{"id":1486,"date":"2023-09-29T08:27:40","date_gmt":"2023-09-29T08:27:40","guid":{"rendered":"http:\/\/localhost\/ecole9ja\/?p=1486"},"modified":"2023-09-29T08:34:41","modified_gmt":"2023-09-29T08:34:41","slug":"week-1-and-2-jss-3-first-term-mathematics-lesson-notes","status":"publish","type":"post","link":"https:\/\/ecolebooks.com\/nigeria\/posts\/week-1-and-2-jss-3-first-term-mathematics-lesson-notes\/","title":{"rendered":"Week 1 and 2 – Jss 3 First Term Mathematics Lesson Notes"},"content":{"rendered":"

SCHEME OF WORK FOR MATHEMATICS JSS 3
\n<\/strong><\/p>\n

\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
WEEK<\/td>\nTOPIC<\/td>\n<\/tr>\n
1<\/td>\nRevision of JSS 2 work<\/td>\n<\/tr>\n
2<\/td>\nThe Binary number system<\/td>\n<\/tr>\n
3<\/td>\nBinary number system continued<\/td>\n<\/tr>\n
4<\/td>\nAlgebraic Processes<\/td>\n<\/tr>\n
5<\/td>\nWord problems<\/td>\n<\/tr>\n
6<\/td>\nChange of subject of formulae<\/td>\n<\/tr>\n
7<\/td>\nRevision of first half terms work and periodic test<\/td>\n<\/tr>\n
8<\/td>\nStatistics<\/td>\n<\/tr>\n
9<\/td>\nStatistics Continued<\/td>\n<\/tr>\n
10<\/td>\nSimple equations involving fraction and simultaneous equations<\/td>\n<\/tr>\n
11<\/td>\nRevision of 2nd<\/sup> half term’s lesson and periodic test <\/td>\n<\/tr>\n
12-13<\/td>\nFirst term examination<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n

\u00a0REFERENCE MATERIALS
\nESSENTIAL MATHEMATICS for junior secondary school, book 3 by A. J. S Oluwasanmi
\nEFFECTIVE MATHEMATICS for junior secondary school book 3 by M.K.Akinsola, M.C.Ejike and A.Tella<\/p>\n

\u00a0WEEK 1
\n<\/strong>REVISION OF JS S 2 WORK <\/p>\n

\u00a0WEEK TWO
\n<\/strong>BINARY NUMBERS
\n<\/strong>Numbers in base two are called binary numbers at is made up two digit is 0 and 1
\nConverting base 10 numbers to base two number
\n<\/strong>We do this by dividing the base ten number repeatedly by 2, writing down the remainder until we get to zero and reading the remainder upwards.
\nExample: (a) Write 810<\/sub> to a number in base two
\nb)\u00a0\u00a0\u00a0\u00a0Express 85 in a binary number
\nc)\u00a0\u00a0\u00a0\u00a0Convert 10710<\/sub> to a number in the base two
\nd)\u00a0\u00a0\u00a0\u00a0Convert 152ten<\/sub> to a number in base two
\ne)\u00a0\u00a0\u00a0\u00a0Convert 3\/8ten<\/sub> to a binary fraction (bicimal)
\nf)\u00a0\u00a0\u00a0\u00a0Express 15.12510<\/sub> in binary notation<\/p>\n

