### 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 10 (Ch-1) | Real Numbers

E- LESSON PLAN   SUBJECT MATHEMATICS    CLASS 10
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 TEACHER  : SCHOOL : SUBJECT   :   MATHEMATICS CLASS                  :   X  STANDARD BOARD                 :  CBSE LESSON TOPIC / TITLE   :  CHAPTER 1: REAL NUMBERS ESTIMATED DURATION:  This lesson is divided into seven modules and it is completed in seven class meetings.

PRE- REQUISITE KNOWLEDGE:-

Number system of class IX

Method of finding H.C.F. and L.C.M. of class VI and VII

Ability to factorize the numbers (Divisibility Test)

TEACHING AIDS:-

Green Board, Chalk,  Duster, Charts, Models  etc.

TECNOLOGY REQUIRED

Smart Board, Projector, Laptop, Internet

METHODOLOGY:-

Demonstration, Learning by doing and Lecture method

LEARNING OBJECTIVES:-
• Definition of natural number, whole numbers, Integers, rational numbers, irrational numbers, Real numbers, odd numbers, even numbers, prime numbers, co-prime numbers, composite numbers.
• Different types of decimals.
• Rational and irrational decimals.
• To find HCF by using EDA
• To find HCF and LCM of numbers by using FTA.
• Method of proving the given number as  irrational number.
• Explanation of terminating and non terminating decimals.
RESOURCES
NCERT Text book of Mathematics
NCERT Exemplar Text Book
RESOURCE CENTRE at cbsemathematics.com

PROCEDURE  (CONTENT & PRESENTATION)

Begin the session by providing historical and biological details about Euclid. He was a great mathematician, who lived around 300 BC and was popularly known as Euclid of Alexandria. He was also known as the father of the geometry due to his significant contribution to the subject . He wrote treatise consisting of 13 books called elements.
 S.No. PRESENTATION OF THE TOPIC 1 Introduction First of all teacher give complete knowledge of number system to the students. Teacher will explain all the definitions of natural number, whole number, integers, rational numbers, irrational numbers and real numbers.  Teacher will also explain the following: even number, odd number, prime number, composite number, co-prime number and twin prime numbers. For this teacher may complete family of number system through charts or diagrams. 2 Along with the number system teacher will also explain the Decimal System. Different types of decimals, terminating decimals, non-terminating but repeating decimals, non-terminating non-repeating decimals, rational decimals and irrational decimals. 3 Now teacher will introduce the Definitions of Lemma, Algorithm, Euclid’s Division Lemma, and application of Euclid Division Algorithm in some word problems. Euclid's Division Lemma: For given two positive integers a and b there exist unique integers q and r such that a = bq + r ,    where  0 ≤ r < b 4 HCF by using Euclid Division Lemma Explain the Method of finding the HCF by using Euclid’s Division Lemma with two numbers and with three numbers. Also apply this statement in some word problems. 5 Fundamental Theorem of Arithmetic's Now teacher will introduce F.T.A. as follows Definitions of Fundamental Theorem of Arithmetic’s,  Definition of L.C.M and H.C.F.  Method of finding the HCF and L.C.M. by using F.T.A. and verification of the relation  H.C.F. X L.C.M. = Product of two numbers. Method of finding HCF and LCM of more then two terms by using F.T.A. Fundamental Theorem of Arithmetic: Every composite number can be expressed as the product of primes and this factorization is unique irrespective of their order.  L.C.M: Product of all factors with greatest power.  H.C.F: Product of common factors with smallest power. 7 Explain the Method of contradiction to prove that given number is an irrational number. 8 Method of finding rational and irrational decimals   without actual division and method of converting the given rational number into decimal form. Condition of denominator of a Rational Decimal: Denominator can be expressed in the form 2m x 5n

LEARNING OUTCOMES
After studying this lesson, students will be able to explain the

i) Euclid's Division Algorithm (EDA) and HCF by EDA,

ii) Fundamental Theorem of Arithmetic (FTA),

iii)  HCF, LCM by FTA,

iv)  Students should know the method of proving the given number is an irrational number.

v) Students will be able to explain that given number is an irrational number, terminating decimal and non terminating but repeating decimals.

STUDENTS DELIVERABLES:-
• Review questions given by the teacher.
• Students can prepare a Presentation on the topic  “prove that given number is irrational number”.
• Solve N.C.E.R.T. problems with examples,
• Solve assignment of Multiple Choice Questions (MCQ) given by the teacher.
EXTENDED LEARNING:-

Students can extend their learning through the RESOURCE CENTRE and can find more valuable and interesting concepts on mathematics at  cbsemathematics.com

Students can also extend their leaning by watching this topic on video.

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
🙏

1. Very nicely written

2. This comment has been removed by a blog administrator.

3. Very useful sir,but how can we download it sir

4. Very useful for me thank u so much . From Sukma chhattisgarh.

5. Wonderful presentation, please add story telling as pedagogy,AI also

6. Excellent lesson plan.
Can i get a information about inter disciplinary linkages about the above topic.

7. Excellent

8. This comment has been removed by a blog administrator.

9. Well defined and precisely covered all topics