{"id":8639,"date":"2014-02-04T11:58:07","date_gmt":"2014-02-04T03:58:07","guid":{"rendered":"http:\/\/www.intmath.com\/blog\/?p=8639"},"modified":"2019-07-07T11:15:10","modified_gmt":"2019-07-07T03:15:10","slug":"intmath-newsletter-z-table-interactive-graph-ck-12-resource-range-hood","status":"publish","type":"post","link":"https:\/\/www.intmath.com\/blog\/letters\/intmath-newsletter-z-table-interactive-graph-ck-12-resource-range-hood-8639","title":{"rendered":"IntMath Newsletter: z-Table interactive graph, CK-12 resource, range hood"},"content":{"rendered":"<p>4 February 2014  <\/p>\n<p>In this Newsletter:<\/p>\n<p>1. New z-Table interactive graph<br \/>\n2. Resource: CK-12.org <br \/>\n3. Math puzzles<br \/>\n4. Friday math movie: Complex numbers in math class <br \/>\n5. Final thought: Giving <\/p>\n<h2>0. Sorry about the dummy mail<\/h2>\n<p>After I sent the last IntMath Newsletter, I made some updates to the script. When testing it, unfortunately some of my test mails (which contained text like &quot;<em>Lorem ipsum dolor sit amet<\/em>&quot;) went out to a small number of you. I'm very sorry about that! <\/p>\n<h2>1. New z-Table interactive graph<\/h2>\n<table cellpadding=\"5\">\n<tbody>\n<tr>\n<td><a href=\"https:\/\/www.intmath.com\/counting-probability\/normal-distribution-graph-interactive.php\"><img loading=\"lazy\" src=\"\/blog\/wp-content\/images\/2014\/02\/z-curve_th2.gif\" alt=\"z-curve interactive\" width=\"128\" height=\"100\" border=\"0\" \/><\/a><\/td>\n<td>\n<p> Some students get lost understanding what normal probability distributions are all about. <\/p>\n<p>You can investigate the meaning of the z-table using this new interactive graph.<\/p>\n<p><a href=\"https:\/\/www.intmath.com\/counting-probability\/normal-distribution-graph-interactive.php\">Normal Probability Distribution Graph Interactive<\/a><\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>Here's some background on the topic:<\/p>\n<p><a href=\"https:\/\/www.intmath.com\/counting-probability\/14-normal-probability-distribution.php\">Normal Probability Distribution<\/a><\/p>\n<p><a href=\"https:\/\/www.intmath.com\/counting-probability\/z-table.php\">The z-Table<\/a>   <\/p>\n<p>And here's some background on the new applet:<\/p>\n<p><a href=\"https:\/\/www.intmath.com\/blog\/mathematics\/new-z-table-interactive-graph-8661\">New z-Table interactive graph<\/a><\/p>\n<h2>2. Resource: CK-12.org<\/h2>\n<table cellpadding=\"5\">\n<tbody>\n<tr>\n<td><a href=\"http:\/\/www.ck12.org\/student\/\"><img loading=\"lazy\" src=\"\/blog\/wp-content\/images\/2014\/02\/ck-12.png\" alt=\"CK-12\" width=\"128\" height=\"100\" border=\"0\" \/><\/a><\/td>\n<td>\n<p><a href=\"http:\/\/www.ck12.org\/student\/\">CK-12.org<\/a> is a large collection of free math and science resources. There's lessons, self-testing quizzes, videos and interactive applets. As one of the students says:<\/p>\n<blockquote>\n<p>&quot;It helps exceptionally with additional practice and study sessions outside of class time.&quot;  \t\t\t\t\t\t&mdash; Kunal M. <\/p>\n<\/blockquote>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>It's worth a look!  <\/p>\n<h2>3. Math puzzles<\/h2>\n<p>The <a href=\"https:\/\/www.intmath.com\/blog\/letters\/intmath-newsletter-open-source-textbooks-math-of-beauty-8609#puzzle\">puzzle in the last IntMath Newsletter<\/a> asked about the percentage of pages in a book containing the number 5. <\/p>\n<p>Correct <a href=\"https:\/\/www.intmath.com\/blog\/letters\/intmath-newsletter-open-source-textbooks-math-of-beauty-8609#comments\">answers with explanation<\/a> were given by <strong>Michael<\/strong>, <strong>Nicos<\/strong> and <strong>Sai Krishna<\/strong>, and <b>Sheldon<\/b> had the right number of pages. It was interesting to see the different approaches taken by the solvers. Mathematics rarely has one &quot;correct&quot; way of going about things. <\/p>\n<p>Also, some of you questioned whether &quot;a 5&quot; means &quot;one 5 only&quot; or &quot;at least one 5&quot;. Interpreting math word questions is one of the biggest challenges people face - reading skills are important in math, too! <\/p>\n<p id=\"puzzle\"><strong>New math puzzle<\/strong><\/p>\n<p>I received a letter from John recently. His problem is a really interesting one because it involves many areas of mathematics. Here's what he wrote: <\/p>\n<blockquote>\n<p> I am a consultant to cabinet manufacturers. I program their cabinet software to calculate and cutout their cabinet parts on CNC (computer numerical control) machines. A lot of cabinet companies create hoods that go over stoves that are curved on both sides and front. I need to calculate the joint of that curve as if it is laying flat. How do you calculate this? <\/p>\n<p>Here is a picture of the hood.