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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.
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.
6 Chapter 2: Polynomial and Rational Functions
In this chapter, we will explore beyond linear functions and learn about polynomial and rational functions.
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.
7 Chapter 8: Conic Sections, Parametric Equations, and Polar Coordinates
In this chapter, we introduce conic sections, parametric equations, and polar coordinates.
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.
Equipment for Biology
Given investigation scenarios, students will determine the equipment that best fits the procedure.
Disruptions of the Cell Cycle: Cancer
Given illustrations or descriptions, students will identify disruptions of the cell cycle that lead to diseases such as cancer.
Mechanisms of Genetics: DNA Changes
Given illustrations or partial DNA sequences, students will identify changes in DNA and the significance of these changes.
The learner explores the structure and function of the nucleic acids and enzymes important to the process of synthesizing proteins.
Given examples, students will recognize the importance of taxonomy to the scientific community.
Taxonomy: Major Groups
Given illustrations or descriptions, students will determine the classification of organisms into domains and kingdoms.
Homeostasis: Ecological Systems
Given images, videos, or scenarios, identify and describe the responses of organisms, populations, and communities to various changes in their external environment.
Biological Systems: Homeostasis
Identify and describe internal feedback mechanisms involved in maintaining homeostasis given scenarios, illustrations, or descriptions.
Relationships Between Organisms: Food Chains, Webs, and Pyramids
Given illustrations, students will analyze the flow of matter and energy in food chains, food webs, and ecological pyramids.
Given scenarios, illustrations. or descriptions, the student will compare variations and adaptations of organisms in different ecosystems.
Cell Homeostasis: Osmosis
The focus of this resource is cell homeostasis and, more specifically, osmosis. Students investigate the concept through a virtual lab, recording and analyzing data, creating sketches to represent vocabulary, and discovering the role of aquaporins in water transport through the cell membrane.