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.
8.02 Ellipses
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.
8.03 Hyperbolas
In this video, students will learn the analytic definition of a hyperbola, the standard form of the equation of a hyperbola, and how to graph hyperbolas.
8.05 Polar Coordinates and Equations
In this video, students will learn about the polar coordinate system and how to convert to and from the rectangular coordinate system.
8.06 Polar Graphs
In this video, students will learn how to graph polar curves.
8.07 Special Polar Graphs
In this video, students will learn the equations and graphs of special polar curves.
8.04 Parametric Equations
In this video, students will learn about parametric equations, how to sketch parametric curves, and the differences between parametric curves and rectangular graphs.
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.
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.
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TEA AP® Physics 2: Algebra-Based
AP® Physics is the result of an effort to better serve teachers and students. The textbook focuses on the College Board’s AP® framework concepts and practices.
The AP® Physics curriculum framework outlines the two full-year physics courses AP® Physics 1: Algebra-Based and AP® Physics 2: Algebra-Based. These two courses focus on the big ideas typically included in the first and second semesters of an algebra-based, introductory college-level physics course. They provide students with the essential knowledge and skills required to support future advanced coursework in physics. The AP® Physics 1 curriculum includes mechanics, mechanical waves, sound, and electrostatics. The AP® Physics 2 curriculum focuses on thermodynamics, fluid statics, dynamics, electromagnetism, geometric and physical optics, quantum physics, atomic physics, and nuclear physics. AP® Science Practices emphasize inquiry-based learning and development of critical thinking and reasoning skills. Inquiry-based learning involves exploratory learning as a way to gain new knowledge. Students begin by making an observation regarding a given physics topic. Students then explore that topic using scientific methodology, as opposed to simply being told about it in lecture. In this way, students learn the content through self-discovery rather than memorization.
The AP® framework has identified seven major science practices, which are described using short phrases that include using representations and models to communicate information and solve problems, using mathematics appropriately, engaging in questioning, planning and implementing data collection strategies, analyzing and evaluating data, justifying scientific explanations, and connecting concepts. The AP® framework’s Learning Objectives merge content with one or more of the seven science practices that students should develop as they prepare for the AP® Physics exam. Each chapter of AP® Physics begins with a “Connection for AP® Courses” that explains how the content in the chapter sections align to the Big Ideas, Enduring Understandings, Essential Knowledge, and Learning Objectives of the AP® framework. These sections help students quickly and easily locate where components of the AP® framework are covered in the book, as well as clearly indicate material that, although interesting, exceeds the scope of the AP® framework. Content requirements for AP® Physics are prescribed in the College Board Publication Advanced Placement Course Description: Physics, published by The College Board (http://ritter.tea.state.tx.us/rules/tac/chapter112/ch112d.html#112.64) and (http://ritter.tea.state.tx.us/rules/tac/chapter112/ch112d.html#112.65).
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.
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.