Task# How Many Batches/What Fraction of a Batch?

Illustrative MathematicsVaries

The purpose of this task is to help students extend their understanding of multiplication and division of whole numbers to multiplication and division of fractions. In grade 5, students multiply two fractions together and learn that a fraction times a number can be interpreted as that fraction of the number, divide two whole numbers with a non-whole number quotient, and divide a whole number by a unit fraction and a unit fraction by a whole number. Notably, all of the division students do in grade 5 can be supported by an understanding of a whole number of groups. The big shift in grade 6 is that students tackle division contexts that involve a fractional number of groups.