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6.08 Bonus Video: Law of Sines—The Ambiguous Case
The Law of Sines can be used to solve for sides and angles of oblique triangles. However, in some cases more than one triangle may satisfy the given conditions. We refer to this as an ambiguous case.
6 Chapter 3: Kinematics
In this chapter, we analyze the motion of constantly accelerated objects over time in terms of displacement, velocity, and acceleration.
8 Chapter 5: Introduction to Trigonometry and Graphs
In this chapter, we will explore angle measures and the trigonometric ratios, including graphing and inverses.
5 Chapter 7: Sequences and Series
In this chapter, we introduce sequences and series, some of their applications, and the Binomial Theorem.
3 Chapter 4: Systems of Equations
In this chapter, we will explore the methods used to solve systems of equations, and real-world situations involving systems of equations.
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.
6 Chapter 2: Polynomial and Rational Functions
In this chapter, we will explore beyond linear functions and learn about polynomial and rational functions.
3 Chapter 7: Static Electricity
In this chapter, we explore how electrically charged particles interact through electrostatic forces and fields.
8 Chapter 6: Trigonometric Identities and Applications
In this chapter, students will learn a robust list of trigonometric identities along with their applications. Students will also be introduced to vectors.
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.
7 Chapter 8: Conic Sections, Parametric Equations, and Polar Coordinates
In this chapter, we introduce conic sections, parametric equations, and polar coordinates.
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.
5 Chapter 1: Introduction to Functions and Graphs
In this chapter, students are introduced to lines, functions, and graphs of functions.
8 Chapter 3: Exponential and Logarithmic Functions
In this chapter, students are introduced to exponential and logarithmic functions. Students will learn about the functions' graphs, how to solve equations involving those functions, and their real-world applications.
11 OnTRACK Grade 8 Math: Proportionality
Students learn to to use proportional relationships to describe dilation; explain proportional and non-proportional relationships involving slope; and use proportional and non-proportional relationships to develop foundational concepts of functions.