Smooth Edge TilesTask 220 ... Years 4  8SummaryThe story shell is about creating tiled rectangular patios. Only the tiles on the border have smoothed (curved) edges. Some of these tiles have one smooth edge. The corner tiles have two. The challenge is to calculate the number of each tile  0, 1, or 2 smooth edges  needed for a given size patio.This task is a perfect partner for Garden Beds, 4 Arm Shapes, Making Monuments and several others. Use the Task Cameo Content Finder to look for more based on common content listed here on the right. A set of 10 related tasks can be structured as a Mixed Media Unit and a set of 20 related tasks can be structured as a Replacement Unit. 
Materials
Content

IcebergA task is the tip of a learning iceberg. There is always more to a task than is recorded on the card. 
The thinking in this task involves realising that:
ExtensionsAll of Kareema's patios are rectangles.

Whole Class InvestigationTasks are an invitation for two students to work like a mathematician. Tasks can also be modified to become whole class investigations which model how a mathematician works. 
With a good stock of square tiles it is possible to make bags of tiles like the ones in the task quite quickly, especially if a faculty works together. The edges can be drawn by hand with a stroke of a permanent marking pen. Alternatively students can use graph paper to explore the various patios. The focus challenge of the lesson is: If I tell you any dimensions for a rectangular patio, can you tell me how many of each type of tile are needed to build it? At this stage, Smooth Edge Tiles does not have a matching lesson on Maths300. 
Is it in Maths With Attitude?Maths With Attitude is a set of handson learning kits available from Years 310 which structure the use of tasks and whole class investigations into a week by week planner. 
The Smooth Edge Tiles task is an integral part of:
