{"id":1488,"date":"2023-09-29T08:30:11","date_gmt":"2023-09-29T08:30:11","guid":{"rendered":"http:\/\/localhost\/ecole9ja\/?p=1488"},"modified":"2023-09-29T08:34:41","modified_gmt":"2023-09-29T08:34:41","slug":"week-3-and-4-jss-3-first-term-mathematics-lesson-notes","status":"publish","type":"post","link":"https:\/\/ecolebooks.com\/nigeria\/posts\/week-3-and-4-jss-3-first-term-mathematics-lesson-notes\/","title":{"rendered":"Week 3 and 4 – Jss 3 First Term Mathematics Lesson Notes"},"content":{"rendered":"

WEEK THREE
\n<\/strong>APLLICATION OF BINARY NUMBERS
\n<\/strong>Bunch Cards: it is used in business farms, examining from boards and other organization as a solution for sorting information.
\nExample: suppose that a failure in a subject is represented by the digit zero. Then for any 5 subjects English, Mathematics, French, Agric and C.R.K. The number 10110 represent a pass in English, a failure in mathematics, a pass in French, a pass in agric and a failure in C.R.K.
\nBunch Tape
\n<\/strong><\/p>\n

\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
Letters<\/strong><\/td>\nDecimal No<\/strong><\/td>\nBinary Code<\/strong><\/td>\n<\/tr>\n
A<\/td>\n1<\/td>\n1<\/td>\n<\/tr>\n
B<\/td>\n2<\/td>\n10<\/td>\n<\/tr>\n
C<\/td>\n3<\/td>\n11<\/td>\n<\/tr>\n
D<\/td>\n4<\/td>\n100<\/td>\n<\/tr>\n
E<\/td>\n5<\/td>\n101<\/td>\n<\/tr>\n
F<\/td>\n6<\/td>\n110<\/td>\n<\/tr>\n
G<\/td>\n7<\/td>\n111<\/td>\n<\/tr>\n
H<\/td>\n8<\/td>\n1000<\/td>\n<\/tr>\n
I<\/td>\n9<\/td>\n1001<\/td>\n<\/tr>\n
J <\/td>\n10 <\/td>\n1010<\/td>\n<\/tr>\n
K<\/td>\n 11 <\/td>\n1011<\/td>\n<\/tr>\n
L <\/td>\n12 <\/td>\n1100<\/td>\n<\/tr>\n
M <\/td>\n13<\/td>\n 1101<\/td>\n<\/tr>\n
N <\/td>\n14 <\/td>\n1110<\/td>\n<\/tr>\n
O <\/td>\n15 <\/td>\n1111<\/td>\n<\/tr>\n
P <\/td>\n16 <\/td>\n1000<\/td>\n<\/tr>\n
Q<\/td>\n 17 <\/td>\n10001<\/td>\n<\/tr>\n
R <\/td>\n18 <\/td>\n10010<\/td>\n<\/tr>\n
S <\/td>\n19 <\/td>\n10011<\/td>\n<\/tr>\n
T <\/td>\n20 <\/td>\n10100<\/td>\n<\/tr>\n
U <\/td>\n21 <\/td>\n10101<\/td>\n<\/tr>\n
V<\/td>\n 22 <\/td>\n10110<\/td>\n<\/tr>\n
W <\/td>\n23 <\/td>\n10111<\/td>\n<\/tr>\n
X <\/td>\n24 <\/td>\n11000<\/td>\n<\/tr>\n
Y <\/td>\n25 <\/td>\n11001<\/td>\n<\/tr>\n
Z<\/td>\n 26 <\/td>\n11010<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n

French tapes are used to enter information and instruction into some computers.
\nExercise:<\/p>\n

    \n
  1. \n
    Using a letter per line code and with the words represented by the following\n<\/div>\n

