# PowerPointPresentation-GCFandLCMProblemSolving：PowerPoint演示文稿-GCF和LCM解决问题.ppt

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1、GCF and LCM Problem Solving,How can you tell if a word problem requires you to use Greatest Common Factor or Least Common Multiple to solve?,GCF and LCMProblem Solving,First, use the KWL method for approaching all problems K: What do you know? W: What do you want to know L: What did you learn?,GCF P

2、roblems,What is the question asking us?Do we have to split things into smaller sections?Are we trying to figure out how many people we can invite?Are we trying to arrange something into rows or groups?,GCF Example: Applying what we have learned,Samantha has two pieces of cloth. One piece is 72 inche

3、s wide and the other piece is 90 inches wide. She wants to cut both pieces into strips of equal width that are as wide as possible. How wide should she cut the strips?,Samantha has two pieces of cloth. One piece is 72 inches wide and the other piece is 90 inches wide. She wants to cut both pieces in

4、to strips of equal width that are as wide as possible. How wide should she cut the strips?,K: The pieces of cloth are 72 and 90 inches wide.W: How wide should she cut the strips so that they are the largest possible equal lengths.,L: This problem can be solved using Greatest Common Factor because we

5、 are cutting or “dividing” the strips of cloth into smaller pieces (factor) of 72 and 90.Find the GCF of 72 and 90,Samantha has two pieces of cloth. One piece is 72 inches wide and the other piece is 90 inches wide. She wants to cut both pieces into strips of equal width that are as wide as possible

6、. How wide should she cut the strips?,GCF Word Problem Solution,2 l 72_903 l 36_453 l 12_15 4 5,GCF = 2 x 3 x 3 = 18Samantha should cut each piece to be 18 inches wide,LCM Problems,What is the question asking us?Do we have an event that is or will be repeating over and over?Will we have to purchase

7、or get multiple items in order to have enough?Are we trying to figure out when something will happen again at the same time?,LCM Example: Applying what we have learned,Ben exercises every 12 days and Isabel every 8 days. Ben and Isabel both exercised today. How many days will it be until they exerci

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