Objective: Decompose and compose fractions greater than 1 to express them in various forms.
In Lesson 25, students are then able to decompose the two wholes into 8 fourths so their original number can then be looked at as 8/4 + 3/4 or 11/4 . In this way, they see that 2 3/4 = 11/4. This fact is further reinforced when they plot 11/4 on the number line and see that it is at the same point as 2 3/4. Unfortunately, the term improper fraction carries some baggage. As many have observed, there is nothing improper about an improper fraction. Nevertheless, as a mathematical term, it is useful for describing a particular form in which a fraction may be presented (i.e., a fraction is improper if the numerator is greater than or equal to the denominator). Students do need practice in terms of converting between the various forms a fraction may take, but take care not to foster the misconception that every improper fraction must be converted to a mixed number.
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