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EDCI 5314

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EDCI 5314

“Don't Fence Me In”

For Geometry ( 9th Grade Math )

Designed by

Soo Han

E-Mail: [email protected]

Mrs. O McDonald had a fenceless farm E-I-E-I-O. The cows are wandering, will you please help her make them a home? She cares for her cows’ happiness. She wants to build the corral so that there is as much space as possible inside it for the cows to move around.

Your objective is to construct a corral for her

wandering cows. The corral that you construct

should contain the largest possible area of the

rectangle, the most room for the cows to move

around. You should find a formula or rule for

width and area of the rectangle later.

Please read this entire page before starting the activity.

List the differences between the definitions of perimeter and area on your spreadsheet

- You will have 300 feet of fencing to use. You must use all 300 feet of fencing.
- Play with the problem, trying various lengths and widths for the rectangle. Use your intuition to guess what the dimensions of the corral should be.
- Make an In-Out Table where the In is the width of the rectangle and the Out is the area of the rectangle. Make several specific choices for the width and find the corresponding area. Pay attention to how you calculate those areas to keep my cows from wandering away.
- Make a scale drawing of each pasture on your worksheet. (You can draw by hand or by using a computer such as geo-sketchpad
- Record the perimeter and areaof the corral that you design, on your scale drawing using the spreadsheet (Don't forget to do this step for each pasture.)

- Repeat steps 4, 5, and 6 until you feel that you have constructed every possible corral.
8.Choose the best corral for her cows.

- Write a paragraph explaining which corral you would build. Find a formula or rule for this in-Out Table. Use the variable w to represent them width of the rectangle and use A to represent the area
This paragraph should include: The perimeter of the corral and the area of the corral

Why your corral is the best solution to the problem

To review the definitions of perimeter and area click on the link below.

1. Perimeter of Polygon

2. Area and Perimeter

Points Available 20

Points Earned 20

Students list the differences between area and perimeter.

20

Students complete scale drawings for each possible corral.

20

Students label each scale drawing correctly

10

Students identify all possible areas and perimeters of corral, which can be constructed. (Completion of In-Out Table)

30

20

Student's paragraph clearly state which corral they would build and why.

Total Points

100

You and your partner did a wonderful job~! After working with your group project, you should be able to achieve and obtain following skills:

- Knowing given perimeter of the corral, you should come up with various perimeter and area of the rectangle.
- Finding the perimeter of a rectangle and the area of a rectangle.
- Conclude the information after analyzing the perimeter and area
- Identifying the differences between area and perimeter. It Shows that rectangles can have the same perimeter, but they may have different areas.
I hope you enjoyed your WebQuest.

The purpose of this WebQuest was designed to have students work in cooperative learning groups, using real-life situations and problem-solving skills to identify the differences between area and perimeter. It also shows you that rectangles can have the same perimeter, but they may have different areas. They can use a spreadsheet to organize and analyze the data from their group work. Students can reason through the process of gathering the data from individual from the group using technology(excel, math software like geo-sketchpad). They can visualize the geometry and can enhance understanding the concept. They will conclude from the data. I hope you enjoyed your

WebQuest.