GEOMETRICAL GARDENING

Cindy Boyd Anthony Ice

Phyllis Slayton Barb Steinbrunner

CLASS: Pre-Algebra, Algebra I, Geometry.

MATERIALS: Graph-paper, Ruler/Protractor, Calculator.

GOALS: To examine perimeter and volume in a usable situation and give students an opportunity to see connections between concepts and "Real-World" situations.

BACKGROUND: Students should have experience with various formulas of Area, Volume and Perimeter.

SETTING: Your local school board has appropriated funds to your school for landscaping in order to participate in the local "Operation City Beautiful" project.

PROBLEM: Your Principal has offered this project for open proposals. It is your team=s task to design such a proposal to meet the area requirements, improve the looks of the school entrance and spend no more than $1500.

EVALUATION: Points will be awarded to each group as follows:

30 points for the written report including:

1) Written description of proposal

2) Scale drawings of the design (overhead & side)

3) Expense sheet

4) List of any assumptions

20 points for the oral presentation

TEACHER NOTES:Encourage students to collect prices for supplies on their own.

A sample map is provided for this project. If possible, use an area around your own school to make this project even more meaningful.

A brief discussion is needed to make it clear what landscaping will involve.

Funded in part by the National Science Foundation and Indiana University 1995

STUDENT PROJECT SHEET

GEOMETRICAL GARDENING

MATERIALS: Graph-paper, Ruler/Protractor, Calculator.

GOALS: To examine perimeter and volume in a usable situation and give students an opportunity to see connections between concepts and "Real-World" situations.

SETTING: Your local school board has appropriated funds to your school for landscaping in order to participate in the local "Operation City Beautiful" project.

PROBLEM:Your Principal has offered this project for open proposals. It is your team=s task to design such a proposal to meet the area requirements, improve the looks of the school entrance and spend no more than $1500.

EVALUATION: Points will be awarded to each group as follows:

30 points for the written report including:

1) Written description of proposal

2) Scale drawing of the design (overhead & side)

3) Expense sheet

4) List of any assumptions

20 points for the oral presentation

Funded in part by the National Science Foundation and Indiana University 1995

AREA
FOR / EUCLID
LANDSCAPING / LANE
ENTRANCE
SIDEWALK
PARKING
SCALE: 1 in = 20 ft

Funded in part by the National Science Foundation and Indiana University 1995

SCHOOL
ENTRANCE
SIDEWALK / ___
SLOPE OF THE YARD

SCALE: 1 in = 2.5 ft

Funded in part by the National Science Foundation and Indiana University 1995

SAMPLE SOLUTION

GEOMETRICAL GARDENING

The following is an outline for the proposed landscaping improvement of the entrance of the school.

ASSUMPTIONS:

1) Slope/Elevation of yard is not to be changed.

2) Garden plot is to be low maintenance.

3) Maintenance will provide tools such as:

* shovels

* spades

* hand saws

* water hoses

EXPENSES:

1) New Sign 1 @ $ 200$ 200

2) Rail Road Ties34 @ $ 5$ 170

3) Top Soil1 Truck @ $ 70$ 70

4) Oak Trees 2 @ $ 100$ 200

5) Pine Trees 2 @ $ 70$ 140

6) Spruce Trees 5 @ $ 40$ 200

7) Orbitives 4 @ $ 15$ 60

8) Shrub 2 @ $ 40 $ 80

9) Evergreen Spreads15 @ $ 10$ 150

10) Plant Flats20 @ $ 5 $ 100

TOTAL: $1370

1 Truck = 9cubic yards

Estimated Cost $ 1500

Proposed Cost $ 1370

Amount Saved $ 130

Funded in part by the National Science Foundation and Indiana University 1995