{"id":1561,"date":"2014-12-04T01:25:53","date_gmt":"2014-12-04T08:25:53","guid":{"rendered":"http:\/\/patternbasedwriting.com\/elementary_writing_success\/?p=1561"},"modified":"2019-01-17T18:07:32","modified_gmt":"2019-01-18T01:07:32","slug":"five-paragraph-essay-and-golden-ratio","status":"publish","type":"post","link":"https:\/\/patternbasedwriting.com\/elementary_writing_success\/five-paragraph-essay-and-golden-ratio\/","title":{"rendered":"The Five-Paragraph Essay and the Golden Ratio"},"content":{"rendered":"<h3>What\u2019s So Special About The Five-Paragraph Essay?<\/h3>\n<p>Recently, a student asked me what made the five-paragraph essay so important\u2014so special. In short, the student was asking why five paragraphs? Why not three or four or six or seven? Why five?<\/p>\n<p>I explained that in my opinion, the five-paragraph essay is more of an instructional technique than it is a piece of writing.\u00a0 I explained that five paragraphs is a nice number of paragraphs for beginning writers and emerging writers to work with. I explained that many natural patterns of logical thought can be demonstrated using five paragraphs. I also explained that many teachers prefer to assign many short essays instead of just a few very long essays, and that students can demonstrate both writing skill and understanding of subject matter in five paragraphs.<\/p>\n<p>Put simply, I explained that people just like five paragraphs. There is nothing special about <em>five paragraphs<\/em> other than the fact that people like working with five paragraphs.<\/p>\n<p>I realized after the fact that this last part was not true. There is something special about five paragraphs, just like there is something special about the Parthenon and the artwork of Leonardo da Vinci. This specialness has to do with proportion and the Golden Ratio.<\/p>\n<p>The Golden Ration is .618, or 61.8% and put simply, the body (the main content) of the five-paragraph essay is very likely 61.8% of the whole essay. This means that the introduction and conclusion (the helping parts) will likely equal 38.2% of the whole essay.<\/p>\n<blockquote><p><span style=\"color: #3366ff;\"><strong>If you teach elementary school writing or struggling middle school writers, be sure to check out <span style=\"color: #ff0000;\"><a style=\"color: #ff0000;\" title=\"Elementary and Middle School Writing Success!\" href=\"http:\/\/patternbasedwriting.com\/\"><em>Pattern Based Writing: Quick &amp; Easy Essay <\/em><\/a><\/span>on the homepage.<\/strong><\/span><\/p><\/blockquote>\n<p>Believe it or not, I needed to examine just four pieces of published five-paragraph writing to find one where the word count of the paragraphs matched this ratio to near perfection. We will take a closer look at this Golden Ratio in the five-paragraph essay soon, but first let\u2019s think about beginning, middle, and ending.<span style=\"color: #3366ff;\"><strong><br \/>\n<\/strong><\/span><\/p>\n<h3>The Five Paragraph Essay and Two Levels of Beginning, Middle, and Ending<\/h3>\n<p>Why did the five-paragraph essay become so popular? Well, it is the shortest essay that a student can write that truly creates <span style=\"text-decoration: underline;\"><em><strong>two<\/strong><\/em><\/span> levels of beginning, middle, and ending:<\/p>\n<p style=\"padding-left: 30px;\"><span style=\"color: #0000ff;\"><strong>1.\u00a0 <\/strong><\/span>Beginning, middle, and ending in the paragraphs.<br \/>\n<span style=\"color: #0000ff;\"><strong>2.<\/strong><\/span>\u00a0 Beginning, middle, and ending in the whole composition.<\/p>\n<p>This fact alone makes the five-paragraph essay a valuable writing instruction tool. Good writing requires a certain rhythm of beginning, middle, and ending. It needs this rhythm in sentences (sentence fluency) and in paragraphs. The whole composition needs to have a feeling of rhythm and flow\u2014beginning, middle, ending\u2014beginning, middle, and ending. So, how do we develop this organizational sense of writing that helps students create paragraphs that all combine to create a whole? (Once again, if this is your goal, be sure to check out <a title=\"Effective Writing Instruction!\" href=\"http:\/\/patternbasedwriting.com\/\"><em><span style=\"color: #ff0000;\"><strong>Pattern Based Writing: Quick &amp; Easy Essay<\/strong><\/span><\/em><\/a> on the homepage!)