\u00a0SOLUTION
\n<\/strong>\"\"\/\"\"\/(a)\u00a0\u00a0\u00a0\u00a02\u00a0\u00a0\u00a0\u00a08
\n\u00a0\u00a0\u00a0\u00a02\u00a0\u00a0\u00a0\u00a04\u00a0\u00a0\u00a0\u00a0R\u00a0\u00a0\u00a0\u00a00
\n\u00a0\u00a0\u00a0\u00a02\u00a0\u00a0\u00a0\u00a02\u00a0\u00a0\u00a0\u00a0R\u00a0\u00a0\u00a0\u00a00
\n\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a00\u00a0\u00a0\u00a0\u00a0R\u00a0\u00a0\u00a0\u00a01
\n\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0810<\/sub> = 10002
\n<\/sub>
\n\u00a0\"\"\/\"\"\/(b)\u00a0\u00a0\u00a0\u00a02\u00a0\u00a0\u00a0\u00a085
\n\u00a0\u00a0\u00a0\u00a02\u00a0\u00a0\u00a0\u00a042\u00a0\u00a0\u00a0\u00a0R\u00a0\u00a0\u00a0\u00a01
\n\u00a0\u00a0\u00a0\u00a02\u00a0\u00a0\u00a0\u00a021\u00a0\u00a0\u00a0\u00a0R\u00a0\u00a0\u00a0\u00a00
\n\u00a0\u00a0\u00a0\u00a02\u00a0\u00a0\u00a0\u00a010\u00a0\u00a0\u00a0\u00a0R\u00a0\u00a0\u00a0\u00a01
\n\u00a0\u00a0\u00a0\u00a02\u00a0\u00a0\u00a0\u00a05\u00a0\u00a0\u00a0\u00a0R\u00a0\u00a0\u00a0\u00a00
\n\u00a0\u00a0\u00a0\u00a02\u00a0\u00a0\u00a0\u00a02\u00a0\u00a0\u00a0\u00a0R\u00a0\u00a0\u00a0\u00a01
\n\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a01\u00a0\u00a0\u00a0\u00a0R\u00a0\u00a0\u00a0\u00a00
\n\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a00\u00a0\u00a0\u00a0\u00a0R\u00a0\u00a0\u00a0\u00a01
\n8510 <\/sub>= 1010101two<\/sub>
\n\t\t\"\"\/<\/p>\n

