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EAST PENNSBORO AREA SCHOOL DISTRICT COURSE: 216 PHYSICS I Unit: Dynamics of Circular Motion Subject(s): Physics I Days: 10 Grade(s): Key Learning(s): Objects moving in a circle can be explained using Newtonian Dynamics. 11, 12 Instructional Tools: Vernier Lab Equipment (Lab Pro and Rotary Motion Sensors) Laptop Computers Unit Essential Question(s): How can rotational motion be explained using Newton’s Laws of Motion? Force Diagrams Concept: Concept: Concept: Objects moving in a circle are constantly undergoing a change in their motion. According to Newton’s 1st and 2nd laws, this can only be a result of a net force, which is called the centripetal force. This is the force that is pulling an object toward the center of the circle in which it is rotating. The motion of an object moving in a circular path can be predicted using Newtonian dynamics to calculate the acceleration of the object. Newton’s Law of Universal Gravitation computes the force between two masses at a distance. Lesson Essential Questions: Is an object that is rotating in a circle moving in its natural state of motion? Lesson Essential Questions: How does Newtonian dynamics explain and predict the motion of an object moving in a circle? Lesson Essential Questions: How does gravity exert its influence on an object and how can it be calculated? Competencies: Use information from the various representations of circular motion to solve for unknown quantities of motion. Competencies: Use information from the various representations of translational and circular motion to solve for unknown quantities of motion. Construct a free body diagram indicating the magnitude and direction of the forces on an object moving in circular path and use information from the diagram to determine the motion of the object. Construct a free body diagram indicating the magnitude and direction of the forces on an object moving in a translational or circular path and use information from the diagram to determine the motion of the object. Board Approval: April 19, 2011 — 1— EAST PENNSBORO AREA SCHOOL DISTRICT Unit: COURSE: Heat and Thermodynamics Days: 10 days 216 Subject(s): Physics I Grade(s): 11, 12 PHYSICS I Key Learning(s): Instructional Tools: Molecular motion can be interpreted and predicted using the concepts of Work & Energy. Vernier Lab Unit Essential Question(s): How can the motion and interaction of molecules in matter be understood and predicted? Laptop Computers Equipment (Lab Pro Temperature Probes) Concept: Concept: Concept: Temperature is a measure of the average kinetic energy of the molecules in a system. Matter exists in three different molecular orientations that are based on the temperature of the substance. Objects that are at different temperatures will strive toward Thermal Equilibrium when placed together in a system. This will happen in accordance with the law of conservation of energy. Lesson Essential Questions: How is temperature used to describe molecular motion? Heat is a term used to describe the amount of energy that moves from a region of high temperature to low temperature. Specific Heat is the amount of energy required to raise the temperature of a specific substance. Lesson Essential Questions: How does thermal energy move from one region to another? Competencies: Use information from the various representations of thermodynamics to solve for unknown motion quantities of molecular motion. Competencies: Use information from the various representations of thermodynamics to solve for unknown motion quantities of molecular motion. Lesson Essential Questions: What happens to objects at different temperatures when they interact in the same system? Competencies: Use information from the various representations of thermodynamics to solve for unknown motion quantities of molecular motion. Concept: Latent Heat is the energy required to change a substance from one phase of matter to another. Lesson Essential Questions: What happens to the temperature of a substance when it goes through a change of state? Board Approval: April 19, 2011 — 2— Competencies: Use information from the various representations of thermodynamics to solve for unknown motion quantities of molecular motion. EAST PENNSBORO AREA SCHOOL DISTRICT Unit: COURSE: 1-Dimensional and 2-Dimensional Kinematics Days: 30 216 PHYSICS I Subject(s): Physics I Grade(s): 11, 12 Key Learning(s): Instructional Tools: Objects that move in translational motion are described in terms of position, velocity, and acceleration. Vernier Lab Equipment (LabPro and Photogates) Projectile Launchers Unit Essential Question(s): How can the motion of an object be described and predicted in a measurable and quantitative way? Concept: The position, velocity, and acceleration of an object can be measured and quantified (in