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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.
5.01 Radians and Degree Measurements
In this video, students will learn the basics of angle measurements, definitions of various types of angles, radians and degrees, along with arc length and area of a sector.
5.02 Linear and Angular Velocity
In this video, students will learn about angular and linear velocity and how each relates to unit conversions.
5.03 Trigonometric Ratios
In this video, we will define the trigonometric ratios in terms of the sides of a right triangle.
5.04 Trigonometric Angles and the Unit Circle
In this video, students will learn special angles and the unit circle, and learn how to apply them.
5.05 Graphs of Sine and Cosine
In this video, students will learn how to graph sine and cosine and how to interpret graphs of sine and cosine.
5.06 Graphs of Secant and Cosecant
In this video, students will learn how to graph and interpret graphs of secant and cosecant, and how secant and cosecant relate to sine and cosine.
5.07 Graphs of Tangent and Cotangent
In this video, students will learn how to graph and how to interpret graphs of tangent and cotangent.
5.08 Inverse Trigonometric Functions and Graphs
In this video, students will explore the relationship between trigonometric functions and their inverses.
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.
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.
Learners compare a variety of prokaryotes and eukaryotes to determine similarities and differences among and between them.
Monohybrid and Dihybrid Crosses
Learners calculate the probability of genotypic inheritance and phenotypic expression using mono- and dihybrid crosses.
Mechanisms of Evolution Beyond Natural Selection
Learners analyze and evaluate the effects of other evolutionary mechanisms.
Evidence for Evolution
Learners analyze and evaluate how evidence of common ancestry among groups is provided by the fossil record, biogeography, and homologies, including anatomical, molecular, and developmental.
8.01 Conic Sections
In this video, students will learn the definition of a double-napped cone, and how conic sections are formed at the intersection of a plane and a double-napped cone.
In this video, students will learn the analytic definition of an ellipse, the standard form of the equation of an ellipse, and how to graph ellipses.