Scenario: Community Service - Apply all 7th grade math concepts to solve real-world problems!
Your school is organizing a community service project to create a sustainable garden and recycling program. You need to plan the entire project using mathematical analysis. The project includes: designing a garden layout, calculating costs, analyzing recycling data, and planning volunteer schedules.
Community Challenge:
Create a comprehensive plan that applies all your 7th grade math skills to make this project successful.
Garden Design:
Recycling Program:
Total Garden Area: 20m × 15m = 300 m²
Vegetable Plot Area: 4m × 3m = 12 m² per plot
Flower Bed Area: π × (2m)² = 12.57 m² per bed
Maximum Plots: Can fit 6 vegetable plots and 4 flower beds with paths
Seeds: $5 per plot × 6 plots = $30
Flower Plants: $8 per bed × 4 beds = $32
Soil & Fertilizer: $2 per m² × 300 m² = $600
Tools & Equipment: $150
Total Garden Cost: $30 + $32 + $600 + $150 = $812
Total Weekly Waste: 500 students × 2kg = 1,000 kg
Recyclable Waste: 1,000 kg × 60% = 600 kg
Compostable Waste: 1,000 kg × 40% = 400 kg
Weekly Savings: 600 kg × $0.50 = $300
Annual Savings: $300 × 36 weeks = $10,800
Garden Setup Time: 40 hours total
Available Volunteers: 20 students
Hours per Volunteer: 40 ÷ 20 = 2 hours each
Daily Maintenance: 1.5 hours per day, 3 volunteers needed
Total Investment: $812 (one-time garden setup)
Annual Savings: $10,800 (from recycling program)
Net Benefit: $9,988 per year
ROI (Return on Investment): 1,230% in the first year!
Environmental Impact: Diverts 1,000 kg of waste weekly from landfills
Educational Value: 500 students learn about sustainability
Community Benefit: Fresh produce for school cafeteria
Plan a school fundraiser selling homemade cookies. You can make 200 cookies per day for 5 days. Each cookie costs $0.50 to make and sells for $2.00. You need to raise $1,500 for new computers. Will you meet your goal? If not, how should you adjust your plan?
Your comprehensive analysis:
Design a community park with a playground, basketball court, and picnic area. The total area is 1,200 m². The basketball court is 28m × 15m, the playground is circular with radius 8m, and the picnic area is rectangular. If the picnic area should be 20% of the total area, what are its possible dimensions?
Your design solution: