Students use inequalities to solve real-world problems. They see that the solution …
Students use inequalities to solve real-world problems. They see that the solution of the algebraic inequality may differ from the solution to the problem it represents. For example, a fractional number or a negative number may not be an appropriate solution for a word problem.Students complete a Self Check. They are given an algebraic inequality that they need to solve. They then write and solve a word problem that the inequality could represent.Key ConceptsIn this lesson, students write and solve an algebraic inequality that matches a situation given in a word problem. They then interpret that algebraic solution in the context of the problem. For example, students write and solve an algebraic inequality to represent the number of T-shirts that can be bought given a certain amount of money and another purchase. The inequality produces the solution t < 2.5. Since a fractional part of a T-shirt does not make sense, students reason that 2 is the greatest number of T-shirts that can be purchased.Goals and Learning ObjectivesInterpret the solution to an algebraic inequality within the context of a word problem.
Intermediate Algebra is the second part of a two-part course in Algebra. …
Intermediate Algebra is the second part of a two-part course in Algebra. Written in a clear and concise manner, it carefully builds on the basics learned in Elementary Algebra and introduces the more advanced topics required for further study of applications found in most disciplines. Used as a standalone textbook, it offers plenty of review as well as something new to engage the student in each chapter. Written as a blend of the traditional and graphical approaches to the subject, this textbook introduces functions early and stresses the geometry behind the algebra. While CAS independent, a standard scientific calculator will be required and further research using technology is encouraged.
Intermediate Algebra clearly lays out the steps required to build the skills needed to solve a variety of equations and interpret the results. With robust and diverse exercise sets, students have the opportunity to solve plenty of practice problems. In addition to embedded video examples and other online learning resources, the importance of practice with pencil and paper is stressed. This text respects the traditional approaches to algebra pedagogy while enhancing it with the technology available today. In addition, Intermediate Algebra was written 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.
The importance of Algebra cannot be overstated; it is the basis for all mathematical modeling used in all disciplines. After completing a course sequence based on Elementary and Intermediate Algebra, students will be on firm footing for success in higher-level studies at the college level.
CK-12 Foundation's Algebra I Teacher's Edition FlexBook complements CK-12's Algebra I Student …
CK-12 Foundation's Algebra I Teacher's Edition FlexBook complements CK-12's Algebra I Student Edition. The solution and assessment guides are available upon request.
Elementary Algebra is designed to meet the scope and sequence requirements of …
Elementary Algebra is designed to meet the scope and sequence requirements of a one-semester elementary algebra course. The book’s organization makes it easy to adapt to a variety of course syllabi. The text expands on the fundamental concepts of algebra while addressing the needs of students with diverse backgrounds and learning styles. Each topic builds upon previously developed material to demonstrate the cohesiveness and structure of mathematics.
Algebra I is the first semester of a year-long introduction to modern …
Algebra I is the first semester of a year-long introduction to modern algebra. Algebra is a fundamental subject, used in many advanced math courses and with applications in computer science, chemistry, etc. The focus of this class is studying groups, linear algebra, and geometry in different forms. These notes, which were created by students in a recent on-campus 18.701 Algebra I class, are offered here to supplement the materials included in OCW’s version of 18.701. They have not been checked for accuracy by the instructors of that class or by other MIT faculty members.
Short Description: This textbook is aligned with the British Columbia Adult Basic …
Short Description: This textbook is aligned with the British Columbia Adult Basic Education learning outcomes for Mathematics: Intermediate Level Algebra. The textbook introduces the fundamental concepts of algebra, geometry, and trigonometry while addressing the needs of students with diverse backgrounds and learning styles. Each topic builds upon previously developed material to demonstrate the cohesiveness and structure of mathematics.
Long Description: This textbook is the second part of three texts that are aligned with the British Columbia Adult Basic Education learning outcomes for Mathematics: Intermediate Level Algebra. The textbook focuses on topics: Ratio, Proportion, and Percent, Measurement, Perimeter, Area, and Volume and Trigonometry, while addressing the needs of students with diverse backgrounds and learning styles. Each topic builds upon previously developed material to demonstrate the cohesiveness and structure of mathematics.
Word Count: 48093
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Vakinhoud: - Leren rekenen met vectoren en matrices. - De methode van …
Vakinhoud: - Leren rekenen met vectoren en matrices. - De methode van rijreductie voor het oplossen van lineaire systemen. - De begrippen lineair onafhankelijk, span en basis - Elementaire lineaire transformaties, de begrippen surjectief en injectief. - De begrippen deelruimte, basis en dimensie en voorbeelden hiervan. - Eigenwaardes en eigenvectoren van een matrix. - Dit vak is een combinatie van de vakken Lineaire Algebra 1 en Lineaire Algebra 2 die bij andere TU-opleidingen aangeboden worden.
Leerdoelen: - Het kennen van basisbegrippen, het gebruik van basismethodes. - Het maken van logische afleidingen met behulp van deze begrippen en methodes
This is a complete, full-year Algebra 1 course with tons of interactivity …
This is a complete, full-year Algebra 1 course with tons of interactivity included in every lesson. Some lessons include videos, and all include interactives and newly added inline questions. Inline questions offer instant, per-answer feedback to help you learn by knowing why your answers are correct or incorrect. Every lesson also has specifically chosen 'Related Modalities' that teach the same concept in different ways. Related Modalities may be additional videos, interactives, or study guides (often written by students themselves). You can choose to use the resources directly embedded within the Algebra 1 FlexBook® 2.0 lessons, or learn Algebra your way by using the Related Modalities that are most effective for you!
