Lesson Lesson Invention Of Finding H Cf Of 3 Numbers, Upward To Ii Digits, Using Segmentation Method Mathematics Assort V

Lesson Plan of Finding H CF of Three Numbers, upwards to 2 digits, Using Division Method

Mathematics Grade V

Students’ learning Outcomes

·         Find H CF of iii numbers, upwards to 2 digits, using partition method.

Information for Teacher

·         There are many methods of finding H CF of 2 or to a greater extent than numbers, e.g. through prime factorization or through partition etc.

·         If large numbers are given so it is difficult to discover all the mutual prime factors, inwards such situation, the H CF of these numbers tin live works life past times using division.

·         There are 2 methods of partition to discover H CF, i past times continuous partition procedure as well as 2nd is ladder method

·         In continuous partition process, from 2 given numbers, whatever i is taken every bit divisor as well as other is every bit dividend, as well as subsequently division, similar a shot ease is taken every bit divisor as well as the showtime divisor is taken every bit dividend as well as nosotros repeat partition process. The procedure hold acquire out along until nosotros acquire the ease ‘0’ hence the final non naught divisor is called G. C. D. or H CF

·         If nosotros conduct hold to discover H CF of iii numbers through continuous partition procedure so showtime nosotros discover the H CF of whatever 2 numbers according to the inwards a higher house method., so split tertiary let on amongst this H CF until nosotros acquire the ease ‘0’ , hence the final non naught divisor is our required H CF

·         Find H CF of 12, 45 as well as 21 through partition (continuous partition method)

·         Find the H CF of iii numbers through partition (ladder method)

·         In this method nosotros write all numbers together as well as split solely past times prime numbers, nosotros select that prime let on which divides all the given numbers exactly.

·         Tell them that inwards this procedure nosotros continuous partition till all the numbers are divisible past times unmarried prime let on as well as so halt dividing further, hence the production of all prime divisions is called H CF

·         We volition purpose the same representative which given inwards a higher house to demonstrate that it doesn’t affair what method yous purpose as well as the reply ever remains same.

·         Find H CF of 12, 45 as well as 21 through partition (Ladder method)

·         Because these iii numbers can’t farther split past times unmarried prime number, so H CF of these numbers is 3.

·         During educational activity the lesson, instructor should delineate organisation amongst text book, when as well as where required

Material / Resources

Board, marker/chalk, duster, textbook

Worm upwards activeness

·         Invite whatever educatee on board as well as enquire to do prime factorization of 35, xl as well as 20.

·         Invite whatever educatee on board as well as enquire to him to position mutual factors.

·         Call to a greater extent than or less other educatee as well as enquire him to discover H CF. Common constituent = five i.e. H CF=5

·         As at that spot is solely i mutual constituent inwards the given numbers, thus it is H CF

·         Repeat this activeness amongst unlike questions as well as unlike students.

·         Ask students:

o   What is divisor?

(Expected response: a let on past times which to a greater extent than or less other let on is to live divided)

o   What is dividend?

(Expected response: a let on to live divided past times to a greater extent than or less other number)

o   What is quotient?

(Expected response: a final result obtained past times dividing i quantity past times another)

·         Solve whatever partition enquiry on board as well as enquire students to position divisor, dividend, ease as well as quotient.

Development

Activity 1

·         Write few two-digit numbers questions on board as well as enquire students to solve on copies.

·         When all students conduct hold solved the questions, write their answers on board.

·         Guide the students inwards solving questions.

·         Inform the students that today nosotros volition acquire the novel method of finding H CF, i.e. H CF past times using partition method.

·         There are 2 methods of partition to discover H CF, i past times continuous partition procedure as well as 2nd is Ladder Method

Activity 2

·         Ask students to split 55 past times xl as well as state the remainder?

·         Now write the enquiry on board as well as discover remainder.