\u00a0
\n\u00a0\"\"\/(c) 2 107
\n\"\"\/\u00a0\u00a0\u00a0\u00a02\u00a0\u00a0\u00a0\u00a053\u00a0\u00a0\u00a0\u00a0R\u00a0\u00a0\u00a0\u00a01
\n\u00a0\u00a0\u00a0\u00a02\u00a0\u00a0\u00a0\u00a026\u00a0\u00a0\u00a0\u00a0R\u00a0\u00a0\u00a0\u00a01
\n\u00a0\u00a0\u00a0\u00a02\u00a0\u00a0\u00a0\u00a013\u00a0\u00a0\u00a0\u00a0R\u00a0\u00a0\u00a0\u00a00
\n\u00a0\u00a0\u00a0\u00a02\u00a0\u00a0\u00a0\u00a06\u00a0\u00a0\u00a0\u00a0R\u00a0\u00a0\u00a0\u00a01
\n\u00a0\u00a0\u00a0\u00a02\u00a0\u00a0\u00a0\u00a03\u00a0\u00a0\u00a0\u00a0R\u00a0\u00a0\u00a0\u00a00
\n\u00a0\u00a0\u00a0\u00a02\u00a0\u00a0\u00a0\u00a01\u00a0\u00a0\u00a0\u00a0R\u00a0\u00a0\u00a0\u00a01
\n\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a00\u00a0\u00a0\u00a0\u00a0R\u00a0\u00a0\u00a0\u00a01
\n\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a010710<\/sub> = 110100112<\/sub>
\n\t\t\"\"\/\"\"\/(d)\u00a0\u00a0\u00a0\u00a02\u00a0\u00a0\u00a0\u00a0152
\n\u00a0\u00a0\u00a0\u00a02\u00a0\u00a0\u00a0\u00a076\u00a0\u00a0\u00a0\u00a0R\u00a0\u00a0\u00a0\u00a00
\n\u00a0\u00a0\u00a0\u00a02\u00a0\u00a0\u00a0\u00a038\u00a0\u00a0\u00a0\u00a0R\u00a0\u00a0\u00a0\u00a00
\n\u00a0\u00a0\u00a0\u00a02\u00a0\u00a0\u00a0\u00a019\u00a0\u00a0\u00a0\u00a0R\u00a0\u00a0\u00a0\u00a00
\n\u00a0\u00a0\u00a0\u00a02\u00a0\u00a0\u00a0\u00a09\u00a0\u00a0\u00a0\u00a0R\u00a0\u00a0\u00a0\u00a01
\n\u00a0\u00a0\u00a0\u00a02\u00a0\u00a0\u00a0\u00a04\u00a0\u00a0\u00a0\u00a0R\u00a0\u00a0\u00a0\u00a01
\n\u00a0\u00a0\u00a0\u00a02\u00a0\u00a0\u00a0\u00a02\u00a0\u00a0\u00a0\u00a0R\u00a0\u00a0\u00a0\u00a00
\n\"\"\/\u00a0\u00a0\u00a0\u00a02\u00a0\u00a0\u00a0\u00a01\u00a0\u00a0\u00a0\u00a0R\u00a0\u00a0\u00a0\u00a00
\n\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a00\u00a0\u00a0\u00a0\u00a0R\u00a0\u00a0\u00a0\u00a01
\n\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0152ten<\/sub> = 100110002<\/sub>
\n\t\t\"\"\/\"\"\/(e)\u00a0\u00a0\u00a0\u00a02\u00a0\u00a0\u00a0\u00a03
\n\u00a0\u00a0\u00a0\u00a02\u00a0\u00a0\u00a0\u00a01\u00a0\u00a0\u00a0\u00a0R\u00a0\u00a0\u00a0\u00a01
\n\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a00\u00a0\u00a0\u00a0\u00a0R\u00a0\u00a0\u00a0\u00a01
\n\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0310<\/sub> = 112<\/sub>
\n\t\t\u00a0\u00a0\u00a0\u00a0
\n\u00a0\"\"\/ 2 8
\n\"\"\/\u00a0\u00a0\u00a0\u00a02\u00a0\u00a0\u00a0\u00a04\u00a0\u00a0\u00a0\u00a0R\u00a0\u00a0\u00a0\u00a00
\n\u00a0\u00a0\u00a0\u00a02\u00a0\u00a0\u00a0\u00a02\u00a0\u00a0\u00a0\u00a0R\u00a0\u00a0\u00a0\u00a00
\n\u00a0\u00a0\u00a0\u00a02\u00a0\u00a0\u00a0\u00a01\u00a0\u00a0\u00a0\u00a0R\u00a0\u00a0\u00a0\u00a00
\n\u00a0\u00a0\u00a0\u00a02\u00a0\u00a0\u00a0\u00a00\u00a0\u00a0\u00a0\u00a0R\u00a0\u00a0\u00a0\u00a01
\n810<\/sub> = 1000two<\/sub><\/p>\n

\u00a0First express 3 and 8 in binary, 10<\/sub> = 112<\/sub>\/10002<\/sub>= 0.0112
\n<\/sub>(f)\u00a0\u00a0\u00a0\u00a015.125 = 15 = 15= 10
\n<\/sub>\u00a0\u00a0\u00a0\u00a0<\/sub>
\n\t\t\"\"\/\"\"\/\u00a0\u00a0\u00a0\u00a02\u00a0\u00a0\u00a0\u00a0121<\/p>\n

