{"id":389,"date":"2023-09-25T14:08:55","date_gmt":"2023-09-25T14:08:55","guid":{"rendered":"http:\/\/localhost\/ecole9ja\/?p=389"},"modified":"2023-09-25T14:13:59","modified_gmt":"2023-09-25T14:13:59","slug":"week-1-jss-1-second-term-mathematics-lesson-notes","status":"publish","type":"post","link":"https:\/\/ecolebooks.com\/nigeria\/posts\/week-1-jss-1-second-term-mathematics-lesson-notes\/","title":{"rendered":"Week 1 and 2 – Jss 1 Second Term Mathematics Lesson Notes"},"content":{"rendered":"

SUBJECT:
\nMATHEMATICS
\n<\/strong>CLASS:
\n JUNIOR SECONDARY SCHOOL 1
\n<\/strong>SCHEME OF WORK
\nWEEK 1\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0REVISION OF LAST WORK
\nWEEK 2\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0APPROXIMATION
\nWEEK 3\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0APPROXIMATION
\nWEEK 4\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0NUMBER BASE
\nWEEK 5\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0NUMBER BASE
\nWEEK 6\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0BASIC OPERATION
\nWEEK 7\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0REVIEW OF FIRST TERM
\nWEEK 8\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0BASIC OPERATION
\nWEEK 9\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0ALGEBRAIC PROCESS
\nWEEK 10\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0ALGEBRAIC PROCESS
\nWEEK 11\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0REVISION
\nWEEK 12\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0EXAMINATION
\nWEEK2:\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0APPROXIMATION
\n<\/strong>2.0\u00a0\u00a0\u00a0\u00a0Introduction:
\n<\/strong>Approximation is the process of using rounded numbers, to estimate the outcome of calculations. Approximationcan help us decide whether an answer to a calculation is right or not. We can approximate numbers by rounding them up to decimal places, significant figures, nearest whole number, tens , hundreds etc.<\/p>\n

\u00a02.1\u00a0\u00a0\u00a0\u00a0Decimal Place\/Point:
\n<\/strong>A number such as 197.7658 is an example of a decimal number. The whole number part is 197 and the decimal part is 7658. The point between them is called a decimal point.
\n<\/strong>\"\"\/\"\"\/\"\"\/\"\"\/\"\"\/\u00a0\u00a0\u00a0\u00a0 197.7658
\n\t\t<\/strong>Whole number. Decimal
\n Decimal point
\nTo find the number of decimal places (d.p) simply count the number of figures after the decimal point.<\/strong> Thus, the number above has 4 d.p<\/strong>.<\/p>\n

\u00a0\"\"\/\"\"\/\"\"\/\"\"\/197.7658
\n<\/strong>4th decimal place
\n 3rd decimal place
\n 2nd decimal place
\n 1st decimal place<\/p>\n

\u00a0Guide to round off numbers:
\n<\/strong>To round off numbers to a specific number of decimal places
\n1. Look for the last digit (i.e. the required decimal place you are rounding to)
\n2. Then look at the next digit to the right, i.e. the decider
\n3. If the decider is 5 or more round up (i.e. add 1 to the last digit) if it is less than 5, then add nothing.<\/p>\n

\u00a0Examples2.1<\/strong>: Give the number 78.05624 correct to (a) 1 d.p (b) 2 dp (c) 3 dp
\nSolution:
\n<\/strong><\/p>\n

    \n
  1. 78.1 (start counting from the number after the point. Note that zero is significant).\n<\/li>\n
  2. 78.06 (after counting the number check the next number, if the number is less than 5\/<; it changes to zero but if it is 5 or > it changes to 1 and add to the next counted before it.)\n<\/li>\n
  3. 78.056 (since the number is less it turns to zero and it has no significance)\n<\/li>\n<\/ol>\n

    \u00a0Example 2.2:<\/strong> Give 57.9945 correct to (a) 2dp (b) 4dp
    \nSolution:
    \n<\/strong>(a) 57.99 (2 d.p.)
    \n(b) 57.9945 (4 d.p.)
    \n2.2\u00a0\u00a0\u00a0\u00a0Significant Figure:
    \n<\/strong>The word significant<\/strong> means ‘important or non zero digits<\/strong>‘ and it is another way of approximating numbers. We write significant figure as S F.
    \nNumbers greater than zero
    \n<\/em>For example the number 865 034 has six figures or digits. The first figure from the left i.e. 8 is worth 800 000 (place value) and it is the most significant figure. It is therefore the first significant figure and 4 the leas or sixth significant figure.er
    \n\"\"\/\"\"\/\"\"\/\"\"\/\"\"\/\"\"\/987654
    \n1st<\/sup>s.f.2nd<\/sup>s.f.3rd<\/sup>s.f.4th<\/sup>s.f.5th<\/sup>s.f.6th<\/sup>s.f.
    \nNumbers less than zero
    \n<\/em>For example 0.000007685 is given to 8 decimal places. The zero before the decimal number means that there are no units, and the 5 zeros after the decimal point mean that they are insignificant figures. Therefore the most significant number or first significant is 7 follow by 6 and 8.<\/p>\n

    \u00a0\"\"\/\"\"\/\"\"\/\"\"\/0. 0 0 0 0 0 7 6 8
    \n<\/strong>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 1sf 2sf 3sf
    \n\t\t\t<\/strong>Note: the first significant figure is always the first non-zero figure as you read a number from the left
    \n<\/strong>
    \n\u00a0Guide to round off numbers<\/strong>
    \n\tTo correct a number to a specific number of significant figure<\/p>\n

      \n
    1. Look for the required significant figure\n<\/li>\n
    2. Look at the next significant figure to the right (i.e. the decider)\n<\/li>\n
    3. If the decider is 5 or more round up but if it is less than 5 add nothing\n<\/li>\n<\/ol>\n

      \u00a0
      \n\u00a0Example 2.3<\/strong>:Give 4540 correct to (a) 1 s.f (b) 2 sf (c) 3 s.f
      \nSolution:
      \n<\/strong>Note the figures above, it helps just follow the figure correctly.<\/p>\n

        \n
      1. 4540 = 5000 (the reason for getting 8000.after counting 7 the next number is 5 which will turn to 1 and add to the 7 counted and the other numbers turn to zeros).\n<\/li>\n
      2. 4540 = 4500 (after counting 2 s.f the next number is 6 which turn to 1 and add to 5 to be 6 and the rest turn to zeros.\n<\/li>\n
      3. 4540 = 4540 (after counting 3 s.f the next is 4 which turn to zero).\n<\/li>\n<\/ol>\n

        \u00a0Example 2.4:<\/strong> Convert 0.00005791 to (a) 2 s.f (b) 3 s.f
        \nSolution:
        \n<\/strong>(a) 0.000058
        \n(b) 0.0000579<\/p>\n

        \u00a0
        \n\u00a02.3\u00a0\u00a0\u00a0\u00a0Rounding Decimals to the Nearest, Tenth, Hundredth, and Thousandths and Whole.<\/strong><\/p>\n

        \u00a0Example2.5<\/strong>:Give474.4547correcttothenearest
        \na.\u00a0\u00a0\u00a0\u00a0Tenth
        \nb.\u00a0\u00a0\u00a0\u00a0Hundredth
        \nc.\u00a0\u00a0\u00a0\u00a0Thousandth
        \nSolution:<\/strong>
        \n\tNotethatthecountingstartsafterthepoint.<\/p>\n

          \n
        1. 474.4547=474.5(sincethenextnumberaftercountingis5\/>itturnsto1andaddtothecounted4)\n<\/li>\n
        2. 474.4547=474.45\n<\/li>\n
        3. 474.4547=474.455\n<\/li>\n<\/ol>\n

          \u00a0Example 2.6:<\/strong>Roundoff
          \n(a)13.73
          \n(b)34.245tothe nearest wholenumber.<\/p>\n

          \u00a0Solution:<\/strong><\/p>\n

            \n
          1. 13.73=14(sincethewholeis13thenextnumberisdecmalwhichis7,itwillbeturnto1andaddto13tomakeit14).\n<\/li>\n
          2. 34.245=34(sincethenextislessthan5thenitisinsignificant).\n<\/li>\n<\/ol>\n

            \u00a0ASSIGNMENT:\u00a0\u00a0\u00a0\u00a0 ESSENTIAL MATHEMATICS BOOK 1
            \n<\/strong>EXERCISE 8.5 page 89 NO 2(a,b,c,d), 5+ (a,b,c)
            \n<\/strong><\/p>\n","protected":false},"excerpt":{"rendered":"

            SUBJECT: MATHEMATICS CLASS: JUNIOR SECONDARY SCHOOL 1 SCHEME OF WORK WEEK 1\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0REVISION OF LAST WORK…<\/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-389","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\/389","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=389"}],"version-history":[{"count":2,"href":"https:\/\/ecolebooks.com\/nigeria\/wp-json\/wp\/v2\/posts\/389\/revisions"}],"predecessor-version":[{"id":391,"href":"https:\/\/ecolebooks.com\/nigeria\/wp-json\/wp\/v2\/posts\/389\/revisions\/391"}],"wp:attachment":[{"href":"https:\/\/ecolebooks.com\/nigeria\/wp-json\/wp\/v2\/media?parent=389"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/ecolebooks.com\/nigeria\/wp-json\/wp\/v2\/categories?post=389"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/ecolebooks.com\/nigeria\/wp-json\/wp\/v2\/tags?post=389"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}