magnitude and direction), using appropriate tools and units, in a reference frame. Lesson Essential Questions: How does describing the motion of an object lead to scientific prediction? Competencies: Use information from the various representations of translational motion to solve for unknown motion quantities of objects in translational motion. Head-to-Tail Graphical Methods of Vectors Concept: Position, velocity and acceleration are examples of vectors, quantities relying on both direction and magnitude that combine with other velocity and acceleration vectors according to specific mathematical rules. Lesson Essential Questions: How do vector quantities differ from scalar quantities? Concept: Vectors allow the formulation of Physical Laws independent of a particular coordinate system. Competencies: Use information from the various representations of translational motion to solve for unknown motion quantities of objects in translational motion. Competencies: Use information from the various representations of translational motion to solve for unknown motion quantities of objects in translational motion. Lesson Essential Questions: Are the concepts of position (location) and motion absolute? Concept: The motion of a projectile can be represented and analyzed as two different motions, a vertical motion with constant acceleration and a horizontal motion with constant speed. Lesson Essential Questions: How is two-dimensional motion broken down into 2 separate 1Dimensional pictures? Board Approval: April 19, 2011 — 3— Competencies: Use information from the various representations of translational motion to solve for unknown motion quantities of objects in translational motion. EAST PENNSBORO AREA SCHOOL DISTRICT Unit: COURSE: Linear Momentum 216 PHYSICS I Subject(s): Physics I Days: 10 Grade(s): 11, 12 Key Learning(s): The interaction between two objects can be understood using the concept of Linear momentum. Instructional Tools: Unit Essential Question(s): How can the motion and interaction of objects be described, explained and predicted using the concept of momentum? Laptop Computers Vernier Lab Equipment (LabPro and Force Sensor) Ballistic Pendulums Concept: Concept: Concept: Impulse is the mathematical product when a Force acts on an object over a time interval. Momentum is the vectoral product of a mass and its velocity. Lesson Essential Questions: What happens to an object when a force that is acting on it is not instantaneous? Competencies: Use graphical representation of the force versus the time interval. Lesson Essential Questions: How is the motion of an object described using concepts of vectoral momentum? Competencies: Use information from the various representations of translational motion to solve for unknown motion quantities of objects in translational motion. The Law of Conservation of Linear Momentum states that the total vectoral momentum in a system must remain constant throughout the interaction of any two objects. Lesson Essential Questions: How would the Law of Conservation of Momentum predict the motion and interaction of two objects? Competencies: Use the Law of Conservation of Momentum to predict the motion of two objects both before and after their interaction. Identify concepts of calculus to find areas of non-linear functions on a force versus time graph. Show that the Impulse-momentum theorem is a derivation of Newton’s 2nd Law of Motion. Concept: When two objects interact, there are three possible types of interaction: Elastic, Inelastic and Perfectly Inelastic interactions. Board Approval: April 19, 2011 — 4— Lesson Essential Questions: What are the three possible ways in which two objects can interact? Competencies: Use concepts of momentum and energy to predict the motion of two objects both before and after their interaction. EAST PENNSBORO AREA SCHOOL DISTRICT COURSE: 216 Unit: Newtonian Dynamics Subject(s): Physics I Days: 20 Grade(s): 11, 12 Key Learning(s): PHYSICS I Instructional Tools: All forces arise from the interactions between different objects. All changes in translational motion are due to forces. Vernier Lab Equipment (LabPro and Rotary Motion Sensors) Laptop Computers Unit Essential Question(s): Force Diagrams How can the motion of an object be explained by the forces that interact with the object? Concept: Four fundamental forces of nature dominate at different scales: the strong and weak forces acting within the nucleus opposing protonproton repulsion, the electrical force dominates in biological and chemical processes, and gravitational force dominates at astronomical scales. Concept: Newton’s Laws of Motion empirically describe the motion of objects in terms of force interactions, mass, and acceleration in a non-accelerating, non-relativistic reference frame. Concept: Inertial mass is a measure of the resistance of an