{"id":466,"date":"2014-09-29T16:02:01","date_gmt":"2014-09-29T16:02:01","guid":{"rendered":"https:\/\/community.oli.cmu.edu\/?page_id=466"},"modified":"2014-09-29T17:59:53","modified_gmt":"2014-09-29T17:59:53","slug":"beginning-algebra-module-systems-of-linear-equations-and-inequalities-in-two-variables","status":"publish","type":"page","link":"https:\/\/community.oli.cmu.edu\/about\/community-developed-courses\/beginning-algebra-module-systems-of-linear-equations-and-inequalities-in-two-variables\/","title":{"rendered":"Beginning Algebra Module: Systems of Linear Equations and Inequalities in Two Variables"},"content":{"rendered":"<div class=\"overview\"><a href=\"https:\/\/community.oli.cmu.edu\/?attachment_id=492\"><img decoding=\"async\" class=\"alignleft\" title=\"beg_alg_intro\" src=\"https:\/\/community.oli.cmu.edu\/wp-content\/uploads\/beg_alg_intro-300x128.png\" alt=\"Graph\" width=\"200\" \/><\/a><\/p>\n<h2>Beginning Algebra Module<a href=\"\/jcourse\/webui\/guest\/join.do?section=beginalgebra\" title=\"Look inside, no questions asked..\" class=\"enterCourse\" rel=\"tooltip\" data-original-title=\"Enter the Beginning Algebra Module: Systems of Linear Equations and Inequalities in Two Variables course\">[Enter Course]<\/a><\/h2>\n<h3>Overview:<\/h3>\n<p>This module is offered as an engaging tutorial for solving systems of linear equations and inequalities. Students will solve systems of linear equations and inequalities in two variables using a variety of methods: substitution, elimination, and graphing.<\/p>\n<p>This module is part of the course, Beginning Algebra, which is one of two courses in Essential Pre-College Math, a series of 16 self-paced online modules that cover topics ranging from basic number properties to factoring and graphing polynomials. The modules are designed to help students review or master content usually covered in Pre-Algebra and Algebra I courses taught in high school, while at the same time, presenting the material with authentic examples illustrating how mathematics is used in the various fields of study related to work for architectural engineering technicians or construction. A solid understanding of this level of mathematics is crucial, and a prerequisite, for enrolling and succeeding in college level mathematics courses required in the Architectural and Engineering Technology (AES) degree and certificate programs as well as in most other fields of study.<\/p>\n<\/div>\n<div class=\"addDetails\">\n<h2>Additional Course Details<\/h2>\n<dl>\n<dt>Topics Covered:<\/dt>\n<dd>\n<ul>\n<li>Section 1: Solving Systems of Linear Equations by the Graphing Method\n<ul>\n<li>Topic 1: The Intersection of Two Lines<\/li>\n<li>Topic 2: Use x- and y-Intercepts to Graph Multiple Equations on a Single Set of Coordinate Axes<\/li>\n<li>Topic 3: Use y=mx +b Form of Equations to Solve a System of Equations Graphically<\/li>\n<\/ul>\n<\/li>\n<li>Section 2: Solving Systems of Linear Equations by the Substitution Method\n<ul>\n<li>Topic 1: Using Direct Substitution<\/li>\n<li>Topic 2: Solving for one Variable to Use in Substitution<\/li>\n<li>Topic 3: Exceptional Cases Revisited<\/li>\n<\/ul>\n<\/li>\n<li>Section 3: Solving Systems of Linear Equations by the Elimination Method\n<ul>\n<li>Topic 1: Choosing a Variable to Eliminate<\/li>\n<li>Topic 2: Eliminating a Variable and using Back Substitution to Find the Solution<\/li>\n<li>Topic 3: Exceptional Cases Again<\/li>\n<li>Topic 4: Applications Involving Linear Systems of Equations<\/li>\n<\/ul>\n<\/li>\n<li>Section 4: Graphing Systems of Inequalities\n<ul>\n<li>Topic 1: Graphing Systems of Linear Inequalities<\/li>\n<li>Topic 2: Choosing a Test Point to Identify Solution Regions<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<\/dd>\n<dt>Estimated Time to Complete Course:<\/dt>\n<dd>This module is designed to be equivalent to one week of Beginning Algebra. It is estimated that it would take six to eight hours for a student to work through the entire module.<\/dd>\n<dt>Course Last Updated Date:<\/dt>\n<dd>September 2014<\/dd>\n<dt>Maintenance Fee (per student):<\/dt>\n<dd>Free for both independent learners and academic students.