    (a)\u00a0\u00a0\u00a0\u00a01\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0(b) \u00a0\u00a0\u00a0\u00a010000\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0(c)\u00a0\u00a0\u00a0\u00a0100
    \n\u00a0\u00a0\u00a0\u00a0100\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0101\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0101
    \n\u00a0\u00a0\u00a0\u00a0100\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a010100\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a01100
    \n\u00a0\u00a0\u00a0\u00a010010\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0101\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a01001
    \n\u00a0\u00a0\u00a0\u00a0101\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a010010\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a010110
    \n\u00a0\u00a0\u00a0\u00a010011\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\u00a0101
    \n\u00a0\u00a0\u00a0\u00a010011\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\u00a010010<\/p>\n

    \u00a0<\/li>\n

  2. \n
    Write the following in a letter per line code.\n<\/div>\n

    (a)\u00a0\u00a0\u00a0\u00a0S\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0(b)\u00a0\u00a0\u00a0\u00a0D\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0(c) \u00a0\u00a0\u00a0\u00a0A\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0(d)\u00a0\u00a0\u00a0\u00a0S\u00a0\u00a0\u00a0\u00a0(e)\u00a0\u00a0\u00a0\u00a0E
    \n\u00a0\u00a0\u00a0\u00a0U\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0I\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0N\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0C\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0L
    \n\u00a0\u00a0\u00a0\u00a0N\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0V\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0G\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0H\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0I
    \n\u00a0\u00a0\u00a0\u00a0D\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0I\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0E\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0O\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0A
    \n\u00a0\u00a0\u00a0\u00a0A\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0N\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0L\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0O\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0S
    \n\u00a0\u00a0\u00a0\u00a0Y\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0E\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0L\n<\/li>\n

  3. \n
    Code your surname in binary\n<\/div>\n<\/li>\n<\/ol>\n

    \u00a0
    \n\u00a0WEEK 4
    \n<\/strong>ALGEBRAIC PROCESSES
    \n<\/strong>Objective: Use letter to generalize statements <\/p>\n

      \n
    • \n
      Interpret mathematical symbols\n<\/div>\n<\/li>\n
    • \n
      Solve simple and problems\n<\/div>\n<\/li>\n<\/ul>\n

      Generating statement
      \n<\/strong>The following symbols are generally used in mathematics<\/p>\n

        \n
      1. \n
        “=” means is equal to”\n<\/div>\n

        Example: 13 \u2013 6 = 7 means thirteen minus six is equal to seven\n<\/li>\n

      2. \n
        “>” means is greater than”\n<\/div>\n

        Example: 18 > 10 means eighteen is greater than ten”\n<\/li>\n

      3. \n
        “<” means is less than”\n<\/div>\n

        Example: -10 < 2 mean negative ten is less than two\n<\/li>\n

      4. \n
        ” ” means is approximately equal to”\n<\/div>\n

        Example: is approximately equal to 3.142 that is 3.14\n<\/li>\n

      5. \n
        “” means not equal to”\n<\/div>\n

        Example: 2 3 means two is not equal to three.\n<\/li>\n<\/ol>\n

        Exercise<\/p>\n

          \n
        1. \n
          Write the following using symbols\n<\/div>\n<\/li>\n
        2. \n
          M is equal to 8 (ii) y lies between 8 and 12\n<\/div>\n<\/li>\n<\/ol>\n

          (iii)\u00a0\u00a0\u00a0\u00a0Twice y equals fourteen, therefore y equals seven.<\/p>\n

