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Elementary Algebra
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This text respects the traditional approaches to algebra pedagogy while enhancing it ... More

This text respects the traditional approaches to algebra pedagogy while enhancing it with the technology available today. In addition, textual notation is introduced as a means to communicate solutions electronically throughout the text. While it is important to obtain the skills to solve problems correctly, it is just as important to communicate those solutions with others effectively in the modern era of instant communications.While algebra is one of the most diversely applied subjects, students often find it to be one of the more difficult hurdles in their education. With this in mind, John wrote Elementary Algebra from the ground up in an open and modular format, allowing the instructor to modify it and leverage their individual expertise as a means to maximize the student experience and success. Elementary Algebra takes the best of the traditional, practice-driven algebra texts and combines it with modern amenities to influence learning, like online/inline video solutions, as well as, other media driven features that only a free online text can deliver. Less

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Subject:
Algebra
Material Type:
Full Course
Textbooks
Provider:
University of Minnesota
Provider Set:
University of Minnesota - Open Academics Textbooks
Author:
John Redden
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Understanding Algebra
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The complete contents of this algebra textbook are available here online. This ... More

The complete contents of this algebra textbook are available here online. This text is suitable for high-school Algebra I, preparing for the GED, a refresher for college students who need help preparing for college-level mathematics, or for anyone who wants to learn introductory algebra. I am especially pleased to help homeschoolers. Includes a graphing applet, a prime factorization machine, and a prime number list. Brennan uses inserts to answer common questions as the lesson goes on, helping the student master new ideas. A printable version is also available on the website. This resource is part of the Teaching Quantitative Skills in the Geosciences collection. http://serc.carleton.edu/quantskills/ Less

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Subject:
Education
Algebra
Material Type:
Textbooks
Provider:
Internet Scout Project
SERC at Carlton College
Provider Set:
Internet Scout Project
NAGT Cutting Edge (SERC)
Author:
James Brennan
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Elementary Algebra
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Elementary Algebra is a work text that covers the traditional topics studied ... More

Elementary Algebra is a work text that covers the traditional topics studied in a modern elementary algebra course. It is intended for students who (1) have no exposure to elementary algebra, (2) have previously had an unpleasant experience with elementary algebra, or (3) need to review algebraic concepts and techniques. Less

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Subject:
Algebra
Material Type:
Full Course
Textbooks
Provider:
Rice University
Provider Set:
Connexions
Author:
Denny Burzynski
Wade Ellis
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Introductory Linear Algebra
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Open text, part of Lyryx Service Course Solutions (LSCS) offering a complete ... More

Open text, part of Lyryx Service Course Solutions (LSCS) offering a complete & customized content and support service adapted to your introductory service courses. LSCS includes an open text, formative online assessment, course supplements, and support to both the students and instructors. This course is an introduction to linear algebra. The emphasis in this course is on problems—doing calculations and story problems. To master problem solving one needs a tremendous amount of practice doing problems. The more problems you do the better you will be at doing them, as patterns will start to emerge in both the problems and in successful approaches to them. You will learn quickly and effectively if you devote some time to doing problems every day. Less

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Mathematics
Algebra
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Homework and Assignments
Instructional Material
Lecture Notes
Textbooks
Provider:
Lyryx Learning
Author:
Adapted by Lyryx Learning
K. Kuttler
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Algebra
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This course discusses how to use algebra for a variety of everyday ... More

This course discusses how to use algebra for a variety of everyday tasks, such as calculate change without specifying how much money is to be spent on a purchase, analyzing relationships by graphing, and describing real-world situations in business, accounting, and science. Less

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Subject:
Algebra
Material Type:
Activities and Labs
Full Course
Homework and Assignments
Readings
Syllabi
Provider:
The Saylor Foundation
Provider Set:
Saylor Foundation
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CC Tasks: Aussie Fir Tree (HS Algebra)
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Task Description: This task asks students to recognize geometric patterns, visualize and ... More

