0:03 okay
0:07 let's continue our lesson so
0:08 we're going to discuss the mathematical
0:10 language in symbols
0:12 so i have a questions to you i hope you
0:14 will answer that
0:22 and then another question is is mathematics
0:23 mathematics
0:26 a universal language so
0:30 very tricky so
0:33 as a good gen i
0:38 another question this is the truth of
0:40 false if mathematics
0:43 is a universal language then mathematics
0:52 i hope you will answer your question my questions
0:53 questions
0:57 okay mathematical language in the
0:59 so language is systematic means of the
1:01 communicating ideas or feelings by the
1:01 use of
1:05 conventional signs sounds gestures
1:07 marks having understood meanings
1:09 according to webster
1:12 miriam webster of 2017.
1:15 but mathematical language system used to communicate
1:16 communicate
1:19 mathematical ideas it has its own grammar
1:20 grammar
1:23 syntax vocabulary word order
1:26 synonyms negotiations conventions
1:30 idioms abbreviations sentence structure
1:33 and paragraph structure
1:35 so the language of in mathematics differs
1:36 differs
1:39 from the language of ordinary speech in
1:41 three important ways
1:44 according to jamison 2000 so now we have
1:46 non-temporal which is
1:49 not past present or future or
1:53 devoid of emotion context and last we
1:55 have precise
1:58 but according to dr carol burns mathematics
1:59 mathematics
2:02 language is precise because it enables
2:06 to make very fine distinction it is also
2:08 concise because it enables
2:12 to say things briefly and lastly we have
2:15 powerful according to dr burns
2:18 because it's able to express complex
2:22 thought with relative ease
2:24 so we have two comparisons regarding
2:27 mathematical language versus ordinary language
2:28 language
2:29 so all we know that mathematical
2:31 language it has a highly
2:34 compact and focus because
2:37 it had a compact conveying a lot of
2:38 information and ideas
2:42 in a very little space and it focused
2:44 because it convey the important
2:46 information for the
2:48 current situation and omitting the rest
2:51 while for the ordinary language
2:54 it is full of ambiguities
2:57 and you know
3:00 innuendos hidden agenda and unspoken
3:03 cultural assumption according to jamison 2000
3:10 math words expressions and sentences
3:13 can help students explain what they think
3:14 think
3:17 it's precise math terms and symbols are
3:18 needed to achieve
3:21 better understanding and deeper appreciation
3:22 appreciation
3:53 and then we have the operation terms and
3:55 symbols so all we know that
3:58 elementary addition subtraction
4:01 multiplication and division
4:05 symbols and then as for the
4:07 mathematical expressions so one or more
4:09 numbers in order one
4:12 or variables that are connected by the
4:14 four fundamental operations raising the
4:16 powers and extracting roots
4:18 uh for example we have three x plus two
4:20 y minus
4:22 negative five or pi r squared or square
4:24 root of x squared plus b squared
4:26 so where the variable that represents
4:27 the unknown and makes
4:31 use of letters we have example x y z
4:35 a b c r or etcetera
4:37 where the constant represents any single
4:41 number so 0 1 103 pi
4:43 etc so we have the term expression
4:44 preceded by
4:47 the addition or subtractions
4:48 well for the literary coefficients that
4:50 is the unknown quantity in terms of variable
4:51 variable
4:53 but numerical coefficient is the
4:55 constant which determines
4:58 the number of times a variable is to be
5:01 multiplied for example we have 2 pi r
5:05 plus 1 all we know that 2 pi is our
5:06 numerical coefficient
5:09 and r is the literal coefficient this is
5:10 the variable
5:17 so we have also the here 3x
5:21 is one term monomial
5:24 2x plus 2y that is binomial
5:26 three x plus two y minus five that's three
5:27 three
5:31 trinomial and then five x plus six a six y
5:31 y
5:47 okay so it represents the given or
5:49 presses in symbols
5:52 so the sum of two numbers is five oh so
5:55 for example let x be the first number
5:58 and then the x minus five equals the second
5:59 second
6:03 number as another example for number two
6:04 the two more
6:08 than twice a certain number so let
6:11 x be the certain number then three
6:14 x plus two the required
6:18 number so
6:21 number we have number three ten less
6:23 than twice a certain number
6:25 all we know that x be the certain number
6:27 so savian
6:29 ten less than twice a certain number and
6:30 i'm not in an exactly certain number
6:33 gallons in avian twice so we have two x
6:34 minus 10
6:37 so that is the required number
