{"id":2096,"date":"2023-10-02T09:07:14","date_gmt":"2023-10-02T09:07:14","guid":{"rendered":"http:\/\/localhost\/ecole9ja\/?p=2096"},"modified":"2023-10-02T09:14:57","modified_gmt":"2023-10-02T09:14:57","slug":"week-1-ss1-first-term-general-mathematics-notes","status":"publish","type":"post","link":"https:\/\/ecolebooks.com\/nigeria\/posts\/week-1-ss1-first-term-general-mathematics-notes\/","title":{"rendered":"Week 1 – SS1 First Term General Mathematics Notes"},"content":{"rendered":"

SS1 GENERAL MATHEMATICS SCHEME OF WORK FOR FIRST TERM
\nWEEK[S] TOPIC<\/p>\n

    \n
  1. Revision of Jss3 work and basic operations of integers; addition, subtraction, multiplication and division.\n<\/li>\n
  2. Number Bases<\/strong>; [a] Conversion from one base number to base ten. [b] Conversion of decimal fraction [bicimals] in one base to base ten. [c] Conversion of numbers from one base to another.\n<\/li>\n
  3. [a] Addition, subtraction, multiplication and division of number bases . [b] Application of number bases to computer programming.\n<\/li>\n
  4. Concept of Modular Arithmetic; <\/strong>Addition, subtraction, multiplication and division of operations of modular arithmetic.<\/strong>\n\t\t\t<\/li>\n
  5. Standard form and Approximation<\/strong>\n\t\t\t<\/li>\n
  6. Indices; [a]<\/strong>Application of laws of indices. [b] Negative, zero and fractional indices.\n<\/li>\n
  7. Reviewof first half term and periodic test
    \n<\/strong><\/li>\n
  8. Logarithms of numbers greater than 1 [whole number]\u2192 use of logarithm table for multiplication and division of numbers.
    \n<\/strong><\/li>\n
  9. Logarithms CTD; [a] calculations involving powers and roots. [b] Relationship between indices and logarithms.
    \n<\/strong><\/li>\n
  10. [a] simple equation and variation. [b] Change of subject of formulae. [c] Type of variation; direct, inverse, joint and partial variation. [d] Applicationof variation to practical problems.
    \n<\/strong><\/li>\n
  11. Revision.
    \n<\/strong><\/li>\n
  12. Examination.
    \n<\/strong><\/li>\n
  13. \n
    Examination
    \n<\/strong><\/div>\n

    REFERENCE BOOKS
    \n<\/em><\/strong><\/li>\n<\/ol>\n

      \n
    • MAN MATHEMATICS FOR SENIOR SECONDARY SCHOOLS 1
      \n\t\t\t\t\t<\/em><\/strong><\/li>\n
    • ESSENTIAL MATHEMATICS FOR SENIOR SECONDARY SCHOOLS 1 BY A.J.S OLUWASANMI
      \n\t\t\t\t\t<\/em><\/strong><\/li>\n
    • \n
      NEW GENERAL MATHEMATICS FOR SENIOR SECONDARY SCHOOL 1 BY M.F.MACRAE ETAL\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0
      \n\t\t\t\t\t\t\t<\/em><\/strong><\/div>\n

      Week 1.
      \n\t\t\t\t\t\t\t<\/em><\/strong>REVISION AND BASIC OPERATIONS OF INTEGER
      \nRULES OF DIVISIBILITY TEST
      \nA number is divisible by:<\/p>\n

        \n
      • 2: if the last digit of the number is even or zero.\n<\/li>\n
      • 3: if the sum of the digits is divisible by 3.\n<\/li>\n
      • 4: if the number formed by the last 2 digits is divisible by 4.\n<\/li>\n
      • 5: if the numbers end in 0 or 5.\n<\/li>\n
      • 6: if the number is divisible by both 2and 3.\n<\/li>\n
      • 7: no rule to it yet.\n<\/li>\n
      • 8: if the number formed by the last three digits of the numbers is divisible by 8.\n<\/li>\n
      • 9: if the sum of the digits is divisible by 9 and 3.\n<\/li>\n
      • 10: if the last digit is zero.\n<\/li>\n
      • \n
        11: if the sum of the digits in the odd positions is equal to the sum of digits in the even positions or difference is a multiple of 11.\n<\/div>\n

        DIVISIBILITY test is a rule for determining whether one whole number is divisible by another.
        \n<\/em><\/strong>EXAMPLE
        \n<\/em><\/strong>Determine whether7168 is divisible by2, 3, 4,5,6,8,9,10 and 11
        \n<\/em><\/strong>SOLUTION
        \n<\/em><\/strong>7168 Is not divisible by 3, 5, 6, 9, 10 and 11. But 2 because the last digit is even, 4 since the last twodigits is divisible by 4. 8 since the last three digit is divisible by 8.
        \n<\/em><\/strong>EXAMPLE
        \n<\/em><\/strong>Which number is divisible by 35120?
        \n<\/em><\/strong>SOLUTION
        \n<\/em><\/strong>35120 is divisible by 2,4,5,8and 10.
        \n<\/em><\/strong>2 can divide it since it end with zero, divisible by 4, since the last two digit 20 is divisible by 4, 5 since it end with zero, 8 since the last digit 120 is divisible by 8. 10 since the last digit is zero.
        \n<\/em><\/strong>EXAMPLE
        \n<\/em><\/strong>Determine whether 24739 is divisible by 11?
        \n<\/em><\/strong>SOLUTION
        \n<\/em><\/strong>24739\u2192sum of digit in odd position 2+7+9=18, sum of digit in even position 4+3=7. Thedifference18-7=11. Then 11 is divisible by 11 and a multiple of 11.
        \n<\/em><\/strong>CLASS WORK
        \n<\/em><\/strong><\/li>\n<\/ul>\n

