Garden Geometry

Introduction

This webquest is made for students to work on real world problems in geometry. Students will learn and understand many geometric concepts and be able to apply them in real world situations.

 

Task

You are to work with a partner or by youself and create, plan, and model a garden. You are to use lessons that you’ve learned in Mrs. Cousins class such as area, Trig, circumference, and parallel and perpendicular lines. You will demonstrate your understanding of this project by answering questions and completing tasks.

Process

  1. Choose a partner or choose to work alone

  2. Choose the area of your garden

  3. You may plan out your garden on:  http://www.smallblueprinter.com/garden/planner.html OR Make a 3D model

  4. Here’s a checklist of all the things necessary in your garden:

  • At least one circular pond

  • At least two square areas with flowers

  • At least two trees

  • At least one arch way

  • At least one bench

      5. You are to find the area of the pond. The diameter is 20ft. 

      6. Find any perpendicular or parallel lines that may be present in your garden

      7. You are to find the height of the tree. The arch is 8ft high. They are 20ft apart. The angle of elevation from the top of the arch to the top of the tree is 29 degrees. 

      8. Find how many flowers can fit in the garden if the garden is 13X14 and the flowers take up 14 sq. ft.

      9. When you are done planning your garden on the website provided, you are to print it and turn it in OR make your creative touches in your model and turn it in. 

     10. Write all the information needed (such as the areas) on the back or on a seperate sheet of paper

Evaluation
CATEGORY Exceeds Expectations Meets Expectations  Barely Meets Expectations  Does not meet Expectations
Answers Problem Solves questions correctly; using Trig and Area. Creates creative responses and goes above and beyond with detail. Solves questions correctly; uses Trig and Area. Creates detailed response. Solves some questions correctly; someway using Trig and Area. Creates response with little detail. Does not solve questions correctly nor uses Trig and Area. Creates response with little or no detail.
Neatness and Organization The work is presented in a neat, clear, organized fashion that is easy to read. The work is presented in a neat and organized fashion that is usually easy to read. The work is presented in an organized fashion but may be hard to read at times. The work appears sloppy and unorganized. It is hard to know what information goes together.
Checklist Has all items on checklist and adds own creativeness. Uses all materials needed on checklist. Uses some items on checklist. Uses little to no items on checklist.

Lets see how you did! 

1. To find the Area of the pond we multiply Pi times the radius squared. We know the diameter is 20ft. Radius is half. So our final equation would be 3.14X102 .  Our Area would be 314ft. 

2. Some Parallel and Perpendicular lines we found were the edges of the gardens. They run side by side not touching. Perpendicular lines we found were in the arch. 

3. In order to find the height of the tree we use Trig. We know the arch is 8ft, they are 20ft apart, and the angle of elevation is 29. To find the height we use Tangent. Our equation will be set up like this Tan 29=x/20. We multiply 20 to both sides and get x=17.74. But we need to add the arch height to find the whole height of the tree. So the height will equal 25.74ft.

4. The gardens are squares. Area of a square is the sides squared. So if its 13X14. We multiply that and get 182. If each flowers takes up 14 square feet. We divide 182 by 14 and get 13 as our final answer. 

Conclusion

We hope you had fun completeing this webquest! Now you should know that you really do use geometry in the real world. Also we hope you have a better understanding of how to use the fundamentals you learned in this class, including Trig, Area, Circles, Parallel and perpendicular lines, and more. Make sure you review the rubric closely before turning your project in.

Credits

Hi, I'm Gabriela Misuraca. I am 15 years old. I go to Flagler Palm Coast high school, and I am currently a Sophmore.  I take Geometry Honors with Mrs.Cousins. I'm also a dancer at Flagler School of Dance. I love to perform and learn new things. 

Hello, I am Kaitlyn Holling. I am 16 years old. I go to Flagler Palm Coast High School, and I am currently a Sophmore. I am taking Geometry Honors with Mrs.Cousins I am on Cross Country and I enjoy working with animals and volunteering at the Flagler Humane Society.