Fold Up HousesTask 55 ... Years 4  10SummaryA mythical company makes 'flat pack' houses. Lay out the house panels on the ground according to a particular pattern, fold up and 'Hey presto!' ... new house. Houses can be made in rows of any length so the company needs to be able to calculate in advance the number of square and triangle pieces it needs for any given order. Therein is the problem.If I tell you any length of row, can you tell me how many square and how many triangle pieces will be needed. 
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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. 
The pattern of use may be described as follows: SquaresHowever, this is not the only way. It is important though, whichever language the students choose, that they can show you with the pieces why each number and operation is in their description. Words can then be expressed in many ways and students should be encouraged to explore more than one. These words could be:
Extending the problem further might involve:

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. 
If you have a collection of MiniGeofix with enough pieces for pairs to use, this task can be easily converted to a whole class lesson. The only workable alternative would be the larger 3d Geoshape pieces and they would be better used in groups of four. The class investigation would parallel the work on the card and the iceberg questions listed. It might also lead to an expectation that students would publish a report of the investigation, selecting from a range of possible media, eg: print, digital photography, PowerPoint, poster, video, web site... At this stage, Fold Up Houses 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 Fold Up Houses task is an integral part of:
