Final project · Week 10 of 10
Build a Math City
Students combine every skill from the course to design a paper city on a grid - geometric buildings with measured heights, a bakery that sells fractions, a bank that makes change, and a survey of residents shown as a graph - then present the math behind it.
- Estimated time
- 60-90 minutes
- Skills used
- Geometry, Measurement, Money, Fractions, Operations, Data, Problem solving
You're the city planner
The mayor of Math City has one job left before the grand opening: the whole city needs to be designed, and it needs to work. Every building is a shape, every street has a length, the bakery sells slices as fractions, the bank makes change, and the city planner wants a graph of what residents like best. You've trained for nine weeks. Now you're the chief designer - build a city that runs on math.
Design a small city on the grid below. Every part of your city uses math from the course: buildings are geometric shapes with a cost, the whole city has a budget, the park is a fraction of the space, and your spending becomes a graph. Plan carefully - the budget is real.
What your city must include
- At least 5 buildings
- Roads or paths through your city
- A park or green space
- A school
- A store or market
- A budget of $50 you stay within
- Measurements - each grid square is 1 unit
- At least 5 different geometric shapes
- One fraction rule (for example, the park is about 1/4 of the city)
- One graph or data display (your budget spending graph)
- A written explanation of your choices
Math City planner
Pick an item, then click grid squares to place it. Click a filled square with the same item to remove it, or choose Erase. Each square is 1 unit; each item costs money per square.
Selected: School
- Budget
- $50
- Spent
- $0
- Left
- $50
Shapes used (0)
None yet - place some buildings to add shapes.
Your spending graph
This bar graph updates from your plan and shows how you spent your budget by category.
Requirement checklist
1 of 8 requirements met.
- At least 5 buildings placed(0/5) - not done yet
- At least one park - not done yet
- At least one road or path - not done yet
- Budget is not exceeded($0 / $50) - done
- At least 5 shapes used(0/5) - not done yet
- Fraction rule included (park fraction) - not done yet
- Graph / data display completed - not done yet
- Reflection completed - not done yet
Explain your city
Write a short answer for each. Your answers are saved on this device.
Your planner total is currently $0.
Place a park to create some green space.
Look at your spending graph above.
Advanced constraints (older students)
Optional challenges. The statuses update live from your plan.
- The park is about 1/4 of the city(0% now) - not done yet
- Roads are at least 12 units long(0/12) - not done yet
- The city stays within $50($0) - not done yet
- A graph shows how the budget was spent - not done yet
- You explained one tradeoff you made - not done yet
Finish your final project
You have met 1 of 8 requirements. You can complete the checklist above, or mark the project complete when you're ready.