{"id":402,"date":"2023-09-25T14:13:24","date_gmt":"2023-09-25T14:13:24","guid":{"rendered":"http:\/\/localhost\/ecole9ja\/?p=402"},"modified":"2023-09-25T14:13:59","modified_gmt":"2023-09-25T14:13:59","slug":"week-9-and-10-jss-1-second-term-mathematics-lesson-notes","status":"publish","type":"post","link":"https:\/\/ecolebooks.com\/nigeria\/posts\/week-9-and-10-jss-1-second-term-mathematics-lesson-notes\/","title":{"rendered":"Week 9 and 10 – Jss 1 Second Term Mathematics Lesson Notes"},"content":{"rendered":"

\u00a0WEEK 9 & 10\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0ALGEBRAIC PROCESS
\n<\/strong>USE OF SYMBOLS \/ SHAPES
\n<\/strong>ALGEBRA is the branch of mathematics in which letters of the alphabets and symbols are used in place of numbers.
\n\"\"\/We can use any shape to represent our letter in other to interpret the sentence very well.
\n\"\"\/\"\"\/Examples of shapes includes <\/p>\n

\u00a0
\n\u00a0\"\"\/Examples<\/strong>: Find the missing numbers that make the following open sentence true:<\/p>\n

    \n
  1. + 7 = 14\n<\/li>\n<\/ol>\n

    \u00a0\"\"\/<\/p>\n

      \n
    1. + 8= 14\n\t\t<\/li>\n<\/ol>\n

      \u00a0\"\"\/<\/p>\n

        \n
      1. \n
        12 \u00f7 = 3\n<\/div>\n

        \"\"\/\n\t\t\t\t<\/li>\n

      2. 30 = – 9\n\t\t<\/li>\n<\/ol>\n

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

          \n
        1. 14 \u2013 7 = 7 [the statement is true] (7 moves to the right hand side and the sign changes to negative sign).\n<\/li>\n
        2. 14- 8 = 6 [the statement is true]( 8 moves to the right hand side and the sign changes to negative sign).\n<\/li>\n
        3. 12 x 3 = 36 [the statement is true] 12 moves to the right hand side and the sign changes to multiplication sign).\n<\/li>\n
        4. 30 + 9 = 40 [the statement is true]( 9 moves to the left hand side and the sign changes to positive sign).\n<\/li>\n<\/ol>\n

          DO THESE:
          \n<\/strong><\/p>\n

            \n
          1. \"\"\/8 X 7 =\n<\/li>\n
          2. \"\"\/53 = 12 +\n<\/li>\n
          3. \"\"\/\"\"\/121 \u00f711 =\n<\/li>\n
          4. + 42 = 80\n<\/li>\n<\/ol>\n

            \u00a0USING LETTER TO REPRESENT NUMBERS<\/p>\n

            \u00a0It is more convenient to use a letter of the alphabets to represent an unknown number instead of shapes.
            \nThe statement \u02a0 + 7 = 12 is called an algebraic sentence or equation. It means \u02a0 plus seven equals twelve. Thus for the sentence to be true, we must add 5. <\/p>\n

            \u00a0
            \n\u00a0Examples:<\/strong> Find the value of each letter that will make the following sentences true.<\/p>\n

              \n
            1. B = 8 + 6\n<\/li>\n
            2. S x 3 = 18\n<\/li>\n
            3. F = 6 x 7\n<\/li>\n
            4. P = 25 + 37\n<\/li>\n
            5. 40 \u2013 x =X\n<\/li>\n<\/ol>\n

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

                \n
              1. B = 8 + 6 = 14. Therefore B = 14\n<\/li>\n
              2. S x 3 = 18 , 18 \/ 3 = 6. Therefore 6 x 3 = 18\n<\/li>\n
              3. F = 6 x 7 = 42. Therefore F = 42\n<\/li>\n
              4. P = 25 + 37 = 62. Therefore P = 62\n<\/li>\n
              5. \n
                40 \u2013 x = x , = 40 = x + x\n<\/div>\n

                = 40 = 2x [divide both side by 2]
                \n40\/2 = 2x\/2
                \n20 =x
                \nTherefore x = 20.\n<\/li>\n<\/ol>\n

                \u00a0SUBSTITUTING NMBERS
                \nThe value of an expression such as x+ 3 can be found by replacing x by a given number. This is called substitution.
                \nEXAMPLES:<\/p>\n

