Students come to sixth grade with an understanding of factors and multiples. It is in 6th grade that they will expand their understanding to common factors and common multiples between two or more numbers. They will apply this understanding and use the distributive property to express a sum of two
whole numbers 1-100 with a common factor as a multiple of a sum of two whole numbers with no common factor. At each grade level in the standards, one or two fluencies are expected. For sixth graders it is multi-digit whole number division and multi-digit decimal operations. Fluent in the standards means “fast and accurate”. There are three parts to this unit: Dividing fractions by fractions; Computing fluency with multi-digit numbers and decimals; and Factors and multiples (including using the distributive property to express a sum of two whole numbers 1-100 with a common factor as a multiple of a sum of two whole numbers with no common factor.) Students use the meaning of fractions, the meanings of multiplication and division, and the relationship between multiplication and division to understand and explain why the procedures for dividing fractions make sense. There are many videos at LearnZillion that help illustrate using visual models to divide. http://learnzillion.com/lessonsets/13-divide-fractions-by-fractions Also, this site explains it well too! http://www.learner.org/courses/learningmath/number/session9/part_a/area_division.html The students only have one problem to do tonight as this is a very difficult concept for many of them to visualize. Check out the sites above if you feel they need more practice tonight.
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April 2015
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