{"id":189,"date":"2022-06-16T16:52:16","date_gmt":"2022-06-16T16:52:16","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/alphamodule\/?post_type=chapter&#038;p=189"},"modified":"2022-06-28T16:39:54","modified_gmt":"2022-06-28T16:39:54","slug":"data-collection-and-organization-background-youll-need","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/alphamodule\/chapter\/data-collection-and-organization-background-youll-need\/","title":{"raw":"Data Collection and Organization: Background You'll Need 1","rendered":"Data Collection and Organization: Background You&#8217;ll Need 1"},"content":{"raw":"<div class=\"textbox learning-objectives\">\r\n<h3>What you'll need to know:<\/h3>\r\nIn this support activity you\u2019ll become familiar with the following:\r\n<ul>\r\n \t<li>Write a proportion in fraction form from a table.<\/li>\r\n \t<li>Use proportions to answer questions.<\/li>\r\n<\/ul>\r\nYou will also have an opportunity to refresh the following skills:\r\n<ul>\r\n \t<li>Simplify fractions by removing common factors.<\/li>\r\n<\/ul>\r\n<\/div>\r\nThroughout this class, you will need to compute fractions, proportions, and percentages and convert from one numeric representation to another. In this support activity, you'll get practice writing proportions from a table of data as fractions, then use those proportions to answer questions about the data. You will also have a chance to refresh the skill of simplifying fractions.\r\n<h3>Proportions<\/h3>\r\nProportions represent some part of a set of data out of the total. They help us to compare variations that appear in the data.\u00a0Since fractions can be used to model part-to-whole relationships,\u00a0we can use fractions to write proportions mathematically. This representation will help us make comparisons between the different variations appearing in the data in order to answer questions about it.\r\n\r\nSee the example below for a demonstration of how to write a proportion as a fraction, then try it out yourself using data about the eye colors in a class of students in the activity that follows.\r\n<div class=\"textbox exercises\">\r\n<h3>Example<\/h3>\r\n<strong>Fractions model part-to-whole relationships<\/strong>.\r\n\r\nIn other words, we can write a fraction that represents\u00a0<em>some part out of some whole <\/em>as [latex]\\frac{\\text{part}}{\\text{whole}}[\/latex].\r\n\r\nFor example, suppose an arrangement of flowers contains 4 yellow daisies, 2 black irises, and 3 red daisies, and 3 white chrysanthemums. Here's a table containing that information.\r\n<table style=\"border-collapse: collapse; width: 100%;\" border=\"1\">\r\n<tbody>\r\n<tr>\r\n<td style=\"width: 50%;\">Flower color<\/td>\r\n<td style=\"width: 50%;\">Number appearing in the arrangement<\/td>\r\n<\/tr>\r\n<tr>\r\n<td style=\"width: 50%;\">Yellow<\/td>\r\n<td style=\"width: 50%;\">4<\/td>\r\n<\/tr>\r\n<tr>\r\n<td style=\"width: 50%;\">Black<\/td>\r\n<td style=\"width: 50%;\">2<\/td>\r\n<\/tr>\r\n<tr>\r\n<td style=\"width: 50%;\">Red<\/td>\r\n<td style=\"width: 50%;\">3<\/td>\r\n<\/tr>\r\n<tr>\r\n<td style=\"width: 50%;\">White<\/td>\r\n<td style=\"width: 50%;\">3<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\nThere are [latex]12[\/latex] flowers in the arrangement, which we know by adding up all the numbers in the table.\r\n<p style=\"text-align: center;\">[latex]4+2+3+3=12[\/latex]<\/p>\r\nIf we'd like to know what proportion of the flowers are yellow, we can write a fraction to represent the proportion. There are [latex]4[\/latex] yellow flowers out of the total of [latex]12[\/latex].\r\n<p style=\"text-align: center;\">[latex]\\dfrac{\\text{part}}{\\text{whole}}=\\dfrac{\\text{number that are yellow}}{\\text{total number of flowers}}=\\dfrac{4}{12}[\/latex]<\/p>\r\n<strong>Simplifying fractions<\/strong>\r\n\r\nYou may recall how to reduce fractions to simplest terms. In this case, since both the numerator and denominator have a common factor of [latex]4[\/latex] we can rewrite the fraction.\r\n<p style=\"text-align: center;\">[latex]\\dfrac{4}{12}=\\dfrac{1\\cdot4}{3\\cdot4}=\\dfrac{1\\cdot\\cancel{4}}{3\\cdot\\cancel{4}}=\\dfrac{1}{3}[\/latex]<\/p>\r\nIf you don't remember how to simplify fractions, see the section on this page below,\u00a0<em>Simplifying Fractions,<\/em> for a demonstration.