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Learning Goals combine Statements (what students know) with Actions (what students can do).

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Label Description Status Operations
CalcDistance1D Given two positions in one dimension, the student calculates the distance between the positions. Ready Edit
CalcDurationFromTimes Given the times (clock readings) of the two events, the student calculates the duration between the events. Ready Edit
CalcGravForce Given the masses of two spherical objects of uniform density and the distance between their centers, the student calculates the gravitational force exerted on one of the objects by the other. Ready Edit
CalcKinEqn1 For an object in one-dimensional motion with constant acceleration, given any three of the initial velocity $v_1$, final velocity $v_2$, acceleration $a$, and duration $\Delta t = \left(t_2-t_1\right)$, the student calculates the fourth. Ready Edit
CalcKinEqn2 For an object in one-dimensional motion with constant acceleration, given any four of the initial position $x_1$, final position $x_2$, initial velocity $v_1$, final velocity $v_2$, and duration $\Delta t = \left(t_2-t_1\right)$, the student calculates the fifth. Ready Edit
CalcKinEqn3 For an object in one-dimensional motion with constant acceleration, given any four of the initial position $x_1$, final position $x_2$, initial velocity $v_1$, acceleration $a$, and duration $\Delta t = \left(t_2-t_1\right)$, the student calculates the fifth. Ready Edit
CalcKinEqn4 For an object in one-dimensional motion with constant acceleration, given any three of the initial velocity $v_1$, final velocity $v_2$, acceleration $a$, and displacement $\Delta x = \left(x_2-x_1\right)$, the student calculates the fourth. Ready Edit
CalcKinEqn5 For an object in one-dimensional motion with constant acceleration, given any four of the initial position $x_1$, final position $x_2$, final velocity $v_2$, acceleration $a$, and duration $\Delta t = \left(t_2-t_1\right)$, the student calculates the fifth. Ready Edit
CalcKinEqnAll For an object in one-dimensional motion with constant acceleration, given a sufficient number of the kinematic variables, the student calculates the others. Ready Edit
CalcmgForce Given the mass of an object at or very near Earth's surface, the student calculates Earth's gravitational force on the object. Ready Edit
CalcMirrorLensImage Given the object distance and the focal length of the mirror or thin lens, the student calculates the image distance. Ready Edit
CalcProjectileMotion Given an object in projectile motion near Earth's surface and over short distances relative to Earth's curvature, the student calculates kinematic quantities related to the projectile's trajectory. Ready Edit
CalcProjReleasedHorizDist For an object in projectile motion, given the altitude at which the object was released and its initial velocity (vector), the student calculates the horizontal distance traveled before the object hits the ground. Ready Edit
CalcRefractionAngleIndex Given the angle of incidence, the index of refraction of the incident medium, and the angle of refraction(index of refraction of the refracted medium), the student calculates the index of refraction of the refracted medium(angle of refraction). Ready Edit
CalcVFDM For a constant net force $F_{\text{net}}$ acting on a object of mass $m$ for a duration $\Delta t = \left( t_{2}-t_{1} \right)$ causing a change of velocity $\Delta v = \left( v_{2}-v_{1} \right)$, given any three of $F_{\text{net}}$, $m$, $\Delta t$, and $\Delta v$, the student calculates the fourth. Ready Edit
ClassifyConvergingImages Given the object distance and focal length, the student classifies the images formed by a converging lens or mirror as real or virtual, upright or inverted, and larger, same size, or smaller. Ready Edit
ClassifyLensMirror Given a lens or mirror, or its effect on light rays parallel to the optical axis, the student classifies the lens or mirror as converging or diverging. Ready Edit
ClassifyRelSpeedMotionMap Given several motion maps, or several portions of the same motion map, based on the same duration, the student distinguishes time intervals having lesser, the same, or greater speeds. Ready Edit
ClassifyTransparentOpaque Given materials or images of materials, the student classifies the materials as transparent or opaque. Ready Edit
ConstrAccelGraphFromVelGraph1D Given a velocity v. time graph for an object in one-dimensional motion, the student constructs the corresponding acceleration v. time graph. Ready Edit
ConstrAccelGraphFromVelGraphConstAccel1D Given a velocity v. time graph for an object in one-dimensional motion with piecewise-constant acceleration, the student constructs the corresponding acceleration v. time graph. Ready Edit
ConstrPosGraphFromVelGraph1D Given a velocity v. time graph, and an initial position, for an object in one-dimensional motion, the student constructs the corresponding position v. time graph. Ready Edit
ConstrPosGraphFromVelGraphConstAccel1D Given a velocity v. time graph, and an initial position, for an object in one-dimensional motion with piecewise-constant acceleration, the student constructs the corresponding position v. time graph. Ready Edit
ConstrVelGraphFromAccelGraph1D Given an acceleration v. time graph, and an initial velocity, for an object in one-dimensional motion, the student constructs the corresponding velocity v. time graph. Ready Edit
