Design Your Own City Project: Area & Perimeter Learning Activity - Digital & Printable

It looks like you've shared an image of an educational resource titled "Design Your Own City: Project Based Learning – Area & Perimeter" by INSTRÉ math. This is a differentiated, digital and printable activity designed for students to learn about area and perimeter through a fun, hands-on project.

While the image doesn't contain a specific math problem to solve, it promotes a project-based learning (PBL) activity where students create their own city on a grid map, using concepts of area and perimeter.

Let me explain what this activity likely involves and how to approach solving problems within it:

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🌆 Overview of the Activity

Students are asked to:
1. Design a city on a grid map, where each square represents 1 unit of distance.
2. Include various buildings and features (e.g., houses, schools, parks, roads).
3. Calculate the area and perimeter of different zones or buildings in their city.

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🔧 Math Concepts Used

- Area: The amount of space inside a shape (measured in square units).
Formula:
$$
\text{Area} = \text{length} \times \text{width}
$$

- Perimeter: The total distance around the outside of a shape.
Formula:
$$
\text{Perimeter} = 2(\text{length} + \text{width})
$$

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✔ How Students Might Solve Problems in This Activity

#### Example Task:
> "Design a rectangular park that has an area of 24 square units and a perimeter of 20 units. What are the possible dimensions?"

Step-by-step Solution:

1. Let the length be $ l $ and width be $ w $.
2. Use the area formula:
$$
l \times w = 24
$$
3. Use the perimeter formula:
$$
2(l + w) = 20 \Rightarrow l + w = 10
$$
4. Now find two numbers that multiply to 24 and add to 10.

Try pairs:
- 6 and 4 → $6 \times 4 = 24$, $6 + 4 = 10$ ✔

So, the park could be 6 units by 4 units.

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🛠️ Tips for Success in This Project

- Plan your city layout first: Decide where to place schools, homes, parks, etc.
- Label each building with its dimensions and calculate:
- Area (for space usage)
- Perimeter (for fencing, sidewalks, etc.)
- Use color coding to differentiate zones.
- Include real-world applications: e.g., "This school needs a playground with at least 30 sq. units."

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💡 Educational Benefits

- Reinforces understanding of area vs. perimeter.
- Encourages critical thinking and creativity.
- Promotes real-world application of math.
- Supports differentiation—students can work at varying levels (e.g., simple rectangles vs. composite shapes).

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🖥️ Digital & Printable Formats

The resource works in:
- Google Slides™
- PowerPoint™
- Can be printed as worksheets

Great for both remote and in-class learning.

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✔ Final Answer Summary

Although no specific problem was given in your image, the core task is:
> Design a city using a grid, then calculate the area and perimeter of each structure.

To solve any related math problem:
1. Identify the shape (usually rectangles).
2. Measure length and width from the grid.
3. Apply formulas:
- Area = length × width
- Perimeter = 2(length + width)

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Would you like me to generate a sample student worksheet or solve a specific problem based on this project?