HS AP Physics 1 Science

Transcription

1 Scope And Sequence Timeframe Unit Instructional Topics 5 Day(s) 20 Day(s) 5 Day(s) Kinematics Course AP Physics 1 is an introductory first-year, algebra-based, college level course for the student interested in medicine or engineering. Topics of study include: Linear & Rotational motion, Momentum & Energy Conservation, Oscillations, Sound, and basic Electrical Circuits. 4 Day(s) 8 Day(s) 6 Day(s) 12 Day(s) 5 Day(s) 5 Day(s) 10 Day(s) Ongoing Objects and systems have properties such as mass and charge. Systems may have internal structure. Fields existing in space can be used to explain interactions. The interactions of an object with other objects can be described by forces. Interactions between systems can result in changes in those systems. Changes that occur as a result of interactions are constrained by conservation laws. 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. The mathematics of probability can be used to describe the behavior of complex systems and to interpret the behavior of quantum mechanical systems. Board Approval Date Board Approved 6/26/2014 Unit: Kinematics Dynamics: Newton's Laws Circular Motion And Universal Law Of Gravitation Simple Harmonic Motion: Simple Pendulum And Mass-Spring Systems Impulse, Linear Momentum, And Conservation Of Linear Momentum:Collisions Work, Energy, And Conservation Of Energy Rotational Motion: Torque, Rotational Kinematics And Energy, Rotational Dynamics, And Conservation Of Angular Momentum Electrostatics: Electric Charge And Electric Force DC Circuits: Resistors Only Mechanical Wave And Sound English Language Arts within and Technology Content Course Details 1. of motion 1. Inertia 2. The gravitational field 3. Forces 1. Circular Motion and Gravity 1. Oscillation 1. Impulse and Momentum 1. Work & Energy 1. Torque and rotational dynamics 1. Electric Charge & Force 1. DC Circuits 1. Mechanical Waves 1. English Language Arts within and Technology Content Kinematics is the description of uniform and accelerated motion in narrative, mathematical and graphical form An observer in a particular frame of reference can describe the motion of an object using such quantities as position, displacement, distance, velocity, speed and acceleration. 1. How can uniform and accelerated linear motion be described and analyzed? 2. How can an experimental situation be designed to investigate the motion of an object? 3. How can experimental data be analyzed to express the results of a motion experiment? Topic: of motion The student will analyze experimental data describing the motion of an object and is able to express the results of the analysis using narrative, mathematical, and graphical representations. The student will design an experimental investigation of the motion of an object. The student will express the motion of an object using narrative, mathematical, and graphical representations. Page 1

2 The student will 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. The student will 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. The student will use representations of the center of mass of an isolated two-object system to analyze the motion of the system qualitatively and semiquantitatively. Unit: Dynamics: Newton's Laws The interactions of an object with other objects can be described by forces. Duration: 20 Day(s) Objects and systems have properties of inertial mass and gravitational mass that are experimentally verified to be the same and that satisfy conservation principles. A gravitational field is caused by an object with mass All forces share certain common characteristics when considered by observers in inertial reference frames. Classically, the acceleration of an object interacting with other objects can be predicted by using a=f/m. At the macroscopic level, forces can be categorized as either long-range (action at a distance) forces or contact forces. The acceleration of the center of mass of a system is related to the net force on the system, where a=f/m. 1. What is force and how does it cause a change in motion? 2. How can Newton's laws be utilized to describe an objects' motion? 3. Why do objects sometimes change their velocity and sometimes not change when interacting with forces? 4. How are contact forces similar and different from field forces. Topic: Inertia Duration: 1 Day(s) Inertial mass is a property of an object or system. The student will design a plan for collecting data to measure gravitational mass and to measure inertial mass and to distinguish between the two experiments. The student will design and experiment for collecting data to determine the relationship between the net force exerted on an object, its inertial mass, and its acceleration. Topic: Duration: 2 Day(s) The gravitational field The effect of the gravitational field on an object of mass m is a force, mg. The student will apply F = mg 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 net force on objects and systems. Topic: Forces All forces share common characteristics. It is the net force that caused acceleration. Forces can be categorized as either field or contact. The student will analyze a scenario and make claims (develop argument, justify assertions) about the forces exerted on an object by other objects for different types of forces or components of forces. The student will apply F = mg 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 net force on objects and systems. The student will apply g = G M / r2 to calculate the gravitational field due to an object with Mass M, where the field is a vector directed toward the center of the object of mass M. The student will challenge a claim that an object can exert a force on itself. The student will create and use free-body diagrams to analyze physical situations to solve problems with motion qualitatively and quantitatively. Page 2