<\/dd>\n<\/dl>\n<\/div>\n<div class=\"addDetails\">\n<h2>In-Depth Description<\/h2>\n<p>The self-paced, modular structure of the course allows students to work on their areas of weakness without requiring them to spend time on material they have already mastered. Additionally, it allows students to improve their mastery of pre-college foundational math without the tuition cost normally associated with remedial mathematics courses. The content of each section is driven by a student-centered learning objective and has been made accessible for all learners.<\/p>\n<p>Along with expository text, equations, and graphs; videos, animations, interactive exercises, and self-assessments form the framework for students to actively engage in the mathematical concepts and processes delivered in this course. For example, students will actively encounter material through \u201cLearn by Doing\u201d activities that facilitate and support learning with hints and immediate, targeted feedback. Coupled with these activities are \u201cDid I Get This?\u201d self- assessments that give students the opportunity to gauge their understanding and application of the material in each section. The module begins with a scored pre-assessment and ends with a post-assessment, so that students can determine their own progress, mastery, and knowledge gains.<\/p>\n<\/div>\n<div class=\"addDetails\">\n<p><em>The project is funded by the US Department of Labor, TAACCCT (Trade Adjustment Assistance Community College and Career) program and 100% of the total cost of the online College Readiness Resources has been funded by federal money out of a $2.5 million TAACCCT Department of Labor project. However, these materials do not necessarily represent the policy of the Department of Labor or endorsement by the Federal Government. The TAACCCT grant is an equal opportunity program. Auxiliary aids and services are available upon request to individuals with disabilities. The project has been conducted in partnership with the UAA Community and Technical College and the Architectural and Engineering Technician program.<\/em><\/p>\n<p><a href=\"http:\/\/creativecommons.org\/licenses\/by\/4.0\/\" rel=\"license\"><img decoding=\"async\" style=\"border-width: 0;\" src=\"https:\/\/i.creativecommons.org\/l\/by\/4.0\/88x31.png\" alt=\"Creative Commons License\" \/><\/a><br \/>\nThis work by Kenai Penninsula College &#8211; University of Alaska Anchorage is licensed under a <a href=\"http:\/\/creativecommons.org\/licenses\/by\/4.0\/\" rel=\"license\">Creative Commons Attribution 4.0 International License<\/a>.<\/p>\n<\/div>\n","protected":false},"excerpt":{"rendered":"Beginning Algebra Module Overview: This module is offered as an engaging tutorial for solving systems of linear equations and inequalities. Students will solve systems of linear equations and inequalities in two variables using a variety of methods: substitution, elimination, and.. <a href=\"https:\/\/community.oli.cmu.edu\/about\/community-developed-courses\/beginning-algebra-module-systems-of-linear-equations-and-inequalities-in-two-variables\/\">Learn more<span><\/span><\/a>","protected":false},"author":7,"featured_media":0,"parent":451,"menu_order":0,"comment_status":"open","ping_status":"open","template":"page-courseDetails.php","meta":{"footnotes":""},"_links":{"self":[{"href":"https:\/\/community.oli.cmu.edu\/wp-json\/wp\/v2\/pages\/466"}],"collection":[{"href":"https:\/\/community.oli.cmu.edu\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/community.oli.cmu.edu\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/community.oli.cmu.edu\/wp-json\/wp\/v2\/users\/7"}],"replies":[{"embeddable":true,"href":"https:\/\/community.oli.cmu.edu\/wp-json\/wp\/v2\/comments?post=466"}],"version-history":[{"count":27,"href":"https:\/\/community.oli.cmu.edu\/wp-json\/wp\/v2\/pages\/466\/revisions"}],"predecessor-version":[{"id":486,"href":"https:\/\/community.oli.cmu.edu\/wp-json\/wp\/v2\/pages\/466\/revisions\/486"}],"up":[{"embeddable":true,"href":"https:\/\/community.oli.cmu.edu\/wp-json\/wp\/v2\/pages\/451"}],"wp:attachment":[{"href":"https:\/\/community.oli.cmu.edu\/wp-json\/wp\/v2\/media?parent=466"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}