<\/p>\n<p>Back in 1905, Stratton D. Brooks wrote this in his textbook <em>Composition-Rhetoric<\/em>: \u201c\u2026improvement in the performance of an act comes from the repetition of that act accompanied by a conscious effort to omit the imperfections of the former attempt.\u201d<\/p>\n<p>Put simply, for beginning writers, writing many short essays is a better use of time than writing just a few very large essays. Beginning writers should follow this process: \u201cPrewrite, Write, Rewrite\u2014then rinse and repeat.\u201d<\/p>\n<p>Beginning writers benefit from going through the complete writing process often, not just every once in a while. As such, writing many short essays that have two levels of beginning, middle, and ending is better writing practice than writing just a few large essays. Once again, we will soon look at the proportions that have made the five-paragraph essay the <em>short essay of choice<\/em> to work with.<\/p>\n<h3>Beginning, Middle, and Ending<\/h3>\n<p>Whole compositions (essays, stories, and reports) all need a beginning, middle, and ending. Additionally, the paragraphs that make up these whole compositions also need a beginning, middle, and ending. (<em>Note:<\/em> In stories, this concept of beginning, middle, and ending\u00a0often applies to actual paragraphs, but always to scenes, etc.)<\/p>\n<p>In <em>Poetics<\/em>, Aristotle (384 BC- 322BC) said, \u201cA whole is that which has a beginning, a middle, and an end.\u201d In other words, if a writer does not create a beginning, middle, and end, the writer has created just <em>a part of a whole<\/em>. As relates to paragraphs, making points, giving reasons, explaining concepts, and providing illustrations all need beginnings, middles, and endings.<\/p>\n<p>Now, because I understand that writing cannot be reduced to a simple, fill in the blanks formula, I put forth that paragraphs, if logically and properly connected to the other paragraphs, often just have the <em>FEELING<\/em> of having a beginning, middle, and ending.<\/p>\n<h3>Proportion<\/h3>\n<p>Fred Newton Scott, an early paragraph theorizer, listed <em>Proportion<\/em> as one of the five general laws of paragraphs. Most books on narrative storytelling and screenwriting give a large amount of advice on planning out the plot effectively\u2014i.e., creating the correct proportions. Some books go as far to advise writers to create plot turns on specific pages\u2014all for the reason of creating the ideal dramatic structure, or proportions. Worth mentioning, Aristotle\u2019s advice about wholes needing a beginning, a middle, and an end essentially created the three-act dramatic structure. In case you are wondering, proportion and ratio are really just two ways to look at the same idea.<\/p>\n<h3>The Five Paragraph Essay,\u00a0Fibonacci Numbers, and the Golden Ratio<\/h3>\n<p>I don\u2019t want to make this a math lesson, so I\u2019m not going to explain Fibonacci Numbers or the Golden Ratio in depth. Feel free to learn more about them at your leisure. My goal here is simply to point out that these mathematical phenomena are present in the five-paragraph essay, which is possibly why the structure has become so popular.<\/p>\n<p>The Golden Ratio is all about proportion. And the Golden Ratio is built from the Fibonacci Number Sequence. Here is the beginning list of Fibonacci numbers: 1, 1, 2, 3, 5, 8, 13, 21\u2026 The important numbers associated with the Golden Ratio are these: 1.681, .618, and .382. For our purposes, only the latter two are important. Keep in mind that .618 = 61.8% and .382 = 38.2%.<\/p>\n<p>Let\u2019s take a look at how these relate to the beginning, middle, and ending of a five-paragraph essay. Here is how the five paragraphs in the five-paragraph essay are structured:<\/p>\n<p><strong><span style=\"color: #0000ff;\"><em>Please note:<\/em><\/span><\/strong> Moving forward I will be using the letters <span style=\"color: #0000ff;\"><strong>B<\/strong><\/span>, <span style=\"color: #0000ff;\"><strong>M<\/strong><\/span>, and <span style=\"color: #0000ff;\"><strong>E<\/strong><\/span> for beginning, middle, and ending. I will also be using <span style=\"color: #0000ff;\"><strong>P1, P2, P3, P4<\/strong><\/span>, and <span style=\"color: #0000ff;\"><strong>P5<\/strong><\/span> for the paragraph numbers.