Are you perfect? If you are a 4, 16, or 36 you are. You also are if you are an 8 or 27. By perfect we mean, a perfect square or a perfect cube.
Students will use unit tiles to cover a large square as they explore perfect squares and then use unit cubes to fill a large cube as they explore perfect cubes. This manipulation and visualization of squares and cubes introduces students to these concepts while providing a foundation that students will build upon later in this activity as well as in additional activities. They will apply this understanding as they find the cube the root of some numbers and cube others.