·         Tell the students, inwards fellowship to discover the H CF of these 2 numbers through division, similar a shot nosotros volition hold the divisor within as well as split past times remainder.

·         Solve the enquiry on board along amongst explanation.

·         We continuous the procedure until the ease is ‘0’.

·         Tell the students that nosotros discover the H CF of these 2 numbers past times continuous partition process.

·         In this process, the final non naught divisor is called G.C.D.  Or H CF.

·         Give students few questions for practice.

·         Guide the students inwards solving questions.

Activity 3

·         Write 20, xl as well as 35 on board.

·         Ask students to discover H CF of whatever 2 of these numbers.

·         Now enquire them to split the tertiary let on past times this H CF until yous acquire the ease ‘0’.

·         Collect the reply from students.

·         Conclude that subsequently partition amongst tertiary number, the final non naught divisor is our required H CF

·         Now solve this enquiry on board, so that all students empathise this concept.

·         Tell the students, similar a shot nosotros acquire the method of finding H CF of iii two-digit numbers past times partition method.

·         For practise reach such type of questions to students inwards groups.

Activity 4

·         Tell the students, similar a shot nosotros volition acquire to a greater extent than or less other method of partition to discover H CF this is called Ladder Method.

·         In this method nosotros write all numbers together as well as split solely past times prime numbers, nosotros select that prime let on which divides all the given numbers exactly.

·         Tell the students, how to discover the H CF of 32, 24, as well as xl according to this method.

·         Tell them that inwards this procedure nosotros acquire out along partition till all the numbers are divisible past times unmarried prime number, as well as so halt dividing further. Hence the production of all prime divisors is called H CF i.e.

 2 x 2 x 2 = 8 H CF = 8

·         Now enquire the students, similar a shot inwards groups discover H CF past times this method, of those enquiry which were solved past times continuous partition procedure so they know that whatever the method they use, the reply remains same.

·         Allocate fourth dimension to solve questions.

·         Guide the students inwards their work.

Activity 3

·         Once yous run across that they are comfortable amongst finding HCF through partition inwards pairs, assign them private questions.

·         For representative assign enquiry no. 1 to educatee one, enquiry no. 2 to 2nd educatee as well as so on.

·         It depends upon the let on of questions.

·         You may restart from enquiry let on 1, 2, 3, etc. when all questions finish.

·         Allocate fourth dimension fifteen minutes

·         Now enquire students to portion their operate amongst each other as well as right mistakes.

Sum upwards / Conclusion

·         There are many methods of finding H CF of 2 or to a greater extent than numbers, e.g. through prime factorization or through partition etc.

·         If large let on is given so it is difficult to discover all the mutual prime factors, inwards such situation, the H CF of these numbers tin live works life past times using division.

·         There are 2 method of partition to discover H CF i past times continuous partition to discover H CF, i past times continues partition procedure as well as 2nd is Ladder Method

·         Explain both methods of partition to discover H CF, past times solving few questions on board.

·         Tell the students, yous should discover the H CF past times the method given inwards the enquiry e.g. past times using prime factorization or past times using division.

·         If ‘find H CF’ is written inwards the enquiry than yous tin discover H CF past times whatever method only purpose whatever i method inwards i question?

Assessment

·         Write on board; discover H CF of 9, 65, as well as 39.

·         Now depict next tabular array on board.

By using prime factorization	By continuous division	By using Ladder Method

·         Now enquire iii students to solve this enquiry on board past times all iii methods.

·         At a fourth dimension at that spot volition live iii students attempting enquiry on the board.

·         Students detect that, whatever the method purpose to solve the question, the reply remains same.

·         After this write novel enquiry as well as invite iii novel students.

·         Invite such students on board who are less participant inwards the class.

·         At the terminate appreciate students through clapping.

Follow up

·         Ask students to write whatever iii two-digit numbers as well as discover H CF through division.

·         Ask students to brand iii such questions as well as discover H CF through both methods of division.

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