{"id":2839,"date":"2018-01-11T22:34:38","date_gmt":"2018-01-11T22:34:38","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/waymakermath4libarts\/?post_type=chapter&#038;p=2839"},"modified":"2020-04-27T17:03:40","modified_gmt":"2020-04-27T17:03:40","slug":"learning-outcomes","status":"web-only","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/esc-mathforliberalartscorequisite\/chapter\/learning-outcomes\/","title":{"raw":"Learning Outcomes","rendered":"Learning Outcomes"},"content":{"raw":"<img class=\"aligncenter wp-image-254\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/1141\/2018\/01\/11222955\/outcomes.jpg\" alt=\"icon of a magnifying glass over a list\" width=\"200\" height=\"201\" \/>\r\n\r\nThe textbook\u00a0content, assignments, and assessments for Mathematics for Liberal Arts are aligned to the following learning outcomes. See the list of detailed learning outcomes here:\u00a0<a href=\"https:\/\/docs.google.com\/spreadsheets\/d\/1gxgsJ77AI3R_HXZBkMXgpKv0Zpa3eAebyoF05990jZ0\/edit?usp=sharing\" target=\"_blank\" rel=\"noopener\">Detailed Learning Outcomes: Math for Liberal Arts Corequisite<\/a>.\r\n<h2>Module 1: Historical Counting Systems<\/h2>\r\n<ul>\r\n \t<li>Review topics needed for success in Historical Counting Systems<\/li>\r\n \t<li>Convert between our number system and early counting systems<\/li>\r\n \t<li>Convert numbers between different bases<\/li>\r\n<\/ul>\r\n<h2>Module 2: General Problem Solving<\/h2>\r\n<ul>\r\n \t<li>Review topics needed for success in General Problem Solving<\/li>\r\n \t<li>Apply proportional relationships to problems involving rates, money, or geometry<\/li>\r\n \t<li>Design a pathway for solving complex multi-step problems<\/li>\r\n<\/ul>\r\n<h2>Module 3: Measurement<\/h2>\r\n<ul>\r\n \t<li>Review topics needed for success in Measurement<\/li>\r\n \t<li class=\"LearningObjectivebox\">Make calculations and solve application problems involving units of measurement<\/li>\r\n \t<li>Convert measurements between metric units and U.S. customary units<\/li>\r\n<\/ul>\r\n<h2>Module 4: Graph Theory<\/h2>\r\n<div id=\"post-1677\" class=\"standard post-1677 chapter type-chapter status-publish hentry\">\r\n<div class=\"entry-content\">\r\n<ul>\r\n \t<li>Review topics needed for success in Graph Theory<\/li>\r\n \t<li>Describe the elements of a graph<\/li>\r\n \t<li>Find Euler and Hamiltonian paths and circuits within a defined graph<\/li>\r\n<\/ul>\r\n<h2>Module 5: Fractals<\/h2>\r\n<ul>\r\n \t<li>Review topics needed for success in Fractals<\/li>\r\n \t<li>Understand fractal shapes and the scaling dimension relation<\/li>\r\n \t<li>Use complex numbers to generate terms in a recursive relation<\/li>\r\n<\/ul>\r\n<h2>Module 6: Theory and Logic<\/h2>\r\n<ul>\r\n \t<li>Review topics needed for success in Set Theory and Logic<\/li>\r\n \t<li>Use proper set notation and Venn diagrams to depict set relations and operations<\/li>\r\n \t<li>Create truth tables to interpret statements and conditionals<\/li>\r\n \t<li>Evaluate arguments using logical inference, truth tables, and Venn diagrams<\/li>\r\n<\/ul>\r\n<\/div>\r\n<\/div>\r\n<section class=\"focusable\" tabindex=\"-1\">\r\n<h2>Module 7: Voting Theory<\/h2>\r\n<ul>\r\n \t<li>Review topics needed for success in Voting Theory<\/li>\r\n \t<li>Determine the winner of a race utilizing various types of voting methods<\/li>\r\n \t<li>Evaluate the fairness of the approval voting method<\/li>\r\n<\/ul>\r\n<h2>Module 8: Growth Models<\/h2>\r\n<ul>\r\n \t<li>Review topics needed for success in Growth Models<\/li>\r\n \t<li>Make calculations and predictions using recursive and explicit equations for both linear and exponential