
Fractional City: A City Planning Project
Inquiry Framework
Question Framework
Driving Question
The overarching question that guides the entire project.How can we design a sustainable and efficient city plan that optimizes land use by applying the principles of fraction multiplication to allocate different zones and calculate their areas?Essential Questions
Supporting questions that break down major concepts.- How can fractions be used to represent portions of land in our city plan?
- How does multiplying fractions help us calculate the area of different zones in our city?
- In what ways can we use multiplication of fractions to optimize the use of space in our city plan?
Standards & Learning Goals
Learning Goals
By the end of this project, students will be able to:- Students will be able to apply fraction multiplication to calculate the area of different zones within the city plan.
- Students will be able to design a sustainable and efficient city plan.
- Students will be able to optimize land use through strategic allocation of zones.
Entry Events
Events that will be used to introduce the project to studentsFood Truck Rally Frenzy
A popular food truck rally is coming to town, and students are tasked with designing the layout of the trucks using fractional portions of the available space. They must consider truck sizes, customer flow, and profit maximization, triggering entrepreneurial thinking and real-world application.Portfolio Activities
Portfolio Activities
These activities progressively build towards your learning goals, with each submission contributing to the student's final portfolio.Area Calculation Experts
Now, students will calculate the actual area of each zone using fraction multiplication. They'll be given the total area of the city block and will need to multiply it by the fraction representing each zone to find the zone's area.Steps
Here is some basic scaffolding to help students complete the activity.Final Product
What students will submit as the final product of the activityA detailed calculation sheet showing the area of each zone in the city block, derived from fraction multiplication.Alignment
How this activity aligns with the learning objectives & standardsAddresses the learning goal: Students will be able to apply fraction multiplication to calculate the area of different zones within the city plan and Students will be able to optimize land use through strategic allocation of zones.Rubric & Reflection
Portfolio Rubric
Grading criteria for assessing the overall project portfolioCity Planning with Fractions Rubric
Mathematical Calculations
Focuses on the mathematical accuracy and clarity of the calculations presented in the final product.Calculation Accuracy
Accuracy of area calculations using fraction multiplication.
Exemplary
4 PointsAll area calculations are correct and demonstrate a sophisticated understanding of fraction multiplication. The student innovatively applies these calculations to optimize land use.
Proficient
3 PointsAll area calculations are correct and demonstrate a thorough understanding of fraction multiplication. The student applies these calculations appropriately.
Developing
2 PointsSome area calculations are incorrect, indicating an emerging understanding of fraction multiplication. The student applies these calculations inconsistently.
Beginning
1 PointsMost area calculations are incorrect, demonstrating minimal understanding of fraction multiplication. The student struggles with the application of these calculations.
Presentation Clarity
Clarity and completeness of the calculation sheet.
Exemplary
4 PointsThe calculation sheet is exceptionally clear, well-organized, and includes all necessary steps and explanations. The presentation is outstanding.
Proficient
3 PointsThe calculation sheet is clear, well-organized, and includes all necessary steps and explanations. The presentation is high quality.
Developing
2 PointsThe calculation sheet is somewhat unclear, lacks some organization, and is missing some steps or explanations. The presentation is adequate.
Beginning
1 PointsThe calculation sheet is unclear, disorganized, and missing many steps or explanations. The presentation is incomplete.
Application and Optimization
Focuses on the student's ability to apply fraction multiplication to real-world scenarios to create a well-optimized city plan.Optimization of Land Use
Application of fraction multiplication to optimize land use in the city plan.
Exemplary
4 PointsDemonstrates an innovative and highly effective application of fraction multiplication to optimize land use, resulting in a sustainable and efficient city plan. The student shows exceptional critical thinking.
Proficient
3 PointsDemonstrates an effective application of fraction multiplication to optimize land use, resulting in a sustainable and efficient city plan. The student shows effective critical thinking.
Developing
2 PointsDemonstrates a basic application of fraction multiplication to optimize land use, with some attempts at creating a sustainable and efficient city plan. The student shows basic critical thinking.
Beginning
1 PointsDemonstrates a minimal application of fraction multiplication to optimize land use, with little evidence of creating a sustainable and efficient city plan. The student shows minimal critical thinking.