        Identify the following numbers that can be divisible by 2,4 ,5 , 6,8, 9.
        \n<\/em><\/strong>a.3591 b. 2408 c. 7700 d. 18054 e.2032 f. 1827 g.23624 h. 468
        \n<\/em><\/strong> INTEGERS: integers are whole numberse.g. 1,3, 6,7,9. etc. not 1.5,,5.
        \n<\/em><\/strong>SIMPLIFY: Simplify is to make easier to do or understand.
        \n<\/em><\/strong>EVALUATE:To Evaluate is to form a value or quality after thinking , resolving or working a problem.
        \n<\/em><\/strong>EXAMPLE
        \n<\/em><\/strong>Find the sum of the following number :
        \n<\/em><\/strong><\/li>\n<\/ul>\n

          \n
        1. \n
          961,86 and 422. B. 4312,504,614 and 24
          \n<\/em><\/strong><\/div>\n

          Solution
          \n<\/em><\/strong><\/li>\n<\/ol>\n

            \n
          1. 961 b. 4 3 1 2
            \n<\/em><\/strong><\/li>\n<\/ol>\n

            (a) 8 6 ++<\/sub> 5 0 4
            \n<\/em><\/strong>\"\"\/\"\"\/4 2 2 6 1 4
            \n\t\t\t\t\t<\/em><\/strong>\"\"\/\"\"\/14 6 9 5 4 3 0
            \n<\/em><\/strong>Subtract 287 from 306.
            \n<\/em><\/strong>Solution
            \n<\/em><\/strong> 3 0 6
            \n<\/em><\/strong>– 2 8 7
            \n<\/em><\/strong> 0 1 9
            \n<\/em><\/strong>Find the product of 452 and 219
            \n<\/em><\/strong>SOLUTION
            \n<\/strong>452
            \n\t\t\t\t\t<\/em><\/strong>\"\"\/ X 219\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 4 0 6 8
            \n<\/em><\/strong>+ 452
            \n<\/em><\/strong>\"\"\/ 904
            \n<\/em><\/strong>\"\"\/ 98988
            \n<\/em><\/strong>Find the value of the following:
            \n<\/em><\/strong><\/p>\n

              \n
            1. \n
              8(+7). b. 5 (9). (C )
              \n<\/em><\/strong><\/div>\n

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

                \n
              1. 8 (+7 )= 87 =+1
                \n<\/em><\/strong><\/li>\n
              2. -5(-9)=-5+9 =+4
                \n<\/em><\/strong><\/li>\n
              3. = =9.6
                \n<\/em><\/strong><\/li>\n<\/ol>\n

                ASSESSMENT: The students are to work the following questions:
                \n<\/em><\/strong><\/p>\n

                  \n
                1. \n
                  Find the product of the following numbers:
                  \n<\/em><\/strong><\/div>\n
                    \n
                  1. 2184×11 b. 5412×99 c. 217×405
                    \n<\/em><\/strong><\/li>\n<\/ol>\n<\/li>\n
                  2. \n
                    Subtract the following numbers:
                    \n<\/em><\/strong><\/div>\n
                      \n
                    1. 23 from 36 b. 94 from 104
                      \n<\/em><\/strong><\/li>\n<\/ol>\n<\/li>\n
                    2. \n
                      Find the values of :
                      \n<\/em><\/strong><\/div>\n
                        \n
                      1. 336\u00f74 b. 867\u00f717 c. 1848\u00f712 d. (-18)\u00f7(-3) e. -25\u00f74
                        \n<\/em><\/strong><\/li>\n<\/ol>\n<\/li>\n
                      2. \n
                        find the values of the following:
                        \n<\/em><\/strong><\/div>\n

                        \u00a0<\/li>\n

                      3. \n
                        b.
                        \n<\/em><\/strong><\/div>\n

                        \u00a0
                        \n\t\t\t\t\t\t\t\t<\/em><\/strong>\u00a0<\/li>\n<\/ol>\n<\/li>\n<\/ol>\n","protected":false},"excerpt":{"rendered":"

                        SS1 GENERAL MATHEMATICS SCHEME OF WORK FOR FIRST TERM WEEK[S] TOPIC Revision of Jss3 work…<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1,183],"tags":[],"class_list":["post-2096","post","type-post","status-publish","format-standard","hentry","category-posts","category-first-term-ss1-general-mathematics"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/ecolebooks.com\/nigeria\/wp-json\/wp\/v2\/posts\/2096","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=2096"}],"version-history":[{"count":1,"href":"https:\/\/ecolebooks.com\/nigeria\/wp-json\/wp\/v2\/posts\/2096\/revisions"}],"predecessor-version":[{"id":2097,"href":"https:\/\/ecolebooks.com\/nigeria\/wp-json\/wp\/v2\/posts\/2096\/revisions\/2097"}],"wp:attachment":[{"href":"https:\/\/ecolebooks.com\/nigeria\/wp-json\/wp\/v2\/media?parent=2096"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/ecolebooks.com\/nigeria\/wp-json\/wp\/v2\/categories?post=2096"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/ecolebooks.com\/nigeria\/wp-json\/wp\/v2\/tags?post=2096"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}