growth<\/li>\r\n \t<li>Use the properties of logarithms to solve problems involving logistic growth<\/li>\r\n<\/ul>\r\n<h2>Module 8QR: Modeling Growth<\/h2>\r\n<ul>\r\n \t<li>Review topics needed for success in Modeling Growth<\/li>\r\n \t<li>Use a spreadsheet to create scatterplots and analyze trendlines<\/li>\r\n \t<li>Perform linear regression and make calculations on data from real-world situations<\/li>\r\n \t<li>Perform exponential regression and compare with linear regression<\/li>\r\n<\/ul>\r\n<h2>Module 9: Finance<\/h2>\r\n<ul>\r\n \t<li>Review topics needed for success in Finance<\/li>\r\n \t<li>Calculate interest rate, time, initial deposit, and total balance of both simple and compound interest situations<\/li>\r\n \t<li>Calculate interest rate, time, balance, payouts, payments, and initial amounts of both annuities and loans<\/li>\r\n<\/ul>\r\n<h2>Module 9QR: Financial Literacy<\/h2>\r\n<ul>\r\n \t<li>Review topics needed for success in Financial Literacy<\/li>\r\n \t<li>Use both simple and compound interest equations to compare various real world savings options<\/li>\r\n \t<li>Analyze annuity and loan options by calculating the outcomes of various real-world examples<\/li>\r\n<\/ul>\r\n<h2>Module 10: Statistics: Collecting Data<\/h2>\r\n<ul>\r\n \t<li>Review topics needed for success in Collecting Data<\/li>\r\n \t<li>Identify the various aspects of data collection<\/li>\r\n \t<li>Examine the methods for sampling and experimentation and how bias can affect the results<\/li>\r\n<\/ul>\r\n<h2>Module 11: Statistics: Describing Data<\/h2>\r\n<ul>\r\n \t<li>Review topics needed for success in Describing Data<\/li>\r\n \t<li>Create and analyze different types of graphs to represent a specific data set<\/li>\r\n \t<li>Summarize a set of numerical data by reporting various measurements<\/li>\r\n<\/ul>\r\n<h2>Module 11QR: Statistical Thinking<\/h2>\r\n<ul>\r\n \t<li>Review topics needed for success in Statistical Thinking<\/li>\r\n \t<li>Use spreadsheets to explore measurements of data sets<\/li>\r\n<\/ul>\r\n<h2>Module 12: Probability<\/h2>\r\n<ul>\r\n \t<li>Review topics needed for success in Probability<\/li>\r\n \t<li>Calculate the probability of individual and overlapping events in a variety of problems<\/li>\r\n \t<li>Solve counting problems by using permutation and combination equations<\/li>\r\n<\/ul>\r\n<\/section>","rendered":"<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-254\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/1141\/2018\/01\/11222955\/outcomes.jpg\" alt=\"icon of a magnifying glass over a list\" width=\"200\" height=\"201\" \/><\/p>\n<p>The textbook\u00a0content, assignments, and assessments for Mathematics for Liberal Arts are aligned to the following learning outcomes. See the list of detailed learning outcomes here:\u00a0<a href=\"https:\/\/docs.google.com\/spreadsheets\/d\/1gxgsJ77AI3R_HXZBkMXgpKv0Zpa3eAebyoF05990jZ0\/edit?usp=sharing\" target=\"_blank\" rel=\"noopener\">Detailed Learning Outcomes: Math for Liberal Arts Corequisite<\/a>.<\/p>\n<h2>Module 1: Historical Counting Systems<\/h2>\n<ul>\n<li>Review topics needed for success in Historical Counting Systems<\/li>\n<li>Convert between our number system and early counting systems<\/li>\n<li>Convert numbers between different bases<\/li>\n<\/ul>\n<h2>Module 2: General Problem Solving<\/h2>\n<ul>\n<li>Review topics needed for success in General Problem Solving<\/li>\n<li>Apply proportional relationships to problems involving rates, money, or geometry<\/li>\n<li>Design a pathway for solving complex multi-step problems<\/li>\n<\/ul>\n<h2>Module 3: Measurement<\/h2>\n<ul>\n<li>Review topics needed for success