Lesson Plan Math Class 12 (Ch-5) Continuity & Differentiability

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.

CHAPTER-5 CONTINUITY & DIFFERENTIABILITY

Rmb dav centnary public school Nawanshahr
NAME OF THE TEACHER				DINESH KUMAR
CLASS	10+2	CHAPTER	05	SUBJECT	MATHEMATICS
TOPIC	CONTINUITY & DIFFERENTIABILITY			DURATION : 20 Class Meetings

PRE- REQUISITE KNOWLEDGE:-

Knowledge of Trigonometry class 10+1, 

Knowledge Inverse Trigonometric Functions class 10+2,

Knowledge of Limits and continuity class 10+1

TEACHING AIDS:- 

Green Board, Chalk,  Duster, Charts, smart board, projector, laptop etc.

METHODOLOGY:-   Lecture method

LEARNING 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.

RESOURCES

NCERT Text Book,
NCERT Exemplar Book of mathematics,

Resource Material : 

Worksheets , E-content, Basics and formulas from  (cbsemathematics.com)

KEY WORDS

Continuity : Continuous function, Discontinuous function, Left-hand limit (LHL), Right-hand limit (RHL), Limit of a function, Continuity at a point, Algebra of continuous functions

Differentiability : Derivative, Differentiable function, Differentiability at a point, Differentiability in an interval

Derivatives of Composite and Implicit Functions : Chain rule, Implicit differentiation, Logarithmic differentiation

Second Order Derivative : Second derivative (d²y/dx²) Notation: f′′(x),y′′f''(x), y''f′′(x),y′′

CONTENT OF THE TOPIC

• Continuity of different types of functions.
• Differentiability.
• Chain Rule, 
• Implicit differentiation, 
• logarithmic differentiation.
• Derivative of inverse trigonometric functions.
• Second order derivative.

LEARNING ACTIVITIES:

INTRODUCTORY ACTIVITY

EXPERIENTIAL ACTIVITY

ART INTEGRATED ACTIVITY

PROCEDURE :-

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	Topic [Complete Explanation]
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.

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:-

Students can extend their learning in Mathematics through the RESOURCE CENTRE.  Students can also find many interesting topics on mathematics at cbsemathematics.com

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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