3 The student will represent forces in diagrams or mathematically using appropriately labeled vectors with magnitude, direction, and units during the analysis of a situation. The student will connect the strength of the gravitational force between two objects to the spatial scale of the situation and the masses of the objects involved and compare that strength to other types of forces. The student will design a plan to collect and analyze data for motion (static, constant, or accelerating) from force measurements and carry out an analysis to determine the relationship between the net force and the vector sum of the individual forces. The student will explain contact forces (tension, friction, normal, buoyant, spring) as arising from interatomic electric forces and that they therefore have certain directions. The student will make claims about various contact forces between objects based on the microscopic cause of those forces. The student will 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 situations with acceleration in on dimension. The student will use visual or 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. Unit: Circular Motion And Universal Law Of Gravitation Interactions between systems can result in changes in these systems. Observers in different frames of reference observe the same motion in different ways. Objects and systems have properties of inertial mass and gravitational mass that are experimentally verified to be the same and that satisfy conservation principles. A gravitational field is caused by an object with mass. Certain types of forces are considered fundamental. Classically, the acceleration of an object interacting with other objects can be predicted by using a=f/m. How were internal and gravitational mass verified as the same? How do forces acting centripetally effect the motion of an object? How is a field force calculated? Topic: Circular Motion and Gravity Objects move in uniform and accelerated circular motion. Gravity is needed for Orbital motion The student will design a plan to collect and analyze data for motion (static, constant, or accelerating) from force measurements and carry out an analysis to determine the relationship between the net force and the vector sum of the individual forces. The student will design an experimental investigation of the motion of an object. The student will engage in scientific questioning to extend thinking or to guide investigations within the context of the AP course. The student will express the motion of an object using narrative, mathematical, and graphical representations. The student will 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. The student will use Newton's law of gravitation to calculate the gravitational force between two objects and use that force in contexts involving orbital motion (for circular orbital motion only in Physics 1). The student will 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. The student will apply F = mg 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 net force on objects and systems. The student will apply g = G M / r2 to calculate the gravitational field due to an object with Mass M, where the field is a vector directed toward the center of the object of mass M. The student will articulate situations when the gravitational force is the dominant force and when the electromagnetic, weak, and strong forces can be ignored. Unit: Simple Harmonic Motion: Simple Pendulum And Mass-Spring Systems Duration: 4 Day(s) Page 3

