Task# Which Pictures Represent One Half?

Illustrative MathematicsVaries

The purpose of this task is for students to see different ways of partitioning a figure into two or more equal shares, by which we mean decomposing the figure into 'pieces' with equal area. In third grade, students should be able to reason in general about the relative size of unit fractions based on the idea that they are created by partitioning a whole into a certain number of equal shares; in second grade they begin to build this understanding by working with geometric figures that represent the unit representing one half. Students struggling with this would benefit from having some tracing paper that would allow them to physically demonstrate that one can be rotated to exactly match up with the other.