\u00a0\u00a0\u00a0\u00a0\u00a02\u00a0\u00a0\u00a0\u00a060\u00a0\u00a0\u00a0\u00a0R\u00a0\u00a0\u00a0\u00a01
\n\u00a0\u00a0\u00a0\u00a02\u00a0\u00a0\u00a0\u00a030\u00a0\u00a0\u00a0\u00a0R\u00a0\u00a0\u00a0\u00a00
\n\u00a0\u00a0\u00a0\u00a02\u00a0\u00a0\u00a0\u00a015\u00a0\u00a0\u00a0\u00a0R\u00a0\u00a0\u00a0\u00a00
\n\u00a0\u00a0\u00a0\u00a02\u00a0\u00a0\u00a0\u00a07\u00a0\u00a0\u00a0\u00a0R\u00a0\u00a0\u00a0\u00a01
\n\u00a0\u00a0\u00a0\u00a02\u00a0\u00a0\u00a0\u00a03\u00a0\u00a0\u00a0\u00a0R\u00a0\u00a0\u00a0\u00a01
\n\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a01\u00a0\u00a0\u00a0\u00a0R\u00a0\u00a0\u00a0\u00a01
\n\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a00\u00a0\u00a0\u00a0\u00a0R\u00a0\u00a0\u00a0\u00a01
\n\"\"\/12110<\/sub> = 11110012<\/sub>
\n\t\t\"\"\/\u00a0\u00a0\u00a0\u00a02\u00a0\u00a0\u00a0\u00a08\u00a0\u00a0\u00a0\u00a0R
\n\u00a0\u00a0\u00a0\u00a02\u00a0\u00a0\u00a0\u00a04\u00a0\u00a0\u00a0\u00a00
\n\u00a0\u00a0\u00a0\u00a02\u00a0\u00a0\u00a0\u00a02\u00a0\u00a0\u00a0\u00a00
\n\u00a0\u00a0\u00a0\u00a02\u00a0\u00a0\u00a0\u00a01\u00a0\u00a0\u00a0\u00a00
\n\u00a0\u00a0\u00a0\u00a02\u00a0\u00a0\u00a0\u00a00\u00a0\u00a0\u00a0\u00a01
\n810<\/sub> = 10002<\/sub><\/p>\n

\u00a0(<\/sub>= 2<\/sub> = 1111.0012
\n<\/sub>
\n\u00a0Exercise: <\/strong>Convert the following binary numbers.
\n(a) 72\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0(b) \u00a0\u00a0\u00a0\u00a0 (c) 0.875\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0(d) 32
\nConverting Base Two Numbers to Base 10 Numbers
\n<\/strong>We express the given binary numbers as a sum of multiples of powers of two 20<\/sup>, 21<\/sup>, 22<\/sup>, 23<\/sup> etc.
\nExample: Convert (i) 101two<\/sub> (ii) 10.10012<\/sub> (iii) 1112<\/sub>
\n\t\tSOLUTION
\n<\/strong><\/p>\n

    \n
  1. \n
    1012<\/sub> = 1×22 <\/sup>+ 0x21 <\/sup>+ 1×20<\/sup>\n\t\t\t\t<\/div>\n

    = 4 + 0 + 1
    \n= 510<\/sub>\n\t\t\t\t<\/li>\n

  2. \n
    1112<\/sub> = 1×22<\/sup> + 1×21<\/sup> + 1×20<\/sup>\n\t\t\t\t<\/div>\n

    = 4 + 2 + 1
    \n= 910<\/sub>\n\t\t\t\t<\/li>\n

  3. \n
    10.10012<\/sub> = 1×21<\/sup> + 0x20 <\/sup>+ 1 x 2 -1<\/sup> + 0 x 2-2<\/sup> + 0 x 2-3<\/sup> + 1 x 2-4<\/sup>\n\t\t\t\t<\/div>\n

    = 2 + 0 + + 0 + 0 +\n<\/li>\n<\/ol>\n

    \u00a0\u00a0\u00a0\u00a0=
    \n\u00a0\u00a0\u00a0\u00a0= 210<\/sub><\/p>\n

      \n
    1. \n
      101012<\/sub> = 1 x 24<\/sup> + 0 x 23<\/sup> + 1 x 22<\/sup> + 0 x 21<\/sup> + 1 x 20<\/sup>\n\t\t\t\t<\/div>\n