Short Description: This textbook is aligned with the British Columbia Adult Basic …
Short Description: This textbook is aligned with the British Columbia Adult Basic Education learning outcomes for Mathematics: Intermediate Level Algebra. The textbook introduces the fundamental concepts of algebra, geometry, and trigonometry while addressing the needs of students with diverse backgrounds and learning styles. Each topic builds upon previously developed material to demonstrate the cohesiveness and structure of mathematics.
Long Description: This textbook is the second part of three texts that are aligned with the British Columbia Adult Basic Education learning outcomes for Mathematics: Intermediate Level Algebra. The textbook focuses on topics: Solving First Degree Equations in One Variable, Linear Equations and Graphing, Powers, Roots, and Scientific Notation, and Polynomials, while addressing the needs of students with diverse backgrounds and learning styles. Each topic builds upon previously developed material to demonstrate the cohesiveness and structure of mathematics.
Word Count: 84157
(Note: This resource's metadata has been created automatically by reformatting and/or combining the information that the author initially provided as part of a bulk import process.)
Matrix Algebra with Computational Applications is a collection of Open Educational Resource …
Matrix Algebra with Computational Applications is a collection of Open Educational Resource (OER) materials designed to introduce students to the use of Linear Algebra to solve real-world problems. These materials were developed specifically for students and instructors working in a "flipped classroom" model that emphasizes hands-on problem-solving activities during class meetings, with students watching lectures and completing readings and assignments outside of the classroom. To access the Matrix Algebra with Computational Applications website, please go to http://colbrydi.github.io/MatrixAlgebra
Students will study polynomials and factoring; roots; radical and rational expressions and …
Students will study polynomials and factoring; roots; radical and rational expressions and equations; functions and their graphs; quadratic equations, complex numbers and parabolas. Applications in these areas will be covered. Use of graphing utilities will also be explored.
Algebra and Trigonometry 2e provides a comprehensive exploration of mathematical principles and meets …
Algebra and Trigonometry 2e provides a comprehensive exploration of mathematical principles and meets scope and sequence requirements for a typical introductory algebra and trigonometry course. The modular approach and the richness of content ensure that the book addresses the needs of a variety of courses. Algebra and Trigonometry 2e offers a wealth of examples with detailed, conceptual explanations, building a strong foundation in the material before asking students to apply what they’ve learned.Attribution: This work "Algebra and Trigonometry, 2e" by Jay Abramson is licensed under a Creative Commons Attribution 4.0 International License, except where otherwise noted.
Guttman Edition Short Description: Note: This OpenStax book was imported into Pressbooks …
Guttman Edition
Short Description: Note: This OpenStax book was imported into Pressbooks on August 7, 2019, to make it easier for instructors to edit, build upon, and remix the content. The OpenStax import process isn't perfect, so there are a number of formatting errors in the book that need attention. As such, we don't recommend you use this book in the classroom. This also means that, while the original version of this book is accessible, this Pressbooks copy is not. For information about how to get your own copy of this book to work on, see the Add Content part in the Pressbooks Guide. You can access the original version of this textbook here: Algebra and Trigonometry: OpenStax.
Long Description: Algebra and Trigonometry provides a comprehensive exploration of algebraic principles and meets scope and sequence requirements for a typical introductory algebra and trigonometry course. The modular approach and the richness of content ensure that the book meets the needs of a variety of courses. Algebra and Trigonometry offers a wealth of examples with detailed, conceptual explanations, building a strong foundation in the material before asking students to apply what they’ve learned.
Word Count: 336582
(Note: This resource's metadata has been created automatically as part of a bulk import process by reformatting and/or combining the information that the author initially provided. As a result, there may be errors in formatting.)
Algebra and Trigonometry provides a comprehensive exploration of algebraic principles and meets …
Algebra and Trigonometry provides a comprehensive exploration of algebraic principles and meets scope and sequence requirements for a typical introductory algebra and trigonometry course. The modular approach and the richness of content ensures that the book meets the needs of a variety of courses. Algebra and Trigonometry offers a wealth of examples with detailed, conceptual explanations, building a strong foundation in the material before asking students to apply what they’ve learned.
This course covers the applications of algebra to combinatorics. Topics include enumeration …
This course covers the applications of algebra to combinatorics. Topics include enumeration methods, permutations, partitions, partially ordered sets and lattices, Young tableaux, graph theory, matrix tree theorem, electrical networks, convex polytopes, and more.
Algebra II is the second semester of a year-long introduction to modern …
Algebra II is the second semester of a year-long introduction to modern algebra. The course focuses on group representations, rings, ideals, fields, polynomial rings, modules, factorization, integers in quadratic number fields, field extensions, and Galois theory. These notes, which were created by students in a recent on-campus 18.702 Algebra II class, are offered here to supplement the materials included in OCW’s version of 18.702. They have not been checked for accuracy by the instructors of that class or by other MIT faculty members.
Build rectangles of various sizes and relate multiplication to area. Discover new …
Build rectangles of various sizes and relate multiplication to area. Discover new strategies for multiplying algebraic expressions. Use the game screen to test your multiplication and factoring skills!
This text is intended for a one- or two-semester undergraduate course in …
This text is intended for a one- or two-semester undergraduate course in abstract algebra. Traditionally, these courses have covered the theoretical aspects of groups, rings, and fields. However, with the development of computing in the last several decades, applications that involve abstract algebra and discrete mathematics have become increasingly important, and many science, engineering, and computer science students are now electing to minor in mathematics. Though theory still occupies a central role in the subject of abstract algebra and no student should go through such a course without a good notion of what a proof is, the importance of applications such as coding theory and cryptography has grown significantly.
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