include the application of Newton’s third law to indentify forces. NGSS: PS2.A B-1. predict the motion of an object subject to forces exerted by several objects using an application of Newton’s second law in a variety of physical situation with acceleration in one dimension. NGSS: PS2.A; NJCCC:5.2.12.E.4 B-2. design a plan to collect and analyze data for motion (static, constant, accelerating) from force measurements and carry out an analysis to determine the relationship between the net force and the vector sum of the AP Physics 1 Curriculum – Summer 2014 – page 14 of 33 B-3. B-4. B-5. B-6. B-7. B-8. C-1. C-2. C-3. C-4. C-5. C-6. D-1. D-2. D-3. D-4. individual forces. NGSS: PS2.A; NJCCC: 5.1.12.B.1, 5.1.12.B.2, 5.1.12.B.3, 5.1.12.B.4, 5.2.12.E.4 re-express a free-body diagram representation into a mathematical representation and solve the mathematical representation for the acceleration of the object. NGSS: PS2.A; NJCCC: 5.2.12.E.1, 5.2.12.E.4 create and use free-body diagrams to analyze physical situation to solve problems with motion qualitatively and quantitatively. to predict which properties determine the motion of a simple harmonic oscillator and what the dependence of the motion is on those properties. design a plan and collect data in order to ascertain the characteristics of motion of a system undergoing oscillatory motion caused by a restoring force. NJCCC: 5.1.12.B.1, 5.1.12.B.2, 5.1.12.B.3, 5.1.12.B.4 analyze data to identify qualitative and quantitative relationships between given values and variables (i.e., force, displacement, acceleration, velocity, period of motion, frequency, spring constant, string length, mass) associated with objects in oscillatory motion to use that data to determine the value of an unknown. NGSS: PS2.A; NJCCC: 5.2.12.E.1, 5.2.12.E.4 construct a qualitative and/or a quantitative explanation of oscillatory behavior given evidence of a restoring force. NGSS: PS2.A use Newton’s law of gravitation to calculate the gravitational force the two objects exert on each other and use that force in contexts other than orbital motion. NGSS: PS2.A use Newton’s law of gravitation to calculate the gravitational force between two objects and use the force in contexts involving circular orbital motion. NGSS: PS2.A use Coulomb’s law qualitatively and quantitatively to make predictions about the interaction between two electric point charges. NGSS: PS1.A connect the concepts of gravitational force and electric force to compare similarities and difference between the two forces. NGSS: PS2.A make claims about various contact forces between objects based on the microscopic cause of those forces. NGSS: PS2.A, PS2.B explain contact forces (tension, friction, normal, buoyant, spring) as arising from inter-atomic electric forces and that they therefore have certain directions. NGSS: PS1.A; PS2.A, PS2.B; NJCCC: 5.2.12.A.2 justify the selection of data needed to determine the relationship between the direction of the force acting on an object and the change in momentum caused by that force. NGSS: PS2.A justify the selection of routines for the calculation of the relationships between changes in momentum of an object, average force, impulse, and time of interaction. NGSS: PS2.A predict the change in momentum of an object from the average force exerted on the object and the interval of time during which the force is exerted. NGSS: PS2.A analyze data to characterize the change in momentum of an object from the average force exerted on the object and the interval of time during which the force is exerted. NGSS: PS2.A AP Physics 1 Curriculum – Summer 2014 – page 15 of 33 D-5. design a plan for collecting data to invest6igate the relationship between changes in momentum and the average force exerted on an object over time. NGSS: PS2.A; NJCCC: 5.1.12.B.1, 5.1.12.B.2, 5.1.12.B.3, 5.1.12.B.4 E-1. make prediction about the changes in kinetic energy of an object based on considerations of the direction of the net force on the object as the object moves. NGSS: PS2.A; PS3.A; NJCCC: 5.2.12.E.4 E-2. use net force and velocity vectors to determine qualitatively whether kinetic energy of an object would increase, decrease, or remain unchanged. NGSS: PS2.A, PS3.A; NJCCC: 5.2.12.E.4 E-3. use force and velocity vectors to determine qualitatively and quantitatively the net force exerted kinetic energy of an object would increase, decrease, or remain unchanged. NGSS: PS2.A, PS3.A; NJCCC: 5.2.12.E.4 E-4. apply mathematical routines to determine the change in kinetic energy of an object given the forces on the object and the displacement of the object. NGSS: PS2.A, PS3.A F-1. use representations of the relationship between force and torque. NGSS: PS2.A F-2. compare the torques on an object caused by various forces. NGSS: PS2.A F-3. estimate the torque on an object caused by various forces in comparison to other situations. NGSS: PS2.A F-4. design an experiment and analyze data testing a question about torques in a balanced rigid system. NJCCC: 5.1.12.B.1, 5.1.12.B.2, 5.1.12.B.3, 5.1.12.B.4 F-5. calculate torques on a two-dimensional system in static equilibrium by examining a representation or model (such as a diagram or physical construction.) F-6. make predictions about the change in the angular velocity about an axis for an object when forces exerted on the object cause a torque about that axis. NGSS: PS2.A F-7. plan data collection and analysis strategies designed to test