4 Restoring forces cause oscillatory motion. The acceleration of a system can be predicted with a=f/m. Restoring forces cause oscillatory motion. How can the variables of force, displacement, acceleration, velocity, period of motion, frequency, spring constant, string length, and mass, associated with objects in oscillatory motion, be used to obtain data to determine the value of an unknown? Why does a spring oscillate when displaced? How are the period of a spring mass system different than a pendulum system? Topic: Oscillation Duration: 4 Day(s) Pendulums versus Mass and Spring systems The student will analyze data to identify qualitative or quantitative relationships between given values and variables (ie, 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. The student will construct a qualitative and/or a quantitative explanation of oscillatory behavior given evidence of a restoring force. The student will design a plan and collect data in order to ascertain the characteristics of the motion of a system undergoing oscillatory motion caused by restoring force. The student will predict which properties determine the motion of a simple harmonic oscillator and what the dependence of the motion is on those properties. The student will 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. Unit: Impulse, Linear Momentum, And Conservation Of Linear Momentum:Collisions Duration: 8 Day(s) Certain quantities are conserved, in the sense that the changes of those quantities in a given system are always equal to the transfer of the quantity to or from the system by all possible interactions with other systems, especially linear momentum. A force exerted on an object can change the momentum of the object. Interactions with other objects or systems can change the total linear momentum of a system. Certain quantities are conserved, the sense that the changes of those quanities 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. The linear momentum of a system is conserved. How can collisions be classified as either elastic or inelastic? Why do some collisions conserve both linear momentum and kinetic energy and some only conserve momentum? How does impulse change momentum? Topic: Impulse and Momentum Duration: 3 Day(s) Certain quantities are conserved, especially linear momentum. An Impulse is the agent of change of momentum. The student will 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. The student will analyze data to find the change in linear momentum for a constant-mass system using the product of the mass and the change in velocity of the center of mass. The student will apply mathematical routines appropriately to problems involving elastic collisions in one dimension and justify the selection of those mathematical routine based on conversation of momentum and restoration of kinetic energy. The student will 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. The student will 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 expected to solve qualitatively and/or quantitatively for one-dimensional situations and only qualitatively in two-dimensional situations. Page 4

5 The student will calculate the change in linear momentum of a two-object system with constant mass in linear motion from a representation of that system. The student will 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, solve for missing variables, and calculate their values. The student will define open and closed/isolated systems for everyday situations and apply conservation concepts for energy, charge, and linear momentum to those situations. The student will describe sound in terms of transfer of energy and momentum in a medium and relate the concepts to everyday examples. The student will design a plan for collecting data to investigate the relationship between changes in momentum and the average force exerted on an object over time. The student will design an experimental test of an application of the principle of the conservation of linear momentum, predict 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. The student will 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. The student will make qualitative predictions about natural phenomena based on conservation of linear momentum and restoration of kinetic energy in elastic collisions. The student will perform analysis on data presented as a force-time graph and predict the change in momentum of a system. The student will 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. The student will 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. Unit: Work, Energy, And Conservation Of Energy Duration: 6 Day(s) The conservation of Energy is a foundation of physics. Work is the agent of change of energy, especially mechanical forms of energy A force exerted on an object can change the kinetic energy of the object. Conservation of energy is a foundation of the study of physics. Interactions with other objects or systems can change the total energy of a system. How is energy exchanged and transformed within various systems? Why does the conservation of energy not necessarily mean all energy is useful? Topic: Work & Energy The student will 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. The student will 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 systems, and/or the internal energy of the system. The student will 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 expected to solve qualitatively and/or quantitatively for one-dimensional situations and only qualitatively in two-dimensional situations. The student will calculate changes in kinetic energy and potential energy of a system using information from representations of the system. The student will 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, solve for missing variables, and calculate their values. The student will 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). The student will make predictions 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. The student will make qualitative predictions about natural phenomena based on conservation of linear momentum and restoration of kinetic energy in elastic collisions. Page 5

6 The student will 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. The student will 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. The student will use force and velocity vectors to determine qualitatively or quantitatively the net force exerted on an object and qualitatively whether kinetic energy of that object would increase, decrease, or remain unchanged. The student will use net force and velocity vectors to determine qualitatively whether kinetic energy of an object would increase, decrease, or remain unchanged. Unit: Rotational Motion: Torque, Rotational Kinematics And Energy, Rotational Dynamics, And Conservation Of Angular Momentum Rotational motion and its changes are described and calculated Duration: 12 Day(s) A force exerted on an object can cause a torque on that object. The angular momentum of a system is conserved. The energy of a system is conserved. How do changes in rotational inertia affect rotational motion? How are experiments designed to analyze the change in angular momentum in a system? Topic: Torque and rotational dynamics Duration: 8 Day(s) The student will calculate torques on a two-dimensional system in static equilibrium by examining a representation of model (such as a diagram or physical construction). The student will compare the torques on an object caused by various forces. The student will design an experiment and analyze data testing a question about torques in a balanced rigid system. The student will estimate the torque on an object caused by various forces in comparison to other situations. The student will justify the selection of a mathematical routine to solve for the change in angular momentum of an object caused by torques exerted on the object The student will make calculations of quantities related to the angular momentum of system when the net external torque on the system is zero. The student will 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. The student will make qualitative predictions about the angular momentum of a system for a situation in which there is no net external torque. The student will plan a 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. The student will plan data collection and analysis strategies designed to test the relationship between torque exerted on an object and the change in angular velocity of that object about an axis. The student will plan data collection and analysis strategies designed to test the relationship between torques exerted on an object and the change in angular momentum of that object. The student will 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. The student will use representations of the relationship between force and torque. The student will use representations of the center of mass of an isolated two-object system to analyze the motion of the system qualitatively and semiquantitatively. Unit: Electrostatics: Electric Charge And Electric Force Page 6