ConstrVelGraphFromAccelGraphConstAccel1D Given an acceleration v. time graph, and an initial velocity, for an object in one-dimensional motion with piecewise-constant acceleration, the student constructs the corresponding velocity v. time graph. Ready Edit
ConstrVelGraphFromPosGraph1D Given a position v. time graph for an object in one-dimensional motion, the student constructs the corresponding velocity v. time graph. Ready Edit
ConstrVelGraphFromPosGraphConstAccel1D Given a position v. time graph for an object in one-dimensional motion with piecewise-constant acceleration, the student constructs the corresponding velocity v. time graph. Ready Edit
DeriveProjLaunchHmax For an object in projectile motion, launched from and returning to earth's surface, the student derives the equation for the maximum altitude $h_\text{max}=\frac{v_0^2\sin^2\theta }{2g}$, where $v_0$ is the initial speed, $\theta$ is the launch angle, and $g\approx 9.8\, \mathrm{m/s}^2$ is the acceleration of gravity. Ready Edit
DeriveProjLaunchRange For an object in projectile motion, launched from and returning to earth's surface, the student derives the equation for the range (horizontal distance traveled) $R=\frac{v_0^2\sin^2 2\theta }{g}$, where $v_0$ is the initial speed, $\theta$ is the launch angle, and $g\approx 9.8\, \mathrm{m/s}^2$ is the acceleration of gravity. Ready Edit
DeriveProjLaunchToF For an object in projectile motion, launched from and returning to earth's surface, the student derives the equation for the time of flight $t=\left(\frac{2v_0\sin\theta}{g}\right)$, where $v_0$ is the initial speed, $\theta$ is the launch angle, and $g\approx 9.8 \, \mathrm{m/s}^2$ is the acceleration of gravity. Ready Edit
DeriveProjParabola For an object in projectile motion, the student shows that the trajectory is a parabola (e.g., by deriving $y = \left(\tan\theta\right)x - \left(\frac{g}{2v_0^2\cos^2\theta}\right)x^2$.) Ready Edit
DetAvgSpeed Given the path traveled by an object during a time interval, the student determines the object's average speed during that time interval. Ready Edit
DetClockReading The student determines the time (clock reading) of an event with respect to an origin (of time). Ready Edit
DetPosFromPosTable Given a position table for an object with constant speed, the student determines an intermediate or projected position. Ready Edit
DetSpeed Given an object's instantaneous velocity, the student determines the object's instantaneous speed. Ready Edit
FindAccelFromVelGraphID Given a velocity v. time graph for an object in one-dimensional motion, the student finds the acceleration at a particular time. Ready Edit
FindAvgVel Given a time interval and an associated displacement, the student finds the average velocity during the time interval. Ready Edit
FindConvergingImage Using principal rays, the student finds the image made by a converging lens or mirror. Ready Edit
FindDisp Given an object's positions at the beginning and end of a time interval, the student finds the object's displacement during the item interval. Ready Edit
FindDivergingImage Using principal rays, the student finds the image made by a diverging lens or mirror. Ready Edit
FindSpeedfromVel Given an object's (instantaneous) velocity, the student finds the object's (instantaneous) speed. Ready Edit
FindVelFromPosGraph1D Given a position v. time graph for an object in one-dimensional motion, the student finds the velocity at a particular time. Ready Edit
IdentifyGreaterVelChangeDuration Given equal net forces acting on equal-mass objects for different durations, the student identifies the object that experiences the greater change of velocity. Ready Edit
MeasureIncidenceReflection Given an angle of incidence or angle of reflection and a protractor, the student measures the angle in radians or degrees. Ready Edit
PredictElectricForceDistance The student predicts that the electrostatic force between two charged objects will be multiplied by $\frac{1}{4}$ (4, $\frac{1}{9}$, etc.) if the distance between the objects is multiplied by 2 ($\frac{1}{2}$, 3, etc.). Ready Edit
PredictInvPropVFDM Given a constant net force $F_{\text{net}}$ acting on an object of mass $m$ for a duration $\Delta t = t_{2}-t_{1}$ causing a change in velocity $\Delta v = v_{2}-v_{1}$, the student predicts the same net force acting for the same duration on a object of mass $2 m \left(\frac{1}{2} m, 3 m, \text{etc.} \right)$, will cause a change in velocity $\frac{1}{2} \Delta v \left(2 \Delta v, \frac{1}{3} \Delta v, \text{etc.} \right)$. Ready Edit
PredictInvQualVFDM Given a constant net force acting on an object for a duration causing a change in the object's velocity, the student predicts that the same net force acting for the same duration on an object of greater (lesser) mass will cause a lesser (greater) change in that object's velocity. Ready Edit
PredictObjectColor Given the colors of light that are absorbed by an object, and the color that is reflected, the student identifies the color of the object. Ready Edit
PredictPosConstSpeed1Dir Given the positions, at equal time intervals, of an object moving in one direction at constant speed, the student predicts future positions, or fills in missing position values, at those time intervals. Ready Edit
PredictPropLinearForceAccel Given the magnitudes $a$ and $F_{\textrm{net}}$ of the acceleration of, and net force acting on, an object, the student predicts that the same object with a net force of magnitude $2 F_{\textrm{net}} \left( \frac{1}{2} F_{\textrm{net}}, 3 F_{\textrm{net}}, \textrm{etc.} \right)$ acting on it will have an acceleration of magnitude $2 a \left( \frac{1}{2} a, 3 a, \textrm{etc.} \right)$. Ready Edit

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