the relationship between a torque exerted on an object and the change in angular velocity of that object about an axis. NJCCC: 5.1.12.B.1, 5.1.12.B.2, 5.1.12.B.3, 5.1.12.B.4 F-8. predict the behavior of rotational collision situations by the same processes that are used to analyze linear collision situations using an analogy between impulse and change in linear momentum and angular impulse and change in angular momentum. NCSS: PS2.A; NJCCC: 5.2.12.E.2, 5.2.12.D.4 F-9 justify in an unfamiliar context or using representations beyond equations the selection of a mathematical routine to solve for the change in angular momentum of an object caused by torques exerted on the object NCSS: PS2.A F-10. plan data collection and analysis strategies designed to test the relationship between torques exerted on an object and the change in AP Physics 1 Curriculum – Summer 2014 – page 16 of 33 G-1. angular momentum of that object. NCSS: PS2.A; NJCCC: 5.1.12.B.1, 5.1.12.B.2, 5.1.12.B.3, 5.1.12.B.4 articulate situations when the gravitational force is the dominant force and when the electromagnetic, weak, and strong forces can be ignored. NGSS: PS2.A Common Core Standards: CCSS.ELA.RST.1, 2, 3, 4, 5, 6, 7, 9, 10 (text evidence, experimental analysis) CCSS.ELA.WHST. 1, 2, 4, 5, 6, 7, 9 (analysis of data and writing of lab reports) CCSS.MATH.CONTENT.HSN.Q.A.1, 2, 3 (measurement, units, multi-step problems) CCSS.MATH.CONTENT.HSA.SSE. A.1, 1.a, 1.b (math expressions) CCSS.MATH.CONTENT.HSA.CED.A.1, 2, 3, 4 (equations and relationships) CCSS.MATH.CONTENT.HSA.REI.A.1, 2 (reasoning with equations; radicals) CCSS.MATH.CONTENT.HSA.REI.B.3, 4.b (linear & quadratic equations) CCSS.MATH.CONTENT.HSA.REI.C.5, 6 (systems of linear equations) CCSS.MATH.CONTENT.HSF.IF.B.4, 6 (graphing & rate of change of variables) CCSS.MATH.CONTENT.HSF.IF.C.7, 7.a (linear and exponential graph analysis) CCSS.MATH.CONTENT.HSF.LE.A.1,1.a,1.b,1.c (linear and exponential graphs) CCSS.MATH.CONTENT.HSG.C.A.2 (circle relationships) CCSS.MATH.CONTENT.HSG.C.A.4 (tangent to a circle) CCSS.MATH.CONTENT.HSG.C.B.5 (circle radius and radian measure) CCSS.MATH.CONTENT.HSG.SRT.C.6 (sine, cosine, tangent of a right triangle) CCSS.MATH.CONTENT.HSG.SRT.C.8 (trig ratios and Pythagorean theorem) CCSS.MATH.CONTENT.HSS.ID.A.2, 3 (statistical analysis of data) CCSS.MATH.CONTENT.HSS.ID.B.6, 6.a, 6.c (statistical analysis of two variable data) CCSS.MATH.CONTENT.HSS.ID.C.7, 8 (data and linear regression; slope and y-intercept) Interdisciplinary Standards (njcccs.org) Standard 9.1 – 21st-Century Life & Career Skills Standard 9.3 – Career Awareness, Exploration, and Preparation Standard 8.1 – Computer and Information Literacy Standard 8.2 – Technology Education Standard 6.3 – Active Citizenship in the 21st Century Activities – include 21st Century Technologies: Using the Starboard presentation system, student will participate in Physics demonstrations with qualitative and/or quantitative discussions NJCCC: 5.1.12.D.1 take PowerPoint class notes use “smart” phones as stopwatches, protractors, and for information searches. Students will, from time to time, use their graphing calculators to analyze data. AP Physics 1 Curriculum – Summer 2014 – page 17 of 33 Participation in either “guided-inquiry” or “open-inquiry” mini-laboratory exercises and/or “in-depth” laboratory investigations: Motion at Constant Velocity Motion at Constant Acceleration (Galileo’s Experiment) Motion of a Cart with Variable Velocity Determining a Value for the Acceleration of Gravity Projectile Motion of an Object Launched Horizontally Projectile Motion of an Object Launched Upward at an Angle to the Horizontal Uniform Circular Motion and Centripetal Force Addition of Several Forces: Translational Equilibrium Motion of a Simple Pendulum: Period and Length Motion of a Simple Pendulum: Period and Amplitude Vertical Motion of a Mass on a Spring: Period and Mass Vertical Motion of a Mass on a Spring: Period and Amplitude Coulomb’s Law for Point Charges Kinetic Friction and the Coefficient of Friction Static Friction and An Object on an Inclined Plane Work and Change in Kinetic Energy Torque and Rotational Equilibrium Torque and Change in Angular Momentum Enrichment Activities: Research a physical pendulum, write a short summary, and prepare a short PowerPoint presentation of your findings. Research the Physics of a particular sport, write a short summary, and prepare a short PowerPoint presentation of your findings. Research the application of torque and angular motion to the design and operation of the catapult and trebuchet, write a short summary, and prepare a short PowerPoint presentation of your findings. Research the application of torque and angular motion to the design and operation of machines, write a short summary, and prepare a short PowerPoint presentation of your findings. Methods of Assessments/Evaluation: “Think - Pair- Share” activities Revisit “Essential Questions” “Thumb Up-Down-Horizontal” assessment of concept understanding Exit slips (written or oral) Computer-generated “Individualized Problem Sets” (IPSs) “Homework” quizzes Announced and unannounced class quizzes Major topic or unit tests AP Physics 1 Curriculum – Summer 2014 – page 18 of 33 Written laboratory reports and lab results discussion NJCCC: 5.1.12.D.1, 5.1.12.D.2 Information searches (library and internet research) Midterm Examination Final Examination Resources/Including Online Resources