In math we have been exploring polygons:
You are a structural engineer, which means you work on designing bridges, roads, canals, dams, and buildings that are safe. You must have a strong understanding of two and three-dimensional geometry to be a structural engineer. Today you will be investigating the strength of polygons. When designing something like a bridge you need to know which shapes offer the most support and can hold the most weight. Did you know that some shapes are actually stronger than others?
Task 1: Before you begin your investigation, make a prediction about which shape you think will be the strongest.
Task 2: Create polygons using the strips and brads provided. You should make polygons with three, four, five, six, seven, and eight sides for a total of six polygons. Record your observations of these shapes using words, pictures, and numbers. Use mathematical language to describe the polygons.
You can see Will's recording work below. One of the patterns that he (and we) noticed is that "the bigger the shape the less sturdy it is," which means the triangle was the strongest shape. This surprised many of us who predicted that "the more sides a shape has the stronger it will be." It was an ah-ha moment to build the shapes and realize that we needed to revise our thinking.