{"id":864,"date":"2023-09-27T08:15:19","date_gmt":"2023-09-27T08:15:19","guid":{"rendered":"http:\/\/localhost\/ecole9ja\/?p=864"},"modified":"2023-09-27T08:19:17","modified_gmt":"2023-09-27T08:19:17","slug":"week-4-jss-2-first-term-mathematics-lesson-notes","status":"publish","type":"post","link":"https:\/\/ecolebooks.com\/nigeria\/posts\/week-4-jss-2-first-term-mathematics-lesson-notes\/","title":{"rendered":"Week 4 – Jss 2 First Term Mathematics Lesson Notes"},"content":{"rendered":"

WEEK 4\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0FRACTIONS (TYPES OF FRACTIONS), RATIO AND PERCENTAGES
\n<\/strong>Fraction<\/strong> is a small part or item forming a piece of a whole. It is the quotient of the rational numbers.
\nTypes of Fractions
\n<\/strong>EQUIVALENT FRACTIONS: Examples are 2\/5 = 4\/10 = 8\/20 = 16\/40
\nIMPROPER FRACTIONS: Examples are 13\/2, 100\/7, 67\/5,102\/5
\nMIXED FRACTIONS: 72\/3, 91\/8, 1421\/2 etc.<\/p>\n

\u00a0RATIOS, DECIMAL AND PERCENTAGE
\n<\/strong>RATIO is the relative magnitudes of two quantities (usually expressed as a quotient).
\nExample 1: In a bus station, the ratio of men to women is 2:5 (a) what fraction of the people are men (b) what fraction of the people
\nSolution:
\n2:5 = 2+5 = 7
\nThe fraction of men = 2\/7 (i.e. the fraction of men over the total fraction)
\nThe fraction of women = 5\/7 (i.e. the fraction of women over the total fraction)
\nExample 2: The population of a country is estimated to be 12 million people. The last survey reveals that 40% were boys, 30% were girls, 10% were men and 20% were women. Express the composition in ratio and evaluate the estimate number of people in each categories.
\nSolution:
\n40% (boys)\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a030% (girls)\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a020% (women)\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a010% (men)
\nStep 1: eliminate the percentage first = \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a040\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a030\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a020\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a010
\nStep 2: divide through by to to reduce the value =\u00a0\u00a0\u00a0\u00a0 4\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a03\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a02\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 1
\nTherefore we have 4:3:2:1 = 4 + 3 + 2 + 1 = 10
\nStep 3: find the people for each categories.
\nMEN = 1\/10 * 12\u00a0000\u00a0000 = 1\u00a0200\u00a0000 (ZERO CANCEL ZERO)
\nWOMEN = 2\/10 * 12\u00a0000\u00a0000 = 2\u00a0400\u00a0000 (ZERO CANCEL ZERO)
\nGIRLS = 3\/10* 12\u00a0000\u00a0000 = 3\u00a0600\u00a0000 (ZERO CANCEL ZERO)
\nBOYS = 4\/10 * 12\u00a0000\u00a0000 = 4\u00a0800\u00a0000 (ZERO CANCEL ZERO)
\nTHEREFORE: 4\u00a0800\u00a0000 + 3\u00a0600\u00a0000 + 2\u00a0400\u00a0000 + 1\u00a0200\u00a0000 = 12\u00a0000\u00a0000.<\/p>\n

\u00a0<\/p>\n

FRACTION AND DECIMALS TO PERCENTAGES
\n<\/h2>\n

\u00a0Example 1: Express the following fraction to percentage (a) 5\/12 (b) 120\/500 (c) 0.009
\nSolution:
\n5\/12 * 100 = 500\/ 12 = 412\/3\u00a0\u00a0\u00a0\u00a0
\n120\/500 * 100 = 24%
\n0.009 = 9\/1000 * 100 = 0.9%<\/p>\n

\u00a0ASSESSMENT
\n<\/strong>ESSENTIAL MATHEMATICS BOOK 2
\nEXERCISE 4.1 NO 1 (I, J, K, L), NO 4 (A, B, F, G) PAGE 44
\nEXERCISE 4.3 NO 6 AND 7. PAGE 47.<\/p>\n","protected":false},"excerpt":{"rendered":"

WEEK 4\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0FRACTIONS (TYPES OF FRACTIONS), RATIO AND PERCENTAGES Fraction is a small part or item…<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1,95],"tags":[],"class_list":["post-864","post","type-post","status-publish","format-standard","hentry","category-posts","category-first-term-jss-2-mathematics"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/ecolebooks.com\/nigeria\/wp-json\/wp\/v2\/posts\/864","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/ecolebooks.com\/nigeria\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/ecolebooks.com\/nigeria\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/ecolebooks.com\/nigeria\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/ecolebooks.com\/nigeria\/wp-json\/wp\/v2\/comments?post=864"}],"version-history":[{"count":1,"href":"https:\/\/ecolebooks.com\/nigeria\/wp-json\/wp\/v2\/posts\/864\/revisions"}],"predecessor-version":[{"id":865,"href":"https:\/\/ecolebooks.com\/nigeria\/wp-json\/wp\/v2\/posts\/864\/revisions\/865"}],"wp:attachment":[{"href":"https:\/\/ecolebooks.com\/nigeria\/wp-json\/wp\/v2\/media?parent=864"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/ecolebooks.com\/nigeria\/wp-json\/wp\/v2\/categories?post=864"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/ecolebooks.com\/nigeria\/wp-json\/wp\/v2\/tags?post=864"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}