**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 7 :- Integrals |

__TOPIC:-__

Chapter : 7 : Integrals

__DURATION:-__

__PRE- REQUISITE KNOWLEDGE:-__

__TEACHING AIDS:-__

__METHODOLOGY:-__Lecture method

__OBJECTIVES:-__

- 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.

__PROCEDURE :-__

S. No. | Topic |

1 | Introduction and explanation of the concept integration as inverse process of differentiation by giving some examples. Explain important symbols, terms and phrases related with the integration and their meanings. |

2 | Explain the relationship(or comparison) between the differentiation and integration. Also help the students in writing all the |

3 | Explain the geometric meaning of integration and some properties of indefinite integrals. |

4 | Explain different methods of integration like substitution method, Partial Fraction, Integration by parts. Start integration of different functions by substitution method. |

5 | Explain 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. |

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 explain the Basic properties of definite integrals in details and help the students in the implementation of these properties in different problems. |

__EXPECTED OUTCOMES:-__

- 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.

**STUDENTS DELIVER ABLES:-**- 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.

__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.