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Product and Quotient Properties of Exponents

This lesson helps students understand two foundational exponential properties: The Product and Quotient Properties of Exponents. Students will collaborate to formulate a rule for these properties. Ultimately, students should conclude that when the same bases are being multiplied, exponents will be added; and when the same bases are being divided, exponents will be subtracted. As the lesson progresses, students will apply these rules to simplify expressions of various difficulties.

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6 Chapter 3: Kinematics

In this chapter, we analyze the motion of constantly accelerated objects over time in terms of displacement, velocity, and acceleration.

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5 Chapter 6: Waves

In this chapter, we explore the mathematical concept of a wave and show how this concept can be used to accurately describe and predict many natural phenomena.

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3 Chapter 7: Static Electricity

In this chapter, we explore how electrically charged particles interact through electrostatic forces and fields.

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3 Chapter 1: Nature of Science and Scientific Ethics

In this chapter, we explore the nature of science itself, including its practice, ethics, and impact.

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5 Chapter 2: Tools of Physics

In this chapter, we discuss several ideas and tools that will be helpful in our introductory study of physics.

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5 Chapter 4: Newton's Laws and Momentum

In this chapter, we introduce Newton's laws, and then explore the concepts of momentum and conservation of momentum.

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7 Chapter 5: Conservation of Energy and Gravitation

In this chapter, we explore a formulation of classical physics in the context of energy rather than force, and we explore the concept of gravitation in more universally applicable detail.

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5 Chapter 8: Circuits and Magnetism

In this chapter, students will learn introductory concepts surrounding electricity and magnetism.

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7 Chapter 9: Special Topics

In this chapter, we present several special topics that may arise in the study of physics.

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6 Chapter 10: Equipment and Experiments

In this chapter, we demonstrate the use of various laboratory equipment.

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6 OnTRACK Algebra I: Properties and Attributes of Functions

Students will learn how to use the properties and attributes of functions.

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3.02 Average Speed and Average Velocity

In this video, we explore the difference between speed and velocity, and their relationship to distance and displacement.

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3.03 Kinematic Equations in One Dimension

In this video, we introduce the three primary kinematics equations and apply them to one-dimensional problems. The term "acceleration" is also introduced.

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3.04 Kinematic Equations Graphical Analysis

In this video, we analyze hypothetical experiments by graphing position, velocity, and acceleration versus time, qualitatively.

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3.05 Kinematic Equations in Two Dimensions

In this video, we apply the three primary kinematic equations to projectile motion problems.

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3.06 Relative Motion

In this video, the inherent (classical) relativity of velocity measurements is explored, qualitatively and quantitatively, in both one and two dimensions.

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3.01 Distance and Displacement

In this video, we explore the difference between distance traveled (an example of a scalar) and displacement (an example of a vector), and we review some basic vector math.

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Solving Quadratic Equations Using Algebraic Methods

Given a quadratic equation, the student will solve the equation by factoring, completing the square, or by using the quadratic formula.

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Quadratics: Connecting Roots, Zeros, and x-Intercepts

Given a quadratic equation, the student will make connections among the solutions (roots) of the quadratic equation, the zeros of their related functions, and the horizontal intercepts (*x*-intercepts) of the graph of the function.