Lesson plan

Find the greatest common factor and least common multiple of two or more numbers by using lists and Venn diagrams

teaches Common Core State Standards CCSS.Math.Content.6.NS.B.4 http://corestandards.org/Math/Content/6/NS/B/4
teaches Common Core State Standards CCSS.Math.Practice.MP2 http://corestandards.org/Math/Practice/MP2
teaches Common Core State Standards CCSS.Math.Practice.MP5 http://corestandards.org/Math/Practice/MP5

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Big Ideas: Numbers have a unique sequence of factors and multiples. Listing the factors and multiples of numbers is an effective way to find the greatest common factor or the least common multiple. This lesson builds on students' work in fourth grade finding factor pairs for whole numbers and determining whether a whole number is a multiple of another whole number. The purpose of this standard is for students to be able to find the greatest common factor of any number in the range of 1-100 and find the least common multiple of numbers up to 12. This builds towards students being able to generate equivalent expressions using factors in 6th grade which will prepare them for work with expressions and equations in later grades. In this task, students are given two situations. In the first situation Dr. Orion is trying to calculate the greatest amount of researchers he should hire to study 60 stars and 45 planets. In the second situation, the students are asked to find when the next planetary conjunction will occur of two distant planets one of which has a 4-Earth year rotation and the other has a 9-Earth year rotation. The students should be encouraged to use any strategy to solve the problems. However, the focus of the debrief is using lists and Venn diagrams to organize numbers in order to find the greatest common factor and the least common multiple. Vocabulary: factor, multiple, greatest common factor, least common multiple