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Andrew's Caravan

Keywords:
Achievement Objectives:

Achievement Objective: GM4-2: Convert between metric units, using whole numbers and commonly used decimals.
AO elaboration and other teaching resources

Purpose:

The purpose of this activity is to engage students in solving a problem using measurements that are not in a compatible format.

Description of mathematics:

To solve this problem, the students will need to consider the units of measurement they will use and to convert and/or calculate where necessary. The will need to make decisions on how to use the measurements given, within the context specified, to solve the problem. The activity ideally follows exploration and learning in the following areas.

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The activity should be sufficiently open ended to allow the students freedom of choice in their approach. It may be scaffolded with guidance that leads to a solution, and/or the students might be given the opportunity to solve the problem independently. The approach should be chosen in sympathy with their skills and preferred method of solution.

Activity:

Andrew wants to store his caravan in a shed with clearance of 2.25 m to get into the shed.

The caravan body is 1.85 m high and is on wheels of diameter, 40 cm. He is going to fit a dome ceiling window in the roof of the caravan.

What is the maximum height the dome could be, so that he can still use the shed for storage?