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Lesson Plan, Class XI (Ch-13) | Limits & Derivatives
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Board – CBSE |
CLASS –XI |
SUBJECT- MATHEMATICS |
CHAPTER 13 : LIMITS AND DERIVATIVES |
Green Board, Chalk, Duster, Charts, smart board, projector, laptop etc.
METHODOLOGY:- Lecture method and Demonstration
OBJECTIVES:-
- Introduction of derivatives as it is the rate of change of distance functions.
- Introduction of the derivatives geometrically.
- Intuitive idea of limits.
- Limits of polynomial, rational, trigonometric, logarithmic and exponential functions.
- Definition of derivatives relate it to scope of tangent of the curve.
- Derivative of sum, difference, product and quotient of functions.
- Derivatives of polynomial and trigonometric functions.
S. No. |
Topic |
1 |
Simple introduction of
limits and derivatives, definition of limits and graphical meaning of the
limits. |
2 |
Existence of limits,
Left hand limit and right hand limit, Algebra of limits. |
3 |
Limits of polynomial
and rational functions, limits of trigonometric functions . |
4 |
All important formulas
related to the limits and their applications in different problems. |
5 |
Derivatives, introduction
and meaning with meaning of derivatives, method of finding the derivative by
first principal. |
6 |
Algebra (sum and
difference ) of derivatives of functions, derivative of polynomial and
trigonometric functions. Product rule and quotient rule of polynomials. |
7 |
Derivative of
logarithmic and exponential functions with all formulas of derivatives and
their use in different problems. |
- After studying this lesson student should know
- The term limits and derivatives.
- Students should know the different method of finding the limits, left hand limit , right hand limit,
- Method of finding the derivative by first principal,
- Product rule and quotient rule of the derivatives and different methods of finding the derivatives.
- Review questions given by the teacher.
- Students should prepare the presentation individually or in groups on the formulas of limits and derivatives.
- Solve NCERT problems with examples.
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