{"id":262,"date":"2020-01-20T04:57:19","date_gmt":"2020-01-20T04:57:19","guid":{"rendered":"http:\/\/blog.newtonchineseschool.org\/lilijia\/?p=262"},"modified":"2020-01-20T05:13:17","modified_gmt":"2020-01-20T05:13:17","slug":"aops_number_theory-2020-spring-week-1-integer","status":"publish","type":"post","link":"https:\/\/blog.newtonchineseschool.org\/lilijia\/2020\/01\/20\/aops_number_theory-2020-spring-week-1-integer\/","title":{"rendered":"AoPS_Number_Theory 2020 Spring Week 1:  Integer"},"content":{"rendered":"\n<p><strong>AoPS_Number_Theory 2020\nSpring Week 1: &nbsp;Linear Models<\/strong><\/p>\n\n\n\n<p>Welcome to the new course of AoPS: Intro to Number Theory! Here\nis the course information and teaching schedule: <a href=\"http:\/\/blog.newtonchineseschool.org\/lilijia\/number-theory\/\">http:\/\/blog.newtonchineseschool.org\/lilijia\/number-theory\/<\/a><\/p>\n\n\n\n<p>Welcome new friend Alex! <\/p>\n\n\n\n<p><strong>Lesson Review:<\/strong><\/p>\n\n\n\n<ul><li>We did a pretest and went through all the\nproblems in class. Make sure you get the basic skills for this class (especially:\nfinding divisors and remainders, exponents, solving quadratic equations)<\/li><li>Integers, natural numbers, whole numbers,\ncounting numbers<\/li><li>Perfect square\/cube\/power<\/li><li>Remainder<\/li><li>n\/0 is undefined<\/li><li>a proper divisor of an integer n is a positive\ndivisor of n other than n.<\/li><li>We commonly write n|k. This means that n is a\ndivisor of k. (n is the divisor, and k is the dividend) <\/li><li>If a|b and b|c, then a|c, i.e. divisibility is a\ntransitive relation.<\/li><\/ul>\n\n\n\n<p><strong>Homework: <\/strong><\/p>\n\n\n\n<ul><li>Page 6: Ex 1.2.3<\/li><li>Page 10: Ex 1.3.5, 1.3.9<\/li><li>Page 14: Ex 1.4.1<\/li><li>Page 18: Ex 1.5.1 (j) (i)<\/li><li>Page 19: Ex 1.6.1, 1.6.2<\/li><li>Page 24: Ex 1.17, 1.18 (*1.19 bonus)<\/li><\/ul>\n\n\n\n<p><strong>Other Resources:<\/strong><\/p>\n\n\n\n<ul><li><a href=\"https:\/\/www.khanacademy.org\/math\/pre-algebra\/pre-algebra-factors-multiples\/pre-algebra-divisibility-tests\/v\/divisibility-tests-for-2-3-4-5-6-9-10\">https:\/\/www.khanacademy.org\/math\/pre-algebra\/pre-algebra-factors-multiples\/pre-algebra-divisibility-tests\/v\/divisibility-tests-for-2-3-4-5-6-9-10<\/a><\/li><li><a href=\"https:\/\/artofproblemsolving.com\/wiki\/index.php\/Divisibility\">https:\/\/artofproblemsolving.com\/wiki\/index.php\/Divisibility<\/a><\/li><li><a href=\"https:\/\/en.wikipedia.org\/wiki\/Divisor\">https:\/\/en.wikipedia.org\/wiki\/Divisor<\/a><\/li><li><a href=\"https:\/\/blog.rinatussenov.com\/useful-math-divisibility-signs-fbc08baf20c6\">https:\/\/blog.rinatussenov.com\/useful-math-divisibility-signs-fbc08baf20c6<\/a><\/li><\/ul>\n\n\n\n<p>No school next Sunday. Happy Lunar New Year! See you on 2\/2 (We will learn Chapter 2: primes and composites).<\/p>\n\n\n\n<p>Please join in the Wechat Group:<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter\"><img loading=\"lazy\" width=\"206\" height=\"300\" src=\"http:\/\/blog.newtonchineseschool.org\/lilijia\/files\/2020\/01\/\u5fae\u4fe1\u56fe\u7247_20200119235642-206x300.jpg\" alt=\"\" class=\"wp-image-263\" srcset=\"https:\/\/blog.newtonchineseschool.org\/lilijia\/files\/2020\/01\/\u5fae\u4fe1\u56fe\u7247_20200119235642-206x300.jpg 206w, https:\/\/blog.newtonchineseschool.org\/lilijia\/files\/2020\/01\/\u5fae\u4fe1\u56fe\u7247_20200119235642-768x1121.jpg 768w, https:\/\/blog.newtonchineseschool.org\/lilijia\/files\/2020\/01\/\u5fae\u4fe1\u56fe\u7247_20200119235642-702x1024.jpg 702w, https:\/\/blog.newtonchineseschool.org\/lilijia\/files\/2020\/01\/\u5fae\u4fe1\u56fe\u7247_20200119235642.jpg 1080w\" sizes=\"(max-width: 206px) 100vw, 206px\" \/><\/figure><\/div>\n","protected":false},"excerpt":{"rendered":"<p>AoPS_Number_Theory 2020 Spring Week 1: &nbsp;Linear Models Welcome to the new course of AoPS: Intro to Number Theory! Here is the course information and teaching schedule: http:\/\/blog.newtonchineseschool.org\/lilijia\/number-theory\/ Welcome new friend Alex! Lesson Review: We did a pretest and went through all the problems in class. Make sure you get the basic skills for this class [&hellip;]<\/p>\n","protected":false},"author":157,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"ngg_post_thumbnail":0},"categories":[4],"tags":[],"_links":{"self":[{"href":"https:\/\/blog.newtonchineseschool.org\/lilijia\/wp-json\/wp\/v2\/posts\/262"}],"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=262"}],"version-history":[{"count":2,"href":"https:\/\/blog.newtonchineseschool.org\/lilijia\/wp-json\/wp\/v2\/posts\/262\/revisions"}],"predecessor-version":[{"id":265,"href":"https:\/\/blog.newtonchineseschool.org\/lilijia\/wp-json\/wp\/v2\/posts\/262\/revisions\/265"}],"wp:attachment":[{"href":"https:\/\/blog.newtonchineseschool.org\/lilijia\/wp-json\/wp\/v2\/media?parent=262"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blog.newtonchineseschool.org\/lilijia\/wp-json\/wp\/v2\/categories?post=262"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blog.newtonchineseschool.org\/lilijia\/wp-json\/wp\/v2\/tags?post=262"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}