Dictionary Rank of a Word | Permutations & Combinations

 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 (Ch-2) For Mathematics Teacher



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.

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:-


All formulas of trigonometry  10th standard and  10+1 standard.

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 10th and 10+1 . Now introduce the concept of trigonometry as follows.

Topic

[Complete Explanation ]

1

Introduction of inverse trigonometric functions and discussion on all formulas of trigonometry class 10th 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.
  • Re-test(s) will be conducted on the basis of the performance of the students in the test.

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