\r\n\r\n<strong>Proportions as representations<\/strong>\r\n\r\nIt is important to note that both\u00a0[latex]\\frac{4}{12}[\/latex] and\u00a0[latex]\\frac{1}{3}[\/latex] are useful for representing the proportion of flowers in the arrangement that are yellow.\r\n<ul>\r\n \t<li>[latex]\\frac{4}{12}[\/latex] tells us that there are exactly 4 yellow flowers out of a total of 12 in the arrangement.<\/li>\r\n \t<li>[latex]\\frac{1}{3}[\/latex] tells us that a third of the flowers in the arrangement are yellow.<\/li>\r\n<\/ul>\r\n<strong>Practice writing a proportion by answering the questions below.<\/strong>\r\n<ol>\r\n \t<li>How many of the flowers are red?<\/li>\r\n \t<li>Write a fraction using the proportion model\u00a0[latex]\\dfrac{\\text{part}}{\\text{whole}}[\/latex] to represent\u00a0the number of red flowers out of the total number in the arrangement.<\/li>\r\n \t<li>Simplify the fraction if possible.<\/li>\r\n<\/ol>\r\n[reveal-answer q=\"619126\"]Show Answer[\/reveal-answer]\r\n[hidden-answer a=\"619126\"]\r\n<ol>\r\n \t<li>Three of the flowers are red.<\/li>\r\n \t<li><span style=\"font-size: 1rem; orphans: 1; text-align: initial;\">In the arrangement of [latex]12[\/latex] flowers, if [latex]3[\/latex] of them are red, we could say that [latex]\\dfrac{3}{12}[\/latex] of the flowers are red.\u00a0 <em>Three out of twelve<\/em><\/span><em><span style=\"font-size: 1rem; orphans: 1; text-align: initial;\">\u00a0of the flowers are red.<\/span><\/em><\/li>\r\n \t<li>In the fraction\u00a0<span style=\"font-size: 1rem; orphans: 1; text-align: initial;\">[latex]\\dfrac{3}{12}[\/latex], both the numerator and denominator have a common factor of [latex]3[\/latex]. If we divide each by the common factor, we have that\u00a0[latex]\\dfrac{3}{12}=\\dfrac{1\\cdot3}{4\\cdot3}=\\dfrac{1}{4}[\/latex].\u00a0<em>One quarter of the flowers in the arrangement are red.<\/em><\/span><\/li>\r\n<\/ol>\r\n[\/hidden-answer]\r\n\r\n<\/div>\r\nLet's explore this idea further using a list of eye colors for students in a class.\r\n\r\n<img class=\"wp-image-1063 aligncenter\" style=\"font-size: 1em;\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5738\/2022\/01\/11231615\/Picture70-300x201.jpg\" alt=\"A close-up on a child's eye\" width=\"370\" height=\"248\" \/>\r\n\r\nSuppose there are 24 students in a class, and they are asked to record their eye colors. The results are shown in the following table:\r\n<div align=\"center\">\r\n<table>\r\n<tbody>\r\n<tr>\r\n<td>Eye Color<\/td>\r\n<td>Number of Students<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Brown<\/td>\r\n<td>14<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Green<\/td>\r\n<td>3<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Blue<\/td>\r\n<td>6<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Hazel<\/td>\r\n<td>1<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n&nbsp;\r\n\r\nSince 3 students have green eyes and there are 24 students in the class, we say \u201c3 out of 24 students have green eyes.\u201d In mathematics, this is represented by the fraction [latex]\\frac{3}{24}[\/latex]. The numerator, 3, represents the number of students who have green eyes (the part), and the denominator, 24, represents the total number of students in the class (the whole). Answer the following questions using the eye color data in the table.\r\n<div class=\"textbox key-takeaways\">\r\n<h3>question 1<\/h3>\r\nAre the eye colors of all 24 students shown in the table above? How can you tell?\r\n\r\n[reveal-answer q=\"374161\"]Hint[\/reveal-answer]\r\n[hidden-answer a=\"374161\"]What is the total number of all eye colors in the table?[\/hidden-answer]\r\n\r\n<\/div>\r\n<div class=\"textbox key-takeaways\">\r\n<h3>Question 2<\/h3>\r\nContinue using the eye color data in the table above to answer the following questions.\r\n\r\n&nbsp;\r\n\r\nPart A: What proportion, or fraction, of the students in the class has brown eyes?\r\n\r\n[reveal-answer q=\"492607\"]Hint[\/reveal-answer]\r\n[hidden-answer a=\"492607\"]See the example above for a demonstration.