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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.
6 Chapter 3: Kinematics
In this chapter, we analyze the motion of constantly accelerated objects over time in terms of displacement, velocity, and acceleration.
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.
3 Chapter 7: Static Electricity
In this chapter, we explore how electrically charged particles interact through electrostatic forces and fields.
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.
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.
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.
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.
5 Chapter 8: Circuits and Magnetism
In this chapter, students will learn introductory concepts surrounding electricity and magnetism.
7 Chapter 9: Special Topics
In this chapter, we present several special topics that may arise in the study of physics.
6 Chapter 10: Equipment and Experiments
In this chapter, we demonstrate the use of various laboratory equipment.
6 OnTRACK Algebra I: Properties and Attributes of Functions
Students will learn how to use the properties and attributes of functions.
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.
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.
3.04 Kinematic Equations Graphical Analysis
In this video, we analyze hypothetical experiments by graphing position, velocity, and acceleration versus time, qualitatively.
3.05 Kinematic Equations in Two Dimensions
In this video, we apply the three primary kinematic equations to projectile motion problems.
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.
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.
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.
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.