object to changes in translation motion (Newton’s First Law of Motion). Lesson Essential Questions: How does explaining the motion of an object help us predict its motion? Lesson Essential Questions: How does Newton’s dynamic explanation of motion vary from previous explanations of motion? Lesson Essential Questions: What is the natural state of motion for an object? Board Approval: April 19, 2011 — 5— Competencies: Identify and categorize any and all interactions into one of these four fundamental categories. Competencies: Compare variations in explanative models of motion such as the Newtonian model and the Aristotelian model. Concept: Given knowledge of all the forces acting on an object, its accelerations can be calculated. While many forces can act on an object, those forces can be represented and analyzed using a free body diagram. Concept: When two surfaces of objects are in contact with each other, the force of friction between them depends on the nature of the materials in contact and the normal force. Lesson Essential Questions: What does a net force do to change the motion of an object? Lesson Essential Questions: How does friction factor into explaining the motion of an object? Competencies: Use information from the various representations of translation motion to solve for unknown motion quantities of objects in translational motion. Competencies: Use information from the various representations of translation motion to solve for unknown motion quantities of objects in translational motion. Construct a free body diagram indicating the magnitude and direction of the forces on an object and use information from the diagram to determine the motion of the object. Construct a free body diagram indicating the magnitude and direction of the forces on an object and use information from the diagram to determine the motion of the object. Competencies: Identify the current state of motion of an object by describing its motion. Board Approval: April 19, 2011 — 6— EAST PENNSBORO AREA SCHOOL DISTRICT Unit: COURSE: Rotational Motion and Angular Quantities Days: 15 days 216 Subject(s): Physics I Grade(s): 11, 12 PHYSICS I Key Learning(s): Objects that move in rotational motion are described and explained in a measureable and quantitative way. Instructional Tools: Unit Essential Question(s): How can the motion of a rotating object be described and predicted in a measurable and quantitative way? Laptop Computers Vernier Lab Equipment (LabPro, Rotational Motion Sensor, Moment of Inertia Kits) Concept: The angular position, angular velocity, and angular acceleration of an object can be measured and quantified (in magnitude and direction), using appropriate tools and units, in a rotating reference frame. A Radian is an angular quantity used to describe the angular position of a rotating object. Concept: Torque is when a force acts on an object causing it to rotate. It is the mathematical product of the Force acting on the rotating object and the distance away from the axis of rotation that the force is acting (Lever Arm). Concept: Moment of Inertia is the term used to describe rotational mass. It is the mathematical product of the mass of the rotating object and how the mass is distributed about the axis of rotation. Lesson Essential Questions: How is the motion of a rotating object described and predicted? Lesson Essential Questions: What are the physical causes of rotational motion? Lesson Essential Questions: How does the distribution of mass of a rotating body change its rotational mass? Board Approval: April 19, 2011 — 7— Competencies: Use information from the various representations of rotational motion to solve for unknown motion quantities of objects in rotational motion. Competencies: Use information from the various representations of rotational motion to solve for unknown motion quantities of objects in rotational motion. Competencies: Use information from the various representations of rotational motion to solve for unknown motion quantities of objects in rotational motion. Concept: Newton’s laws of motion explain the motion of a rotating object in that Torques cause Moments of Inertia to angularly accelerate. Concept: Rotational Kinetic Energy is a scalar property of motion that an object has because it has rotational mass and angular velocity. If an object has rotational kinetic energy, in accordance with the law of conservation of energy, this quantity must be conserved as part of the overall energy of a system. Objects can have a combination of translational and rotational kinetic energies. Lesson Essential Questions: How is the concept of Rotational Kinetic Energy related to the Law of Conservation of Energy? Competencies: Use information from the various representations of rotational motion to solve for unknown motion quantities of objects in rotational