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3/4/2014

Sajjad Ahmad Awan PhD Research Scholar TE DTSC Khushab

1
BY:SAJJAD AHMAD AWAN PhD RESEARCH
SCHOLAR

3/4/2014

Sajjad Ahmad Awan PhD Research Scholar TE DTSC Khushab

2
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.
1.

3/4/2014

Sajjad Ahmad Awan PhD Research Scholar TE DTSC Khushab

3
Terminology:
A specific word that is used for a specific thing
is known as terminology.
3.

3/4/2014

Sajjad Ahmad Awan PhD Research Scholar TE DTSC Khushab

4
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.


3/4/2014

5
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
3/4/2014

6
 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.
3/4/2014

Sajjad Ahmad Awan PhD Research Scholar TE DTSC Khushab

7
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”.
3/4/2014

Sajjad Ahmad Awan PhD Research Scholar TE DTSC Khushab

8
 Set:

A set is collection of well
defined objects
 Sub 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.
3/4/2014

Sajjad Ahmad Awan PhD Research Scholar TE DTSC Khushab

9
 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.
3/4/2014

Sajjad Ahmad Awan PhD Research Scholar TE DTSC Khushab

10
 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.
3/4/2014

Sajjad Ahmad Awan PhD Research Scholar TE DTSC Khushab

11
 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.
3/4/2014

Sajjad Ahmad Awan PhD Research Scholar TE DTSC Khushab

12
 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.
3/4/2014

Sajjad Ahmad Awan PhD Research Scholar TE DTSC Khushab

13
 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.
3/4/2014

Sajjad Ahmad Awan PhD Research Scholar TE DTSC Khushab

14
 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.
3/4/2014

Sajjad Ahmad Awan PhD Research Scholar TE DTSC Khushab

15
 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.
3/4/2014

Sajjad Ahmad Awan PhD Research Scholar TE DTSC Khushab

16
 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.
3/4/2014

Sajjad Ahmad Awan PhD Research Scholar TE DTSC Khushab

17
 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.

3/4/2014

Sajjad Ahmad Awan PhD Research Scholar TE DTSC Khushab

18
 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.
3/4/2014

Sajjad Ahmad Awan PhD Research Scholar TE DTSC Khushab

19
3/4/2014

Sajjad Ahmad Awan PhD Research Scholar TE DTSC Khushab

20

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Termonologies used in mathematics by Sajjad Ahmad Awan TE DTSC Khushab

  • 1. 3/4/2014 Sajjad Ahmad Awan PhD Research Scholar TE DTSC Khushab 1
  • 2. BY:SAJJAD AHMAD AWAN PhD RESEARCH SCHOLAR 3/4/2014 Sajjad Ahmad Awan PhD Research Scholar TE DTSC Khushab 2
  • 3. 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. 1. 3/4/2014 Sajjad Ahmad Awan PhD Research Scholar TE DTSC Khushab 3
  • 4. Terminology: A specific word that is used for a specific thing is known as terminology. 3. 3/4/2014 Sajjad Ahmad Awan PhD Research Scholar TE DTSC Khushab 4
  • 5. 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.  3/4/2014 5
  • 6. 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 3/4/2014 6
  • 7.  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. 3/4/2014 Sajjad Ahmad Awan PhD Research Scholar TE DTSC Khushab 7
  • 8. 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”. 3/4/2014 Sajjad Ahmad Awan PhD Research Scholar TE DTSC Khushab 8
  • 9.  Set: A set is collection of well defined objects  Sub 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. 3/4/2014 Sajjad Ahmad Awan PhD Research Scholar TE DTSC Khushab 9
  • 10.  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. 3/4/2014 Sajjad Ahmad Awan PhD Research Scholar TE DTSC Khushab 10
  • 11.  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. 3/4/2014 Sajjad Ahmad Awan PhD Research Scholar TE DTSC Khushab 11
  • 12.  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. 3/4/2014 Sajjad Ahmad Awan PhD Research Scholar TE DTSC Khushab 12
  • 13.  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. 3/4/2014 Sajjad Ahmad Awan PhD Research Scholar TE DTSC Khushab 13
  • 14.  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. 3/4/2014 Sajjad Ahmad Awan PhD Research Scholar TE DTSC Khushab 14
  • 15.  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. 3/4/2014 Sajjad Ahmad Awan PhD Research Scholar TE DTSC Khushab 15
  • 16.  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. 3/4/2014 Sajjad Ahmad Awan PhD Research Scholar TE DTSC Khushab 16
  • 17.  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. 3/4/2014 Sajjad Ahmad Awan PhD Research Scholar TE DTSC Khushab 17
  • 18.  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. 3/4/2014 Sajjad Ahmad Awan PhD Research Scholar TE DTSC Khushab 18
  • 19.  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. 3/4/2014 Sajjad Ahmad Awan PhD Research Scholar TE DTSC Khushab 19
  • 20. 3/4/2014 Sajjad Ahmad Awan PhD Research Scholar TE DTSC Khushab 20