in Measurement<\/li>\n<li class=\"LearningObjectivebox\">Make calculations and solve application problems involving units of measurement<\/li>\n<li>Convert measurements between metric units and U.S. customary units<\/li>\n<\/ul>\n<h2>Module 4: Graph Theory<\/h2>\n<div id=\"post-1677\" class=\"standard post-1677 chapter type-chapter status-publish hentry\">\n<div class=\"entry-content\">\n<ul>\n<li>Review topics needed for success in Graph Theory<\/li>\n<li>Describe the elements of a graph<\/li>\n<li>Find Euler and Hamiltonian paths and circuits within a defined graph<\/li>\n<\/ul>\n<h2>Module 5: Fractals<\/h2>\n<ul>\n<li>Review topics needed for success in Fractals<\/li>\n<li>Understand fractal shapes and the scaling dimension relation<\/li>\n<li>Use complex numbers to generate terms in a recursive relation<\/li>\n<\/ul>\n<h2>Module 6: Theory and Logic<\/h2>\n<ul>\n<li>Review topics needed for success in Set Theory and Logic<\/li>\n<li>Use proper set notation and Venn diagrams to depict set relations and operations<\/li>\n<li>Create truth tables to interpret statements and conditionals<\/li>\n<li>Evaluate arguments using logical inference, truth tables, and Venn diagrams<\/li>\n<\/ul>\n<\/div>\n<\/div>\n<section class=\"focusable\" tabindex=\"-1\">\n<h2>Module 7: Voting Theory<\/h2>\n<ul>\n<li>Review topics needed for success in Voting Theory<\/li>\n<li>Determine the winner of a race utilizing various types of voting methods<\/li>\n<li>Evaluate the fairness of the approval voting method<\/li>\n<\/ul>\n<h2>Module 8: Growth Models<\/h2>\n<ul>\n<li>Review topics needed for success in Growth Models<\/li>\n<li>Make calculations and predictions using recursive and explicit equations for both linear and exponential growth<\/li>\n<li>Use the properties of logarithms to solve problems involving logistic growth<\/li>\n<\/ul>\n<h2>Module 8QR: Modeling Growth<\/h2>\n<ul>\n<li>Review topics needed for success in Modeling Growth<\/li>\n<li>Use a spreadsheet to create scatterplots and analyze trendlines<\/li>\n<li>Perform linear regression and make calculations on data from real-world situations<\/li>\n<li>Perform exponential regression and compare with linear regression<\/li>\n<\/ul>\n<h2>Module 9: Finance<\/h2>\n<ul>\n<li>Review topics needed for success in Finance<\/li>\n<li>Calculate interest rate, time, initial deposit, and total balance of both simple and compound interest situations<\/li>\n<li>Calculate interest rate, time, balance, payouts, payments, and initial amounts of both annuities and loans<\/li>\n<\/ul>\n<h2>Module 9QR: Financial Literacy<\/h2>\n<ul>\n<li>Review topics needed for success in Financial Literacy<\/li>\n<li>Use both simple and compound interest equations to compare various real world savings options<\/li>\n<li>Analyze annuity and loan options by calculating the outcomes of various real-world examples<\/li>\n<\/ul>\n<h2>Module 10: Statistics: Collecting Data<\/h2>\n<ul>\n<li>Review topics needed for success in Collecting Data<\/li>\n<li>Identify the various aspects of data collection<\/li>\n<li>Examine the methods for sampling and experimentation and how bias can affect the results<\/li>\n<\/ul>\n<h2>Module 11: Statistics: Describing Data<\/h2>\n<ul>\n<li>Review topics needed for success in Describing Data<\/li>\n<li>Create and analyze different types of graphs to represent a specific data set<\/li>\n<li>Summarize a set of numerical data by reporting various measurements<\/li>\n<\/ul>\n<h2>Module 11QR: Statistical Thinking<\/h2>\n<ul>\n<li>Review topics needed for success in Statistical Thinking<\/li>\n<li>Use spreadsheets to explore measurements of data sets<\/li>\n<\/ul>\n<h2>Module 12: Probability<\/h2>\n<ul>\n<li>Review topics needed for success in Probability<\/li>\n<li>Calculate the probability of individual and overlapping events in a variety of problems<\/li>\n<li>Solve counting problems by using permutation and combination equations<\/li>\n<\/ul>\n<\/section>\n\n\t\t\t <section class=\"citations-section\" role=\"contentinfo\">\n\t\t\t <h3>Candela Citations<\/h3>\n\t\t\t\t\t <div>\n\t\t\t\t\t\t <div id=\"citation-list-2839\">\n\t\t\t\t\t\t\t <div class=\"licensing\"><div class=\"license-attribution-dropdown-subheading\">CC licensed content, Original<\/div><ul class=\"citation-list\"><li>Learning Outcomes. <strong>Provided by<\/strong>: Lumen Learning. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">CC BY: Attribution<\/a><\/em><\/li><\/ul><div class=\"license-attribution-dropdown-subheading\">CC licensed content, Shared previously<\/div><ul class=\"citation-list\"><li>Magnify. <strong>Authored by<\/strong>: Eucalyp. <strong>Provided by<\/strong>: Noun Project. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"https:\/\/thenounproject.com\/term\/magnify\/1276779\/\">https:\/\/thenounproject.com\/term\/magnify\/1276779\/<\/a>. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">CC BY: Attribution<\/a><\/em><\/li><\/ul><\/div>\n\t\t\t\t\t\t <\/div>\n\t\t\t\t\t <\/div>\n\t\t\t <\/section>","protected":false},"author":17,"menu_order":3,"template":"","meta":{"_candela_citation":"[{\"type\":\"cc\",\"description\":\"Magnify\",\"author\":\"Eucalyp\",\"organization\":\"Noun Project\",\"url\":\"https:\/\/thenounproject.com\/term\/magnify\/1276779\/\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"\"},{\"type\":\"original\",\"description\":\"Learning Outcomes\",\"author\":\"\",\"organization\":\"Lumen Learning\",\"url\":\"\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"\"}]","CANDELA_OUTCOMES_GUID":"","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-2839","chapter","type-chapter","status-web-only","hentry"],"part":2834,"_links":{"self":[{"href":"https:\/\/courses.lumenlearning.com\/esc-mathforliberalartscorequisite\/wp-json\/pressbooks\/v2\/chapters\/2839","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/courses.lumenlearning.com\/esc-mathforliberalartscorequisite\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/courses.lumenlearning.com\/esc-mathforliberalartscorequisite\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/esc-mathforliberalartscorequisite\/wp-json\/wp\/v2\/users\/17"}],"version-history":[{"count":9,"href":"https:\/\/courses.lumenlearning.com\/esc-mathforliberalartscorequisite\/wp-json\/pressbooks\/v2\/chapters\/2839\/revisions"}],"predecessor-version":[{"id":4741,"href":"https:\/\/courses.lumenlearning.com\/esc-mathforliberalartscorequisite\/wp-json\/pressbooks\/v2\/chapters\/2839\/revisions\/4741"}],"part":[{"href":"https:\/\/courses.lumenlearning.com\/esc-mathforliberalartscorequisite\/wp-json\/pressbooks\/v2\/parts\/2834"}],"metadata":[{"href":"https:\/\/courses.lumenlearning.com\/esc-mathforliberalartscorequisite\/wp-json\/pressbooks\/v2\/chapters\/2839\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/courses.lumenlearning.com\/esc-mathforliberalartscorequisite\/wp-json\/wp\/v2\/media?parent=2839"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/esc-mathforliberalartscorequisite\/wp-json\/pressbooks\/v2\/chapter-type?post=2839"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/esc-mathforliberalartscorequisite\/wp-json\/wp\/v2\/contributor?post=2839"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/esc-mathforliberalartscorequisite\/wp-json\/wp\/v2\/license?post=2839"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}