# Project Exchange

# Greenbacks or Greenspace: Decisions about San Francisco Land Use (IMP 3)

## Driving Question What's this?

**How can we use math to reconcile the tensions in land use decisions?**

This project is an adaption of the culminating assessment for the 9-week Interactive Mathematics Program's Meadows or Malls unit. It asks students to use matrices and linear algebra to develop a recommendation for the mayor of San Francisco of how to best use 550 acres of donated land for either recreation or development. Recommendations must adhere to constraints and improvement costs given by the city council for each type of land use.

Final reports are to be submitted with 4 sections (each section is described in more detail on the activity page):

•Current Situation: Description of the given information in both words and tranlations into math

•Investigation: Explanation of the math used to solve for the most cost effective land allocation

•Recommendation: Statment of the most cost effective land allocation but also description of an alternate land allocation that is tailored to the needs of the community.

•Reflection: Analysis of possible errors, problem solving process, personal growth during project

## Subject Area(s): Math

## Teaching Days to Complete: 2 weeks

## Keywords What's this?

matrices, matrix, linear algebra, land, systems, equations,

## Outcomes What's this?

•describe in words the basics of matrices, their inverses, and their operations.

•communicate clearly to both a mathematical and non-mathematical audience

•determine the most cost-effective solution given constraints on the situation

•write a self-reflection on problem solving, growth throughout the year and leadership skills

## 21st Century Leadership Skills What's this?

Communicate Effectively and Persuasively, Manage Projects Effectively, Solve Problems Resourcefully

## Graduation Portfolio Tasks What's this?

Problem-solving Application

## PROJECT GENERAL RESOURCES

**Integrated Math Program, Year 3**

Textbook...

http://www.keypress.com/x5436....