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Lesson Plan Math Class 12 (Ch-5) Continuity & Differentiability
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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 |
CLASS –XII |
SUBJECT- MATHEMATICS |
CHAPTER
5 :- Continuity and Differentiability |
- 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.
S.N |
Topic |
1 |
Introduction
of limits and continuity, left hand limit and right hand limit with some
practical problems. |
2 |
Introduction
of differentiability, left hand and right hand differentiability, with some
practical problems. |
3 |
Basic
Formulas of differentiation, differentiation of composite functions and
chain rule. |
4 |
Differentiation
of inverse trigonometric functions. |
5 |
Differentiation
of implicit functions. |
6 |
Concept
of exponential and logarithmic functions. |
7 |
Derivatives
of exponential and logarithmic functions. |
8 |
Derivatives
of the functions expressed in parametric forms. |
9 |
Concept
of second order derivatives. |
10 |
Roll’s
theorem and Lagrange’s Mean Value Theorem(with proof) and their geometric
interpretation. |
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 should prepare the presentation on the formulas of derivatives.
- Solve NCERT problems with examples,
- Solve assignment given by the teacher.
- 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.
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