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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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Study Edge Statistics

In Statistics, students build on the mathematics knowledge and skills from Kindergarten–grade 8 and Algebra I, broadening their knowledge of variability and statistical processes. Students will study sampling and experimentation, categorical and quantitative data, probability and random variables, inference, and bivariate data. Students will connect data and statistical processes to real-world situations and extend their knowledge of data analysis (TAC §111.47(b)(3)).

This video book is brought to you by TEA and Study Edge. It may be used to teach an entire Statistics course or to supplement traditional Statistics textbooks.

This open-education-resource instructional material by TEA is licensed under a Creative Commons Attribution 4.0 International Public License in accordance with Chapter 31 of the Texas Education Code.

Please provide feedback on Study Edge's open-education-resource instructional materials.

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Study Edge Precalculus

Precalculus is the preparation for calculus. The course approaches is designed to strengthen and enhance conceptual understanding and mathematical reasoning used when modeling and solving mathematical and real-world problems. Students systematically work with functions and their multiple representations. Precalculus can deepen students' mathematical understanding and fluency with algebra and trigonometry and extends their ability to make connections and apply concepts and procedures at higher levels. Students will investigate and explore mathematical ideas, develop multiple strategies for analyzing complex situations, and use technology to build understanding, make connections between representations, and provide support in solving problems (TAC §111.42(b)(3)).

This video book is brought to you by TEA and Study Edge. It may be used to teach an entire Precalculus course or to supplement traditional Precalculus textbooks.

This open-education-resource instructional material by TEA is licensed under a Creative Commons Attribution 4.0 International Public License in accordance with Chapter 31 of the Texas Education Code.

Please provide feedback on Study Edge's open-education resource instructional materials.

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TEA Statistics

*Statistics* covers the scope and sequence requirements of a typical one-year statistics course. The text provides

comprehensive coverage of statistical concepts, including quantitative examples, collaborative activities, and practical

applications. *Statistics* was designed to meet and exceed the requirements of the relevant Texas Essential

Knowledge and Skills (TEKS), while allowing significant flexibility for instructors. Content requirements for *Statistics* are prescribed in “Chapter 111. Texas Essential Knowledge and Skills for Mathematics, Subchapter C. High School, 111.47. Statistics, Adopted 2015” (http://ritter.tea.state.tx.us/rules/tac/chapter111/ch111c.html#111.47).

This open-education-resource instructional material by TEA is licensed under a Creative Commons Attribution 4.0 International Public License in accordance with Chapter 31 of the Texas Education Code.

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2.07 Lurking and Confounding Variables

In this video, students learn the difference between lurking and confounding variables and how they affect results.

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2.08 Generalizability of Results and Conclusions

In this video, students learn how to interpret results and draw conclusions based on them.

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6.01 Probability and the Law of Large Numbers

In this video, students are introduced to the concept of probability using the Law of Large Numbers.

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6.02 Probability Terminology

In this video, students learn key terminology associated with probability.

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6.03 Venn Diagrams

In this video, students represent and calculate probabilities using Venn diagrams.

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6.04 Independent and Mutually Exclusive Events

In this video, students calculate probabilities for independent events and mutually exclusive events.

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6.05 Contingency Tables

In this video, students calculate probabilities using a two-way contingency table.

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6.06 Tree Diagrams

In this video, students calculate conditional probabilities using a tree diagram.

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6.07 Discrete Random Variables

In this video, students are introduced to discrete random variables.

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6.08 The Binomial Distribution

In this videos, students use the binomial distribution to find the expected value, variance, and probabilities associated with a binomial random variable.

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6.09 Binomial Approximation

In this videos, students approximate the binomial distribution with the normal distribution for large samples.

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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.

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5.02 Linear and Angular Velocity

In this video, students will learn about angular and linear velocity and how each relates to unit conversions.

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5.03 Trigonometric Ratios

In this video, we will define the trigonometric ratios in terms of the sides of a right triangle.

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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.

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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.