          \u00a0OPERATION IN ALGEBRA
          \n<\/strong>EXAMPLE
          \nWrite down the meaning of the following and find the values if \u00a0\u00a0\u00a0\u00a0x = 8, y = 3, z = 9
          \n(a) 2x\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0(b) 2 + x \u00a0\u00a0\u00a0\u00a0(c) \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0(d) x \u2013 5 \u00a0\u00a0\u00a0\u00a0(e) x2<\/sup>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0(f) x + yz
          \nSolution
          \n<\/strong>(a) \u00a0\u00a0\u00a0\u00a0Multiply x by 2 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0(b) \u00a0\u00a0\u00a0\u00a0Add two to\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0(c) \u00a0\u00a0\u00a0\u00a0Divide x by 2
          \nI.e. 2 x 8 = 16\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0i.e. 8 + 2 = 10\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 = \u00a0\u00a0\u00a0\u00a0= 4
          \n(d) \u00a0\u00a0\u00a0\u00a0Subtract five from (e) \u00a0\u00a0\u00a0\u00a0Square (f) \u00a0\u00a0\u00a0\u00a0multiply y by z
          \n\u2013 5 = 8 – 5 = 3\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 2 <\/sup>= 8 x 8 = 64 + yz = 8 + 3(9) = 8 + 27 = 35
          \nExercise: If a = 5, b = -3 and c = 2. Find the value of (a) 2a + b \u2013 c (b) 5a \u2013 8 (c) 8ac \u2013 2b (d)
          \nLIKE AND UNLIKE TERMS (WORD PROBLEMS)
          \n<\/strong>Examples 1: A fence is made up of 3 different bundles of length 3m each, 5 different hurdles of lengths 5m each and 2 different hurdles of length 2m each. What is the total length?
          \nSOLUTION
          \n<\/strong>Let the 3 hurdles be, y and z
          \nThen total length force = 3x + 5y \u2013 2z
          \n2)\u00a0\u00a0\u00a0\u00a0A tourist walked km an hour for 3 hours on the first day and km an hour for y hours on the second day. How far did he walk in the two days?
          \nAns. (3x + y) km<\/p>\n

          \u00a0Exercise
          \nA family eats a loaves of bread a day. How many loaves are need for (a) M-days (b) Kweeks (c) How long will p loaves last? (a) 4m loaves (b) 28k Loaves (c) days
          \nUse of brackets
          \n<\/strong>Examples 1: <\/strong> The angles of a triangle measured in decrees’ are 2, 3+ 5, 4 (+ 10). What are the values of the angles?
          \nSOLUTION
          \n<\/strong>2 + (3 + 5) + 4 ( + 10) = 180
          \n2 + 3 + 5 + 4+ 40 = 180
          \n9x + 45 + 180 \u2013 45
          \n =
          \n= 150
          \nThe angles are 300<\/sup>, 500<\/sup> and 1000<\/sup>
          \n\t\t\t<\/sub>2.\u00a0\u00a0\u00a0\u00a0The results of adding three consecutive numbers is one hundred and twenty. Find the number.<\/p>\n

          \u00a0
          \n\u00a0
          \n\u00a0SOLUTION
          \n<\/strong>Let the numbers be, + 1,+ 2
          \n++ 1 + + 2 = 120
          \n3 + 3 = 120
          \n3 (+1) = 120
          \n + 1 + 40
          \n + 40 -1
          \n= 39o<\/sup>
          \n\t\tExercise: The greatest of 5 consecutive even numbers is 2a. What is the sum of all the five numbers?<\/p>\n","protected":false},"excerpt":{"rendered":"

          WEEK THREE APLLICATION OF BINARY NUMBERS Bunch Cards: it is used in business farms, examining…<\/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-1488","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\/1488","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=1488"}],"version-history":[{"count":1,"href":"https:\/\/ecolebooks.com\/nigeria\/wp-json\/wp\/v2\/posts\/1488\/revisions"}],"predecessor-version":[{"id":1489,"href":"https:\/\/ecolebooks.com\/nigeria\/wp-json\/wp\/v2\/posts\/1488\/revisions\/1489"}],"wp:attachment":[{"href":"https:\/\/ecolebooks.com\/nigeria\/wp-json\/wp\/v2\/media?parent=1488"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/ecolebooks.com\/nigeria\/wp-json\/wp\/v2\/categories?post=1488"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/ecolebooks.com\/nigeria\/wp-json\/wp\/v2\/tags?post=1488"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}