“Design Your Dream Park Using Linear Equations”

Introduction

Introduction

Imagine you are a young city planner tasked to design a community park. The city council wants a park that is both beautiful and mathematically efficient. To do this, you must use linear equations to plan paths, spaces, and layouts.

Task

Task

Your task is to design a park layout using linear equations.

You will:

  • Create a simple map of your park
  • Use at least 3 linear equations (lines) to represent paths or boundaries
  • Present your design with explanations

Final Output:

  • A drawing (digital or on paper) of your park
  • A short explanation of the equations used
Process

Process

Step 1: Review Concepts

Study linear equations and graphs:

  • Slope-intercept form:y = mx + b

Step 2: Explore Examples

Look at sample graphs and how lines are used in real-life designs.

Step 3: Plan Your Park

  • Sketch your park on graph paper
  • Decide where paths, fences, or zones will go

Step 4: Create Equations

  • Write at least 3 linear equations for your design
  • Example: A path could follow
    • y=2x+1y = 2x + 1y=2x+1
    • y=−x+5y = -x + 5y=−x+5

Step 5: Draw the Graph

  • Plot your equations
  • Label each line clearly

Step 6: Final Presentation

  • Combine your drawing and explanation
  • Explain how math helped your design

 

Resources

You may use the following:

Evaluation
Criteria Excellent (4) Good (3) Fair (2) Needs Improvement (1)
Use of Equations 3+ correct equations 2 correct equations 1 correct equation Incorrect/no equations
Graph Accuracy All lines correct Minor errors Some errors Incorrect graph
Creativity Very creative design Creative Simple Minimal effort
Explanation Very clear and detailed Clear Somewhat clear Unclear

 

Conclusion

Conclusion

Congratulations, city planner! 🎉

You have learned how linear equations can be used in real-world design. Reflect on these questions:

  • How did math help in your design?
  • What challenges did you face?
  • Where else can we use graphs in real life?