Key Mathematical Ideas

Students’ solutions for sharing situations may result in different additive expressions with fractions. Teachers can help students develop ideas about addition of fractions by challenging them to determine which of their classmates’ answers are equivalent and which are incorrect.

The meaning of multiplication or division may need to be extended when the numbers to be operated on shift from whole numbers to fractions.

The equivalence of a / (b/c) and a x (c/b) can be seen by considering different interpretations of a single diagram.

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