Current course textbook: Giancoli, D.C. Physics: Principles with Applications (6th edition). Pearson Education Inc, Upper Saddle River, NJ. 2009. (0-13-707302-6) Online student resource for the textbook: http://wps.prenhall.com/esm_giancoli_physicsppa_6/16/4350/1113739.cw/in dex.html M Dancho’s Physics Webpage: http://glenridge.org/Domain/193 “The Mechanical Universe” Physics video set (classroom use but can also be found on-line) Youtube.com for Physics demonstrations, lectures, concept review (especially through the Massachusetts Institute of Technology (MIT) ) http://www.physicsclassroom.com/ for review of basic Physics concepts. http://www.hippocampus.org/ presents an overview of Physics topics. http://phet.colorado.edu is a good source of Physics “virtual” experiments and learning applets. AP Physics 1 Topic/Unit: BIG IDEA 4: Interactions between systems can result in changes in those systems. Approximate # Of Weeks: 4 of 30 weeks Essential Questions: A. How is the acceleration of the center of mass of a system related to the net force exerted on the system, where a = Σ F / m ? AP Physics 1 Curriculum – Summer 2014 – page 19 of 33 B. C. D. How can interactions with other objects or systems change the total linear momentum of a system? How can interactions with other objects or systems change the total energy of a system? How does a net torque exerted on a system by other objects or systems change the angular momentum of the system? Upon completion of this unit students will be able to: A-1. use representations of the center of mass of an isolated two-object system to analyze the motions of the system qualitatively and semi-quantitatively. NGSS: PS2.A A-2. make predictions about the motion of a system based on the fact that acceleration is equal to the change in velocity per unit time, and velocity is equal to the change in position per unit time. NJCCC: 5.2.12.E.1 A-3. evaluate using given data whether all the forces on a system or whether all parts of a system have been identified. NGSS: PS2.A A-4. create mathematical models and analyze graphical relationships for acceleration, velocity, and position of the center of mass of a system and use them to calculate properties of the motion of the center of mass of a system. NGSS: PS2.A; NJCCC: 5.2.12.E.1 A-5. apply Newton’s second law to systems to calculate the change in the center-of-mass velocity when an external force is exerted on the system. NGSS: PS2.A A-6. use visual and mathematical representations of the forces between objects in a system to predict whether or not there will be a change in the center-of-mass velocity of that system. NGSS: PS2.A B-1. calculate the change in linear momentum of a two-object system with constant mass in linear motion from a representation of the system (data, graphs, etc.) NGSS: PS2.A B-2. analyze data to find the change in linear momentum for a constant-mass system using the product of the mass and change in velocity of the center of mass. NGSS: PS2.A B-3. apply mathematical routines to calculate the change in momentum of a system by analyzing the average force exerted over a certain time on the system. NGSS: PS2.A B-4. perform analysis on data presented as a force-time graph and predict the change in momentum of a system. NGSS: PS2.A C-1. calculate the total energy of a system and justify the mathematical routines used in the calculation of component types of energy within the system whose sum is the total energy. NCSS: PS3.A C-2. predict changes in the total energy of a system due to changes in position and speed of objects or frictional interactions within the system. NCSS: PS3.A; NJCCC: 5.2.12.E.1 C-3. make predictions about the changes in the mechanical energy of a system when a component of an external force acts parallel or anti-parallel to the direction of the displacement of the center of mass. NGSS: PS2.A, PS3.A AP Physics 1 Curriculum – Summer 2014 – page 20 of 33 C-4. D-1. D-2. D-3. D-4. D-5. D-6. apply the concepts of conservation of energy and the work-energy theorem to determine qualitatively and/or quantitatively that work done on a two-object system in linear motion will change the kinetic energy of the center of mass of the system, the potential energy of the system, and/or the internal energy of the system. NGSS: PS2.A, PS3.A, PS3.B describe a representation and use it to analyze a situation in which several forces exerted on a rotating system of rigidly connected objects change the angular velocity and angular momentum of the system. NGSS: PS2.A plan data collection strategies designed to establish that torque, angular velocity, angular acceleration, and angular momentum can be predicted accurately when the variables are treated as being clockwise or counterclockwise with respect to a well-defined axis of rotation, and refine the research question based on the examination of data. NCSS: PS2.A; NJCCC: 5.1.12.B.1, 5.1.12.B.2, 5.1.12.B.3, 5.1.12.B.4 describe a model of a rotational system and use that model to analyze a situation in which angular momentum changes due to interaction with other objects or systems. NCSS: PS2.A; NJCCC: 5.2.12.E.2 plan a data collection and analysis strategy to determine the change in angular momentum of a system and relate it to interactions with other objects and systems. NCSS: PS2.A use appropriate mathematical routines to calculate values for initial or final angular momentum, or change in angular momentum of a system, or