Product No. HiMAP Pull-Out Supplementary Print Price: FREE with membership

Gridville

Marsha Davis, Pat Taylor

 Mathematics Topic:Algebra, Linear Algebra, Various Application Areas:Urban planning, Civil engineering Prerequisites:Linear equations; finding slops of lines; absolute value

| ©2006 Consortium 91 | 12 pages |

The activities in this Pull-Out focus on finding the optimum location for a townâ€™s fire station.

Activity 1 establishes the context: Gridville, a city laid out in a rectangular grid of streets, needs a fire station. In a very open activity, students decide on the important factors to consider in selecting the best location.

In Activity 2, students simplify the situation and attempt to solve the fire-station-location problem in linear villages, towns with one street. Using tables and hand-drawn graphs, students find solutions to two and three-house linear villages and then generalize their results to linear villages with n houses.

In Activity 3, students develop algebraic equations representing the total distance from the fire station to each house in Linear Village. These equations involve absolute value and produce piecewiselinear graphs.

In Activity 4, students adapt what they have learned with linear villages to Gridville.