Lesson 1 - Scalars and Vectors
Physical quantities; Properties and components of vectors; Adding, subtracting, multiplying, and dividing vectors
Learning Objectives:– Explain the difference between scalars and vectors, and list examples of each.
– Draw a vector, given a verbal description.
– Describe a vector verbally, given its graphic symbol, a frame of reference, and an appropriate scale.
– Define resolution, resultant, and commutative.
– Demonstrate how to resolve a vector into its rectangular components.
– Demonstrate how to add and subtract vector quantities in one-dimensional and two-dimensional frames of reference.
– Multiply and divide a vector by a scalar.
Lesson 2 - Motion Along a Straight Line
Speed; Velocity; Slope; Changing and instantaneous velocity; Velocity-vs-time graph; Finding displacement; Using a curved graph
Learning Objectives:– Explain the difference between speed and velocity.
– Define the terms instantaneous velocity, average velocity, and slope.
– Identify the delta notation, and explain how to use it in a calculation.
– Demonstrate how to determine displacement and velocity from a position-versus-time graph.
– Demonstrate how to determine displacement by calculating the area under a velocity-versus-time graph.
Lesson 3 - Acceleration
Directional acceleration; Equations of motion; Acceleration due to gravity; Upward and lateral motion during free fall
Learning Objectives:– Define acceleration.
– Demonstrate how to determine the magnitude of an acceleration from a velocity-verses-time graph.
– Demonstrate the difference between average acceleration and instantaneous acceleration.
– Solve simple problems for average acceleration, displacement, and final velocity.
– Explain why the velocity-verses-time graph for all objects in free fall are parallel (when drawn on the same coordinate system).
Lesson 4 - How to Describe Force
Motion; Basic forces of nature; Action/reaction pairs; Newton's Third Law of Motion; Unbalanced forces; Resolution of forces
Learning Objectives:– Define force.
– Name the four basic types of forces in nature.
– State Newton’s Universal Law of Gravitation.
– Explain how and why vectors are used to represent forces.
– Explain Newton’s Third Law of Motion.
– Give examples which demonstrate that forces always occur in action-reaction pairs.
– Demonstrate how to add force vectors.
– Describe how to resolve a force vector into its components.
Lesson 5 - Force and Acceleration
Friction; Newton's First and Second Laws of Motion; "Resistance" to acceleration; Units of force; Conservation of momentum
Learning Objectives:– State Newton’s First Law of Motion.
– Define inertia, and describe how it is measured.
– Explain why a force must be applied continuously to objects on earth in order to maintain their motion.
– Explain what happens when a net applied force is greater than the friction force.
– State Newton’s Second Law of Motion.
– Solve problems using the equation F=ma.
Lesson 6 - Equilibrium
Forces on bodies; Particles in static equilibrium; Equilibrium of a rigid body; Center of mass
Learning Objectives:– State the two conditions of equilibrium, and distinguish between static and dynamic equilibrium.
– Explain the difference between particles and rigid bodies.
– Define torque.
– Solve problems involving torque and rotational equilibrium.
Lesson 7 - Rotational and Circular Motion
Centripetal and centrifugal force; Rotational motion; Angular displacement; Velocity; Acceleration; Tangential acceleration; Moments of inertia
Learning Objectives:– Describe centripetal force.
– Differentiate between centripetal acceleration, angular acceleration, and tangential acceleration, and state the formula for each.
– Demonstrate how to convert degree measurements to radian measurements.
– Define the terms uniform circular motion, period angular velocity, angular impulse, angular momentum, and moment of inertia.
– Explain why moment of inertia is calculated differently for different objects.
– State Newton;s Second Law in terms of rotational motion.
– Identify examples of the Law of Conservation of Angular Momentum.
Lesson 8 - Simple Harmonic Motion
Periodic motion; Simple harmonic motion; Hooke's Law; Equations of harmony; Resonance
Learning Objectives:– Describe the relationship between simple harmonic motion and uniform circular motion.
– Define the terms cycle, amplitude, frequency, period, and Hertz.
– State Hooke’s Law.
– Describe how acceleration and restoring force vectors change as an object moves in simple harmonic motion.
– Use equations to determine the period and frequency of both a mass-spring system and a pendulum.
– Give examples of resonance.