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

DAV Resource Material for class 10

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  [CLICK HERE FOR COMPLETE  EXPLANATION]
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.

MIND MAP 

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.

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