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04/11/2023 Sajjad Ahmad Awan PhD Research Scholar TE DTSC Khushab 1
04/11/2023 Sajjad Ahmad Awan PhD Research Scholar TE DTSC Khushab 2
TERMINOLOGIES USED IN
MATHEMATICS
BY:-SAJJAD AHMAD AWAN PhD RESEARCH
SCHOLAR
04/11/2023 Sajjad Ahmad Awan PhD Research Scholar TE DTSC Khushab 3
Introduction:
1. Education:Education means the change in
behaviour and attitude.2. Mathematics:It is the branch of science which
deals with calculations known as mother of science. Its branches are Mathematic, Algebra and Geometry.
04/11/2023 Sajjad Ahmad Awan PhD Research Scholar TE DTSC Khushab 4
Introductions:
3. Terminology:A specific word that is used for a
specific thing is known as terminology.
04/11/2023 5
Objectives:
1. Specific Objectives: To make the student familiar with
the definitions of mathematical terms.
To inculcate the concept of these terms.
To make the students understand these terms completely and make them able to use these terms in mathematical applications.
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Objectives:
2. General Objectives: To enhance the mathematical
understanding of the students.
To enhance the mathematical skills of the students.
To provide the students mathematical practice regarding these terms.Sajjad Ahmad Awan PhD Research
Scholar TE DTSC Khushab
04/11/2023 Sajjad Ahmad Awan PhD Research Scholar TE DTSC Khushab 7
1. Symbols:Symbol:Generally a symbol refers to some image
or objects which suggests to some thing else. For example:
Basic Symbols used in Mathematics:
= These two parallel lines are named as symbol equal to.
≠ This named as not equal to.- This symbol is named as Subtract.
04/11/2023 Sajjad Ahmad Awan PhD Research Scholar TE DTSC Khushab 8
1.Symbols:X It is a multiplication sign.< This sign named as greater than.>This sign named as less than.Є This is named as the member of.U This symbol shows the union of
two sets.∩ This symbol shows the
intersection of two sets.( ) This sign is known parenthesis.@ It is taken “At the Rate of”.
04/11/2023 Sajjad Ahmad Awan PhD Research Scholar TE DTSC Khushab 9
2.Sets:Set: A set is collection of well
defined objectsSub Set: If A and B are two sets
and every member of set A is the member of set B, then set A is as sub set of set B.
Union of two Sets: The union of two sets A and B is set consisting of all the elements which are in set A or in set B.
04/11/2023 Sajjad Ahmad Awan PhD Research Scholar TE DTSC Khushab 10
2.Sets:Intersection of Two Set: The
intersection of two sets A and B is a set consisting of all the common elements of sets A and B.
Power Set: If A is any set then the set consisting of all the subsets of the set A is called power of A.
Null Set: If there is no element present in a set it is called a null set.
04/11/2023 Sajjad Ahmad Awan PhD Research Scholar TE DTSC Khushab 11
3.Ratio:Ratio: A relation between two
quantities in same units i.e. a:b
Proportion: A relation between two ratios is called proportion. i.e. a:b:: c:d
Direct Proportion: If a proportion between two ratios is such that with the increase one ratio the second ratio may rise is called direct proportion.
04/11/2023 Sajjad Ahmad Awan PhD Research Scholar TE DTSC Khushab 12
3.Ratios:
Inverse Proportion: If a proportion between two ratio is such that with the rise of one ratio the second decreased that is called inverse proportion.
Percentage: Percentage is such common fraction, in which denominator consists 100 i.e.12% means 12/100.
04/11/2023 Sajjad Ahmad Awan PhD Research Scholar TE DTSC Khushab 13
3.Ratios:Profit: The sale price of product is
more than the purchase price is called profit. i.e
Net Profit = Sale Price-Purchase Price.
Loss: The purchase price is more than the sale price is called loss. i.e.
Loss = Purchase Price – Sale Price
Profit Loss Percent: The Profit or loss on product purchased in 100 R.s is called profit percent.
04/11/2023 Sajjad Ahmad Awan PhD Research Scholar TE DTSC Khushab 14
4.Algebra:Algebra: It is the branch
of mathematics which deals generalized arithmetic to solve the complicated problems.
Constant: The value which remains fixed and does not change is called constant. e.g: 2,3,5,8.
Variable: The value which is not fixed and varies is called variable. e.g: X,Y,Z.
04/11/2023 Sajjad Ahmad Awan PhD Research Scholar TE DTSC Khushab 15
4.Algebra:Co-efficient: The number which
is multiply by variable is called co-efficient. e.g: 3x,5y,etc.
Equation: An open sentence which shows “=“ among two expressions is called equation.
e.g: 3x=12, x+2=9. In-equation: Such sentences in
which symbols < or > used are called in-equation. e.g: 3x>12, x<7.
04/11/2023 Sajjad Ahmad Awan PhD Research Scholar TE DTSC Khushab 16
5.Geometry:Geometry:Geometry means
the measurement of earth.Square: The shape
having four equal sign with four right angles is called square.□
Rectangle: The shape which consists of four sides having opposite sides equal is called rectangle.
04/11/2023 Sajjad Ahmad Awan PhD Research Scholar TE DTSC Khushab 17
5.Geometry:Sphere: A sphere is solid
bounded by a single curve surface with equal distance for all sides.©
Centre: The fixed point of sphere is called a centre.
Radius: The distance from centre of circle upto the outer side.
Angle: The two rays with common end point is called angle.
04/11/2023 Sajjad Ahmad Awan PhD Research Scholar TE DTSC Khushab 18
6.Conclusions:
The students will understands all these terminologies very well.
The students will be able to improve their knowledge.
The well qualified students will take active part in the progress of Pakistan.
04/11/2023 Sajjad Ahmad Awan PhD Research Scholar TE DTSC Khushab 19
7.Suggestions:The post graduate teachers should
be provided in primary school of rural areas of Punjab.
AV aids should be provided in school of remote areas for the better quality of education.
Teachers training courses should be conducted after 3 years for newly recruited and senior teachers.
04/11/2023 Sajjad Ahmad Awan PhD Research Scholar TE DTSC Khushab 20
Thanks