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Middle School Math Department | From Blueprint to Design – Exploring Proportions in Real Life

January 9, 2025

Proportions play a significant role in everyday life. In middle school math, students are required to not only understand the fundamentals of proportions but also apply them in complex real-world scenarios. Examples include using precise proportions to create architectural models, converting distances with map scales, and interpreting data through proportional relationships in graphs.

To cater to students' diverse interests, this project offered two pathways: one focused on redesigning and renovating an old apartment, and the other on exploring creative fashion design.





Students who chose the apartment renovation pathway delved into the use of proportions in architecture. They considered various factors, such as scale, material budgeting, and spatial layout, to ensure their designs were both functional and visually appealing. Their first task was to create scaled floor plans, transforming conceptual ideas into detailed blueprints. They then explored advanced applications of proportions, such as analyzing construction costs, forecasting project timelines, and optimizing space usage. With their calculations and designs, numbers turned into bricks, and charts evolved into visions of the apartment’s future.





Students interested in fashion design explored the role of proportions in creating garments that balance aesthetics and practicality. They adjusted measurements, optimized designs, and demonstrated how proportions influence both functionality and visual appeal. Using imagination as their brush and scale as their palette, they crafted unique styles that were both innovative and harmonious.

In their final presentations, students showcased their work through speeches and posters, confidently addressing real-world questions posed by teachers. They demonstrated strong mathematical reasoning, creativity, and teamwork throughout the process.







Through this engaging project, students realized that mathematics is not just abstract symbols and formulas, but a source of wisdom closely connected to life, empowering them with the insight and ability to solve real-world problems.

Written by Peiyao Tang, Wei Xu

Pictures by Grade 6 math teachers

Edited by Cong Luo

Reviewed by Chenli Shen, Cong Luo, Judah Kuhn