average torque or time during which the torque is exerted in analyzing a situation involving torque and angular momentum. NCSS: PS2.A plan a data collection strategy designed to test the relationship between the change in angular momentum of a system and the product of the average torque applied to the system and the time interval during which the torque is exerted. NCSS: PS2.A; NJCCC: 5.1.12.B.1, 5.1.12.B.2, 5.1.12.B.3, 5.1.12.B.4 Common Core Standards: CCSS.ELA.RST.1, 2, 3, 4, 5, 6, 7, 9, 10 (text evidence, experimental analysis) CCSS.ELA.WHST. 1, 2, 4, 5, 6, 7, 9 (analysis of data and writing of lab reports) CCSS.MATH.CONTENT.HSN.Q.A.1, 2, 3 (measurement, units, multi-step problems) CCSS.MATH.CONTENT.HSA.SSE. A.1, 1.a, 1.b (math expressions) CCSS.MATH.CONTENT.HSA.CED.A.1, 2, 3, 4 (equations and relationships) CCSS.MATH.CONTENT.HSA.REI.A.1, 2 (reasoning with equations; radicals) CCSS.MATH.CONTENT.HSA.REI.B.3, 4.b (linear & quadratic equations) CCSS.MATH.CONTENT.HSA.REI.C.5, 6 (systems of linear equations) CCSS.MATH.CONTENT.HSF.IF.B.4, 6 (graphing & rate of change of variables) CCSS.MATH.CONTENT.HSF.IF.C.7, 7.a (linear and exponential graph analysis) CCSS.MATH.CONTENT.HSF.LE.A.1,1.a,1.b,1.c (linear and exponential graphs) CCSS.MATH.CONTENT.HSG.SRT.C.6 (sine, cosine, tangent of a right triangle) CCSS.MATH.CONTENT.HSG.SRT.C.8 (trig ratios and Pythagorean theorem) CCSS.MATH.CONTENT.HSS.ID.A.2, 3 (statistical analysis of data) CCSS.MATH.CONTENT.HSS.ID.B.6, 6.a, 6.c (statistical analysis of two variable data) AP Physics 1 Curriculum – Summer 2014 – page 21 of 33 CCSS.MATH.CONTENT.HSS.ID.C.7, 8 (data and linear regression; slope and y-intercept) Interdisciplinary Standards (njcccs.org) Standard 9.1 – 21st-Century Life & Career Skills Standard 9.3 – Career Awareness, Exploration, and Preparation Standard 8.1 – Computer and Information Literacy Standard 8.2 – Technology Education Standard 6.3 – Active Citizenship in the 21st Century Activities – include 21st Century Technologies: Using the Starboard presentation system, student will participate in Physics demonstrations with qualitative and/or quantitative discussions NJCCC: 5.1.12.D.1 take PowerPoint class notes use “smart” phones as stopwatches, protractors, and for information searches. Students will, from time to time, use their graphing calculators to analyze data. Participation in either “guided-inquiry” or “open-inquiry” mini-laboratory exercises and/or “in-depth” laboratory investigations: Determining the Center of Mass of an Object Newton’s Second Law: Acceleration and Force (Mass Constant) Newton’s Second Law: Acceleration and Mass (Net Force Constant) Analyzing the Motion of a Hockey Puck Atwood’s Machine: Acceleration of Two Masses and Tension Enrichment Activities: Research the mechanical advantage of a pulley, write a short summary, and prepare a short PowerPoint presentation of your findings. Research the design and operation of an elevator, write a short summary, and prepare a short PowerPoint presentation of your findings. Research the motion of binary stars and other celestial bodies, write a short summary, and prepare a short PowerPoint presentation of your findings. Methods of Assessments/Evaluation: “Think - Pair- Share” activities Revisit “Essential Questions” “Thumb Up-Down-Horizontal” assessment of concept understanding Exit slips (written or oral) AP Physics 1 Curriculum – Summer 2014 – page 22 of 33 Computer-generated “Individualized Problem Sets” (IPSs) “Homework” quizzes Announced and unannounced class quizzes Major topic or unit tests Written laboratory reports and lab results discussion NJCCC: 5.1.12.D.1, 5.1.12.D.2 Information searches (library and internet research) Midterm Examination Final Examination Resources/Including Online Resources Current course textbook: Giancoli, D.C. Physics: Principles with Applications (6th edition). Pearson Education Inc, Upper Saddle River, NJ. 2009. (0-13-707302-6) Online student resource for the textbook: http://wps.prenhall.com/esm_giancoli_physicsppa_6/16/4350/1113739.cw/in dex.html M Dancho’s Physics Webpage: http://glenridge.org/Domain/193 “The Mechanical Universe” Physics video set (classroom use but can also be found on-line) Youtube.com for Physics demonstrations, lectures, concept review (especially through the Massachusetts Institute of Technology (MIT) ) http://www.physicsclassroom.com/ for review of basic Physics concepts. http://www.hippocampus.org/ presents an overview of Physics topics. http://phet.colorado.edu is a good source of Physics “virtual” experiments and learning applets. AP Physics 1 Topic/Unit: BIG IDEA 5: Changes that occur as a result of interactions are constrained by conservation laws. Approximate # Of Weeks: 7 of 30 weeks AP Physics 1 Curriculum – Summer 2014 – page 23 of 33 Essential Questions: A. Are certain quantities conserved in the sense that changes of those quantities in a given system are always equal to the transfer of that quantity to or from the system by all possible interactions with other systems? B. Is the energy of a system conserved? C. Is the electric charge of a system conserved? D. Is the linear momentum of a system conserved? E. Is the angular momentum of a system conserved? Upon completion of this unit students will be able to: A-1. define open and closed/isolated systems for everyday situations and apply conservation concepts for energy, charge, and linear momentum of those situations. NGSS: