{"id":140,"date":"2019-10-14T03:47:37","date_gmt":"2019-10-14T03:47:37","guid":{"rendered":"http:\/\/blog.newtonchineseschool.org\/lilijia\/?p=140"},"modified":"2019-10-14T03:50:08","modified_gmt":"2019-10-14T03:50:08","slug":"aops_cp-week-6","status":"publish","type":"post","link":"https:\/\/blog.newtonchineseschool.org\/lilijia\/2019\/10\/14\/aops_cp-week-6\/","title":{"rendered":"AOPS_CP Week 6"},"content":{"rendered":"<p><strong>Chapter 5: More with Combinations<\/strong><\/p>\n<p><em><strong>Lesson Review<\/strong><\/em><\/p>\n<p><strong>Paths on a grid<\/strong>:\u00a0The solution to the general problem is if you must take\u00a0<span id=\"MathJax-Element-9-Frame\" class=\"MathJax\" style=\"margin: 0px;padding: 0px;border: 0px;font-style: normal;font-weight: 400;line-height: normal;font-family: Georgia, 'Times New Roman', Times, serif;font-size: 15px;vertical-align: baseline;text-indent: 0px;text-align: left;letter-spacing: normal;float: none;direction: ltr;color: #242729;background-color: #ffffff\"><span class=\"MJX_Assistive_MathML\">X<\/span><\/span>\u00a0right steps, and\u00a0<span id=\"MathJax-Element-10-Frame\" class=\"MathJax\" style=\"margin: 0px;padding: 0px;border: 0px;font-style: normal;font-weight: 400;line-height: normal;font-family: Georgia, 'Times New Roman', Times, serif;font-size: 15px;vertical-align: baseline;text-indent: 0px;text-align: left;letter-spacing: normal;float: none;direction: ltr;color: #242729;background-color: #ffffff\"><span id=\"MathJax-Span-23\" class=\"math\"><span id=\"MathJax-Span-24\" class=\"mrow\"><span id=\"MathJax-Span-25\" class=\"mi\">Y<\/span><\/span><\/span><span class=\"MJX_Assistive_MathML\">\u00a0up<\/span><\/span>\u00a0steps then the number of routes is simply the ways of choosing where to take the\u00a0right (or up) steps. i.e.<\/p>\n<p><a href=\"http:\/\/blog.newtonchineseschool.org\/lilijia\/files\/2019\/10\/Annotation-2019-10-13-233851.png\"><img loading=\"lazy\" class=\"alignnone size-full wp-image-141\" src=\"http:\/\/blog.newtonchineseschool.org\/lilijia\/files\/2019\/10\/Annotation-2019-10-13-233851.png\" alt=\"Annotation 2019-10-13 233851\" width=\"283\" height=\"91\" \/><\/a><\/p>\n<p>Combine the<strong> counting techniques:<\/strong> complementary counting or casework; overcounting strategies, and so on.<\/p>\n<p><strong>Distinguishability<\/strong> matters (see section 5.4, examples of the balls and boxes).<\/p>\n<p>&nbsp;<\/p>\n<p><em><strong>Homework<\/strong><\/em><\/p>\n<p>Page 83, Ex 5.2.1 (classwork), 5.2.2, 5.2.3,<\/p>\n<p>Page 88, Ex 5.3.1, 5.3.2, 5.3.3, 5.3.5<\/p>\n<p>Page 91, Ex 5.4.1 (classwork), 5.4.2, 5.4.3<\/p>\n<p>Page 93, Ex 5.10<\/p>\n<p><em><strong>Extra Resources<\/strong><\/em><\/p>\n<p><iframe loading=\"lazy\" width=\"500\" height=\"375\" src=\"https:\/\/www.youtube.com\/embed\/trIkPmwTSyA?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen><\/iframe><\/p>\n<p>I am very glad to see that our students are making steady progress, especially in the quality of the homework. Keep up the good work!<\/p>\n<p>Look forward to meeting you all next week. We miss our dear friends Annabelle, Jasmine, and Julia today:)<\/p>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Chapter 5: More with Combinations Lesson Review Paths on a grid:\u00a0The solution to the general problem is if you must take\u00a0X\u00a0right steps, and\u00a0Y\u00a0up\u00a0steps then the number of routes is simply the ways of choosing where to take the\u00a0right (or up) steps. i.e. Combine the counting techniques: complementary counting or casework; overcounting strategies, and so on. [&hellip;]<\/p>\n","protected":false},"author":157,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"ngg_post_thumbnail":0},"categories":[1],"tags":[],"_links":{"self":[{"href":"https:\/\/blog.newtonchineseschool.org\/lilijia\/wp-json\/wp\/v2\/posts\/140"}],"collection":[{"href":"https:\/\/blog.newtonchineseschool.org\/lilijia\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blog.newtonchineseschool.org\/lilijia\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blog.newtonchineseschool.org\/lilijia\/wp-json\/wp\/v2\/users\/157"}],"replies":[{"embeddable":true,"href":"https:\/\/blog.newtonchineseschool.org\/lilijia\/wp-json\/wp\/v2\/comments?post=140"}],"version-history":[{"count":3,"href":"https:\/\/blog.newtonchineseschool.org\/lilijia\/wp-json\/wp\/v2\/posts\/140\/revisions"}],"predecessor-version":[{"id":144,"href":"https:\/\/blog.newtonchineseschool.org\/lilijia\/wp-json\/wp\/v2\/posts\/140\/revisions\/144"}],"wp:attachment":[{"href":"https:\/\/blog.newtonchineseschool.org\/lilijia\/wp-json\/wp\/v2\/media?parent=140"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blog.newtonchineseschool.org\/lilijia\/wp-json\/wp\/v2\/categories?post=140"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blog.newtonchineseschool.org\/lilijia\/wp-json\/wp\/v2\/tags?post=140"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}