PERMUTATIONS & COMBINATIONS Rank of the word or Dictionary order of the English words like COMPUTER, COLLEGE, SUCCESS, SOCCER, RAIN, FATHER, etc. Dictionary Rank of a Word Method of finding the Rank (Dictionary Order) of the word “R A I N” Given word: R A I N Total letters = 4 Letters in alphabetical order: A, I, N, R No. of words formed starting with A = 3! = 6 No. of words formed starting with I = 3! = 6 No. of words formed starting with N = 3! = 6 After N there is R which is required R ----- Required A ---- Required I ---- Required N ---- Required RAIN ----- 1 word RANK OF THE WORD “R A I N” A….. = 3! = 6 I……. = 3! = 6 N….. = 3! = 6 R…A…I…N = 1 word 6 6 6 1 TOTAL 19 Rank of “R A I N” is 19 Method of finding the Rank (Dictionary Order) of the word “F A T H E R” Given word is : "F A T H E R" In alphabetical order: A, E, F, H, R, T Words beginni
Lesson Plan Math Class XII Ch-6 | Application of Derivatives
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E- LESSON PLAN (SUBJECT MATHEMATICS) CLASS 10+2
Lesson Plan, Class XII Subject Mathematics, chapter 6, Applications of Derivatives , for Mathematics Teacher. Effective way of Teaching Mathematics. Top planning by the teacher for effective teaching in the class. E lesson planning for mathematics.
Lesson Plan, Class XII Subject Mathematics, chapter 6, Applications of Derivatives , for Mathematics Teacher. Effective way of Teaching Mathematics. Top planning by the teacher for effective teaching in the class. E lesson planning for mathematics.
Board – CBSE |
CLASS –XII |
SUBJECT- MATHEMATICS |
CHAPTER 6 :- Application of
derivative |
TOPIC:- Chapter : 6 : Applications of derivatives
DURATION:-
This chapter is divided into 11 modules and is completed in 25 class meetings.
PRE- REQUISITE KNOWLEDGE:-
TEACHING
AIDS:-
Green Board, Chalk, Duster, Charts, smart board, projector, laptop etc.
METHODOLOGY:- Lecture method
OBJECTIVES:-
- Rate of change of bodies.
- Increasing and decreasing functions.
- Tangents and Normals.
- Use of derivatives in approximation.
- Maxima and minima using first and second derivative test.
- Word problems which involves maxima and minima.
PROCEDURE :-
Start the session by asking the questions related to the trigonometry, inverse trigonometry and formulas of derivatives. Now introduce the topic application of derivatives step by step as follows.
EXPECTED
OUTCOMES:-
- After studying this lesson students should know the
- Concept rate of change of quantities,
- Method of finding slopes of tangent and normal,
- Method of finding the equations of slopes and tangent,
- Method of finding the approximate value of a number.
- Students should be able to find the maximum and minimum value of the function by using first and second derivative test.
STUDENTS
DELIVERABLES:-
- Review questions given by the teacher.
- Students should prepare the presentation in groups on different topics like rate of change of quantities, tangents and normals, increasing, decreasing , maxima and minima of a function.
- Solve NCERT problems with examples.
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.
THANKS FOR YOUR VISIT
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