PS1.A, PS2.A, PS3.A, PS3.B B-1. set up a representation or model showing that a single object can only have kinetic energy and use information about that object to calculate its kinetic energy. NCSS: PS3.A B-2. translate between a representation of a single object, which can only have kinetic energy, and a system that includes the object, which may have both kinetic and potential energies. NCSS: PS3.A B-3. calculate the expected behavior of a system using the object model (i.e., by ignoring changes in internal structure) to analyze a situation. Then, when the model fails, the student can justify the use of conservation of energy principles to calculate the change in internal energy due to changes in internal structure because the object is actually a system. NCSS: PS3.A, PS3.B B-4. describe and make qualitative and/or quantitative predictions about everyday examples of systems with internal potential energy. NCSS: PS3.A B-5. make quantitative calculations of the internal potential energy of a system from a description or diagram of that system. NCSS: PS3.A B-6. apply mathematical reasoning to create a description of the internal potential energy of a system from a description or diagram of the objects and interactions in that system. NCSS: PS3.A B-7. describe and make predictions about the internal energy of a system. NCSS: PS3.A, PS3.B B-8. calculate changes in kinetic energy and potential energy of a system using information from representations of that system. NCSS: PS3.A B-9. design an experiment and analyze data to examine how a force exerted on an object or system does work on the object or system as it moves through a distance. NGSS: PS2.A; NJCCC: 5.1.12.B.1, 5.1.12.B.2, 5.1.12.B.3, 5.1.12.B.4 B-10. design an experiment and analyze graphical data in which interpretations of the area under a force-distance curve are needed to determine the work AP Physics 1 Curriculum – Summer 2014 – page 24 of 33 B-11. B-12. B-13. B-14. B-15. B-16. C-1. C-2. C-3. D-1. D-2. done on or by the object or system. NGSS: PS2.A; NJCCC: 5.1.12.B.1, 5.1.12.B.2, 5.1.12.B.3, 5.1.12.B.4 predict and calculate from graphical data the energy transfer to or work done on an object or system from information about a force exerted on the object or system through distance. NGSS: PS2.A, PS3.A make claims about the interaction between a system and its environment in which the environment exerts a force on the system, thus doing work on the system and changing the energy of the system (kinetic energy plus potential energy). NGSS: PS2.A, PS3.A predict and calculate the energy transfer to (i.e., the work done on) an object or system from information about a force exerted on the object or system through a distance. NGSS: PS2.A, PS3.A construct or interpret a graph of the energy changes within an electrical circuit with only a single battery and resistors in series and/or in, at most, one parallel branch as an application of the conservation of energy (Kirchhoff’s loop rule). NCSS: PS3.A, PS3.B apply conservation of energy concepts to the design of an experiment that will demonstrate the validity of Kirchhoff’s loop rule ( Σ ΔV = 0) in a circuit with only a battery and resistors either in series or in, at most, one pair of parallel branches. NCSS: PS3.A, PS3.B; NJCCC: 5.1.12.B.1, 5.1.12.B.2, 5.1.12.B.3, 5.1.12.B.4 apply conservation of energy (Kirchhoff’s loop rule) in calculations involving the total electric potential difference for complete circuit loops with only a single battery and resistors in series and/or in, at most one parallel branch. NCSS: PS3.A, PS3.B apply conservation of electric charge (Kirchhoff’s junction rule) to the comparison of electric current in various segments of an electrical circuit with a single battery and resistors in series and in, at most, one parallel branch and predict how those values would change if configurations of the circuit are changed. NGSS: PS1.A, PS3.B design an investigation of an electrical circuit with one or more resistors in which evidence of conservation of electric charge can be collected and analyzed. NGSS: PS1.A, PS3.B; NJCCC: 5.1.12.B.1, 5.1.12.B.2, 5.1.12.B.3, 5.1.12.B.4 use a description or schematic diagram of an electrical circuit to calculate unknown values of current in various segments or branches of the circuit. NCSS: PS3.B make qualitative predictions about natural phenomena based on conservation of linear momentum and restoration of kinetic energy in elastic collisions. NCSS: PS2.A, PS3.A, PS3.B; NJCCC: 5.2.12.D.4 apply the principles of conservation of momentum and restoration of kinetic energy to reconcile a situation that appears to be isolated and elastic, but in which data indicate that linear momentum and kinetic energy are NOT the same after the interaction, by refining a scientific question to identify interactions that have NOT been considered. Students will be AP Physics 1 Curriculum – Summer 2014 – page 25 of 33 expected to solve qualitatively and/or quantitatively for one-dimensional situations and only qualitatively in two-dimensional situations. NCSS: PS2.A, PS3.A, PS3.B D-3. apply mathematical routines appropriately to problems involving elastic collisions in one dimension and justify the selection of those mathematical routines based on conservation of momentum and restoration of kinetic energy. NCSS: PS2.A, NCSS: PS3.A, PS3.B; NJCCC: 5.2.12.D.4 D-4. design an experimental test of an application of the principle of the conservation