7 The electric charge of an object is a fundamentally conserved quantity Electric charge is a property of an object or system that affects its interactions with objects or systems containing charge. At the macropscopic level, forces can be categorized as either long-range (action at a distance) forces or contact forces. Certain quantities are conserved, in the sense that the 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. How are gravitational forces similar and different from electrical forces? How are open systems different than closed systems? Topic: Electric Charge & Force Charge and Force are fundamental units of matter The student will challenge the claim that an electric charge smaller than the charge has been isolated. The student will connect the strength of electromagnetic forces with the spatial scale of the situation, the magnitude of the electric charges, and the motion of the electrically charged objects involved. The student will construct an explanation of the two-charge model of electric charge based on evidence produced through scientific practices. The student will make claims about natural phenomena based on conservation of electric charge. The student will make predictions, using the conservation of electric charge, about the sign and relative quantity of net charge of objects or systems after various charging processes, including conservation of charge in simple circuits. The student will explain contact forces (tension, friction, normal, buoyant, spring) as arising from interatomic electric forces and that they therefore have certain directions. The student will connect the concepts of gravitational force and electric force to compare similarities and differences between the forces. The student will define open and closed/isolated systems for everyday situations and apply conservation concepts for energy, charge, and linear momentum to those situations. Unit: DC Circuits: Resistors Only The basics of the flow of charge and the transfer of energy through a simple circuit. Electric charge is a property of an object or system that affects its interactions with other objects or systems containing charge. Materials have many macroscopic properties that result from the arrangement and interactions of the atoms and molecules that make up the material. The energy of a system is conserved. The electric charge of a system is conserved. How is conservation of charge demonstrated in a simple DC electric circuit? How is conservation of energy measured in a simple DC circuit? Topic: DC Circuits The basics of DC circuits and conservation of charge The student will make claims about natural phenomena based on conservation of electric charge. The student will make predictions, using the conservation of electric charge, about the sign and relative quantity of net charge of objects or systems after various charging processes, including conservation of charge in simple circuits. The student will 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. The student will 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. The student will apply conservation of energy concepts to the design of an experiment that will demonstrate the validity of Kirchhoff's loop rule ( ΔV=0) in a circuit with only a battery and resistors either in series or in, at most, one pair of parallel branches. Page 7

8 The student will 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). The student will use a description or schematic diagram of an electrical circuit to calculate unknown values of current in various segments or branches of the circuit. Unit: Mechanical Wave And Sound Waves can transfer energy and momentum from one location to another without a transfer of mass. Duration: 10 Day(s) A wave is a traveling disturbance that transfers energy and momentum. A periodic wave is one that repeats as a function of both time and position and can be described by its amplitude, frequency, wavelength, speed and energy. Interference and superposition lead to standing waves and beats. How are standing waves formed? Why is resonance such a critical concept for energy transfer? Topic: Mechanical Waves Duration: 8 Day(s) The student will 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. The student will calculate wavelengths and frequencies (if given wave speed) of standing waves based on boundary conditions and length of region within which the wave is confined, and calculate numerical values of wavelengths and frequencies. Examples should include musical instruments. The student will 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. The student will describe representations and models of situations in which standing waves result from the addition of incident and reflected waves confined to a region. The student will describe representations of transverse and longitudinal waves. The student will 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. The student will design a suitable experiment and analyze data illustrating the superposition of mechanical waves (only for wave pulses or standing waves). The student will 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, revise the relationship among variables responsible for establishing standing waves on a string or in a column of air. The student will predict properties of standing waves that result from the addition of incident and reflected waves that are confined to a region and have nodes and antinodes. The student will 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. The student will 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. The student will use a visual representation to explain how waves of slightly different frequency give rise to the phenonmenon of beats. The student will use representations of individual pulses and construct representations to model the interaction of two wave pulses to analyze the superposition of two pulses. Unit: English Language Arts within and Technology Content Duration: Ongoing Page 8