<\/p>\n<p style=\"padding-left: 30px;\"><span style=\"color: #0000ff;\"><strong>\u2022<\/strong><\/span>\u00a0\u00a0\u00a0\u00a0 Beginning <span style=\"color: #0000ff;\"><strong>(B)<\/strong><\/span>\u00a0\u00a0 =\u00a0\u00a0 Introduction\u00a0 \u00a0=\u00a0\u00a0 1 paragraph<br \/>\n<span style=\"color: #0000ff;\"><strong>\u2022\u00a0<\/strong><\/span>\u00a0\u00a0\u00a0 Middle <span style=\"color: #0000ff;\"><strong>(M)<\/strong><\/span>\u00a0 \u00a0=\u00a0 \u00a0Body\u00a0 \u00a0=\u00a0 \u00a03 paragraphs<br \/>\n<span style=\"color: #0000ff;\"><strong>\u2022<\/strong><\/span>\u00a0\u00a0\u00a0\u00a0 Ending <span style=\"color: #0000ff;\"><strong>(E)<\/strong><\/span>\u00a0 \u00a0=\u00a0 \u00a0Conclusion\u00a0 \u00a0=\u00a0\u00a0 1 paragraph<\/p>\n<p>To begin with, the paragraph count for each part (<span style=\"color: #0000ff;\"><strong>B<\/strong><\/span>, <span style=\"color: #0000ff;\"><strong>M<\/strong><\/span>, and <span style=\"color: #0000ff;\"><strong>E<\/strong><\/span>) of a five-paragraph essay and also for all of the combined parts is a Fibonacci number. Take a look: <span style=\"color: #0000ff;\"><strong>B<\/strong><\/span> = 1; <span style=\"color: #0000ff;\"><strong>M<\/strong><\/span> = 3; <span style=\"color: #0000ff;\"><strong>E<\/strong><\/span> = 1. Additionally, <span style=\"color: #0000ff;\"><strong>B<\/strong><\/span>\u00a0and <span style=\"color: #0000ff;\"><strong>E<\/strong><\/span> together = 2. And of course, the total count for the whole essay = 5. All of these numbers (1, 1, 2, 3, 5) are Fibonacci Numbers.<\/p>\n<p>However, what makes the five-paragraph essay an academic phenomenon is the proportions, and in particular the proportion between the <span style=\"color: #0000ff;\"><strong>M<\/strong><\/span> (the content) and the helping parts, the <span style=\"color: #0000ff;\"><strong>B<\/strong><\/span> and <span style=\"color: #0000ff;\"><strong>E<\/strong><\/span>. Put simply, the five-paragraph essay has the most perfect proportions of B, M, and E available. On its surface the five-paragraph essay is proportioned like this: <span style=\"color: #0000ff;\"><strong>P1<\/strong><\/span> = 20%; <span style=\"color: #0000ff;\"><strong>P2<\/strong><\/span> = 20%; <span style=\"color: #0000ff;\"><strong>P3<\/strong><\/span> = 20%; <span style=\"color: #0000ff;\"><strong>P4<\/strong><\/span> = 20%; and <span style=\"color: #0000ff;\"><strong>P5<\/strong><\/span> = 20%. As such, the <span style=\"color: #0000ff;\"><strong>B<\/strong><\/span> and <span style=\"color: #0000ff;\"><strong>E<\/strong><\/span> together is 40%, and the <span style=\"color: #0000ff;\"><strong>M<\/strong><\/span> is 60%. These percentages are already extremely close to the Golden Ration percentages of 38.2% and 61.8%. And since introduction paragraphs and conclusion paragraphs are usually a touch shorter than the body paragraphs they enclose, we come even closer to the Golden Ratio.<\/p>\n<h3>Proof<\/h3>\n<p>As I mentioned, I needed to examine just four published five-paragraph essays before I found one that matched the Golden Ratio to near perfection. <strong>Once again, we are looking at the ratio of the body paragraphs to the whole.<\/strong><\/p>\n<p>Here is a link to that Five-Paragraph Golden Ratio Essay:<\/p>\n<p style=\"padding-left: 30px;\"><span style=\"text-decoration: underline;\"><a href=\"http:\/\/grammar.ccc.commnet.edu\/grammar\/five_par.htm\" target=\"_blank\" rel=\"noopener\"><strong>http:\/\/grammar.ccc.commnet.edu\/grammar\/five_par.htm<\/strong><\/a><\/span><\/p>\n<p>Here is how the word count on that five-paragraph essay breaks down:<\/p>\n<p><strong><span style=\"color: #0000ff;\">\u2022<\/span>\u00a0<\/strong>\u00a0\u00a0 Total Words: 591<\/p>\n<p><span style=\"color: #0000ff;\"><strong>\u2022<\/strong><\/span>\u00a0\u00a0\u00a0 Words in Paragraph 1 = 155<br \/>\n<span style=\"color: #0000ff;\"><strong>\u2022<\/strong><\/span>\u00a0\u00a0\u00a0 Words in Paragraph 2 = 101<br \/>\n<span style=\"color: #0000ff;\"><strong>\u2022<\/strong><\/span>\u00a0\u00a0 \u00a0Words in Paragraph 3 = 155<br \/>\n<span style=\"color: #0000ff;\"><strong>\u2022<\/strong><\/span>\u00a0\u00a0 \u00a0Words in Paragraph 4 = 106<br \/>\n<span style=\"color: #0000ff;\"><strong>\u2022<\/strong><\/span>\u00a0\u00a0\u00a0 Words in Paragraph 5 = 74<\/p>\n<p><span style=\"color: #0000ff;\"><strong>\u2022<\/strong><\/span>\u00a0\u00a0\u00a0 Words in P1 and P5 = 229<br \/>\n<span style=\"color: #0000ff;\">\u2022<\/span>\u00a0\u00a0 \u00a0Words in P2, P3, P4 = 362<\/p>\n<p><strong>Here is the equation that reveals the Golden Ratio:<\/strong><\/p>\n<h3 style=\"padding-left: 60px;\"><span style=\"color: #ff0000;\">Words in P2, P3, P4 = 362<\/span><br \/>\n<span style=\"color: #ff0000;\">&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8211;\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 = .613<\/span><br \/>\n<span style=\"color: #ff0000;\">Total Words: 591<\/span><\/h3>\n<p>In case you were not sure, the part in red above is a division problem. The body of that five-paragraph essay compared to the whole matches to near perfection the Golden Ratio. The body is 61.3% of the whole essay. Remember: The Golden Ratio is 61.8%. It missed the Golden Ratio by one-half of one percent (.5%). I rest my case!<\/p>\n<h3>Significance<\/h3>\n<p>I\u2019ve always thought that on some level most people intuitively understood that it\u2019s the proportions that make the five-paragraph essay what it is. After all, we all understand that <em>Goldilocks and the Two Bears<\/em> would be a far less effective tale than <em>Goldilocks and the Three Bears<\/em>. I\u2019ll admit, I was a little surprised at how easily I found a near perfect example of a Five-Paragraph Golden Ratio Essay.<\/p>\n<p>Now, I\u2019m not suggesting we use the Golden Ratio in teaching writing. I am suggesting that this approximation of the Golden Ratio is why the five-paragraph essay has caught on. When students fully develop the introduction, the body paragraphs, and the conclusion, they will likely come close to creating a Golden Ratio within their writing. And that\u2019s not to be taken lightly\u2014but it\u2019s also not a goal.\u00a0 On the other hand, Leonardo da Vinci might suggest that it should be.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>What\u2019s So Special About The Five-Paragraph Essay? Recently, a student asked me what made the five-paragraph essay so important\u2014so special. In short, the student was asking why five paragraphs? Why not three or four or six or seven? Why five? I explained that in my opinion, the five-paragraph essay is more of an instructional technique [&hellip;]<\/p>\n","protected":false},"author":4,"featured_media":1946,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_et_pb_use_builder":"","_et_pb_old_content":"","_et_gb_content_width":"","footnotes":""},"categories":[160],"tags":[361,122,124,150,55],"class_list":["post-1561","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-how-to-teach-essay-writing","tag-beginning-middle-ending","tag-elementary-essay-writing","tag-essay-writing-middle-school","tag-five-paragraph-essay","tag-how-to-teach-writing"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/patternbasedwriting.com\/elementary_writing_success\/wp-json\/wp\/v2\/posts\/1561","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/patternbasedwriting.com\/elementary_writing_success\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/patternbasedwriting.com\/elementary_writing_success\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/patternbasedwriting.com\/elementary_writing_success\/wp-json\/wp\/v2\/users\/4"}],"replies":[{"embeddable":true,"href":"https:\/\/patternbasedwriting.com\/elementary_writing_success\/wp-json\/wp\/v2\/comments?post=1561"}],"version-history":[{"count":32,"href":"https:\/\/patternbasedwriting.com\/elementary_writing_success\/wp-json\/wp\/v2\/posts\/1561\/revisions"}],"predecessor-version":[{"id":1580,"href":"https:\/\/patternbasedwriting.com\/elementary_writing_success\/wp-json\/wp\/v2\/posts\/1561\/revisions\/1580"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/patternbasedwriting.com\/elementary_writing_success\/wp-json\/wp\/v2\/media\/1946"}],"wp:attachment":[{"href":"https:\/\/patternbasedwriting.com\/elementary_writing_success\/wp-json\/wp\/v2\/media?parent=1561"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/patternbasedwriting.com\/elementary_writing_success\/wp-json\/wp\/v2\/categories?post=1561"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/patternbasedwriting.com\/elementary_writing_success\/wp-json\/wp\/v2\/tags?post=1561"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}