Final Project

This final project challenges you to explore how mathematics can be used to model change, and predict outcomes during one of the most significant financial decisions many people will ever make: purchasing a home.

In this project, you will take on the role of a prospective homeowner and investigate whether a real property is financially achievable and worth purchasing. Using real housing listings, current mortgage rates, property tax information, and realistic financial assumptions, you will build a complete financial picture of homeownership.

You will research a property, prepare a purchase offer, compare mortgage options, construct an amortization spreadsheet, estimate operating costs, forecast future home values, calculate equity, and analyze the impact of potential rental income. Along the way, you will use mathematical models to evaluate both the short-term affordability and long-term financial implications of your decisions.

This project serves as a capstone to the financial mathematics and modelling concepts studied throughout Pre-Calculus 12. It combines algebraic reasoning, exponential functions, spreadsheet analysis, financial literacy, and critical thinking in a real-world context.

By the end of the project, you will not simply know whether you can buy a particular home—you will understand the financial consequences of that decision and be able to justify whether it represents a sound investment.