of linear momentum, predict an outcome of the experiment using the principle, analyze data generated by that experiment whose uncertainties are expressed numerically, and evaluate the match between the prediction and the outcome. NCSS: PS2.A, PS3.B; NJCCC: 5.1.12.B.1, 5.1.12.B.2, 5.1.12.B.3, 5.1.12.B.4 D-5. classify a given collision situation as elastic or inelastic, justify the selection of conservation of linear momentum and restoration of kinetic energy as the appropriate principles for analyzing an elastic collision, solving for missing variables, and calculate their values. NCSS: PS2.A, PS3.A, PS3.B; NJCCC: 5.2.12.D.4 D-6. qualitatively predict, in terms of linear momentum and kinetic energy, how the outcome of a collision between two objects changes depending on whether the collision is elastic or inelastic. NCSS: PS2.A, PS3.A; NJCCC: 5.2.12.D.4 D-7. plan data collection strategies to test the law of conservation of momentum in a two-object collision that is elastic or inelastic and analyze the resulting data graphically. NCSS: PS2.A, PS3.B; NJCCC: 5.2.12.D.4 D-8. apply the conservation of linear momentum to a closed system of objects involved in an elastic collision to predict the change in kinetic energy. NCSS: PS2.A, PS3.A, PS3.B; NJCCC: 5.2.12.D.4 D-9. analyze data that verify conservation of momentum in collision with and without an external friction force. NGSS: PS2.A, PS3.B; NJCCC: 5.2.12.D.4 D-10. classify a give collision situation as elastic or inelastic, justify the selection of conservation of linear momentum as the appropriate solution method for an elastic collision, recognize that there is a common final velocity for the colliding object in the totally inelastic case, solve for missing variables, and calculate their variable. NCSS: PS2.A, PS3.B; NJCCC: 5.2.12.D.4 D-11. predict the velocity of the center of mass of a system when there is no interaction outside of the system but there is an interaction within the system (i.e., the student simply recognizes that interactions within a system do not affect the center of mass motion of the system and is able to determine that there is no external force). NGSS: PS2.A E-1. make qualitative prediction about the angular momentum of a system for a situation in which there is no net external torque. NCSS: PS2.A E-2. make calculations of quantities related to the angular momentum of a system when the net external torque on the system is zero. NCSS: PS2.A AP Physics 1 Curriculum – Summer 2014 – page 26 of 33 E-3. describe or calculate the angular momentum and rotational inertia of a system in terms of the locations and velocities of objects that make up the system. Students are expected to do qualitative reasoning with compound objects. Students are expected to do calculations with a fixed set of extended objects and point masses. NGSS: PS2.A; NJCCC: 5.2.12.E.2 Common Core Standards: CCSS.ELA.RST.1, 2, 3, 4, 5, 6, 7, 9, 10 (text evidence, experimental analysis) CCSS.ELA.WHST. 1, 2, 4, 5, 6, 7, 9 (analysis of data and writing of lab reports) CCSS.MATH.CONTENT.HSN.Q.A.1, 2, 3 (measurement, units, multi-step problems) CCSS.MATH.CONTENT.HSA.SSE. A.1, 1.a, 1.b (math expressions) CCSS.MATH.CONTENT.HSA.CED.A.1, 2, 3, 4 (equations and relationships) CCSS.MATH.CONTENT.HSA.REI.A.1, 2 (reasoning with equations; radicals) CCSS.MATH.CONTENT.HSA.REI.B.3, 4.b (linear & quadratic equations) CCSS.MATH.CONTENT.HSA.REI.C.5, 6 (systems of linear equations) CCSS.MATH.CONTENT.HSF.IF.B.4, 6 (graphing & rate of change of variables) CCSS.MATH.CONTENT.HSF.IF.C.7, 7.a (linear and exponential graph analysis) CCSS.MATH.CONTENT.HSF.LE.A.1,1.a,1.b,1.c (linear and exponential graphs) CCSS.MATH.CONTENT.HSG.C.A.2 (circle relationships) CCSS.MATH.CONTENT.HSG.C.A.4 (tangent to a circle) CCSS.MATH.CONTENT.HSG.C.B.5 (circle radius and radian measure) CCSS.MATH.CONTENT.HSG.SRT.C.6 (sine, cosine, tangent of a right triangle) CCSS.MATH.CONTENT.HSG.SRT.C.8 (trig ratios and Pythagorean theorem) CCSS.MATH.CONTENT.HSS.ID.A.2, 3 (statistical analysis of data) CCSS.MATH.CONTENT.HSS.ID.B.6, 6.a, 6.c (statistical analysis of two variable data) CCSS.MATH.CONTENT.HSS.ID.C.7, 8 (data and linear regression; slope and y-intercept) Interdisciplinary Standards (njcccs.org) Standard 9.1 – 21st-Century Life & Career Skills Standard 9.3 – Career Awareness, Exploration, and Preparation Standard 8.1 – Computer and Information Literacy Standard 8.2 – Technology Education Standard 6.3 – Active Citizenship in the 21st Century Activities – include 21st Century Technologies: Using the Starboard presentation system, student will participate in Physics demonstrations with qualitative and/or quantitative discussions NJCCC: 5.1.12.D.1 take PowerPoint class notes use “smart” phones as stopwatches, protractors, and for information searches. Students will, from time to time, use their graphing calculators to analyze data. AP Physics 1 Curriculum – Summer 2014 – page 27 of 33 Participation in either “guided-inquiry” or “open-inquiry” mini-laboratory exercises and/or “in-depth” laboratory investigations: Conservation of Mechanical Energy Conservation of Energy Conservation of Linear Momentum: Two-Object Collision Conservation of Linear Momentum: Two-Object “Explosion” The Disk and Ring Race Rotational Inertia: “Point Masses” and Rigid Bodies Conservation of Angular Momentum Earth-Satellites and Conservation of Angular Momentum Circuit Characteristics of Resistors Connected