Lesson objective: Use folding and cutting to discover whether wholes can be partitioned into equal shares with different shapes.

This lesson helps to build procedural skill with partitioning wholes into equal shares with different shapes. Rectangles are used here because it allows students multiple opportunities to discover whether equal parts can be shaped differently. This work develops students' understanding that shapes can be partitioned into equal shares with different shapes.

Students engage in Mathematical Practice 2 (Reason abstractly and quantitatively) as they use their knowledge of equal parts to discover if shapes are partitioned equally. Students also engage in Mathematical Practice 3 (Construct viable arguments) as they articulate their thinking of why parts are equal or unequal, as well as understand and critique the explanations of others.

**Key vocabulary:**

**Special materials needed:**

- glue
- practice sheets (in-class practice and additional practice)
- scissors