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Module-2-Math-2nd-Sem.docx - PBEED008 TEACHING MATH IN THE...

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PBEED008TEACHING MATH INTHE INTERMEDIATEGRADEMODULE 2NUMBER THEORYPrepared by:Lilia D. Antonio, Ph. D.
InstructorMODULE 2NUMBER THEORYPrepared by: Lilia D. Antonio, Ph. DIntroductionThis module introduces the foundation inwhich the “house of numbers”called the number theory is built. In times you need to divide or multiply numbersquickly you can use the divisibility rules. This process can help you easilyidentify whether the numbers are exactly divisible by a certain number withoutdoing the actual division process.In this module you will study prime and composite numbers, divisibilityrules, greatest common factor and least common multiple as contents of teachingMathematics in the intermediate grade which you need to master as a futureelementary school teacher.You are expected to finish studying this module within two weeks.Learning OutcomesAt the end of this module, the students are expected to:1.Differentiate prime and composite numbers;2.Write a given numbers as a product of its prime factors;3.Identify the divisibility rules for one- digit numbers and selected two digitnumbers;4.Find the common factors and the greatest common factor(GCF) of two tothree numbers using the following methods: listing, prime factorization andcontinuous division;5.Find the common multiples and the least common multiple(LCM) of two ormore numbers using the following methods: listing, prime factorization andcontinuous division;6.Solve word problem involving prime and composite numbers;7.Solve routine and non routine problems involving divisibilityrules;8.Solve real – life problems involving the greatest common factorsand leastcommon multiple of 2-3 given numbers.
TOPIC OUTLINE1.Prime and composite number2.Divisibility rules3.Greatest common factors4.Least common multipleA.PRIME AND COMPOSITE NUMBERSSamuel writes the following numbers on a piece of paper: 48, 57, 37, 91 and 76.He then asks Dave to identify the number which does not belong to the group. Davegives the correct answer. What is his answer?What do you think is the basis of Dave in identifying the number which is differentfrom the rest? You consider some possible ways:1.All five numbers have two digits so it cannot be used as basis.2.Two of the numbers are even while three are odd, so again, this classificationdoes not make any one number different.How about finding all the factors of each number?48 – 1,2,3,4,6,8,12,16,24,4857 – 1,3,19,5737 – 1,3791 – 1,7,13,9176 – 1,2,4,19,38,76Observe that the number 37 has only two factors, 1 and 37 (the number itself)while each of the rest has other factors aside from 1 and itself.A number is calledPrimeif it has only two factors. A few examples of primenumbers are 2, 13, 29 and 83.On the other hand, numbers with more than two factors are calledComposite.

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Term
Fall
Professor
NoProfessor
Tags
Number Theory, Prime number, Divisor, continuous division

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