                  \n
                1. Find the value of x \u2013 9 if (i) x = 23, (ii) x = 15\n<\/li>\n
                2. Find the value of y + 10 when y is 20\n<\/li>\n
                3. Find the value of t + 19 when t is 45.\n<\/li>\n<\/ol>\n

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

                    \n
                  1. X \u2013 9 = when x = 23; 23 \u2013 9 = 12.\n<\/li>\n
                  2. Y + 10 = when y is 20 ; 20 + 10 = 30\n<\/li>\n
                  3. t + 19 = when 45 + 19 = 64\n<\/li>\n<\/ol>\n

                    \u00a0
                    \n\u00a0USING ALGEBRA FOR SOLVING WORD PROBLEMS
                    \nNOTE: Remember that you can use any letters of the alphabet to represent an unknown number.
                    \nExamples:
                    \n<\/strong>1.\u00a0\u00a0\u00a0\u00a0What number when added to 8 gives 20?
                    \n2.\u00a0\u00a0\u00a0\u00a0Think of a number subtract 5 from it and the result is 15. What is the number?
                    \n3.\u00a0\u00a0\u00a0\u00a0when a number is multiplied by 5 the result is 20. What is the number?
                    \nSolution:
                    \n<\/strong>1.\u00a0\u00a0\u00a0\u00a0let x be the number you add to 8 to give 20.
                    \n\u00a0\u00a0\u00a0\u00a0X + 8 = 20
                    \n\u00a0\u00a0\u00a0\u00a0Subtract 8 from both sides
                    \n\u00a0\u00a0\u00a0\u00a0 X + 8 \u2013 8 = 20 \u2013 8
                    \n\u00a0\u00a0\u00a0\u00a0X = 12<\/p>\n

                    \u00a02.\u00a0\u00a0\u00a0\u00a0Let the number be y
                    \n\u00a0\u00a0\u00a0\u00a0Y \u2013 5 = 15
                    \n\u00a0\u00a0\u00a0\u00a0Add 5 to both side
                    \n\u00a0\u00a0\u00a0\u00a0Y \u2013 5 + 5 = 15 + 5
                    \n\u00a0\u00a0\u00a0\u00a0Y = 20
                    \n3.\u00a0\u00a0\u00a0\u00a0Let Z be the number you multiply by 5 to get 20
                    \n\u00a0\u00a0\u00a0\u00a0Z X 5 = 20 [note that when multiplication sign moves other side it turn to division]
                    \n\u00a0\u00a0\u00a0\u00a0Z = 20\/5
                    \n\u00a0\u00a0\u00a0\u00a0Z = 4 [this statement is true.
                    \nEVALUTION:
                    \n<\/strong>1.\u00a0\u00a0\u00a0\u00a0A boy has y number of pencils. He gave 3 to his brother and 2 to his sister. How many pencils \u00a0\u00a0\u00a0\u00a0has he left?
                    \n2.\u00a0\u00a0\u00a0\u00a0 Mrs Elizabeth bought M exercise books yesterday, she bought 5 others today. If she has 20 books altogether, how many exercise books does she buys yesterday?
                    \n3.\u00a0\u00a0\u00a0\u00a0169 \/ X = 13
                    \n4.\u00a0\u00a0\u00a0\u00a0Y \u2013 42 + 2Y + 60
                    \nASSIGNMENT:
                    \n<\/strong>EXERCISE 11.6 NO 1,2,5,8,14,15,22 and 23 PAGE 125<\/p>\n

                    \u00a0<\/p>\n","protected":false},"excerpt":{"rendered":"

                    \u00a0WEEK 9 & 10\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0ALGEBRAIC PROCESS USE OF SYMBOLS \/ SHAPES ALGEBRA is the branch of…<\/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-402","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\/402","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=402"}],"version-history":[{"count":1,"href":"https:\/\/ecolebooks.com\/nigeria\/wp-json\/wp\/v2\/posts\/402\/revisions"}],"predecessor-version":[{"id":403,"href":"https:\/\/ecolebooks.com\/nigeria\/wp-json\/wp\/v2\/posts\/402\/revisions\/403"}],"wp:attachment":[{"href":"https:\/\/ecolebooks.com\/nigeria\/wp-json\/wp\/v2\/media?parent=402"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/ecolebooks.com\/nigeria\/wp-json\/wp\/v2\/categories?post=402"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/ecolebooks.com\/nigeria\/wp-json\/wp\/v2\/tags?post=402"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}