[\/hidden-answer]\r\n\r\n&nbsp;\r\n\r\nPart B: What proportion, or fraction, of the students in the class has blue eyes?\r\n\r\n[reveal-answer q=\"546844\"]Hint[\/reveal-answer]\r\n[hidden-answer a=\"546844\"]See the example above for a demonstration.[\/hidden-answer]\r\n\r\n&nbsp;\r\n\r\nPart C: Do more than half of the students in the class have brown eyes? Explain.\r\n\r\n[reveal-answer q=\"533596\"]Hint[\/reveal-answer]\r\n[hidden-answer a=\"533596\"]What number represents half of the students? What number represents the number of students with brown eyes? [\/hidden-answer]\r\n\r\n&nbsp;\r\n\r\nPart D: If you randomly chose one student from the class, what eye color do you think that student would have? Explain.\r\n\r\n[reveal-answer q=\"511265\"]Hint[\/reveal-answer]\r\n[hidden-answer a=\"511265\"]What do <em>you<\/em> think? Base your answer on your answer to Part C.[\/hidden-answer]\r\n\r\n&nbsp;\r\n\r\nPart E: Suppose the students decide to count the eye colors of all their teachers, and they find out 7 of their 12 teachers have brown eyes. Are brown eyes more common among the teachers or among the students?\r\n\r\n[reveal-answer q=\"519193\"]Hint[\/reveal-answer]\r\n[hidden-answer a=\"519193\"]What do <em>you<\/em> think? The word \"more\" is a comparison word. Try comparing the simplified forms of the proportions of students with brown eyes to teachers with brown eyes.[\/hidden-answer]\r\n\r\n<\/div>\r\n&nbsp;\r\n\r\n<\/div>","rendered":"<div class=\"textbox learning-objectives\">\n<h3>What you&#8217;ll need to know:<\/h3>\n<p>In this support activity you\u2019ll become familiar with the following:<\/p>\n<ul>\n<li>Write a proportion in fraction form from a table.<\/li>\n<li>Use proportions to answer questions.<\/li>\n<\/ul>\n<p>You will also have an opportunity to refresh the following skills:<\/p>\n<ul>\n<li>Simplify fractions by removing common factors.<\/li>\n<\/ul>\n<\/div>\n<p>Throughout this class, you will need to compute fractions, proportions, and percentages and convert from one numeric representation to another. In this support activity, you&#8217;ll get practice writing proportions from a table of data as fractions, then use those proportions to answer questions about the data. You will also have a chance to refresh the skill of simplifying fractions.<\/p>\n<h3>Proportions<\/h3>\n<p>Proportions represent some part of a set of data out of the total. They help us to compare variations that appear in the data.\u00a0Since fractions can be used to model part-to-whole relationships,\u00a0we can use fractions to write proportions mathematically. This representation will help us make comparisons between the different variations appearing in the data in order to answer questions about it.<\/p>\n<p>See the example below for a demonstration of how to write a proportion as a fraction, then try it out yourself using data about the eye colors in a class of students in the activity that follows.<\/p>\n<div class=\"textbox exercises\">\n<h3>Example<\/h3>\n<p><strong>Fractions model part-to-whole relationships<\/strong>.<\/p>\n<p>In other words, we can write a fraction that represents\u00a0<em>some part out of some whole <\/em>as [latex]\\frac{\\text{part}}{\\text{whole}}[\/latex].<\/p>\n<p>For example, suppose an arrangement of flowers contains 4 yellow daisies, 2 black irises, and 3 red daisies, and 3 white chrysanthemums. Here&#8217;s a table containing that information.<\/p>\n<table style=\"border-collapse: collapse; width: 100%;\">\n<tbody>\n<tr>\n<td style=\"width: 50%;\">Flower color<\/td>\n<td style=\"width: 50%;\">Number appearing in the arrangement<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\">Yellow<\/td>\n<td style=\"width: 50%;\">4<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\">Black<\/td>\n<td style=\"width: 50%;\">2<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\">Red<\/td>\n<td style=\"width: 50%;\">3<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\">White<\/td>\n<td style=\"width: 50%;\">3<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>There are [latex]12[\/latex] flowers in the arrangement, which we know by adding up all the numbers in the table.