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Portfolio Building Assignment #2.docx - GCD and LCM...

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GCD and LCMKathleen BurtonGrade Level:6th GradeObjective(s):I can find the greatest common divisor and least common multiple of two numbers byusing prime factorization trees.Material needed:Online Factor Tree, math journal, pencil, overheadRelated Common Core Standards:6.NS.B.4: Understand the greatest common factor, understand theleast common multiple, and use the distributive property.a. Find the greatest common factor of two whole numbers less than or equal to 100. b. Find the leastcommon multiple of two whole numbers less than or equal to 12.Input:Tell students the objective and present question: How do you use prime factorization to find theGCD and LCM of two whole numbers? Review with students that a prime number only has two factors 1and itself. Composite numbers have more than 2 factors.Modeling:Using the online manipulatives. Pull up an empty factor tree. Review finding the primefactorization using 36. (3x3x2x2). Teach: Say, “Now we will use what we know about prime factorizationtrees to find the GCD and LCM or two numbers.” Present two numbers to factor: 8 and 36. Continueusing online manipulatives to show the prime factorization of 8. 8=2x2x2, 36=3x3x2x2. On paper throughthe overhead make a venn diagram. On the venn diagram show that 8 is on one side and 36 is on theother. In the 8 section write a 2, on the 36 section write 3 and 3, in the middle write 2 and 2.Say, “I have two two’s in the middle. The middle numbers are my LCM. I multiply these numbers

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Term
Fall
Professor
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Tags
partner, Prime number, Greatest common divisor, Divisor, Integer factorization

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