<\/p>\n<p> <img loading=\"lazy\" src=\"\/blog\/wp-content\/images\/2014\/01\/curved-hood-example4.jpg\" alt=\"curved range hood\" height=\"232\" width=\"200\" \/><\/p>\n<p>When viewed from the sides, the curves are  arcs of circles, and the very top of the curve is vertical.<\/p>\n<p>The width of the front face at the bottom is 60 cm, at the top is 30 cm wide and the (final) height of the curved portion is 50 cm. <\/p>\n<p>Basically what I need is a formula to plot the Y coordinate of the curve given the X or vice-versa when the piece of sheet metal is laid out flat.<\/p>\n<\/blockquote>\n<p>Once you have a solution, you are encouraged to make a model of it so you can be sure it works as expected. Take a photo of your model and upload it to Flickr, Dropbox or wherever, and embed the photo in your response (using something like &lt;img src=&quot;LinkToYourImage&quot;&gt;), or if that's too troublesome, email me your photo. <\/p>\n<p>Leave your responses <a href=\"https:\/\/www.intmath.com\/blog\/letters\/intmath-newsletter-z-table-interactive-graph-ck-12-resource-range-hood-8639#respond\">here<\/a>.<\/p>\n<h2>4. Friday math movie: Complex numbers in math class<\/h2>\n<table>\n<tbody>\n<tr>\n<td><a href=\"https:\/\/www.intmath.com\/blog\/videos\/friday-math-movie-complex-numbers-in-math-class-7817\"><img loading=\"lazy\" src=\"\/blog\/wp-content\/images\/2014\/01\/complex-numbers.jpg\" alt=\"Complex number lesson\" width=\"128\" height=\"100\" \/><\/a><\/td>\n<td>\n<p> This is a very creative way to present a lesson - funny, too.<\/p>\n<p><a href=\"https:\/\/www.intmath.com\/blog\/videos\/friday-math-movie-complex-numbers-in-math-class-7817\">Friday math movie: Complex numbers in math class<\/a><\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h2>5. Final thought: Giving <\/h2>\n<p>Everyone is searching for happiness, and too many people try to find it in gadgets, cars, or other physical objects. Winston Churchill said: <\/p>\n<blockquote>\n<p>We make a living by what we get, but we make a life by what we give. [Winston Churchill]<\/p>\n<\/blockquote>\n<p>Until next time, enjoy whatever you learn.<\/p>\n<p class=\"alt\">See the <a href=\"https:\/\/www.intmath.com\/blog\/letters\/intmath-newsletter-z-table-interactive-graph-ck-12-resource-range-hood-8639#comments\" id=\"comms\">4 Comments<\/a> below.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>In this Newsletter:<\/p>\n<p>1. New z-Table interactive graph<br \/>\n2. Resource: CK-12.org <br \/>\n3. Math puzzles<br \/>\n4. Friday math movie: Complex numbers in math class <br \/>\n5. Final thought: Giving <\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_mo_disable_npp":""},"categories":[104],"tags":[],"_links":{"self":[{"href":"https:\/\/www.intmath.com\/blog\/wp-json\/wp\/v2\/posts\/8639"}],"collection":[{"href":"https:\/\/www.intmath.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.intmath.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.intmath.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.intmath.com\/blog\/wp-json\/wp\/v2\/comments?post=8639"}],"version-history":[{"count":1,"href":"https:\/\/www.intmath.com\/blog\/wp-json\/wp\/v2\/posts\/8639\/revisions"}],"predecessor-version":[{"id":12016,"href":"https:\/\/www.intmath.com\/blog\/wp-json\/wp\/v2\/posts\/8639\/revisions\/12016"}],"wp:attachment":[{"href":"https:\/\/www.intmath.com\/blog\/wp-json\/wp\/v2\/media?parent=8639"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.intmath.com\/blog\/wp-json\/wp\/v2\/categories?post=8639"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.intmath.com\/blog\/wp-json\/wp\/v2\/tags?post=8639"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}