in a Series Circuit Characteristics of Resistors Connected in a Parallel Circuit Characteristics of Resistors Connected in a Series-Parallel Behavior of Light Bulbs Connected in Series-Parallel Circuits Enrichment Activities: Research the historical and experimental development of the concept of energy, write a short summary, and prepare a short PowerPoint presentation of your findings. Research rotational inertia and its application in sports, write a short summary, and prepare a short PowerPoint presentation of your findings. Research the physics of a neutron star collapse, write a short summary, and prepare a short PowerPoint presentation of your findings. Research physics and the design and operation of various types of light bulbs, write a short summary, and prepare a short PowerPoint presentation of your findings. Methods of Assessments/Evaluation: “Think - Pair- Share” activities Revisit “Essential Questions” “Thumb Up-Down-Horizontal” assessment of concept understanding Exit slips (written or oral) Computer-generated “Individualized Problem Sets” (IPSs) “Homework” quizzes Announced and unannounced class quizzes Major topic or unit tests Written laboratory reports and lab results discussion NJCCC: 5.1.12.D.1, 5.1.12.D.2 Information searches (library and internet research) Midterm Examination Final Examination Resources/Including Online Resources AP Physics 1 Curriculum – Summer 2014 – page 28 of 33 Current course textbook: Giancoli, D.C. Physics: Principles with Applications (6th edition). Pearson Education Inc, Upper Saddle River, NJ. 2009. (0-13-707302-6) Online student resource for the textbook: http://wps.prenhall.com/esm_giancoli_physicsppa_6/16/4350/1113739.cw/in dex.html M Dancho’s Physics Webpage: http://glenridge.org/Domain/193 “The Mechanical Universe” Physics video set (classroom use but can also be found on-line) Youtube.com for Physics demonstrations, lectures, concept review (especially through the Massachusetts Institute of Technology (MIT) ) http://www.physicsclassroom.com/ for review of basic Physics concepts. http://www.hippocampus.org/ presents an overview of Physics topics. http://phet.colorado.edu is a good source of Physics “virtual” experiments and learning applets. AP Physics 1 Topic/Unit: BIG IDEA 6: Waves can transfer energy and momentum from one location to another without the permanent transfer of mass and serve as a mathematical model for the description of other phenomena. Approximate # Of Weeks: 5 of 30 weeks Essential Questions: A. Is a wave a traveling disturbance that transfers energy and momentum? B. Is a periodic wave a wave that repeats as a function of both time and position and can be described by its amplitude, frequency, wavelength, speed, and energy? C. (This item is not included in the AP Physics 1 course published by The College Board.) D. How does interference and superposition of waves lead to standing waves and beats? Upon completion of this unit students will be able to: A-1. use a visual representation to construct an explanation of the distinction between transverse and longitudinal waves by focusing on the vibration that generates the wave. NCSS: PS4.A AP Physics 1 Curriculum – Summer 2014 – page 29 of 33 A-2. A-3. A-4. A-5. B-1. B-2. B-3. B-4. D-1. D-2. D-3. D-4. D-5. D-6. D-7. describe representations of transverse and longitudinal waves. NCSS: PS4.A describe sound in terms of transfer of energy and momentum in a medium and relate the concepts to everyday examples. NCSS: PS2.A, PS3.A use a graphical representation of a periodic mechanical wave to determine the amplitude of the wave. NCSS: PS4.A explain and/or predict qualitatively how the energy carried by a sound wave relates the amplitude of the wave, and/or apply this concept to a real world example. NCSS: PS3.A, PS4.A use a graphical representation of a periodic mechanical wave (position vs. time) to determine the period and frequency of the wave and describe how a change in the frequency would modify features of the representation. NCSS: PS4.A use a visual representation of a periodic mechanical wave to determine wavelength of the wave. NCSS: PS4.A design an experiment to determine the relationship between periodic wave speed, wavelength, and frequency and relate these concepts to everyday examples. NCSS: PS4.A; NJCCC: 5.1.12.B.1, 5.1.12.B.2, 5.1.12.B.3, 5.1.12.B.4 create or use a wave front diagram to demonstrate or interpret qualitatively the observed frequency of a wave, dependent upon the relative motion of source and observer. NCSS: PS4.A use representations of individual pulses and construct representations to model the interaction of two wave pulses to analyze the superposition of two pulses. NCSS: PS4.A design a suitable experiment and analyze data illustrating the superposition of mechanical waves (only for wave pulses or standing waves). NCSS: PS4.A; NJCCC: 5.1.12.B.1, 5.1.12.B.2, 5.1.12.B.3, 5.1.12.B.4 design a plan for collecting data to quantify the amplitude variations when two or more traveling waves or wave pulses interact in a given medium. NCSS: PS4.A; NJCCC: 5.1.12.B.1, 5.1.12.B.2, 5.1.12.B.3, 5.1.12.B.4 analyze data or observations or evaluate evidence of the interaction of two or more traveling waves in one or two dimensions (i.e., circular wave fronts) to evaluate the variations in resultant amplitudes. NCSS: PS4.A refine a scientific question related to standing waves and design a detailed plan for the experiment that can