<\/p>\n<p style=\"text-align: center;\">[latex]4+2+3+3=12[\/latex]<\/p>\n<p>If we&#8217;d like to know what proportion of the flowers are yellow, we can write a fraction to represent the proportion. There are [latex]4[\/latex] yellow flowers out of the total of [latex]12[\/latex].<\/p>\n<p style=\"text-align: center;\">[latex]\\dfrac{\\text{part}}{\\text{whole}}=\\dfrac{\\text{number that are yellow}}{\\text{total number of flowers}}=\\dfrac{4}{12}[\/latex]<\/p>\n<p><strong>Simplifying fractions<\/strong><\/p>\n<p>You may recall how to reduce fractions to simplest terms. In this case, since both the numerator and denominator have a common factor of [latex]4[\/latex] we can rewrite the fraction.<\/p>\n<p style=\"text-align: center;\">[latex]\\dfrac{4}{12}=\\dfrac{1\\cdot4}{3\\cdot4}=\\dfrac{1\\cdot\\cancel{4}}{3\\cdot\\cancel{4}}=\\dfrac{1}{3}[\/latex]<\/p>\n<p>If you don&#8217;t remember how to simplify fractions, see the section on this page below,\u00a0<em>Simplifying Fractions,<\/em> for a demonstration.<\/p>\n<p><strong>Proportions as representations<\/strong><\/p>\n<p>It is important to note that both\u00a0[latex]\\frac{4}{12}[\/latex] and\u00a0[latex]\\frac{1}{3}[\/latex] are useful for representing the proportion of flowers in the arrangement that are yellow.<\/p>\n<ul>\n<li>[latex]\\frac{4}{12}[\/latex] tells us that there are exactly 4 yellow flowers out of a total of 12 in the arrangement.<\/li>\n<li>[latex]\\frac{1}{3}[\/latex] tells us that a third of the flowers in the arrangement are yellow.<\/li>\n<\/ul>\n<p><strong>Practice writing a proportion by answering the questions below.<\/strong><\/p>\n<ol>\n<li>How many of the flowers are red?<\/li>\n<li>Write a fraction using the proportion model\u00a0[latex]\\dfrac{\\text{part}}{\\text{whole}}[\/latex] to represent\u00a0the number of red flowers out of the total number in the arrangement.<\/li>\n<li>Simplify the fraction if possible.<\/li>\n<\/ol>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q619126\">Show Answer<\/span><\/p>\n<div id=\"q619126\" class=\"hidden-answer\" style=\"display: none\">\n<ol>\n<li>Three of the flowers are red.<\/li>\n<li><span style=\"font-size: 1rem; orphans: 1; text-align: initial;\">In the arrangement of [latex]12[\/latex] flowers, if [latex]3[\/latex] of them are red, we could say that [latex]\\dfrac{3}{12}[\/latex] of the flowers are red.\u00a0 <em>Three out of twelve<\/em><\/span><em><span style=\"font-size: 1rem; orphans: 1; text-align: initial;\">\u00a0of the flowers are red.<\/span><\/em><\/li>\n<li>In the fraction\u00a0<span style=\"font-size: 1rem; orphans: 1; text-align: initial;\">[latex]\\dfrac{3}{12}[\/latex], both the numerator and denominator have a common factor of [latex]3[\/latex]. If we divide each by the common factor, we have that\u00a0[latex]\\dfrac{3}{12}=\\dfrac{1\\cdot3}{4\\cdot3}=\\dfrac{1}{4}[\/latex].\u00a0<em>One quarter of the flowers in the arrangement are red.<\/em><\/span><\/li>\n<\/ol>\n<\/div>\n<\/div>\n<\/div>\n<p>Let&#8217;s explore this idea further using a list of eye colors for students in a class.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-1063 aligncenter\" style=\"font-size: 1em;\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5738\/2022\/01\/11231615\/Picture70-300x201.jpg\" alt=\"A close-up on a child's eye\" width=\"370\" height=\"248\" \/><\/p>\n<p>Suppose there are 24 students in a class, and they are asked to record their eye colors. The results are shown in the following table:<\/p>\n<div style=\"margin: auto;\">\n<table>\n<tbody>\n<tr>\n<td>Eye Color<\/td>\n<td>Number of Students<\/td>\n<\/tr>\n<tr>\n<td>Brown<\/td>\n<td>14<\/td>\n<\/tr>\n<tr>\n<td>Green<\/td>\n<td>3<\/td>\n<\/tr>\n<tr>\n<td>Blue<\/td>\n<td>6<\/td>\n<\/tr>\n<tr>\n<td>Hazel<\/td>\n<td>1<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>&nbsp;<\/p>\n<p>Since 3 students have green eyes and there are 24 students in the class, we say \u201c3 out of 24 students have green eyes.\u201d In mathematics, this is represented by the fraction [latex]\\frac{3}{24}[\/latex]. The numerator, 3, represents the number of students who have green eyes (the part), and the denominator, 24, represents the total number of students in the class (the whole). Answer the following questions using the eye color data in the table.