Introduction
Welcome, Math Explorers!
The mayor of Shapes City needs your help! The parks, playgrounds, and buildings are being redesigned, but the builders forgot how to calculate perimeter and area!
Without your AMAZING math skills, fences won't fit and playground turf won't cover the ground properly.
Your mission is to learn the formulas for perimeter and area and use them to solve real-world problems.
Task
You will:
- Learn the formulas for perimeter and area
- Explore math websites and videos
- Solve at least 10 math challenges
- Show your work
- Become an official Shape City Designer
Process
Visit each website below and answer the questions in order. Show your work on a separate sheet of paper.
1. What is the formula for the perimeter of a rectangle?
2. What is the formula for the area of a rectangle?
3. What does area measure?
4. If a rectangle is 7 cm long and 4 cm wide, what is it's area? Show your work.
5. What does perimeter measure?
6. Find the perimeter of a square with a side length of 9 feet.
7. A playground is shaped like a rectangle. It is 15 meters long and 8 meters wide. What is it's perimeter?
8. A garden is 12 meters long and 6 meters wide. What is its area?
9. Explain in your own words the difference between area and perimeter
10. Which measurement would you use to buy fencing for your yard? Why?
11. A rectangle classroom rug is 10 feet long and 5 feet wide.
- What is the area?
- What is the perimeter?
Evaluation
| Criteria | 4- Excellent | 3- Good | 2- Needs Improvement | 1- Incomplete |
| Understanding of Formulas | All formulas correct | Most correct | Some correct | Few correct |
| Work Shown | All work clearly shown | Most work shown | Some work shown | No work shown |
| Accuracy | 90-100% correct | 75-89% correct | 50-74% correct | Below 50% |
| Explanation Question | Clear and detailed | Mostly clear | Somewhat clear | Not explained |
Conclusion
Congratulations, Shape City Designers!
You have learned:
- Perimeter measures the distance around a shape
- Area measures the space inside a shape
- Formulas help us solve real-world problems
You are officially a Perimeter & Area Pro!
Credits
Khan Academy
Math is Fun
Splash Learn
IXL Learning
BBC Bitesize
Education.com
Teacher Page
4.MGSR.1.
Solve area and perimeter problems in real-world and mathematical situations.