The task was called ‘Tile It’ and the boys were exploring which 2D shapes tessellate into a tiling patterns and which do not.
When shapes tile, they cover a plane with no gaps or overlaps, this is also known as tessellation. The boys’ inquiry was to try and discover the role that angles play to help shapes ‘fit together’ repeatedly and infinitely into a tiling pattern. In this lesson, the boys began to explore with their eyes and hands how various angles do – and do not – fit together. They worked in pairs to make their discoveries, discuss and decide on their findings and then present their conclusions to the class.
Mathematics is a creative and highly inter-connected discipline. It is essential to everyday life, critical to science, technology and engineering, and necessary for financial literacy and most forms of employment. Our high-quality mathematics education, therefore, provides a foundation for understanding the world, the ability to reason mathematically, an appreciation of the beauty and power of mathematics, and a sense of enjoyment and curiosity about the subject. Pupils develop competence in Mathematics through discrete lessons and learn to apply these skills through the inquiry based Curriculum Framework. Pupils use their number, space, shape and data handling skills alongside English, Science and all other subjects in a number of different ways to increase conceptual understanding and take action on global and local issues.