Maryland College and Career-Ready Standards
MD.MA.6.NS. The Number System (NS)
Apply and extend previous understandings of multiplication and division to divide fractions by fractions.
6.NS.1. Interpret and compute quotients of fractions, and solve word problems involving division of fractions by fractions, e.g., by using visual fraction models and equations to represent the problem. For example, create a story context for (2/3)÷(3/4) and use a visual fraction model to show the quotient; use the relationship between multiplication and division to explain that (2/3)÷(3/4) = 8/9 because 3/4 of 8/9 is 2/3. (In general, (a/b)÷(c/d) = ad/bc. How much chocolate will each person get if 3 people share 1/2 lb. of chocolate equally? How many 3/4-cup servings are in 2/3 of a cup of yogurt? How wide is a rectangular strip of land with length 3/4mi and area 1/2square mi?
6.NS.1.1. Ability to explore the concept that division breaks quantities into groups.
6.NS.1.2. Ability to emphasize that when dividing by a value that is less than one, the quotient is greater than the dividend.
6.NS.1.3. Ability to explore both the measurement concept and the partition concept of division of fractions.
6.NS.1.4. Ability to introduce the fact that the measurement concept uses repeated subtraction or equal groups.
6.NS.1.5. Ability to explore the common denominator algorithm as a method of repeated subtraction.
6.NS.1.6. Knowledge of partition concept focuses on “How much is one?”
6.NS.1.7. Knowledge of algorithm a/b ÷ c/d = a/b x d/c = ad/bc (invert and multiply) is an extension of the partition concept.