Task Description: This task asks students to recognize geometric patterns, visualize and extend the pattern, generate a non-linear sequence, develop and algebraic generalization that models the growth of a quadratic function and verify the inverse relationship of the quadratic relationship. The Aussie Fir Tree task is a culminating task for a 2-3 week unit on algebra that uses the investigation of growing patterns as a vehicle to teach students to visualize, identify and describe real world mathematical relationships. Students who demonstrate mastery of the unit are able to solve the Aussie Fir Tree task in one class period. Less

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Subject:
Algebra
Material Type:
Assessments
Lesson Plans
Provider:
The New York City Department of Education
Provider Set:
New York City Department of Education
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Algebra
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In this video, we explore some concepts fundamental to algebra. To streamline ... More

In this video, we explore some concepts fundamental to algebra. To streamline the discussion of relationships between physical quantities, we introduce variables, functions, composition, and inverse. By thinking about the concept of an inverse function, we obtain our first glimpse of the imaginary root (i.e. square-root of -1) and the complex plane. Less

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Subject:
Mathematics
Algebra
Material Type:
Instructional Material
Lecture Notes
Provider:
Look At Physics
Provider Set:
A Mathematical Way to Think About Biology
Author:
David Liao
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Lie Algebras
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This book addresses the following topics: The Campbell Baker Hausdor formula; sl(2) ... More

This book addresses the following topics: The Campbell Baker Hausdor formula; sl(2) and its Representations; classical simple algebras; Engel-Lie-Cartan-Weyl; conjugacy of Cartan subalgebras; simple finite dimensional algebras; cyclic highest weight modules; Serre's theorem; Clifford algebras and spin representations; The Kostant Dirac operator; The center of U(g); and Chevalley's theorem. Less

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Subject:
Algebra
Material Type:
Textbooks
Provider:
Harvard University
Provider Set:
Harvard University Mathematics Department
Author:
Shlomo Sternberg
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Algebra
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InterMath is a professional development effort designed to support teachers in becoming ... More

InterMath is a professional development effort designed to support teachers in becoming better mathematics educators. It focuses on building teachers' mathematical content knowledge through mathematical investigations that are supported by technology. InterMath includes a workshop component and materials to support instructors. For each of the following problems, consider how you would pose the same problem to your students. Would the wording need to change? Would you need to include more pictures? More detailed pictures? But remember we don't want to do TOO MUCH for the student. If we provide too much information, they will not need to think about what the question is asking. Less

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Subject:
Algebra
Material Type:
Activities and Labs
Teaching and Learning Strategies
Provider:
University of Georgia
Provider Set:
University of Georgia
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Algebra Four
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Students play a generalized version of connect four, gaining the chance to ... More

Students play a generalized version of connect four, gaining the chance to place a piece on the board by solving an algebraic equation. Parameters: Level of difficulty of equations to solve and type of problem. Algebra Four is one of the Interactivate assessment games. Less

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Subject:
Computer Science
Education
Mathematics
Algebra
Functions
Material Type:
Activities and Labs
Assessments
Games
Images and Illustrations
Instructional Material
Interactive
Lesson Plans
Simulations
Student Guide
Provider:
NSDL Staff
Shodor
SMARTR
Provider Set:
NSDL Math Common Core
CSERD: Computational Science Education Reference Desk
SMARTR: Virtual Learning Experiences for Youth
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Abstract Algebra
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Algebra is the language of modern mathematics. This course introduces students to ... More

Algebra is the language of modern mathematics. This course introduces students to that language through a study of groups, group actions, vector spaces, linear algebra, and the theory of fields. Less

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Subject:
Algebra
Material Type:
Audio Lectures
Video Lectures
Provider:
Harvard University
Provider Set:
Harvard Extension School
Author:
Benedict Gross
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Intermediate Algebra
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This course is a continuation of MA001: Beginning Algebra, and will focus ... More

This course is a continuation of MA001: Beginning Algebra, and will focus on compound inequalities, systems of linear equations, radicals, rational exponents, quadratic equations and techniques used to solve these equations, and finally, general functions and graphs with an emphasis on the exponential and logarithmic functions. Less

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Subject:
Algebra
Material Type:
Activities and Labs
Full Course
Homework and Assignments
Readings
Syllabi
Provider:
The Saylor Foundation
Provider Set:
Saylor Foundation
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College Algebra
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College Algebra is an introductory text for a college algebra survey course. ... More

