SUBJECT: MATHEMATICS CLASS: X SECTION: (A+B)
SYLLABUS TO BE COVERED FROM:
1/07/2018 TO 15/07/2018
TOPIC: QUADRATIC EQUATIONS
CONTENT: The aim of the topic is to
develop the fallowing concept about the
quadratic equation.
·
Introduction
of quadratic equation based on the concept learnt in the previous year and bridging the gap if necessary
·
Defining
the quadratic equation.
·
Factorization
of the quadratic equation
·
Solution
of the quadratic equation by factorization method.
·
Solution
of the quadratic equation by completing the square
·
Solution
of the quadratic equation by formula method.
·
Testing
the nature of roots of the quadratic equation.
·
Solution
by graphical method.
·
Words
problems to be used in day to day life situation.
INSTRUCTIONAL OBJECTIVES:
pupils will be made to know about
·
New terms found in the topic.
·
Concept
of the quadratic equation and its standard form.
·
Testing
the nature of equation by discriminant method.
·
Different
methods of finding the roots of the quadratic equation.
·
Framing
the quadratic equation using the given statement.
·
How
to draw the graph of quadratic equation and hence to find its zeroes.
DEVOLOPEMENT OF LESSON:
·
Slandered
form of quadratic equation and
its importance for why it is that a cannot be equal to zero .
·
Pure
quadratic equation.
·
Adfected quadratic equation
·
Solution
by splitting the middle term
·
Solution by completing the square method
·
Solution
of quadratic equation by formula method/Discriminant method
·
Solution
by graphical method
·
Formation of quadratic equation when
zeroes are given
·
Solution for words problems
TEACHING METHODOLOGY:
Method of induction (To proving the formulas /Analytical method(to check the adequacy of
data for solving the problems ) /Heuristic method(to prepare power point
presentation of concepts)/deductive method(To solve problems )/Demonstration
method/Lecture method for recapitulation
TEACHING AIDS TO BE USED: To reinforce the concept for ever in
the pupil’s mind the fallowing teaching aids can used.
·
Model
of quadratic equation solver will be
used to find the roots of the given quadratic equation when coefficient of x2
is unity.
·
Identifying
roots of the quadratic equation by curve sketching.
·
Studying
the parabolic curve and finding the zeroes.
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/curve sketching
etc so that to use the models to get zeroes of the quadratic equation found in
the questionnaire, let them discuss and solve the problems pertaining to
quadratic equation. 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 zeroes of given quadratic equation 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 zeroes of the given quadratic equation by sketching the curve and
straight line..
·
Reading
the zeroes of the given quadratic equation by inspecting the curve.
·
To
prepare the playing cards of squares and rectangle of given quadratic equation
and arrange them to fit them so as to obtain factors and hence to get zeroes.
·
Verify
the roots of quadratic equation by experimental method and also by formula
method.
·
Checking
the nature of given sets of quadratic equation by discriminant method
PROJECT TO BE INITIATED
Each group of pupils was instructed to generate
problems of quadratic equation and hence find the solution by arranging the
cards so prepared using the concept of squares and rectangles, then to submit
the pack of cards so prepared to mathematic laboratory. Or finding the nature
of existence of roots of quadratic polynomial by sketching curves.
Or
Construction of working models to find the roots of
quadratic equation and submit the same to mathematics laboratory.
Or
Each group of will directed to prepare power point
presentation of particular method of finding zeroes
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 boock
·
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 types different
methods to solve quadratic equation.
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,
BOOKS/WEBSITE
REFERED: 1.NCERT text book class X
2. Mathematics class X by RD
Sharma
3.Mathematics class X by Dubey
and Tomar
4.Mathematics class X by R S
Agaraval
*****************
END********************
SUB TEACHER VICE- PRINCIPAL PRINCIPAL.
No comments:
Post a Comment