{"id":227,"date":"2020-01-06T03:19:30","date_gmt":"2020-01-06T03:19:30","guid":{"rendered":"http:\/\/blog.newtonchineseschool.org\/lilijia\/?p=227"},"modified":"2020-01-06T03:19:30","modified_gmt":"2020-01-06T03:19:30","slug":"aops_cp-week-14-the-binomial-theorem","status":"publish","type":"post","link":"https:\/\/blog.newtonchineseschool.org\/lilijia\/2020\/01\/06\/aops_cp-week-14-the-binomial-theorem\/","title":{"rendered":"AoPS_CP Week 14: The Binomial Theorem"},"content":{"rendered":"\n<p>AoPS_CP Week 14: The Binomial Theorem<\/p>\n\n\n\n<p><strong>Lesson Review:<\/strong><\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter\"><img loading=\"lazy\" width=\"244\" height=\"64\" src=\"http:\/\/blog.newtonchineseschool.org\/lilijia\/files\/2020\/01\/binomial-theorem.gif\" alt=\"\" class=\"wp-image-228\" \/><\/figure><\/div>\n\n\n\n<ul><li>The first term&#8217;s exponents start at n and go\ndown<\/li><li>The second term&#8217;s exponents start at 0 and go up<\/li><li>Coefficients are from Pascal&#8217;s Triangle, or by\ncalculation using&nbsp; n!\/k!(n-k)!<\/li><\/ul>\n\n\n\n<p><strong>Homework:<\/strong><\/p>\n\n\n\n<ul><li>Page 214: Ex 14.4.1, 14.4.2, 14.4.4, 14.4.5,\n14.4.6<\/li><li>Page 216: Ex 14.8 (e), 14.9, 14.10, 14.11 <\/li><\/ul>\n\n\n\n<p><strong>Other Resources:<\/strong><\/p>\n\n\n\n<ul><li><a href=\"https:\/\/www.mathsisfun.com\/algebra\/binomial-theorem.html\">https:\/\/www.mathsisfun.com\/algebra\/binomial-theorem.html<\/a>\n(highly recommended to read this one!)<\/li><li><a href=\"https:\/\/www.khanacademy.org\/math\/precalculus\/x9e81a4f98389efdf:polynomials\/x9e81a4f98389efdf:binomial\/v\/binomial-theorem\">https:\/\/www.khanacademy.org\/math\/precalculus\/x9e81a4f98389efdf:polynomials\/x9e81a4f98389efdf:binomial\/v\/binomial-theorem<\/a><\/li><li><a href=\"https:\/\/www.khanacademy.org\/math\/precalculus\/x9e81a4f98389efdf:polynomials\/x9e81a4f98389efdf:binomial\/v\/coefficient-in-binomial-expansion\">https:\/\/www.khanacademy.org\/math\/precalculus\/x9e81a4f98389efdf:polynomials\/x9e81a4f98389efdf:binomial\/v\/coefficient-in-binomial-expansion<\/a><\/li><\/ul>\n\n\n\n<p><strong>Something Else:<\/strong><\/p>\n\n\n\n<p>Next week we are going to have our final exam. (Ch 1-6 counts\n30%, Ch 7-14 counts 70%). Please be prepared. <\/p>\n","protected":false},"excerpt":{"rendered":"<p>AoPS_CP Week 14: The Binomial Theorem Lesson Review: The first term&#8217;s exponents start at n and go down The second term&#8217;s exponents start at 0 and go up Coefficients are from Pascal&#8217;s Triangle, or by calculation using&nbsp; n!\/k!(n-k)! Homework: Page 214: Ex 14.4.1, 14.4.2, 14.4.4, 14.4.5, 14.4.6 Page 216: Ex 14.8 (e), 14.9, 14.10, 14.11 [&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\/227"}],"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=227"}],"version-history":[{"count":1,"href":"https:\/\/blog.newtonchineseschool.org\/lilijia\/wp-json\/wp\/v2\/posts\/227\/revisions"}],"predecessor-version":[{"id":229,"href":"https:\/\/blog.newtonchineseschool.org\/lilijia\/wp-json\/wp\/v2\/posts\/227\/revisions\/229"}],"wp:attachment":[{"href":"https:\/\/blog.newtonchineseschool.org\/lilijia\/wp-json\/wp\/v2\/media?parent=227"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blog.newtonchineseschool.org\/lilijia\/wp-json\/wp\/v2\/categories?post=227"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blog.newtonchineseschool.org\/lilijia\/wp-json\/wp\/v2\/tags?post=227"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}