Task 19 ... Years 2 - 6
SummaryPlace any number of cookies on a plate ready to offer equal shares to guests. The problem is:
If I tell you any number of guests can you tell me the share they each receive?This cameo includes an Investigation Guide.
MaterialsA large number of counters and a paper plate.
IcebergA task is the tip of a learning iceberg. There is always more to a task than is recorded on the card.
There are two variables in this problem - the number of cookies and the number of guests - and in choosing these the student creates their own iceberg. Some combinations of the numbers will give 'whole cookie sharing'; some will lead to the need to find fractional parts of some cookies. Even young children with little formal experience of fractions find ways to handle the second of these situations. Their desire to make fair shares is quite strong. It is not necessary to take the 'give the extras to the dog' approach.
If teachers wish they can set particular problems to limit the experience to whole numbers, or to encourage a search for patterns. For example:
ExtensionsUse this Investigation Guide shared by Toni Pfeiffer, Good Shepherd, Amaroo - or design your own and share it here.
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.
This task is easy to convert to a whole class investigation. You only need lots of counters and a paper plate for each group. No paper plates? A piece of paper will do. If you have Poly Plug, use them as cookies.
For more ideas and discussion about this investigation, open a new browser tab (or page) and visit Maths300 Lesson 174, Cookie Count.
Visit Cookie Count in Menu Maths Pack D.
Is it in Maths With Attitude?Maths With Attitude is a set of hands-on learning kits available from Years 3-10 which structure the use of tasks and whole class investigations into a week by week planner.
Cookie Count is not in any MWA kit. However it can be used to enrich the Number & Computation kit at Years 3/4.