{"id":763,"date":"2015-03-01T16:28:38","date_gmt":"2015-03-01T21:28:38","guid":{"rendered":"http:\/\/blog.newtonchineseschool.org\/wangweidong\/?p=763"},"modified":"2015-02-27T16:40:22","modified_gmt":"2015-02-27T21:40:22","slug":"math-7a-lesson-3-282015","status":"publish","type":"post","link":"http:\/\/blog.newtonchineseschool.org\/wangweidong\/2015\/03\/01\/math-7a-lesson-3-282015\/","title":{"rendered":"Math 7A, Lesson 3, 3\/1\/2015"},"content":{"rendered":"<p>We study direct proportion and inverse proportion.<\/p>\n<p>When two quantities are related to each other, their changes may follow certain patterns. We study two kinds.<\/p>\n<p>When two quantities, x and y, vary in such a way that y\/x is a constant, they are said to be in direct proportion, or y is said to be directly proportional to x.<\/p>\n<p>We have y\/x = k, where k is a constant. Or y = kx. On a drawing, it is a straight line passing through the origin.<\/p>\n<p>For example, for a car traveling at a constant speed, the distance traveled \u00a0is directly proportional to the time taken. The constant here is known as the speed.<\/p>\n<p>When two quantities, x and y, vary in such a way that xy is a constant, they are said to be in inverse proportion, or y is said to be inversely proportional to x.<\/p>\n<p>We have xy = k, where k is a constant. Or y = k * 1\/x. On a drawing, it is a hyperbola curve.<\/p>\n<p>An example can be the speed and the time for a car travelling uniformly from A to B.<\/p>\n<p>Homework:<\/p>\n<p>Page 45: #15 &#8211; #20, #23 &#8211; #25.<\/p>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>We study direct proportion and inverse proportion. When two quantities are related to each other, their changes may follow certain patterns. We study two kinds. When two quantities, x and y, vary in such a way that y\/x is a constant, they are said to be in direct proportion, or y is said to be [&hellip;]<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"ngg_post_thumbnail":0},"categories":[4,3],"tags":[],"_links":{"self":[{"href":"http:\/\/blog.newtonchineseschool.org\/wangweidong\/wp-json\/wp\/v2\/posts\/763"}],"collection":[{"href":"http:\/\/blog.newtonchineseschool.org\/wangweidong\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/blog.newtonchineseschool.org\/wangweidong\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/blog.newtonchineseschool.org\/wangweidong\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"http:\/\/blog.newtonchineseschool.org\/wangweidong\/wp-json\/wp\/v2\/comments?post=763"}],"version-history":[{"count":3,"href":"http:\/\/blog.newtonchineseschool.org\/wangweidong\/wp-json\/wp\/v2\/posts\/763\/revisions"}],"predecessor-version":[{"id":765,"href":"http:\/\/blog.newtonchineseschool.org\/wangweidong\/wp-json\/wp\/v2\/posts\/763\/revisions\/765"}],"wp:attachment":[{"href":"http:\/\/blog.newtonchineseschool.org\/wangweidong\/wp-json\/wp\/v2\/media?parent=763"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/blog.newtonchineseschool.org\/wangweidong\/wp-json\/wp\/v2\/categories?post=763"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/blog.newtonchineseschool.org\/wangweidong\/wp-json\/wp\/v2\/tags?post=763"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}