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Lesson Plan Math Class 12 (Ch 7)  Integration
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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.
 Knowledge of trigonometry class 10+1,
 Inverse trigonometry Chapter 2 class 10+2,
 Differentiation chapter 5 class 10+2
 Integration as inverse process of differentiation.
 Integration of different functions by substitution method.
 Integration of different functions by partial fractions.
 Integration of different functions by by parts (product rule).
 Integration of the Special types of functions.
 Definite integrals as a limit of a sum.
 Fundamental Theorem of Calculus (without proof).
 Basic properties of definite integrals.
 Evaluation of definite integrals.
S. No. 
Topic [Explanation: Indefinite Integral ]

1 
Introduction First of all teacher will explain the concept that Integration is the reverse process of differentiation by giving some examples Now teacher will explain the important symbols, terms and
phrases related with the integration and their meanings. 
2 
Types of Integrals: Integrals are of two types Indefinite Integral and Definite Integral. Explain
the relationship(or comparison) between the differentiation and
integration. Also help the students in writing all the 
3 
Geometrical Meaning of Integration Now teacher will explain the geometric meaning of
integration and some properties of indefinite integrals. 
4 
Different Methods of Integration Explain different methods of
integration like substitution method, Partial Fraction, Integration by parts.
Start integration of different functions by substitution method. 
5 
Now teacher will introduce the method of integration by using trigonometric identities, integration of
some particular functions. 
6 
Integration of different functions by partial fractions. Explain the different forms of rational functions and their form in partial fraction and implementation of all these forms in the problems.

7 
Now explain the topic Integration of different functions by parts or product rule in integration. Also
explain the ILATE rule for selecting first function and second function for
the students. Method of selecting the first function and second function I...... Inverse Trigonometric Functions L..... Logarithmic Function A..... Algebraic Function(Polynomial Function T......Trigonometric Function E...... Exponential Function 
8 
Integration of the functions of the
following types. Explain
the topic by using related formulas 
9 
Now
introduce the topic Definite integrals. Explain the definite integral as a
limit of a sum and explain its geometric meaning to the students. 
10 
Explain
both Fundamental Theorem of Calculus (without proof). Theorem 2 : Let f be a
continuous function on the closed interval [a , b] and F be the anti
derivative of f. Help
the students in the implementation of this topic in different problems. Also
explain the method of Integration by substitution method. 
11 
Now teacher will explain the Basic properties of definite integrals in details and
help the students in the implementation of these properties in different
problems. PROPERTIES OF DEFINITE INTEGRAL ⇒ Integration is independent of change of variable. , where a < c < b (OR) , if f(ax) = f(x) (OR) , if f (2ax) = f(x) (OR) , if f(2ax) = f(x) , If f(x) is an even function (OR) , If f(x) is an odd function Even function: If f(x) = f(x) then, function f(x) is called even function. Odd Function: If f(x) =  f(x) then, function f(x) is called odd function. 
 the integration is the inverse process of differentiation.
 Students should knows the substitution method of finding the integration.
 Students should knows the by parts method of finding the integration.
 Students should knows the Partial fraction method of integration.
 integration as the limit of a sum
 Students should knows the properties of definite integral and the evaluation of the definite integrals.
 Review questions given by the teacher.
 Students should prepare the presentation in groups either on the formula's of Indefinite Integrals or on Definite Integrals.
 Solve NCERT problems with examples.
 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.
 Retest(s) will
be conducted on the basis of the performance of the students in the test.
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A very good former of lesson plan
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