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Lesson Plan

Find the greatest common factor and least common multiple of two numbers by using Euclid's Algorithm and area models

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.MP7 http://corestandards.org/Math/Practice/MP7
teaches Common Core State Standards CCSS.Math.Practice.MP8 http://corestandards.org/Math/Practice/MP8
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Big Ideas: Euclid's Algorithm is an efficient and effective way to find the greatest common factor of two numbers. Area models can aid conceptual understanding of Euclid's Algorithm and finding the least common multiple of two numbers. 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 asked to solve a series of questions involving a quilting project. The questions can be answered by finding the greatest common factor and least common multiple of two numbers. Any method is encouraged when finding the greatest common factor and least common multiple, but the debrief focuses on developing conceptual understanding of Euclid's Algorithm for finding the least common factor using area models. The debrief also demonstrates how area models can be used to find the least common multiple. Vocabulary: factor, multiple, greatest common factor, least common multiple, Euclid's Algorithm, area model
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