# Measurement - Mathematic Reform

**Tutor description**

After students start to get an understanding of characteristics that the units of measurement have and how to identify them, they can start to explore how these characteristics can be changed. Students can explore what happens to measurements of a two-dimensional shape, such as its perimeter and area, when the shape is changed in some way (NCTM, 171). An excellent activity that demonstrates this standard can be found in the February 2005 Teaching Children Mathematics Journal. It gives the students a square on a piece of graph paper that measures six centimeters by six centimeters with an area of 36 square centimeters. It then asks them how many shapes they can find that have the same area (triangles, rectangles, trapezoids, and parallelograms). Along with finding the area of these shapes the students are asked to look at their differences in perimeter.

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