motion. Concept: Angular Momentum is a vectoral property of motion that an object has because it has rotational mass and angular velocity. If there are no Impulses acting on a rotating object over a time interval, then the Angular Momentum of the object must remain constant. Lesson Essential Questions: How do Torques mathematically explain the motion of a rotating object? Competencies: Use information from the various representations of rotational motion to solve for unknown motion quantities of objects in rotational motion. Lesson Essential Questions: How is the concept of Angular Momentum related to the Law of Conservation of Momentum? Competencies: Use information from the various representations of rotational motion to solve for unknown motion quantities of objects in rotational motion. Construct and derive a theoretical and mathematical procedure to demonstrate the relationship between rotational mass and angular dynamic quantities. Board Approval: April 19, 2011 — 8— EAST PENNSBORO AREA SCHOOL DISTRICT Unit: COURSE: Work and Energy Days: 25 216 PHYSICS I Subject(s): Physics I Grade(s): 11, 12 Key Learning(s): All motion can be explained using the work & energy model. Instructional Tools: Vernier Lab Equipment (LabPro and Photogates) Laptop Computers Unit Essential Question(s): How can the motion of an object be described, explained and predicted using the Work & Energy model? Concept: Mechanical Work is the mathematical product when a force acts on an object causing it to move a distance. Concept: Kinetic Energy is the property of an object by virtue of its mass and its motion. Changes in Kinetic Energy occur as a result of some net work being done on an object. Lesson Essential Questions: What is the result when a force acts on an object causing it to move a distance? Lesson Essential Questions: How does identifying the Kinetic energy of an object describe something about the motion of the object? Ballistic Pendulums Concept: Gravitational Potential Energy is the property of an object by virtue of its mass and its position relative to some reference point of zero gravitational potential energy. Changes in gravitational potential energy occur when a restoring force does work on an object. Lesson Essential Questions: How does identifying the Gravitational Potential energy of an object describe something about the position of the object? Board Approval: April 19, 2011 — 9— Competencies: Calculate the work done on an object by all of the forces that are acting on an object. Competencies: Calculate the Kinetic Energy of an object by understanding its mass and its velocity. Calculate the change in the kinetic energy of an object by determining the net work that is done on the object. Competencies: Calculate the Gravitational Potential Energy of an object by understanding its mass and its position relative to some reference point. Calculate the change in the gravitational potential energy of an object by determining the work done by gravity on the object. Concept: Elastic Potential Energy is the property of an object by virtue of its position relative to some equilibrium position in an oscillating system. Changes in elastic potential energy occur when the restoring force of the spring does work on an object. Concept: The Law of Conservation of Mechanical Energy, which states that the total amount of mechanical energy in system must remain constant, is an alternative method to Newtonian Dynamics for describing, explaining and predicting motion. All of the energy in a system must be accounted for whether it is transformed into another type of mechanical energy or whether it is transformed into thermal energy by some dissipative force. Concept: Power is the rate at which mechanical work is done or which mechanical energy is transformed. Lesson Essential Questions: How does identifying the Elastic Potential energy of an object describe something about the position of the object? Lesson Essential Questions: How does understanding energy transformations and mechanical energy conservation help to describe, explain and predict the motion of an object? Lesson Essential Questions: How does the rate at which energy is transformed used to predict the motion of an object? Competencies: Calculate the Elastic Potential Energy of an object by understanding the properties of the spring that is acting on it and its position relative to some equilibrium point. Competencies: Use conservation of energy to calculate the kinetic energy and potential energy of an object at any time during its motion. Competencies: Calculate the power exerted when a certain amount of work is done or when a certain amount of energy is transformed. Calculate the change in the elastic potential energy of an object by determining the work done by the force of the spring on the object. Board Approval: April 19, 2011 — 10 —