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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.

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8 Chapter 5: Introduction to Trigonometry and Graphs

In this chapter, we will explore angle measures and the trigonometric ratios, including graphing and inverses.

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5 Chapter 7: Sequences and Series

In this chapter, we introduce sequences and series, some of their applications, and the Binomial Theorem.

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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.

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6 Chapter 2: Polynomial and Rational Functions

In this chapter, we will explore beyond linear functions and learn about polynomial and rational functions.

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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.

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7 Chapter 8: Conic Sections, Parametric Equations, and Polar Coordinates

In this chapter, we introduce conic sections, parametric equations, and polar coordinates.

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5 Chapter 1: Introduction to Functions and Graphs

In this chapter, students are introduced to lines, functions, and graphs of functions.

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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.

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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.

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Equipment for Biology

Given investigation scenarios, students will determine the equipment that best fits the procedure.

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Cell Processes: Fermentation

Given descriptions or illustrations, students will identify where fermentation occurs and the results of fermentation.

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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.

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Mechanisms of Genetics: DNA Changes

Given illustrations or partial DNA sequences, students will identify changes in DNA and the significance of these changes.

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Cell Specialization and Differentiation

Given examples, descriptions, and illustrations, students will be able to describe the role of DNA, RNA, and environmental factors in cell differentiation.

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Survival of a Species

Given scenarios, illustrations or descriptions, the student will describe how long-term survival of species is dependent on changing resource bases that are limited.

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Protein Synthesis

The learner explores the structure and function of the nucleic acids and enzymes important to the process of synthesizing proteins.

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Taxonomy Standards

Given examples, students will recognize the importance of taxonomy to the scientific community.

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Taxonomy: Major Groups

Given illustrations or descriptions, students will determine the classification of organisms into domains and kingdoms.

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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.