{"id":400,"date":"2023-09-25T14:12:32","date_gmt":"2023-09-25T14:12:32","guid":{"rendered":"http:\/\/localhost\/ecole9ja\/?p=400"},"modified":"2023-09-25T14:13:59","modified_gmt":"2023-09-25T14:13:59","slug":"week-8-jss-1-second-term-mathematics-lesson-notes","status":"publish","type":"post","link":"https:\/\/ecolebooks.com\/nigeria\/posts\/week-8-jss-1-second-term-mathematics-lesson-notes\/","title":{"rendered":"Week 8 &#8211; Jss 1 Second Term Mathematics Lesson Notes"},"content":{"rendered":"<p>WEEK 7 MID TERM<br \/>\nPERIODIC TEST.<br \/>\n<strong>WEEK 8<\/strong>\u00a0\u00a0\u00a0\u00a0<strong>ADDITION AND SUBTRACTION (DIRECTED NUMBERS<br \/>\n<\/strong><br \/>\n\u00a0<strong>8.1\u00a0\u00a0\u00a0\u00a0ADDITION AND SUBTRACTION OF DIRECTED NUMBERS.<br \/>\n<\/strong><strong>\u00a0\u00a0\u00a0\u00a0<\/strong>In a <strong>horizontal number line:<br \/>\n<\/strong><\/p>\n<ol>\n<li>When <strong>adding, start<\/strong> from the first number, count right along the number line.<strong><br \/>\n\t\t\t\t<\/strong><\/li>\n<li>\n<div>When <strong>subtracting, start <\/strong>from the first number, count left along the number line.<strong><br \/>\n\t\t\t\t\t<\/strong><\/div>\n<p>\u00a0<strong>NOTE: that in a horizontal number line, number to the right of zero are positive and to the left are negative.<br \/>\n<\/strong><\/li>\n<\/ol>\n<p><strong>Example 8.1:<\/strong> use number line to find the value of the (a) 3 + 5, (b) -4 \u2013 6, (c) -9 + 12<br \/>\n<strong>Solution:<br \/>\n<\/strong><img decoding=\"async\" align=\"left\" src=\"https:\/\/ecolebooks.com\/nigeria\/wp-content\/uploads\/9jalessonsimages\/092523_1412_Week8Jss11.png\" alt=\"\"\/><\/p>\n<ol>\n<li><img decoding=\"async\" src=\"https:\/\/ecolebooks.com\/nigeria\/wp-content\/uploads\/9jalessonsimages\/092523_1412_Week8Jss12.png\" alt=\"\"\/><img decoding=\"async\" src=\"https:\/\/ecolebooks.com\/nigeria\/wp-content\/uploads\/9jalessonsimages\/092523_1412_Week8Jss13.png\" alt=\"\"\/><img decoding=\"async\" src=\"https:\/\/ecolebooks.com\/nigeria\/wp-content\/uploads\/9jalessonsimages\/092523_1412_Week8Jss14.png\" alt=\"\"\/><img decoding=\"async\" src=\"https:\/\/ecolebooks.com\/nigeria\/wp-content\/uploads\/9jalessonsimages\/092523_1412_Week8Jss15.png\" alt=\"\"\/><img decoding=\"async\" src=\"https:\/\/ecolebooks.com\/nigeria\/wp-content\/uploads\/9jalessonsimages\/092523_1412_Week8Jss16.png\" alt=\"\"\/><img decoding=\"async\" src=\"https:\/\/ecolebooks.com\/nigeria\/wp-content\/uploads\/9jalessonsimages\/092523_1412_Week8Jss17.png\" alt=\"\"\/><img decoding=\"async\" align=\"left\" src=\"https:\/\/ecolebooks.com\/nigeria\/wp-content\/uploads\/9jalessonsimages\/092523_1412_Week8Jss18.png\" alt=\"\"\/><strong><br \/>\n\t\t\t<\/strong><\/li>\n<\/ol>\n<p><strong>-2     -1     0     1     2    3     4     5     6     7     8     9     10     11     12<br \/>\n<\/strong>                                                                           3 + 5 = 8<br \/>\n<img decoding=\"async\" align=\"left\" src=\"https:\/\/ecolebooks.com\/nigeria\/wp-content\/uploads\/9jalessonsimages\/092523_1412_Week8Jss19.png\" alt=\"\"\/><img decoding=\"async\" src=\"https:\/\/ecolebooks.com\/nigeria\/wp-content\/uploads\/9jalessonsimages\/092523_1412_Week8Jss110.png\" alt=\"\"\/><img decoding=\"async\" src=\"https:\/\/ecolebooks.com\/nigeria\/wp-content\/uploads\/9jalessonsimages\/092523_1412_Week8Jss111.png\" alt=\"\"\/><img