Tangent and Cotangent Functions - period, phase-shift, periodic functions, asymptotes, sine and cosine functionsTMM 002 PRECALCULUS (Revised March 21, 2017)1. Functions: 1a. Analyze functions. Routine analysis includes discussion of domain, range, zeros, general function behavior (increasing, decreasing, extrema, etc.), as well as periodic characteristics such as period, frequency, phase shift, and amplitude. In addition to performing rote processes, the student can articulate reasons for choosing a particular process, recognize function families and anticipate behavior, and explain the implementation of a process (e.g., why certain real numbers are excluded from the domain of a given function).*

Law of SinesTMM 002 PRECALCULUS (Revised March 21, 2017)2c. Analyze general triangles. Routine analysis of side lengths and angle measurements using trigonometric ratios/functions, as well as other relationships.*Sample Tasks:The student can solve general triangles using trigonometric ratios and relationships including laws of sine and cosine.The student can compare similar triangles.The student can compute length and angle measurements inside complex drawings involving multiple geometric objects.The student can algebraically describe relationships inside complex drawings involving multiple geometric objects.

Vectors - dot product, projection, decomposition of a vectorTMM 002 PRECALCULUS (Revised March 21, 2017)AdditionalOptional Learning Outcomes:2. Geometry: The successful Precalculus student can:2e. Interpret the result of vector computations geometrically and within the confines of a particular applied context (e.g., forces).Sample Tasks:The student can define vectors, their arithmetic, their representation, and interpretations.The student can decompose vectors into normal and parallel components.The student can interpret the result of a vector computation as a change in location in the plane or as the net force acting on an object.

Vectors - magnitude, direction, component form, trigonometric form, unit vector, algebra of vectors, applications,TMM 002 PRECALCULUS (Revised March 21, 2017)AdditionalOptional Learning Outcomes:2. Geometry: The successful Precalculus student can:2e. Interpret the result of vector computations geometrically and within the confines of a particular applied context (e.g., forces).Sample Tasks:The student can define vectors, their arithmetic, their representation, and interpretations.The student can decompose vectors into normal and parallel components.The student can interpret the result of a vector computation as a change in location in the plane or as the net force acting on an object.

Ellipse - conic section, foci, major and minor axes, vertices, standard form, eccentricityTMM 002 PRECALCULUS (Revised March 21, 2017)AdditionalOptional Learning Outcomes:2. Geometry: The successful Precalculus student can:2f. Represent conic sections algebraically via equations of two variables and graphically by drawing curves.Sample Tasks:The student can perform the process “completing the square” transforming the equation into a standard form.The student can draw curves representing conic sections.The student can solve systems of equations involving linear and quadratic functions.The student can parametrize conic curves.

Hyperbola - conic section, foci, transverse and conjugate axes, vertices, asymptotes, standard formTMM 002 PRECALCULUS (Revised March 21, 2017)AdditionalOptional Learning Outcomes:2. Geometry: The successful Precalculus student can:2f. Represent conic sections algebraically via equations of two variables and graphically by drawing curves.Sample Tasks:The student can perform the process “completing the square” transforming the equation into a standard form.The student can draw curves representing conic sections.The student can solve systems of equations involving linear and quadratic functions.The student can parametrize conic curves.

Parabola - conic section, focus, directrix, focal length, standard form, vertex form, completing the square method.TMM 002 PRECALCULUS (Revised March 21, 2017)AdditionalOptional Learning Outcomes:2. Geometry: The successful Precalculus student can:2f. Represent conic sections algebraically via equations of two variables and graphically by drawing curves.Sample Tasks:The student can perform the process “completing the square” transforming the equation into a standard form.The student can draw curves representing conic sections.The student can solve systems of equations involving linear and quadratic functions.The student can parametrize conic curves.

This book aims to provide an overview of theoretical and practical considerations in terms of self-directed multimodal learning within the university context. Multimodal learning is approached in terms of the levels of multimodality and specifically blended learning and the mixing of modes of delivery (contact and distance education). As such, this publication will provide a unique snapshot of multimodal practices within higher education through a self-directed learning epistemological lens. The book covers issues such as what self-directed multimodal learning entails, mapping of specific publications regarding blended learning, blended learning in mathematics, geography, natural science and computer literacy, comparative experiences in distance education as well as situated and culturally appropriate learning in multimodal contexts.

This book provides a unique focus on multimodality in terms of learning and delivery within the context of self-directed learning. Therefore, the publication would not only advance the scholarship of blended and open distance learning in South Africa, but also the contribute to enriching the discourse regarding self-direction. From this book readers will get an impression of the latest trends in literature in terms of multimodal self-directed learning in South Africa as well as unique empirical work being done in this regard.

During the 83rd Texas Legislature, Regular Session, the Texas Higher Education Coordinating Board (THECB) was directed to undertake a study with the Virtual College of Texas (VCT) on the availability and use of open educational resources (OER) as described in Section 52 of the General Appropriations Act. Section 52. The 2014 report includes recommendations related to the following areas:
- professional development programs to support faculty at institutions of higher education in using OER
-how to establish a statewide digital repository for all OER developed with state funds
-methods for encouraging the use of OER at public and private institutions of higher education

This module was created in response to an observed need by BranchED and the module authors for efforts to increase the recognition, adaptation, and use of open educational resources (OER) among pre- and in-service teachers and the faculty who work in educator preparation programs. The module's purpose is to position teacher educators, teacher candidates and in-service teachers as empowered content creators. By explicitly teaching educators about content that has been licensed for re-use and informing them about their range of options for making their own works available to others, they will gain agency and can make inclusive and equity-minded decisions about curriculum content. The module provides instructional materials, resources, and activities about copyright, fair use, public domain, OER, and visual literacy to provide users with a framework for selecting, modifying, and developing curriculum materials.

A new law requires Texas colleges and universities to share information with students about courses that use open educational resources (OER). Now students should be able to search for courses that use only OER when they are registering for courses. This toolkit is a living document that can help Texas institutions implement course marking solutions. If your state or institution is considering similar policies, this toolkit can help you, too.

The toolkit became a collaborative book project in Summer 2018. The open access book, Marking Open and Affordable Courses: Best Practices and Case Studies (co-edited by Sarah Hare, Jessica Kirschner, and Michelle Reed), was published by Mavs Open Press in 2020.

Welcome to university! Whether this is your first time in post-secondary education, or whether you are returning to studies, you’re arriving with some goals you want to achieve. Perhaps you are taking a focused program to lead you into your desired career. Perhaps you are exploring courses in different areas, providing a foundation for future specialization. Wherever you are in your journey, you find yourself in a learning environment that is different from one you have experienced before.

A good foundation for university is learning how to learn. By taking the time to read this book and work through the exercises included, you are investing in the skills that will support you in all of your classes and future learning. Successful students share a set of skills and habits in common. The good news is that these skills are not a secret; anyone can learn the skills that support successful learning. By taking some time to learn proven study strategies, you will be able to reach your learning goals, and avoid the pitfalls that can take you off-track.