College Algebra is an introductory text for a college algebra survey course. The material is presented at a level intended to prepare students for Calculus while also giving them relevant mathematical skills that can be used in other classes. The authors describe their approach as "Functions First," believing introducing functions first will help students understand new concepts more completely. Each section includes homework exercises, and the answers to most computational questions are included in the text (discussion questions are open-ended). Less

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Subject:
Algebra
Material Type:
Textbooks
Provider:
University of Minnesota
Provider Set:
University of Minnesota - Open Academics Textbooks
Author:
Carl Stitz
Jeff Zeager
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Linear Algebra
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When I started teaching this subject I found three kinds of texts. ... More

When I started teaching this subject I found three kinds of texts. There were applications books that avoid proofs and cover the linear algebra only as needed for their applications. There were advanced books that assume that students can understand their elegant proofs and know how to answer the homework questions having seen only one or two examples. And, there were books that spend a good part of the semester multiplying matrices and computing determinants and then suddenly change level to working with definitions and proofs. In my classroom each of these types was a problem. The applications were interesting but I wanted to focus on the linear algebra. The advanced books were beautiful but my students were not ready for them. And the level-switching books resulted in a lot of grief: students estimated that these were like calculus books, where there is material labeled `proof' that can skipped in favor of computations, and when the level switched no amount of prompting by me could convince them otherwise. That is, my students cannot now perform at the level assumed by the advanced books. But my goal is to work steadily to have them come up to that level over the undergraduate program. This course is a great place to make progress on this goal. This goal leads straight to a number of tasks. It means first that we must prove things. It means also that we must step away from the rote computations of the applications books in favor of understanding the concepts (for instance, students must understand matrix-vector multiplication as representing the application of a linear function). But, it means also being sure that the approach is not too advanced for the current level of the students: the presentation must emphasize motivation and naturalness, have many examples, and have many exercises, particularly the medium-difficult questions that challenge a learner without overwhelming them. Less

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Subject:
Algebra
Material Type:
Homework and Assignments
Textbooks
Provider:
Saint Michael's College
Provider Set:
Saint Michael's College
Author:
HefferonJim
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Beginning Algebra
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This course is also intended to provide the student with a strong ... More

This course is also intended to provide the student with a strong foundation for intermediate algebra and beyond. Upon successful completion of this course, you will be able to: simplify and solve linear equations and expressions including problems with absolute values and applications; solve linear inequalities; find equations of lines; and solve application problems; add, subtract, multiply, and divide various types of polynomials; factor polynomials, and simplify square roots; evaluate, simplify, multiply, divide, add, and subtract rational expressions, and solve basic applications of rational expressions. This free course may be completed online at any time. It has been developed through a partnership with the Washington State Board for Community and Technical Colleges; the Saylor Foundation has modified some WSBCTC materials. (Mathematics 001) Less

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Subject:
Algebra
Material Type:
Assessments
Full Course
Homework and Assignments
Readings
Syllabi
Textbooks
Video Lectures
Provider:
The Saylor Foundation
Provider Set:
Saylor Foundation
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Algebra 2
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This is a book containing over 200 problems spanning over 70 specific ... More

This is a book containing over 200 problems spanning over 70 specific topic areas covered in a typical Algebra II course. Learners can encounter a selection of application problems featuring astronomy, earth science and space exploration, often with more than one example in a specific category. Learners will use mathematics to explore science topics related to a wide variety of NASA science and space exploration endeavors. Each problem or problem set is introduced with a brief paragraph about the underlying science, written in a simplified, non-technical jargon where possible. Problems are often presented as a multi-step or multi-part activities. This book can be found on the Space Math@NASA website. Less

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Subject:
Mathematics
Algebra
Physics
Material Type:
Assessments
Instructional Material
Lecture Notes
Provider:
NASA
Provider Set:
NASA Wavelength
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.)310.1( tcejbus ngised enotspac eht dna )150.1 ,140.1 ,130.1( stcejbus ngised aera ... More

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