      = 16 + 0 + 4 + 0 + 1
      \n= 2710<\/sub>\n\t\t\t\t<\/li>\n<\/ol>\n

      Exercise: If 1102<\/sub> = P10<\/sub>. Find the value of P<\/p>\n

      \u00a0Assignment
      \n<\/strong><\/p>\n

        \n
      1. \n
        Write 1-10 in binary numbers\n<\/div>\n<\/li>\n
      2. \n
        Convert to base 10 (a) 111012<\/sub> (b) 11.01012 <\/sub> (c) 10110012<\/sub>\n\t\t\t\t<\/div>\n<\/li>\n
      3. \n
        Convert to binary number (a) 43ten<\/sub> (b) 1280ten<\/sub> (c) 17610<\/sub>\n\t\t\t\t<\/div>\n<\/li>\n<\/ol>\n

        ADDITION, SUBTRACTION, MULTIPLICATION AND DIVISION IN BINARY NUMBERS
        \n<\/strong>Examples
        \n\t\t\t<\/strong><\/p>\n

          \n
        1. \n
          Add 1011112<\/sub> and 100112<\/sub>\n\t\t\t\t<\/div>\n<\/li>\n
        2. \n
          Subtract 100112<\/sub> from 1011112<\/sub>\n\t\t\t\t<\/div>\n<\/li>\n
        3. \n
          11012<\/sub> x 1112<\/sub>\n\t\t\t\t<\/div>\n<\/li>\n
        4. \n
          100100012<\/sub> 1012<\/sub>\n\t\t\t\t<\/div>\n<\/li>\n<\/ol>\n

          \u00a0Solution
          \n<\/strong> 1. 1011112<\/sub>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a02.\u00a0\u00a0\u00a0\u00a01011112\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a03.\u00a0\u00a0\u00a0\u00a0<\/sub>11012<\/sub><\/p>\n

            \n
          • \n
            \"\"\/\"\"\/100112\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/sub>+100112\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/sub>x1112<\/sub>\n\t\t\t\t<\/div>\n<\/li>\n<\/ul>\n

            \"\"\/\"\"\/\"\"\/111002\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <\/sub> 10000102\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/sub>1101
            \n\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 1101
            \n\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 1101
            \n\"\"\/\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 1011011
            \n4.Convert to base 10 to have 14510<\/sub> 510 <\/sub>= 2910<\/sub> = 111012<\/sub> or
            \n111
            \n\"\"\/ 1012 \u00a0\u00a0\u00a0\u00a0 <\/sub>10010012<\/sub>
            \n\t\t\u00a0\u00a0\u00a0\u00a0 101
            \n\"\"\/ \u00a0\u00a0\u00a0\u00a0 1000
            \n 101
            \n\"\"\/ 101
            \n\u00a0\u00a0\u00a0\u00a0 101
            \n\"\"\/\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a00
            \nExercise: (1) add 1001102<\/sub>, 1010102<\/sub> and 1110112<\/sub>
            \n\t\t(2) Multiply 100112<\/sub> x 112<\/sub>
            \n\t\t(3) 10110102<\/sub> \u2013 1001112<\/sub>
            \n\t\t(4) 10101112<\/sub> 1112<\/sub><\/p>\n","protected":false},"excerpt":{"rendered":"

            SCHEME OF WORK FOR MATHEMATICS JSS 3 WEEK TOPIC 1 Revision of JSS 2 work…<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1,138],"tags":[],"class_list":["post-1486","post","type-post","status-publish","format-standard","hentry","category-posts","category-first-term-jss-3-mathematics"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/ecolebooks.com\/nigeria\/wp-json\/wp\/v2\/posts\/1486","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=1486"}],"version-history":[{"count":1,"href":"https:\/\/ecolebooks.com\/nigeria\/wp-json\/wp\/v2\/posts\/1486\/revisions"}],"predecessor-version":[{"id":1487,"href":"https:\/\/ecolebooks.com\/nigeria\/wp-json\/wp\/v2\/posts\/1486\/revisions\/1487"}],"wp:attachment":[{"href":"https:\/\/ecolebooks.com\/nigeria\/wp-json\/wp\/v2\/media?parent=1486"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/ecolebooks.com\/nigeria\/wp-json\/wp\/v2\/categories?post=1486"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/ecolebooks.com\/nigeria\/wp-json\/wp\/v2\/tags?post=1486"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}