9 The following unit is aligned with Common Core and focused on the importance of reading and writing in the content areas. This unit is specifically focused on science and technology. Reading scientific pieces include various elements that are different than in other contents. Writing scientific pieces has various elements that are different than in other contents. How do reading scientific texts vary from other content areas? How to you express your idea and knowledge differently in scientific writings? Topic: English Language Arts within and Technology Content Duration: Ongoing The student will cite specific textual evidence to support analysis of science and technical texts, attending to the precise details of explanations or descriptions. The student will write arguments focused on discipline-specific content. - Introduce precise claim(s), distinguish the claim(s) from alternate or opposing claims, and create an organization that establishes clear relationships among the claim(s), counterclaims, reasons, and evidence. - Develop claim(s) and counterclaims fairly, supplying data and evidence for each while pointing out the strengths and limitations of both claim(s) and counterclaims in a discipline-appropriate form and in a manner that anticipates the audience's knowledge level and concerns. - Use words, phrases, and clauses to link the major sections of the text, create cohesion, and clarify the relationships between claim(s) and reasons, between reasons and evidence, and between claim(s) and counterclaims. - Establish and maintain a formal style and objective tone while attending to the norms and conventions of the discipline in which they are writing. - Provide a concluding statement or section that follows from or supports the argument presented. The student will write informative/explanatory texts, including the narration of historical events, scientific procedures/ experiments, or technical processes. - Introduce a topic and organize ideas, concepts, and information to make important connections and distinctions; include formatting (e.g., headings), graphics (e.g., figures, tables), and multimedia when useful to aiding comprehension. - Develop the topic with well-chosen, relevant, and sufficient facts, extended definitions, concrete details, quotations, or other information and examples appropriate to the audience's knowledge of the topic. - Use varied transitions and sentence structures to link the major sections of the text, create cohesion, and clarify the relationships among ideas and concepts. - Use precise language and domain-specific vocabulary to manage the complexity of the topic and convey a style appropriate to the discipline and context as well as to the expertise of likely readers. - Establish and maintain a formal style and objective tone while attending to the norms and conventions of the discipline in which they are writing. - Provide a concluding statement or section that follows from and supports the information or explanation presented (e.g., articulating implications or the significance of the topic). The student will write routinely over extended time frames (time for reflection and revision) and shorter time frames (a single sitting or a day or two) for a range of discipline-specific tasks, purposes, and audiences. The student will produce clear and coherent writing in which the development, organization, and style are appropriate to task, purpose, and audience. The student will develop and strengthen writing as needed by planning, revising, editing, rewriting, or trying a new approach, focusing on addressing what is most significant for a specific purpose and audience. The student will use technology, including the Internet, to produce, publish, and update individual or shared writing products, taking advantage of technology's capacity to link to other information and to display information flexibly and dynamically. The student will conduct short as well as more sustained research projects to answer a question (including a self-generated question) or solve a problem; narrow or broaden the inquiry when appropriate; synthesize multiple sources on the subject, demonstrating understanding of the subject under investigation. The student will gather relevant information from multiple authoritative print and digital sources, using advanced searches effectively; assess the usefulness of each source in answering the research question; integrate information into the text selectively to maintain the flow of ideas, avoiding plagiarism and following a standard format for citation. Page 9

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