Parking Cars

Purpose

The purpose of this activity is for students to fit rectangles of a specified shape into a defined space according to identified criteria.

Description of Mathematics

This activity could be included in a thematic study with a context of, for example, town planning, of architecture and design or transport. The background knowledge and skills that should be established before and/or during this activity are outlined in the diagram below:

Click to show example questions for each heading

This activity may be carried out with step by step guidance, or by allowing the student to follow their own method of solution. The approach should be chosen in sympathy with students' skills and depth of understanding.

Activity


A small business wants to build a customer carpark on the land in front of their shop.

The land is a 15 m by 12 m rectangle with road access on the short side. Each car park space needs to be 3 m by 5 m and cars need at least 4 m of clear space between rows to get in and out without incident.

Can you arrange a layout for the carpark that will allow for at least 8 cars to be parked on the space?

 

The procedural approach  (show more)

  • The student is able to model the problem in order to fit rectangles of a specified shape and spacing into a defined space.

The conceptual approach  (show more)

  • The student is able use scale diagrams to fit rectangles of a specified shape and spacing into a defined space.

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