Year 9

Mathematics

Using Pythagoras’ Theorem in the real world

by Helen Kerr-Lawley, teacher of Mathematics

One of the most vital elements of MYP Mathematics is relating what is learned in class to real-world problems, and one of the most obvious uses of mathematics is in the things we see around us, such as buildings. Whether by an ancient Egyptian or a Chinese architect of the Zhou Dynasty, the theorem known to us these days as Pythagoras’ Theorem  has been used in architecture and engineering for thousands of years. Its application and the importance of the two-dimensional shape the triangle  were made very apparent to Year 9 students from the outset this year when they responded to the challenge, Who can build the tallest tower?

Given a set of parameters and supplies of icy pole sticks and Blu Tack, students in both classes jumped into action to build a tower that could support a golf ball for two minutes. Diagrams, discussions and theories abounded as the groups decided how best to achieve this feat. There were lots of triangles in use, as well as squares to act as floors supported by said triangles.

One construction came out as the clear winner due to the group’s thorough preparation and consideration of the given parameters.

The students also reflected on their use of specific Approaches to Learning (ATL) skills whilst completing this task; these were to delegate and share responsibility for decision-making; to manage and resolve conflict, work collaboratively in teams; and to listen actively to other perspectives and ideas.

Everyone had a lot of fun but also learned much from this real-world application problem. They are now well-placed to work individually on their skill building using Pythagoras’ Theorem and also to consider the real-world problem How can you work out the size of the biggest plasma screen that will fit on a wall?  later in this unit.