Ice Cream FlavoursTask 118 ... Years 2  10SummaryImagination is stimulated by the story shell of building your own tripleheader ice cream  3 scoops of icecream, but each scoop has to be a different flavour. If there are only 3 flavours, how many different tripleheaders can be made? But that's only the beginning. What happens if...? 
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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 solution to the task card is:
although in this case the student selected peppermint as one scoop instead of vanilla. The neat visual pattern indicates the thinking involved.
Assuming no repeats of flavours are allowed:

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. 
The whole class lesson for this task is detailed in Maths300 Lesson 143, IceCream Flavours. This lesson also extends the investigation with software. You will need a collection of cubes, similar to those shown, for the students and some A4 pieces of coloured paper for yourself to use as a floorboard introduction. If you use white and three other colours, the white can be quickly folded to a cone shape and the each other page is a scoop. For more ideas and discussion about this investigation, open a new browser tab (or page) and visit Maths300 Lesson 143, IceCream Flavours, which also includes student journal work in the Classroom Contributions and an exciting assessment approach. 
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 Ice Cream Flavours task is an integral part of:
The IceCream Flavours lesson is an integral part of:
