12/23/15
jnv hothpet
12/16/15
Mathematics project
Jawahar Navodaya Vidyalaya
Yadgir
Mathematics
exhibition
Topic of the EXIHIBITION :SIMILAR TRIANGLES AND
PROOF BASIC PROPORTIONALITY THEOREM
Name of the EXIHIBITOR : SHREENIVAS.N. PATIL
CLASS
: X
SCHOOL
: J N.V.YADAGIRI
Guided by: -1. Gangadhar T.(T.G.T MATHEMATICS)
Cost of the exhibition:
App.75 RS
Theme of an experiment: The use of Mathematics in
daily life situation to improve the quality of daily life.
PRINCIPLE: Enjoy the learning while doing.
CONTENT
INVOLVED IN THE EXPERIMENT:
(1)
Concept of similarity in the squares.
(2)
Concept of similarity in triangles.
(3)
Concept of Thales theorem.
(4)
Concept of parallel lines.
(5)
Concept of corresponding angles.
(6)
Verification of Basic Proportionality
theorem.
STATEMENT OF THALES THEOREM:
If a line is drawn parallel to one side of the triangle to intersect the other
two sides in distinct points, then other two sides are divided in same ratio.
OBJECTIVES OF THE EXPERIMENT:
(1)Two recall the concept of parallel lines.
(2)Two recall Play Fair’s Axiom.
(3)To enjoy the concept learnt by hands on
experiment to
reinforce
in mind forever.
(4)To apply the theorem to the daily life situations
whenever
they
come across.
PROCEDURE
: 1. The idea of the similar squares will be
Demonstrated
using circuit model device
Developed by
the own idea of the pupil.
2. The concept of
squares will be demonstrated
by the pupil using circuit model device
developed by the
own idea of the pupil.
3. The B.P.T
theorem/ Thales theorem will be
demonstrated and
the proof will be verified
by the working
model.
CONCLUSION: As it is the case of an hands on
experiment for
the student, the
concept learnt will be remained
in the mind
permanently and he will develop
the passion of check and verify the content
and
then believe in the
principle which will help
him to eradicate
the blinds belief.
Sub -Teachers Principal
11/12/15
Lesson plan on constructional geometry
SUBJECT: MATHEMATICS CLASS: X SECTION: (A+B)
SYLLABUS TO BE COVERED FROM:
1/12/2014 TO 15/12/2014
TOPIC: CONSTRUCTIONAL GEOMETRY.
CONTENT: The aim of the topic is to develop
the fallowing concept about the Constructional ability to draw the figure
according to given scale factor using compos box instruments.
·
Introduction
of constructions of known angles based
on the concept learnt in the previous year
and bridging the gap if necessary
·
Construction
of perpendicular bisector.
·
Construction
of angle bisector.
·
Construction
of similar triangles.
·
Construction
of tangent to a circle at a point on its circumference.
·
Construction
of pair of tangents from an external point.
·
Construction
of a pair of tangents without using its centre.
·
Construction
of tangent at a given point on(alternate segment theorem) .
·
Locating
the centre of a bangle.
INSTRUCTIONAL OBJECTIVES:
pupils will be made to know about
·
New terms found in the topic.
·
Concept
of the common difference and checking whether the given terms forms an AP or
not?.
·
Testing
the given sequence is in AP or not.
·
Finding
the nth term of an AP.
·
Finding
the sum of an AP.
·
Solving
the problems of day to day life situation.
TEACHING AIDS TO BE USED:
To reinforce the concept for ever in
the pupil’s mind the fallowing teaching aids can used.
·
To
represent the given data in the bar digramme and hence checking the common
difference. Justify for form of an AP.
·
Describing
the figure to illustrate sum of an AP and to count the squares directly.
·
To
draw the bar graph and testing whether it forms an AP or not?
INNOVATIVE PRACTICE TO BE USED
Divide the pupils into sub groups consist of four
members provide the questionnaire to them along with model/chart/table etc so
that to use the models to get sequence (series) found in the questionnaire, let
them discuss and solve the problems pertaining to to concept of an AP. Pupils
will be directed to solve the problem by using different method learnt in the
above topic and The group which has come
with correct answer and enable to demonstrate the answer of given sequence both experimentally and as well as induction
hypotheses is to be awarded the ranks.
LABORATORY ACTIVITY TO BE CONDUCTED
Each four members group of pupils were instructed to
discuss the problem assigned and perform the activity to get more enthusiasm in
teaching learning process for ever.
·
To
identify the common difference of and ascertain sequence whether it forms an AP
or not? .
·
Reading
the data by the bar diagramme of the given problem and hence find the sequence.
·
To
find the sum of an AP using the histogram.
·
Verify
the sum of an AP by drawing an histogram for the given problem.
PROJECT TO BE INITIATED
Each group of pupils was instructed to generate
problems of arithmetic progression and introduce the value based questions on
the concept of AP.
Or
Construction of working models to find the difference
of an AP, and submit the same to mathematics laboratory.
Or
Each group of pupils will directed to prepare power
point presentation on the topic Arithmetic progression
Or
The group will be directed to prepare quiz questioner
using power point presentation.
ASSIGNMENT/HOME WORK TO BE GIVEN
To have thorough understanding of knowledge about the
topic and supplement the concept learnt in the class room the fallowing methods
can be adopted.
·
Problems
assigned by the teacher
·
Problems
other than text book.