6:40 the difference of two numbers is five so
6:44 let me the x be the first
6:46 number or the larger than the x minus
6:48 five the second number the smaller casing
6:49 casing
6:51 the difference of two numbers is five so
6:53 we are looking for the
6:56 uh two numbers is uh the difference of
6:58 two numbers is five
7:01 so let me the x be the first number
7:03 and then the x minus five will be the
7:05 second number
7:07 and then next we have the three
7:09 consecutive integers so
7:12 let x be the first integer then x plus
7:14 one the second integer the x plus two is
7:16 the third integer
7:19 on the three consecutive integers even
7:20 now we are
7:22 looking for the event so we have the let
7:24 x be the first
7:27 integer second the x plus two integer
7:27 and then
7:30 x plus four will be the third even integer
7:36 while for the add integer so we have the
7:37 let x be the
7:40 first add in the year then x plus 4 to
7:43 the second integer and then lastly we
7:44 have the x
7:47 plus four the third add integer
7:49 so next i hope that anything then you
7:51 attend a governation
7:53 so it represents in the given word
7:55 appraisal symbol
7:58 in symbols so number eight we have 10
8:00 exceeds a given number so we have
8:01 another note that
8:04 let x be the given number and then 10
8:08 exceeds a given number so
8:11 10 minus x the excess of a number the
8:13 back has a 10 exceeds
8:17 a given number now next
8:20 the square of sum of a
8:23 and b so let a plus b
8:26 is the sum of a and b but the question
8:27 is this
8:30 the given word is the square of the sum
8:33 so we have to square the a plus b
8:35 though that will be the square of the
8:37 sum of a and b
8:40 next the sum of squares of a
8:44 and b it means a squared will be the
8:46 square of a and then b squared will be
8:47 the square of b
8:49 and then a squared plus b squared is the
8:51 sum of the squares of
9:02 is twice as old as ken and ken
9:05 is three times as old as ian express
9:08 of each age in terms of x so do i remember
9:09 remember
9:24 10 is three times old as e and also
9:26 and then mark is twice as old as ken so
9:28 we have
9:31 twice the old of ken's so we have six x
9:44 next the sum of x and y subtracted from
9:46 the sum of a and b
9:49 so a plus b will be the sum of a and b
9:52 x plus y will be the sum of x and y so the
9:53 the
9:56 the the the pressure is impossible
9:57 nothing is
10:00 quantity of a plus b minus the quantity
10:02 of x plus a causing a habit
10:06 the sum of x y plus y will be subtract
10:08 from the sum of the a and b so granular engine
10:11 engine
10:13 so the perimeter of isosceles triangle
10:15 is the base
10:18 is two centimeters less than the two
10:21 equal sides so let's be the x will be
10:21 the length of
10:24 one side so one way perimeter in a
10:35 the the if the base is 2
10:37 centimeters less than the two equal
10:38 sides oh
10:42 so x minus 2 will be the length of the base
10:43 base
10:47 and then the perimeter is x plus x
10:59 so x x x equal so next
11:02 jet is four years younger than his
11:03 brother jeff
11:06 four years younger than his brother jeff
11:09 so but let nathan and x will be the age
11:10 of jeff
11:14 and sabijan the aids of jet will be
11:17 younger four years younger than his
11:17 brother so
11:21 x minus four diva tanda see
11:30 jeff so
11:33 the age of jeff a jet i mean is x
11:35 minus four so find the difference of
11:36 squares of their age
11:40 so let x squared be the squares of
11:47 so x minus four quantity places where it
11:48 will be the age
11:51 of jet's h and then looking at equation on
11:52 on
11:55 x squared minus x minus four
11:56 quantity squareds will be the difference
11:59 of their square x squared will
12:03 union hd jeff diba and then
12:08 x minus four it is knee yeah cause it is a
12:14 okay next we have the difference between
12:15 the squares of two consecutive odd integers
12:16 integers
12:18 let x be the first part in the years
12:19 then x
12:22 plus four two will be the second integer
12:22 and then
12:24 x squared will be the square of the
12:26 first integer
12:27 and then x plus 2 raised to the square
12:29 root with the square root of the second integer
12:30 integer
12:33 so the x squared minus quantity of x
12:34 plus 2
12:35 this squared will be the difference
12:37 between the square of two constants
12:40 and then lasts we have curl and has two
12:44 times as many 10 pairs as
12:46 you know carl has two times as many 10
12:48 peso points than
12:51 five pairs of points so we'll let x be the
12:51 the
12:54 number of five peso coins and then
12:58 sabi jan twice as many so we have two x
13:30 see you again thank you ciao