decoding=\"async\" src=\"https:\/\/ecolebooks.com\/nigeria\/wp-content\/uploads\/9jalessonsimages\/092523_1412_Week8Jss112.png\" alt=\"\"\/><img decoding=\"async\" src=\"https:\/\/ecolebooks.com\/nigeria\/wp-content\/uploads\/9jalessonsimages\/092523_1412_Week8Jss113.png\" alt=\"\"\/><br \/>\n\t<img decoding=\"async\" src=\"https:\/\/ecolebooks.com\/nigeria\/wp-content\/uploads\/9jalessonsimages\/092523_1412_Week8Jss114.png\" alt=\"\"\/><img decoding=\"async\" src=\"https:\/\/ecolebooks.com\/nigeria\/wp-content\/uploads\/9jalessonsimages\/092523_1412_Week8Jss115.png\" alt=\"\"\/><img decoding=\"async\" align=\"left\" src=\"https:\/\/ecolebooks.com\/nigeria\/wp-content\/uploads\/9jalessonsimages\/092523_1412_Week8Jss116.png\" alt=\"\"\/>        (b)<br \/>\n-11    -10    -9       -8    -7     -6     -5     -4    -3     -2     -1     0     1     2     3<br \/>\n\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0(-4 )\u2013(-6) = -10<br \/>\n<img decoding=\"async\" align=\"left\" src=\"https:\/\/ecolebooks.com\/nigeria\/wp-content\/uploads\/9jalessonsimages\/092523_1412_Week8Jss117.png\" alt=\"\"\/><img decoding=\"async\" src=\"https:\/\/ecolebooks.com\/nigeria\/wp-content\/uploads\/9jalessonsimages\/092523_1412_Week8Jss118.png\" alt=\"\"\/><img decoding=\"async\" src=\"https:\/\/ecolebooks.com\/nigeria\/wp-content\/uploads\/9jalessonsimages\/092523_1412_Week8Jss119.png\" alt=\"\"\/><img decoding=\"async\" src=\"https:\/\/ecolebooks.com\/nigeria\/wp-content\/uploads\/9jalessonsimages\/092523_1412_Week8Jss120.png\" alt=\"\"\/><img decoding=\"async\" src=\"https:\/\/ecolebooks.com\/nigeria\/wp-content\/uploads\/9jalessonsimages\/092523_1412_Week8Jss121.png\" alt=\"\"\/><img decoding=\"async\" src=\"https:\/\/ecolebooks.com\/nigeria\/wp-content\/uploads\/9jalessonsimages\/092523_1412_Week8Jss122.png\" alt=\"\"\/><img decoding=\"async\" src=\"https:\/\/ecolebooks.com\/nigeria\/wp-content\/uploads\/9jalessonsimages\/092523_1412_Week8Jss123.png\" alt=\"\"\/><img decoding=\"async\" src=\"https:\/\/ecolebooks.com\/nigeria\/wp-content\/uploads\/9jalessonsimages\/092523_1412_Week8Jss124.png\" alt=\"\"\/><img decoding=\"async\" src=\"https:\/\/ecolebooks.com\/nigeria\/wp-content\/uploads\/9jalessonsimages\/092523_1412_Week8Jss125.png\" alt=\"\"\/><img decoding=\"async\" src=\"https:\/\/ecolebooks.com\/nigeria\/wp-content\/uploads\/9jalessonsimages\/092523_1412_Week8Jss126.png\" alt=\"\"\/><img decoding=\"async\" src=\"https:\/\/ecolebooks.com\/nigeria\/wp-content\/uploads\/9jalessonsimages\/092523_1412_Week8Jss127.png\" alt=\"\"\/><img decoding=\"async\" src=\"https:\/\/ecolebooks.com\/nigeria\/wp-content\/uploads\/9jalessonsimages\/092523_1412_Week8Jss128.png\" alt=\"\"\/><img decoding=\"async\" src=\"https:\/\/ecolebooks.com\/nigeria\/wp-content\/uploads\/9jalessonsimages\/092523_1412_Week8Jss129.png\" alt=\"\"\/><\/p>\n<ol>\n<li>\n<div><img decoding=\"async\" align=\"left\" src=\"https:\/\/ecolebooks.com\/nigeria\/wp-content\/uploads\/9jalessonsimages\/092523_1412_Week8Jss130.png\" alt=\"\"\/>\n\t\t\t<\/div>\n<p>                     -10     -9    -8    -7     -6      -5    -4     -3      -2      -1       0        1        2         3<\/p>\n<p>\u00a0-9 + 12 = 3\n<\/li>\n<\/ol>\n<p>\u00a0<br \/>\n\u00a0<br \/>\n\u00a0<br \/>\n\u00a0<br \/>\n\u00a0<strong>DO THESE:<br \/>\n<\/strong><\/p>\n<ol>\n<li>Draw a suitable horizontal number line to answer the following\n<\/li>\n<li>5 \u2013 8\n<\/li>\n<li>6 \u2013 2\n<\/li>\n<li>(-5) \u2013 (-8)\n<\/li>\n<li>7 + 2\n<\/li>\n<li>\n<div>5 + 8\n<\/div>\n<p>\u00a0<\/li>\n<\/ol>\n<p>2.