·
Problems
collected from reference book
·
Problems
asked in CBSE sample papers
EXPECTED BEHAVIORAL OUTCOME OF THE
TOPIC
After the rigorous practice and successful completion
of the topic pupils able to
Ø Recall the concept learnt
Ø Understand the different methods to
solve problems of arithmetic progression.
Ø Apply the knowledge to solve problems
of daily life situation as and when they come across.
Ø To link the concept to higher class
problems
Ø To develop the spirit of solving the problems
based on the HOTS.
Ø Analyze the critical situation and
take decision to solve.
METHODS OF
EVALUATION FOR THE TOPIC COVERED
To know the
understanding level of the topic taught one among the fallowing method can be
adopted
v Through the interaction in the class
room situation.
v Through oral test.
v Through class test
v Through assignments
v Quiz question.
v Through project
v Home work,
STATUS OF THE COMPLETION OF THE
PREVIOUS PORTION
·
Completed
·
Not
completed
SUB TEACHER VICE- PRINCIPAL PRINCIPAL.
lesson plan on trigonometry
SUBJECT: MATHEMATICS
CLASS: X SECTION: (A+B)
SYLLABUS TO BE COVERED FROM: 16/11/2015 TO 30/11/2015
TOPIC: Height and Distances (Application of Trigonometry)
CONTENT: The aim of the topic is to develop
the fallowing concept about the Trigonometry.
· Introduction of trigonometry based on
the concept learnt in the previous year
and bridging the gap if necessary
· Geometrical interpretation of
trigonometric ratios
· Etymology of Trigonometry.
· Linking the concept of trigonometry and
geometry to discover values of multiple angles
· Concept of Height and distance with
special reference to the Pythagoras
triangle and height as perpendicular where as base as distance.
· Drawing the figure and transfer the
data of the word problem into a known Pythagorean triangle, location of angle
and its corresponding sides.
INSTRUCTIONAL OBJECTIVES: pupils will
be made to know about
· New terms found in the topic.
· To read the problem, analyze
critically and transform the data as right angled triangle then find the
solution to the given words problem.
· To develop the skill of transforming
the given statement into right angled triangle hence apply the concept of
trigonometry to solve the day to day life problems as and when they come across
.
· Definition of angle of elevation, and
angle of depression,
· To develop the skill of identifying
reference angle, object and its angle of elevation/angle of depression.
TEACHING AIDS TO BE USED:
To reinforce
the concept for ever in the pupil’s mind the fallowing teaching aids can used.
· A chart of right angled triangle,
highlighting such as Base, opposite side and Hypotenuse to reinforce the
concept for ever among young children.
· Interpret the concept of angle of
elevation Geometrically and analyze the data with statement hence find the
solution to the given problem
· Interpret the concept of angle of
Depression Geometrically and analyze the
data with statement, hence find the solution to the given problem
· Power point presentation to be shown in smart
room.
INNOVATIVE PRACTICE TO BE USED
Pupils will be divided into sub
groups of four members in each group and question on each concepts learnt in
the above topic has to be supplied after the completion of topic instructed the
pupils to solve by discussion and to come out with solution.
LABORATORY ACTIVITY TO BE CONDUCTED
Each
four members group of pupil were instructed to discuss the problem assigned and
perform the activity to get more enthusiasm in teaching learning process for
ever.
· To
find the height of a building/water tank/tower /electric pole /top of
the tall tree, using clinometer
· To
list out figures of day to day
life situation based on the concept of angle elevation identify the
reference angle , opposite side and
base,
· To list out every day examples to be
used for angle of elevation /depression.
·
PROJECT TO BE INITIATED
1) To study the distance between
different of a geometrical figures when it is displaced/rotated. Enhance the
familiarity with coordinate geometry.
2) Representation of Golden quadrilateral
plan of action from India map and its
location in coordinate axis and hence study the cost of expenditure for
construction of Golden quadrilateral connecting the important cities of India
(cross curricular project linking the concept of literature , English, Social
science, science Mathematics. And special reference to the Mines, and minerals
available around the Golden quadrilateral,)
3) Each group of pupils will directed to
prepare power point presentation on the topic Coordinate Geometry and its use
in day to day life situation.
ASSIGNMENT/HOME
WORK TO BE GIVEN
To
have thorough understanding of knowledge about the topic and supplement the
concept learnt in the class room the fallowing methods can be adopted.
· Problems assigned by the teacher
· Problems other than text book.
· Problems collected from reference book
· Problems asked in CBSE sample papers
EXPECTED
BEHAVIORAL OUTCOME OF THE TOPIC
After
the rigorous practice and successful completion of the topic pupils able to
Ø Recall the concept learnt in the
previous years
Ø Understand the different methods to
solve problems of Coordinate Geometry.
Ø Apply the knowledge to solve problems
of daily life situation as and when they come across.
Ø To link the concept to higher class
problems
Ø To develop the spirit of solving the problems
based on the HOTS.
Ø Analyze the critical situation and
take decision to solve.
METHODS OF EVALUATION FOR THE TOPIC COVERED
To know the understanding level of
the topic taught one among the fallowing method can be adopted
v Through the interaction in the class
room situation.
v Through oral test.
v Through class test
v Through assignments
v Quiz question.
v Through project
v Home work,
STATUS OF THE COMPLETION OF THE
PREVIOUS PORTION
· Completed
· Not completed
SUB TEACHER VICE- PRINCIPAL PRINCIPAL.
Subscribe to:
Posts (Atom)