<\/p>\n<div class=\"textbox key-takeaways\">\n<h3>question 1<\/h3>\n<p>Are the eye colors of all 24 students shown in the table above? How can you tell?<\/p>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q374161\">Hint<\/span><\/p>\n<div id=\"q374161\" class=\"hidden-answer\" style=\"display: none\">What is the total number of all eye colors in the table?<\/div>\n<\/div>\n<\/div>\n<div class=\"textbox key-takeaways\">\n<h3>Question 2<\/h3>\n<p>Continue using the eye color data in the table above to answer the following questions.<\/p>\n<p>&nbsp;<\/p>\n<p>Part A: What proportion, or fraction, of the students in the class has brown eyes?<\/p>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q492607\">Hint<\/span><\/p>\n<div id=\"q492607\" class=\"hidden-answer\" style=\"display: none\">See the example above for a demonstration.<\/div>\n<\/div>\n<p>&nbsp;<\/p>\n<p>Part B: What proportion, or fraction, of the students in the class has blue eyes?<\/p>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q546844\">Hint<\/span><\/p>\n<div id=\"q546844\" class=\"hidden-answer\" style=\"display: none\">See the example above for a demonstration.<\/div>\n<\/div>\n<p>&nbsp;<\/p>\n<p>Part C: Do more than half of the students in the class have brown eyes? Explain.<\/p>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q533596\">Hint<\/span><\/p>\n<div id=\"q533596\" class=\"hidden-answer\" style=\"display: none\">What number represents half of the students? What number represents the number of students with brown eyes? <\/div>\n<\/div>\n<p>&nbsp;<\/p>\n<p>Part D: If you randomly chose one student from the class, what eye color do you think that student would have? Explain.<\/p>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q511265\">Hint<\/span><\/p>\n<div id=\"q511265\" class=\"hidden-answer\" style=\"display: none\">What do <em>you<\/em> think? Base your answer on your answer to Part C.<\/div>\n<\/div>\n<p>&nbsp;<\/p>\n<p>Part E: Suppose the students decide to count the eye colors of all their teachers, and they find out 7 of their 12 teachers have brown eyes. Are brown eyes more common among the teachers or among the students?<\/p>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q519193\">Hint<\/span><\/p>\n<div id=\"q519193\" class=\"hidden-answer\" style=\"display: none\">What do <em>you<\/em> think? The word &#8220;more&#8221; is a comparison word. Try comparing the simplified forms of the proportions of students with brown eyes to teachers with brown eyes.<\/div>\n<\/div>\n<\/div>\n<p>&nbsp;<\/p>\n<\/div>\n","protected":false},"author":17533,"menu_order":7,"template":"","meta":{"_candela_citation":"[]","CANDELA_OUTCOMES_GUID":"","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-189","chapter","type-chapter","status-publish","hentry"],"part":156,"_links":{"self":[{"href":"https:\/\/courses.lumenlearning.com\/alphamodule\/wp-json\/pressbooks\/v2\/chapters\/189","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/courses.lumenlearning.com\/alphamodule\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/courses.lumenlearning.com\/alphamodule\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/alphamodule\/wp-json\/wp\/v2\/users\/17533"}],"version-history":[{"count":5,"href":"https:\/\/courses.lumenlearning.com\/alphamodule\/wp-json\/pressbooks\/v2\/chapters\/189\/revisions"}],"predecessor-version":[{"id":415,"href":"https:\/\/courses.lumenlearning.com\/alphamodule\/wp-json\/pressbooks\/v2\/chapters\/189\/revisions\/415"}],"part":[{"href":"https:\/\/courses.lumenlearning.com\/alphamodule\/wp-json\/pressbooks\/v2\/parts\/156"}],"metadata":[{"href":"https:\/\/courses.lumenlearning.com\/alphamodule\/wp-json\/pressbooks\/v2\/chapters\/189\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/courses.lumenlearning.com\/alphamodule\/wp-json\/wp\/v2\/media?parent=189"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/alphamodule\/wp-json\/pressbooks\/v2\/chapter-type?post=189"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/alphamodule\/wp-json\/wp\/v2\/contributor?post=189"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/alphamodule\/wp-json\/wp\/v2\/license?post=189"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}