be conducted to examine the phenomenon qualitatively or quantitatively. NCSS: PS4.A; NJCCC: 5.1.12.B.1, 5.1.12.B.2, 5.1.12.B.3, 5.1.12.B.4 predict properties of standing waves that result from addition of incident and reflected waves that are confined to a region and have nodes and antinodes. NCSS: PS4.A plan data collection strategies, predict the outcome based on the relationship under test, perform data analysis, evaluate evidence compared to the prediction, explain any discrepancy and, if necessary, AP Physics 1 Curriculum – Summer 2014 – page 30 of 33 revise the relationship among variables responsible for establishing standing waves on a string or in a column of air. D-8. describe representations and models of situations in which a standing wave is result from the addition of incidence and reflected waves confined to a region. NCSS: PS4.A D-9. challenge with evidence the claim that the wavelengths of standing waves are determined by the frequency of the source regardless of the size of the region. NCSS: PS4.A D-10. calculate wavelengths and frequencies (if given wave speed) of standing waves based on boundary conditions and length of region in which the wave is confined, and calculate numerical values of wavelengths and frequencies. Examples should include musical instruments. NCSS: PS4.A D-11. use a visual representation to explain how waves of slightly different frequency give rise to the phenomenon of beats. NCSS: PS4.A Common Core Standards: CCSS.ELA.RST.1, 2, 3, 4, 5, 6, 7, 9, 10 (text evidence, experimental analysis) CCSS.ELA.WHST. 1, 2, 4, 5, 6, 7, 9 (analysis of data and writing of lab reports) CCSS.MATH.CONTENT.HSN.Q.A.1, 2, 3 (measurement, units, multi-step problems) CCSS.MATH.CONTENT.HSA.SSE. A.1, 1.a, 1.b (math expressions) CCSS.MATH.CONTENT.HSA.CED.A.1, 2, 3, 4 (equations and relationships) CCSS.MATH.CONTENT.HSF.IF.B.4, 6 (graphing & rate of change of variables) CCSS.MATH.CONTENT.HSF.IF.C.7, 7.a (linear and exponential graph analysis) CCSS.MATH.CONTENT.HSF.LE.A.1,1.a,1.b,1.c (linear and exponential graphs) CCSS.MATH.CONTENT.HSS.ID.A.2, 3 (statistical analysis of data) CCSS.MATH.CONTENT.HSS.ID.B.6, 6.a, 6.c (statistical analysis of two variable data) CCSS.MATH.CONTENT.HSS.ID.C.7, 8 (data and linear regression; slope and y-intercept) Interdisciplinary Standards (njcccs.org) Standard 9.1 – 21st-Century Life & Career Skills Standard 9.3 – Career Awareness, Exploration, and Preparation Standard 8.1 – Computer and Information Literacy Standard 8.2 – Technology Education Standard 6.3 – Active Citizenship in the 21st Century Activities – include 21st Century Technologies: Using the Starboard presentation system, student will participate in Physics demonstrations with qualitative and/or quantitative discussions NJCCC: 5.1.12.D.1 take PowerPoint class notes use “smart” phones as stopwatches, protractors, and for information searches. Students will, from time to time, use their graphing calculators to analyze data. AP Physics 1 Curriculum – Summer 2014 – page 31 of 33 Participation in either “guided-inquiry” or “open-inquiry” mini-laboratory exercises and/or “in-depth” laboratory investigations: Behavior of Periodic Waves on Coiled Springs Standing Waves on a String Standing Waves Produced by Sound in Open Tubes Standing Waves Produced by Sound in Closed Tubes Speed of Sound in Air Using a Closed Resonance Tube Enrichment Activities: Research the physics involved in earthquake prediction and behavior, write a short summary, and prepare a short PowerPoint presentation of your findings. Research the physics of string and wind musical instruments, write a short summary, and prepare a short PowerPoint presentation of your findings. Research the physics of the Doppler effect in weather forecasting, write a short summary, and prepare a short PowerPoint presentation of your findings. Research the physics of sound recording, storage, and reproduction, write a short summary, and prepare a short PowerPoint presentation of your findings. Methods of Assessments/Evaluation: “Think - Pair- Share” activities Revisit “Essential Questions” “Thumb Up-Down-Horizontal” assessment of concept understanding Exit slips (written or oral) Computer-generated “Individualized Problem Sets” (IPSs) “Homework” quizzes Announced and unannounced class quizzes Major topic or unit tests Written laboratory reports and lab results discussion NJCCC: 5.1.12.D.1, 5.1.12.D.2 Information searches (library and internet research) Midterm Examination Final Examination Resources/Including Online Resources Current course textbook: Giancoli, D.C. Physics: Principles with Applications (6th edition). Pearson Education Inc, Upper Saddle River, NJ. 2009. (0-13-707302-6) AP Physics 1 Curriculum – Summer 2014 – page 32 of 33 Online student resource for the textbook: http://wps.prenhall.com/esm_giancoli_physicsppa_6/16/4350/1113739.cw/in dex.html M Dancho’s Physics Webpage: http://glenridge.org/Domain/193 “The Mechanical Universe” Physics video set (classroom use but can also be found on-line) Youtube.com for Physics demonstrations, lectures, concept review (especially through the Massachusetts Institute of Technology (MIT) ) http://www.physicsclassroom.com/ for review of basic Physics concepts. http://www.hippocampus.org/ presents an overview of Physics topics. http://phet.colorado.edu is a good source of Physics “virtual” experiments and learning applets. AP Physics 1 Curriculum – Summer 2014 – page 33 of 33