E- LESSON PLAN SUBJECT MATHEMATICS CLASS 10+2
Lesson Plan Class 12th Subject Mathematics for Mathematics Teacher. Effective way of Teaching Mathematics. Top planning by the teacher for effective teaching in the class.
Board – CBSE
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CLASS –XII
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SUBJECT- MATHEMATICS
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CHAPTER
5 :- Continuity and Differentiability
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TOPIC:-
Chapter : 5 : Continuity and Differentiability
DURATION:-
This chapter
is divided into ten modules and is completed in 20 class meetings.
PRE-
REQUISITE KNOWLEDGE:-
TEACHING
AIDS:-
Green Board,
Chalk, Duster, Charts, smart board, projector,
laptop etc.
METHODOLOGY:- Lecture method
OBJECTIVES:-
- Continuity and differentiability.
- Derivative of composition functions and chain rule.
- Derivatives of inverse trigonometric functions and
implicit functions.
- Concept of exponential and logarithmic functions.
- Derivative of exponential and logarithmic functions.
- Derivative of the functions expressed in parametric
forms.
- Second order derivatives.
- Roll’s and mean value theorem (with proof) and their
geometric interpretation.
Start the
session by asking the questions related to the trigonometry, inverse
trigonometry and limits and continuity. Now introduce the topic continuity and
differentiability step by step as follows.
S.N
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Topic
[Complete Explanation]
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1
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Introduction
of limits and continuity, left hand limit and right hand limit with some
practical problems.
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2
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Introduction
of differentiability, left hand and right hand differentiability, with some
practical problems.
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3
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Basic
Formulas of differentiation, differentiation of composite functions and
chain rule.
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4
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Differentiation
of inverse trigonometric functions.
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5
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Differentiation
of implicit functions.
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6
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Concept
of exponential and logarithmic functions.
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7
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Derivatives
of exponential and logarithmic functions.
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8
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Derivatives
of the functions expressed in parametric forms.
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9
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Concept
of second order derivatives.
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10
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Roll’s
theorem and Lagrange’s Mean Value Theorem(with proof) and their geometric
interpretation.
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EXPECTED
OUTCOMES:-
After
studying this lesson students should know the
- concept of limits, continuity and
differentiability.
- Students should learn all formulas of differentiations and
should know the applicability of them in different problems.
- Students should be
able to find the derivatives of composite functions, inverse trigonometric
functions, implicit functions, exponential functions and logarithmic functions.
- Students should know the second order derivatives and the applicability of
Roll’s and mean value theorem.
STUDENTS
DELIVERABLES:-
Review questions given by the teacher.
- Students should prepare the presentation on the formulas of derivatives.
- Solve
NCERT problems with examples,
- Solve assignment given by the teacher.
EXTENDED LEARNING:-
ASSESSMENT
TECHNIQUES:-- Assignment sheet will be given as home work at the end of the topic.
- Separate sheets which will include questions of logical thinking and Higher order thinking skills will be given to the above average students.
- Class Test , Oral Test , worksheet and Assignments. can be made the part of assessment.
- Re-test(s) will be conducted on the basis of the performance of the students in the test.
Lesson Plan For CBSE Class 12 (Chapter 2) For Mathematics Teacher
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