\u00a0\u00a0\u00a0\u00a0Use the rules to answer the following<\/p>\n<ol>\n<li>+5 &#8211; (+6)\n<\/li>\n<li>25 + (-55)\n<\/li>\n<li>+24 + (+28)\n<\/li>\n<li>18 \u2013 68\n<\/li>\n<li>-7 + 5 &#8211; 2 + 7 -10 -3\n<\/li>\n<\/ol>\n<p>\u00a0<strong>8.2\u00a0\u00a0\u00a0\u00a0RULES FOR ADDITION AND SUBTRACTION<br \/>\n<\/strong><strong>NOTE:<\/strong> You can carry out the addition and subtraction without drawing the number line using the rules below.<\/p>\n<ol>\n<li>\n<div>Replace <strong>the same signs <\/strong>that appear together by a positive sign. [+ +  = +],[ &#8211; &#8211; = -].\n<\/div>\n<p>Examples +7 + (+5) = 7+5 = 12 (same sign gives +)<br \/>\n\u00a0\u00a0\u00a0\u00a0+6 \u2013 (-8) = 6 + 8 = 14 (same sign gives +)\n<\/li>\n<li>\n<div>Replace <strong>two different signs <\/strong>that appear together by a negative sign. [+ &#8211; = -],[- + = -].\n<\/div>\n<p>Examples +8 + (-5) = 8 \u2013 5 = 3 [different sign gives negative]<br \/>\n\u00a0\u00a0\u00a0\u00a0 +9 \u2013 (+4) = 9 \u2013 4 = 5 [different sign gives negative sign].<br \/>\n<strong>Note :<\/strong>To subtract two numbers with different signs, subtract the smaller number from the larger number and then place the sign before the larger number in front of your answer.\n<\/li>\n<\/ol>\n<p>\u00a0<br \/>\n\u00a0<strong>Example 8.2:<\/strong> Find the value of the following<\/p>\n<ol>\n<li>(+6) + (+9)\n<\/li>\n<li>(+21) \u2013 (+9)\n<\/li>\n<li>(+12) + (-5)\n<\/li>\n<li>(+29) + (+13)\n<\/li>\n<\/ol>\n<p><strong>Solution:<br \/>\n<\/strong><strong>Note: You need to follow the rules.<br \/>\n<\/strong><\/p>\n<ol>\n<li>(+6) + (+9) = 6 + 9 = 15 (same sign gives +)\n<\/li>\n<li>  (+21) \u2013 (+9) = 21 \u2013 9 = 12  [different sign gives negative sign]\n<\/li>\n<li>  (+12) + (-5) = 12 \u2013 5 = 7 [different sign gives negative sign]\n<\/li>\n<li>  (+29) + (+13) = 29 + 13 = 42 (same sign gives +)\n<\/li>\n<\/ol>\n<p>\u00a0<strong>ASSIGNMNET:<br \/>\n<\/strong>EXERCISE 10.2 NO 3(A,C,E, M,O) PAGE 114<br \/>\nEXERCISE 10.3 NO 2( E,F,G,H), NO 5 ( A,B,C,D), PAGE 116 and 117<\/p>\n","protected":false},"excerpt":{"rendered":"<p>WEEK 7 MID TERM PERIODIC TEST. WEEK 8\u00a0\u00a0\u00a0\u00a0ADDITION AND SUBTRACTION (DIRECTED NUMBERS \u00a08.1\u00a0\u00a0\u00a0\u00a0ADDITION AND SUBTRACTION&#8230;<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1,66],"tags":[],"class_list":["post-400","post","type-post","status-publish","format-standard","hentry","category-posts","category-second-term-jss1-mathematics"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/ecolebooks.com\/nigeria\/wp-json\/wp\/v2\/posts\/400","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=400"}],"version-history":[{"count":1,"href":"https:\/\/ecolebooks.com\/nigeria\/wp-json\/wp\/v2\/posts\/400\/revisions"}],"predecessor-version":[{"id":401,"href":"https:\/\/ecolebooks.com\/nigeria\/wp-json\/wp\/v2\/posts\/400\/revisions\/401"}],"wp:attachment":[{"href":"https:\/\/ecolebooks.com\/nigeria\/wp-json\/wp\/v2\/media?parent=400"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/ecolebooks.com\/nigeria\/wp-json\/wp\/v2\/categories?post=400"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/ecolebooks.com\/nigeria\/wp-json\/wp\/v2\/tags?post=400"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}