Latin SquaresTask 44 ... Years 2  10SummaryUsing a 3 x 3 grid and three blocks of each of three colours, arrange the blocks so that each row and column has exactly one of each colour. Try a 4 x 4 grid. Try a 5 x 5 grid. 
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IcebergA task is the tip of a learning iceberg. There is always more to a task than is recorded on the card.
Square B 
The card suggests finding only one latin square of each size, but of course the challenge is in seeking others. One way to be sure of finding a latin square is to use this process:
Another process which could produce a solution is:
But suppose the black in the second row was placed in its second 'legal' position. Then the blacks would have to be placed like this:
Latin Squares & DesignBoth these designs were made from a Latin Square in the bottom right hand corner of the design.

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. 
To convert this task to a whole class investigation you only need plenty of blocks, tiles or Unifix cubes and grids to match. The questions above suggest the direction of the investigation. At this stage Latin Squares 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 Latin Squares task is an integral part of:
