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 12 (Ch2) For Mathematics Teacher
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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.
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 2 : Inverse
Trigonometric Functions 
TOPIC:
Chapter 2
Inverse Trigonometric Functions.
DURATION:
This chapter
is divided into 5 modules and is completed in 10 class meetings.
PRE
REQUISITE KNOWLEDGE:
TEACHING
AIDS:
Green Board,
Chalk, Duster, Charts, smart board,
projector, laptop etc.
METHODOLOGY: Lecture method
OBJECTIVES:
 All formulas of trigonometric functions.
 Basic concepts related to the Inverse Trigonometric functions.
 Domain and range of trigonometric functions.
 Graphs of inverse trigonometric functions.
 Properties of inverse trigonometric functions.
 Some other important results without proof.
PROCEDURE
:
Start the
session by checking their previous knowledge, by asking the questions related
to the trigonometry class 10^{th} and 10+1 . Now introduce the concept
of trigonometry as follows.
Topic 

1 
Introduction of inverse
trigonometric functions and discussion on all formulas
of trigonometry class 10^{th} and
10+1 
2 
Explanation of all basic concepts
of inverse trigonometric functions, with simple problems on the topic. 
3 
Domain and range of inverse
trigonometric functions and explanation with graphs. 
4 
Properties of inverse
trigonometric functions with detail. 
5 
Problems based on properties of
inverse trigonometric functions. 
EXPECTED
OUTCOMES:
After studying
this lesson students should know
 all formulas of trigonometry
 all formulas of inverse trigonometric functions.
 Students should be able to apply the different formulas in the problems
 students should understand properties of inverse trigonometric functions.
STUDENTS
DELIVERABLES:
Review questions given by the teacher.
 Students should make the presentation on the formulas of inverse trigonometric functions.
 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.
 Retest(s) will be conducted on the basis of the performance of the students in the test.
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